instruction_seed stringlengths 5 2.9k | response_seed stringlengths 3 9.55k | input stringclasses 1
value | _source stringclasses 1
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|---|---|---|---|
Suppose -6*q = -17*q + 22. Let m(l) = -4*l**2 - 3*l**2 - q + 6*l**2. Give m(0).\n | -2\n | ibivibiv/math_instruct | |
Let j be (-40)/175 - 1/5. Let t = -41/63 - j. Put -2/3, t, 0.1 in descending order.\n | 0.1, t, -2/3\n | ibivibiv/math_instruct | |
How many minutes are there between 8:19 AM and 6:06 PM?\n | 587\n | ibivibiv/math_instruct | |
Write an educational piece suited for college students related to the following text snippet:
"# Rewrite each of the following sentences using logical connectives
Rewrite each of the following sentences using logical connectives. Assume that each symbol $$f, x_0, n, x, S, B$$ represents some fixed object.
(a) If $$f$... | When encountering mathematical statements, it's essential to understand how to rewrite them using logical connectives. This skill allows us to break down complex ideas into simpler components and clarify their relationships. Here, I will explain how to rewrite given sentences using various logical connectives while fo... | ibivibiv/math_instruct | |
Suppose 0 = -13*i + 2*i + 11. Sort 4, i, 3 in descending order.\n | 4, 3, i\n | ibivibiv/math_instruct | |
Let o = 14 - -22. Let k = -81 - -45. Let j = k + o. Which is smaller: -1/9 or j?\n | -1/9\n | ibivibiv/math_instruct | |
What is -4 divided by 1?\n | -4\n | ibivibiv/math_instruct | |
What is the third biggest value in -25/59, 1744, -1, -5?\n | -1\n | ibivibiv/math_instruct | |
Let j be -7*(-5)/(-490)*4. Let n = -1/30 + -113/210. Let m be (0 + (0 - -1))*1. Which is the closest to 2/9? (a) j (b) m (c) n\n | a\n | ibivibiv/math_instruct | |
Rearrange 23 + 8*o + 2 + 6*o**2 - 14*o + 6*o to the form w*o**2 + j*o + p and give p.\n | 25\n | ibivibiv/math_instruct | |
Find the common denominator of -67/6640 and 31/24.\n | 19920\n | ibivibiv/math_instruct | |
Let c be -3*1/(-2)*2. Let m be (3 - -2) + -1*c. Suppose -m*u - 40 = -16. Is u not equal to -11?\n | True\n | ibivibiv/math_instruct | |
Calculate prob of sequence xi when two letters picked without replacement from {x: 3, m: 3, z: 6, i: 5}.\n | 15/272\n | ibivibiv/math_instruct | |
Put 3/2, -4, -2/15, -410, 3/4, 2 in decreasing order.\n | 2, 3/2, 3/4, -2/15, -4, -410\n | ibivibiv/math_instruct | |
b"What is the qth term of -14684, -26871, -39072, -51293, -63540, -75819, -88136?\n" | -q**3 - q**2 - 12177*q - 2505\n | ibivibiv/math_instruct | |
Suppose 29*p - 42*p = -27*p. Let b = 15 - 15. Solve 3*n - 3 + p = b for n.\n | 1\n | ibivibiv/math_instruct | |
