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SAReasoning-5000000

question stringlengths 16 86	problem stringclasses 8 values	how_to_solve stringlengths 18 82	answer stringlengths 1 20
If each item costs 1 dollars and the total cost is 20, how many items were bought?	Solve using algebra.	Divide total cost by price per item.	20
Solve: \|1x + -14\| ≤ 19	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	-5 ≤ x ≤ 33
Solve for x: 10x + -26 = -216	Solve the linear equation.	Subtract b from both sides, then divide by a.	-19
Solve: \|-3x + 1\| = 13	Find integer solutions x, if any.	Set inside equal to ±c and solve both linear equations.	-4
Solve: \|2x + 1\| ≤ 7	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	-4 ≤ x ≤ 3
Simplify: -8x + 4x + 7y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	-4x + 7y
Solve for x: -8(x + 2) = -32	Solve a two-step equation.	Divide both sides by a, then subtract b.	2
If each item costs 10 dollars and the total cost is 290, how many items were bought?	Solve using algebra.	Divide total cost by price per item.	29
Solve: -6x + 16 ≥ 112	Solve the inequality.	Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).	x ≥ -16
Solve for x: -1x + 2 = -7	Solve the linear equation.	Subtract b from both sides, then divide by a.	9
Solve: 4x + 0 > 48	Solve the inequality.	Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).	x > 12
Simplify: 8x + 2x + -2y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	10x - 2y
Solve for x: 3(x + -4) = -30	Solve a two-step equation.	Divide both sides by a, then subtract b.	-6
What is -30% of 70?	Compute the percent value (integer-safe).	Compute -30/100 × 70.	-21
Solve: 3x + 16 > -29	Solve the inequality.	Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).	x > -15
Solve for x: -2(x + -9) = 44	Solve a two-step equation.	Divide both sides by a, then subtract b.	-13
What is -27% of 600?	Compute the percent value (integer-safe).	Compute -27/100 × 600.	-162
If each item costs 2 dollars and the total cost is 16, how many items were bought?	Solve using algebra.	Divide total cost by price per item.	8
Solve: \|1x + 14\| ≤ 5	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	-19 ≤ x ≤ -9
What is -33% of 500?	Compute the percent value (integer-safe).	Compute -33/100 × 500.	-165
Simplify: -6x + -5x + -2y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	-11x - 2y
Solve: -3x + -17 < 37	Solve the inequality.	Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).	x < -18
Simplify: 8x + -6x + 6y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	2x + 6y
What is 6% of 350?	Compute the percent value (integer-safe).	Compute 6/100 × 350.	21
Solve for x: -3x + -3 = -9	Solve the linear equation.	Subtract b from both sides, then divide by a.	2
Solve: \|-5x + -15\| ≤ 20	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	-7 ≤ x ≤ 1
Solve for x: 4(x + 14) = 104	Solve a two-step equation.	Divide both sides by a, then subtract b.	12
What is -22% of 200?	Compute the percent value (integer-safe).	Compute -22/100 × 200.	-44
Solve for x: 4(x + 11) = 52	Solve a two-step equation.	Divide both sides by a, then subtract b.	2
Solve for x: 1(x + -7) = -3	Solve a two-step equation.	Divide both sides by a, then subtract b.	4
Solve for x: -12x + -16 = 128	Solve the linear equation.	Subtract b from both sides, then divide by a.	-12
Solve: \|-1x + 1\| = 7	Find integer solutions x, if any.	Set inside equal to ±c and solve both linear equations.	-6, 8
Simplify: -8x + -4x + -4y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	-12x - 4y
Solve: \|4x + 9\| ≤ 0	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	no integer solutions
Solve: -6x + -8 > 4	Solve the inequality.	Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).	x > -2
Solve for x: 5(x + 13) = 15	Solve a two-step equation.	Divide both sides by a, then subtract b.	-10
Simplify: -4x + -3x + -6y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	-7x - 6y
What is 119% of 1000?	Compute the percent value (integer-safe).	Compute 119/100 × 1000.	1190
Simplify: 8x + -3x + 8y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	5x + 8y
Solve: \|3x + -17\| ≤ 14	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	1 ≤ x ≤ 10
If each item costs 12 dollars and the total cost is -192, how many items were bought?	Solve using algebra.	Divide total cost by price per item.	-16
Solve for x: 6x + -14 = 46	Solve the linear equation.	Subtract b from both sides, then divide by a.	10
Solve for x: 8x + -17 = -49	Solve the linear equation.	Subtract b from both sides, then divide by a.	-4
Solve for x: 8(x + -12) = -192	Solve a two-step equation.	Divide both sides by a, then subtract b.	-12
If each item costs 19 dollars and the total cost is 114, how many items were bought?	Solve using algebra.	Divide total cost by price per item.	6
If each item costs -1 dollars and the total cost is 16, how many items were bought?	Solve using algebra.	Divide total cost by price per item.	-16
Solve for x: -3x + -25 = -25	Solve the linear equation.	Subtract b from both sides, then divide by a.	0
If each item costs 12 dollars and the total cost is -120, how many items were bought?	Solve using algebra.	Divide total cost by price per item.	-10
If each item costs 3 dollars and the total cost is 51, how many items were bought?	Solve using algebra.	Divide total cost by price per item.	17
