instruction_seed stringlengths 5 2.9k | response_seed stringlengths 3 9.55k | input stringclasses 1
value | _source stringclasses 1
value |
|---|---|---|---|
Are -3309116 and -3309116 non-equal?\n | False\n | ibivibiv/math_instruct | |
What is 7/4 of a centimeter in micrometers?\n | 17500\n | ibivibiv/math_instruct | |
Solve -2*m + 50*c = 6, 5*m + 15 = -3*c + 5*c for m.\n | -3\n | ibivibiv/math_instruct | |
Solve 9*r = -18, -534*n - r - 87 = -539*n for n.\n | 17\n | ibivibiv/math_instruct | |
Is 3833422309 prime?\n | False\n | ibivibiv/math_instruct | |
Suppose 53310 = 3*k + 4*q - 2493, 5*q = 5*k - 92970. List the prime factors of k.\n | 3, 6199\n | ibivibiv/math_instruct | |
Calculate the remainder when 534287 is divided by 1058.\n | 1055\n | ibivibiv/math_instruct | |
Is -65 > 591/5?\n | False\n | ibivibiv/math_instruct | |
What is the tens digit of 873?\n | 7\n | ibivibiv/math_instruct | |
9 divided by 31141\n | 9/31141\n | ibivibiv/math_instruct | |
Let n(c) = c**3 - 4*c**2 + 3*c - 10. Let i be n(4). Solve -2*m = i - 0 for m.\n | -1\n | ibivibiv/math_instruct | |
Suppose 3*d + 1 = 4*h - 7, -31 = -4*d - 3*h. Suppose -5*u + w + 90 = 5*w, 0 = 4*u - d*w - 108. What is the tens digit of u?\n | 2\n | ibivibiv/math_instruct | |
Which is the biggest value? (a) -3/7 (b) 86/3 (c) -2/217\n | b\n | ibivibiv/math_instruct | |
Suppose -3*n + 21 = -3*g, 0 = -5*n + g - 6*g - 5. Suppose -9*x - 5*x**4 + 5526*x**2 - 5520*x**2 - x**4 + 8*x**n + x**5 - x**5 + x**5 = 0. What is x?\n | -1, 0, 1, 3\n | ibivibiv/math_instruct | |
Suppose 8 = -5*n - 2. Let y = 18 + -18.5. Let k(z) = 3*z**3 - 13*z**2 + 19*z - 75. Let v be k(4). What is the closest to n in v, -2/13, y?\n | y\n | ibivibiv/math_instruct | |
Collect the terms in 2 - 2718520*n**2 + 5 - 7.\n | -2718520*n**2\n | ibivibiv/math_instruct | |
What is prob of sequence cmkk when four letters picked without replacement from mlckkfx?\n | 1/420\n | ibivibiv/math_instruct | |
Let j(c) be the third derivative of 1/60*c**5 + 0 - 1/6*c**3 + 1/24*c**4 + 4*c**2 + 0*c - 1/120*c**6. Factor j(z).\n | -(z - 1)**2*(z + 1)\n | ibivibiv/math_instruct | |
Is 7553233 a composite number?\n | True\n | ibivibiv/math_instruct | |
Calculate the highest common factor of 938006 and 692.\n | 346\n | ibivibiv/math_instruct | |
Let w be 3/((-18)/4)*-6. Let q(z) = -z + 1. Let o be q(-4). Let m be (1 - 2) + o/1. Solve -4*t + 19 = u - w*u, -m*u = 20 for t.\n | 1\n | ibivibiv/math_instruct | |
Find the first derivative of i**3*l**2*w + 40*i**3*l - 2*i*l**2*w + 3*i*l**2 - l*w + 12*l - 19*w wrt w.\n | i**3*l**2 - 2*i*l**2 - l - 19\n | ibivibiv/math_instruct | |
Let k be 1/3 - 47/(-3). Suppose 0 = -2*z - 2*z - k. Let r(j) = -2*j**2 - j + 4*j**2 + 6 + 8*j. Give r(z).\n | 10\n | ibivibiv/math_instruct | |
What is the value of ((-6)/(-10))/(((-189)/10)/(-7))?\n | 2/9\n | ibivibiv/math_instruct | |
What comes next: 5935, 5942, 5951, 5962, 5975?\n | 5990\n | ibivibiv/math_instruct | |
Calculate prob of sequence yyn when three letters picked without replacement from myeeeeemymmnmym.\n | 1/455\n | ibivibiv/math_instruct | |
Find the common denominator of 73/2884 and 65/196.\n | 20188\n | ibivibiv/math_instruct | |
Let t(d) = -2*d + 6. Let f be t(5). Let n = f + 41. Is n composite?\n | False\n | ibivibiv/math_instruct | |
Three letters picked without replacement from {o: 1, q: 4, y: 3, h: 5}. Give prob of sequence oqq.\n | 1/143\n | ibivibiv/math_instruct | |
Write an educational piece suited for college students related to the following text snippet:
"# The war game
This Riddler puzzle is about game theory… War or peace?
