instruction_seed stringlengths 5 2.9k | response_seed stringlengths 3 9.55k | input stringclasses 1
value | _source stringclasses 1
value |
|---|---|---|---|
Suppose 3*a = 2*q - 259, -3*q = -7*q - 2*a + 542. Let c = -134 + q. Suppose l - 3 = c, 2*f - 4*l + 61 = 951. Is f a composite number?\n | True\n | ibivibiv/math_instruct | |
What is the value of (2 - (5 - 11)) + -4 + 3?\n | 7\n | ibivibiv/math_instruct | |
Let f be -37 - (-3 + 0 + 5). Let s = 51 + f. What are the prime factors of s?\n | 2, 3\n | ibivibiv/math_instruct | |
(-11)/(-4) + (-13764)/1488\n | -13/2\n | ibivibiv/math_instruct | |
What is the remainder when 13 is divided by 4/(-2*5/(-5))?\n | 1\n | ibivibiv/math_instruct | |
Sort 95, 5, -0.145 in descending order.\n | 95, 5, -0.145\n | ibivibiv/math_instruct | |
What is 711 to the power of 1/2, to the nearest integer?\n | 27\n | ibivibiv/math_instruct | |
-3+204239\n | 204236\n | ibivibiv/math_instruct | |
Let p = -39 + 14. Let i = 1 - p. What is the tens digit of i?\n | 2\n | ibivibiv/math_instruct | |
What is the derivative of -188*u*x - 16*x + 3 wrt u?\n | -188*x\n | ibivibiv/math_instruct | |
b"What is the pth term of 50, 185, 410, 725, 1130, 1625, 2210?\n" | 45*p**2 + 5\n | ibivibiv/math_instruct | |
Solve 4*v = -5*t - 7, 3*v - 4*t = 82 - 64 for v.\n | 2\n | ibivibiv/math_instruct | |
Factor 4*b**3 - 32*b**2 + 64*b.\n | 4*b*(b - 4)**2\n | ibivibiv/math_instruct | |
Let n(a) = -9 + 4*a - 5*a - 3*a. Let m(z) = -3*z + 3*z + 4 + 2*z. Give -7*m(b) - 3*n(b).\n | -2*b - 1\n | ibivibiv/math_instruct | |
What is the thousands digit of 2332?\n | 2\n | ibivibiv/math_instruct | |
What is ((-1419)/(-86))/(-11)*(-44)/6?\n | 11\n | ibivibiv/math_instruct | |
What is the fourth biggest value in 2/5, -4, 8.87, 0.04, 4/3?\n | 0.04\n | ibivibiv/math_instruct | |
What is the tens digit of 55477?\n | 7\n | ibivibiv/math_instruct | |
In one month in the Smith house, Kylie uses 3 bath towels, her 2 daughters use a total of 6 bath towels, and her husband uses a total of x bath towels. If the washing machine can fit 4 bath towels for one load of laundry, how many loads of laundry will the Smiths need to do to clean all of their used towels?
If we know... | Kylie uses 3 bath towels in one month.
Her 2 daughters use a total of 6 bath towels in one month.
Her husband uses a total of x bath towels in one month.
The total number of bath towels used in one month is the sum of Kylie's, her daughters', and her husbands bath towels: 3 + 6 + x = 9 + x.
