question
stringlengths 12
86
| problem
stringclasses 10
values | how_to_solve
stringlengths 12
82
| answer
stringlengths 1
7
|
|---|---|---|---|
Simplify 15/15
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
1
|
Simplify 30/5
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
6
|
Simplify 2/1
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
2
|
What is 2^2?
|
Evaluate the integer exponent.
|
Multiply 2 by itself 2 times (0th power = 1).
|
4
|
What is 7^0?
|
Evaluate the integer exponent.
|
Multiply 7 by itself 0 times (0th power = 1).
|
1
|
Solve: -6x + 13 ≥ -5
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x ≥ 3
|
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
|
If each item costs 7 dollars and the total cost is 210, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
30
|
Solve for x: -3(x + 1) = -42
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
13
|
Solve for x: 5(x + 0) = 15
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
3
|
Solve for x: -6(x + -5) = 72
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-7
|
If each item costs 11 dollars and the total cost is -22, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
-2
|
What is -219 + 54?
|
Add the two numbers.
|
Add -219 and 54.
|
-165
|
What is 8 × 6?
|
Multiply the numbers.
|
Multiply 8 by 6.
|
48
|
What is 0 ÷ -13?
|
Divide evenly.
|
Divide 0 by -13.
|
0
|
What is 39 × 14?
|
Multiply the numbers.
|
Multiply 39 by 14.
|
546
|
What is -2 ÷ 2?
|
Divide evenly.
|
Divide -2 by 2.
|
-1
|
Solve for x: 7x + 19 = -58
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-11
|
What is -103 - -28?
|
Subtract the second number from the first.
|
Subtract -28 from -103.
|
-75
|
Solve for x: 2(x + -14) = -22
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
3
|
Simplify 33/11
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
3
|
Solve for x: 1x + -3 = -3
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
0
|
What is -2^5?
|
Evaluate the integer exponent.
|
Multiply -2 by itself 5 times (0th power = 1).
|
-32
|
If each item costs -4 dollars and the total cost is 60, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
-15
|
Simplify -60/10
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
-6
|
What is -28 × 8?
|
Multiply the numbers.
|
Multiply -28 by 8.
|
-224
|
If each item costs 18 dollars and the total cost is 504, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
28
|
What is -26 ÷ 13?
|
Divide evenly.
|
Divide -26 by 13.
|
-2
|
Solve for x: 8(x + -8) = -152
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-11
|
If each item costs 5 dollars and the total cost is -95, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
-19
|
Simplify -10/5
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
-2
|
Simplify -88/11
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
-8
|
Solve: 10x + -8 < -8
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x < 0
|
Solve for x: 11x + 21 = 10
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-1
|
Solve for x: 6x + 17 = 77
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
10
|
What is -114 ÷ 19?
|
Divide evenly.
|
Divide -114 by 19.
|
-6
|
What is 165 + 190?
|
Add the two numbers.
|
Add 165 and 190.
|
355
|
What is 30 × -21?
|
Multiply the numbers.
|
Multiply 30 by -21.
|
-630
|
What is -18 × 54?
|
Multiply the numbers.
|
Multiply -18 by 54.
|
-972
|
Solve: 10x + -10 < -20
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x < -1
|
Simplify -10/5
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
-2
|
What is -49 + -226?
|
Add the two numbers.
|
Add -49 and -226.
|
-275
|
Solve for x: -7(x + -14) = 28
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
10
|
If each item costs -9 dollars and the total cost is -126, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
14
|
If each item costs 3 dollars and the total cost is 78, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
26
|
Solve: -1x + -12 ≥ -12
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x ≥ 0
|
What is 1^0?
|
Evaluate the integer exponent.
|
Multiply 1 by itself 0 times (0th power = 1).
|
1
|
What is 7^3?
|
Evaluate the integer exponent.
|
Multiply 7 by itself 3 times (0th power = 1).
|
343
|
If each item costs -3 dollars and the total cost is 39, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
-13
|
Simplify -36/4
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
-9
|
Solve for x: 5(x + 12) = 50
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-2
|
What is -219 - 81?
|
Subtract the second number from the first.
|
Subtract 81 from -219.
|
-300
|
Solve for x: -8x + 6 = 126
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-15
|
Solve for x: 3(x + -11) = -36
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
-1
|
What is 60 × 55?
|
Multiply the numbers.
|
Multiply 60 by 55.
