instruction_seed stringlengths 5 2.9k | response_seed stringlengths 3 9.55k | input stringclasses 1
value | _source stringclasses 1
value |
|---|---|---|---|
Two letters picked without replacement from {v: 5, n: 5, b: 2, o: 3}. What is prob of sequence vn?\n | 5/42\n | ibivibiv/math_instruct | |
Collect the terms in -929*t**2 + 235*t**2 - 1143*t**2 - 444*t**2 - 1456*t**2.\n | -3737*t**2\n | ibivibiv/math_instruct | |
Suppose 2*v - 3*y = 35, -3*y - 12 = 3. Calculate the lowest common multiple of 23 and v.\n | 230\n | ibivibiv/math_instruct | |
In base 4, what is -12011302 + -3?\n | -12011311\n | ibivibiv/math_instruct | |
Let t = -39 + 51. Solve 3*d = -q + 4*q - t, -4*q + 18 = -2*d for q.\n | 5\n | ibivibiv/math_instruct | |
Suppose 0 = 2*k - k - 6. Let l be ((-20)/k)/((-16)/24). Suppose -5*t = -0*t - 20, -5*j + 50 = -l*t. What is the tens digit of j?\n | 1\n | ibivibiv/math_instruct | |
Let r be (34/4)/(2/(-4)). Let p = -3 - r. Is p a multiple of 12?\n | False\n | ibivibiv/math_instruct | |
Let a(s) be the third derivative of s**6/360 + 5*s**4 + 29*s**2. Let v(y) be the second derivative of a(y). Let z(f) = 0*f**2 - 2*f**2 - 3*f**2. Give z(v(b)).\n | -20*b**2\n | ibivibiv/math_instruct | |
Is 22 a factor of 5962?\n | True\n | ibivibiv/math_instruct | |
Let h(n) = n**3 - n. Calculate the lowest common multiple of 7 + (21/1)/(-7) and h(2).\n | 12\n | ibivibiv/math_instruct | |
Sort -9/80, -5, 10299.\n | -5, -9/80, 10299\n | ibivibiv/math_instruct | |
What is the tens digit of 23986647?\n | 4\n | ibivibiv/math_instruct | |
Which is smaller: -0.06 or -1688327?\n | -1688327\n | ibivibiv/math_instruct | |
What is 1979 to the power of 1/8, to the nearest integer?\n | 3\n | ibivibiv/math_instruct | |
Which is bigger: 1/4 or -509237?\n | 1/4\n | ibivibiv/math_instruct | |
Is 441 a factor of 416226506?\n | False\n | ibivibiv/math_instruct | |
Express (-i + 0*i + 0*i)*(2*i - 3 + 3)*(-13 + 1 - 12) in the form g*i**2 + w + j*i and give g.\n | 48\n | ibivibiv/math_instruct | |
Let q be 1/(-2)*(1 - 5). Let x be 4*(1 + q/(-4)). Suppose 0 = -2*k + 62 - x. What is the greatest common factor of 12 and k?\n | 6\n | ibivibiv/math_instruct | |
What is 651482.9ml in litres?\n | 651.4829\n | ibivibiv/math_instruct | |
What comes next: 34874, 34891, 34908, 34925, 34942, 34959?\n | 34976\n | ibivibiv/math_instruct | |
b"What is the oth term of 6809, 6810, 6811, 6812, 6813?\n" | o + 6808\n | ibivibiv/math_instruct | |
Let b(x) = x + 56. Calculate the remainder when b(0) is divided by 29.\n | 27\n | ibivibiv/math_instruct | |
Let d = 0.3 - 8.3. Let s = d + 8. Is s smaller than 3?\n | True\n | ibivibiv/math_instruct | |
Collect the terms in 5 - 11 - 3*n**2 + 6.\n | -3*n**2\n | ibivibiv/math_instruct | |
Which is the closest to -1? (a) 1/3 (b) -14.4 (c) -5 (d) 21\n | a\n | ibivibiv/math_instruct | |
Round -0.889 to one dp.\n | -0.9\n | ibivibiv/math_instruct | |
Simplify ((y*y**0)/y**(-5/3))/(y**(-1/4)/y)**(18/11) assuming y is positive.\n | y**(311/66)\n | ibivibiv/math_instruct | |
Calculate the common denominator of -5/52 and 61/2238.\n | 58188\n | ibivibiv/math_instruct | |
