instruction_seed stringlengths 5 2.9k | response_seed stringlengths 3 9.55k | input stringclasses 1
value | _source stringclasses 1
value |
|---|---|---|---|
Is 34237830 a multiple of 30?\n | True\n | ibivibiv/math_instruct | |
Let b(t) be the third derivative of -29*t**5/2 - 298*t**2. Let p(l) = 2*l**2. Determine p(b(o)).\n | 1513800*o**4\n | ibivibiv/math_instruct | |
Let u = -1/20 - 3/20. Let m = 124 - 132.1. Let p = m - -8. What is the nearest to 2 in 2, p, u?\n | 2\n | ibivibiv/math_instruct | |
Let l(z) be the first derivative of 28 - 3/2*z**2 + z**3 - 2*z + 1/4*z**4. Let u = -8 + 5. Give l(u).\n | 7\n | ibivibiv/math_instruct | |
Expand (-3*v + 2*v**2 + 3*v)*((1 + 3 - 2)*(-3*v + 3*v + 2*v) + (-3 - 1 + 1)*(-1 - v + 1)).\n | 14*v**3\n | ibivibiv/math_instruct | |
Let g(w) = -w**3 - 61*w**2 - 710*w + 347. Give g(-45).\n | -103\n | ibivibiv/math_instruct | |
Let n = -51.7 - -52. Suppose 0 = 2*y + 6*y - 24. Let l = -13 - -38/3. Sort y, l, n in descending order.\n | y, n, l\n | ibivibiv/math_instruct | |
Find l such that -3*l**2 - 17121243*l + 17121246 = 0.\n | -5707082, 1\n | ibivibiv/math_instruct | |
What is 714 minutes after 6:32 AM?\n | 6:26 PM\n | ibivibiv/math_instruct | |
Two letters picked without replacement from aaaaakkaaaakaaaa. Give prob of picking 2 a.\n | 13/20\n | ibivibiv/math_instruct | |
Suppose y - 5*y - 5*b = -31, 0 = -5*b + 15. Sort y, 0, -4, -2 in descending order.\n | y, 0, -2, -4\n | ibivibiv/math_instruct | |
Is 19666920 a multiple of 12?\n | True\n | ibivibiv/math_instruct | |
Let y be 1 + 1 - (-4)/2. Let j be 1 + (y - (-1 + 1)). Suppose 2*z - p - 44 = -j*p, -4*p = -5*z + 68. What is the units digit of z?\n | 6\n | ibivibiv/math_instruct | |
Let d(r) = r**2 + 7*r + 3. Let y be d(-7). Is y*-38*(-4)/8 a composite number?\n | True\n | ibivibiv/math_instruct | |
What is 583 minutes before 6:30 PM?\n | 8:47 AM\n | ibivibiv/math_instruct | |
Let b be (12/8)/((-6)/8). Let o = 16 - b. Is o a multiple of 7?\n | False\n | ibivibiv/math_instruct | |
What are the prime factors of 1205086?\n | 2, 602543\n | ibivibiv/math_instruct | |
Suppose 0 = -40*a + 3470 + 2290. Let k = a - 126. What is the smallest common multiple of 160 and k?\n | 1440\n | ibivibiv/math_instruct | |
Let y(l) = -72*l + 3. Let j be y(-7). Let c = -3 + 7. Suppose c*m = -2787 + j. What is m rounded to the nearest 100?\n | -600\n | ibivibiv/math_instruct | |
Is 87296021 a prime number?\n | False\n | ibivibiv/math_instruct | |
Suppose 0 = -59*j + 39*j - 60. Which is the closest to -1? (a) -4 (b) -5 (c) -14 (d) j\n | d\n | ibivibiv/math_instruct | |
Solve -4911 = 18*z - 5037 for z.\n | 7\n | ibivibiv/math_instruct | |
Let v(r) be the first derivative of r + 244/3*r**3 + 7/2*r**2 + 73. What is the second derivative of v(l) wrt l?\n | 488\n | ibivibiv/math_instruct | |
Find the third derivative of 87*q**6 - 2059*q**4 - q**2 + 2119*q + 24 wrt q.\n | 10440*q**3 - 49416*q\n | ibivibiv/math_instruct | |
Solve 0 = -16*q + 5*q - 11 for q.\n | -1\n | ibivibiv/math_instruct | |
Solve 32 + 0 = -7*j + 228 for j.\n | 28\n | ibivibiv/math_instruct | |
Round 0.00002532316422 to 5 decimal places.\n | 0.00003\n | ibivibiv/math_instruct | |
Let x(h) be the first derivative of h**6/10 - 12*h**5/25 + 9*h**4/10 - 4*h**3/5 + 3*h**2/10 + 10. Factor x(d).\n | 3*d*(d - 1)**4/5\n | ibivibiv/math_instruct | |
What is -0.35451483 rounded to 2 decimal places?\n | -0.35\n | ibivibiv/math_instruct | |
Let f = -0.309028 + 0.4849. Let i = 0.176 - f. Round i to five dps.\n | 0.00013\n | ibivibiv/math_instruct | |
Which is bigger: 136923 or 136921?\n | 136923\n | ibivibiv/math_instruct | |
Suppose 0*l + 40 = -10*l. Let u(v) be the first derivative of -v**4/4 - 2*v**3 - 3*v**2 - v - 1. Calculate u(l).\n | -9\n | ibivibiv/math_instruct | |
What is the result of the following expression?
