instruction_seed stringlengths 5 2.9k | response_seed stringlengths 3 9.55k | input stringclasses 1
value | _source stringclasses 1
value |
|---|---|---|---|
What is 0.6997492um in nanometers?\n | 699.7492\n | ibivibiv/math_instruct | |
Let a(b) = -15*b + 510. Let s(u) = -u + 30. Give -2*a(m) + 35*s(m).\n | -5*m + 30\n | ibivibiv/math_instruct | |
Let g = -84 - -84. Suppose 0 = 4*t - 5*l - g*l - 9, 0 = -4*t - 2*l + 30. Let x(w) = 25*w**2 - t*w**2 - 13 + 13. Let y(m) = 2*m**2. Give y(x(s)).\n | 722*s**4\n | ibivibiv/math_instruct | |
Calculate the remainder when 30266465 is divided by 5816.\n | 1\n | ibivibiv/math_instruct | |
Solve -502977 = -3807*l - 72786 for l.\n | 113\n | ibivibiv/math_instruct | |
List the prime factors of 8179.\n | 8179\n | ibivibiv/math_instruct | |
Is 13714 a composite number?\n | True\n | ibivibiv/math_instruct | |
Let u(t) = 45*t**3 - 5*t**2. Let l(v) = 22*v**3 - 3*v**2. What is 5*l(w) - 3*u(w)?\n | -25*w**3\n | ibivibiv/math_instruct | |
Calculate -99.819439572 + -98.\n | -197.819439572\n | ibivibiv/math_instruct | |
Is 116946769 composite?\n | True\n | ibivibiv/math_instruct | |
Suppose -l - 29 = -5*j + 8, -5*l = 3*j - 39. Suppose 4*g + 40 = j*g. Let d(s) = -s**3 + 9*s**2 + 12*s - 5. What is the tens digit of d(g)?\n | 1\n | ibivibiv/math_instruct | |
What is the highest common factor of 15792 and 99264?\n | 2256\n | ibivibiv/math_instruct | |
Let g(b) = -85*b - 109. Let z be g(15). Let x = 2425 + z. Is x a prime number?\n | False\n | ibivibiv/math_instruct | |
Let n = 35 + -22. Let m = -12 + n. Is m bigger than -1/10?\n | True\n | ibivibiv/math_instruct | |
Is 3090383 a prime number?\n | True\n | ibivibiv/math_instruct | |
Let x = 7 - 6. Let z be (x - 5) + 9 + -1. Let k(d) = -d**3 + 5*d**2 - 2*d - 4. Let y be k(3). Solve z*l + r - y = -4*r, -5*l - r + 10 = 0 for l.\n | 2\n | ibivibiv/math_instruct | |
Collect the terms in -49845*m**3 + 8*m + 49826*m**3 - 8*m.\n | -19*m**3\n | ibivibiv/math_instruct | |
What comes next: 1752485401, 1752485403, 1752485407, 1752485413, 1752485421, 1752485431?\n | 1752485443\n | ibivibiv/math_instruct | |
Let j(n) = -4*n - n**3 - 2 + 6 + n + 4*n**2. Let s be j(4). Calculate the smallest common multiple of 4 and (-4)/s + (-1)/(-2).\n | 4\n | ibivibiv/math_instruct | |
Evaluate 14/((-896)/12)*(-88)/231.\n | 1/14\n | ibivibiv/math_instruct | |
Let x = 15 + -7. Let z = -14.78 + 22.416. Let b = x - z. Round b to 2 decimal places.\n | 0.36\n | ibivibiv/math_instruct | |
Is 6691 at least as big as 6691?\n | True\n | ibivibiv/math_instruct | |
Find the common denominator of -25/803 and 73/10076.\n | 735548\n | ibivibiv/math_instruct | |
Evaluate 40/(-92)*7268/(-790).\n | 4\n | ibivibiv/math_instruct | |
Write an educational piece suited for college students related to the following text snippet:
"# Math Help - Symmetric Difference
1. ## Symmetric Difference
The symmetric difference of A and B is
(a) $(A-B) \cap (B-A)$
(b) $(A-B)\cup (B-A)$
(c) $(A \cup B) - (A \cap B)$
(d) $\{(A \cup B)-A\} \cup \{(A \cup B)-B\}$
I... | The symmetric difference of two sets is a fundamental concept in set theory, which involves comparing the elements of two sets and identifying those that appear in either one or the other, but not both. This idea has wide-ranging applications across various fields, including mathematics, computer science, statistics, ... | ibivibiv/math_instruct | |