Let l(j) = j**3 - 14*j**2 + 55*j - 58. Let d be l(8). Are -27/46 and d nonequal?\n | True\n | ibivibiv/math_instruct | |
Find m, given that 488*m**5 + 106*m**4 - 492*m**3 - 106*m**2 + 4*m = 0.\n | -1, -1/4, 0, 2/61, 1\n | ibivibiv/math_instruct | |
Solve l**3/3 - 598*l**2/3 + 1189*l/3 + 596 = 0.\n | -1, 3, 596\n | ibivibiv/math_instruct | |
Solve 473538*l - 473967*l = -15015 for l.\n | 35\n | ibivibiv/math_instruct | |
Calculate the highest common factor of 10 and 5866.\n | 2\n | ibivibiv/math_instruct | |
Calculate the greatest common factor of 1859 and 3042.\n | 169\n | ibivibiv/math_instruct | |
Calculate the least common multiple of 82 and 246.\n | 246\n | ibivibiv/math_instruct | |
What is the greatest common divisor of 1591 and 4181?\n | 37\n | ibivibiv/math_instruct | |
Suppose 1731260 = 14*l + 393658. Is l a composite number?\n | True\n | ibivibiv/math_instruct | |
Which is the second smallest value? (a) 4 (b) -10 (c) 1/4 (d) -0.01\n | d\n | ibivibiv/math_instruct | |
What is 3691 to the power of 1/2, to the nearest integer?\n | 61\n | ibivibiv/math_instruct | |
Let s = 583 + -439. Suppose m - 623 = -s. What are the prime factors of m?\n | 479\n | ibivibiv/math_instruct | |
Rearrange (-836*d**2 + 2*d - 17*d + 25*d**3 + 837*d**2)*(-8 - 2 + 6) to the form c*d**2 + b + a*d**3 + r*d and give c.\n | -4\n | ibivibiv/math_instruct | |
Solve -102 + 78 = -4*h, 2*f + 2*h - 16 = 0 for f.\n | 2\n | ibivibiv/math_instruct | |
Let p(j) = -5*j + 2. Let b(x) = x - 1. Let h be 7/(-42) + 61/6. Let a = 14 - h. Suppose i + 5*f - 6 = 0, -i - 3*i = a*f - 8. Determine i*p(n) + 4*b(n).\n | -n - 2\n | ibivibiv/math_instruct | |
Calculate the common denominator of 71/363 and -139/6.\n | 726\n | ibivibiv/math_instruct | |
What is three fifths of a microgram in nanograms?\n | 600\n | ibivibiv/math_instruct | |
What is the third smallest value in 8039, 0.5, 3, 2, -1, 0.3, 0.9?\n | 0.5\n | ibivibiv/math_instruct | |
Let v = 16032 + -16044. Are v and 14 unequal?\n | True\n | ibivibiv/math_instruct | |
Convert 63777.71mg to grams.\n | 63.77771\n | ibivibiv/math_instruct | |
What is -2 + -9 - (-4 + -1 - (-779 + 761))?\n | -24\n | ibivibiv/math_instruct | |
What is the thousands digit of 69937?\n | 9\n | ibivibiv/math_instruct | |
Calculate the remainder when (-74 + -1)/(-6*(-6)/(-48)) is divided by 17.\n | 15\n | ibivibiv/math_instruct | |
In base 6, what is -53204021 - -4?\n | -53204013\n | ibivibiv/math_instruct | |
Is 17176617 a multiple of 9?\n | True\n | ibivibiv/math_instruct | |
Simplify (d/((d/(d*d*d**(-2/3)))/d))**(1/35)*d*d*d**(-2/13)*d/d**(-3)*(((d/(d**5/d))/d)/(d**(-5)/d))/(d**0)**(-1/68) assuming d is positive.\n | d**(1543/195)\n | ibivibiv/math_instruct | |
Let s(f) = 2*f. Let t(o) = -53622*o. Give s(t(a)).\n | -107244*a\n | ibivibiv/math_instruct | |
Let b(x) = 3*x**2 - 2*x - 2. Let y = -122 + 124. Let p be (y + 0)*(-7)/(-2). Is b(p) composite?\n | False\n | ibivibiv/math_instruct | |
Let k = 55 + -33. Suppose 3*j = -2*t + 10, 3*t - 3 = 6*j - 9. Calculate the greatest common divisor of j and k.\n | 2\n | ibivibiv/math_instruct | |
