question
stringlengths 12
86
| problem
stringclasses 10
values | how_to_solve
stringlengths 12
82
| answer
stringlengths 1
7
|
|---|---|---|---|
Solve: -5x + 19 < 14
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x < 1
|
Simplify -165/15
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
-11
|
If each item costs -6 dollars and the total cost is -54, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
9
|
Solve for x: 2(x + 4) = 6
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-1
|
Simplify -84/14
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
-6
|
Solve for x: 5x + -10 = 0
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
2
|
Solve for x: -2(x + 10) = -2
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-9
|
What is -24 ÷ 8?
|
Divide evenly.
|
Divide -24 by 8.
|
-3
|
What is 4 × -60?
|
Multiply the numbers.
|
Multiply 4 by -60.
|
-240
|
If each item costs -1 dollars and the total cost is -15, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
15
|
Simplify 70/14
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
5
|
If each item costs -1 dollars and the total cost is 3, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
-3
|
What is -99 + 186?
|
Add the two numbers.
|
Add -99 and 186.
|
87
|
If each item costs 5 dollars and the total cost is 35, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
7
|
What is -19 × 54?
|
Multiply the numbers.
|
Multiply -19 by 54.
|
-1026
|
What is -38 × 7?
|
Multiply the numbers.
|
Multiply -38 by 7.
|
-266
|
What is 79 + 278?
|
Add the two numbers.
|
Add 79 and 278.
|
357
|
What is -190 - -212?
|
Subtract the second number from the first.
|
Subtract -212 from -190.
|
22
|
What is 54 ÷ 27?
|
Divide evenly.
|
Divide 54 by 27.
|
2
|
What is -1^1?
|
Evaluate the integer exponent.
|
Multiply -1 by itself 1 times (0th power = 1).
|
-1
|
Solve for x: 3(x + 8) = -15
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-13
|
Solve for x: 4x + -8 = -68
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-15
|
What is -28 × 9?
|
Multiply the numbers.
|
Multiply -28 by 9.
|
-252
|
What is 60 ÷ -4?
|
Divide evenly.
|
Divide 60 by -4.
|
-15
|
Solve: 2x + -20 ≤ -56
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x ≤ -18
|
If each item costs 10 dollars and the total cost is 110, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
11
|
If each item costs 0 dollars and the total cost is 0, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
30
|
What is -510 ÷ 30?
|
Divide evenly.
|
Divide -510 by 30.
|
-17
|
What is -266 ÷ 14?
|
Divide evenly.
|
Divide -266 by 14.
|
-19
|
Solve for x: -7x + 9 = -96
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
15
|
What is -118 + 266?
|
Add the two numbers.
|
Add -118 and 266.
|
148
|
What is 86 + -296?
|
Add the two numbers.
|
Add 86 and -296.
|
-210
|
Solve for x: 5(x + -8) = -90
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-10
|
What is -237 + -235?
|
Add the two numbers.
|
Add -237 and -235.
|
-472
|
If each item costs -7 dollars and the total cost is -105, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
15
|
What is -7^2?
|
Evaluate the integer exponent.
|
Multiply -7 by itself 2 times (0th power = 1).
|
49
|
What is -2^1?
|
Evaluate the integer exponent.
|
Multiply -2 by itself 1 times (0th power = 1).
|
-2
|
What is -69 - -289?
|
Subtract the second number from the first.
|
Subtract -289 from -69.
|
220
|
If each item costs 18 dollars and the total cost is 72, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
4
|
What is -110 + -181?
|
Add the two numbers.
|
Add -110 and -181.
|
-291
|
Simplify 42/7
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
6
|
Solve: -3x + 16 > -8
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x > 8
|
What is -6^5?
|
Evaluate the integer exponent.
|
Multiply -6 by itself 5 times (0th power = 1).
|
-7776
|
Solve for x: 6(x + -11) = 12
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
13
|
What is 14 ÷ -14?
|
Divide evenly.
|
Divide 14 by -14.
|
-1
|
What is -288 - 6?
|
Subtract the second number from the first.
|
Subtract 6 from -288.
|
-294
|
Simplify -42/6
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
-7
|
Simplify 96/12
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
8
|
What is -336 ÷ 24?
|
Divide evenly.
