question
stringlengths 12
86
| problem
stringclasses 10
values | how_to_solve
stringlengths 12
82
| answer
stringlengths 1
7
|
|---|---|---|---|
Solve: 7x + 7 ≥ -98
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x ≥ -15
|
Simplify -2/1
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
-2
|
What is -267 - -113?
|
Subtract the second number from the first.
|
Subtract -113 from -267.
|
-154
|
Solve for x: -2(x + -14) = 50
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-11
|
What is 21 + -133?
|
Add the two numbers.
|
Add 21 and -133.
|
-112
|
What is 3^5?
|
Evaluate the integer exponent.
|
Multiply 3 by itself 5 times (0th power = 1).
|
243
|
What is 6^4?
|
Evaluate the integer exponent.
|
Multiply 6 by itself 4 times (0th power = 1).
|
1296
|
Simplify 13/13
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
1
|
Solve for x: 7(x + 12) = 14
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-10
|
Solve for x: 3(x + 12) = 39
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
1
|
What is -306 ÷ -17?
|
Divide evenly.
|
Divide -306 by -17.
|
18
|
What is 51 + 143?
|
Add the two numbers.
|
Add 51 and 143.
|
194
|
What is -3^5?
|
Evaluate the integer exponent.
|
Multiply -3 by itself 5 times (0th power = 1).
|
-243
|
What is -143 ÷ 13?
|
Divide evenly.
|
Divide -143 by 13.
|
-11
|
Solve for x: -3(x + -8) = -6
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
10
|
What is 35 × 18?
|
Multiply the numbers.
|
Multiply 35 by 18.
|
630
|
Simplify -40/4
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
-10
|
What is 297 ÷ -27?
|
Divide evenly.
|
Divide 297 by -27.
|
-11
|
What is 116 - 285?
|
Subtract the second number from the first.
|
Subtract 285 from 116.
|
-169
|
Solve: -1x + 7 < -8
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x < 15
|
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
|
What is 4^3?
|
Evaluate the integer exponent.
|
Multiply 4 by itself 3 times (0th power = 1).
|
64
|
Solve for x: 3x + 14 = 71
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
19
|
What is -72 + 10?
|
Add the two numbers.
|
Add -72 and 10.
|
-62
|
What is 4^2?
|
Evaluate the integer exponent.
|
Multiply 4 by itself 2 times (0th power = 1).
|
16
|
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: -5x + 17 = 27
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-2
|
Solve for x: -5(x + -7) = 45
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-2
|
What is -125 - -106?
|
Subtract the second number from the first.
|
Subtract -106 from -125.
|
-19
|
If each item costs -10 dollars and the total cost is 20, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
-2
|
Solve: 2x + -19 > -37
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x > -9
|
What is 276 + 55?
|
Add the two numbers.
|
Add 276 and 55.
|
331
|
What is 5^1?
|
Evaluate the integer exponent.
|
Multiply 5 by itself 1 times (0th power = 1).
|
5
|
What is -11 × -35?
|
Multiply the numbers.
|
Multiply -11 by -35.
|
385
|
What is 20 ÷ -10?
|
Divide evenly.
|
Divide 20 by -10.
|
-2
|
What is -50 × -28?
|
Multiply the numbers.
|
Multiply -50 by -28.
|
1400
|
What is 191 + -272?
|
Add the two numbers.
|
Add 191 and -272.
|
-81
|
What is 135 + -50?
|
Add the two numbers.
|
Add 135 and -50.
|
85
|
Simplify 9/1
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
9
|
Solve for x: -3(x + -6) = 39
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-7
|
If each item costs 15 dollars and the total cost is -90, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
-6
|
What is -4^4?
|
Evaluate the integer exponent.
|
Multiply -4 by itself 4 times (0th power = 1).
|
256
|
Solve for x: -3x + 7 = -29
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
12
|
What is -2^4?
|
Evaluate the integer exponent.
|
Multiply -2 by itself 4 times (0th power = 1).
|
16
|
What is 7^2?
|
Evaluate the integer exponent.
|
Multiply 7 by itself 2 times (0th power = 1).
|
49
|
What is 6^4?
|
Evaluate the integer exponent.
|
Multiply 6 by itself 4 times (0th power = 1).
