instruction_seed stringlengths 5 2.9k | response_seed stringlengths 3 9.55k | input stringclasses 1
value | _source stringclasses 1
value |
|---|---|---|---|
Suppose -6*a + 59 = 23. Let h(x) = x**3 - 6*x**2 + 4*x - 2. List the prime factors of h(a).\n | 2, 11\n | ibivibiv/math_instruct | |
What is the seventh root of 52260 to the nearest integer?\n | 5\n | ibivibiv/math_instruct | |
Collect the terms in -95 - 821 + 93 + 25*t - 116.\n | 25*t - 939\n | ibivibiv/math_instruct | |
Evaluate ((-24)/9)/(-2)*(-144)/(-224).\n | 6/7\n | ibivibiv/math_instruct | |
Is 1350 a multiple of 25?\n | True\n | ibivibiv/math_instruct | |
Is -1 < 40/229?\n | True\n | ibivibiv/math_instruct | |
Suppose 0 = -2*a - 10, 0 = -3*d + 12*a - 7*a + 100. What is the remainder when d is divided by 8?\n | 1\n | ibivibiv/math_instruct | |
What is the third root of 466 to the nearest integer?\n | 8\n | ibivibiv/math_instruct | |
What is the next term in 15564, 15541, 15500, 15435, 15340, 15209, 15036?\n | 14815\n | ibivibiv/math_instruct | |
In base 5, what is 13310014 - 10?\n | 13310004\n | ibivibiv/math_instruct | |
What is the nearest to 36 in 4, -5, 93, -3/7, 3/5?\n | 4\n | ibivibiv/math_instruct | |
Calculate the least common multiple of 3720 and 6.\n | 3720\n | ibivibiv/math_instruct | |
Factor 3*t**2 - 63*t + 162.\n | 3*(t - 18)*(t - 3)\n | ibivibiv/math_instruct | |
Let k = -148 - -738/5. Which is the second biggest value? (a) k (b) 0.1 (c) -32\n | a\n | ibivibiv/math_instruct | |
Factor 1413/4 - 3/4*c**2 + 705/2*c.\n | -3*(c - 471)*(c + 1)/4\n | ibivibiv/math_instruct | |
Let i be 9/12 + -2 - 29/(-4). Let w be -4*2*(-3)/i*-70. What is w rounded to the nearest one hundred?\n | -300\n | ibivibiv/math_instruct | |
Let c be 0 + 2 - (5 - -7). Calculate the common denominator of 94/15 and (1 - (-33)/c)/4.\n | 120\n | ibivibiv/math_instruct | |
Suppose 922*p = 906*p + 20320. Calculate the lowest common multiple of 120 and p.\n | 15240\n | ibivibiv/math_instruct | |
Expand 4*i**5 + i**5 - 6*i**5 + (3*i + 0*i - i)*(-4*i**4 - i**4 + 4*i**4) + 0*i**5 - 5*i**5 - 4*i**5 + 2*i**5 - 6*i**5 + 3*i**5.\n | -13*i**5\n | ibivibiv/math_instruct | |
What is the highest common divisor of 24 and 5064?\n | 24\n | ibivibiv/math_instruct | |
Let t = 66 + -36. Let s = t + -30.3. Which is the biggest value? (a) s (b) 4 (c) 1\n | b\n | ibivibiv/math_instruct | |
Suppose -m + 2*w - 8 = 0, 8*m - 5*m - 5*w + 21 = 0. Let n(z) be the second derivative of -z**5/20 - z**4/12 + z**2/2 - 3*z. Calculate n(m).\n | 5\n | ibivibiv/math_instruct | |
What is 1740 to the power of 1/2, to the nearest integer?\n | 42\n | ibivibiv/math_instruct | |
Product of 34.4 and -64.33.\n | -2212.952\n | ibivibiv/math_instruct | |
What is the hundreds digit of 7213?\n | 2\n | ibivibiv/math_instruct | |