|
Divide -336 by 24.
|
-14
|
Solve: 7x + 14 ≥ 91
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x ≥ 11
|
If each item costs 6 dollars and the total cost is 144, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
24
|
Solve for x: -2x + 22 = 20
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
1
|
Solve for x: 10x + 3 = -127
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-13
|
Simplify -84/12
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
-7
|
Solve for x: -7(x + 9) = 14
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-11
|
Solve: 9x + 13 ≤ 184
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x ≤ 19
|
What is -165 - 300?
|
Subtract the second number from the first.
|
Subtract 300 from -165.
|
-465
|
If each item costs 15 dollars and the total cost is -270, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
-18
|
What is 135 ÷ -27?
|
Divide evenly.
|
Divide 135 by -27.
|
-5
|
Solve: -2x + -15 < -7
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x < -4
|
What is -234 ÷ -13?
|
Divide evenly.
|
Divide -234 by -13.
|
18
|
Solve: -8x + -20 < -124
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x < 13
|
Solve for x: -5(x + 10) = 20
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-14
|
Solve for x: 3(x + 4) = 54
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
14
|
Simplify -50/5
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
-10
|
What is 29 × 11?
|
Multiply the numbers.
|
Multiply 29 by 11.
|
319
|
Solve: -7x + 13 > 118
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x > -15
|
Solve for x: -8(x + 3) = 48
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-9
|
Solve for x: -2(x + 0) = 26
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-13
|
What is -2^4?
|
Evaluate the integer exponent.
|
Multiply -2 by itself 4 times (0th power = 1).
|
16
|
What is 77 - -285?
|
Subtract the second number from the first.
|
Subtract -285 from 77.
|
362
|
Solve for x: -8(x + 1) = -64
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
7
|
What is 45 × -23?
|
Multiply the numbers.
|
Multiply 45 by -23.
|
-1035
|
What is 220 ÷ -20?
|
Divide evenly.
|
Divide 220 by -20.
|
-11
|
Solve: 7x + -18 ≥ -102
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x ≥ -12
|
Solve for x: -4x + 2 = 66
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-16
|
If each item costs -8 dollars and the total cost is -56, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
7
|
Simplify -12/6
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
-2
|
What is 216 - -190?
|
Subtract the second number from the first.
|
Subtract -190 from 216.
|
406
|
What is 6^0?
|
Evaluate the integer exponent.
|
Multiply 6 by itself 0 times (0th power = 1).
|
1
|
If each item costs 17 dollars and the total cost is -51, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
-3
|
What is -135 - -230?
|
Subtract the second number from the first.
|
Subtract -230 from -135.
|
95
|
What is -38 - -96?
|
Subtract the second number from the first.
|
Subtract -96 from -38.
|
58
|
If each item costs 17 dollars and the total cost is -34, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
-2
|
What is -16 × 49?
|
Multiply the numbers.
|
Multiply -16 by 49.
|
-784
|
Solve for x: 2(x + -2) = 18
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
11
|
What is 48 ÷ -12?
|
Divide evenly.
|
Divide 48 by -12.
|
-4
|
What is 26 × 22?
|
Multiply the numbers.
|
Multiply 26 by 22.
|
572
|
What is -22 × -42?
|
Multiply the numbers.
|
Multiply -22 by -42.
|
924
|
What is 15 × 14?
|
Multiply the numbers.
|
Multiply 15 by 14.
|
210
|
Solve for x: -12x + 24 = 108
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-7
|
Solve for x: 4(x + -8) = -68
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-9
|
Solve for x: -5x + 4 = -96
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
20
|
What is -7 × 39?
|
Multiply the numbers.
|
Multiply -7 by 39.
|
-273
|
What is -36 + 103?
|
Add the two numbers.
|
Add -36 and 103.
|
67
|
Solve: 5x + -11 > -21
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x > -2
|
What is 6^4?
|
Evaluate the integer exponent.
|
Multiply 6 by itself 4 times (0th power = 1).
|
1296
|
What is -10 ÷ -10?
|
Divide evenly.
|
Divide -10 by -10.
|
1
|
If each item costs 19 dollars and the total cost is 57, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
3
|
What is -1 × 40?
|
Multiply the numbers.
|
Multiply -1 by 40.
|
-40
|
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