instruction_seed stringlengths 5 2.9k | response_seed stringlengths 3 9.55k | input stringclasses 1
value | _source stringclasses 1
value |
|---|---|---|---|
Is 1714 a multiple of 12?\n | False\n | ibivibiv/math_instruct | |
Solve 21 = 32*r - 3 - 8, -39*n - 30 = 5*r - 62 - 51 for n.\n | 2\n | ibivibiv/math_instruct | |
Which is the closest to -15? (a) -2/19 (b) -5/2 (c) 1\n | b\n | ibivibiv/math_instruct | |
What is the thousands digit of 8558656?\n | 8\n | ibivibiv/math_instruct | |
What is 388 minutes before 2:25 PM?\n | 7:57 AM\n | ibivibiv/math_instruct | |
Solve 7732*r - 6998*r = -32296 for r.\n | -44\n | ibivibiv/math_instruct | |
Let s(p) be the third derivative of p**5/50 + 41*p**4/60 - 4*p**3 - 185*p**2 + 1. Factor s(k).\n | 2*(k + 15)*(3*k - 4)/5\n | ibivibiv/math_instruct | |
Evaluate (-2)/(-16) - 1936/(-7040).\n | 2/5\n | ibivibiv/math_instruct | |
Let o(w) = -6*w + 15. Let r be o(-3). Suppose x = -2, 0*t - r = -5*t + 4*x. Suppose -17 = -2*s + v, -t*s = 4*v - 2*v - 29. What is the units digit of s?\n | 7\n | ibivibiv/math_instruct | |
Let k = 255 + -219. Let g be (k/(-168))/((-18)/21). What is the fourth smallest value in -0.2, g, -1, 0.3?\n | 0.3\n | ibivibiv/math_instruct | |
Let h = -4264 - -4360. What is the highest common divisor of h and 1068?\n | 12\n | ibivibiv/math_instruct | |
Evaluate 7/(63/(-117)) + ((-8)/(-20))/((-51)/9180).\n | -85\n | ibivibiv/math_instruct | |
Let b(z) be the second derivative of -z**4/12 + 5*z**3/3 + 7*z**2 - 6*z. Let k be b(11). Which is greater: k or 2?\n | k\n | ibivibiv/math_instruct | |
Calculate 6 divided by -39.\n | -2/13\n | ibivibiv/math_instruct | |
Calculate the remainder when 15332356 is divided by 40.\n | 36\n | ibivibiv/math_instruct | |
Let r = -87 - -24. Let c = r + 62.99999967. Round c to 7 decimal places.\n | -0.0000003\n | ibivibiv/math_instruct | |
Rearrange ((3 + 4*r - 3)*(2 + 5 - 2) - r + r + 3*r)*(3*r + 3*r**2 - 3*r) to the form z*r + x + o*r**2 + c*r**3 and give c.\n | 69\n | ibivibiv/math_instruct | |
Let r(m) = 2577*m**3 + 14*m**2 + 2*m. Let b(g) = -2576*g**3 - 21*g**2 - 3*g. Give -2*b(h) - 3*r(h).\n | -2579*h**3\n | ibivibiv/math_instruct | |
Suppose 3*l - 1 - 11 = 0. Let k(o) = 100*o - 18. What is the remainder when k(l) is divided by 48?\n | 46\n | ibivibiv/math_instruct | |
Let q(g) = 0 + 3*g + 0*g + 1. Suppose -37 + 32 - 205 = -105*d. Calculate q(d).\n | 7\n | ibivibiv/math_instruct | |
What is -47954263 less than -4?\n | 47954259\n | ibivibiv/math_instruct | |
Let s = 116 + -117.61. Let w = s + 0.31. Let n = 1.1 + w. Which is the biggest value? (a) 1/4 (b) n (c) 2/7\n | c\n | ibivibiv/math_instruct | |
In base 3, what is 0 - 2100111001001201?\n | -2100111001001201\n | ibivibiv/math_instruct | |
Solve 3*a = 7 - 10 for a.\n | -1\n | ibivibiv/math_instruct | |
3 people can do 3 times of a particular work in a certain number of days. It takes 6 people the same number of days to do 6 times of that particular work. How many days does it take for the first group to complete their work? | Let's denote the amount of work as W, and the number of days it takes for the first group to complete their work as D.
