Datasets:
mlfoundations-dev
/
a1_math_mathcoder

Dataset card Data Studio Files
xet
 Community
text
stringlengths
36
215
instruction_seed
stringlengths
5
160
response_seed
stringlengths
1
30
{"question": "Let o = -12 + 14. Let f = 0 + o. Let h(g) = -g - 8. Let x be h(-8). Which is the nearest to f? (a) 1 (b) x (c) 0.5", "answer": "a"}
Let o = -12 + 14. Let f = 0 + o. Let h(g) = -g - 8. Let x be h(-8). Which is the nearest to f? (a) 1 (b) x (c) 0.5
a
{"question": "Put 3, 214, -1, -4, 1 in ascending order.", "answer": "-4, -1, 1, 3, 214"}
Put 3, 214, -1, -4, 1 in ascending order.
-4, -1, 1, 3, 214
{"question": "Round -0.000037072027 to six dps.", "answer": "-0.000037"}
Round -0.000037072027 to six dps.
-0.000037
{"question": "Let w(y) = -y**3 + y**2. Let p(q) = 7*q**3 - 10*q**2 - 16*q + 13. Let d(t) = p(t) + 6*w(t). What are the prime factors of d(10)?", "answer": "3, 151"}
Let w(y) = -y**3 + y**2. Let p(q) = 7*q**3 - 10*q**2 - 16*q + 13. Let d(t) = p(t) + 6*w(t). What are the prime factors of d(10)?
3, 151
{"question": "Let d be -10*9/(135/(-6)). Suppose d*a = 9 - 13. Let i(m) = -m**3 + 3*m**2 + 3*m. Let w be i(4). Which is greater: a or w?", "answer": "a"}
Let d be -10*9/(135/(-6)). Suppose d*a = 9 - 13. Let i(m) = -m**3 + 3*m**2 + 3*m. Let w be i(4). Which is greater: a or w?
a
{"question": "Let g = 124 - 198. Let d = 71 + g. Which is the nearest to 0? (a) -6 (b) d (c) -2", "answer": "c"}
Let g = 124 - 198. Let d = 71 + g. Which is the nearest to 0? (a) -6 (b) d (c) -2
c
{"question": "What are the prime factors of 388530766?", "answer": "2, 13, 23, 649717"}
What are the prime factors of 388530766?
2, 13, 23, 649717
{"question": "What is the value of ((-23)/(-207))/((-1)/63)?", "answer": "-7"}
What is the value of ((-23)/(-207))/((-1)/63)?
-7
{"question": "Which is greater: 1/3 or -127279/3?", "answer": "1/3"}
Which is greater: 1/3 or -127279/3?
1/3
{"question": "What is the millions digit of 9569825?", "answer": "9"}
What is the millions digit of 9569825?
9
{"question": "Suppose 6*v + 10 = 3*v - 2*g, 0 = -2*v + 4*g + 20. Let n = 5 - v. Suppose a - 6 = -2*a - n*k, k = -2*a - 3. Do a and -3 have the same value?", "answer": "True"}
Suppose 6*v + 10 = 3*v - 2*g, 0 = -2*v + 4*g + 20. Let n = 5 - v. Suppose a - 6 = -2*a - n*k, k = -2*a - 3. Do a and -3 have the same value?
True
{"question": "Calculate the remainder when 108925 is divided by 2709.", "answer": "565"}
Calculate the remainder when 108925 is divided by 2709.
565
{"question": "Let m = 6159.9 - 6159. What is the closest to -4 in 2/17, 4, -0.1, m?", "answer": "-0.1"}
Let m = 6159.9 - 6159. What is the closest to -4 in 2/17, 4, -0.1, m?
-0.1
{"question": "Calculate the remainder when 2132293 is divided by 55.", "answer": "53"}
Calculate the remainder when 2132293 is divided by 55.
53
{"question": "Let p(u) = u**3 + 6*u**2 - 8*u - 8. Let h(g) = -2*g + 8. Let a be h(8). Let b be p(a). List the prime factors of (19/(-4))/(6/b).", "answer": "3, 19"}
Let p(u) = u**3 + 6*u**2 - 8*u - 8. Let h(g) = -2*g + 8. Let a be h(8). Let b be p(a). List the prime factors of (19/(-4))/(6/b).