We are given that the number... | ibivibiv/math_instruct | |
Which is the closest to -6? (a) 0.16 (b) 0.2 (c) -8588\n | a\n | ibivibiv/math_instruct | |
Evaluate -1 - -1 - 0 - -1.\n | 1\n | ibivibiv/math_instruct | |
Let q(h) = 4*h**3 + 2*h - 5 + 6 + 3*h**2 + 2. Let r(n) = n**3 + n**2 + 1. What is -q(t) + 3*r(t)?\n | -t**3 - 2*t\n | ibivibiv/math_instruct | |
What is next in -526, -1261, -2106, -3061, -4126?\n | -5301\n | ibivibiv/math_instruct | |
Let r(s) = s**2 - 18*s + 25. Let y be r(9). Let j = y - -68. Calculate the lowest common multiple of 24 and j.\n | 24\n | ibivibiv/math_instruct | |
Calculate (-178)/4 - (-51 + (-3131)/(-62)).\n | -44\n | ibivibiv/math_instruct | |
Simplify ((((j*j**5)/j)/j)/j)**23*(j**(1/3)*j)**(18/11) assuming j is positive.\n | j**(783/11)\n | ibivibiv/math_instruct | |
Let k(i) = -126*i + 1. List the prime factors of k(-1).\n | 127\n | ibivibiv/math_instruct | |
Let j(s) be the second derivative of -67*s**3/6 + 2*s**2 + 2704*s. Let w(n) = -3*n**2. Give j(w(a)).\n | 201*a**2 + 4\n | ibivibiv/math_instruct | |
Find the second derivative of -12*p**5 - 5*p**4 + 1814*p**2 + 979873*p + 2.\n | -240*p**3 - 60*p**2 + 3628\n | ibivibiv/math_instruct | |
Let k be (-2)/(-8)*(-208)/91. Let r = 0.1 - 0.1. Sort -3, k, r in descending order.\n | r, k, -3\n | ibivibiv/math_instruct | |
Suppose -4*p - z + 3 + 15 = 0, z - 22 = -5*p. Suppose -3*f + 0*f - 64 = -5*g, -p*g + f = -54. What is the units digit of g?\n | 4\n | ibivibiv/math_instruct | |
Suppose -16 = -2*s - 2*s. Suppose -1 = -2*y + 1, -s*x + 16 = 4*y. Solve 0 = 5*a - x*a for a.\n | 0\n | ibivibiv/math_instruct | |
What is the remainder when -1 - (1611/(-27) - (-4)/(-12)) is divided by 23 - (-1 - 3/(-1))?\n | 17\n | ibivibiv/math_instruct | |
5 + (2 - (0 + -4)) + -5\n | 6\n | ibivibiv/math_instruct | |
Suppose 3*u = -5*i + 23, u + 4*u = -5*i + 25. Solve -11 = i*l + 3*f, 0 = -l + f - 3*f + 1 for l.\n | -5\n | ibivibiv/math_instruct | |
Suppose -12*a + 501 = -33 - 222. What is the greatest common factor of 279 and a?\n | 9\n | ibivibiv/math_instruct | |
Suppose 15*q**2 + 962856*q + 1347969 = 0. Calculate q.\n | -64189, -7/5\n | ibivibiv/math_instruct | |
Suppose 4*k = -2*u + 14, -k + 5*u = k + 23. Let x = 7 - 13. Let w = x - -4. Which is the closest to k? (a) 5/2 (b) -5 (c) w\n | a\n | ibivibiv/math_instruct | |
Sort 5, -1, 323 in ascending order.\n | -1, 5, 323\n | ibivibiv/math_instruct | |
Let o(w) = 13 - 4*w + 1 + 3*w. Give o(8).\n | 6\n | ibivibiv/math_instruct | |
What is 1812 divided by 453?\n | 4\n | ibivibiv/math_instruct | |
List the prime factors of 29041689.\n | 3, 2129, 4547\n | ibivibiv/math_instruct | |
Is 7309 prime?\n | True\n | ibivibiv/math_instruct | |
Is 30335 prime?\n | False\n | ibivibiv/math_instruct | |
Collect the terms in -5 + 0 + 116*y**2 + 5.\n | 116*y**2\n | ibivibiv/math_instruct | |
