instruction_seed stringlengths 5 2.9k | response_seed stringlengths 3 9.55k | input stringclasses 1
value | _source stringclasses 1
value |
|---|---|---|---|
What is the third derivative of -5795703*d**4 - 71*d**2 + 52488*d - 3 wrt d?\n | -139096872*d\n | ibivibiv/math_instruct | |
Find the common denominator of 1/7*2929/(-812) and 57/20.\n | 980\n | ibivibiv/math_instruct | |
Solve 30 = -100*o + 106*o for o.\n | 5\n | ibivibiv/math_instruct | |
Evaluate (-37 - -4) + 33 - (-31 - 3).\n | 34\n | ibivibiv/math_instruct | |
What is the second derivative of 111271447*w**3 + 5*w - 356839?\n | 667628682*w\n | ibivibiv/math_instruct | |
What is the highest common factor of 249 and 3652?\n | 83\n | ibivibiv/math_instruct | |
Suppose -4*v + 66 = -14. Suppose 3*u = 2*u + v. Suppose -4 = -k - 0*k. What is the lowest common multiple of u and k?\n | 20\n | ibivibiv/math_instruct | |
Jennas doctor tells her that she should tan no more than 200 minutes a month. If she tans 30 minutes a day, two days a week for the first two weeks of the month, how many minutes can she tan in the last two weeks of the month? | Jenna tans for 30 minutes a day, two days a week, so she tans for a total of 30 x 2 = 60 minutes per week.
For the first two weeks of the month, she tans for a total of 60 x 2 = 120 minutes.
Since she can tan no more than 200 minutes a month, she has 200 - 120 = 80 minutes left to tan in the last two weeks of the month... | ibivibiv/math_instruct | |
Expand ((13*j**2 + 8*j**2 - 5*j**2)*(2 - 2 - j) + 4*j**3 - 2*j**3 - 17*j**3)*(-9*j**2 - 4 + 4).\n | 279*j**5\n | ibivibiv/math_instruct | |
What is the closest to -1 in -4, 4, -1.4, -0.5?\n | -1.4\n | ibivibiv/math_instruct | |
Let w(k) = 6*k + 10. Calculate w(-7).\n | -32\n | ibivibiv/math_instruct | |
Let z be (-134)/603 + (-25)/9. Let o be 0/z + 3*(-36)/(-27). Solve 3*l - 26 = l + o*r, -3*l - r = -11 for l.\n | 5\n | ibivibiv/math_instruct | |
Let i(x) = 15*x + 144. Calculate i(0).\n | 144\n | ibivibiv/math_instruct | |
What is 8912705 to the power of 1/2, to the nearest integer?\n | 2985\n | ibivibiv/math_instruct | |
Let y(a) = 58 + a - 40*a - 32. Is y(-7) a composite number?\n | True\n | ibivibiv/math_instruct | |
What is -6.588 - 14?\n | -20.588\n | ibivibiv/math_instruct | |
Let t(j) = 185*j - 173. Let k be t(1). Let n(v) = -v**3 + 6*v**2 - 5*v - 2. Let z be n(4). Let o = 8 + z. What is the greatest common factor of k and o?\n | 6\n | ibivibiv/math_instruct | |
What is the nearest to -6 in 0, 0.5, 25.8634?\n | 0\n | ibivibiv/math_instruct | |
Round 3035580 to the nearest ten thousand.\n | 3040000\n | ibivibiv/math_instruct | |