How many years are there in 57/5 of a decade?\n | 114\n | ibivibiv/math_instruct | |
How many minutes are there between 10:37 AM and 10:24 PM?\n | 707\n | ibivibiv/math_instruct | |
Suppose 25 = -5*b, -58*u + 63*u + 5 = -4*b. Sort -478, u, -4 in decreasing order.\n | u, -4, -478\n | ibivibiv/math_instruct | |
Let u = 1.4 + -1. Let l = -0.112 + 3.112. Put u, l, 0.2 in descending order.\n | l, u, 0.2\n | ibivibiv/math_instruct | |
What is m in 31*m**2 + 15*m - 16 = 0?\n | -1, 16/31\n | ibivibiv/math_instruct | |
Suppose -3*w + 2*x = -4883, 5*w + 29*x - 8132 = 26*x. What are the prime factors of w?\n | 1627\n | ibivibiv/math_instruct | |
Rearrange -540*c**3 + 2*c**4 - 8*c**4 + 535*c**3 - 4*c**4 + 1 - 2*c to g*c**4 + v + f*c + b*c**3 + t*c**2 and give f.\n | -2\n | ibivibiv/math_instruct | |
What comes next: -53473301, -106946603, -160419905, -213893207, -267366509?\n | -320839811\n | ibivibiv/math_instruct | |
Suppose -12*i + 11*i + 2 = 0. Solve -5*z - i*a - 11 = -34, 3*z - 3*a = 18 for z.\n | 5\n | ibivibiv/math_instruct | |
How many millennia are there in 7012.109 years?\n | 7.012109\n | ibivibiv/math_instruct | |
Let b be 1/2*-1*-4. Suppose 0*n - b = -n. Let d = -13 + -11. What is the second smallest value in d, -0.5, n?\n | -0.5\n | ibivibiv/math_instruct | |
Is 79376611 a prime number?\n | False\n | ibivibiv/math_instruct | |
The Jacksonville Walmart normally gets 120 customer complaints per day. However, the number of complaints increases based on three scenarios. When they are short-staffed by 20%, the complains increase by 1/3rd. When they are short-staffed by 40%, the complains increase by 2/3rd. The second scenario is when the self-che... | Let's calculate the number of complaints for each day separately and then sum them up.
**Day 1:**
- Short-staffed by 20%: Complaints increase by 1/3rd of 120, which is 120 * 1/3 = 40.
- Self-checkout completely broken: Complaints increase by an additional 20% of the original 120, which is 120 * 20% = 24.
Total compla... | ibivibiv/math_instruct | |
What is 715 minutes before 6:05 AM?\n | 6:10 PM\n | ibivibiv/math_instruct | |
Suppose -18*n - 22*n + 244 = 21*n. Suppose -4*p = -195 - 57. What is the remainder when p is divided by n?\n | 3\n | ibivibiv/math_instruct | |
Solve -26*m = -30*m, -6*m + 14 = 2*u + 2*m - 6*m for u.\n | 7\n | ibivibiv/math_instruct | |
Suppose -3*s = -0*s - 9. Let w be s*-4*2/(-12). What is the third derivative of 0*z**4 - z**4 + z**2 + 2*z**w wrt z?\n | -24*z\n | ibivibiv/math_instruct | |
What is prob of sequence rree when four letters picked without replacement from erruerrc?\n | 1/70\n | ibivibiv/math_instruct | |
Is (-12375)/(-1) - (-32)/272*-17 a prime number?\n | True\n | ibivibiv/math_instruct | |
Calculate the remainder when 54992 is divided by 4999.\n | 3\n | ibivibiv/math_instruct | |
Collect the terms in 0 + 0 + 5100*h**2 - 5108*h**2.\n | -8*h**2\n | ibivibiv/math_instruct | |
Let v = 139 + -19. Let y = -66 + v. Is 20 a factor of y?\n | False\n | ibivibiv/math_instruct | |
What is the result of the following expression?
