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a1_math_mathcoder

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{"question": "Let j = -4247/42 + 635/6. What is the common denominator of j and 85/18?", "answer": "126"}
Let j = -4247/42 + 635/6. What is the common denominator of j and 85/18?
126
{"question": "What are the prime factors of 1323873331?", "answer": "11, 173, 695677"}
What are the prime factors of 1323873331?
11, 173, 695677
{"question": "Solve -5*q - 19*a - 4 = -18*a, -2*a = -2 for q.", "answer": "-1"}
Solve -5*q - 19*a - 4 = -18*a, -2*a = -2 for q.
-1
{"question": "Calculate the greatest common factor of 1217476 and 676.", "answer": "676"}
Calculate the greatest common factor of 1217476 and 676.
676
{"question": "Let z(t) = -t**2 + 4*t + 2. Suppose 5*y = 63 - 8. Let q(r) = -6*r**2 + 21*r + 10. Determine y*z(c) - 2*q(c).", "answer": "c**2 + 2*c + 2"}
Let z(t) = -t**2 + 4*t + 2. Suppose 5*y = 63 - 8. Let q(r) = -6*r**2 + 21*r + 10. Determine y*z(c) - 2*q(c).
c**2 + 2*c + 2
{"question": "Calculate 195 divided by 29.", "answer": "195/29"}
Calculate 195 divided by 29.
195/29
{"question": "Rearrange (-x + 3*x - x - 2)*((6 - 2 - 3)*(-1 + 1 - x) + 2*x - 1 + 1 - 2*x + 7*x + 0*x) to the form w*x + h + o*x**2 and give o.", "answer": "6"}
Rearrange (-x + 3*x - x - 2)*((6 - 2 - 3)*(-1 + 1 - x) + 2*x - 1 + 1 - 2*x + 7*x + 0*x) to the form w*x + h + o*x**2 and give o.
6
{"question": "Round -0.000004013129 to 6 decimal places.", "answer": "-0.000004"}
Round -0.000004013129 to 6 decimal places.
-0.000004
{"question": "Evaluate -16*-44*(-420)/3520.", "answer": "-84"}
Evaluate -16*-44*(-420)/3520.
-84
{"question": "Let t(q) = q**2 - q + 2. Suppose 5*b + 2*v - 6 = 0, -3*v - 1 + 10 = 2*b. Let f be t(b). Suppose 65 - 23 = 3*z - r, f*z = -3*r + 17. Is z a multiple of 4?", "answer": "False"}
Let t(q) = q**2 - q + 2. Suppose 5*b + 2*v - 6 = 0, -3*v - 1 + 10 = 2*b. Let f be t(b). Suppose 65 - 23 = 3*z - r, f*z = -3*r + 17. Is z a multiple of 4?
False
{"question": "List the prime factors of 9207849.", "answer": "3, 7, 53, 8273"}
List the prime factors of 9207849.
3, 7, 53, 8273
{"question": "Suppose -3*l + 3 = 3*x, -2*x + l - 4 = 5*l. Suppose 5*f = x*f + 5. Suppose -f*p + 29 = -16. List the prime factors of p.", "answer": "3"}
Suppose -3*l + 3 = 3*x, -2*x + l - 4 = 5*l. Suppose 5*f = x*f + 5. Suppose -f*p + 29 = -16. List the prime factors of p.
3
{"question": "Simplify ((sqrt(19) - -5*sqrt(171)) + -3 - (-5 + 5*sqrt(171)))**2*-4.", "answer": "-92 - 16*sqrt(19)"}
Simplify ((sqrt(19) - -5*sqrt(171)) + -3 - (-5 + 5*sqrt(171)))**2*-4.
-92 - 16*sqrt(19)
{"question": "Simplify (q*q/q**(1/4)*q**(-1/8)*q*q)/(q/(q**(-1/3)/q)*q)**(-4) assuming q is positive.", "answer": "q**(407/24)"}
Simplify (q*q/q**(1/4)*q**(-1/8)*q*q)/(q/(q**(-1/3)/q)*q)**(-4) assuming q is positive.
q**(407/24)
{"question": "Is 66617 a composite number?", "answer": "False"}
Is 66617 a composite number?
