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": "Calculate ((207214/114)/41)/((-119)/(-51)).", "answer": "19"}
Calculate ((207214/114)/41)/((-119)/(-51)).
19
{"question": "Which is smaller: -1266 or -1263?", "answer": "-1266"}
Which is smaller: -1266 or -1263?
-1266
{"question": "Suppose -2*r + 6 = -3*n - 0, 2*r - 2*n = 8. Find the third derivative of 3*u**6 - r*u**2 + 3*u**2 + 0*u**2 wrt u.", "answer": "360*u**3"}
Suppose -2*r + 6 = -3*n - 0, 2*r - 2*n = 8. Find the third derivative of 3*u**6 - r*u**2 + 3*u**2 + 0*u**2 wrt u.
360*u**3
{"question": "List the prime factors of 130420813.", "answer": "31, 1657, 2539"}
List the prime factors of 130420813.
31, 1657, 2539
{"question": "Let x = -2.8 - -3. Let t(p) = -p**2 + 6*p + 3. Let c be t(7). What is the smallest value in x, c, 1?", "answer": "c"}
Let x = -2.8 - -3. Let t(p) = -p**2 + 6*p + 3. Let c be t(7). What is the smallest value in x, c, 1?
c
{"question": "Calculate the greatest common factor of 4455 and 3071805.", "answer": "165"}
Calculate the greatest common factor of 4455 and 3071805.
165
{"question": "Let h = -47801 + 377418. Is h composite?", "answer": "False"}
Let h = -47801 + 377418. Is h composite?
False
{"question": "In base 14, what is -c6b + 6c?", "answer": "-bdd"}
In base 14, what is -c6b + 6c?
-bdd
{"question": "Let f(s) = 98*s + 193. Calculate f(-5).", "answer": "-297"}
Let f(s) = 98*s + 193. Calculate f(-5).
-297
{"question": "Evaluate 2/(1/(-195)*5220/(-348)).", "answer": "26"}
Evaluate 2/(1/(-195)*5220/(-348)).
26
{"question": "Let l(p) = -2*p. Let k(z) = -3*z - 4. Let y be k(-3). Suppose -2*o + y - 1 = 0. Let q(r) = r**2 - 2*r**o - r**2. Calculate q(l(x)).", "answer": "-8*x**2"}
Let l(p) = -2*p. Let k(z) = -3*z - 4. Let y be k(-3). Suppose -2*o + y - 1 = 0. Let q(r) = r**2 - 2*r**o - r**2. Calculate q(l(x)).
-8*x**2
{"question": "Total of -917356 and -6173.", "answer": "-923529"}
Total of -917356 and -6173.
-923529
{"question": "Round -0.021598548 to 5 decimal places.", "answer": "-0.0216"}
Round -0.021598548 to 5 decimal places.
-0.0216
{"question": "Let f(k) = -k**3 - 8*k**2 - 11*k - 11. What is f(-7)?", "answer": "17"}
Let f(k) = -k**3 - 8*k**2 - 11*k - 11. What is f(-7)?
17
{"question": "Suppose 30*u - 29*u = 6. Calculate the highest common divisor of 906 and u.", "answer": "6"}
Suppose 30*u - 29*u = 6. Calculate the highest common divisor of 906 and u.
6
{"question": "Which is the sixth smallest value? (a) 4 (b) -0.11 (c) -2/17 (d) 5 (e) -0.1 (f) -5", "answer": "d"}
Which is the sixth smallest value? (a) 4 (b) -0.11 (c) -2/17 (d) 5 (e) -0.1 (f) -5
d
{"question": "Let b(w) = -w**3 - w**2 - w + 33. Let r be b(0). Suppose 0*z + 3*z = r. What is the units digit of z?", "answer": "1"}
Let b(w) = -w**3 - w**2 - w + 33. Let r be b(0). Suppose 0*z + 3*z = r. What is the units digit of z?
1
{"question": "What is the value of (-6)/(-45)*5*3432/10868?", "answer": "4/19"}
What is the value of (-6)/(-45)*5*3432/10868?