In base 10, what is 6580146 + -2?\n | 6580144\n | ibivibiv/math_instruct | |
Rearrange (12*d**2 - 31*d**2 + 108*d**2 + (-3 + 3 + 2*d)*(3 - 3 + 5*d))*(-2 - d + 2) to the form w*d**2 + u*d + a*d**3 + p and give p.\n | 0\n | ibivibiv/math_instruct | |
Collect the terms in 2 - 3 + 18*k**2 + 10*k**2.\n | 28*k**2 - 1\n | ibivibiv/math_instruct | |
Solve 9*y = 10*y + l - 1, -2*l = 3*y - 1 for y.\n | -1\n | ibivibiv/math_instruct | |
Is 572 a multiple of 13?\n | True\n | ibivibiv/math_instruct | |
Is 785650579 prime?\n | False\n | ibivibiv/math_instruct | |
Is 7 a factor of 165564?\n | True\n | ibivibiv/math_instruct | |
Suppose -4*d - 4*a = -316, 20*d + 2*a - 322 = 16*d. Calculate the smallest common multiple of d and 6.\n | 246\n | ibivibiv/math_instruct | |
What is the nearest to 0 in 0.05, 114/23, 0.3, -0.2?\n | 0.05\n | ibivibiv/math_instruct | |
Is 1 greater than or equal to 45/264938?\n | True\n | ibivibiv/math_instruct | |
What is the product of -31.78 and -2.2?\n | 69.916\n | ibivibiv/math_instruct | |
Put -6, -2, -0.4, 34 in increasing order.\n | -6, -2, -0.4, 34\n | ibivibiv/math_instruct | |
Suppose -5*r - 635 + 9106 = -4*v, r + 5*v = 1700. Calculate the remainder when r is divided by 27.\n | 21\n | ibivibiv/math_instruct | |
Let p = 481/3 - 159. Which is the fourth smallest value? (a) -5 (b) p (c) 2 (d) -4\n | c\n | ibivibiv/math_instruct | |
Suppose -56 = d + 2*w, 0*w - 97 = 2*d + w. Let o = d - -49. Is 4447/o - 28/21 a composite number?\n | False\n | ibivibiv/math_instruct | |
Let i = -1093/78 + 180/13. Which is the fourth smallest value? (a) 2 (b) -0.4 (c) i (d) -82/9\n | a\n | ibivibiv/math_instruct | |
List the prime factors of 123621995.\n | 5, 7, 37, 95461\n | ibivibiv/math_instruct | |
Let n(a) = -11*a - 91. What is the remainder when 234 is divided by n(-15)?\n | 12\n | ibivibiv/math_instruct | |
How many seconds are there in sixty-seven fifths of a hour?\n | 48240\n | ibivibiv/math_instruct | |
Suppose c = -5 + 8. Suppose -16 = -b + 4*j, -c*j + 23 = -4*b + 100. Solve 3*a + 40 = -5*f, -f - 3*a + 0*a = b for f.\n | -5\n | ibivibiv/math_instruct | |
How many minutes are there between 6:27 AM and 6:47 AM?\n | 20\n | ibivibiv/math_instruct | |
What is 7612.325us in nanoseconds?\n | 7612325\n | ibivibiv/math_instruct | |
Which is the nearest to -0.1? (a) 9/5 (b) 0.4 (c) -0.123\n | c\n | ibivibiv/math_instruct | |
What comes next: 175394, 175273, 175048, 174713, 174262?\n | 173689\n | ibivibiv/math_instruct | |
What is 37971066 to the power of 1/3, to the nearest integer?\n | 336\n | ibivibiv/math_instruct | |
What are the prime factors of 3227?\n | 7, 461\n | ibivibiv/math_instruct | |
What is the result of the following expression?