What is 1732 rounded to the nearest 100?\n | 1700\n | ibivibiv/math_instruct | |
b"What is the yth term of 6, 0, -12, -30?\n" | -3*y**2 + 3*y + 6\n | ibivibiv/math_instruct | |
Subtract 0.0635 from 0.5.\n | 0.4365\n | ibivibiv/math_instruct | |
Let l = 1.3 - -1.5. Let n = 30 - 27. Let t = l - n. Which is the second smallest value? (a) -1/7 (b) t (c) 0.4\n | a\n | ibivibiv/math_instruct | |
What is (-4)/6 - (-260)/(-195)?\n | -2\n | ibivibiv/math_instruct | |
What is the common denominator of 37/4180 and -39/149600?\n | 2842400\n | ibivibiv/math_instruct | |
What is the common denominator of -55/2968 and -89/11702824?\n | 11702824\n | ibivibiv/math_instruct | |
Let p(w) = -4*w**2. Let i(r) = -3*r**2 + 1. Calculate p(i(v)).\n | -36*v**4 + 24*v**2 - 4\n | ibivibiv/math_instruct | |
Differentiate 17656*g + 74266 wrt g.\n | 17656\n | ibivibiv/math_instruct | |
What is the third smallest value in 0.1, 4, 0.3, 0.4, 46?\n | 0.4\n | ibivibiv/math_instruct | |
(3/(-10))/((-192)/(-160))*180/(-15)\n | 3\n | ibivibiv/math_instruct | |
Simplify ((sqrt(13) - (sqrt(13) - (sqrt(468) + -1 + sqrt(468)))) + sqrt(39)/sqrt(300))**2.\n | -121*sqrt(13)/5 + 190433/100\n | ibivibiv/math_instruct | |
What is the highest common factor of 406909 and 215?\n | 43\n | ibivibiv/math_instruct | |
What is the square root of 1619637940 to the nearest integer?\n | 40245\n | ibivibiv/math_instruct | |
Let l be (531/(-12))/((-18)/192). Suppose 8*k + 0 - 416*k**2 - 34*k**3 - 30*k**4 + l*k**2 + 0 = 0. What is k?\n | -2, -2/15, 0, 1\n | ibivibiv/math_instruct | |
Let b(d) = -d**2. Let u(h) = -13960*h. Give u(b(w)).\n | 13960*w**2\n | ibivibiv/math_instruct | |
Suppose 0 = 2*z + 2, 7 = b - 5*z - 15. Suppose 0 = -68*k + 290 - 154. Is k != b?\n | True\n | ibivibiv/math_instruct | |
Let k = 0.002 + 35.998. Let i = k + -26. Let v = i + -10.2. Which is the third smallest value? (a) -1 (b) 2/3 (c) v\n | b\n | ibivibiv/math_instruct | |
Let z be 14/8 + 4/16 - -30. Let b = z + 391. Let q = -1693 + b. What is q rounded to the nearest 100?\n | -1300\n | ibivibiv/math_instruct | |
Calculate the remainder when 191 is divided by (5/(30/12))/((-3)/(-72)).\n | 47\n | ibivibiv/math_instruct | |
What comes next: 4755, 4624, 4447, 4200, 3859, 3400, 2799, 2032?\n | 1075\n | ibivibiv/math_instruct | |
Three letters picked without replacement from {g: 1, d: 8, r: 6}. Give prob of sequence rdr.\n | 8/91\n | ibivibiv/math_instruct | |
b"What is the vth term of -707, -1323, -1951, -2597, -3267, -3967, -4703?\n" | -v**3 - 609*v - 97\n | ibivibiv/math_instruct | |
What is the fourth biggest value in -9/22, -2/5, -4, -0.5, -4.42?\n | -4\n | ibivibiv/math_instruct | |
Which is the biggest value? (a) 0.1 (b) 261 (c) -0.18 (d) -0.1 (e) 0.3 (f) -0.01\n | b\n | ibivibiv/math_instruct | |
Let a(v) = 1530027*v**2 - v + 1. Let b be a(1). Let s = b - 10027. Round s to the nearest 1000000.\n | 2000000\n | ibivibiv/math_instruct | |
Let a(c) = -1827*c + 20088. Determine a(11).\n | -9\n | ibivibiv/math_instruct | |
Is 140126036293 prime?\n | True\n | ibivibiv/math_instruct | |
Let f(u) = -2*u**2 - 154*u - 586. Determine f(-4).\n | -2\n | ibivibiv/math_instruct | |