What is seven eighths of a litre in millilitres?\n | 875\n | ibivibiv/math_instruct | |
What is the highest common factor of 7599 and 255?\n | 51\n | ibivibiv/math_instruct | |
Expand (4*g**3 + g**3 + 3*g**3)*((-3 + 9 - 1)*(-11*g + 13 - 13) + 2*g + 1 - 1).\n | -424*g**4\n | ibivibiv/math_instruct | |
Convert 4.147053 nanograms to kilograms.\n | 0.000000000004147053\n | ibivibiv/math_instruct | |
Suppose -20 = 6*k + 238. Let w be (-5)/10*2 - k. Suppose -282 - w = -2*b. Does 24 divide b?\n | False\n | ibivibiv/math_instruct | |
Sort 1, 3255, 0, 460, -1 in increasing order.\n | -1, 0, 1, 460, 3255\n | ibivibiv/math_instruct | |
20 (base 13) to base 3\n | 222\n | ibivibiv/math_instruct | |
Expand (-119 - 186 + 364)*(-2 - 2*x + 2).\n | -118*x\n | ibivibiv/math_instruct | |
What is -36 times -502.5?\n | 18090\n | ibivibiv/math_instruct | |
What is the highest common factor of 3287 and 232339?\n | 173\n | ibivibiv/math_instruct | |
What is -4 (base 9) in base 7?\n | -4\n | ibivibiv/math_instruct | |
Rearrange 3*f**2 - 2*f**3 - f**3 + 41906*f - 41908*f - 1 to the form n*f + g*f**2 + y + t*f**3 and give n.\n | -2\n | ibivibiv/math_instruct | |
Let t(i) be the second derivative of -i**5/20 - 7*i**4/12 + i**3/3 - i**2 - 3406*i. Let m be 2/(-4) - 91/14. Determine t(m).\n | -16\n | ibivibiv/math_instruct | |
What is the lowest common multiple of 6 and 31/2 + (-17)/34?\n | 30\n | ibivibiv/math_instruct | |
What is the third root of 49383 to the nearest integer?\n | 37\n | ibivibiv/math_instruct | |
Suppose a = 5*a + 4. Let w be 18/260*a/(-12). Let c = w - -5959/3640. What is the common denominator of c and -143/24?\n | 168\n | ibivibiv/math_instruct | |
Let p = -77.8 + 0.8. Suppose 0 = 6*u + 3*n - 9, -3*u + n - 4424 = -4396. Which is the smallest value? (a) 2 (b) u (c) p\n | c\n | ibivibiv/math_instruct | |
Calculate prob of sequence rf when two letters picked without replacement from ffpprffpzxf.\n | 1/22\n | ibivibiv/math_instruct | |
What comes next: -31992, -63988, -95984, -127980?\n | -159976\n | ibivibiv/math_instruct | |
Solve -s = 4*t + 21, t = -43*s + 44*s - 4 for s.\n | -1\n | ibivibiv/math_instruct | |
Suppose 0 = -8*d + 4*d. Suppose 0 = -2*c - 4*u - 4, 3*c - u - 2 = u. Suppose c*x = x. Solve d*m + 5*m + 20 = x for m.\n | -4\n | ibivibiv/math_instruct | |
What are the prime factors of 57743507?\n | 57743507\n | ibivibiv/math_instruct | |
What is the highest common factor of 1793 and 16578893?\n | 163\n | ibivibiv/math_instruct | |
Suppose -5*y + 19 = -6. Suppose 0 - y = -b. Suppose -6 + 1 = b*q, 4*n - 2 = 2*q. Solve w + 2*w - 12 = n for w.\n | 4\n | ibivibiv/math_instruct | |
Let w be (-1 + -187)/(3 - 1). Let j = w + 468/5. Let n(l) = -l**2 - 4*l - 4. Let m be n(-3). Is j not equal to m?\n | True\n | ibivibiv/math_instruct | |