3, 19
{"question": "Suppose y = -43 + 62. Let u = -297 + 362. Calculate the remainder when u is divided by y.", "answer": "8"}
Suppose y = -43 + 62. Let u = -297 + 362. Calculate the remainder when u is divided by y.
8
{"question": "Is -0.6 >= -0.456195?", "answer": "False"}
Is -0.6 >= -0.456195?
False
{"question": "Let z = -9959.95 - -9962.899922. Let f = z - 2.95. What is f rounded to 6 decimal places?", "answer": "-0.000078"}
Let z = -9959.95 - -9962.899922. Let f = z - 2.95. What is f rounded to 6 decimal places?
-0.000078
{"question": "Solve k**4/6 + 2095*k**3/6 - 1036469*k**2/3 + 216909226*k/3 - 213809260 = 0 for k.", "answer": "-2870, 3, 386"}
Solve k**4/6 + 2095*k**3/6 - 1036469*k**2/3 + 216909226*k/3 - 213809260 = 0 for k.
-2870, 3, 386
{"question": "What comes next: -32958, -65246, -97534?", "answer": "-129822"}
What comes next: -32958, -65246, -97534?
-129822
{"question": "Suppose -36 = 2*j - 8. Suppose 5*b = -25, -7*l = -3*l + b + 61. Is j >= l?", "answer": "True"}
Suppose -36 = 2*j - 8. Suppose 5*b = -25, -7*l = -3*l + b + 61. Is j >= l?
True
{"question": "What is the next term in 456, 813, 1170?", "answer": "1527"}
What is the next term in 456, 813, 1170?
1527
{"question": "Express -1732 - 75 + 1328*c + 120 - 1330*c as s + l*c and give l.", "answer": "-2"}
Express -1732 - 75 + 1328*c + 120 - 1330*c as s + l*c and give l.
-2
{"question": "Let k be (-2)/(-1 - (-6)/5). Let z be (0 - k)*-250*1680. Round z to the nearest one million.", "answer": "-4000000"}
Let k be (-2)/(-1 - (-6)/5). Let z be (0 - k)*-250*1680. Round z to the nearest one million.
-4000000
{"question": "Convert 126 (base 15) to base 13.", "answer": "171"}
Convert 126 (base 15) to base 13.
171
{"question": "What is the closest to -2 in 1, -2, -0.06?", "answer": "-2"}
What is the closest to -2 in 1, -2, -0.06?
-2
{"question": "-548 divided by 6", "answer": "-274/3"}
-548 divided by 6
-274/3
{"question": "Simplify ((sqrt(30) + sqrt(30) + sqrt(120)/sqrt(4))*-2)/(1*sqrt(250) + sqrt(250) + sqrt(250)).", "answer": "-2*sqrt(3)/5"}
Simplify ((sqrt(30) + sqrt(30) + sqrt(120)/sqrt(4))*-2)/(1*sqrt(250) + sqrt(250) + sqrt(250)).
-2*sqrt(3)/5
{"question": "What is the units digit of 864?", "answer": "4"}
What is the units digit of 864?
4
{"question": "Let m be (926*1/(-6))/(7/(-42)). Let o = m - 301. Is o a multiple of 25?", "answer": "True"}
Let m be (926*1/(-6))/(7/(-42)). Let o = m - 301. Is o a multiple of 25?
True
{"question": "What is the common denominator of -149/661032 and -45/352?", "answer": "29085408"}
What is the common denominator of -149/661032 and -45/352?
29085408
{"question": "Evaluate (-12 - -9)/(0 + 7).", "answer": "-3/7"}
Evaluate (-12 - -9)/(0 + 7).
-3/7
{"question": "What is the difference between 179423 and 2275.572711?", "answer": "177147.427289"}
What is the difference between 179423 and 2275.572711?
177147.427289
{"question": "What is the next term in 231, 1378, 4561, 10902, 21523, 37546, 60093, 90286?", "answer": "129247"}
What is the next term in 231, 1378, 4561, 10902, 21523, 37546, 60093, 90286?
129247
{"question": "What is 256542 (base 14) in base 11?", "answer": "7a8681"}
What is 256542 (base 14) in base 11?