20.389 % (55.943 - -12.719) | 20.3890 | ibivibiv/math_instruct | |
Rearrange 0*l**2 - 9*l**2 + 6*l**2 to b + h*l**2 + x*l and give h.\n | -3\n | ibivibiv/math_instruct | |
Is 862213133 prime?\n | True\n | ibivibiv/math_instruct | |
Express 0*f - 2*f**2 + 0*f + (4 - 2 - 3)*(0 + 0 + 2*f**2) - 9*f**2 + 0*f + 0*f + (-f + 5*f - 5*f)*(2 - 2 - 2*f) - f**2 - 4 + 4 as u*f**2 + w*f + r and give u.\n | -12\n | ibivibiv/math_instruct | |
Find the third derivative of -3*z**4 + 42180*z**3 - 2*z**2 + 25*z + 463.\n | -72*z + 253080\n | ibivibiv/math_instruct | |
Determine s so that 2/3*s + 2/3*s**2 + 0 = 0.\n | -1, 0\n | ibivibiv/math_instruct | |
Let t(c) = c - 6. Let v be t(8). Let y = 1 + v. What is the common denominator of y/(3*-9)*-201 and 109/10?\n | 30\n | ibivibiv/math_instruct | |
Suppose 0 = 35*y - 39*y + 3772. What is the hundreds digit of 30/(-3) + 8 + 1*y?\n | 9\n | ibivibiv/math_instruct | |
Sum -0.4 and -1.38911718.\n | -1.78911718\n | ibivibiv/math_instruct | |
Write an educational piece suited for college students related to the following text snippet:
"# Hungarian Algorithm with different metric
I have a modified Assignment Problem, that can almost be solved using the Hungarian Algorithm.
Instead of trying to minimize the sum of costs of assignments, I want to minimize th... | The Hungarian Algorithm is a well-known combinatorial optimization method used to solve the assignment problem, which aims to assign a set of agents to a set of tasks while minimizing the total cost. In this context, we will explore a modification of the classic assignment problem, where the goal is to minimize the ma... | ibivibiv/math_instruct | |
What is the cube root of 43890 to the nearest integer?\n | 35\n | ibivibiv/math_instruct | |
What is the value of (13 + (1 - -23) - -1) + (-2 - 11)?\n | 25\n | ibivibiv/math_instruct | |
Expand 2*n**3 + 7*n**3 - 3*n**3 + (2 - 2 - 2*n**3)*(0 + 2 + 0) - 2*n**3 + 5*n**3 + n**3.\n | 6*n**3\n | ibivibiv/math_instruct | |
Round -243.4 to the nearest ten.\n | -240\n | ibivibiv/math_instruct | |
602345 + 11\n | 602356\n | ibivibiv/math_instruct | |
Calculate the smallest common multiple of 21 and 27.\n | 189\n | ibivibiv/math_instruct | |
Simplify (-4*(sqrt(68) - (sqrt(68)*4*-5 + sqrt(68))))**2 + -3*sqrt(68)/(sqrt(576)*-4 + sqrt(576)).\n | sqrt(17)/12 + 435200\n | ibivibiv/math_instruct | |
Solve 79*b + 212 = 47 - 72 for b.\n | -3\n | ibivibiv/math_instruct | |
List the prime factors of 779.\n | 19, 41\n | ibivibiv/math_instruct | |
Simplify (((p*p**(-9)*p)/(p*((p/(p/(p/(p**6*p))))/p)/p))**28)**(36/7) assuming p is positive.\n | 1\n | ibivibiv/math_instruct | |
Let l be 1/1 - (1 - 22). Let x be (l/(-2)*2)/(-1). Suppose 4*k - 14 = x. What is the remainder when k is divided by 5?\n | 4\n | ibivibiv/math_instruct | |