Let f(x) = x**2 + x. Let h be f(0). Solve -6*s + 3*s + 3 = h for s.\n | 1\n | ibivibiv/math_instruct | |
In base 11, what is -23 + -4?\n | -27\n | ibivibiv/math_instruct | |
In base 15, what is 12 - -72006?\n | 72018\n | ibivibiv/math_instruct | |
Let f = 90.1 - 95. Let p = f - -0.9. Let g be (-34)/12 - (-1520)/285. Which is the fourth smallest value? (a) 0.1 (b) 4 (c) g (d) p\n | b\n | ibivibiv/math_instruct | |
What is the third root of 737067 to the nearest integer?\n | 90\n | ibivibiv/math_instruct | |
Suppose 14*t + 8 = 18*t. Suppose -t*m + 8*m = 18. Suppose 0 = m*q - u - 488, -2*q = u - 0*u - 317. Is q a composite number?\n | True\n | ibivibiv/math_instruct | |
What is the ten thousands digit of 864620798?\n | 2\n | ibivibiv/math_instruct | |
What is the square root of 1856 to the nearest integer?\n | 43\n | ibivibiv/math_instruct | |
Let t(j) = -24*j**2 - 12*j - 12. Let l(h) = -h**2 - h - 1. Suppose -19*k + 154 + 138 - 64 = 0. What is k*l(z) - t(z)?\n | 12*z**2\n | ibivibiv/math_instruct | |
Solve -7*p - 22*n + 40*n - 13*n + 255 = -42*p, 4*p - n = 51 for p.\n | 0\n | ibivibiv/math_instruct | |
-186d (base 15) to base 8\n | -12236\n | ibivibiv/math_instruct | |
Let r = -6 - -1. Let g = r - 8. Let v be 4/10 - g/5. Which is the biggest value? (a) 5 (b) 1/7 (c) v\n | a\n | ibivibiv/math_instruct | |
Collect the terms in -7181*t - 13*t**3 + 7181*t + 38*t**3.\n | 25*t**3\n | ibivibiv/math_instruct | |
b"What is the qth term of -182, -402, -752, -1220, -1794, -2462, -3212?\n" | 2*q**3 - 77*q**2 - 3*q - 104\n | ibivibiv/math_instruct | |
Expand (0 + 0 + 2*u**2)*(-2 - 1 + 2)*(-4 + 3*u + 5 + u).\n | -8*u**3 - 2*u**2\n | ibivibiv/math_instruct | |
Let f = 0.15 + -44.65. Let x = 44 + f. What is the nearest to 2 in -1, 2/15, x?\n | 2/15\n | ibivibiv/math_instruct | |
b"What is the lth term of 8765, 26367, 55701, 96773, 149589, 214155, 290477, 378561?\n" | l**3 + 5860*l**2 + 15*l + 2889\n | ibivibiv/math_instruct | |
Is 404941 composite?\n | False\n | ibivibiv/math_instruct | |
What is the value of (-2)/(44/113) + 4408/(-12122)?\n | -11/2\n | ibivibiv/math_instruct | |
Is 224553 greater than or equal to -0.2?\n | True\n | ibivibiv/math_instruct | |
Let r(p) = 8*p**2 - 8*p - 9. Is r(8) even?\n | False\n | ibivibiv/math_instruct | |
Suppose -30*d = 15491 - 63521. List the prime factors of d.\n | 1601\n | ibivibiv/math_instruct | |
Calculate prob of sequence mmm when three letters picked without replacement from umuumrqmmmqmuuurmm.\n | 7/102\n | ibivibiv/math_instruct | |
What is next in -23114970, -92459880, -208034730, -369839520, -577874250?\n | -832138920\n | ibivibiv/math_instruct | |
Suppose 0 = -3*g + 26*g - 1909. Suppose -74*v = -g*v + 6849. List the prime factors of v.\n | 761\n | ibivibiv/math_instruct | |
