instruction_seed stringlengths 5 2.9k | response_seed stringlengths 3 9.55k | input stringclasses 1
value | _source stringclasses 1
value |
|---|---|---|---|
Simplify (sqrt(1216) + 0 - sqrt(19))*2*-5 + 2 + 1.\n | -70*sqrt(19) + 3\n | ibivibiv/math_instruct | |
What is 30/75*-1*21240/(-72)?\n | 118\n | ibivibiv/math_instruct | |
Let o be (-18 - 0)*1*(-3 - -2). Let h = 2 + -2. Suppose h = 4*s - 0*s - 144. Calculate the highest common divisor of o and s.\n | 18\n | ibivibiv/math_instruct | |
Determine v, given that -v**3/3 - 7786676*v**2/3 + 7786679*v/3 + 5191118 = 0.\n | -7786677, -1, 2\n | ibivibiv/math_instruct | |
Is 53 a factor of 15847?\n | True\n | ibivibiv/math_instruct | |
Find the common denominator of 9/2012 and 35/107642.\n | 215284\n | ibivibiv/math_instruct | |
Suppose -12 = 3*k + 3*z, 4*z = -k - 13 - 3. Let h(a) = a**3 + 5*a**2 - a + 1. Let i be h(-5). Is k - (-3)/(i/38) prime?\n | True\n | ibivibiv/math_instruct | |
Let k = 5 - 11. Let r = k - -13. What is the remainder when 18 is divided by r?\n | 4\n | ibivibiv/math_instruct | |
Two letters picked without replacement from {t: 16, p: 4}. Give prob of sequence tp.\n | 16/95\n | ibivibiv/math_instruct | |
Let q be (22/4)/(10/60). What is the third derivative of -639 - q*o**3 - 3*o**2 - 12*o**2 + 639 wrt o?\n | -198\n | ibivibiv/math_instruct | |
Suppose -3*z - 816 + 4518 = 0. Suppose 0 = -4*g + 57*t - 59*t + z, -1540 = -5*g - 2*t. List the prime factors of g.\n | 2, 3, 17\n | ibivibiv/math_instruct | |
How many minutes are there between 6:33 PM and 9:12 PM?\n | 159\n | ibivibiv/math_instruct | |
Let o be 46 + 5 - (1 - (1 + 1)). Suppose -2*r + k + 47 = 0, -2*r = -0*r + 4*k - o. What is the lowest common multiple of 6 and r?\n | 24\n | ibivibiv/math_instruct | |
Calculate (-100 - -99 - (17 + -1)) + -42.\n | -59\n | ibivibiv/math_instruct | |
-12012 divided by 4004\n | -3\n | ibivibiv/math_instruct | |
Let j(q) = q**3 - 5*q**2 - 5*q + 2. Let c be j(6). Let w be (-1 - c)*4/(-24). Suppose 0 = -5*l + 13 + 2. Which is bigger: w or l?\n | l\n | ibivibiv/math_instruct | |
Solve -14*v - 9 + 43 = -4*i, 2*v = i + 4 for v.\n | 3\n | ibivibiv/math_instruct | |
In base 16, what is 29c + d4?\n | 370\n | ibivibiv/math_instruct | |
Suppose -170 = -3*y - 4*i, 214 + 71 = 5*y + 5*i. Let x be ((-315)/(-140))/(3/(-8)) - -528. Calculate the highest common factor of x and y.\n | 58\n | ibivibiv/math_instruct | |
What is the nearest to -1/2 in 1, -3/7, 94/3?\n | -3/7\n | ibivibiv/math_instruct | |
Suppose -4*c - 8 = 0, -2*g = 3*c + 2*c + 42. Let r be (g/(-12))/(2/3). What is the third derivative of -2*m**4 + 3*m**4 + 0*m**r - 3*m**2 wrt m?\n | 24*m\n | ibivibiv/math_instruct | |
What is 482 divided by -241?\n | -2\n | ibivibiv/math_instruct | |
Let o(m) be the second derivative of -17/12*m**4 + 0 + 0*m**3 - 25*m + 0*m**2 + 11/10*m**5. What is the third derivative of o(u) wrt u?\n | 132\n | ibivibiv/math_instruct | |