According to the problem, 3 people can do 3W work in D days. This means that 1 person can do W work in D days.
Now, it is stated that 6 people can do 6W work in the same number of days, D. Since 6 pe... | ibivibiv/math_instruct | |
Simplify (y*y/((y/(y/(y*y**(-2/11))))/y))/(((y/((y*y**(-2))/y))/y)/y*y*y) assuming y is positive.\n | y**(-9/11)\n | ibivibiv/math_instruct | |
Simplify sqrt(143)/(sqrt(99)*3).\n | sqrt(13)/9\n | ibivibiv/math_instruct | |
Solve 3*j - 392 = -392 for j.\n | 0\n | ibivibiv/math_instruct | |
What is the third derivative of 875*h**6 + 34514*h**5 - 43686738*h**2?\n | 105000*h**3 + 2070840*h**2\n | ibivibiv/math_instruct | |
Suppose -3*x + 0*a + 17 = a, 4*x + 2*a = 24. Let u = x - 41. Let v = u - -31. Let y(o) = o**3 + 5*o**2 + o - 7. Determine y(v).\n | -12\n | ibivibiv/math_instruct | |
Let s(u) = 61132*u. Let p(g) = 26*g**2 + 5*g. What is s(p(v))?\n | 1589432*v**2 + 305660*v\n | ibivibiv/math_instruct | |
Express -4*u**3 + 0*u**3 - 172*u**2 + 171*u**2 in the form d + r*u**2 + h*u + y*u**3 and give y.\n | -4\n | ibivibiv/math_instruct | |
Let k(a) = -45*a**3 - 4*a - 4. Let y(i) = 44*i**3 + 5*i + 5. Determine -5*k(f) - 4*y(f).\n | 49*f**3\n | ibivibiv/math_instruct | |
Let s(b) = -2*b**3 - 4*b**2 - 346. Give s(0).\n | -346\n | ibivibiv/math_instruct | |
Let o be 57/(-132) - (-23)/92. Put 0.1, o, 0.4, -4 in decreasing order.\n | 0.4, 0.1, o, -4\n | ibivibiv/math_instruct | |
Suppose 0 = 4*t - 30 + 6. What is the least common multiple of t and 42?\n | 42\n | ibivibiv/math_instruct | |
What is the thousands digit of 1881687127?\n | 7\n | ibivibiv/math_instruct | |
Which is the nearest to 75/2? (a) -20/31 (b) -1 (c) 0.03 (d) 0.1\n | d\n | ibivibiv/math_instruct | |
Suppose 162*j - 1712845 = 513035. What is the ten thousands digit of j?\n | 1\n | ibivibiv/math_instruct | |
Let w = 198 + -201. Calculate the remainder when 27 is divided by -1 + 5 + (12/w - -7).\n | 6\n | ibivibiv/math_instruct | |
Solve 336 = -43*q - 13*q for q.\n | -6\n | ibivibiv/math_instruct | |
What is 457 minutes before 9:37 AM?\n | 2:00 AM\n | ibivibiv/math_instruct | |
Find the common denominator of 37/14758 and 77/752.\n | 118064\n | ibivibiv/math_instruct | |
Suppose -674 = 5*w + 918 - 32437. What is the hundreds digit of w?\n | 1\n | ibivibiv/math_instruct | |
What is next in -38457, -76915, -115373, -153831, -192289, -230747?\n | -269205\n | ibivibiv/math_instruct | |
Suppose -13*l - 2482864 - 8293660 = -1114924. What is l rounded to the nearest one hundred thousand?\n | -700000\n | ibivibiv/math_instruct | |
Sort 1/7, -2, 0.21, -15.14, 1, 6 in increasing order.\n | -15.14, -2, 1/7, 0.21, 1, 6\n | ibivibiv/math_instruct | |
What is 0.0779 minus -10?\n | 10.0779\n | ibivibiv/math_instruct | |
Sort 3, 1/5, -0.248 in decreasing order.\n | 3, 1/5, -0.248\n | ibivibiv/math_instruct | |