Let q**5/3 + 217*q**4/6 + 470*q**3 + 4438*q**2/3 + 1880*q/3 = 0. What is q?\n | -94, -10, -4, -1/2, 0\n | ibivibiv/math_instruct | |
Divide -3328 by -13.\n | 256\n | ibivibiv/math_instruct | |
Is 17319217 a prime number?\n | False\n | ibivibiv/math_instruct | |
Collect the terms in -451*m**3 + 1149*m**3 + 29*m - 346*m**3.\n | 352*m**3 + 29*m\n | ibivibiv/math_instruct | |
Let p(n) = 3 + 10*n - 27*n + 5 + 7*n + 2*n**2. Let l = 2 + 2. Let d be p(l). Is d smaller than -2/109?\n | False\n | ibivibiv/math_instruct | |
What is the value of (-1770)/(-59)*6*4/30?\n | 24\n | ibivibiv/math_instruct | |
Solve x**3/3 - 81*x**2 - 4084*x/3 - 5180 = 0 for x.\n | -10, -6, 259\n | ibivibiv/math_instruct | |
Let y = 557.2 + -557.4. What is the nearest to 22/9 in -6, 3, y?\n | 3\n | ibivibiv/math_instruct | |
Simplify (((u**(-7)*u)/u**0)/(u*u*(u/(u/(u*(u/(u*u**1))/u*u)*u))/u)**2)/(((u/u**5)/(u*u*u**5))/((u/(u*u**(2/3)))/u)**(-10)) assuming u is positive.\n | u**(65/3)\n | ibivibiv/math_instruct | |
Which is the nearest to 1/3? (a) 172 (b) -5 (c) -1/5 (d) -3\n | c\n | ibivibiv/math_instruct | |
Does 24 divide 4701?\n | False\n | ibivibiv/math_instruct | |
Let r = 21515 + -21342. Calculate the remainder when 509 is divided by r.\n | 163\n | ibivibiv/math_instruct | |
What is the millions digit of 13427077?\n | 3\n | ibivibiv/math_instruct | |
Let t = 160709359.99952 - 160731176. Let y = t - -21810. Let z = -6 - y. What is z rounded to four decimal places?\n | 0.0005\n | ibivibiv/math_instruct | |
Let r(z) = z - 1. Let o be r(1). Let f = 4 - 0. Suppose o = 3*s - 7*s + f. What is the units digit of s?\n | 1\n | ibivibiv/math_instruct | |
Let w(h) be the first derivative of 1601*h**5/5 + 237*h**3 - 1634. Find the third derivative of w(z) wrt z.\n | 38424*z\n | ibivibiv/math_instruct | |
Suppose -246 = -5*f + 274. Does 15 divide f?\n | False\n | ibivibiv/math_instruct | |
Calculate (18/21)/(16/168*-12).\n | -3/4\n | ibivibiv/math_instruct | |
Let r(z) be the second derivative of -z**5/20 - z**4/3 - z**3/3 - 3*z**2/2 + z. Let k be r(-4). Solve k*f + 1 = 2*s, -f + 4*s - 11 = -0*f for f.\n | 1\n | ibivibiv/math_instruct | |
Two letters picked without replacement from {c: 7, u: 1}. What is prob of picking 1 c and 1 u?\n | 1/4\n | ibivibiv/math_instruct | |
Let d(j) = -2*j**2. Suppose 0 = r + 5*s + 5, -3*s + 13 = 4*r - 1. Let c(v) = v - r + v + 5. Give d(c(t)).\n | -8*t**2\n | ibivibiv/math_instruct | |
What is the units digit of 3748?\n | 8\n | ibivibiv/math_instruct | |
Convert 33c (base 16) to base 3.\n | 1010200\n | ibivibiv/math_instruct | |
What is 511518.2 meters in centimeters?\n | 51151820\n | ibivibiv/math_instruct | |
