question
stringlengths 12
86
| problem
stringclasses 10
values | how_to_solve
stringlengths 12
82
| answer
stringlengths 1
7
|
|---|---|---|---|
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
|
If each item costs 8 dollars and the total cost is 184, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
23
|
Simplify -1/1
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
-1
|
Simplify -120/12
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
-10
|
Solve: 4x + 4 < 32
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x < 7
|
Solve for x: -5x + 18 = 103
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-17
|
If each item costs 5 dollars and the total cost is 115, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
23
|
What is -1^5?
|
Evaluate the integer exponent.
|
Multiply -1 by itself 5 times (0th power = 1).
|
-1
|
What is -111 - 190?
|
Subtract the second number from the first.
|
Subtract 190 from -111.
|
-301
|
What is -63 - 235?
|
Subtract the second number from the first.
|
Subtract 235 from -63.
|
-298
|
What is -5^1?
|
Evaluate the integer exponent.
|
Multiply -5 by itself 1 times (0th power = 1).
|
-5
|
What is 201 - -123?
|
Subtract the second number from the first.
|
Subtract -123 from 201.
|
324
|
What is -5^3?
|
Evaluate the integer exponent.
|
Multiply -5 by itself 3 times (0th power = 1).
|
-125
|
What is 74 - 121?
|
Subtract the second number from the first.
|
Subtract 121 from 74.
|
-47
|
Solve for x: 4(x + -1) = 0
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
1
|
What is 90 ÷ -15?
|
Divide evenly.
|
Divide 90 by -15.
|
-6
|
Solve for x: -1x + 28 = 46
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-18
|
Solve for x: 7(x + 7) = -49
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-14
|
Solve for x: -3(x + 9) = -6
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-7
|
Solve for x: 4x + 2 = 14
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
3
|
What is -27 × 1?
|
Multiply the numbers.
|
Multiply -27 by 1.
|
-27
|
What is 87 - 250?
|
Subtract the second number from the first.
|
Subtract 250 from 87.
|
-163
|
What is -22 ÷ 2?
|
Divide evenly.
|
Divide -22 by 2.
|
-11
|
What is -7^4?
|
Evaluate the integer exponent.
|
Multiply -7 by itself 4 times (0th power = 1).
|
2401
|
What is 264 ÷ 24?
|
Divide evenly.
|
Divide 264 by 24.
|
11
|
Solve: -4x + 9 > 53
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x > -11
|
Solve for x: -9x + -25 = -43
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
2
|
Solve for x: 7(x + 7) = 7
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-6
|
What is -58 × -57?
|
Multiply the numbers.
|
Multiply -58 by -57.
|
3306
|
What is -56 × -5?
|
Multiply the numbers.
|
Multiply -56 by -5.
|
280
|
What is 16 × 60?
|
Multiply the numbers.
|
Multiply 16 by 60.
|
960
|
If each item costs 15 dollars and the total cost is 300, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
20
|
Solve: -4x + 14 < 54
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x < -10
|
Solve for x: -4(x + -13) = 0
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
13
|
What is -19 ÷ -19?
|
Divide evenly.
|
Divide -19 by -19.
|
1
|
Solve for x: 1x + 5 = 23
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
18
|
Solve for x: 3(x + -7) = -27
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-2
|
What is 178 - -138?
|
Subtract the second number from the first.
|
Subtract -138 from 178.
|
316
|
What is -90 ÷ -10?
|
Divide evenly.
|
Divide -90 by -10.
|
9
|
Solve: 9x + -20 > -47
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x > -3
|
What is 1^2?
|
Evaluate the integer exponent.
|
Multiply 1 by itself 2 times (0th power = 1).
|
1
|
Solve for x: -7x + -30 = -30
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
0
|
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: -1x + 0 < 16
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x < -16
|
Solve for x: 4(x + 8) = -24
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-14
|
What is 180 - 85?
|
Subtract the second number from the first.
|
Subtract 85 from 180.
|
95
|
What is -3^0?
|
Evaluate the integer exponent.
|
Multiply -3 by itself 0 times (0th power = 1).
|
1
|
What is -60 ÷ -15?
|
Divide evenly.
|
Divide -60 by -15.
