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mlfoundations-dev
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a1_math_mathcoder

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{"question": "Subtract 2539 from 0.1.", "answer": "-2538.9"}
Subtract 2539 from 0.1.
-2538.9
{"question": "Let y = -57/184 + 10/23. Let n = 2257/4 - 12817/20. Let f = 77 + n. What is the nearest to f in -2, 4, y?", "answer": "y"}
Let y = -57/184 + 10/23. Let n = 2257/4 - 12817/20. Let f = 77 + n. What is the nearest to f in -2, 4, y?
y
{"question": "Let d be 2/(-10) - (-16)/5. Suppose 3 = d*w - f, w - 6*w = -3*f - 1. Let j = 9 - 6. Sort j, w, 1 in increasing order.", "answer": "1, w, j"}
Let d be 2/(-10) - (-16)/5. Suppose 3 = d*w - f, w - 6*w = -3*f - 1. Let j = 9 - 6. Sort j, w, 1 in increasing order.
1, w, j
{"question": "Factor -10/13*m**2 - 4/13*m + 14/13*m**3 + 0.", "answer": "2*m*(m - 1)*(7*m + 2)/13"}
Factor -10/13*m**2 - 4/13*m + 14/13*m**3 + 0.
2*m*(m - 1)*(7*m + 2)/13
{"question": "Let w = 4 - 2. Suppose w*q = 6 + 2. Suppose 4*b = -5*d + 6*d + 6, 7 = -b - q*d. What is the units digit of b?", "answer": "1"}
Let w = 4 - 2. Suppose w*q = 6 + 2. Suppose 4*b = -5*d + 6*d + 6, 7 = -b - q*d. What is the units digit of b?
1
{"question": "Suppose 4 + 11 = -5*k. Let a = 0 - k. Find the common denominator of -41/8 and (a/(-8))/(2/66).", "answer": "8"}
Suppose 4 + 11 = -5*k. Let a = 0 - k. Find the common denominator of -41/8 and (a/(-8))/(2/66).
8
{"question": "Let y = 10 - 5. What is the common denominator of ((-6)/y)/((-44)/(-40)) and 18/5?", "answer": "55"}
Let y = 10 - 5. What is the common denominator of ((-6)/y)/((-44)/(-40)) and 18/5?
55
{"question": "Suppose v + 8 = 2*o, -5*v + v = -2*o + 26. Let a be 4 + v + (-7)/(-3). Which is smaller: 1 or a?", "answer": "a"}
Suppose v + 8 = 2*o, -5*v + v = -2*o + 26. Let a be 4 + v + (-7)/(-3). Which is smaller: 1 or a?
a
{"question": "What is -0.000000059284 rounded to seven decimal places?", "answer": "-0.0000001"}
What is -0.000000059284 rounded to seven decimal places?
-0.0000001
{"question": "Calculate the common denominator of (-115)/(-24) + (156 - 165) and -43/22.", "answer": "264"}
Calculate the common denominator of (-115)/(-24) + (156 - 165) and -43/22.
264
{"question": "Let x be 9799369 - (3 - 3)/(-5). Let y = 4629369 - x. Round y to the nearest 1000000.", "answer": "-5000000"}
Let x be 9799369 - (3 - 3)/(-5). Let y = 4629369 - x. Round y to the nearest 1000000.
-5000000
{"question": "Let h(w) = 2*w**2. Let k(r) = r**3 - 3*r**2 - 2*r - 5. Suppose 4*v + 0 = 16. Let d be k(v). Let c(f) = -d*f - f + 5*f. Calculate c(h(q)).", "answer": "2*q**2"}
Let h(w) = 2*w**2. Let k(r) = r**3 - 3*r**2 - 2*r - 5. Suppose 4*v + 0 = 16. Let d be k(v). Let c(f) = -d*f - f + 5*f. Calculate c(h(q)).
2*q**2
{"question": "Let v(d) = 0 + 0*d - 9 + 0 - d**2 + 10*d. Let n be v(8). Let z(b) = 8*b - 7. Calculate the remainder when z(n) is divided by 17.", "answer": "15"}
Let v(d) = 0 + 0*d - 9 + 0 - d**2 + 10*d. Let n be v(8). Let z(b) = 8*b - 7. Calculate the remainder when z(n) is divided by 17.
