instruction_seed stringlengths 5 2.9k | response_seed stringlengths 3 9.55k | input stringclasses 1
value | _source stringclasses 1
value |
|---|---|---|---|
Expand 0*b**4 + b**4 + b**4 - b**4 + 4*b**4 - b**4 + (-4*b + 5*b + b)*(3*b**3 - b**3 + 5*b**3).\n | 18*b**4\n | ibivibiv/math_instruct | |
What is -a (base 11) in base 4?\n | -22\n | ibivibiv/math_instruct | |
Let y = 58 + -57.6. Let i = -0.1 + -4.9. What is the third smallest value in 5, i, y?\n | 5\n | ibivibiv/math_instruct | |
What is next in 32099738, 64199492, 96299260, 128399042?\n | 160498838\n | ibivibiv/math_instruct | |
Let a(o) be the second derivative of 0*o**3 + 1/6*o**4 - 6*o + 0*o**2 + 0. Let x(h) = 4*h + 0*h - 2*h. Give x(a(q)).\n | 4*q**2\n | ibivibiv/math_instruct | |
What is the least common multiple of 16 and 3040?\n | 3040\n | ibivibiv/math_instruct | |
Let d = -0.0979 + 0.0497. Let z = d + 0.1182. Is z smaller than 2.5?\n | True\n | ibivibiv/math_instruct | |
What is the thousands digit of 2351?\n | 2\n | ibivibiv/math_instruct | |
Calculate the greatest common divisor of 163955 and 165.\n | 55\n | ibivibiv/math_instruct | |
Let z(y) be the second derivative of -y**3/6 - 4*y**2 - 3*y. Let f be z(-11). Find the second derivative of 2*q**4 + f*q - 6*q + q**4 wrt q.\n | 36*q**2\n | ibivibiv/math_instruct | |
What is 217544 to the power of 1/2, to the nearest integer?\n | 466\n | ibivibiv/math_instruct | |
Let n = 27 - 27. Let q be (-2 - -1)/(4/(-8)). Suppose k - 5 = -3*m - k, -3 = -q*m - k. Which is smaller: n or m?\n | n\n | ibivibiv/math_instruct | |
Suppose 5*b - 18 = -j - 2, 2*b - 172 = -5*j. Suppose -128 = -4*u - j. What is the units digit of u?\n | 3\n | ibivibiv/math_instruct | |
Solve 0 = -3*k + 2*z - 9, -3*z + 5 + 0 = 4*k for k.\n | -1\n | ibivibiv/math_instruct | |
What is the square root of 3832 to the nearest integer?\n | 62\n | ibivibiv/math_instruct | |
Let n = 2.1639 - 1.9639. Which is the nearest to 1? (a) 0.3 (b) 5 (c) 3 (d) n\n | a\n | ibivibiv/math_instruct | |
Let i be 2/(-16) - (-1863)/(-72). Let m = 40 + i. Suppose -3*w + 0*p = -4*p - 16, 0 = 2*p - 4. What is the remainder when m is divided by w?\n | 6\n | ibivibiv/math_instruct | |
Write an educational piece suited for college students related to the following text snippet:
"# Analysis help
## Homework Statement
Let X=R^2 and the distance be the usual Euclidean distance. If C and D are non-empty sets of R^2 and we have:
C+D := {y ϵ R^2 | there exists c ϵ C and dϵD s.t c+d = y}
A) What is C+D ... | When dealing with mathematical structures like $\mathbb{R}^2$, equipped with a distance function (also known as a metric), we often study properties of various subsets of these spaces under different operations. One common operation is Minkowski addition, denoted by $"+",$ which combines two sets $A$ and $B$ into a ne... | ibivibiv/math_instruct | |
Let p(l) be the first derivative of l**2/2 + 10*l - 3. Let c be p(-7). Let h(f) = c - 9 + 4. Let i(s) = s**2 + s + 18. Give -18*h(d) - 2*i(d).\n | -2*d**2 - 2*d\n | ibivibiv/math_instruct | |