7a8681
{"question": "Two letters picked without replacement from mmmmmmmmmmmmmmmmbm. What is prob of picking 1 m and 1 b?", "answer": "1/9"}
Two letters picked without replacement from mmmmmmmmmmmmmmmmbm. What is prob of picking 1 m and 1 b?
1/9
{"question": "What is 5148.504 rounded to the nearest 10?", "answer": "5150"}
What is 5148.504 rounded to the nearest 10?
5150
{"question": "Let l(v) = v**3 - 5*v + 4. What is l(2)?", "answer": "2"}
Let l(v) = v**3 - 5*v + 4. What is l(2)?
2
{"question": "Let b(g) = 1. Let z(t) = 2*t + 6. Let d(o) = 6*b(o) - z(o). Let q(f) = 14*f**2. Determine q(d(n)).", "answer": "56*n**2"}
Let b(g) = 1. Let z(t) = 2*t + 6. Let d(o) = 6*b(o) - z(o). Let q(f) = 14*f**2. Determine q(d(n)).
56*n**2
{"question": "Simplify -4 + ((sqrt(28)/sqrt(4))**2 - sqrt(7)) + sqrt(7) + sqrt(448)*4 + -1*((sqrt(7) - -3*sqrt(567))*2)**2.", "answer": "-21949 + 32*sqrt(7)"}
Simplify -4 + ((sqrt(28)/sqrt(4))**2 - sqrt(7)) + sqrt(7) + sqrt(448)*4 + -1*((sqrt(7) - -3*sqrt(567))*2)**2.
-21949 + 32*sqrt(7)
{"question": "Solve 460 + 246 = -46*c - 490 for c.", "answer": "-26"}
Solve 460 + 246 = -46*c - 490 for c.
-26
{"question": "What is the second derivative of 6*d**4*k - 4*d**4 + 3*d**3*k - 27*d*k - d wrt d?", "answer": "72*d**2*k - 48*d**2 + 18*d*k"}
What is the second derivative of 6*d**4*k - 4*d**4 + 3*d**3*k - 27*d*k - d wrt d?
72*d**2*k - 48*d**2 + 18*d*k
{"question": "Solve -172*o - 41*o - 6166 + 16227 = -14434 for o.", "answer": "115"}
Solve -172*o - 41*o - 6166 + 16227 = -14434 for o.
115
{"question": "Suppose -3*h + 2*h - 2*t = 275, h = 3*t - 270. Let s = -423 - h. Let o = -68 - s. What are the prime factors of o?", "answer": "2, 41"}
Suppose -3*h + 2*h - 2*t = 275, h = 3*t - 270. Let s = -423 - h. Let o = -68 - s. What are the prime factors of o?
2, 41
{"question": "Four letters picked without replacement from {h: 3, l: 2}. What is prob of sequence lhlh?", "answer": "1/10"}
Four letters picked without replacement from {h: 3, l: 2}. What is prob of sequence lhlh?
1/10
{"question": "Convert 57658.24mm to meters.", "answer": "57.65824"}
Convert 57658.24mm to meters.
57.65824
{"question": "What is 80709 to the power of 1/2, to the nearest integer?", "answer": "284"}
What is 80709 to the power of 1/2, to the nearest integer?
284
{"question": "Let p be ((-16)/(-6))/(2/3). Suppose p*d = -2*a + 52, d + 4*a = 4*d - 17. What is the remainder when (-2)/4 - (-41)/2 is divided by d?", "answer": "9"}
Let p be ((-16)/(-6))/(2/3). Suppose p*d = -2*a + 52, d + 4*a = 4*d - 17. What is the remainder when (-2)/4 - (-41)/2 is divided by d?
9
{"question": "Let t be 22/8 + (-12)/(-48)*-12. Let y = -12 - -8. What is the nearest to 0 in y, t, 0.1?", "answer": "0.1"}
Let t be 22/8 + (-12)/(-48)*-12. Let y = -12 - -8. What is the nearest to 0 in y, t, 0.1?