Calculate -161232342*0.04.\n | -6449293.68\n | ibivibiv/math_instruct | |
Simplify o**(-16)*o**(2/29)/o assuming o is positive.\n | o**(-491/29)\n | ibivibiv/math_instruct | |
Differentiate -18*s**3*x - 174*s**3 + 4*s**2*x**3 with respect to x.\n | -18*s**3 + 12*s**2*x**2\n | ibivibiv/math_instruct | |
Suppose -t + 6 = 4, -11 = w - 3*t. Sort 1, w, -6, -4 in decreasing order.\n | 1, -4, w, -6\n | ibivibiv/math_instruct | |
Collect the terms in 674*s - 394*s + 94*s + 938*s.\n | 1312*s\n | ibivibiv/math_instruct | |
What is the nearest to 175 in 3, 4, 8/3, -2?\n | 4\n | ibivibiv/math_instruct | |
Let g = 3/41 + -79/1640. Let l(m) be the third derivative of 1/8*m**4 - 3*m**2 + 0*m + 0 + 0*m**3 - g*m**6 + 0*m**5. Factor l(u).\n | -3*u*(u - 1)*(u + 1)\n | ibivibiv/math_instruct | |
Polly the parakeet tweets all day long. When she is happy, she tweets 18 times per minute. When she is hungry, she tweets 4 times per minute. And when she watches herself in the mirror, she tweets 45 times per minute. During a time period where she is happy for 20 minutes, hungry for 20 minutes, and watches her ref... | To solve this problem, we need to determine the value of x, which represents the number of minutes Polly watches her reflection.
Let's break down the information given:
Number of tweets per minute when Polly is happy: 18
Number of tweets per minute when Polly is hungry: 4
Number of tweets per minute when Polly watches ... | ibivibiv/math_instruct | |
Calculate the greatest common divisor of 2080 and 16800.\n | 160\n | ibivibiv/math_instruct | |
Let u(n) = n - 1. Let r be u(0). Let z = -105 + 105. Let d = 2248 + -2262. Which is the nearest to z? (a) d (b) 1/7 (c) r\n | b\n | ibivibiv/math_instruct | |
What is the greatest common factor of 462294 and 57078?\n | 378\n | ibivibiv/math_instruct | |
Solve -3*p = a + 7 - 4, -3*p = -4*a + 18 for p.\n | -2\n | ibivibiv/math_instruct | |
What is the tens digit of 1121?\n | 2\n | ibivibiv/math_instruct | |
Simplify ((h**19*h)/h**(4/7))/(h/(h/(h**(2/11)/h)))**(3/4) assuming h is positive.\n | h**(6173/308)\n | ibivibiv/math_instruct | |
What is prob of picking 1 f and 3 g when four letters picked without replacement from fggggggggggggggggg?\n | 2/9\n | ibivibiv/math_instruct | |
List the prime factors of 149913113.\n | 7, 89, 240631\n | ibivibiv/math_instruct | |
Round 0.000003867130668 to 7 decimal places.\n | 0.0000039\n | ibivibiv/math_instruct | |
Expand (-1 + 2*t + t + t)*(-6*t**2 - 127*t - 1 + 127*t).\n | -24*t**3 + 6*t**2 - 4*t + 1\n | ibivibiv/math_instruct | |
Expand (h - 1 + 1)*(-180*h**4 - 603*h**2 + 603*h**2).\n | -180*h**5\n | ibivibiv/math_instruct | |
What is the common denominator of -29/78017661 and 29/78017661?\n | 78017661\n | ibivibiv/math_instruct | |
Let f = 332.9 + -332.4. What is the second smallest value in f, 348, 3/2?\n | 3/2\n | ibivibiv/math_instruct | |
Let i(h) = 78078*h - 4684664. Determine i(60).\n | 16\n | ibivibiv/math_instruct | |
Differentiate 16*q**4 + 40 wrt q.\n | 64*q**3\n | ibivibiv/math_instruct | |
What is 22.2669 centuries in millennia?\n | 2.22669\n | ibivibiv/math_instruct | |
What is -0.8968038 rounded to 2 dps?\n | -0.9\n | ibivibiv/math_instruct | |
What is the result of the following expression?