b"What is the oth term of -3448, -3456, -3464, -3472, -3480?\n" | -8*o - 3440\n | ibivibiv/math_instruct | |
Let z = 94275/11186 - -1/1598. Calculate the common denominator of z and -28/9.\n | 63\n | ibivibiv/math_instruct | |
Calculate the remainder when 28813 is divided by 15.\n | 13\n | ibivibiv/math_instruct | |
How many minutes are there between 11:16 PM and 6:59 AM?\n | 463\n | ibivibiv/math_instruct | |
Let s(p) = 5*p**3 + 32*p**2 + 6*p - 3. Let k(q) = 9*q**3 + 66*q**2 + 11*q - 5. Determine 4*k(z) - 7*s(z).\n | z**3 + 40*z**2 + 2*z + 1\n | ibivibiv/math_instruct | |
What is (48/66)/((-20)/110)?\n | -4\n | ibivibiv/math_instruct | |
Let d be (-21)/(-63) + 7/(-3). Let p be 0/(1/(1/d)). Suppose 6*i + 2*i - 360 = p. What is the units digit of i?\n | 5\n | ibivibiv/math_instruct | |
Let n(m) be the second derivative of 7*m**6/15 - 5*m**5/2 + 31*m**4/7 - 68*m**3/21 + 8*m**2/7 + 4*m. Determine v so that n(v) = 0.\n | 2/7, 1, 2\n | ibivibiv/math_instruct | |
Solve 276*c + 1355*c = -1334*c - 471*c + 68720 for c.\n | 20\n | ibivibiv/math_instruct | |
What is the ten millions digit of 51672884?\n | 5\n | ibivibiv/math_instruct | |
Let h(z) be the third derivative of z**5/20 + z**2. Let d(c) be the third derivative of 0*c + 0*c**3 - c**2 - 1/8*c**4 + 0. Give d(h(x)).\n | -9*x**2\n | ibivibiv/math_instruct | |
What is the fourth smallest value in -0.3, -1/4, -9, 182?\n | 182\n | ibivibiv/math_instruct | |
What is -0.119433533 take away 0.6?\n | -0.719433533\n | ibivibiv/math_instruct | |
Sort 23/9, -0.15, 0.338 in descending order.\n | 23/9, 0.338, -0.15\n | ibivibiv/math_instruct | |
Is 40153 equal to 2529661/63?\n | False\n | ibivibiv/math_instruct | |
What are the prime factors of 1883?\n | 7, 269\n | ibivibiv/math_instruct | |
What are the prime factors of ((-6)/(-3))/(2/37)?\n | 37\n | ibivibiv/math_instruct | |
Solve 2*r - 5 = 3*u, 0*r + 13 = -5*u + r for u.\n | -3\n | ibivibiv/math_instruct | |
What is the common denominator of 29/16 and -23/754224?\n | 754224\n | ibivibiv/math_instruct | |
Suppose -3*o - 2*o = -15. Let g be (-2)/6 + 46/3. Let u = g - o. Is u a multiple of 8?\n | False\n | ibivibiv/math_instruct | |
Find the second derivative of -104*k**4*q**2 + k**3*q**3 - 43*k*q**3 + k*q wrt k.\n | -1248*k**2*q**2 + 6*k*q**3\n | ibivibiv/math_instruct | |
How many minutes are there between 7:15 AM and 8:46 AM?\n | 91\n | ibivibiv/math_instruct | |
Let z(y) = y**2. Let c(p) = -639*p. What is z(c(j))?\n | 408321*j**2\n | ibivibiv/math_instruct | |
b"What is the gth term of 2341, 4481, 6421, 8167, 9725?\n" | g**3 - 106*g**2 + 2451*g - 5\n | ibivibiv/math_instruct | |
Sort 3, -2928577, -183 in decreasing order.\n | 3, -183, -2928577\n | ibivibiv/math_instruct | |
What is the result of the following expression?
