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 t(g) = -g**2 - 4*g. Let v = 52 - 39. Let i = -16 + v. Calculate t(i).", "answer": "3"}
Let t(g) = -g**2 - 4*g. Let v = 52 - 39. Let i = -16 + v. Calculate t(i).
3
{"question": "In base 3, what is 11 - -120?", "answer": "201"}
In base 3, what is 11 - -120?
201
{"question": "Suppose 0 = -0*m - 2*m - 36. Let x be 62/14 - m/(-42). Solve -1 = 5*q + x for q.", "answer": "-1"}
Suppose 0 = -0*m - 2*m - 36. Let x be 62/14 - m/(-42). Solve -1 = 5*q + x for q.
-1
{"question": "Let p = 4 - 8. Let i = 3.49 - 2.59. What is the nearest to 1 in i, 4, p?", "answer": "i"}
Let p = 4 - 8. Let i = 3.49 - 2.59. What is the nearest to 1 in i, 4, p?
i
{"question": "Simplify ((-2*-5*sqrt(114))/sqrt(6) + -3*sqrt(209)/sqrt(11) + 5)**2.", "answer": "70*sqrt(19) + 956"}
Simplify ((-2*-5*sqrt(114))/sqrt(6) + -3*sqrt(209)/sqrt(11) + 5)**2.
70*sqrt(19) + 956
{"question": "What is -1 (base 6) in base 4?", "answer": "-1"}
What is -1 (base 6) in base 4?
-1
{"question": "Calculate -11 - -16 - (-8 + 8 - -40).", "answer": "-35"}
Calculate -11 - -16 - (-8 + 8 - -40).
-35
{"question": "Two letters picked without replacement from mcucmcubebec. What is prob of sequence uc?", "answer": "2/33"}
Two letters picked without replacement from mcucmcubebec. What is prob of sequence uc?
2/33
{"question": "Suppose -265533 = -24*k + 102987. What is the highest common divisor of 185 and k?", "answer": "185"}
Suppose -265533 = -24*k + 102987. What is the highest common divisor of 185 and k?
185
{"question": "Solve 1211*h = -81177 + 98131 for h.", "answer": "14"}
Solve 1211*h = -81177 + 98131 for h.
14
{"question": "Let b(r) be the second derivative of r**4/12 - 5*r**3/6 + 2*r**2 - r. Let h be b(5). Let u be -1 + 132 + h/2. Calculate the greatest common factor of u and 19.", "answer": "19"}
Let b(r) be the second derivative of r**4/12 - 5*r**3/6 + 2*r**2 - r. Let h be b(5). Let u be -1 + 132 + h/2. Calculate the greatest common factor of u and 19.
19
{"question": "Solve 12 = -209*x + 211*x for x.", "answer": "6"}
Solve 12 = -209*x + 211*x for x.
6
{"question": "What is the nearest to 0.3 in -0.3, 5.1, -1?", "answer": "-0.3"}
What is the nearest to 0.3 in -0.3, 5.1, -1?
-0.3
{"question": "What is the tens digit of 257761?", "answer": "6"}
What is the tens digit of 257761?
6
{"question": "Suppose 444*l + 1408 = 455*l. What is the greatest common divisor of 928 and l?", "answer": "32"}
Suppose 444*l + 1408 = 455*l. What is the greatest common divisor of 928 and l?
32
{"question": "Let r = 8.91 + -73.81. Let o = r - -65. What is the third smallest value in 0, o, -5?", "answer": "o"}
Let r = 8.91 + -73.81. Let o = r - -65. What is the third smallest value in 0, o, -5?
o
{"question": "Let c = 21 + -12. Suppose 4*m + c = 1. Let u(s) = -4*s**3 + 2*s - 2. Let t(i) = 0*i**3 + 3 + 3*i**3 + 2*i**3 - 3*i. What is m*t(k) - 3*u(k)?", "answer": "2*k**3"}
Let c = 21 + -12. Suppose 4*m + c = 1. Let u(s) = -4*s**3 + 2*s - 2. Let t(i) = 0*i**3 + 3 + 3*i**3 + 2*i**3 - 3*i. What is m*t(k) - 3*u(k)?