False
{"question": "Let r = -149 - -267. Calculate the greatest common factor of 1593 and r.", "answer": "59"}
Let r = -149 - -267. Calculate the greatest common factor of 1593 and r.
59
{"question": "Let k be ((510/(-500))/17)/((-6)/5). Which is the second smallest value? (a) -20 (b) -3 (c) k", "answer": "b"}
Let k be ((510/(-500))/17)/((-6)/5). Which is the second smallest value? (a) -20 (b) -3 (c) k
b
{"question": "Let z(f) = -5*f - 1. Let b be z(-7). Let q = b - 10. Let r = 5 + 11. Calculate the highest common factor of r and q.", "answer": "8"}
Let z(f) = -5*f - 1. Let b be z(-7). Let q = b - 10. Let r = 5 + 11. Calculate the highest common factor of r and q.
8
{"question": "Suppose 5*i = -31 - 59. Let u = i + 84. What is the greatest common factor of u and 99?", "answer": "33"}
Suppose 5*i = -31 - 59. Let u = i + 84. What is the greatest common factor of u and 99?
33
{"question": "What is 3/25 of a centimeter in micrometers?", "answer": "1200"}
What is 3/25 of a centimeter in micrometers?
1200
{"question": "(-4)/(-26) - 513/1053", "answer": "-1/3"}
(-4)/(-26) - 513/1053
-1/3
{"question": "What is 231 minutes before 10:53 AM?", "answer": "7:02 AM"}
What is 231 minutes before 10:53 AM?
7:02 AM
{"question": "Express -7*b**3 + 10 - 3*b**3 + 14*b**3 as u + w*b**3 + i*b**2 + s*b and give u.", "answer": "10"}
Express -7*b**3 + 10 - 3*b**3 + 14*b**3 as u + w*b**3 + i*b**2 + s*b and give u.
10
{"question": "What is the greatest common factor of 64 and 11576?", "answer": "8"}
What is the greatest common factor of 64 and 11576?
8
{"question": "Suppose 0*m - 3*b = m + 79, b + 143 = -2*m. Let t = m + 53. Which is smaller: t or -16?", "answer": "t"}
Suppose 0*m - 3*b = m + 79, b + 143 = -2*m. Let t = m + 53. Which is smaller: t or -16?
t
{"question": "Is 5411 a composite number?", "answer": "True"}
Is 5411 a composite number?
True
{"question": "Let w = 141 + -141. Solve -4*k + 17 = -w*z - z, 4*k - 15 = -z for k.", "answer": "4"}
Let w = 141 + -141. Solve -4*k + 17 = -w*z - z, 4*k - 15 = -z for k.
4
{"question": "Let p(a) = -8*a**2. Suppose 4146 = 5*t + 4*g - 469, -5*g + 1846 = 2*t. Let z(q) = t*q - 464*q - 439*q. Calculate p(z(u)).", "answer": "-3200*u**2"}
Let p(a) = -8*a**2. Suppose 4146 = 5*t + 4*g - 469, -5*g + 1846 = 2*t. Let z(q) = t*q - 464*q - 439*q. Calculate p(z(u)).
-3200*u**2
{"question": "What is the value of 2 - 10 - (-6 - -3)?", "answer": "-5"}
What is the value of 2 - 10 - (-6 - -3)?
-5
{"question": "Let s(x) = 1 - 119030*x - x**2 + 119030*x + x**3 - 4. Let y(k) = -k**3 + 2. What is -2*s(r) - 3*y(r)?", "answer": "r**3 + 2*r**2"}
Let s(x) = 1 - 119030*x - x**2 + 119030*x + x**3 - 4. Let y(k) = -k**3 + 2. What is -2*s(r) - 3*y(r)?
r**3 + 2*r**2
{"question": "Calculate prob of picking 1 b, 1 n, and 1 q when three letters picked without replacement from hcqccbnhnc.", "answer": "1/60"}
Calculate prob of picking 1 b, 1 n, and 1 q when three letters picked without replacement from hcqccbnhnc.
1/60
{"question": "What is the value of 4 + -2 + 1 + 8?", "answer": "11"}
What is the value of 4 + -2 + 1 + 8?