Two countries are eyeing each other’s gold. At the beginning of the game, the “strength” of each country’s army is drawn from a continuous uniform distr... | Game theory is a branch of mathematics that studies strategic interactions among rational decision-makers. It has wide applications in economics, political science, psychology, computer science, and even biology. In this Riddler puzzle, we encounter a simple yet classic problem in game theory known as "The war game." ... | ibivibiv/math_instruct | |
Put 0, 5937, -27 in increasing order.\n | -27, 0, 5937\n | ibivibiv/math_instruct | |
Suppose -5*z + z + 12 = 0. Does 2 divide z?\n | False\n | ibivibiv/math_instruct | |
What is the third derivative of 5035042*g**4*h**2 - 2285*g**2*h**2 - 150*h**2 wrt g?\n | 120841008*g*h**2\n | ibivibiv/math_instruct | |
Convert -5 (base 15) to base 13.\n | -5\n | ibivibiv/math_instruct | |
Let p(i) = -i - 1. Let n(a) = 3*a - 8. Let h(l) = -n(l) - 4*p(l). Let g(q) = q**2. Give g(h(d)).\n | d**2 + 24*d + 144\n | ibivibiv/math_instruct | |
What is the next term in -28, -10, 8, 26, 44?\n | 62\n | ibivibiv/math_instruct | |
List the prime factors of 2200939531.\n | 7, 314419933\n | ibivibiv/math_instruct | |
Let s(a) = -a**3 - 11*a**2 + 3*a + 11. Let f(p) = -p**3 - 5*p**2 - 5*p - 8. Let h be f(-3). Give s(h).\n | -22\n | ibivibiv/math_instruct | |
Sort -1, 109, 18, 0 in decreasing order.\n | 109, 18, 0, -1\n | ibivibiv/math_instruct | |
Let p be -964*(-2 - 15/(-6)). Let t = p - -903. What are the prime factors of t?\n | 421\n | ibivibiv/math_instruct | |
Which is greater: 178342 or 1/2?\n | 178342\n | ibivibiv/math_instruct | |
What is the first derivative of -166*l**4 - 122*l**3 + 58400 wrt l?\n | -664*l**3 - 366*l**2\n | ibivibiv/math_instruct | |
Is 1667321 composite?\n | False\n | ibivibiv/math_instruct | |
Let f(z) = 6054*z - 34. Let v(u) = 1212*u - 7. What is -6*f(h) + 29*v(h)?\n | -1176*h + 1\n | ibivibiv/math_instruct | |
Is 168 a factor of 320712?\n | True\n | ibivibiv/math_instruct | |
Express (-4*l - 3*l + l)*(4 - 4 - 4) + (1 - 4 + 2)*(2*l - 3*l + 3*l) - l + 4*l + 0*l as c*l + x and give c.\n | 25\n | ibivibiv/math_instruct | |
Find the common denominator of 49/67990 and -59/780.\n | 407940\n | ibivibiv/math_instruct | |
Simplify ((z/z**1)/(z*z/z**4*z*z))**(3/25) assuming z is positive.\n | 1\n | ibivibiv/math_instruct | |
Solve -4/3*d**4 + 0*d**2 + 4*d**3 + 0 + 0*d = 0 for d.\n | 0, 3\n | ibivibiv/math_instruct | |
Write an educational piece suited for college students related to the following text snippet:
"# Revision history [back]
### Finding roots of a polynomial over an extension field
Apologies if I am not articulating this very well. I am still in an early learning phase.