Let i be (-1 - (1 + -2))/1. Let f be 592/629 + (1 - 4) + 2. Which is smaller: f or i?\n | f\n | ibivibiv/math_instruct | |
Sum 0.5 and -398.14.\n | -397.64\n | ibivibiv/math_instruct | |
Let g(y) be the first derivative of 5*y**3/3 - y**2 + 2. Let s(c) = c + 2. Let b be s(-4). Is g(b) a multiple of 15?\n | False\n | ibivibiv/math_instruct | |
What is 310 minutes before 12:29 AM?\n | 7:19 PM\n | ibivibiv/math_instruct | |
Simplify ((s**1*s)**(-5/13)*((s*s**(-2))/s)**36)/(((s/((s/s**0)/s*s))/s)**(-3/20)/((s*s**(-7)*s)/(s*s/(s*s**7*s)))) assuming s is positive.\n | s**(-18439/260)\n | ibivibiv/math_instruct | |
What is -1.2399963 rounded to one decimal place?\n | -1.2\n | ibivibiv/math_instruct | |
Suppose -12*y - 2 = -13*y. Suppose j - 1 = -w, w + y*j - 4 = -0. Let g(q) = -q**3 + q. Determine g(w).\n | 6\n | ibivibiv/math_instruct | |
Suppose -3*f**2 - 45*f - 150 = 0. What is f?\n | -10, -5\n | ibivibiv/math_instruct | |
Determine m so that 2*m**3 - 440*m**2 + 19274*m + 19716 = 0.\n | -1, 62, 159\n | ibivibiv/math_instruct | |
Let a(o) = -3*o - 16. Let w be a(-12). Let h be w/4*(-129)/(-15). Let l = 66 - h. What is the units digit of l?\n | 3\n | ibivibiv/math_instruct | |
Let u = 2 - 2. Suppose 3*w = -2*w + 5. Let z be w/1 + 4/1. Solve u = 5*x + z - 0 for x.\n | -1\n | ibivibiv/math_instruct | |
Collect the terms in 6*m - 46757451*m**2 + 21*m + 46757451*m**2 + m**3.\n | m**3 + 27*m\n | ibivibiv/math_instruct | |
Let r = -60 + 65. Suppose -t = -a + r, 3*t = a + t - 5. Calculate the least common multiple of a and 92/6 - (-2)/3.\n | 80\n | ibivibiv/math_instruct | |
Sort 9, 14, -11 in ascending order.\n | -11, 9, 14\n | ibivibiv/math_instruct | |
Suppose 0*f - 22*f - 132*f = -1320550. What are the prime factors of f?\n | 5, 7\n | ibivibiv/math_instruct | |
Calculate prob of sequence aav when three letters picked without replacement from {v: 2, p: 2, l: 2, e: 4, a: 2, o: 2}.\n | 1/546\n | ibivibiv/math_instruct | |
Round -0.023188 to three dps.\n | -0.023\n | ibivibiv/math_instruct | |
Let w(h) = 45*h**2 - 1. Calculate the remainder when w(2) is divided by 50/(-10) + 9*2.\n | 10\n | ibivibiv/math_instruct | |
Factor 4410*u**3 + 2625*u**2 + 220*u + 5.\n | 5*(2*u + 1)*(21*u + 1)**2\n | ibivibiv/math_instruct | |
How many micrometers are there in thirteen quarters of a centimeter?\n | 32500\n | ibivibiv/math_instruct | |
Solve -j + 5*m - 46 = 0, 13*m + 30 = 2*j - 7*j + 91*m - 73*m for j.\n | 4\n | ibivibiv/math_instruct | |
Expand ((-1 - 3 + 3)*(y - y - y) - 3 + 2*y + 3)*(-8*y - 30 + 6*y + 54).\n | -6*y**2 + 72*y\n | ibivibiv/math_instruct | |
Does 8 divide 2915617321?\n | False\n | ibivibiv/math_instruct | |
What is the biggest value in -2/7, -2.2, -2/5, 0.15626?\n | 0.15626\n | ibivibiv/math_instruct | |
What is y in 324*y**4 + 14472*y**3 + 9440*y**2 - 2816*y = 0?\n | -44, -8/9, 0, 2/9\n | ibivibiv/math_instruct | |
What is the second biggest value in 4757, 1, 4?\n | 4\n | ibivibiv/math_instruct | |
b"What is the wth term of 11281, 8541, 5801, 3061, 321?\n" | -2740*w + 14021\n | ibivibiv/math_instruct | |