Suppose -53*t = -52*t - 18. Suppose 23*a - 995 = t*a. Is a a prime number?\n | True\n | ibivibiv/math_instruct | |
Let j = 2 + -4. Suppose 0 = 2*x - 13*x. Which is the second biggest value? (a) 3 (b) x (c) j\n | b\n | ibivibiv/math_instruct | |
Let q(r) = r**2. Let b(w) be the third derivative of w**5/20 + 30*w**2. Give q(b(l)).\n | 9*l**4\n | ibivibiv/math_instruct | |
Let b = 283 - 435. Let u = b - -596. What are the prime factors of u?\n | 2, 3, 37\n | ibivibiv/math_instruct | |
What is 158 minutes before 3:14 PM?\n | 12:36 PM\n | ibivibiv/math_instruct | |
Let f = 56 + -48. Is f a multiple of 5?\n | False\n | ibivibiv/math_instruct | |
Suppose 3*w + y + 39 - 74 = 0, 0 = -3*w + 5*y - 13. Solve -20*t = -w*t for t.\n | 0\n | ibivibiv/math_instruct | |
Is 15493 a composite number?\n | False\n | ibivibiv/math_instruct | |
Solve -423 + 7604 = -275*w - 244 for w.\n | -27\n | ibivibiv/math_instruct | |
Let k(o) = -o**3 - 3*o**2 - o + 4. Let u(p) = -30*p**2 + 185*p - 151. What is the remainder when k(-4) is divided by u(5)?\n | 0\n | ibivibiv/math_instruct | |
Solve -2*i**5/5 + 202*i**4/5 - 7238*i**3/5 + 106798*i**2/5 - 102592*i - 125440 = 0.\n | -1, 16, 35\n | ibivibiv/math_instruct | |
What is the fourth root of 353829 to the nearest integer?\n | 24\n | ibivibiv/math_instruct | |
Let c(d) = -2*d**3 - 13*d**2 + 470*d + 3579. What is c(-8)?\n | 11\n | ibivibiv/math_instruct | |
Calculate the remainder when 755849 is divided by 183.\n | 59\n | ibivibiv/math_instruct | |
What is -108.401223 rounded to the nearest ten?\n | -110\n | ibivibiv/math_instruct | |
Divide -223524 by 2.\n | -111762\n | ibivibiv/math_instruct | |
Simplify (-4*(sqrt(76)*-2*-5 + sqrt(76) - sqrt(76) - sqrt(76))*-2)/((-2*sqrt(128)*-3)/sqrt(8)).\n | 6*sqrt(19)\n | ibivibiv/math_instruct | |
What is the ten thousands digit of 1219125037?\n | 2\n | ibivibiv/math_instruct | |
Let k(r) be the second derivative of 3*r**7/14 - 19*r**6/30 - 5*r**5/4 + 13*r**4/4 + 16*r**3/3 - 2*r**2 + 8283*r. Let k(u) = 0. What is u?\n | -1, 1/9, 2\n | ibivibiv/math_instruct | |
Let n = -12724 + 101801/8. Factor 0 - 3/8*q**2 + 0*q + 3/8*q**5 + 9/8*q**3 - n*q**4.\n | 3*q**2*(q - 1)**3/8\n | ibivibiv/math_instruct | |
Let t = -6020 - 709. Let n = -4170 - t. Is n a composite number?\n | True\n | ibivibiv/math_instruct | |
Let o(w) = w**3 + 12*w**2 - 9*w - 52. Let g be o(-12). Is g <= 612/11?\n | False\n | ibivibiv/math_instruct | |
Simplify (6*sqrt(36)*2)/((sqrt(540)*-1)/sqrt(5)).\n | -4*sqrt(3)\n | ibivibiv/math_instruct | |
Express 5162*h**2 + 675*h**2 + 30465*h**2 in the form k*h**2 + s*h + m and give k.\n | 36302\n | ibivibiv/math_instruct | |
Solve 31 = 76*t - 45 for t.\n | 1\n | ibivibiv/math_instruct | |
What is the nearest to 7 in 3/4, -2/71, -1/2?\n | 3/4\n | ibivibiv/math_instruct | |