Four letters picked without replacement from {a: 5, t: 1, x: 3, e: 3, u: 1}. What is prob of sequence xxxe?\n | 3/2860\n | ibivibiv/math_instruct | |
Solve -629980 = -13610*z - 2086250 for z.\n | -107\n | ibivibiv/math_instruct | |
Calculate prob of picking 4 f when four letters picked without replacement from {e: 2, f: 6}.\n | 3/14\n | ibivibiv/math_instruct | |
What is the millions digit of 18507092?\n | 8\n | ibivibiv/math_instruct | |
Let b(s) = 2*s**2 + 15*s + 10. Let z be b(-7). Let k be -1 - (-1 - (z + 141)). Suppose k = o + 5*o. What is the greatest common divisor of 16 and o?\n | 8\n | ibivibiv/math_instruct | |
What is the value of (3/3*0/6)/(-2)?\n | 0\n | ibivibiv/math_instruct | |
Collect the terms in 70350694 - 70350694 - 3*r**2.\n | -3*r**2\n | ibivibiv/math_instruct | |
Let q be 7 + -1 + (2 - 1). Suppose 0 = q*i - 3*i - 12, -i + 23 = 4*m. Calculate the lowest common multiple of 4 and m.\n | 20\n | ibivibiv/math_instruct | |
Let l = 10 + -14. Let n = 14 + l. Is n prime?\n | False\n | ibivibiv/math_instruct | |
In base 11, what is 49 - 1a?\n | 2a\n | ibivibiv/math_instruct | |
Suppose 42 = 5*w - 143. Suppose -2*g - 5*o = -0*o - w, -4*g + 19 = -o. Calculate the lowest common multiple of 24 and g.\n | 24\n | ibivibiv/math_instruct | |
What is the units digit of 500276714?\n | 4\n | ibivibiv/math_instruct | |
Let h(v) = 8*v. Let o(f) = 2. Let m(u) = -u + 3. Let r(j) = -2*m(j) + 3*o(j). Let a(d) = 2*d. Let w(k) = -6*a(k) + 7*r(k). Give h(w(y)).\n | 16*y\n | ibivibiv/math_instruct | |
Let y be (4 - (2 + 0)) + -2. Suppose 0 = 3*p + 2*t - 16, p = -y*t - t + 7. Solve p*b = 6*b for b.\n | 0\n | ibivibiv/math_instruct | |
Let l = -1 + 6. Let t(i) = -22*i**2 + 157*i + 1. Let x be t(7). Suppose v = 2*m + 23, -l*m + 2*m - x = -v. What is the remainder when v is divided by 14?\n | 11\n | ibivibiv/math_instruct | |
What is the third root of 243572 to the nearest integer?\n | 62\n | ibivibiv/math_instruct | |
Suppose 3*a + 4*n - 3 = -16, n = 3*a + 8. Let j(v) = -5*v + 3*v - v + 3. Calculate j(a).\n | 12\n | ibivibiv/math_instruct | |
Let t = 15.6 + -4.6. Let u = t - 12. Let l = -2 - 2. Which is the second biggest value? (a) u (b) 0 (c) l\n | a\n | ibivibiv/math_instruct | |
Which is the closest to -0.1? (a) -2750 (b) 0.1 (c) 105.84\n | b\n | ibivibiv/math_instruct | |
What is 628 minutes before 3:28 AM?\n | 5:00 PM\n | ibivibiv/math_instruct | |
Let h(i) = -i + 1. Let b be -6*7/(-14)*2. Let o(v) = -2*v**3 + 2*v**2 + 5*v - 6. Determine b*h(p) + o(p).\n | -2*p**3 + 2*p**2 - p\n | ibivibiv/math_instruct | |
What is the result of the following expression?
