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SAReasoning-600000

question stringlengths 16 86	problem stringclasses 8 values	how_to_solve stringlengths 18 82	answer stringlengths 1 20
Simplify: -4x + 4x + 1y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	1y
If each item costs 15 dollars and the total cost is -120, how many items were bought?	Solve using algebra.	Divide total cost by price per item.	-8
Solve: -1x + -16 ≥ -11	Solve the inequality.	Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).	x ≥ -5
If each item costs -8 dollars and the total cost is 128, how many items were bought?	Solve using algebra.	Divide total cost by price per item.	-16
What is 140% of 30?	Compute the percent value (integer-safe).	Compute 140/100 × 30.	42
Simplify: 6x + 7x + -5y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	13x - 5y
Solve for x: -6x + 28 = 124	Solve the linear equation.	Subtract b from both sides, then divide by a.	-16
Simplify: -2x + 0x + 8y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	-2x + 8y
If each item costs 20 dollars and the total cost is 380, how many items were bought?	Solve using algebra.	Divide total cost by price per item.	19
Solve: \|1x + -6\| ≤ 17	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	-11 ≤ x ≤ 23
What is 140% of 0?	Compute the percent value (integer-safe).	Compute 140/100 × 0.	0
Solve: \|-2x + -10\| ≤ 19	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	-14 ≤ x ≤ 4
Solve for x: -5x + 17 = -38	Solve the linear equation.	Subtract b from both sides, then divide by a.	11
Simplify: -1x + -5x + 5y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	-6x + 5y
If each item costs -2 dollars and the total cost is -12, how many items were bought?	Solve using algebra.	Divide total cost by price per item.	6
Solve: \|1x + 13\| = 4	Find integer solutions x, if any.	Set inside equal to ±c and solve both linear equations.	-9, -17
Solve: -1x + -8 ≤ 10	Solve the inequality.	Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).	x ≤ -18
If each item costs 7 dollars and the total cost is -42, how many items were bought?	Solve using algebra.	Divide total cost by price per item.	-6
Solve for x: -12x + 26 = 170	Solve the linear equation.	Subtract b from both sides, then divide by a.	-12
Solve for x: -6x + -25 = -139	Solve the linear equation.	Subtract b from both sides, then divide by a.	19
What is 121% of 700?	Compute the percent value (integer-safe).	Compute 121/100 × 700.	847
Simplify: 6x + -4x + 2y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	2x + 2y
If each item costs 11 dollars and the total cost is 66, how many items were bought?	Solve using algebra.	Divide total cost by price per item.	6
Solve: -7x + 18 > -17	Solve the inequality.	Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).	x > 5
Simplify: -3x + -5x + -4y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	-8x - 4y
Solve for x: -2(x + 7) = -20	Solve a two-step equation.	Divide both sides by a, then subtract b.	3
Solve: \|5x + 13\| = 9	Find integer solutions x, if any.	Set inside equal to ±c and solve both linear equations.	no integer solutions
Solve: \|6x + 16\| ≤ 2	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	-3 ≤ x ≤ -3
If each item costs 20 dollars and the total cost is 600, how many items were bought?	Solve using algebra.	Divide total cost by price per item.	30
Solve: 2x + -19 ≥ 7	Solve the inequality.	Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).	x ≥ 13
Solve: 6x + -17 > 31	Solve the inequality.	Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).	x > 8
Solve: \|8x + 8\| = 0	Find integer solutions x, if any.	Set inside equal to ±c and solve both linear equations.	-1
Simplify: 8x + 0x + -5y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	8x - 5y
Simplify: -7x + 6x + 8y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	-1x + 8y
Solve: \|8x + 1\| ≤ 4	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	0 ≤ x ≤ 0
Solve for x: 9x + 7 = 25	Solve the linear equation.	Subtract b from both sides, then divide by a.	2
What is 23% of 900?	Compute the percent value (integer-safe).	Compute 23/100 × 900.	207
Solve for x: 8x + -13 = 19	Solve the linear equation.	Subtract b from both sides, then divide by a.	4
Solve for x: 11x + -17 = -226	Solve the linear equation.	Subtract b from both sides, then divide by a.	-19
Solve for x: 2(x + -13) = -16	Solve a two-step equation.	Divide both sides by a, then subtract b.	5
Simplify: -1x + -6x + 1y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	-7x + 1y
Solve for x: -9x + 12 = -69	Solve the linear equation.	Subtract b from both sides, then divide by a.	9
Solve: \|2x + -15\| = 1	Find integer solutions x, if any.	Set inside equal to ±c and solve both linear equations.	8, 7
If each item costs 14 dollars and the total cost is -42, how many items were bought?	Solve using algebra.	Divide total cost by price per item.	-3
What is 104% of 0?	Compute the percent value (integer-safe).	Compute 104/100 × 0.	0
Solve for x: 5x + 3 = -22	Solve the linear equation.	Subtract b from both sides, then divide by a.	-5
Simplify: -4x + 5x + 7y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	1x + 7y
Solve for x: 9x + -28 = 116	Solve the linear equation.	Subtract b from both sides, then divide by a.	16
What is 30% of 60?	Compute the percent value (integer-safe).	Compute 30/100 × 60.	18