Is ((-29)/10 - (-1)/(-10))/(12/(-468332)) composite?\n | True\n | ibivibiv/math_instruct | |
Which is the fourth smallest value? (a) 2/23 (b) 0.1605831 (c) 2/11 (d) 2/17\n | c\n | ibivibiv/math_instruct | |
Let g be (18/15)/((-1)/((-20)/(-6))). Let q be (-16 - g)*6/(-12). Let c(a) = a**2 - a + 1. Let t(m) = -5*m**3 + 6*m**2 - 6*m + 6. Determine q*c(w) - t(w).\n | 5*w**3\n | ibivibiv/math_instruct | |
Is 132033107 a composite number?\n | True\n | ibivibiv/math_instruct | |
Let z = -2 + 0. Let s = -2.4 - z. Let u be 4/(-12) - (-14)/60. What is the smallest value in u, 0.3, s?\n | s\n | ibivibiv/math_instruct | |
b"What is the ath term of -263, -212, -157, -98, -35, 32?\n" | 2*a**2 + 45*a - 310\n | ibivibiv/math_instruct | |
Round 5.9682 to 1 dp.\n | 6\n | ibivibiv/math_instruct | |
Let u(c) = c**3 - 30*c**2 - 190*c - 67. Give u(36).\n | 869\n | ibivibiv/math_instruct | |
What is the value of 1 - (3 - 3 - 13 - -46)?\n | -32\n | ibivibiv/math_instruct | |
Let h(s) = 6*s**2. Let u(i) = 7*i**2 + 1. Suppose 0 = r - 3*w - 48 - 54, -2*r + 2*w + 224 = 0. Let f = 10 + 109. Let c = f - r. Give c*u(v) - 3*h(v).\n | -4*v**2 + 2\n | ibivibiv/math_instruct | |
Let q(r) be the first derivative of 2*r**3/3 - r**2/2 - 2*r - 1. Let h be q(2). Suppose h*u = 16 - 0. Solve 2*v = u*v for v.\n | 0\n | ibivibiv/math_instruct | |
Suppose 0 = -2*m - m + 36. Let u = 9 + -9. Solve u*l + m = -3*l for l.\n | -4\n | ibivibiv/math_instruct | |
What is -26 less than 0.4439472?\n | 26.4439472\n | ibivibiv/math_instruct | |
Let x = 0.01 + -0.51. Let q = -1 - -4. Let n = 0.1 - 0.1. Put q, n, x in descending order.\n | q, n, x\n | ibivibiv/math_instruct | |
What is the second biggest value in 8/3, 38/15, 2/13?\n | 38/15\n | ibivibiv/math_instruct | |
Sort 4, -5, 30 in increasing order.\n | -5, 4, 30\n | ibivibiv/math_instruct | |
Divide -125 by -1055.\n | 25/211\n | ibivibiv/math_instruct | |
Suppose -3*a + 28 = a + 4*m, -m - 1 = 0. Let j = 1 - 9. Let y be 34/a + 2/j. Calculate the highest common factor of 20 and y.\n | 4\n | ibivibiv/math_instruct | |
What is the units digit of 2105848732?\n | 2\n | ibivibiv/math_instruct | |
What is -2.421 times -1480?\n | 3583.08\n | ibivibiv/math_instruct | |
Let g = -13 - -14. Let y be -4*(g*-3 - (-72)/32). Solve 6*r = y*r + 12 for r.\n | 4\n | ibivibiv/math_instruct | |
What is the next term in 87510, 348848, 784392, 1394130, 2178050?\n | 3136140\n | ibivibiv/math_instruct | |
Evaluate ((-4)/42)/(6/(-18)).\n | 2/7\n | ibivibiv/math_instruct | |
Let y(m) = -m**3 - m**2 + m - 2. Give y(-3).\n | 13\n | ibivibiv/math_instruct | |
Is 26 a factor of 1586?\n | True\n | ibivibiv/math_instruct | |
Let n be 0/(-1) + (2 - 1). Let s(g) = g**2 - g. Let t be s(n). Suppose j + j - 6 = t. What is the units digit of j?\n | 3\n | ibivibiv/math_instruct | |
Let n = -135 + 132. Let w(f) = 4*f - 1. Let t(o) = 7*o - 2. Determine n*t(z) + 5*w(z).\n | -z + 1\n | ibivibiv/math_instruct | |
Let a(o) be the second derivative of 0*o**2 - 1/3*o**4 - 6*o + 0*o**3 + 0. Let f(p) = -p**2. Calculate f(a(m)).\n | -16*m**4\n | ibivibiv/math_instruct | |