2*k**3
{"question": "What is 8 - -1 - (-2 - -6)?", "answer": "5"}
What is 8 - -1 - (-2 - -6)?
5
{"question": "Is -2/167 >= -281/6?", "answer": "True"}
Is -2/167 >= -281/6?
True
{"question": "Let y = -7 + 7.1. Suppose 3 = -r + 8. Suppose -6*x + 11*x = -2*u + 6, r*u = -2*x + 15. What is the nearest to -2 in x, y, 5?", "answer": "x"}
Let y = -7 + 7.1. Suppose 3 = -r + 8. Suppose -6*x + 11*x = -2*u + 6, r*u = -2*x + 15. What is the nearest to -2 in x, y, 5?
x
{"question": "Divide 2311909 by 5.", "answer": "2311909/5"}
Divide 2311909 by 5.
2311909/5
{"question": "Suppose -96 = -9*b + 3*b. Calculate the common denominator of 59/9 and 17/4*b/(-52).", "answer": "117"}
Suppose -96 = -9*b + 3*b. Calculate the common denominator of 59/9 and 17/4*b/(-52).
117
{"question": "In base 8, what is -712 - 4?", "answer": "-716"}
In base 8, what is -712 - 4?
-716
{"question": "Let y(b) = b + 9. Let r be 18/(-5) + (-8)/20. Let w be y(r). Suppose w*h - 7 + 27 = 0, 4*h = l - 72. What is the highest common divisor of l and 7?", "answer": "7"}
Let y(b) = b + 9. Let r be 18/(-5) + (-8)/20. Let w be y(r). Suppose w*h - 7 + 27 = 0, 4*h = l - 72. What is the highest common divisor of l and 7?
7
{"question": "Let c(n) = -n**3 + 170*n**2 + 275*n + 37. Is c(81) prime?", "answer": "True"}
Let c(n) = -n**3 + 170*n**2 + 275*n + 37. Is c(81) prime?
True
{"question": "Two letters picked without replacement from {o: 2, c: 4, e: 8, f: 2}. Give prob of picking 1 c and 1 o.", "answer": "1/15"}
Two letters picked without replacement from {o: 2, c: 4, e: 8, f: 2}. Give prob of picking 1 c and 1 o.
1/15
{"question": "List the prime factors of 2781769.", "answer": "907, 3067"}
List the prime factors of 2781769.
907, 3067
{"question": "Let m = 1417/11 - 129. What is the second smallest value in -3/2, 1.5, m, 4/7?", "answer": "m"}
Let m = 1417/11 - 129. What is the second smallest value in -3/2, 1.5, m, 4/7?
m
{"question": "What is the units digit of 875398936?", "answer": "6"}
What is the units digit of 875398936?
6
{"question": "Let i(u) = -10*u - 6*u + 3 - 4 + 17*u. What is i(-1)?", "answer": "-2"}
Let i(u) = -10*u - 6*u + 3 - 4 + 17*u. What is i(-1)?
-2
{"question": "Let l be ((-2)/(24/9))/(2/181). Let h = 68 + l. Let i = 2.3 + 2.7. What is the second biggest value in h, i, 2/17, 3?", "answer": "3"}
Let l be ((-2)/(24/9))/(2/181). Let h = 68 + l. Let i = 2.3 + 2.7. What is the second biggest value in h, i, 2/17, 3?
3
{"question": "What is the fourth root of 1085040364 to the nearest integer?", "answer": "181"}
What is the fourth root of 1085040364 to the nearest integer?
181
{"question": "Let i be (-4 - -7) + -5 + (2 - 1). Are i and 0.013 unequal?", "answer": "True"}
Let i be (-4 - -7) + -5 + (2 - 1). Are i and 0.013 unequal?
True
{"question": "Round 0.00005212563 to 6 dps.", "answer": "0.000052"}
Round 0.00005212563 to 6 dps.