|
4
|
What is -31 × -44?
|
Multiply the numbers.
|
Multiply -31 by -44.
|
1364
|
Solve for x: -5x + 11 = 26
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-3
|
If each item costs 2 dollars and the total cost is 10, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
5
|
What is -53 × -17?
|
Multiply the numbers.
|
Multiply -53 by -17.
|
901
|
What is 44 - -165?
|
Subtract the second number from the first.
|
Subtract -165 from 44.
|
209
|
What is -195 + 299?
|
Add the two numbers.
|
Add -195 and 299.
|
104
|
What is -53 × -27?
|
Multiply the numbers.
|
Multiply -53 by -27.
|
1431
|
What is 48 ÷ -4?
|
Divide evenly.
|
Divide 48 by -4.
|
-12
|
What is -180 ÷ 15?
|
Divide evenly.
|
Divide -180 by 15.
|
-12
|
If each item costs 8 dollars and the total cost is 120, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
15
|
Simplify -12/3
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
-4
|
Solve for x: -11x + -28 = -237
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
19
|
Solve for x: 7x + -22 = 118
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
20
|
What is 0 × 12?
|
Multiply the numbers.
|
Multiply 0 by 12.
|
0
|
If each item costs -7 dollars and the total cost is -203, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
29
|
What is -156 ÷ 26?
|
Divide evenly.
|
Divide -156 by 26.
|
-6
|
If each item costs 12 dollars and the total cost is -204, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
-17
|
What is 1^5?
|
Evaluate the integer exponent.
|
Multiply 1 by itself 5 times (0th power = 1).
|
1
|
What is -48 × 38?
|
Multiply the numbers.
|
Multiply -48 by 38.
|
-1824
|
Solve: -6x + 10 < 52
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x < -7
|
Solve for x: 1(x + 9) = 24
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
15
|
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
|
Simplify -3/3
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
-1
|
What is -3 × -24?
|
Multiply the numbers.
|
Multiply -3 by -24.
|
72
|
Solve: -7x + 8 ≤ 1
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x ≤ 1
|
Simplify 112/14
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
8
|
If each item costs 9 dollars and the total cost is -117, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
-13
|
What is 25 × 12?
|
Multiply the numbers.
|
Multiply 25 by 12.
|
300
|
What is 276 + -40?
|
Add the two numbers.
|
Add 276 and -40.
|
236
|
What is -44 ÷ 22?
|
Divide evenly.
|
Divide -44 by 22.
|
-2
|
What is -90 - 266?
|
Subtract the second number from the first.
|
Subtract 266 from -90.
|
-356
|
Solve: -10x + -15 ≤ -165
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x ≤ 15
|
What is 1^4?
|
Evaluate the integer exponent.
|
Multiply 1 by itself 4 times (0th power = 1).
|
1
|
What is 92 ÷ 23?
|
Divide evenly.
|
Divide 92 by 23.
|
4
|
What is 336 ÷ -21?
|
Divide evenly.
|
Divide 336 by -21.
|
-16
|
Solve: -4x + -19 ≤ 37
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x ≤ -14
|
What is -24 × -22?
|
Multiply the numbers.
|
Multiply -24 by -22.
|
528
|
If each item costs 19 dollars and the total cost is 76, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
4
|
Simplify 4/1
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
4
|
Simplify -13/13
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
-1
|
What is -280 ÷ 14?
|
Divide evenly.
|
Divide -280 by 14.
|
-20
|
What is -23 + 218?
|
Add the two numbers.
|
Add -23 and 218.
|
195
|
Solve for x: 6(x + -4) = 0
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
4
|
Solve for x: 6(x + 9) = 30
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-4
|
Simplify 40/10
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
4
|
If each item costs 18 dollars and the total cost is -18, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
-1
|
What is 80 ÷ 20?
|
Divide evenly.
|
Divide 80 by 20.
|
4
|
What is 8^3?
|
Evaluate the integer exponent.
|
Multiply 8 by itself 3 times (0th power = 1).
|
512
|
Solve for x: 7(x + -3) = -63
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-6
|
Simplify -64/8
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
-8
|
What is 180 + -237?
|
Add the two numbers.
|
Add 180 and -237.
|
-57
|
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
|
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