question
stringlengths 12
86
| problem
stringclasses 10
values | how_to_solve
stringlengths 12
82
| answer
stringlengths 1
7
|
|---|---|---|---|
If each item costs 7 dollars and the total cost is 168, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
24
|
Solve for x: 4(x + 9) = 36
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
0
|
What is 131 + 62?
|
Add the two numbers.
|
Add 131 and 62.
|
193
|
What is 153 + -88?
|
Add the two numbers.
|
Add 153 and -88.
|
65
|
Solve for x: 3(x + 13) = 63
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
8
|
If each item costs 11 dollars and the total cost is -165, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
-15
|
If each item costs 11 dollars and the total cost is 132, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
12
|
What is 6^0?
|
Evaluate the integer exponent.
|
Multiply 6 by itself 0 times (0th power = 1).
|
1
|
Solve: -7x + -2 < 89
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x < -13
|
Solve for x: -3(x + 6) = -39
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
7
|
What is 7^4?
|
Evaluate the integer exponent.
|
Multiply 7 by itself 4 times (0th power = 1).
|
2401
|
Solve for x: 3(x + -14) = -69
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-9
|
What is -12 × 49?
|
Multiply the numbers.
|
Multiply -12 by 49.
|
-588
|
What is -160 ÷ -20?
|
Divide evenly.
|
Divide -160 by -20.
|
8
|
What is -15 × 6?
|
Multiply the numbers.
|
Multiply -15 by 6.
|
-90
|
What is -4^4?
|
Evaluate the integer exponent.
|
Multiply -4 by itself 4 times (0th power = 1).
|
256
|
What is -63 + 3?
|
Add the two numbers.
|
Add -63 and 3.
|
-60
|
Solve: -4x + -2 ≤ -50
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x ≤ 12
|
What is 324 ÷ 27?
|
Divide evenly.
|
Divide 324 by 27.
|
12
|
Solve: -8x + 3 < -69
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x < 9
|
Solve: 5x + -13 < 67
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x < 16
|
If each item costs -5 dollars and the total cost is -85, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
17
|
Simplify -6/3
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
-2
|
Simplify 40/5
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
8
|
What is -2 × 25?
|
Multiply the numbers.
|
Multiply -2 by 25.
|
-50
|
Solve for x: 5(x + -10) = -65
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-3
|
What is 15 - 207?
|
Subtract the second number from the first.
|
Subtract 207 from 15.
|
-192
|
Simplify 180/15
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
12
|
Simplify -10/10
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
-1
|
Solve for x: -4(x + -13) = 72
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-5
|
What is 68 - -144?
|
Subtract the second number from the first.
|
Subtract -144 from 68.
|
212
|
Solve: 6x + -3 < 69
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x < 12
|
What is -106 + -172?
|
Add the two numbers.
|
Add -106 and -172.
|
-278
|
Simplify 165/15
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
11
|
Solve for x: -7(x + -5) = 84
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-7
|
Simplify 13/13
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
1
|
What is 35 × 33?
|
Multiply the numbers.
|
Multiply 35 by 33.
|
1155
|
Solve for x: -9x + 25 = 7
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
2
|
What is 1^4?
|
Evaluate the integer exponent.
|
Multiply 1 by itself 4 times (0th power = 1).
|
1
|
What is 241 - -100?
|
Subtract the second number from the first.
|
Subtract -100 from 241.
|
341
|
Solve for x: -7(x + -15) = 168
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-9
|
Simplify 32/8
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
4
|
What is -3 × -37?
|
Multiply the numbers.
|
Multiply -3 by -37.
|
111
|
Solve: -5x + -7 ≥ 48
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x ≥ -11
|
What is 3^5?
|
Evaluate the integer exponent.
|
Multiply 3 by itself 5 times (0th power = 1).
|
243
|
What is 8^0?
|
Evaluate the integer exponent.
|
Multiply 8 by itself 0 times (0th power = 1).
|
1
|
Simplify -40/5
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
-8
|
What is 75 - -1?
|
Subtract the second number from the first.
|
Subtract -1 from 75.
|
76
|
What is 35 ÷ 5?
|
Divide evenly.
|
Divide 35 by 5.