4/19
{"question": "Rearrange j - 10 + 10 - 2*j**2 to the form a + n*j**2 + r*j and give r.", "answer": "1"}
Rearrange j - 10 + 10 - 2*j**2 to the form a + n*j**2 + r*j and give r.
1
{"question": "What is the nearest to -2/11 in -2/17, 9, -3?", "answer": "-2/17"}
What is the nearest to -2/11 in -2/17, 9, -3?
-2/17
{"question": "What is the greatest common factor of 30 and 10?", "answer": "10"}
What is the greatest common factor of 30 and 10?
10
{"question": "Suppose 14 = i + 7, 2*i = 2*q + 28. Sort q, -0.4, 2/5, 2/9, -0.07 in ascending order.", "answer": "q, -0.4, -0.07, 2/9, 2/5"}
Suppose 14 = i + 7, 2*i = 2*q + 28. Sort q, -0.4, 2/5, 2/9, -0.07 in ascending order.
q, -0.4, -0.07, 2/9, 2/5
{"question": "Suppose -6646 = -46*s + 1312. Solve s*y - 184*y = 33 for y.", "answer": "-3"}
Suppose -6646 = -46*s + 1312. Solve s*y - 184*y = 33 for y.
-3
{"question": "What is the remainder when 15083744 is divided by 3770917?", "answer": "76"}
What is the remainder when 15083744 is divided by 3770917?
76
{"question": "Let s be 110/35 - (-1)/(14/(-2)). Let p be -3 + s + 5 + 658. Suppose 2*u + p = 5*u. List the prime factors of u.", "answer": "13, 17"}
Let s be 110/35 - (-1)/(14/(-2)). Let p be -3 + s + 5 + 658. Suppose 2*u + p = 5*u. List the prime factors of u.
13, 17
{"question": "What is prob of picking 2 r and 1 a when three letters picked without replacement from raaarraraa?", "answer": "3/10"}
What is prob of picking 2 r and 1 a when three letters picked without replacement from raaarraraa?
3/10
{"question": "Suppose -85*x - 240 = -93*x. What is the units digit of x?", "answer": "0"}
Suppose -85*x - 240 = -93*x. What is the units digit of x?
0
{"question": "What is 92030 rounded to the nearest 10000?", "answer": "90000"}
What is 92030 rounded to the nearest 10000?
90000
{"question": "Find the first derivative of -178*m*v + 299917*m + 115*v**4 - 1 wrt v.", "answer": "-178*m + 460*v**3"}
Find the first derivative of -178*m*v + 299917*m + 115*v**4 - 1 wrt v.
-178*m + 460*v**3
{"question": "How many nanoseconds are there in twenty-five quarters of a microsecond?", "answer": "6250"}
How many nanoseconds are there in twenty-five quarters of a microsecond?
6250
{"question": "What is the units digit of 21065?", "answer": "5"}
What is the units digit of 21065?
5
{"question": "List the prime factors of (-2550)/306*(-3582)/15.", "answer": "2, 5, 199"}
List the prime factors of (-2550)/306*(-3582)/15.
2, 5, 199
{"question": "Simplify 6*(-2*sqrt(2736) + -4 + (sqrt(2736) + 0)*5 + sqrt(2736) + sqrt(2736)).", "answer": "-24 + 360*sqrt(19)"}
Simplify 6*(-2*sqrt(2736) + -4 + (sqrt(2736) + 0)*5 + sqrt(2736) + sqrt(2736)).
-24 + 360*sqrt(19)
{"question": "Calculate -225832 divided by 2.", "answer": "-112916"}
Calculate -225832 divided by 2.
-112916
{"question": "Is 11 a factor of 15829?", "answer": "True"}
Is 11 a factor of 15829?
True
{"question": "Suppose 3*m + 9 = -0*m. Let y = m - -7. Let k be ((-14)/(-4))/(-7)*1. Which is the nearest to k? (a) -2 (b) -0.1 (c) y", "answer": "b"}
Suppose 3*m + 9 = -0*m. Let y = m - -7. Let k be ((-14)/(-4))/(-7)*1. Which is the nearest to k? (a) -2 (b) -0.1 (c) y
b
{"question": "What is -1 + -9 + 7 + 10?", "answer": "7"}
What is -1 + -9 + 7 + 10?