What is the ten thousands digit of 104390?\n | 0\n | ibivibiv/math_instruct | |
List the prime factors of 1605.\n | 3, 5, 107\n | ibivibiv/math_instruct | |
Let y(r) = r**3 + 33*r**2 - 483*r - 14458. What is y(-35)?\n | -3\n | ibivibiv/math_instruct | |
What is the third root of 1950572760 to the nearest integer?\n | 1249\n | ibivibiv/math_instruct | |
29 (base 10) to base 12\n | 25\n | ibivibiv/math_instruct | |
Let p be (-1)/(-1 - (-44)/46) - 2. Suppose -63 = -p*u - 0*u. Solve -5*v + 4*v = -u for v.\n | 3\n | ibivibiv/math_instruct | |
Suppose 3*h - 7 - 38 = 0. Solve -2*d = d + h for d.\n | -5\n | ibivibiv/math_instruct | |
Let k be 8/(-12) + 26/3. What is the lowest common multiple of 2/k - (-62)/8 and (4 - -3)/(2/4)?\n | 56\n | ibivibiv/math_instruct | |
What is the hundreds digit of 3541?\n | 5\n | ibivibiv/math_instruct | |
Let h(o) = 2*o**3 + 5*o**2 - 730. Let x(j) = 2*j**3 + 6*j**2 - 732. Calculate -6*h(q) + 5*x(q).\n | -2*q**3 + 720\n | ibivibiv/math_instruct | |
Suppose 1 = -h + 4*q, -9 - 38 = -3*h + 2*q. What is the highest common factor of h and 437?\n | 19\n | ibivibiv/math_instruct | |
Express -22 + 2*u**4 + 29*u**2 + 24 + 853*u**3 - 853*u**3 in the form w*u**3 + o*u**2 + t*u + j + m*u**4 and give j.\n | 2\n | ibivibiv/math_instruct | |
What is 3/8 of a kilometer in meters?\n | 375\n | ibivibiv/math_instruct | |
Calculate 416235618 divided by -3.\n | -138745206\n | ibivibiv/math_instruct | |
Collect the terms in 30419*x - 15214*x - 15209*x.\n | -4*x\n | ibivibiv/math_instruct | |
What is the tenth root of 14460 to the nearest integer?\n | 3\n | ibivibiv/math_instruct | |
Suppose -135*p + 129*p = 0. Factor p - 2/9*w**4 + 0*w**2 - 4/9*w**3 + 0*w.\n | -2*w**3*(w + 2)/9\n | ibivibiv/math_instruct | |
Differentiate -201*a**2*o - a**2 + 522*o with respect to a.\n | -402*a*o - 2*a\n | ibivibiv/math_instruct | |
What are the prime factors of 133637?\n | 7, 17, 1123\n | ibivibiv/math_instruct | |
(50/(-30))/((-1)/(9/3))\n | 5\n | ibivibiv/math_instruct | |
Express -15*u**2 + 8*u**2 - 2*u + 8*u**2 - 4*u**3 in the form a + b*u + h*u**2 + j*u**3 and give b.\n | -2\n | ibivibiv/math_instruct | |
Calculate the least common multiple of 43056 and 179400.\n | 1076400\n | ibivibiv/math_instruct | |
List the prime factors of 337880718.\n | 2, 3, 7, 23, 31, 3761\n | ibivibiv/math_instruct | |
4 - ((-72)/45 + 6)\n | -2/5\n | ibivibiv/math_instruct | |
What is 146463515 to the power of 1/3, to the nearest integer?\n | 527\n | ibivibiv/math_instruct | |
Convert 6207858.72 minutes to weeks.\n | 615.859\n | ibivibiv/math_instruct | |
Add 1 and -0.0930478768.\n | 0.9069521232\n | ibivibiv/math_instruct | |
What is the units digit of 133297?\n | 7\n | ibivibiv/math_instruct | |
Factor -2*a**3/3 - 46*a**2/3 + 16*a.\n | -2*a*(a - 1)*(a + 24)/3\n | ibivibiv/math_instruct |
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