15
{"question": "Let k(h) = -h + 14. Let l be k(12). Differentiate u**2 - 4 - 3*u**3 - u**l wrt u.", "answer": "-9*u**2"}
Let k(h) = -h + 14. Let l be k(12). Differentiate u**2 - 4 - 3*u**3 - u**l wrt u.
-9*u**2
{"question": "Let f = -241.9 + 242. What is the closest to -0.1 in -5, 3/10, f, -6/25?", "answer": "-6/25"}
Let f = -241.9 + 242. What is the closest to -0.1 in -5, 3/10, f, -6/25?
-6/25
{"question": "What is the highest common factor of 45648 and 3924?", "answer": "36"}
What is the highest common factor of 45648 and 3924?
36
{"question": "Suppose v - 49 = 42. List the prime factors of v.", "answer": "7, 13"}
Suppose v - 49 = 42. List the prime factors of v.
7, 13
{"question": "What is the second derivative of -7311*y**5 - 605*y**3 - y**2 - 3*y - 4467872 wrt y?", "answer": "-146220*y**3 - 3630*y - 2"}
What is the second derivative of -7311*y**5 - 605*y**3 - y**2 - 3*y - 4467872 wrt y?
-146220*y**3 - 3630*y - 2
{"question": "What is 28460 divided by 2?", "answer": "14230"}
What is 28460 divided by 2?
14230
{"question": "Suppose 0*k - 20 = 2*k. Let q = 12 - k. Calculate the highest common divisor of 176 and q.", "answer": "22"}
Suppose 0*k - 20 = 2*k. Let q = 12 - k. Calculate the highest common divisor of 176 and q.
22
{"question": "What is the nearest to -1 in -2, 1.1, 4, -19/13, -23.6?", "answer": "-19/13"}
What is the nearest to -1 in -2, 1.1, 4, -19/13, -23.6?
-19/13
{"question": "Let j(n) = n**3 - 7*n**2 - 2*n - 51. Let c be j(8). Let t(v) = -2 + 0 - 34*v + 42*v + 0. Give t(c).", "answer": "-26"}
Let j(n) = n**3 - 7*n**2 - 2*n - 51. Let c be j(8). Let t(v) = -2 + 0 - 34*v + 42*v + 0. Give t(c).
-26
{"question": "How many decades are there in 278273.3 centuries?", "answer": "2782733"}
How many decades are there in 278273.3 centuries?
2782733
{"question": "Sort -3, -35, -23.", "answer": "-35, -23, -3"}
Sort -3, -35, -23.
-35, -23, -3
{"question": "What is the derivative of 402*v**3 + 35?", "answer": "1206*v**2"}
What is the derivative of 402*v**3 + 35?
1206*v**2
{"question": "Let c = 375 - 375. Solve c = 4*h + 3*v, -2*v - 3 = 3*h + v for h.", "answer": "3"}
Let c = 375 - 375. Solve c = 4*h + 3*v, -2*v - 3 = 3*h + v for h.
3
{"question": "What is -1228 (base 9) in base 5?", "answer": "-12132"}
What is -1228 (base 9) in base 5?
-12132
{"question": "Suppose 0 = -2*k - 4 - 6. Let s be (-2)/(-9) - 104/(-18). Suppose -2*w + 4*o = -3*w - 5, -s = 2*w + 4*o. Which is the closest to w? (a) k (b) -3/8 (c) 7", "answer": "b"}
Suppose 0 = -2*k - 4 - 6. Let s be (-2)/(-9) - 104/(-18). Suppose -2*w + 4*o = -3*w - 5, -s = 2*w + 4*o. Which is the closest to w? (a) k (b) -3/8 (c) 7
b
{"question": "What is the lowest common multiple of 898600 and 11120175?", "answer": "88961400"}
What is the lowest common multiple of 898600 and 11120175?
88961400
{"question": "Is -21215/2926 not equal to -7?", "answer": "True"}
Is -21215/2926 not equal to -7?