7
{"question": "Three letters picked without replacement from sswssswwwswssswwssww. Give prob of picking 3 s.", "answer": "11/76"}
Three letters picked without replacement from sswssswwwswssswwssww. Give prob of picking 3 s.
11/76
{"question": "Three letters picked without replacement from vfvvvbcvbtfvav. What is prob of sequence bvt?", "answer": "1/156"}
Three letters picked without replacement from vfvvvbcvbtfvav. What is prob of sequence bvt?
1/156
{"question": "Let j = 0.5 - 0. Let c = -9.2 + 9.1. What is the nearest to c in -1/7, -2, j?", "answer": "-1/7"}
Let j = 0.5 - 0. Let c = -9.2 + 9.1. What is the nearest to c in -1/7, -2, j?
-1/7
{"question": "Let c be 1 + (21/14)/(2/4). Suppose 21 = 3*x + 3*o, 0*o + 10 = c*x - 2*o. Solve -6 = b + x*b + g, -5*b - 2*g - 2 = 0 for b.", "answer": "-2"}
Let c be 1 + (21/14)/(2/4). Suppose 21 = 3*x + 3*o, 0*o + 10 = c*x - 2*o. Solve -6 = b + x*b + g, -5*b - 2*g - 2 = 0 for b.
-2
{"question": "Expand (3*a - 5*a + 4*a)*(12*a**4 + 5*a**4 + a**4) - 13*a**3 + 5*a**5 + 13*a**3 + 0 + 0 + a**5 + 0*a**3 - 2*a**5 + 0*a**3.", "answer": "40*a**5"}
Expand (3*a - 5*a + 4*a)*(12*a**4 + 5*a**4 + a**4) - 13*a**3 + 5*a**5 + 13*a**3 + 0 + 0 + a**5 + 0*a**3 - 2*a**5 + 0*a**3.
40*a**5
{"question": "20777368 * -0.3", "answer": "-6233210.4"}
20777368 * -0.3
-6233210.4
{"question": "Suppose 3*j = -j + 8. Suppose -j*y + 6*y = 12. Suppose -y - 8 = -l. Solve -2*r - r + l = 5*t, 3*r - 3*t = 3 for r.", "answer": "2"}
Suppose 3*j = -j + 8. Suppose -j*y + 6*y = 12. Suppose -y - 8 = -l. Solve -2*r - r + l = 5*t, 3*r - 3*t = 3 for r.
2
{"question": "Which is the closest to -3/2? (a) 0.41 (b) 5.06 (c) -17", "answer": "a"}
Which is the closest to -3/2? (a) 0.41 (b) 5.06 (c) -17
a
{"question": "Let m = 502 + -290. Suppose 0*w + 3*k - m = -4*w, 2*k + 53 = w. What is the tens digit of w?", "answer": "5"}
Let m = 502 + -290. Suppose 0*w + 3*k - m = -4*w, 2*k + 53 = w. What is the tens digit of w?
5
{"question": "Let v(n) = n**2 - 9*n + 11. Let g be v(8). Let z(i) = i**3 - 5*i**2 + 2*i + 7. Let m be z(g). What is the nearest to 0.1 in -0.4, -0.3, m?", "answer": "-0.3"}
Let v(n) = n**2 - 9*n + 11. Let g be v(8). Let z(i) = i**3 - 5*i**2 + 2*i + 7. Let m be z(g). What is the nearest to 0.1 in -0.4, -0.3, m?
-0.3
{"question": "What is the third root of 1740924 to the nearest integer?", "answer": "120"}
What is the third root of 1740924 to the nearest integer?
120
{"question": "Collect the terms in 110*m - 52*m - 55*m - 42*m.", "answer": "-39*m"}
Collect the terms in 110*m - 52*m - 55*m - 42*m.
-39*m
{"question": "What is next in -15123341, -15123342, -15123343?", "answer": "-15123344"}
What is next in -15123341, -15123342, -15123343?
-15123344
{"question": "Let j(o) = 98008*o + 294015. Calculate j(-3).", "answer": "-9"}
Let j(o) = 98008*o + 294015. Calculate j(-3).