0.000052
{"question": "3 (base 13) to base 3", "answer": "10"}
3 (base 13) to base 3
10
{"question": "Simplify n*n**11*n**29/n assuming n is positive.", "answer": "n**40"}
Simplify n*n**11*n**29/n assuming n is positive.
n**40
{"question": "What is next in -65, -64, -63, -62, -61, -60?", "answer": "-59"}
What is next in -65, -64, -63, -62, -61, -60?
-59
{"question": "Factor m**3 - 19322*m**2 + 19321*m.", "answer": "m*(m - 19321)*(m - 1)"}
Factor m**3 - 19322*m**2 + 19321*m.
m*(m - 19321)*(m - 1)
{"question": "Let l be ((0/2)/2)/2. Let a be 4 + (l - 3) - 11. Let p = a + 20. Is 6 a factor of p?", "answer": "False"}
Let l be ((0/2)/2)/2. Let a be 4 + (l - 3) - 11. Let p = a + 20. Is 6 a factor of p?
False
{"question": "Solve -38*v + 122 = -220 for v.", "answer": "9"}
Solve -38*v + 122 = -220 for v.
9
{"question": "Solve -4*d + 7 = 5*i, -4 = d - 4*i - 11 for d.", "answer": "3"}
Solve -4*d + 7 = 5*i, -4 = d - 4*i - 11 for d.
3
{"question": "Collect the terms in 19*a**3 - 10*a**2 - 24*a**3 + a**2 + 9*a**2.", "answer": "-5*a**3"}
Collect the terms in 19*a**3 - 10*a**2 - 24*a**3 + a**2 + 9*a**2.
-5*a**3
{"question": "What is the hundreds digit of 1827340803?", "answer": "8"}
What is the hundreds digit of 1827340803?
8
{"question": "Calculate prob of picking 3 a when three letters picked without replacement from {o: 1, a: 3, v: 1}.", "answer": "1/10"}
Calculate prob of picking 3 a when three letters picked without replacement from {o: 1, a: 3, v: 1}.
1/10
{"question": "In base 14, what is -76 + 0?", "answer": "-76"}
In base 14, what is -76 + 0?
-76
{"question": "Let j be 630/12*(9/3 - -1). List the prime factors of 54285/j - (5/(-2))/(-1).", "answer": "2"}
Let j be 630/12*(9/3 - -1). List the prime factors of 54285/j - (5/(-2))/(-1).
2
{"question": "Collect the terms in -9*n + 9*n - 28*n**2 + 11 - 466*n**3 + 158*n**3.", "answer": "-308*n**3 - 28*n**2 + 11"}
Collect the terms in -9*n + 9*n - 28*n**2 + 11 - 466*n**3 + 158*n**3.
-308*n**3 - 28*n**2 + 11
{"question": "Collect the terms in -38 - 36336596*r**2 + 38.", "answer": "-36336596*r**2"}
Collect the terms in -38 - 36336596*r**2 + 38.
-36336596*r**2
{"question": "Let d(w) = 42*w**2 + 62*w + 443. List the prime factors of d(-11).", "answer": "29, 167"}
Let d(w) = 42*w**2 + 62*w + 443. List the prime factors of d(-11).
29, 167
{"question": "What is the c'th term of 15309, 15310, 15311, 15312?", "answer": "c + 15308"}
What is the c'th term of 15309, 15310, 15311, 15312?
c + 15308
{"question": "Let p(i) = 443*i**2 - 4. Let l(s) = 221*s**2 - 2. Let u(n) = 5*l(n) - 2*p(n). What are the prime factors of u(-1)?", "answer": "7, 31"}
Let p(i) = 443*i**2 - 4. Let l(s) = 221*s**2 - 2. Let u(n) = 5*l(n) - 2*p(n). What are the prime factors of u(-1)?
7, 31
{"question": "Let c = 77.923 - 78. Let v = c - 0.035. Let i = 2.968 - v. What is i rounded to 1 decimal place?", "answer": "3.1"}
Let c = 77.923 - 78. Let v = c - 0.035. Let i = 2.968 - v. What is i rounded to 1 decimal place?