True
{"question": "Calculate the remainder when 385009 is divided by 11288.", "answer": "1217"}
Calculate the remainder when 385009 is divided by 11288.
1217
{"question": "What are the prime factors of 517?", "answer": "11, 47"}
What are the prime factors of 517?
11, 47
{"question": "Four letters picked without replacement from lmemeelleemeeemmll. What is prob of sequence mlee?", "answer": "35/1836"}
Four letters picked without replacement from lmemeelleemeeemmll. What is prob of sequence mlee?
35/1836
{"question": "Sort -12, 3, 0, 5, 7 in ascending order.", "answer": "-12, 0, 3, 5, 7"}
Sort -12, 3, 0, 5, 7 in ascending order.
-12, 0, 3, 5, 7
{"question": "Let k = -2116 - -2120. Let a(t) = 2*t + 8. Give a(k).", "answer": "16"}
Let k = -2116 - -2120. Let a(t) = 2*t + 8. Give a(k).
16
{"question": "Let q = -916.91 - -921. Let t = q - 4.59. Put 8, t, -1/8, 2 in ascending order.", "answer": "t, -1/8, 2, 8"}
Let q = -916.91 - -921. Let t = q - 4.59. Put 8, t, -1/8, 2 in ascending order.
t, -1/8, 2, 8
{"question": "Is 65 a factor of 278397340?", "answer": "True"}
Is 65 a factor of 278397340?
True
{"question": "Let l(g) = -g**2 + g - 1. Let c be l(2). Is (5/c)/((-29)/21837) a prime number?", "answer": "False"}
Let l(g) = -g**2 + g - 1. Let c be l(2). Is (5/c)/((-29)/21837) a prime number?
False
{"question": "What is -168 divided by 2?", "answer": "-84"}
What is -168 divided by 2?
-84
{"question": "Suppose 320 = 7*i + 3*i. Calculate the highest common factor of i and 256.", "answer": "32"}
Suppose 320 = 7*i + 3*i. Calculate the highest common factor of i and 256.
32
{"question": "Let v(j) = -3*j - 25. Let p be v(-9). Suppose p*y = -3*c + 2*c + 10, 5*y - 16 = 2*c. Put -2, -4, c in increasing order.", "answer": "-4, -2, c"}
Let v(j) = -3*j - 25. Let p be v(-9). Suppose p*y = -3*c + 2*c + 10, 5*y - 16 = 2*c. Put -2, -4, c in increasing order.
-4, -2, c
{"question": "Collect the terms in 2*v**3 - 249363*v**2 + 249363*v**2.", "answer": "2*v**3"}
Collect the terms in 2*v**3 - 249363*v**2 + 249363*v**2.
2*v**3
{"question": "Let z(j) = -4*j**2 + 16*j**2 - j**2 - 3*j**2 - 7*j**2. Let v(o) = o**2 - 11. What is z(v(h))?", "answer": "h**4 - 22*h**2 + 121"}
Let z(j) = -4*j**2 + 16*j**2 - j**2 - 3*j**2 - 7*j**2. Let v(o) = o**2 - 11. What is z(v(h))?
h**4 - 22*h**2 + 121
{"question": "Let s(z) = -z**2 + 13*z - 11. Let r be s(12). Let k(f) = 3*f + 27*f**3 + r + 7*f**2 - 11*f**2 - 28*f**3. Calculate k(-5).", "answer": "11"}
Let s(z) = -z**2 + 13*z - 11. Let r be s(12). Let k(f) = 3*f + 27*f**3 + r + 7*f**2 - 11*f**2 - 28*f**3. Calculate k(-5).
11
{"question": "Simplify (sqrt(1440) + (sqrt(1440) - (sqrt(1440) - 1*sqrt(1440) - sqrt(1440))))/(6*(sqrt(8) - 1*sqrt(8) - sqrt(8))).", "answer": "-3*sqrt(5)"}
Simplify (sqrt(1440) + (sqrt(1440) - (sqrt(1440) - 1*sqrt(1440) - sqrt(1440))))/(6*(sqrt(8) - 1*sqrt(8) - sqrt(8))).