-9
{"question": "Simplify (4*(sqrt(119) + (sqrt(119) - (sqrt(119) - sqrt(119)*-2*2))))/((sqrt(7) - -2*-2*sqrt(7)) + -3*sqrt(112)).", "answer": "4*sqrt(17)/5"}
Simplify (4*(sqrt(119) + (sqrt(119) - (sqrt(119) - sqrt(119)*-2*2))))/((sqrt(7) - -2*-2*sqrt(7)) + -3*sqrt(112)).
4*sqrt(17)/5
{"question": "Determine p so that -2*p**2/13 - 94*p = 0.", "answer": "-611, 0"}
Determine p so that -2*p**2/13 - 94*p = 0.
-611, 0
{"question": "Does 127 divide 4318?", "answer": "True"}
Does 127 divide 4318?
True
{"question": "Let p = 1 - -2. Suppose 0 = p*x - 2*x - 2. Suppose 3*k - 44 = -x*k + 4*j, -5*j - 37 = -4*k. What is the remainder when 15 is divided by k?", "answer": "7"}
Let p = 1 - -2. Suppose 0 = p*x - 2*x - 2. Suppose 3*k - 44 = -x*k + 4*j, -5*j - 37 = -4*k. What is the remainder when 15 is divided by k?
7
{"question": "What is next in -42, 102, 436, 960?", "answer": "1674"}
What is next in -42, 102, 436, 960?
1674
{"question": "Suppose -2*o - 10 = 2*f - 3*o, -f - 7 = -o. Let w(u) = u**3 + 6*u**2 - 5*u + 8. Let g be w(-7). Let x be 8/g*27/24. Is x at least f?", "answer": "True"}
Suppose -2*o - 10 = 2*f - 3*o, -f - 7 = -o. Let w(u) = u**3 + 6*u**2 - 5*u + 8. Let g be w(-7). Let x be 8/g*27/24. Is x at least f?
True
{"question": "Let c(j) = j**3 - 23*j**2 + 3355*j - 45210. What is c(14)?", "answer": "-4"}
Let c(j) = j**3 - 23*j**2 + 3355*j - 45210. What is c(14)?
-4
{"question": "Calculate the remainder when 1729331 is divided by 19877.", "answer": "32"}
Calculate the remainder when 1729331 is divided by 19877.
32
{"question": "Let w(h) = 2158*h**2 + 77*h + 79. Does 9 divide w(-1)?", "answer": "True"}
Let w(h) = 2158*h**2 + 77*h + 79. Does 9 divide w(-1)?
True
{"question": "Evaluate -24 + 53 + 29 + 65 + -123.", "answer": "0"}
Evaluate -24 + 53 + 29 + 65 + -123.
0
{"question": "Four letters picked without replacement from {g: 1, w: 8, m: 4, r: 2}. Give prob of sequence gmrm.", "answer": "1/1365"}
Four letters picked without replacement from {g: 1, w: 8, m: 4, r: 2}. Give prob of sequence gmrm.
1/1365
{"question": "Simplify (f**(2/27))**(-36/5)*f**(-16)/(f**(5/6)/f) assuming f is positive.", "answer": "f**(-491/30)"}
Simplify (f**(2/27))**(-36/5)*f**(-16)/(f**(5/6)/f) assuming f is positive.
f**(-491/30)
{"question": "Let p = 752 - 444. What are the prime factors of p?", "answer": "2, 7, 11"}
Let p = 752 - 444. What are the prime factors of p?
2, 7, 11
{"question": "Let y = -237.06 + 73.82. Let h = y + 160. Let k = 0.24 + h. Is k at least 3?", "answer": "False"}
Let y = -237.06 + 73.82. Let h = y + 160. Let k = 0.24 + h. Is k at least 3?
False
{"question": "What is 255.6996 litres in millilitres?", "answer": "255699.6"}
What is 255.6996 litres in millilitres?