(18.336 / 97.845) - (40.02 * -83.135) | 3327.2501 | ibivibiv/math_instruct | |
Let g = -5 - -15. What is the greatest common divisor of g and 10?\n | 10\n | ibivibiv/math_instruct | |
In base 7, what is 104233506 - -22?\n | 104233531\n | ibivibiv/math_instruct | |
Round 0.0000187165778 to seven decimal places.\n | 0.0000187\n | ibivibiv/math_instruct | |
What is the common denominator of -53/20414559 and -53/1917?\n | 183731031\n | ibivibiv/math_instruct | |
24c (base 13) to base 2\n | 110010010\n | ibivibiv/math_instruct | |
Calculate the smallest common multiple of (4 - 88/10)/((-2)/5) and -1 + 2 - (-14)/2.\n | 24\n | ibivibiv/math_instruct | |
What is the lowest common multiple of 3344 and 912?\n | 10032\n | ibivibiv/math_instruct | |
Let d = 11749 - 11747. Which is the nearest to 4? (a) -10 (b) d (c) -22\n | b\n | ibivibiv/math_instruct | |
((-160)/15*(-15)/25)/(130/(-2275))\n | -112\n | ibivibiv/math_instruct | |
Calculate the highest common divisor of 65233 and 26698.\n | 7\n | ibivibiv/math_instruct | |
Round -1282.83274 to the nearest one hundred.\n | -1300\n | ibivibiv/math_instruct | |
Divide -4 by 85.\n | -4/85\n | ibivibiv/math_instruct | |
Factor -2*b**3/5 - 676238*b**2/5 - 11432378192*b + 11432513440.\n | -2*(b - 1)*(b + 169060)**2/5\n | ibivibiv/math_instruct | |
Let u = 0.8 + -1.1. Let z = 0.2 - u. Let g be 3/(-12) + (-15)/(-108). Which is the third biggest value? (a) z (b) g (c) 5\n | b\n | ibivibiv/math_instruct | |
Suppose -4*x + 4 = v, v + 14 = -4*v - 3*x. What is the common denominator of -1/8 and 6*-19*v/(-16)?\n | 8\n | ibivibiv/math_instruct | |
In base 15, what is -e + 7572?\n | 7563\n | ibivibiv/math_instruct | |
Let x(w) = -15*w**2 - 176*w - 36. Let f be x(-10). Solve 16*l - 160 = -f for l.\n | -4\n | ibivibiv/math_instruct | |
Three letters picked without replacement from {p: 2, z: 4, s: 3, i: 1, d: 1}. Give prob of picking 2 d and 1 p.\n | 0\n | ibivibiv/math_instruct | |
What is the third derivative of -44123248*j**5 + 3*j**2 + 146878*j - 37?\n | -2647394880*j**2\n | ibivibiv/math_instruct | |
Sort 3, -1074, -5, -28, 158.\n | -1074, -28, -5, 3, 158\n | ibivibiv/math_instruct | |
What is the fourth smallest value in 0.3, -116, -57, -0.7?\n | 0.3\n | ibivibiv/math_instruct | |
What are the prime factors of 1146500?\n | 2, 5, 2293\n | ibivibiv/math_instruct | |
Calculate the lowest common multiple of 336 and 303120.\n | 2121840\n | ibivibiv/math_instruct | |
Let g(h) = -h**2 - 7*h + 6. Let w be g(-6). Suppose -y + 4 = -w. Let t(j) = -j**3 - 7*j**2 - j + 5. What is the least common multiple of t(-7) and y?\n | 48\n | ibivibiv/math_instruct | |
Suppose 0 = -2*y - x + 233, 2*y - 4*x = -54 + 272. Is y composite?\n | True\n | ibivibiv/math_instruct | |
What is the thousands digit of 2813?\n | 2\n | ibivibiv/math_instruct | |
Solve f - 5*f - 8 = 0 for f.\n | -2\n | ibivibiv/math_instruct | |
Calculate 0 + 43 - ((5 - (10 + 5)) + -4).\n | 57\n | ibivibiv/math_instruct | |
Suppose -8*n - 16 = -4*v - 4*n, 4*n + 16 = -2*v. Solve -w + l + l - 6 = v, 0 = 2*w + 4*l - 28 for w.\n | 4\n | ibivibiv/math_instruct | |
Calculate prob of sequence oud when three letters picked without replacement from {h: 1, d: 2, o: 1, u: 1}.\n | 1/30\n | ibivibiv/math_instruct | |