Collect the terms in -668975*l - 668976*l + 1337946*l.\n | -5*l\n | ibivibiv/math_instruct | |
What is the fourth root of 488883 to the nearest integer?\n | 26\n | ibivibiv/math_instruct | |
Let s be 2/6 - 48/(-18). Let n be (s/(-9))/(7/21). Which is smaller: n or -2?\n | -2\n | ibivibiv/math_instruct | |
Expand (7*l**2 + 3*l**2 - 3*l**2)*(l**2 - 3*l**2 + 5*l**2).\n | 21*l**4\n | ibivibiv/math_instruct | |
Let t = -914 - -18229/20. Calculate the common denominator of t and 107/434.\n | 4340\n | ibivibiv/math_instruct | |
Find the common denominator of 19/577 and -13/1637.\n | 944549\n | ibivibiv/math_instruct | |
Let p = 329 + -87. Suppose -66 = -4*h + p. What is the greatest common divisor of 33 and h?\n | 11\n | ibivibiv/math_instruct | |
Put 5, -2, 2, -824, -11, 49 in descending order.\n | 49, 5, 2, -2, -11, -824\n | ibivibiv/math_instruct | |
Simplify (r**(3/5)*r*r**(-11))**(-12) assuming r is positive.\n | r**(564/5)\n | ibivibiv/math_instruct | |
Calculate (8/(8/(-3)))/(138/460).\n | -10\n | ibivibiv/math_instruct | |
Let a(h) = h**3 + 5*h**2 + 6*h + 8. Let o be a(-3). Suppose -2*p + o*p = 24. Suppose 0 = -2*r + 5*f + p, -f - 3*f - 2 = -r. Sort 4, r, 3, -4.\n | -4, r, 3, 4\n | ibivibiv/math_instruct | |
Let k(n) = -2 - 3*n + 4 + 1 - 2*n. Is k(-6) a multiple of 11?\n | True\n | ibivibiv/math_instruct | |
Expand -2*q**2 - 3*q**2 - 8*q**3 + 5*q**2 + (-16*q + 19*q + 26*q)*(-2*q**2 + 4*q**2 + 0*q**2).\n | 50*q**3\n | ibivibiv/math_instruct | |
What is 724210 rounded to the nearest one hundred thousand?\n | 700000\n | ibivibiv/math_instruct | |
249.41*-0.1\n | -24.941\n | ibivibiv/math_instruct | |
Let n(u) = -2*u**2. Suppose 16*y - 42 = 102. Suppose t + 3*k = 2*t + 12, -4*t = 4*k - 32. Let i(w) = -9*w - y*w + t*w + 3*w. Calculate i(n(b)).\n | 24*b**2\n | ibivibiv/math_instruct | |
Evaluate -3 + (-1 - (4 - 8)) - -2.\n | 2\n | ibivibiv/math_instruct | |
Expand (1 + 1 - 4 + l + 2*l**3)*(-17*l - 31*l + 7*l).\n | -82*l**4 - 41*l**2 + 82*l\n | ibivibiv/math_instruct | |
Let x = -314 + 314.1. Which is smaller: -1/238 or x?\n | -1/238\n | ibivibiv/math_instruct | |
Collect the terms in -2729110*g - 2*g**3 + 2729110*g.\n | -2*g**3\n | ibivibiv/math_instruct | |
What is 28058040 to the power of 1/2, to the nearest integer?\n | 5297\n | ibivibiv/math_instruct | |
Suppose 41 = 4*j - 4*v - 51, -2*j + 46 = -4*v. What is the highest common divisor of 276 and j?\n | 23\n | ibivibiv/math_instruct | |
Let v be (525/(-56) - -9) + (-86)/(-16). Sort -3, -8, 6, v in increasing order.\n | -8, -3, v, 6\n | ibivibiv/math_instruct | |
In base 16, what is 2 + -22c?\n | -22a\n | ibivibiv/math_instruct | |
Let u(j) = j**2 - 3*j - 1. Let t be u(4). Suppose -29 = 5*v - 4*d, 4*v + 11 = -2*d - 7. Let y = v + 8. Solve 2*k + y*k = -20, 2*k + 2 = -t*r for r.\n | 2\n | ibivibiv/math_instruct | |
Let a(l) = -46030*l + 1309. Is a(-4) a composite number?\n | False\n | ibivibiv/math_instruct | |