(-34.9011 - -98.7998) - (67.9602 / -92.7789) | 64.6312 | ibivibiv/math_instruct | |
Let v = -105 - -101. Let b be (-4)/6*3/6. What is the closest to 3 in b, v, -0.3?\n | -0.3\n | ibivibiv/math_instruct | |
Let l = 2455 + -1976. Is l a multiple of 60?\n | False\n | ibivibiv/math_instruct | |
Let g be (-33)/(-6) - (-1 + 2). Suppose -4*s = -0*w + 2*w - 4, 4*w - 19 = 3*s. Is g > w?\n | True\n | ibivibiv/math_instruct | |
What is the value of 15 + (3 - (-6 - -5)) + (0 - (15 - -37))?\n | -33\n | ibivibiv/math_instruct | |
What is prob of picking 2 l when two letters picked without replacement from lgzlllhhlhgg?\n | 5/33\n | ibivibiv/math_instruct | |
Find the second derivative of -47168*k**3*m**2 - 4*k**3*m - 237*k*m**2 - 105*m**2 wrt k.\n | -283008*k*m**2 - 24*k*m\n | ibivibiv/math_instruct | |
Round -0.01406949 to four decimal places.\n | -0.0141\n | ibivibiv/math_instruct | |
Which is the fourth biggest value? (a) -50 (b) -3 (c) -1/4 (d) -0.3\n | a\n | ibivibiv/math_instruct | |
Let h(g) be the third derivative of g**5/60 - 3*g**2 + 94. Let f(l) = -6*l**2 + 9. Let n(u) = -3*u**2 + 5. Let d(j) = 5*f(j) - 9*n(j). Calculate d(h(i)).\n | -3*i**4\n | ibivibiv/math_instruct | |
Simplify 2*2*sqrt(20)/sqrt(4).\n | 4*sqrt(5)\n | ibivibiv/math_instruct | |
What is the hundred thousands digit of 1858140?\n | 8\n | ibivibiv/math_instruct | |
What is the closest to -11/3 in -5, 8/24967, 0?\n | -5\n | ibivibiv/math_instruct | |
Let d = 11 + -31. Let h = d + 18. Which is the third smallest value? (a) -2/17 (b) h (c) 5\n | c\n | ibivibiv/math_instruct | |
How many minutes are there between 6:38 AM and 12:38 PM?\n | 360\n | ibivibiv/math_instruct | |
Let v(x) = 13*x**4 - 49*x**2 - 9*x - 9. Let l(c) = -3*c**4 + 12*c**2 + 2*c + 2. Let t(m) = -9*l(m) - 2*v(m). What is the third derivative of t(z) wrt z?\n | 24*z\n | ibivibiv/math_instruct | |
Calculate the smallest common multiple of 105924 and 873.\n | 317772\n | ibivibiv/math_instruct | |
Calculate 420 divided by 105.\n | 4\n | ibivibiv/math_instruct | |
Solve -3*o + 3*a - 123 = 0, -1730265 = -2*o - 4*a - 1730089 for o.\n | 2\n | ibivibiv/math_instruct | |
Let m(x) = 2*x**2 - 4*x + 4. Let f = -138 + 141. Determine m(f).\n | 10\n | ibivibiv/math_instruct | |
Calculate 0.66*-0.0271.\n | -0.017886\n | ibivibiv/math_instruct |
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