11
{"question": "Factor -2*h**2 + 415*h - 830*h - 272 + 365*h.", "answer": "-2*(h + 8)*(h + 17)"}
Factor -2*h**2 + 415*h - 830*h - 272 + 365*h.
-2*(h + 8)*(h + 17)
{"question": "Let a = -13.88 - -14. Let r = 0.21 + -0.53. Let x = r + a. Is x less than 8?", "answer": "True"}
Let a = -13.88 - -14. Let r = 0.21 + -0.53. Let x = r + a. Is x less than 8?
True
{"question": "Simplify ((5*(-4 + sqrt(4050)*-1) + (sqrt(4050) - sqrt(4050)*1)*-6 + 5)*-4)**2 + 2.", "answer": "108000*sqrt(2) + 1623602"}
Simplify ((5*(-4 + sqrt(4050)*-1) + (sqrt(4050) - sqrt(4050)*1)*-6 + 5)*-4)**2 + 2.
108000*sqrt(2) + 1623602
{"question": "In base 10, what is -83 + -13?", "answer": "-96"}
In base 10, what is -83 + -13?
-96
{"question": "Express -4*b**4 + 40 - b**4 + 65 - 90 + 8*b**3 as i + w*b**2 + a*b + h*b**4 + y*b**3 and give i.", "answer": "15"}
Express -4*b**4 + 40 - b**4 + 65 - 90 + 8*b**3 as i + w*b**2 + a*b + h*b**4 + y*b**3 and give i.
15
{"question": "Suppose -5062 = 19*r - 5081. Which is smaller: 21/221 or r?", "answer": "21/221"}
Suppose -5062 = 19*r - 5081. Which is smaller: 21/221 or r?
21/221
{"question": "Which is bigger: -2 or -19/25?", "answer": "-19/25"}
Which is bigger: -2 or -19/25?
-19/25
{"question": "How many minutes are there between 11:55 PM and 11:22 AM?", "answer": "687"}
How many minutes are there between 11:55 PM and 11:22 AM?
687
{"question": "2/(3*14/21)", "answer": "1"}
2/(3*14/21)
1
{"question": "Sort 3, -29.5, 0, -1/2 in ascending order.", "answer": "-29.5, -1/2, 0, 3"}
Sort 3, -29.5, 0, -1/2 in ascending order.
-29.5, -1/2, 0, 3
{"question": "What is the lowest common multiple of 33645990 and 43259130?", "answer": "302813910"}
What is the lowest common multiple of 33645990 and 43259130?
302813910
{"question": "Suppose 0 = 2*r + 3*r. Let h be r - (3 - 58/18). Let i = 8 - 6. Is i bigger than h?", "answer": "True"}
Suppose 0 = 2*r + 3*r. Let h be r - (3 - 58/18). Let i = 8 - 6. Is i bigger than h?
True
{"question": "Let b(o) = -8*o + 0*o + 829 - 396 - 433. Let z(t) = 390*t. What is z(b(s))?", "answer": "-3120*s"}
Let b(o) = -8*o + 0*o + 829 - 396 - 433. Let z(t) = 390*t. What is z(b(s))?
-3120*s
{"question": "Let g = -21.8 - -32.7. What is g rounded to the nearest integer?", "answer": "11"}
Let g = -21.8 - -32.7. What is g rounded to the nearest integer?
11
{"question": "282 times -29403", "answer": "-8291646"}
282 times -29403
-8291646
{"question": "16*3.3", "answer": "52.8"}
16*3.3
52.8
{"question": "Let r = -38 - -19. Let x = 19 + r. Suppose x*l - 201 = -3*l. Is l a composite number?", "answer": "False"}
Let r = -38 - -19. Let x = 19 + r. Suppose x*l - 201 = -3*l. Is l a composite number?
False
{"question": "Solve -29*k = -376*k + 52*k - 14455 for k.", "answer": "-49"}
Solve -29*k = -376*k + 52*k - 14455 for k.