3.1
{"question": "Suppose -100*f**3 - 2040*f**2 - 804*f - 80 = 0. Calculate f.", "answer": "-20, -1/5"}
Suppose -100*f**3 - 2040*f**2 - 804*f - 80 = 0. Calculate f.
-20, -1/5
{"question": "What is 12130 (base 4) in base 6?", "answer": "1524"}
What is 12130 (base 4) in base 6?
1524
{"question": "Find the third derivative of 90*h**4 - 18*h**2 - 19*h**4 + 2 + 73*h**4 + 2*h**4 wrt h.", "answer": "3504*h"}
Find the third derivative of 90*h**4 - 18*h**2 - 19*h**4 + 2 + 73*h**4 + 2*h**4 wrt h.
3504*h
{"question": "How many milliseconds are there in 29.7244 hours?", "answer": "107007840"}
How many milliseconds are there in 29.7244 hours?
107007840
{"question": "Let q(v) be the first derivative of 2*v**2 - 10. Let h(y) = 17*y. What is 6*h(d) - 26*q(d)?", "answer": "-2*d"}
Let q(v) be the first derivative of 2*v**2 - 10. Let h(y) = 17*y. What is 6*h(d) - 26*q(d)?
-2*d
{"question": "Which is the second smallest value? (a) 51 (b) 0.6 (c) 142/163", "answer": "c"}
Which is the second smallest value? (a) 51 (b) 0.6 (c) 142/163
c
{"question": "Calculate the lowest common multiple of 33564 and 266045046.", "answer": "532090092"}
Calculate the lowest common multiple of 33564 and 266045046.
532090092
{"question": "Let p = -15 - -17. Suppose -p*i + 14 + 22 = 0. List the prime factors of i.", "answer": "2, 3"}
Let p = -15 - -17. Suppose -p*i + 14 + 22 = 0. List the prime factors of i.
2, 3
{"question": "Convert 7777.74l to millilitres.", "answer": "7777740"}
Convert 7777.74l to millilitres.
7777740
{"question": "Which is smaller: -611251 or -611245?", "answer": "-611251"}
Which is smaller: -611251 or -611245?
-611251
{"question": "What is the next term in 447, 899, 1351, 1803, 2255?", "answer": "2707"}
What is the next term in 447, 899, 1351, 1803, 2255?
2707
{"question": "Let q(v) = v. Let d(y) = 2*y**2 + 2*y. Let t(c) = -2*c - 1. Let r(u) = 3*d(u) + 3*t(u). Calculate r(q(h)).", "answer": "6*h**2 - 3"}
Let q(v) = v. Let d(y) = 2*y**2 + 2*y. Let t(c) = -2*c - 1. Let r(u) = 3*d(u) + 3*t(u). Calculate r(q(h)).
6*h**2 - 3
{"question": "What is the smallest value in -1, -0.55, 4, -4?", "answer": "-4"}
What is the smallest value in -1, -0.55, 4, -4?
-4
{"question": "Let z be -2*2 - (89 - -4). Let o = -55 - z. Let k be (-1 - 280/(-15)) + (-1)/(-3). What is the greatest common divisor of o and k?", "answer": "6"}
Let z be -2*2 - (89 - -4). Let o = -55 - z. Let k be (-1 - 280/(-15)) + (-1)/(-3). What is the greatest common divisor of o and k?
6
{"question": "What is the seventh root of 18664 to the nearest integer?", "answer": "4"}
What is the seventh root of 18664 to the nearest integer?
4
{"question": "In base 6, what is -1134301031 + 5?", "answer": "-1134301022"}
In base 6, what is -1134301031 + 5?
-1134301022
{"question": "Let c(k) = 2*k**2 + 70*k + 7. Let q(a) = -4*a**2 - 51*a - 5. Let o(w) = -6*c(w) - 7*q(w). What is o(4)?", "answer": "-3"}
Let c(k) = 2*k**2 + 70*k + 7. Let q(a) = -4*a**2 - 51*a - 5. Let o(w) = -6*c(w) - 7*q(w). What is o(4)?