255699.6
{"question": "Let t(h) = 2*h. Let o(f) = -6 + 5*f**2 - 2 + 8. Give t(o(j)).", "answer": "10*j**2"}
Let t(h) = 2*h. Let o(f) = -6 + 5*f**2 - 2 + 8. Give t(o(j)).
10*j**2
{"question": "Let g = 31/10 - -32/5. Let n = 67/4 - g. Find the common denominator of n and ((-259)/(-42))/(6/8).", "answer": "36"}
Let g = 31/10 - -32/5. Let n = 67/4 - g. Find the common denominator of n and ((-259)/(-42))/(6/8).
36
{"question": "Let h(d) = -2*d + 6. Let k be -9*5/((-45)/(-6)). Let u be h(k). Let v be (-4)/u + (-288)/(-2025). Which is smaller: -1 or v?", "answer": "-1"}
Let h(d) = -2*d + 6. Let k be -9*5/((-45)/(-6)). Let u be h(k). Let v be (-4)/u + (-288)/(-2025). Which is smaller: -1 or v?
-1
{"question": "Is 4251860 a multiple of 20?", "answer": "True"}
Is 4251860 a multiple of 20?
True
{"question": "Solve 0 = -z - 3*t, -3*z - 1 + 6 = 4*t for z.", "answer": "3"}
Solve 0 = -z - 3*t, -3*z - 1 + 6 = 4*t for z.
3
{"question": "Multiply -200282 and 13.", "answer": "-2603666"}
Multiply -200282 and 13.
-2603666
{"question": "Let z(s) = 10937*s - 1607741. What is z(147)?", "answer": "-2"}
Let z(s) = 10937*s - 1607741. What is z(147)?
-2
{"question": "Let x(n) = 17*n + 13*n - 14*n - 2. What are the prime factors of x(6)?", "answer": "2, 47"}
Let x(n) = 17*n + 13*n - 14*n - 2. What are the prime factors of x(6)?
2, 47
{"question": "What is the g'th term of -12, -42, -90, -156, -240, -342?", "answer": "-9*g**2 - 3*g"}
What is the g'th term of -12, -42, -90, -156, -240, -342?
-9*g**2 - 3*g
{"question": "(13 - (-46 + 59))/(-1)", "answer": "0"}
(13 - (-46 + 59))/(-1)
0
{"question": "Which is the closest to 1? (a) 0.4 (b) 6 (c) 3 (d) -2", "answer": "a"}
Which is the closest to 1? (a) 0.4 (b) 6 (c) 3 (d) -2
a
{"question": "Suppose 5*u + 3 = 6*u. Let a be 3 + u - (2 + 1). Suppose 8*t - a*t - 397 = 2*i, 5*t - 5*i = 385. Is 7 a factor of t?", "answer": "False"}
Suppose 5*u + 3 = 6*u. Let a be 3 + u - (2 + 1). Suppose 8*t - a*t - 397 = 2*i, 5*t - 5*i = 385. Is 7 a factor of t?
False
{"question": "Solve 62*t - 3848 = -4406 for t.", "answer": "-9"}
Solve 62*t - 3848 = -4406 for t.
-9
{"question": "Let l be (-10)/(-15)*(-6)/(-2). Suppose -l*i + 172 = 3*r - 0*r, 4*i = 5*r - 250. Let s = r + -16. List the prime factors of s.", "answer": "2, 19"}
Let l be (-10)/(-15)*(-6)/(-2). Suppose -l*i + 172 = 3*r - 0*r, 4*i = 5*r - 250. Let s = r + -16. List the prime factors of s.
2, 19
{"question": "Suppose -3*x - 2*m = -39, 12 = -m + 5*m. What is the greatest common divisor of 22 and x?", "answer": "11"}
Suppose -3*x - 2*m = -39, 12 = -m + 5*m. What is the greatest common divisor of 22 and x?
11
{"question": "Let h(b) be the first derivative of -1827*b**5/5 - 3*b**4/4 + 10*b**3/3 - 2*b**2 - b + 7688. What is the third derivative of h(t) wrt t?", "answer": "-43848*t - 18"}
Let h(b) be the first derivative of -1827*b**5/5 - 3*b**4/4 + 10*b**3/3 - 2*b**2 - b + 7688. What is the third derivative of h(t) wrt t?