0.1
{"question": "Suppose n + 1 - 7 = 0. Let q = -4 + n. Suppose 27 = 5*p - q*p. What is the remainder when 16 is divided by p?", "answer": "7"}
Suppose n + 1 - 7 = 0. Let q = -4 + n. Suppose 27 = 5*p - q*p. What is the remainder when 16 is divided by p?
7
{"question": "Rearrange -19*t - 97*t**3 + 19*t + (0*t**3 + t**3 + t**3)*(2 + 0 + 7) to w*t**3 + j*t + o + x*t**2 and give w.", "answer": "-79"}
Rearrange -19*t - 97*t**3 + 19*t + (0*t**3 + t**3 + t**3)*(2 + 0 + 7) to w*t**3 + j*t + o + x*t**2 and give w.
-79
{"question": "Let t = -91 - -289/3. What is the common denominator of -71/8 and t?", "answer": "24"}
Let t = -91 - -289/3. What is the common denominator of -71/8 and t?
24
{"question": "What is the next term in -440753, -881496, -1322239, -1762982?", "answer": "-2203725"}
What is the next term in -440753, -881496, -1322239, -1762982?
-2203725
{"question": "Let p(i) = -8*i**2 + 33*i + 13. Let y(l) = 3*l**2 - 11*l - 4. Let k(u) = 4*p(u) + 11*y(u). Give k(-11).", "answer": "8"}
Let p(i) = -8*i**2 + 33*i + 13. Let y(l) = 3*l**2 - 11*l - 4. Let k(u) = 4*p(u) + 11*y(u). Give k(-11).
8
{"question": "Evaluate -2*(-9)/(-24)*4.", "answer": "-3"}
Evaluate -2*(-9)/(-24)*4.
-3
{"question": "Let x(o) = o**3 - o**2 - 5*o + 2. Suppose -t - 4*y = -2, -4*t + 23 = 2*y - y. Suppose -2*z + 4*z = t. Let v be x(z). Solve g = 4*m - 6 - 7, 5*m = -g + v for g.", "answer": "-5"}
Let x(o) = o**3 - o**2 - 5*o + 2. Suppose -t - 4*y = -2, -4*t + 23 = 2*y - y. Suppose -2*z + 4*z = t. Let v be x(z). Solve g = 4*m - 6 - 7, 5*m = -g + v for g.
-5
{"question": "Convert -1105421 (base 7) to base 13.", "answer": "-4a0cc"}
Convert -1105421 (base 7) to base 13.
-4a0cc
{"question": "Solve 65561*b - 117 = 65570*b for b.", "answer": "-13"}
Solve 65561*b - 117 = 65570*b for b.
-13
{"question": "What is the tens digit of 95561?", "answer": "6"}
What is the tens digit of 95561?
6
{"question": "Let x(k) = -3*k - k**2 - 3*k**2 + 5*k**2. Let b be x(4). Solve 4*g - b + 29 = 3*d, 2*d + 2 = -2*g for g.", "answer": "-4"}
Let x(k) = -3*k - k**2 - 3*k**2 + 5*k**2. Let b be x(4). Solve 4*g - b + 29 = 3*d, 2*d + 2 = -2*g for g.
-4
{"question": "What is 150002177 to the power of 1/3, to the nearest integer?", "answer": "531"}
What is 150002177 to the power of 1/3, to the nearest integer?
531
{"question": "Let v(n) = -n**2 + 2*n - 1. Let k be v(-2). Let j = k + 11. Is 2 a factor of j?", "answer": "True"}
Let v(n) = -n**2 + 2*n - 1. Let k be v(-2). Let j = k + 11. Is 2 a factor of j?
True
{"question": "Simplify ((k**(-6/17)*k**17)/(k/(k*k*k**(-26)/k)*k*k**(-2/73)))**(-2/11) assuming k is positive.", "answer": "k**(25628/13651)"}
Simplify ((k**(-6/17)*k**17)/(k/(k*k*k**(-26)/k)*k*k**(-2/73)))**(-2/11) assuming k is positive.
k**(25628/13651)
{"question": "Does 23 divide 80?", "answer": "False"}
Does 23 divide 80?
False
{"question": "What is next in 26, 119, 354, 797, 1514, 2571?", "answer": "4034"}
What is next in 26, 119, 354, 797, 1514, 2571?