-3
{"question": "Let i = 43 + -13. Factor 10 + i*o**2 + 10 - 345*o + 390*o + 5*o**3.", "answer": "5*(o + 1)**2*(o + 4)"}
Let i = 43 + -13. Factor 10 + i*o**2 + 10 - 345*o + 390*o + 5*o**3.
5*(o + 1)**2*(o + 4)
{"question": "Does 25 = 411?", "answer": "False"}
Does 25 = 411?
False
{"question": "Suppose -p + 3165 = -4*x, -5*x = -5*p + 1841 + 2134. Let d = 1538 + x. What is the tens digit of d?", "answer": "4"}
Suppose -p + 3165 = -4*x, -5*x = -5*p + 1841 + 2134. Let d = 1538 + x. What is the tens digit of d?
4
{"question": "Calculate (-99)/(-21) - 5 - (-16)/(-42).", "answer": "-2/3"}
Calculate (-99)/(-21) - 5 - (-16)/(-42).
-2/3
{"question": "Suppose 0 = -10*i + 26 + 4. Suppose -63 = -i*y - 3*f, -7*y + 10*y - 3*f - 93 = 0. Calculate the highest common factor of 182 and y.", "answer": "26"}
Suppose 0 = -10*i + 26 + 4. Suppose -63 = -i*y - 3*f, -7*y + 10*y - 3*f - 93 = 0. Calculate the highest common factor of 182 and y.
26
{"question": "Divide -378 by -2.", "answer": "189"}
Divide -378 by -2.
189
{"question": "Let q = -8.06 - -0.06. Let h = -7 - q. Which is the closest to h? (a) -4/5 (b) -1 (c) -0.2", "answer": "c"}
Let q = -8.06 - -0.06. Let h = -7 - q. Which is the closest to h? (a) -4/5 (b) -1 (c) -0.2
c
{"question": "Expand 0*a**2 - a**2 + 4*a**2 + (0*a - 3*a + 4*a)*(-1481*a + 103*a - 1255*a).", "answer": "-2630*a**2"}
Expand 0*a**2 - a**2 + 4*a**2 + (0*a - 3*a + 4*a)*(-1481*a + 103*a - 1255*a).
-2630*a**2
{"question": "Suppose 0 = 2*d + 4*a - 14, -52*d + 56*d - 64 = a. Let l be (-98)/12 + 120/d. Sort -5, -37, l.", "answer": "-37, -5, l"}
Suppose 0 = 2*d + 4*a - 14, -52*d + 56*d - 64 = a. Let l be (-98)/12 + 120/d. Sort -5, -37, l.
-37, -5, l
{"question": "Convert -8c2 (base 13) to base 2.", "answer": "-10111100110"}
Convert -8c2 (base 13) to base 2.
-10111100110
{"question": "Is 3434 a multiple of 33?", "answer": "False"}
Is 3434 a multiple of 33?
False
{"question": "Let b be 2*((-14)/(-4) - 1). Suppose 5*m = b + 20. Suppose 11 = 3*d - 5*t, m*t - 1 = -5*d + 4. Does 2 divide d?", "answer": "True"}
Let b be 2*((-14)/(-4) - 1). Suppose 5*m = b + 20. Suppose 11 = 3*d - 5*t, m*t - 1 = -5*d + 4. Does 2 divide d?
True
{"question": "Which is the closest to -556/9? (a) 12344 (b) 3/5 (c) 2/21", "answer": "c"}
Which is the closest to -556/9? (a) 12344 (b) 3/5 (c) 2/21
c
{"question": "Collect the terms in 0*w**2 + 222*w - 222*w - 2*w**2.", "answer": "-2*w**2"}
Collect the terms in 0*w**2 + 222*w - 222*w - 2*w**2.
-2*w**2
{"question": "Which is bigger: -7/619602 or -1?", "answer": "-7/619602"}
Which is bigger: -7/619602 or -1?