-43848*t - 18
{"question": "Suppose 5*r + 239 = 4*x, -3*x - 4*r - 179 = -6*x. List the prime factors of x.", "answer": "61"}
Suppose 5*r + 239 = 4*x, -3*x - 4*r - 179 = -6*x. List the prime factors of x.
61
{"question": "Evaluate (((-704)/48)/(-22))/((-3)/(9/2)).", "answer": "-1"}
Evaluate (((-704)/48)/(-22))/((-3)/(9/2)).
-1
{"question": "Let u(k) = -4*k**3 - 86*k**2 - 5*k + 611. Give u(-21).", "answer": "-166"}
Let u(k) = -4*k**3 - 86*k**2 - 5*k + 611. Give u(-21).
-166
{"question": "What is the value of (5355/(-28))/15*(-4020)/603?", "answer": "85"}
What is the value of (5355/(-28))/15*(-4020)/603?
85
{"question": "What is next in 2760006, 2760003, 2759998, 2759991, 2759982, 2759971?", "answer": "2759958"}
What is next in 2760006, 2760003, 2759998, 2759991, 2759982, 2759971?
2759958
{"question": "What is the lowest common multiple of 122037252 and 873?", "answer": "366111756"}
What is the lowest common multiple of 122037252 and 873?
366111756
{"question": "Suppose -5*v + 2*v = -57. Let l = -6400 + 6401. Calculate the highest common divisor of l and v.", "answer": "1"}
Suppose -5*v + 2*v = -57. Let l = -6400 + 6401. Calculate the highest common divisor of l and v.
1
{"question": "Suppose 4*v = -3*o - v + 19, -23 = -3*o - 4*v. Suppose -w = -o*w. What is the tens digit of ((-6 - w)/1)/(2/(-86))?", "answer": "5"}
Suppose 4*v = -3*o - v + 19, -23 = -3*o - 4*v. Suppose -w = -o*w. What is the tens digit of ((-6 - w)/1)/(2/(-86))?
5
{"question": "What is the common denominator of -97/14 and -45/358?", "answer": "2506"}
What is the common denominator of -97/14 and -45/358?
2506
{"question": "What is the value of ((150/(-35))/5)/(6/(-126))?", "answer": "18"}
What is the value of ((150/(-35))/5)/(6/(-126))?
18
{"question": "Let k = -8918 + 8920. Let r = -4 - -8. What is g in 1/8*g**3 + 3/4*g**k + 0*g - r = 0?", "answer": "-4, 2"}
Let k = -8918 + 8920. Let r = -4 - -8. What is g in 1/8*g**3 + 3/4*g**k + 0*g - r = 0?
-4, 2
{"question": "Suppose -7*b - 592 = -641. Put -27, 5, b in ascending order.", "answer": "-27, 5, b"}
Suppose -7*b - 592 = -641. Put -27, 5, b in ascending order.
-27, 5, b
{"question": "-2 divided by 999", "answer": "-2/999"}
-2 divided by 999
-2/999
{"question": "Calculate the remainder when 250 is divided by 75.", "answer": "25"}
Calculate the remainder when 250 is divided by 75.
25
{"question": "What is the next term in 41004528, 41004527, 41004526, 41004525, 41004524?", "answer": "41004523"}
What is the next term in 41004528, 41004527, 41004526, 41004525, 41004524?
41004523
{"question": "Find the third derivative of -578288426*i**6 - 1114923466*i**2.", "answer": "-69394611120*i**3"}
Find the third derivative of -578288426*i**6 - 1114923466*i**2.
-69394611120*i**3
{"question": "Let i = 11.5 - 7.6. Let n = 2.2 - 1.1. Let g = i + n. Sort -3/4, 0.1, g in decreasing order.", "answer": "g, 0.1, -3/4"}
Let i = 11.5 - 7.6. Let n = 2.2 - 1.1. Let g = i + n. Sort -3/4, 0.1, g in decreasing order.
g, 0.1, -3/4
{"question": "What is the hundred thousands digit of 14568719?", "answer": "5"}
What is the hundred thousands digit of 14568719?
5