-3*sqrt(5)
{"question": "Solve -199*u + 22252 = 551*u - 12998 for u.", "answer": "47"}
Solve -199*u + 22252 = 551*u - 12998 for u.
47
{"question": "Solve 8053*p = 9966*p - 30608 for p.", "answer": "16"}
Solve 8053*p = 9966*p - 30608 for p.
16
{"question": "Two letters picked without replacement from {a: 3, d: 5}. Give prob of picking 1 d and 1 a.", "answer": "15/28"}
Two letters picked without replacement from {a: 3, d: 5}. Give prob of picking 1 d and 1 a.
15/28
{"question": "Let k = -996 - -14927/15. Let i = 2384/21 + -767/7. What is the common denominator of i and k?", "answer": "105"}
Let k = -996 - -14927/15. Let i = 2384/21 + -767/7. What is the common denominator of i and k?
105
{"question": "Round 0.94543222 to 4 decimal places.", "answer": "0.9454"}
Round 0.94543222 to 4 decimal places.
0.9454
{"question": "-123136 divided by -481", "answer": "256"}
-123136 divided by -481
256
{"question": "Suppose -2*b + 2 = -4*y, y = -4*b + 2 + 2. Let j(d) = 0 + y - 2*d**2. Let w(f) be the first derivative of 2*f**3/3 - 12. What is j(w(v))?", "answer": "-8*v**4"}
Suppose -2*b + 2 = -4*y, y = -4*b + 2 + 2. Let j(d) = 0 + y - 2*d**2. Let w(f) be the first derivative of 2*f**3/3 - 12. What is j(w(v))?
-8*v**4
{"question": "Is 1555199 prime?", "answer": "True"}
Is 1555199 prime?
True
{"question": "What is 1/4 of a microsecond in nanoseconds?", "answer": "250"}
What is 1/4 of a microsecond in nanoseconds?
250
{"question": "Simplify (sqrt(170)*3*5)/(sqrt(10) - -4*sqrt(250)).", "answer": "5*sqrt(17)/7"}
Simplify (sqrt(170)*3*5)/(sqrt(10) - -4*sqrt(250)).
5*sqrt(17)/7
{"question": "What is the highest common divisor of 3064 and 19882679?", "answer": "383"}
What is the highest common divisor of 3064 and 19882679?
383
{"question": "Express (21 + 9 - 1)*(-7 + 5 + f + 3) in the form y + d*f and give y.", "answer": "29"}
Express (21 + 9 - 1)*(-7 + 5 + f + 3) in the form y + d*f and give y.
29
{"question": "Let x(c) = 34*c + 56. Determine x(-2).", "answer": "-12"}
Let x(c) = 34*c + 56. Determine x(-2).
-12
{"question": "Let h = 0 + -1. Let t = 17 + -10. Let v = 4 - t. Which is smaller: v or h?", "answer": "v"}
Let h = 0 + -1. Let t = 17 + -10. Let v = 4 - t. Which is smaller: v or h?
v
{"question": "Solve 0 = -3*h + c - 11, h + 3*c + c + 8 = 0 for h.", "answer": "-4"}
Solve 0 = -3*h + c - 11, h + 3*c + c + 8 = 0 for h.
-4
{"question": "What are the prime factors of 69772045?", "answer": "5, 7, 137, 14551"}
What are the prime factors of 69772045?
5, 7, 137, 14551
{"question": "What is 13123.47 + 0.59?", "answer": "13124.06"}
What is 13123.47 + 0.59?
13124.06
{"question": "Is 9156882367 a prime number?", "answer": "True"}
Is 9156882367 a prime number?
True
{"question": "Calculate -79704 divided by -4.", "answer": "19926"}
Calculate -79704 divided by -4.
19926
{"question": "Find the third derivative of k**4 + 96*k**3 + 641*k**2 wrt k.", "answer": "24*k + 576"}
Find the third derivative of k**4 + 96*k**3 + 641*k**2 wrt k.