-7/619602
{"question": "Rearrange -73*u**4 + 148*u**4 - 73*u**4 + 2*u**2 - 281*u**3 to x + a*u**4 + b*u + q*u**2 + t*u**3 and give t.", "answer": "-281"}
Rearrange -73*u**4 + 148*u**4 - 73*u**4 + 2*u**2 - 281*u**3 to x + a*u**4 + b*u + q*u**2 + t*u**3 and give t.
-281
{"question": "What is the remainder when 11166071 is divided by 1195?", "answer": "1186"}
What is the remainder when 11166071 is divided by 1195?
1186
{"question": "How many kilometers are there in 546.8995 centimeters?", "answer": "0.005468995"}
How many kilometers are there in 546.8995 centimeters?
0.005468995
{"question": "What is 1*-40*74/(-28120)?", "answer": "2/19"}
What is 1*-40*74/(-28120)?
2/19
{"question": "Let x = -23 + 43. Solve 0 = -4*r + 4 - x for r.", "answer": "-4"}
Let x = -23 + 43. Solve 0 = -4*r + 4 - x for r.
-4
{"question": "What is the k'th term of 4561601, 4561599, 4561597, 4561595?", "answer": "-2*k + 4561603"}
What is the k'th term of 4561601, 4561599, 4561597, 4561595?
-2*k + 4561603
{"question": "Divide -18956 by -3.", "answer": "18956/3"}
Divide -18956 by -3.
18956/3
{"question": "What is 0.00000518650607 rounded to seven decimal places?", "answer": "0.0000052"}
What is 0.00000518650607 rounded to seven decimal places?
0.0000052
{"question": "What is prob of sequence ur when two letters picked without replacement from {u: 1, r: 1, c: 2, t: 2}?", "answer": "1/30"}
What is prob of sequence ur when two letters picked without replacement from {u: 1, r: 1, c: 2, t: 2}?
1/30
{"question": "In base 2, what is -101 + 111001010011?", "answer": "111001001110"}
In base 2, what is -101 + 111001010011?
111001001110
{"question": "What is next in -668, -588, -488, -356, -180, 52?", "answer": "352"}
What is next in -668, -588, -488, -356, -180, 52?
352
{"question": "Collect the terms in 3 + 52*a - 75*a - 3.", "answer": "-23*a"}
Collect the terms in 3 + 52*a - 75*a - 3.
-23*a
{"question": "Let l = 9 - 5. Let v = 3785 - 32965/9. Let f = -122 + v. What is the second biggest value in l, -0.4, f?", "answer": "f"}
Let l = 9 - 5. Let v = 3785 - 32965/9. Let f = -122 + v. What is the second biggest value in l, -0.4, f?
f
{"question": "Let z = -2765 - -2875. Suppose 0 = -4*n - 2*h + 222, 0*h - 105 = -2*n - 3*h. Let i = z - n. What is the units digit of i?", "answer": "3"}
Let z = -2765 - -2875. Suppose 0 = -4*n - 2*h + 222, 0*h - 105 = -2*n - 3*h. Let i = z - n. What is the units digit of i?
3
{"question": "Let l(a) = 14*a - 96. Let k be l(7). What is the second derivative of -75*q + 12*q**3 - 4*q**3 - 45*q**k - 9*q**3 - 94*q + 16*q**2 wrt q?", "answer": "-6*q - 58"}
Let l(a) = 14*a - 96. Let k be l(7). What is the second derivative of -75*q + 12*q**3 - 4*q**3 - 45*q**k - 9*q**3 - 94*q + 16*q**2 wrt q?
-6*q - 58
{"question": "Let i(h) be the first derivative of -7*h**6/6 - 363*h**5/20 - 629*h**4/16 - 259*h**3/12 + 57*h**2/8 + 11*h/2 - 371. Let i(x) = 0. What is x?", "answer": "-11, -1, -1/4, 2/7"}
Let i(h) be the first derivative of -7*h**6/6 - 363*h**5/20 - 629*h**4/16 - 259*h**3/12 + 57*h**2/8 + 11*h/2 - 371. Let i(x) = 0. What is x?
-11, -1, -1/4, 2/7