What comes next: 223, -17, -667, -1931, -4013, -7117?\n | -11447\n | ibivibiv/math_instruct | |
What is 297/(-9)*((-125)/15 - -8)?\n | 11\n | ibivibiv/math_instruct | |
Sort -2, 3, 568, -3070, 4, -1, 5.\n | -3070, -2, -1, 3, 4, 5, 568\n | ibivibiv/math_instruct | |
What is prob of sequence dzff when four letters picked without replacement from dddddfdffdddzdfffd?\n | 11/2448\n | ibivibiv/math_instruct | |
Suppose 9 = -4*r + 7*r. Suppose 724 = r*s + f, -36*f + 720 = 3*s - 39*f. What are the prime factors of s?\n | 241\n | ibivibiv/math_instruct | |
Let b = 71 + -74.9. Let j = b - -1.9. Let o = -0.25 + 0.05. What is the third smallest value in j, o, 0.3?\n | 0.3\n | ibivibiv/math_instruct | |
Let d(i) = 2*i - 1. Let u(n) = -5*n + 3. Let t(f) = 11*d(f) + 4*u(f). Let o be (1/(-3))/(2/(-12)). What is t(o)?\n | 5\n | ibivibiv/math_instruct | |
Let b = 124650 - 124623. Let w(o) = o**3 - 4*o**2 + 6*o + 7. What is the remainder when w(5) is divided by b?\n | 8\n | ibivibiv/math_instruct | |
Calculate the common denominator of -73/1505845 and -32/1463.\n | 10540915\n | ibivibiv/math_instruct | |
Let f be ((-8)/6)/(1/9). Let u be (-64)/f + 2/3. List the prime factors of u/(-15) - (-104)/10.\n | 2, 5\n | ibivibiv/math_instruct | |
Let h = -31 + 29. Is h + -1 - (-1668 - 4) a composite number?\n | False\n | ibivibiv/math_instruct | |
What is prob of sequence bc when two letters picked without replacement from clyqcbccqlbb?\n | 1/11\n | ibivibiv/math_instruct | |
What is the next term in -23447, -23677, -23907, -24137, -24367, -24597?\n | -24827\n | ibivibiv/math_instruct | |
Collect the terms in 30*a - 11*a - 4*a.\n | 15*a\n | ibivibiv/math_instruct | |
Find the common denominator of -41/6 and -79/11954.\n | 35862\n | ibivibiv/math_instruct | |
Which is the third biggest value? (a) 0.5 (b) -0.3 (c) -0.9 (d) -2/9 (e) 1984 (f) 38 (g) -17\n | a\n | ibivibiv/math_instruct | |
Let o = -1/103 - 91/1236. Is o smaller than 0?\n | True\n | ibivibiv/math_instruct | |
Subtract -3 from 5.2883625.\n | 8.2883625\n | ibivibiv/math_instruct | |
Let c(p) be the third derivative of p**6/120 + 13*p**5/60 + 13*p**4/24 - 3*p**3/2 + 12*p**2 - 53*p. Calculate c(-12).\n | -21\n | ibivibiv/math_instruct | |
Let p(h) = -8*h**2 + 10*h**2 - h**2 - h + 16. Let j be p(0). Let l be 2 - 6*j/42. Which is smaller: -2/3 or l?\n | -2/3\n | ibivibiv/math_instruct | |
Is 14953877909 a composite number?\n | True\n | ibivibiv/math_instruct | |
Solve x - 102 = -2*g - 111, 183*x = 179*x - g - 1 for x.\n | 1\n | ibivibiv/math_instruct | |
Which is smaller: 60 or -24?\n | -24\n | ibivibiv/math_instruct | |
How many minutes are there between 6:36 AM and 2:46 PM?\n | 490\n | ibivibiv/math_instruct | |
1476 divided by -3\n | -492\n | ibivibiv/math_instruct | |
Let w(d) be the third derivative of 13*d**5/60 + d**4/8 + d**3/3 - 8*d**2. Let s be w(-1). What is the units digit of s/16 + (-42)/(-8)?\n | 6\n | ibivibiv/math_instruct |
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