24*k + 576
{"question": "Calculate the smallest common multiple of 109446 and 5200164.", "answer": "192406068"}
Calculate the smallest common multiple of 109446 and 5200164.
192406068
{"question": "Let v = -137 - -241. What is the greatest common factor of 32 and v?", "answer": "8"}
Let v = -137 - -241. What is the greatest common factor of 32 and v?
8
{"question": "Evaluate 1 + 7 - (-13 - (21 + -27)).", "answer": "15"}
Evaluate 1 + 7 - (-13 - (21 + -27)).
15
{"question": "Let y = 96310723/6198 - 15539. Let i = y + 94514/34089. Find the common denominator of i and 14/(-8)*(-1)/(-2).", "answer": "88"}
Let y = 96310723/6198 - 15539. Let i = y + 94514/34089. Find the common denominator of i and 14/(-8)*(-1)/(-2).
88
{"question": "Suppose -2*w - w + 825 = 0. Suppose 0 = -d - 4*d + w. What is the remainder when d is divided by 19?", "answer": "17"}
Suppose -2*w - w + 825 = 0. Suppose 0 = -d - 4*d + w. What is the remainder when d is divided by 19?
17
{"question": "Let n = 2.73 - 3.03. What is the biggest value in 13, -1, 0.3, n?", "answer": "13"}
Let n = 2.73 - 3.03. What is the biggest value in 13, -1, 0.3, n?
13
{"question": "Determine z so that -z**3 - 50671*z**2 + 3144485*z - 48754413 = 0.", "answer": "-50733, 31"}
Determine z so that -z**3 - 50671*z**2 + 3144485*z - 48754413 = 0.
-50733, 31
{"question": "Factor 5*g**2 + 91410*g + 417789405.", "answer": "5*(g + 9141)**2"}
Factor 5*g**2 + 91410*g + 417789405.
5*(g + 9141)**2
{"question": "Calculate the greatest common divisor of 97419955 and 235.", "answer": "235"}
Calculate the greatest common divisor of 97419955 and 235.
235
{"question": "Is 2368457317 prime?", "answer": "True"}
Is 2368457317 prime?
True
{"question": "Let s = -77 + -91. Let u be s/(-9) + 4/(-6). What is the highest common factor of 9 and u?", "answer": "9"}
Let s = -77 + -91. Let u be s/(-9) + 4/(-6). What is the highest common factor of 9 and u?
9
{"question": "Let i(b) = -b - 1. Let s(x) = x**2 + x - 22. Let p be s(4). Let n(k) = -2*k**3 - 6*k - 6. Determine p*n(w) + 12*i(w).", "answer": "4*w**3"}
Let i(b) = -b - 1. Let s(x) = x**2 + x - 22. Let p be s(4). Let n(k) = -2*k**3 - 6*k - 6. Determine p*n(w) + 12*i(w).
4*w**3
{"question": "Solve -206*t - 271943 = -55*t - 284325 for t.", "answer": "82"}
Solve -206*t - 271943 = -55*t - 284325 for t.
82
{"question": "Suppose -h + 2*b = -2*h - 3, 3*b + 5 = -h. Let o = 5 - h. Solve w + 25 = -o*w for w.", "answer": "-5"}
Suppose -h + 2*b = -2*h - 3, 3*b + 5 = -h. Let o = 5 - h. Solve w + 25 = -o*w for w.
-5
{"question": "What is the thousands digit of 1942?", "answer": "1"}
What is the thousands digit of 1942?
1
{"question": "Let f = 26 + 231. Is f prime?", "answer": "True"}
Let f = 26 + 231. Is f prime?
True
{"question": "Let n(l) = 2*l + 4. Let u(t) = t**3 + 6*t**2 - 11*t - 24. Suppose -r - 3 = 4. Let y be u(r). Suppose 12*v = 13*v + y. Calculate n(v).", "answer": "-4"}
Let n(l) = 2*l + 4. Let u(t) = t**3 + 6*t**2 - 11*t - 24. Suppose -r - 3 = 4. Let y be u(r). Suppose 12*v = 13*v + y. Calculate n(v).