24.194 - -94.167 | 118.3610 | ibivibiv/math_instruct | |
Express 20 + 19 + 23 - 1 - o in the form c + s*o and give s.\n | -1\n | ibivibiv/math_instruct | |
List the prime factors of 285.\n | 3, 5, 19\n | ibivibiv/math_instruct | |
Four letters picked without replacement from sxssbxxsbbs. What is prob of sequence xxxb?\n | 1/440\n | ibivibiv/math_instruct | |
Let j = 9 - 13. Let u = -7 - -7. Suppose 0 = -a - 2*d + 5, 3*a + 12 = -u*a + 3*d. Put j, a, -0.3 in decreasing order.\n | -0.3, a, j\n | ibivibiv/math_instruct | |
Which is smaller: 500 or 498?\n | 498\n | ibivibiv/math_instruct | |
What is the nearest to 1/3 in -3/11, 2, 0.3, -0.3?\n | 0.3\n | ibivibiv/math_instruct | |
Let i = 575 - 269. What is the first derivative of 306*l**3 - i*l**3 - 29*l**4 + 30 wrt l?\n | -116*l**3\n | ibivibiv/math_instruct | |
What is 7979 to the power of 1/3, to the nearest integer?\n | 20\n | ibivibiv/math_instruct | |
Let a(y) = -133*y**2 - 2*y. Let k(h) = -71*h - 12*h + 41*h + 48*h. Determine a(k(r)).\n | -4788*r**2 - 12*r\n | ibivibiv/math_instruct | |
Let p = -2.679 - -1.77. Let l = -0.89 - p. Let b = l - -0.981. What is the closest to b in 1/3, 1, -5?\n | 1\n | ibivibiv/math_instruct | |
-24608 divided by 3\n | -24608/3\n | ibivibiv/math_instruct | |
Collect the terms in -68*d**2 + 32*d**2 - 75*d**2 + 112*d**2.\n | d**2\n | ibivibiv/math_instruct | |
What is the result of the following expression?
69.9407 / -56.5203 | -1.2374 | ibivibiv/math_instruct | |
Let q(j) = -9 + 0*j**2 + 5 - 4*j + j**2 - 6. Let h be q(7). Let i(s) = 16 - 5*s**3 - s + 38*s**2 - 38*s**2. Let f(y) = -y**3 + 3. Calculate h*f(t) - 2*i(t).\n | -t**3 + 2*t + 1\n | ibivibiv/math_instruct | |
Let b(m) = 4*m - 41. Let s be b(-7). Let p = 131 + s. Calculate the greatest common divisor of p and 31.\n | 31\n | ibivibiv/math_instruct | |
Multiply 0.5 and -0.487.\n | -0.2435\n | ibivibiv/math_instruct | |
b"What is the wth term of -32, -42, -26, 10, 60, 118?\n" | -w**3 + 19*w**2 - 60*w + 10\n | ibivibiv/math_instruct | |
Let i(y) = -y**2 + 5*y - 4. Let x be i(5). Let q = x + 6. Suppose q*l - 3*t - 180 = 0, -l = -6*l - 3*t + 429. Calculate the remainder when l is divided by 22.\n | 21\n | ibivibiv/math_instruct | |
Let b be (-9)/(-2)*2/3. Suppose n = 2*s - 53, b*s + 4*n - 58 - 49 = 0. Is s a multiple of 4?\n | False\n | ibivibiv/math_instruct | |
Let p(j) = -3*j - 5. Suppose -185*n + 192*n + 70 = 0. Let k(o) = -o**2 - 15*o - 44. What is the lowest common multiple of k(n) and p(-5)?\n | 30\n | ibivibiv/math_instruct |
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