-108475896259 + 7642\n | -108475888617\n | ibivibiv/math_instruct | |
Two letters picked without replacement from {a: 7, c: 5, z: 2}. Give prob of picking 2 a.\n | 3/13\n | ibivibiv/math_instruct | |
Do -128413 and -128412 have different values?\n | True\n | ibivibiv/math_instruct | |
Which is smaller: 0 or 1/46751271?\n | 0\n | ibivibiv/math_instruct | |
Let x be (1 - 15/(-6))*4. Let z = 22 - x. What is the units digit of z?\n | 8\n | ibivibiv/math_instruct | |
Differentiate 12*a*u**2*w + 197*a*w + 2*u**2*w + 20*w - 119 with respect to a.\n | 12*u**2*w + 197*w\n | ibivibiv/math_instruct | |
Let s = 102 + -103. Let h(c) = c**3 - c**2 + c - 1. Let v(f) = -4*f**3 + 3*f**2 - f + 2. Determine s*v(o) - 3*h(o).\n | o**3 - 2*o + 1\n | ibivibiv/math_instruct | |
Multiply 0.051 and 2176.\n | 110.976\n | ibivibiv/math_instruct | |
Suppose -l + 3*w = -39, 2887*w - 2883*w + 51 = l. Suppose 8 = -u - 3*n, 0*n = -5*u - n + 2. What is the highest common divisor of u and l?\n | 1\n | ibivibiv/math_instruct | |
Suppose -7*z + 11426 + 5731 = 0. Calculate the greatest common factor of z and 57.\n | 57\n | ibivibiv/math_instruct | |
What is -5 divided by -299933?\n | 5/299933\n | ibivibiv/math_instruct | |
In base 6, what is 5 + -2155030321?\n | -2155030312\n | ibivibiv/math_instruct | |
Let b = 3 + 1. Suppose -2*n - 6 = b*y, 29 = 5*n + y - 2*y. Calculate the greatest common factor of n and 2.\n | 1\n | ibivibiv/math_instruct | |
Simplify 5 + (sqrt(2904) + -3*((sqrt(2904) - 2*sqrt(2904)) + sqrt(2904)))/(-1*sqrt(200)*-2).\n | 11*sqrt(3)/10 + 5\n | ibivibiv/math_instruct | |
Let w = -3 - -2.98. Let v = w - -2.62. Let n = -1.53 + v. Round n to 1 dp.\n | 1.1\n | ibivibiv/math_instruct | |
Let n = 443 + -670. Let k = n + 387. Which is bigger: 159 or k?\n | k\n | ibivibiv/math_instruct | |
Let x be ((-4)/(16/(-17)))/((-4)/(-32)). Let v = x + -43. List the prime factors of (-3)/(v/(-147))*(1 + -3).\n | 2, 7\n | ibivibiv/math_instruct | |
Sort 5, -9, 0.018, -1.\n | -9, -1, 0.018, 5\n | ibivibiv/math_instruct | |
What is 549827222 + 4981?\n | 549832203\n | ibivibiv/math_instruct | |
Let q = -2.505304 - -2.515. What is q rounded to 4 dps?\n | 0.0097\n | ibivibiv/math_instruct | |
Multiply -0.15 and -5.2002137.\n | 0.780032055\n | ibivibiv/math_instruct | |
Suppose -2*n + 3*q = -25, -3*n - q + 5*q = -39. Let u be ((-4)/(-5))/((-14)/175). Let l = u + n. What are the prime factors of l?\n | 7\n | ibivibiv/math_instruct | |
What is the second derivative of h*k*n**3 + 6*h*k*n**2 + 40*h*k + 2009*h*n**3 - 2*h + 9*k*n + n - 6 wrt n?\n | 6*h*k*n + 12*h*k + 12054*h*n\n | ibivibiv/math_instruct | |
What is the value of (60/75)/((84/(-245))/(4/14))?\n | -2/3\n | ibivibiv/math_instruct | |
Does 78 divide 4978116?\n | True\n | ibivibiv/math_instruct | |
Solve 30*v = 34*v + 44 for v.\n | -11\n | ibivibiv/math_instruct | |
Calculate the remainder when 61395 is divided by 162.\n | 159\n | ibivibiv/math_instruct | |
Calculate the remainder when 5815 is divided by 28.\n | 19\n | ibivibiv/math_instruct | |
Let s = -48.7 + 47. Let j = -0.7 - s. What is the third smallest value in -2, j, 1/12?\n | j\n | ibivibiv/math_instruct |
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