4034
{"question": "Calculate prob of sequence wh when two letters picked without replacement from bwxhhbwbjwww.", "answer": "5/66"}
Calculate prob of sequence wh when two letters picked without replacement from bwxhhbwbjwww.
5/66
{"question": "What is next in 84, 318, 694, 1206, 1848, 2614, 3498?", "answer": "4494"}
What is next in 84, 318, 694, 1206, 1848, 2614, 3498?
4494
{"question": "What is 1165493 to the power of 1/2, to the nearest integer?", "answer": "1080"}
What is 1165493 to the power of 1/2, to the nearest integer?
1080
{"question": "Suppose 0*n + 8*n + 16 = 0. Put -1, 1, -8, n in descending order.", "answer": "1, -1, n, -8"}
Suppose 0*n + 8*n + 16 = 0. Put -1, 1, -8, n in descending order.
1, -1, n, -8
{"question": "Let f(x) be the first derivative of 8*x**3/3 + x**2 + 7*x + 8767. Give f(-2).", "answer": "35"}
Let f(x) be the first derivative of 8*x**3/3 + x**2 + 7*x + 8767. Give f(-2).
35
{"question": "Let p(f) be the third derivative of 41/3*f**3 - 1/40*f**6 - 1/30*f**5 + 0*f - 101*f**2 + 0 + 0*f**4. Differentiate p(c) wrt c.", "answer": "-9*c**2 - 4*c"}
Let p(f) be the third derivative of 41/3*f**3 - 1/40*f**6 - 1/30*f**5 + 0*f - 101*f**2 + 0 + 0*f**4. Differentiate p(c) wrt c.
-9*c**2 - 4*c
{"question": "Does 9 divide 482059129?", "answer": "False"}
Does 9 divide 482059129?
False
{"question": "What is 27/(-243)*4/2?", "answer": "-2/9"}
What is 27/(-243)*4/2?
-2/9
{"question": "Let x(n) = -6*n**3 + 40*n + 2*n**2 - 70*n + 29*n + 29*n**3. Suppose 9 = -0*h - 3*h - 4*q, -5*h + 11 = -2*q. What is x(h)?", "answer": "24"}
Let x(n) = -6*n**3 + 40*n + 2*n**2 - 70*n + 29*n + 29*n**3. Suppose 9 = -0*h - 3*h - 4*q, -5*h + 11 = -2*q. What is x(h)?
24
{"question": "What is the millions digit of 25457662?", "answer": "5"}
What is the millions digit of 25457662?
5
{"question": "Let q = 5.75 - 6.25. Let f = 5.03 - 0.03. What is the nearest to -0.2 in -4, q, f?", "answer": "q"}
Let q = 5.75 - 6.25. Let f = 5.03 - 0.03. What is the nearest to -0.2 in -4, q, f?
q
{"question": "Let p(s) be the first derivative of -s**4/4 + 5*s**3/3 + 4*s**2 - 7*s - 6. Give p(6).", "answer": "5"}
Let p(s) be the first derivative of -s**4/4 + 5*s**3/3 + 4*s**2 - 7*s - 6. Give p(6).
5
{"question": "Collect the terms in -46*i - 59*i + 4 + 33*i + 0 - 38*i.", "answer": "-110*i + 4"}
Collect the terms in -46*i - 59*i + 4 + 33*i + 0 - 38*i.
-110*i + 4
{"question": "What is the y'th term of 1, -12, -39, -80, -135, -204?", "answer": "-7*y**2 + 8*y"}
What is the y'th term of 1, -12, -39, -80, -135, -204?
-7*y**2 + 8*y
{"question": "Let b = -21412/15 + 1429. Let l = -6/5 + b. Let z = 2.6 - 3. Sort l, 0, z.", "answer": "z, 0, l"}
Let b = -21412/15 + 1429. Let l = -6/5 + b. Let z = 2.6 - 3. Sort l, 0, z.
z, 0, l
{"question": "Let s = -7385 - -39065. Does 22 divide s?", "answer": "True"}
Let s = -7385 - -39065. Does 22 divide s?
True
{"question": "What is the smallest common multiple of 8960 and 11200?", "answer": "44800"}
What is the smallest common multiple of 8960 and 11200?