-4
{"question": "0.781576 - -3.9223", "answer": "4.703876"}
0.781576 - -3.9223
4.703876
{"question": "In base 14, what is 241b0 + 4cd?", "answer": "2469d"}
In base 14, what is 241b0 + 4cd?
2469d
{"question": "Let c = 620 - 334. What is the highest common factor of 26 and c?", "answer": "26"}
Let c = 620 - 334. What is the highest common factor of 26 and c?
26
{"question": "What is 96 minutes after 5:25 AM?", "answer": "7:01 AM"}
What is 96 minutes after 5:25 AM?
7:01 AM
{"question": "Let l(n) = -n**3 - 2*n**2 + n - 1. Let p be l(-2). Let c be 3 - p/(1*-3). Suppose -c*q + q = -26. What is the greatest common divisor of q and 65?", "answer": "13"}
Let l(n) = -n**3 - 2*n**2 + n - 1. Let p be l(-2). Let c be 3 - p/(1*-3). Suppose -c*q + q = -26. What is the greatest common divisor of q and 65?
13
{"question": "Is 4829711 composite?", "answer": "False"}
Is 4829711 composite?
False
{"question": "Simplify ((t**(1/2))**(-7/11)/(t/t**(-7)*(t*t**(-2/3))/t))/((t/((t*t**3)/t))/t*(t*t**(2/3))/t)**23 assuming t is positive.", "answer": "t**(3037/66)"}
Simplify ((t**(1/2))**(-7/11)/(t/t**(-7)*(t*t**(-2/3))/t))/((t/((t*t**3)/t))/t*(t*t**(2/3))/t)**23 assuming t is positive.
t**(3037/66)
{"question": "What is the nearest to -10 in 2.06, -4, -238, 0?", "answer": "-4"}
What is the nearest to -10 in 2.06, -4, -238, 0?
-4
{"question": "What is one fifth of a kilometer in centimeters?", "answer": "20000"}
What is one fifth of a kilometer in centimeters?
20000
{"question": "Differentiate -26*b**3*f**3 + 395*b**3*s + 2*f**3*s + f**3 - f wrt s.", "answer": "395*b**3 + 2*f**3"}
Differentiate -26*b**3*f**3 + 395*b**3*s + 2*f**3*s + f**3 - f wrt s.
395*b**3 + 2*f**3
{"question": "Solve 114*s - g - 3*g - 170 = 0, -3*g = 973*s - 968*s + 37 for s.", "answer": "1"}
Solve 114*s - g - 3*g - 170 = 0, -3*g = 973*s - 968*s + 37 for s.
1
{"question": "Which is smaller: -1/7 or -3?", "answer": "-3"}
Which is smaller: -1/7 or -3?
-3
{"question": "Three letters picked without replacement from {g: 1, a: 3, o: 1, p: 2, w: 6}. What is prob of sequence oaw?", "answer": "3/286"}
Three letters picked without replacement from {g: 1, a: 3, o: 1, p: 2, w: 6}. What is prob of sequence oaw?
3/286
{"question": "Suppose 3*q - 730 = 5*p, p = -q - 2*p + 262. Let m = 3247/13 - q. Let k = 45 - 45. Which is smaller: k or m?", "answer": "m"}
Suppose 3*q - 730 = 5*p, p = -q - 2*p + 262. Let m = 3247/13 - q. Let k = 45 - 45. Which is smaller: k or m?
m
{"question": "Let a be 27/108*87*9/(-39). Which is bigger: -6 or a?", "answer": "a"}
Let a be 27/108*87*9/(-39). Which is bigger: -6 or a?
a
{"question": "Let i = -9.5594 + 1.5404. What is i rounded to 1 dp?", "answer": "-8"}
Let i = -9.5594 + 1.5404. What is i rounded to 1 dp?
-8
{"question": "Rearrange -123 + 65 + 7298*m + 58 + 21728*m to the form v + z*m and give z.", "answer": "29026"}
Rearrange -123 + 65 + 7298*m + 58 + 21728*m to the form v + z*m and give z.
29026
{"question": "Which is bigger: -703 or 66?", "answer": "66"}
Which is bigger: -703 or 66?
66