-89.5563 * 0.4081 | -36.5479 | ibivibiv/math_instruct | |
Round -2381400 to the nearest ten thousand.\n | -2380000\n | ibivibiv/math_instruct | |
Is 105667 a composite number?\n | False\n | ibivibiv/math_instruct | |
Statement 1 | The symmetric group S_n is a normal subgroup of the symmetric group S_{n+1}. Statement 2 | If G is a group and H is a subgroup of G, then the set {gHg^-1 | g ∈ G} is a subgroup of G. Answer Choices: (A) True, True (B) False, False (C) True, False (D) False, True | Statement 1: The symmetric group S_n is a normal subgroup of the symmetric group S_{n+1}. This statement is false. The symmetric group S_n is not a normal subgroup of the symmetric group S_{n+1}. A normal subgroup N of a group G is a subgroup for which gNg^-1 = N for every g in G. However, for S_n as a subgroup of S_{n... | ibivibiv/math_instruct | |
Is -2/689 != -33?\n | True\n | ibivibiv/math_instruct | |
Express 3 + 2*r**4 - 4*r - 10*r**3 + 0 + 9*r**3 - r**4 in the form j + s*r**3 + n*r**4 + i*r**2 + g*r and give n.\n | 1\n | ibivibiv/math_instruct | |
Let v = -551/1053 + 5/81. Let b = -25/26 - v. Suppose 5*h + 37 = 3*q, -3*h - 4 = h + 4*q. What is the third smallest value in h, b, -0.3?\n | -0.3\n | ibivibiv/math_instruct | |
Let b be 217/21 - 2/6. Suppose b = 5*g - 15. Solve 4*z - 30 = -5*q, g*z - 5*q - 4 = 11 for z.\n | 5\n | ibivibiv/math_instruct | |
In base 11, what is -4 - 213a51386?\n | -213a5138a\n | ibivibiv/math_instruct | |
Let l(v) = -v**2 - 6*v + 19. Let j = -55 + 52. Let h be j + -3 + (4 - 1) + -5. Determine l(h).\n | 3\n | ibivibiv/math_instruct | |
Calculate prob of picking 3 u when three letters picked without replacement from {u: 3, b: 1}.\n | 1/4\n | ibivibiv/math_instruct | |
Suppose -178*m + 3062839 = -49*m + 92*m. List the prime factors of m.\n | 13859\n | ibivibiv/math_instruct | |
Solve 0 = 5*g - 7*w - 16, -36*w + 41*w = 5*g - 20 for g.\n | 6\n | ibivibiv/math_instruct | |
Which is smaller: 1110 or -275?\n | -275\n | ibivibiv/math_instruct | |
Let f = 1375 - 4057/3. Which is smaller: f or 22?\n | 22\n | ibivibiv/math_instruct | |
What is prob of picking 2 z and 2 n when four letters picked without replacement from nzccznznnznnn?\n | 126/715\n | ibivibiv/math_instruct | |
How many millilitres are there in three eighths of a litre?\n | 375\n | ibivibiv/math_instruct | |
Let p(z) = -z**3 - 14*z**2 + z + 27. Let o be p(-14). Suppose -u + 84 = 3*r, 5*r - o = -2*u + 126. What is the units digit of r?\n | 9\n | ibivibiv/math_instruct | |
Rearrange -k**2 - 37318*k + 37318*k - k**3 - 468 to y*k**3 + h + m*k**2 + r*k and give y.\n | -1\n | ibivibiv/math_instruct | |
What is the hundred thousands digit of 383674076?\n | 6\n | ibivibiv/math_instruct | |
Let x = -25000700/1119 - -22342. Let i = x - 43633/4476. What is the common denominator of 2019/210 + (-4)/(-14) and i?\n | 20\n | ibivibiv/math_instruct | |
What is prob of sequence vvrr when four letters picked without replacement from {v: 4, b: 1, t: 1, k: 1, r: 2}?\n | 1/126\n | ibivibiv/math_instruct | |
Collect the terms in r - 18249120 + 36498772 - 18249652.\n | r\n | ibivibiv/math_instruct | |
Which is the nearest to 0.01? (a) 7 (b) -1 (c) -27 (d) 49/10\n | b\n | ibivibiv/math_instruct | |
Solve -11*p + 294 = 31*p for p.\n | 7\n | ibivibiv/math_instruct | |
Divide -241590000 by 24.\n | -10066250\n | ibivibiv/math_instruct | |
Let k(x) = -x**3 + x**2 + 11*x - 7. Give k(2).\n | 11\n | ibivibiv/math_instruct | |
Calculate prob of picking 1 e and 1 f when two letters picked without replacement from {q: 3, f: 3, e: 1, a: 2, w: 6}.\n | 1/35\n | ibivibiv/math_instruct | |
What is 3296824 to the power of 1/6, to the nearest integer?\n | 12\n | ibivibiv/math_instruct | |
-4*1787975\n | -7151900\n | ibivibiv/math_instruct | |
Let a be 0/(-3*1) - 7. Let v = 27 + a. Let x = 1397 - 1387. Calculate the greatest common divisor of x and v.\n | 10\n | ibivibiv/math_instruct | |
What is 100221002222 (base 3) in base 16?\n | 2fb7c\n | ibivibiv/math_instruct | |
Aron spends 30 minutes/day three times a week vacuuming and 20 minutes/day 2 days a week dusting. How much time does he spend cleaning total each week? | Aron spends 30 minutes/day vacuuming, three times a week, so he spends 30 * 3 = 90 minutes vacuuming each week.