(-91.911 % 90.387) % (27.876 + 47.611) | 13.3760 | ibivibiv/math_instruct | |
Suppose 3*s + 30 = 5*j, -10 = -4*j + 2*s + 12. Find the third derivative of i**4 + j*i**4 + 3*i**2 + 2*i**6 - 4*i**4 wrt i.\n | 240*i**3\n | ibivibiv/math_instruct | |
Calculate prob of sequence qkru when four letters picked without replacement from {u: 1, r: 1, q: 5, k: 10}.\n | 5/5712\n | ibivibiv/math_instruct | |
Simplify (((x**(-1/5)/(x**(1/16)/x))/(x/(x**14*x)*x/x**2))**(1/24))**(1/19) assuming x is positive.\n | x**(1259/36480)\n | ibivibiv/math_instruct | |
What is -9395 divided by 5?\n | -1879\n | ibivibiv/math_instruct | |
Differentiate 10341411*r**2 - r + 115901613.\n | 20682822*r - 1\n | ibivibiv/math_instruct | |
Let u = -6 - -2. Let b be 2 + (2/(-2) - u). Let n = -5 - -8. Solve 12 = -5*c + t, b*c - 3*t + n + 3 = 0 for c.\n | -3\n | ibivibiv/math_instruct | |
Let l = -7 + 1. Let m = l + 9. Suppose z + 0*u = m*u - 11, 21 = 4*z + u. Solve -3*a - 9 = -z*w, a - w + 2 = -0*w for a.\n | 1\n | ibivibiv/math_instruct | |
Let f = 393 + -391. Sort -5, f, 9, 0 in ascending order.\n | -5, 0, f, 9\n | ibivibiv/math_instruct | |
Express 2*u**2 + 0*u**2 + 0*u**2 + (u - 6*u + u)*(0 - 2*u + 0) + 1 - 3*u**2 - 1 - 2 + 4 - u**2 - 3 as l + k*u**2 + a*u and give k.\n | 6\n | ibivibiv/math_instruct | |
Let o be 9/(-10) - 7/70. Let f be (-154)/(-14)*(o + -36). Let i = f + 578. Does 19 divide i?\n | True\n | ibivibiv/math_instruct | |
Let v(f) = 160*f**2 - 16549*f + 16587. Let o(t) = -116*t**2 + 12412*t - 12440. Let r(c) = -11*o(c) - 8*v(c). Factor r(w).\n | -4*(w - 1)*(w + 1036)\n | ibivibiv/math_instruct | |
What is the next term in 0, -64, -166, -306, -484, -700, -954?\n | -1246\n | ibivibiv/math_instruct | |
What is the nearest to -0.3 in 1, 675, 2, -7, 0.2?\n | 0.2\n | ibivibiv/math_instruct | |
Suppose 0 = -5*l + 2*l + 21. Suppose -3*p - l = -16. Solve j + 1 = -4*a - 1, -p*j - 6 = -3*a for j.\n | -2\n | ibivibiv/math_instruct | |
Collect the terms in -3*b**2 - 2*b**2 - b**2.\n | -6*b**2\n | ibivibiv/math_instruct | |
Calculate the common denominator of -37/28293 and 23/27009.\n | 254721879\n | ibivibiv/math_instruct | |
Let f = 196 + -185. Suppose -6*s = -5*s - 2. Suppose s*a + 2*a = 4. Solve -4*w = f + a for w.\n | -3\n | ibivibiv/math_instruct | |
What is the tens digit of 95443?\n | 4\n | ibivibiv/math_instruct | |
Is 54/197 at least -1?\n | True\n | ibivibiv/math_instruct | |
Calculate prob of sequence nd when two letters picked without replacement from {d: 1, n: 3}.\n | 1/4\n | ibivibiv/math_instruct | |
Is 23 a factor of 120/(-80) + (-63)/(-2)?\n | False\n | ibivibiv/math_instruct | |
What is -215400 divided by -1077?\n | 200\n | ibivibiv/math_instruct | |
What comes next: -1, 2, 5, 2, -13, -46?\n | -103\n | ibivibiv/math_instruct | |
What is the highest common divisor of 44693 and 478?\n | 239\n | ibivibiv/math_instruct | |
What is the third derivative of -103080*y**5 + 156751*y**2 wrt y?\n | -6184800*y**2\n | ibivibiv/math_instruct | |
What is prob of picking 2 c and 1 b when three letters picked without replacement from ccxmkxb?\n | 1/35\n | ibivibiv/math_instruct | |
Is 64 > 30436?\n | False\n | ibivibiv/math_instruct | |