44800
{"question": "What is 32403131 (base 5) in base 8?", "answer": "1040015"}
What is 32403131 (base 5) in base 8?
1040015
{"question": "Evaluate 12/(-90)*30/(-24)*(-5 + 2).", "answer": "-1/2"}
Evaluate 12/(-90)*30/(-24)*(-5 + 2).
-1/2
{"question": "Let i(c) = 1403*c**3 - 15*c + 5. Let k(s) = -787083*s**3 + 8418*s - 2806. Calculate -2806*i(h) - 5*k(h).", "answer": "-1403*h**3"}
Let i(c) = 1403*c**3 - 15*c + 5. Let k(s) = -787083*s**3 + 8418*s - 2806. Calculate -2806*i(h) - 5*k(h).
-1403*h**3
{"question": "In base 16, what is -5 + 39?", "answer": "34"}
In base 16, what is -5 + 39?
34
{"question": "Suppose -6*h + 5*k = -3*h - 19, -9 = -5*h - 3*k. Suppose -h*d + 6*d = 0. Suppose d*u = 3*u - 105. Is u a composite number?", "answer": "True"}
Suppose -6*h + 5*k = -3*h - 19, -9 = -5*h - 3*k. Suppose -h*d + 6*d = 0. Suppose d*u = 3*u - 105. Is u a composite number?
True
{"question": "(-1157 - -1060) + 8 + 3", "answer": "-86"}
(-1157 - -1060) + 8 + 3
-86
{"question": "What is -45 - (-5 + -18) - (21 - 34) - (1 - 36)?", "answer": "26"}
What is -45 - (-5 + -18) - (21 - 34) - (1 - 36)?
26
{"question": "Calculate the highest common factor of 85 and 102.", "answer": "17"}
Calculate the highest common factor of 85 and 102.
17
{"question": "8d (base 14) to base 9", "answer": "148"}
8d (base 14) to base 9
148
{"question": "Let c(g) = -4*g**3 - 7*g**2 - 4*g + 3. Let j = -20 + 30. Suppose -5*q - 10 - j = 0. Is c(q) prime?", "answer": "True"}
Let c(g) = -4*g**3 - 7*g**2 - 4*g + 3. Let j = -20 + 30. Suppose -5*q - 10 - j = 0. Is c(q) prime?
True
{"question": "Let f = -367.8 + 422. Let p = f + -55. Which is the nearest to 0? (a) -3 (b) p (c) 3/5", "answer": "c"}
Let f = -367.8 + 422. Let p = f + -55. Which is the nearest to 0? (a) -3 (b) p (c) 3/5
c
{"question": "What is the cube root of 41337480 to the nearest integer?", "answer": "346"}
What is the cube root of 41337480 to the nearest integer?
346
{"question": "Find the second derivative of 98*s**2*x**2 + 1236*s**2*x + x**2 wrt x.", "answer": "196*s**2 + 2"}
Find the second derivative of 98*s**2*x**2 + 1236*s**2*x + x**2 wrt x.
196*s**2 + 2
{"question": "Collect the terms in -18*x + 2 + 5*x - 2.", "answer": "-13*x"}
Collect the terms in -18*x + 2 + 5*x - 2.
-13*x
{"question": "Let s = -21516.6 + 21517. What is the second smallest value in s, -5, -173, 1, 0?", "answer": "-5"}
Let s = -21516.6 + 21517. What is the second smallest value in s, -5, -173, 1, 0?
-5
{"question": "Let r = 1039 - 176. Round r to the nearest one thousand.", "answer": "1000"}
Let r = 1039 - 176. Round r to the nearest one thousand.
1000
{"question": "Add together -0.801086049 and 0.113.", "answer": "-0.688086049"}
Add together -0.801086049 and 0.113.
-0.688086049
{"question": "Let o = 56 - 24. Suppose -5*m + 80 = 4*b, 0*b = 2*m + 2*b - o. Suppose 5*f + 0*f - 60 = 0. What is the lowest common multiple of m and f?", "answer": "48"}
Let o = 56 - 24. Suppose -5*m + 80 = 4*b, 0*b = 2*m + 2*b - o. Suppose 5*f + 0*f - 60 = 0. What is the lowest common multiple of m and f?
48