|
7
|
Simplify -33/11
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
-3
|
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.
|
25
|
If each item costs 2 dollars and the total cost is -22, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
-11
|
What is 7^4?
|
Evaluate the integer exponent.
|
Multiply 7 by itself 4 times (0th power = 1).
|
2401
|
What is 75 ÷ -15?
|
Divide evenly.
|
Divide 75 by -15.
|
-5
|
Solve for x: 6(x + -11) = -60
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
1
|
Solve: 9x + 19 ≤ 46
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x ≤ 3
|
Solve for x: 2(x + -12) = 4
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
14
|
Simplify 6/2
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
3
|
What is 6^2?
|
Evaluate the integer exponent.
|
Multiply 6 by itself 2 times (0th power = 1).
|
36
|
Solve for x: -9x + -14 = 112
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-14
|
Simplify -25/5
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
-5
|
What is 43 × -19?
|
Multiply the numbers.
|
Multiply 43 by -19.
|
-817
|
If each item costs -3 dollars and the total cost is -36, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
12
|
What is -4^1?
|
Evaluate the integer exponent.
|
Multiply -4 by itself 1 times (0th power = 1).
|
-4
|
Solve: 1x + -7 ≤ -13
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x ≤ -6
|
Solve for x: -2x + -16 = -6
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-5
|
What is 152 ÷ -8?
|
Divide evenly.
|
Divide 152 by -8.
|
-19
|
If each item costs 11 dollars and the total cost is 242, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
22
|
What is -33 × 42?
|
Multiply the numbers.
|
Multiply -33 by 42.
|
-1386
|
What is -213 - -134?
|
Subtract the second number from the first.
|
Subtract -134 from -213.
|
-79
|
What is 10 + -100?
|
Add the two numbers.
|
Add 10 and -100.
|
-90
|
What is -222 + 286?
|
Add the two numbers.
|
Add -222 and 286.
|
64
|
What is -210 - -284?
|
Subtract the second number from the first.
|
Subtract -284 from -210.
|
74
|
Solve for x: -8x + -20 = 36
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-7
|
If each item costs -3 dollars and the total cost is -15, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
5
|
Solve for x: 11x + 18 = 128
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
10
|
What is 15 × 36?
|
Multiply the numbers.
|
Multiply 15 by 36.
|
540
|
What is 9 × 45?
|
Multiply the numbers.
|
Multiply 9 by 45.
|
405
|
Solve: 2x + -19 ≤ -49
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x ≤ -15
|
Simplify 12/6
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
2
|
What is -55 × 6?
|
Multiply the numbers.
|
Multiply -55 by 6.
|
-330
|
What is 67 - -83?
|
Subtract the second number from the first.
|
Subtract -83 from 67.
|
150
|
If each item costs -7 dollars and the total cost is 126, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
-18
|
Solve: 2x + -11 ≤ -31
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x ≤ -10
|
Solve for x: -6(x + -14) = 120
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-6
|
Solve for x: -1(x + 14) = -23
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
9
|
What is -27 × 38?
|
Multiply the numbers.
|
Multiply -27 by 38.
|
-1026
|
What is -35 × -17?
|
Multiply the numbers.
|
Multiply -35 by -17.
|
595
|
If each item costs -5 dollars and the total cost is -140, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
28
|
What is -48 ÷ 3?
|
Divide evenly.
|
Divide -48 by 3.
|
-16
|
Simplify 63/7
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
9
|
Solve: 8x + -20 < -4
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x < 2
|
What is 274 + 146?
|
Add the two numbers.
|
Add 274 and 146.
|
420
|
What is -36 × -7?
|
Multiply the numbers.
|
Multiply -36 by -7.
|
252
|
Simplify 64/16
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
4
|
What is 283 - 48?
|
Subtract the second number from the first.
|
Subtract 48 from 283.
|
235
|
If each item costs -9 dollars and the total cost is -225, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
25
|
Solve for x: -4x + -8 = 40
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-12
|
What is -44 × 43?
|
Multiply the numbers.
|
Multiply -44 by 43.
|
-1892
|
What is 8 × 29?
|
Multiply the numbers.
|
Multiply 8 by 29.
|
232
|
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