What is (0 - (-2 - -13)) + -499 + 244 + 309?\n | 43\n | ibivibiv/math_instruct | |
Let b(m) = -4*m. Let y(c) be the second derivative of -c**4/6 - 104*c**3/3 + 7810*c. What is y(b(t))?\n | -32*t**2 + 832*t\n | ibivibiv/math_instruct | |
Is 44 a factor of 9223?\n | False\n | ibivibiv/math_instruct | |
Evaluate 63 - 46 - (6 - 3).\n | 14\n | ibivibiv/math_instruct | |
What is the closest to -0.004 in -9, -2/3, 1, -3, 303?\n | -2/3\n | ibivibiv/math_instruct | |
What is the smallest common multiple of 6 and 1251462?\n | 1251462\n | ibivibiv/math_instruct | |
Calculate (270/135*1/(-10))/((-6)/21).\n | 7/10\n | ibivibiv/math_instruct | |
Simplify (v*(v*v/v**(1/2))/v)**(1/18)/(v*v**(-2/3)*v*v/((v*(v**(-5/4)/v)/v*v)/v)) assuming v is positive.\n | v**(-9/2)\n | ibivibiv/math_instruct | |
Is 11 a factor of 1441?\n | True\n | ibivibiv/math_instruct | |
Let j be ((-6)/(-4))/(2/4). Suppose 0 = -j*x - r + 114, x = 3*r + 2*r + 54. Is x a composite number?\n | True\n | ibivibiv/math_instruct | |
Let c = -71 + 239. Calculate the highest common factor of 48 and c.\n | 24\n | ibivibiv/math_instruct | |
Suppose 8*p - 3 = 7*p. Suppose 4*b = -p*a + 212, 4*a - 284 = -5*b + b. What is the tens digit of a?\n | 7\n | ibivibiv/math_instruct | |
Let i(q) = -q**3 + 11*q**2 - 89*q + 982. Let x be i(11). Which is the biggest value? (a) 1/39 (b) 0.8 (c) x (d) -10\n | c\n | ibivibiv/math_instruct | |
List the prime factors of 180338107.\n | 47, 227, 16903\n | ibivibiv/math_instruct | |
Collect the terms in -17*s**3 - 105*s**3 + 17 - 17.\n | -122*s**3\n | ibivibiv/math_instruct | |
Collect the terms in 2239 - 2239 + 321*t**2 + 301*t**2 - 620*t**2.\n | 2*t**2\n | ibivibiv/math_instruct | |
Is 168409 prime?\n | True\n | ibivibiv/math_instruct | |
Collect the terms in -12065*f**2 + 4026*f**2 + 4017*f**2 + 231*f**3 + 4022*f**2.\n | 231*f**3\n | ibivibiv/math_instruct | |
Let p be (-12)/(-54) - 4/18. Let q = p - -10. Calculate the least common multiple of q and 11.\n | 110\n | ibivibiv/math_instruct | |
Does 320 divide 79771?\n | False\n | ibivibiv/math_instruct | |
Calculate (((-7548)/370)/(-102))/((-3)/(-33)).\n | 11/5\n | ibivibiv/math_instruct | |
In base 6, what is 51 + 2?\n | 53\n | ibivibiv/math_instruct | |
Suppose 2*n + 3*n = 3*f - 1, 2*f = -n + 5. Put 2, -4, -1, n in ascending order.\n | -4, -1, n, 2\n | ibivibiv/math_instruct | |
What is the nearest to 8 in 498, -2/15, -0.1, 2.9, -1/3?\n | 2.9\n | ibivibiv/math_instruct | |
b"What is the nth term of 5862069, 11724140, 17586211, 23448282, 29310353, 35172424?\n" | 5862071*n - 2\n | ibivibiv/math_instruct | |
-684db (base 14) to base 11\n | -163447\n | ibivibiv/math_instruct | |
Four letters picked without replacement from {z: 4}. What is prob of sequence zzzz?\n | 1\n | ibivibiv/math_instruct | |
Suppose -24*n = -340528 - 629528. What is the thousands digit of n?\n | 0\n | ibivibiv/math_instruct | |
Let i(s) be the first derivative of -2*s**5/5 + s**4/4 + 11*s**3/3 + 11*s**2/2 + 3*s - 5. Suppose i(d) = 0. Calculate d.\n | -1, -1/2, 3\n | ibivibiv/math_instruct | |
What is the result of the following expression?
(37.6027 - 50.3647) * (18.8934 * 78.1142) | -18834.7061 | ibivibiv/math_instruct |
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