|
3300
|
What is 241 - -152?
|
Subtract the second number from the first.
|
Subtract -152 from 241.
|
393
|
What is -32 × 3?
|
Multiply the numbers.
|
Multiply -32 by 3.
|
-96
|
Simplify -66/6
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
-11
|
If each item costs 13 dollars and the total cost is 169, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
13
|
What is -164 - -28?
|
Subtract the second number from the first.
|
Subtract -28 from -164.
|
-136
|
What is -76 - 150?
|
Subtract the second number from the first.
|
Subtract 150 from -76.
|
-226
|
Simplify -45/5
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
-9
|
What is -183 + -145?
|
Add the two numbers.
|
Add -183 and -145.
|
-328
|
What is 50 × -24?
|
Multiply the numbers.
|
Multiply 50 by -24.
|
-1200
|
What is 258 - 267?
|
Subtract the second number from the first.
|
Subtract 267 from 258.
|
-9
|
Solve for x: -4x + -17 = -45
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
7
|
Solve: -5x + 14 ≤ -26
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x ≤ 8
|
Solve: -5x + 2 ≤ -88
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x ≤ 18
|
What is -3^0?
|
Evaluate the integer exponent.
|
Multiply -3 by itself 0 times (0th power = 1).
|
1
|
Simplify 121/11
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
11
|
What is -7^1?
|
Evaluate the integer exponent.
|
Multiply -7 by itself 1 times (0th power = 1).
|
-7
|
Simplify -154/14
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
-11
|
What is 84 ÷ 21?
|
Divide evenly.
|
Divide 84 by 21.
|
4
|
What is 39 × 6?
|
Multiply the numbers.
|
Multiply 39 by 6.
|
234
|
Solve: -3x + 5 ≤ 29
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x ≤ -8
|
What is 85 - -161?
|
Subtract the second number from the first.
|
Subtract -161 from 85.
|
246
|
What is -156 - 222?
|
Subtract the second number from the first.
|
Subtract 222 from -156.
|
-378
|
What is -2^5?
|
Evaluate the integer exponent.
|
Multiply -2 by itself 5 times (0th power = 1).
|
-32
|
If each item costs -7 dollars and the total cost is -84, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
12
|
Solve for x: -4x + 16 = 36
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
-5
|
What is -60 + -215?
|
Add the two numbers.
|
Add -60 and -215.
|
-275
|
What is 29 - 79?
|
Subtract the second number from the first.
|
Subtract 79 from 29.
|
-50
|
If each item costs 3 dollars and the total cost is 18, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
6
|
Solve for x: -9x + 29 = -115
|
Solve the linear equation.
|
Subtract b from both sides, then divide by a.
|
16
|
Solve for x: -8(x + 5) = -64
|
Solve a two-step equation.
|
Divide both sides by a, then subtract b.
|
3
|
Simplify 88/11
|
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 -126, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
14
|
If each item costs -6 dollars and the total cost is 18, how many items were bought?
|
Solve using algebra.
|
Divide total cost by price per item.
|
-3
|
What is 95 ÷ -5?
|
Divide evenly.
|
Divide 95 by -5.
|
-19
|
Simplify 160/16
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
10
|
Solve: 2x + -7 ≤ -29
|
Solve the inequality.
|
Isolate x by subtracting b then dividing by a (flip sign if dividing by negative).
|
x ≤ -11
|
What is -5^5?
|
Evaluate the integer exponent.
|
Multiply -5 by itself 5 times (0th power = 1).
|
-3125
|
What is 2^5?
|
Evaluate the integer exponent.
|
Multiply 2 by itself 5 times (0th power = 1).
|
32
|
What is -231 - 51?
|
Subtract the second number from the first.
|
Subtract 51 from -231.
|
-282
|
Simplify -33/3
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
-11
|
What is 288 ÷ 18?
|
Divide evenly.
|
Divide 288 by 18.
|
16
|
What is 2^2?
|
Evaluate the integer exponent.
|
Multiply 2 by itself 2 times (0th power = 1).
|
4
|
What is 6^0?
|
Evaluate the integer exponent.
|
Multiply 6 by itself 0 times (0th power = 1).
|
1
|
Simplify 40/4
|
Reduce the fraction to simplest form.
|
Divide numerator and denominator by their GCD and normalize sign.
|
10
|
What is 57 ÷ 3?
|
Divide evenly.
|
Divide 57 by 3.
|
19
|
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