If each item costs 19 dollars and the total cost is -361, how many items were bought?	Solve using algebra.	Divide total cost by price per item.	-19
Solve: \|-5x + 10\| ≤ 4	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	2 ≤ x ≤ 2
Solve: \|-7x + 20\| ≤ 13	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	1 ≤ x ≤ 4
Solve for x: 1(x + -12) = -17	Solve a two-step equation.	Divide both sides by a, then subtract b.	-5
Solve: \|-8x + 5\| ≤ 17	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	-1 ≤ x ≤ 2
Solve: -9x + -19 ≤ -172	Solve the inequality.	Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).	x ≤ 17
Solve: \|-2x + 13\| ≤ 9	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	2 ≤ x ≤ 11
Solve: \|8x + -6\| = 18	Find integer solutions x, if any.	Set inside equal to ±c and solve both linear equations.	3
Solve: \|-3x + 3\| ≤ 14	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	-3 ≤ x ≤ 5
Solve: \|3x + -2\| = 10	Find integer solutions x, if any.	Set inside equal to ±c and solve both linear equations.	4
Solve for x: 6(x + 10) = 102	Solve a two-step equation.	Divide both sides by a, then subtract b.	7
If each item costs -10 dollars and the total cost is -180, how many items were bought?	Solve using algebra.	Divide total cost by price per item.	18
Solve for x: -5(x + -11) = 50	Solve a two-step equation.	Divide both sides by a, then subtract b.	1
If each item costs 1 dollars and the total cost is -9, how many items were bought?	Solve using algebra.	Divide total cost by price per item.	-9
Solve: \|4x + -14\| = 15	Find integer solutions x, if any.	Set inside equal to ±c and solve both linear equations.	no integer solutions
Solve: -6x + 12 > 18	Solve the inequality.	Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).	x > -1
Solve for x: -1(x + -5) = -9	Solve a two-step equation.	Divide both sides by a, then subtract b.	14
If each item costs 8 dollars and the total cost is 0, how many items were bought?	Solve using algebra.	Divide total cost by price per item.	0
Simplify: -3x + -3x + 5y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	-6x + 5y
Solve for x: 2(x + -4) = -4	Solve a two-step equation.	Divide both sides by a, then subtract b.	2
If each item costs 15 dollars and the total cost is 240, how many items were bought?	Solve using algebra.	Divide total cost by price per item.	16
Solve for x: -3x + -14 = -50	Solve the linear equation.	Subtract b from both sides, then divide by a.	12
If each item costs 12 dollars and the total cost is -84, how many items were bought?	Solve using algebra.	Divide total cost by price per item.	-7
Solve: \|-8x + -9\| ≤ 2	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	-1 ≤ x ≤ -1
If each item costs 15 dollars and the total cost is 390, how many items were bought?	Solve using algebra.	Divide total cost by price per item.	26
Simplify: -6x + -5x + -4y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	-11x - 4y
Solve for x: -12x + -5 = -77	Solve the linear equation.	Subtract b from both sides, then divide by a.	6
Solve for x: -8(x + 1) = 80	Solve a two-step equation.	Divide both sides by a, then subtract b.	-11
Solve: \|5x + 2\| = 18	Find integer solutions x, if any.	Set inside equal to ±c and solve both linear equations.	-4
Simplify: -3x + -3x + -2y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	-6x - 2y
Simplify: -8x + -3x + 6y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	-11x + 6y
If each item costs 2 dollars and the total cost is -36, how many items were bought?	Solve using algebra.	Divide total cost by price per item.	-18
Solve: \|1x + 0\| ≤ 12	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	-12 ≤ x ≤ 12
Solve: \|-8x + -12\| ≤ 7	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	-2 ≤ x ≤ -1
Solve: 5x + -11 > -1	Solve the inequality.	Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).	x > 2
Simplify: -7x + -1x + 0y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	-8x
What is 67% of 800?	Compute the percent value (integer-safe).	Compute 67/100 × 800.	536
Simplify: 7x + 5x + 0y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	12x
What is 26% of 250?	Compute the percent value (integer-safe).	Compute 26/100 × 250.	65
Solve: -6x + -4 > -64	Solve the inequality.	Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).	x > 10
Simplify: 6x + -1x + 2y	Combine like terms.	Add coefficients of like terms (x with x, y with y).	5x + 2y
Solve for x: 5x + 30 = 85	Solve the linear equation.	Subtract b from both sides, then divide by a.	11
Solve for x: -11x + 11 = 55	Solve the linear equation.	Subtract b from both sides, then divide by a.	-4
Solve: \|-1x + -9\| ≤ 4	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	-13 ≤ x ≤ -5
Solve: \|5x + -12\| ≤ 19	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	-1 ≤ x ≤ 6
Solve for x: -2(x + -10) = 4	Solve a two-step equation.	Divide both sides by a, then subtract b.	8
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: \|7x + 10\| ≤ 0	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	no integer solutions
Solve: \|3x + 11\| ≤ 11	Find integer range of x satisfying the absolute inequality.	Isolate and produce interval then take integer bounds.	-7 ≤ x ≤ 0
Solve: -8x + -2 ≥ 14	Solve the inequality.	Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).	x ≥ -2
Solve: -9x + -20 ≥ 61	Solve the inequality.	Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).	x ≥ -9