-49
{"question": "Simplify (y**(9/4))**(-1/18)/(y**(-4))**(-38) assuming y is positive.", "answer": "y**(-1217/8)"}
Simplify (y**(9/4))**(-1/18)/(y**(-4))**(-38) assuming y is positive.
y**(-1217/8)
{"question": "What is 462 minutes after 1:37 AM?", "answer": "9:19 AM"}
What is 462 minutes after 1:37 AM?
9:19 AM
{"question": "Suppose 5*o + 10 = 0, -2*l + 10 = -3*o + 2. Solve 0 = 5*i - 19 - l for i.", "answer": "4"}
Suppose 5*o + 10 = 0, -2*l + 10 = -3*o + 2. Solve 0 = 5*i - 19 - l for i.
4
{"question": "Let t = 10 - 11. Let b be (-1)/t + (0 - -1). Suppose -g = -b*f - 5*g + 120, 0 = 3*f + 2*g - 172. List the prime factors of f.", "answer": "2, 7"}
Let t = 10 - 11. Let b be (-1)/t + (0 - -1). Suppose -g = -b*f - 5*g + 120, 0 = 3*f + 2*g - 172. List the prime factors of f.
2, 7
{"question": "Simplify ((sqrt(84)*-3)/sqrt(12))**2 - (sqrt(7) + (sqrt(7) - (-3*sqrt(7) + 2))).", "answer": "-5*sqrt(7) + 65"}
Simplify ((sqrt(84)*-3)/sqrt(12))**2 - (sqrt(7) + (sqrt(7) - (-3*sqrt(7) + 2))).
-5*sqrt(7) + 65
{"question": "Let z(d) = -7*d**2 - 578*d + 3716. What is z(6)?", "answer": "-4"}
Let z(d) = -7*d**2 - 578*d + 3716. What is z(6)?
-4
{"question": "Let w = -4410 - -4446. Calculate the greatest common divisor of w and 568.", "answer": "4"}
Let w = -4410 - -4446. Calculate the greatest common divisor of w and 568.
4
{"question": "What is the eighth root of 35958233 to the nearest integer?", "answer": "9"}
What is the eighth root of 35958233 to the nearest integer?
9
{"question": "-11 + 20 - (-13 - (-11 + -1 - -4))", "answer": "14"}
-11 + 20 - (-13 - (-11 + -1 - -4))
14
{"question": "13022 (base 7) to base 11", "answer": "2653"}
13022 (base 7) to base 11
2653
{"question": "Two letters picked without replacement from {h: 3, n: 2, g: 4}. What is prob of picking 1 g and 1 n?", "answer": "2/9"}
Two letters picked without replacement from {h: 3, n: 2, g: 4}. What is prob of picking 1 g and 1 n?
2/9
{"question": "What is the least common multiple of 270 and 785295?", "answer": "1570590"}
What is the least common multiple of 270 and 785295?
1570590
{"question": "Let h be 1 + 76/8 + (-1)/(-2). Find the first derivative of 14 - 9 - 8*i + 6 + h wrt i.", "answer": "-8"}
Let h be 1 + 76/8 + (-1)/(-2). Find the first derivative of 14 - 9 - 8*i + 6 + h wrt i.
-8
{"question": "Let m be (-16)/20*250/(-4). Suppose 3*f - 1 = m. Is f a multiple of 9?", "answer": "False"}
Let m be (-16)/20*250/(-4). Suppose 3*f - 1 = m. Is f a multiple of 9?
False
{"question": "Suppose 0 = 4*j - 4*o - 146 - 78, 122 = 2*j - 4*o. Suppose -j*l + 1188 = -33*l. What is the remainder when l is divided by 23?", "answer": "20"}
Suppose 0 = 4*j - 4*o - 146 - 78, 122 = 2*j - 4*o. Suppose -j*l + 1188 = -33*l. What is the remainder when l is divided by 23?
20
{"question": "How many days are there in 4/7 of a week?", "answer": "4"}
How many days are there in 4/7 of a week?
4
{"question": "Calculate the remainder when 343 is divided by 68.", "answer": "3"}
Calculate the remainder when 343 is divided by 68.
3
{"question": "Find the second derivative of -253902358*f**3 - 55365873*f.", "answer": "-1523414148*f"}
Find the second derivative of -253902358*f**3 - 55365873*f.