|
1296
|
What is -7^2?
|
Evaluate the integer exponent.
|
Multiply -7 by itself 2 times (0th power = 1).
|
49
|
Solve: -5x + 10 > 110
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x > -20
|
What is -33 × -4?
|
Multiply the numbers.
|
Multiply -33 by -4.
|
132
|
Solve for x: -3(x + 2) = -15
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
3
|
Solve: 9x + 4 ≥ 166
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x ≥ 18
|
If each item costs 17 dollars and the total cost is 272, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
16
|
If each item costs 15 dollars and the total cost is 435, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
29
|
Simplify 121/11
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
11
|
Solve for x: -3x + -2 = -20
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
6
|
Solve for x: -2x + 23 = 23
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
0
|
Simplify -156/13
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
-12
|
What is 273 + 297?
|
Add the two numbers.
|
Add 273 and 297.
|
570
|
Solve for x: -7(x + 6) = -28
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-2
|
Simplify 40/8
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
5
|
Solve for x: 1(x + -15) = -17
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-2
|
What is -154 - 164?
|
Subtract the second number from the first.
|
Subtract 164 from -154.
|
-318
|
Solve for x: -3(x + -6) = 33
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-5
|
What is -258 + -67?
|
Add the two numbers.
|
Add -258 and -67.
|
-325
|
Solve: -8x + 0 < 0
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x < 0
|
Simplify -28/14
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
-2
|
What is -125 ÷ 25?
|
Divide evenly.
|
Divide -125 by 25.
|
-5
|
If each item costs -3 dollars and the total cost is -72, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
24
|
Solve: -6x + -14 < 94
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x < -18
|
Solve for x: -1x + -16 = -20
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
4
|
What is 16 × 37?
|
Multiply the numbers.
|
Multiply 16 by 37.
|
592
|
What is 27 × 17?
|
Multiply the numbers.
|
Multiply 27 by 17.
|
459
|
What is -18 ÷ -6?
|
Divide evenly.
|
Divide -18 by -6.
|
3
|
Solve for x: -1(x + 12) = -15
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
3
|
What is 217 + -279?
|
Add the two numbers.
|
Add 217 and -279.
|
-62
|
Solve for x: -4x + 9 = 25
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-4
|
Solve for x: -12x + -27 = 9
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-3
|
What is -6^4?
|
Evaluate the integer exponent.
|
Multiply -6 by itself 4 times (0th power = 1).
|
1296
|
What is -96 ÷ 8?
|
Divide evenly.
|
Divide -96 by 8.
|
-12
|
What is -85 ÷ 5?
|
Divide evenly.
|
Divide -85 by 5.
|
-17
|
Simplify -45/15
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
-3
|
What is -7 × -59?
|
Multiply the numbers.
|
Multiply -7 by -59.
|
413
|
Solve for x: 6(x + 14) = 72
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-2
|
What is 153 + -296?
|
Add the two numbers.
|
Add 153 and -296.
|
-143
|
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
|
What is -285 - -173?
|
Subtract the second number from the first.
|
Subtract -173 from -285.
|
-112
|
Solve: 10x + -7 < -77
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x < -7
|
If each item costs 12 dollars and the total cost is -96, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
-8
|
Solve for x: -5(x + -2) = -45
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
11
|
What is -39 × -23?
|
Multiply the numbers.
|
Multiply -39 by -23.
|
897
|
What is 42 ÷ -21?
|
Divide evenly.
|
Divide 42 by -21.
|
-2
|
Solve for x: 10x + 1 = -189
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-19
|
What is 6^3?
|
Evaluate the integer exponent.
|
Multiply 6 by itself 3 times (0th power = 1).
|
216
|
Simplify -9/1
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
-9
|
Solve for x: 5x + 25 = -65
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-18
|
Solve for x: -2x + -18 = 16
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-17
|
What is 154 ÷ 22?
|
Divide evenly.
|
Divide 154 by 22.
|
7
|
If each item costs -10 dollars and the total cost is -130, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
13
|
Solve for x: -2(x + 6) = -20
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
4
|
What is -106 - 75?
|
Subtract the second number from the first.
|
Subtract 75 from -106.
|
-181
|
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