Aron also spends 20 minutes/day dusting, two days a week, so he spends 20 * 2 = 40 minutes dusting each week.
In total, Aron spends 90 + 40 = 130 minutes cleaning each week.
#### 130
The answer is: 130 | ibivibiv/math_instruct | |
Suppose -6*t + 4*t = -o - 13, 0 = 5*t - 5*o - 40. What is the highest common factor of t and 15?\n | 5\n | ibivibiv/math_instruct | |
List the prime factors of 15709328.\n | 2, 271, 3623\n | ibivibiv/math_instruct | |
Let y(n) = 55*n**3 + 21*n**2 - 4*n - 24. Calculate y(-1).\n | -54\n | ibivibiv/math_instruct | |
Let w = 1125 + -1125.01158. Round w to 3 decimal places.\n | -0.012\n | ibivibiv/math_instruct | |
Collect the terms in 3*f + 49 - 49.\n | 3*f\n | ibivibiv/math_instruct | |
Find g, given that -95*g**5 + 12505*g**4 - 266580*g**3 - 5072220*g**2 - 20656080*g - 15863040 = 0.\n | -6, -1, 48, 1836/19\n | ibivibiv/math_instruct | |
What comes next: 33, 107, 187, 243, 245, 163, -33?\n | -373\n | ibivibiv/math_instruct | |
Let f(h) = h**3 + 6*h**2 + 5*h + 5. Suppose -3*d = -d + 5*r - 12, 28 = -5*d + 2*r. Calculate f(d).\n | 17\n | ibivibiv/math_instruct | |
Suppose 0 = n - m + 7 - 19, -8 = -n - 3*m. Suppose n = -17*v - 6. Let a be (-1 - 11)*3/3. Sort a, 4, v in decreasing order.\n | 4, v, a\n | ibivibiv/math_instruct | |
Let t(p) = 2*p**2. Suppose -m = -2 - 7. Let x(r) = -r**3 + 10*r**2 - 10*r + 11. Let f be x(m). Let u(c) = c**2 - 3*c**f + c**2. Give t(u(y)).\n | 2*y**4\n | ibivibiv/math_instruct | |
Calculate (8*-22)/4*(-387)/(-9288).\n | -11/6\n | ibivibiv/math_instruct | |
Let q(o) = o**2 - 4*o. Let h be q(6). Let j be (2 + h)/(1 - 0). Suppose -3*c + j = -2*c. Solve v - c = -2*y - v, -v = -2*y - 1 for y.\n | 2\n | ibivibiv/math_instruct | |
Let m(q) = 2*q**3 + 4*q**2 + q - 4. Let n be m(1). Sort -1/5, -0.3, n, -33 in ascending order.\n | -33, -0.3, -1/5, n\n | ibivibiv/math_instruct | |
List the prime factors of 210695698.\n | 2, 105347849\n | ibivibiv/math_instruct | |
What is 162132 to the power of 1/7, to the nearest integer?\n | 6\n | ibivibiv/math_instruct | |
Let b(t) be the first derivative of -t**4/4 + 3*t**3 + 3*t**2/2 - 6*t + 1. Let v be b(9). Solve 3*j + v = -2*y, 0 = -j + y - 0*y - 2 for j.\n | -5\n | ibivibiv/math_instruct | |
Solve -18*p + 25*p + 7 = 0 for p.\n | -1\n | ibivibiv/math_instruct | |
What is -3311404 (base 7) in base 5?\n | -101000222\n | ibivibiv/math_instruct | |
Four letters picked without replacement from {j: 4, a: 4, z: 2, c: 3, d: 1}. Give prob of sequence accj.\n | 4/1001\n | ibivibiv/math_instruct |
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