-1523414148*f
{"question": "Suppose 2/7*v**2 + 3/7*v - 3/7*v**4 + 1/7 - 2/7*v**3 - 1/7*v**5 = 0. What is v?", "answer": "-1, 1"}
Suppose 2/7*v**2 + 3/7*v - 3/7*v**4 + 1/7 - 2/7*v**3 - 1/7*v**5 = 0. What is v?
-1, 1
{"question": "Let m = -27734.051 + 27734. Is m <= 32?", "answer": "True"}
Let m = -27734.051 + 27734. Is m <= 32?
True
{"question": "Let w(r) = -123*r - 121. Give w(3).", "answer": "-490"}
Let w(r) = -123*r - 121. Give w(3).
-490
{"question": "List the prime factors of 9663664.", "answer": "2, 157, 3847"}
List the prime factors of 9663664.
2, 157, 3847
{"question": "Divide 7104 by 6.", "answer": "1184"}
Divide 7104 by 6.
1184
{"question": "List the prime factors of 11974278.", "answer": "2, 3, 1995713"}
List the prime factors of 11974278.
2, 3, 1995713
{"question": "Let c(k) = -k**4 - k**2 - k. Let h(r) = 15*r**4 + 4*r**2 + 4*r - 10. Let a = 81 + -85. Let f(y) = a*c(y) - h(y). What is the derivative of f(l) wrt l?", "answer": "-44*l**3"}
Let c(k) = -k**4 - k**2 - k. Let h(r) = 15*r**4 + 4*r**2 + 4*r - 10. Let a = 81 + -85. Let f(y) = a*c(y) - h(y). What is the derivative of f(l) wrt l?
-44*l**3
{"question": "Suppose t - 116 = -3*g + 12, t = -2*g + 86. Suppose 8*b - 29 = 19. What is the greatest common divisor of b and g?", "answer": "6"}
Suppose t - 116 = -3*g + 12, t = -2*g + 86. Suppose 8*b - 29 = 19. What is the greatest common divisor of b and g?
6
{"question": "What is 0.0005383763 rounded to five decimal places?", "answer": "0.00054"}
What is 0.0005383763 rounded to five decimal places?
0.00054
{"question": "Let s(z) = -2*z**2 - 29*z - 26. Let f be s(-13). Let m(v) = 4*v - 50. Let n be m(f). Solve n*w + 4 = 8 for w.", "answer": "2"}
Let s(z) = -2*z**2 - 29*z - 26. Let f be s(-13). Let m(v) = 4*v - 50. Let n be m(f). Solve n*w + 4 = 8 for w.
2
{"question": "Let q(j) = 5*j**3 - 2*j**2 + 6*j + 1. Let k be q(4). Let m(i) = 320*i**2 + 3 - k*i**2 - 3. Let g(u) = -5*u - 8. Calculate g(m(p)).", "answer": "-35*p**2 - 8"}
Let q(j) = 5*j**3 - 2*j**2 + 6*j + 1. Let k be q(4). Let m(i) = 320*i**2 + 3 - k*i**2 - 3. Let g(u) = -5*u - 8. Calculate g(m(p)).
-35*p**2 - 8
{"question": "Work out 2.8 * 7.", "answer": "19.6"}
Work out 2.8 * 7.
19.6
{"question": "Solve -5*c - 25 = -2*j, 4*j - 5*c - 17 = 8 for j.", "answer": "0"}
Solve -5*c - 25 = -2*j, 4*j - 5*c - 17 = 8 for j.
0
{"question": "Is 2935 a composite number?", "answer": "True"}
Is 2935 a composite number?
True
{"question": "Suppose 4*j - 21100 = -4*u, -3*u - 6*j = -9*j - 15843. What is the tens digit of u?", "answer": "7"}
Suppose 4*j - 21100 = -4*u, -3*u - 6*j = -9*j - 15843. What is the tens digit of u?
7
{"question": "Calculate 17 + -4 + -26 - -23.", "answer": "10"}
Calculate 17 + -4 + -26 - -23.
10
{"question": "Is 8366191 a prime number?", "answer": "True"}
Is 8366191 a prime number?