Let j be 4/(-5)*15/6. Let u(p) = p**2 - p - 1. Let d be u(-2). Put d, -3, j in increasing order.\n | -3, j, d\n | ibivibiv/math_instruct | |
Let c(q) = -q**2 + 7*q - 7. Let v be c(5). Suppose -g + 0 = -5*p + 13, -3*p + v*g + 15 = 0. Solve p*l = 6*l - 8 for l.\n | 2\n | ibivibiv/math_instruct | |
Suppose 3*c - p + 18 = 0, 2*c + 3*p + 4 - 3 = 0. Let a(k) = k + 1 + 2*k - 2. Let v(r) = -2*r. Let g(x) = c*v(x) - 3*a(x). Determine g(4).\n | 7\n | ibivibiv/math_instruct | |
Rearrange 150*a - 9 + 9 - 3 - 1 + 1 to c + o*a and give c.\n | -3\n | ibivibiv/math_instruct | |
Let l(x) = x**3 + 12*x**2 + x + 22. Let u be l(-12). Which is greater: u or 12?\n | 12\n | ibivibiv/math_instruct | |
Let k(w) = w + 1. Let p be k(-3). Let y(s) = 14*s**2 + 2*s + 1. What are the prime factors of y(p)?\n | 53\n | ibivibiv/math_instruct | |
What is the least common multiple of 156 and 781716?\n | 781716\n | ibivibiv/math_instruct | |
List the prime factors of 16/136 + -2 + (-5436)/(-34).\n | 2, 79\n | ibivibiv/math_instruct | |
Let b(q) = -15 - q**2 - 24*q**3 + 7*q**2 + 9*q + 23*q**3 + 7*q**2. Let n be b(13). What is the greatest common factor of n and 153?\n | 51\n | ibivibiv/math_instruct | |
What is 344 minutes after 11:20 PM?\n | 5:04 AM\n | ibivibiv/math_instruct | |
Is 42962671061 composite?\n | True\n | ibivibiv/math_instruct | |
Collect the terms in -390723*u + 14*u**2 + 390723*u + 2.\n | 14*u**2 + 2\n | ibivibiv/math_instruct | |
Which is greater: 3 or -4?\n | 3\n | ibivibiv/math_instruct | |
b"What is the tth term of -70, -131, -192, -253, -314?\n" | -61*t - 9\n | ibivibiv/math_instruct | |
Calculate the greatest common factor of 4212 and 3263.\n | 13\n | ibivibiv/math_instruct | |
What is the value of (-5)/(-115) + (-405)/1380?\n | -1/4\n | ibivibiv/math_instruct | |
Determine j, given that -j**2 + 7165432*j - 7165431 = 0.\n | 1, 7165431\n | ibivibiv/math_instruct | |
What is 401 minutes before 10:25 PM?\n | 3:44 PM\n | ibivibiv/math_instruct | |
Sort -1771, 47, -15 in increasing order.\n | -1771, -15, 47\n | ibivibiv/math_instruct | |
Let y(j) = -j**2 + 4*j**2 + 0*j**2. Let p(t) = 3*t**2. Determine p(y(i)).\n | 27*i**4\n | ibivibiv/math_instruct | |
What is the units digit of 320559300?\n | 0\n | ibivibiv/math_instruct | |
What are the prime factors of 42623458?\n | 2, 21311729\n | ibivibiv/math_instruct | |
Let s(n) = 18*n**4 + 8*n - 32. Let m(r) = -6*r**4 - 3*r + 11. Let t(v) = -8*m(v) - 3*s(v). What is the first derivative of t(j) wrt j?\n | -24*j**3\n | ibivibiv/math_instruct | |
Let q(y) = 3*y**2 - 1. Let a be q(1). Let d be a/1 + 3179/44. Let z = d - 601/12. What is the common denominator of z and -101/50?\n | 150\n | ibivibiv/math_instruct | |
Which is smaller: -1134 or 306?\n | -1134\n | ibivibiv/math_instruct |
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