Let d(k) = 8*k + 23. Let y be d(-5). What is the remainder when (5 - 0) + y + 106 is divided by 6?\n | 4\n | ibivibiv/math_instruct | |
Suppose 2*r = -0*r + 8. Suppose 5*c + y - 21 = 0, -3*y - y + r = 0. Let w(k) be the second derivative of k**3/6 + 2*k**2 - k. What is w(c)?\n | 8\n | ibivibiv/math_instruct | |
How many meters are there in seven halves of a kilometer?\n | 3500\n | ibivibiv/math_instruct | |
Let j = 0.17 - -0.33. Which is the closest to -0.1? (a) 2 (b) j (c) 0.1\n | c\n | ibivibiv/math_instruct | |
Sort 191712/7, 2, -1/59, 1/6 in decreasing order.\n | 191712/7, 2, 1/6, -1/59\n | ibivibiv/math_instruct | |
Round 2.684 to 1 decimal place.\n | 2.7\n | ibivibiv/math_instruct | |
What is -5912256 divided by -32?\n | 184758\n | ibivibiv/math_instruct | |
Divide -568 by -284.\n | 2\n | ibivibiv/math_instruct | |
Let b(g) = -g**2 + 3*g + 13. Suppose 373 = -3*t + 5*r, 3*t + 149 = -5*r - 174. Let x = t + 122. Determine b(x).\n | -5\n | ibivibiv/math_instruct | |
Suppose -105*x + 72 = -103*x. What is the greatest common divisor of 204 and x?\n | 12\n | ibivibiv/math_instruct | |
Solve -g + 2*l - 11 = 0, 5*g - 4*g = 3*l - 16 for g.\n | -1\n | ibivibiv/math_instruct | |
Expand (-b**2 - b**2 + b**2)*(-1 + 2 - b - 32).\n | b**3 + 31*b**2\n | ibivibiv/math_instruct | |
What is 163572 to the power of 1/6, to the nearest integer?\n | 7\n | ibivibiv/math_instruct | |
Let c(z) = z**2 + 5*z - 2. Let w be c(3). Let k = -20 + w. Suppose 0 = -k*y - y - 9. Find the common denominator of 8/7 and y.\n | 7\n | ibivibiv/math_instruct | |
Let w(i) be the second derivative of i**8/57120 + i**7/21420 - i**4/2 + 2*i**2 + i + 12. Let u(g) be the third derivative of w(g). What is o in u(o) = 0?\n | -1, 0\n | ibivibiv/math_instruct | |
What comes next: -13, -28, -45, -64, -85, -108?\n | -133\n | ibivibiv/math_instruct | |
Find the second derivative of -4*p*y**3 + 20*p*y**2 - 1947*p*y + 4*y**4 + 2*y**2 + 5*y wrt y.\n | -24*p*y + 40*p + 48*y**2 + 4\n | ibivibiv/math_instruct | |
What is the greatest common divisor of 59087 and 483?\n | 161\n | ibivibiv/math_instruct | |
Put -0.5, -4789, 15 in ascending order.\n | -4789, -0.5, 15\n | ibivibiv/math_instruct | |
Suppose 0 = 3*y + 30 + 39. Let b = y - -37. Calculate the remainder when b is divided by 4.\n | 2\n | ibivibiv/math_instruct | |
Suppose -6*t + 4 = -7*t, -4*s + 3*t = -168. Let h(r) = r**2 - 2*r - 8. Let q be h(-6). Do s and q have the same value?\n | False\n | ibivibiv/math_instruct | |
Which is the nearest to 3? (a) -3 (b) 42 (c) 2.23 (d) -248/9 (e) -1\n | c\n | ibivibiv/math_instruct | |
Sort -17990, -4, -23 in ascending order.\n | -17990, -23, -4\n | ibivibiv/math_instruct |
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