True
{"question": "Let m = 1065.01 - 1059. Let r = m - 6. Let f = r - 0.09. What is f rounded to 2 decimal places?", "answer": "-0.08"}
Let m = 1065.01 - 1059. Let r = m - 6. Let f = r - 0.09. What is f rounded to 2 decimal places?
-0.08
{"question": "What is 644000 rounded to the nearest 10000?", "answer": "640000"}
What is 644000 rounded to the nearest 10000?
640000
{"question": "Is 7418502 a multiple of 26?", "answer": "True"}
Is 7418502 a multiple of 26?
True
{"question": "Round 3880 to the nearest one thousand.", "answer": "4000"}
Round 3880 to the nearest one thousand.
4000
{"question": "Let b be 20/150 + 673/15. Solve -25 = 2*c - c + 4*s, -5*c = 4*s + b for c.", "answer": "-5"}
Let b be 20/150 + 673/15. Solve -25 = 2*c - c + 4*s, -5*c = 4*s + b for c.
-5
{"question": "Suppose s = 4*t + 24, s + 19 = -4*t + 3. Suppose 5*c = -14 + s. Let f be (0 + 0)*c/4. What is the closest to f in -4, 2/5, -1/5?", "answer": "-1/5"}
Suppose s = 4*t + 24, s + 19 = -4*t + 3. Suppose 5*c = -14 + s. Let f be (0 + 0)*c/4. What is the closest to f in -4, 2/5, -1/5?
-1/5
{"question": "Let h(j) = -j**2 + 12. Let r(s) = s + 1. Let c(w) = h(w) + 3*r(w). Let v be c(5). Solve 3*u = 2*q - 10, -3*u = -v*q - 4*u - 9 for q.", "answer": "-1"}
Let h(j) = -j**2 + 12. Let r(s) = s + 1. Let c(w) = h(w) + 3*r(w). Let v be c(5). Solve 3*u = 2*q - 10, -3*u = -v*q - 4*u - 9 for q.
-1
{"question": "Round 1752.12 to the nearest ten.", "answer": "1750"}
Round 1752.12 to the nearest ten.
1750
{"question": "What is the common denominator of -43/341 and -113/310?", "answer": "3410"}
What is the common denominator of -43/341 and -113/310?
3410
{"question": "Express (7*n - 16*n - 21*n)*(3 - 4 - 1)*(-2 + 2 + 1)*(3 + 0 + 0) in the form s + j*n and give s.", "answer": "0"}
Express (7*n - 16*n - 21*n)*(3 - 4 - 1)*(-2 + 2 + 1)*(3 + 0 + 0) in the form s + j*n and give s.
0
{"question": "Solve -10040*v = -574*v - 567960 for v.", "answer": "60"}
Solve -10040*v = -574*v - 567960 for v.
60
{"question": "Let y(p) be the third derivative of -p**6/30 + p**4/24 + p**3/6 - 18*p**2. Let t(j) = 5*j**3 - j - 1. Give 6*t(k) + 7*y(k).", "answer": "2*k**3 + k + 1"}
Let y(p) be the third derivative of -p**6/30 + p**4/24 + p**3/6 - 18*p**2. Let t(j) = 5*j**3 - j - 1. Give 6*t(k) + 7*y(k).
2*k**3 + k + 1
{"question": "Let y(w) = w**3 + 7*w**2 - w + 5. Let s be y(-7). Let p(q) = q - 1. Let t be p(4). Suppose -3*x - 30 = -t*g, -5*x = -2*x + s. What is the units digit of g?", "answer": "6"}
Let y(w) = w**3 + 7*w**2 - w + 5. Let s be y(-7). Let p(q) = q - 1. Let t be p(4). Suppose -3*x - 30 = -t*g, -5*x = -2*x + s. What is the units digit of g?
6
{"question": "Let t be 4 + 2 + (-8 - -3). What is the nearest to t in -4, -1/9, 0.4?", "answer": "0.4"}
Let t be 4 + 2 + (-8 - -3). What is the nearest to t in -4, -1/9, 0.4?
0.4
{"question": "What comes next: -2219, -4437, -6655?", "answer": "-8873"}
What comes next: -2219, -4437, -6655?
-8873