What is 150% of 4?	Compute the percent value (integer-safe).	Compute 150/100 × 4.	6
Solve: -3x + 6 ≥ 48	Solve the inequality.	Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).	x ≥ -14
Solve for x: 8(x + -15) = -96	Solve a two-step equation.	Divide both sides by a, then subtract b.	3
Solve for x: -8(x + -11) = 120	Solve a two-step equation.	Divide both sides by a, then subtract b.	-4
Solve: \|-2x + -11\| = 10	Find integer solutions x, if any.	Set inside equal to ±c and solve both linear equations.	no integer solutions
Solve: 4x + 2 ≤ -58	Solve the inequality.	Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).	x ≤ -15
Solve: \|-4x + -5\| ≤ 9	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	-3 ≤ x ≤ 1
If each item costs 1 dollars and the total cost is 24, how many items were bought?	Solve using algebra.	Divide total cost by price per item.	24
Solve: -7x + -10 ≥ 88	Solve the inequality.	Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).	x ≥ -14
If each item costs 20 dollars and the total cost is -160, how many items were bought?	Solve using algebra.	Divide total cost by price per item.	-8
If each item costs 16 dollars and the total cost is 384, how many items were bought?	Solve using algebra.	Divide total cost by price per item.	24
What is 118% of 500?	Compute the percent value (integer-safe).	Compute 118/100 × 500.	590
Solve for x: 4x + 18 = 78	Solve the linear equation.	Subtract b from both sides, then divide by a.	15
What is 70% of 70?	Compute the percent value (integer-safe).	Compute 70/100 × 70.	49
Solve for x: -1x + 5 = -14	Solve the linear equation.	Subtract b from both sides, then divide by a.	19
Solve: 7x + 2 > 128	Solve the inequality.	Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).	x > 18
Solve: \|-8x + 4\| = 5	Find integer solutions x, if any.	Set inside equal to ±c and solve both linear equations.	no integer solutions
Solve for x: 1x + -27 = -18	Solve the linear equation.	Subtract b from both sides, then divide by a.	9
Solve for x: 6x + 4 = 58	Solve the linear equation.	Subtract b from both sides, then divide by a.	9
What is 118% of 450?	Compute the percent value (integer-safe).	Compute 118/100 × 450.	531
What is -36% of 0?	Compute the percent value (integer-safe).	Compute -36/100 × 0.	0
What is 134% of 100?	Compute the percent value (integer-safe).	Compute 134/100 × 100.	134
Solve for x: 8x + -9 = -129	Solve the linear equation.	Subtract b from both sides, then divide by a.	-15
Solve for x: -11x + -4 = 161	Solve the linear equation.	Subtract b from both sides, then divide by a.	-15
Solve: \|1x + 2\| = 9	Find integer solutions x, if any.	Set inside equal to ±c and solve both linear equations.	7, -11
Simplify: -8x + 2x + -2y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	-6x - 2y
Solve: 6x + 12 < -42	Solve the inequality.	Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).	x < -9
Solve: -6x + -5 ≥ 31	Solve the inequality.	Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).	x ≥ -6
Solve for x: -9x + 23 = 68	Solve the linear equation.	Subtract b from both sides, then divide by a.	-5
Solve for x: -11x + -16 = -203	Solve the linear equation.	Subtract b from both sides, then divide by a.	17
What is -23% of 800?	Compute the percent value (integer-safe).	Compute -23/100 × 800.	-184
Simplify: 4x + -1x + -1y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	3x - 1y
If each item costs 2 dollars and the total cost is 20, how many items were bought?	Solve using algebra.	Divide total cost by price per item.	10
Solve: -2x + -2 < 22	Solve the inequality.	Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).	x < -12
Simplify: -6x + 4x + -6y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	-2x - 6y
Solve for x: 3x + 7 = 19	Solve the linear equation.	Subtract b from both sides, then divide by a.	4
If each item costs -3 dollars and the total cost is -45, how many items were bought?	Solve using algebra.	Divide total cost by price per item.	15
Solve for x: -3x + 26 = 68	Solve the linear equation.	Subtract b from both sides, then divide by a.	-14
What is -40% of 35?	Compute the percent value (integer-safe).	Compute -40/100 × 35.	-14
Solve for x: -6x + -1 = 101	Solve the linear equation.	Subtract b from both sides, then divide by a.	-17
What is 13% of 200?	Compute the percent value (integer-safe).	Compute 13/100 × 200.	26
Simplify: -1x + 1x + -6y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	-6y
Solve for x: 8(x + 2) = -72	Solve a two-step equation.	Divide both sides by a, then subtract b.	-11
Simplify: -5x + 6x + 0y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	1x
Simplify: -4x + 5x + 2y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	1x + 2y
Solve: \|-1x + -3\| = 10	Find integer solutions x, if any.	Set inside equal to ±c and solve both linear equations.	-13, 7
Solve: \|-6x + -18\| ≤ 16	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	-5 ≤ x ≤ -1
Solve for x: -4x + 20 = -48	Solve the linear equation.	Subtract b from both sides, then divide by a.	17
What is 132% of 125?	Compute the percent value (integer-safe).	Compute 132/100 × 125.	165
Solve: \|4x + -4\| = 2	Find integer solutions x, if any.	Set inside equal to ±c and solve both linear equations.	no integer solutions
Solve: \|3x + 14\| = 2	Find integer solutions x, if any.	Set inside equal to ±c and solve both linear equations.	-4