Simplify (c**(-15)*c**(7/2))/(c*c/c**(-1)*c**(-4)) assuming c is positive.\n | c**(-21/2)\n | ibivibiv/math_instruct | |
How many meters are there in 43/4 of a kilometer?\n | 10750\n | ibivibiv/math_instruct | |
What is next in -15, -64, -143, -252, -391?\n | -560\n | ibivibiv/math_instruct | |
In base 13, what is 464 - -1a?\n | 481\n | ibivibiv/math_instruct | |
Let p = 315 - 1240. Let y = -630 - p. Round y to the nearest one hundred.\n | 300\n | ibivibiv/math_instruct | |
Let t = -28 - -19. Suppose 164*i + 19850 = 109*i - 1930*i. Is i < t?\n | True\n | ibivibiv/math_instruct | |
Let a(l) be the second derivative of 29*l**4/6 - 5*l**3/3 - l**2 + 2*l. Let f be a(-7). Let b = 10 - f. Round b to the nearest 1000.\n | -3000\n | ibivibiv/math_instruct | |
What is the hundreds digit of 744?\n | 7\n | ibivibiv/math_instruct | |
-70973*-862\n | 61178726\n | ibivibiv/math_instruct | |
Which is the closest to 0.1? (a) -5 (b) -3/8 (c) 3 (d) -1/6\n | d\n | ibivibiv/math_instruct | |
Solve -30*m - 1250 - 473 = -343 for m.\n | -46\n | ibivibiv/math_instruct | |
Let q be ((-5)/(-15))/(1/69). Suppose 0 = 5*o - 2 - q. Suppose -5*t**5 - t**3 + 5*t**5 + 2*t**4 - t**o = 0. What is t?\n | 0, 1\n | ibivibiv/math_instruct | |
Simplify (-5*(sqrt(85) + (sqrt(85) - 1*sqrt(85)*4)))/(sqrt(605) - 2*(sqrt(605) + sqrt(605)*2 + sqrt(605))).\n | -10*sqrt(17)/77\n | ibivibiv/math_instruct | |
Solve 0 = 4*u + 3*r - 216, 1631*u - 4*r + 269 = 1630*u for u.\n | 3\n | ibivibiv/math_instruct | |
Suppose -2*j + 101 = -3*q, -7 - 40 = -j + 5*q. What is the remainder when j/2 + -6 + 5 is divided by 9?\n | 7\n | ibivibiv/math_instruct | |
Solve -2*a = -3*r - 22, -5*a - 26 = -5*r + 11*r for r.\n | -6\n | ibivibiv/math_instruct | |
What is next in 1120, 906, 694, 484?\n | 276\n | ibivibiv/math_instruct | |
What is prob of picking 2 g when two letters picked without replacement from {f: 7, g: 2, c: 5}?\n | 1/91\n | ibivibiv/math_instruct | |
What is the greatest common factor of 22 and 22418?\n | 22\n | ibivibiv/math_instruct | |
Does 15 divide 1582?\n | False\n | ibivibiv/math_instruct | |
b"What is the gth term of 810619, 1621202, 2431723, 3242152, 4052459?\n" | -5*g**3 - g**2 + 810621*g + 4\n | ibivibiv/math_instruct | |
What is 0.00000037494 rounded to seven decimal places?\n | 0.0000004\n | ibivibiv/math_instruct | |
Suppose 12*a - 10 = 13*a. Let l be (-22)/a + (-1)/5. Solve -l*y + 2 = -3*y for y.\n | -2\n | ibivibiv/math_instruct | |
Let c be 2*5 - (12 + -8). Let z(w) = -w**2 + 7*w - 3. Let f be z(c). Suppose 0 = -2*b + f*b + 3*r + 6, 2*r = 3*b - 15. Let x(p) = -5*p + 4. Determine x(b).\n | -11\n | ibivibiv/math_instruct | |
What is -30 plus -4522329857?\n | -4522329887\n | ibivibiv/math_instruct |
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