I am trying to find the roots of a polynomial s^... | When working with polynomials in abstract algebra, it is often useful to find their roots in a given field. However, as the provided text snippet demonstrates, implementing this process may encounter challenges depending on the specific context and tools being used. This discussion will delve into the problem presente... | ibivibiv/math_instruct | |
Which is greater: 136411/28 or 4872?\n | 4872\n | ibivibiv/math_instruct | |
Which is the second smallest value? (a) -0.2 (b) -0.3 (c) -5 (d) -0.1 (e) 8\n | b\n | ibivibiv/math_instruct | |
What is 28596596 to the power of 1/3, to the nearest integer?\n | 306\n | ibivibiv/math_instruct | |
What is the value of -3 + (3 - (-5 + -12 + 9))?\n | 8\n | ibivibiv/math_instruct | |
Let o = -3/136 - 79/2584. Is o equal to -1?\n | False\n | ibivibiv/math_instruct | |
How many months are there in 198.3775 millennia?\n | 2380530\n | ibivibiv/math_instruct | |
Suppose 3*l = -2*t + 5*t - 15, -2*t - l + 1 = 0. Which is the nearest to 1? (a) 0.5 (b) t (c) 2/9 (d) -4\n | a\n | ibivibiv/math_instruct | |
What is 144 minutes before 7:33 AM?\n | 5:09 AM\n | ibivibiv/math_instruct | |
Suppose -4*p = 3 - 75. Is (p/(-3))/(4/(-2)) a composite number?\n | False\n | ibivibiv/math_instruct | |
Let w be (30/18)/((-5)/(-18)). Suppose -3*i - 9 = -2*k - w*i, -5*k = 3*i. Which is the smallest value? (a) -2/7 (b) k (c) -1/2 (d) -3/7\n | b\n | ibivibiv/math_instruct | |
Let r = 31611.2 - 31611. Let d = 1.8 - 2. What is the fourth biggest value in -5, -22, d, r?\n | -22\n | ibivibiv/math_instruct | |
Two letters picked without replacement from {p: 2, k: 2, i: 9}. What is prob of picking 1 p and 1 i?\n | 3/13\n | ibivibiv/math_instruct | |
Let n(s) = 21*s + 3. Let p(a) = -1. What is n(l) + 3*p(l)?\n | 21*l\n | ibivibiv/math_instruct | |
Let k = 1889 - 1178. Let m = 5713/8 - k. Calculate the common denominator of m and -91/2.\n | 8\n | ibivibiv/math_instruct | |
Let h(n) = -9*n**4 - 48*n**2 - 3*n - 69. Let c(m) = 18*m**4 + 85*m**2 + 6*m + 138. Let j(s) = 4*c(s) + 7*h(s). Find the second derivative of j(i) wrt i.\n | 108*i**2 + 8\n | ibivibiv/math_instruct | |
Collect the terms in 318*f - 14*f + 146 - 273 + 129.\n | 304*f + 2\n | ibivibiv/math_instruct | |
Evaluate (-1 + 7 - (-5 + -4)) + 2 + -4.\n | 13\n | ibivibiv/math_instruct | |
How many minutes are there between 4:39 PM and 6:17 PM?\n | 98\n | ibivibiv/math_instruct | |
Which is smaller: 11365/8919 or 2?\n | 11365/8919\n | ibivibiv/math_instruct | |
Express (-b + 2*b + 3*b)*(449*b + 449*b - 6 - 905*b) in the form s*b + l*b**2 + m and give l.\n | -28\n | ibivibiv/math_instruct | |
Let b(h) = h**2. Let z(q) be the third derivative of q**5/20 - 5*q**3/6 - 15*q**2. Let w(s) be the first derivative of z(s). Give w(b(y)).\n | 6*y**2\n | ibivibiv/math_instruct | |
Let j(l) = -l + 6. Let h(v) = -v**4 - 1. Let x(r) = 6*h(r) + j(r). What is the second derivative of x(p) wrt p?\n | -72*p**2\n | ibivibiv/math_instruct | |
Let r be (2 + -6)*(-5)/4. Suppose -20 = -5*l - r. What is the second derivative of -i**3 - 4*i**l - 7*i + 0*i**3 wrt i?\n | -30*i\n | ibivibiv/math_instruct | |
Calculate the remainder when 36 is divided by 24.\n | 12\n | ibivibiv/math_instruct | |
What is the value of 0 + (-8 - (8 + -6))?\n | -10\n | ibivibiv/math_instruct | |
Is 12600980461 prime?\n | True\n | ibivibiv/math_instruct | |
Round 0.00774472 to 3 dps.\n | 0.008\n | ibivibiv/math_instruct | |
Suppose 39*t = 30*t + 144. Let j(c) = c**2 - c + 5. Let d be j(-4). Let s(z) = -5*z**2 - 11*z + t + 4*z**2 - d. Determine s(-7).\n | 19\n | ibivibiv/math_instruct | |
What is 907705 to the power of 1/3, to the nearest integer?\n | 97\n | ibivibiv/math_instruct | |
What is the square root of 198008337 to the nearest integer?\n | 14072\n | ibivibiv/math_instruct | |
-3*-18.4\n | 55.2\n | ibivibiv/math_instruct | |
Express -y**3 - 9*y - y**2 + 4*y**3 - 5*y**3 as f*y**2 + l + t*y**3 + z*y and give f.\n | -1\n | ibivibiv/math_instruct | |
Let l(x) = 26*x + 111. Let j be l(15). Suppose 0 = -21*q + 717 + j. Does 37 divide q?\n | False\n | ibivibiv/math_instruct | |
Is 334683067 prime?\n | True\n | ibivibiv/math_instruct | |
What is -4 + -3 - (-19 - -6 - -5)?\n | 1\n | ibivibiv/math_instruct | |
Let v = 1799 - 1267. Let g = -12 - -4. Is (-3 + v/g)*-2 composite?\n | False\n | ibivibiv/math_instruct | |
What is 2525 divided by 11?\n | 2525/11\n | ibivibiv/math_instruct | |
Let b = -592 + 4146/7. What is the nearest to -0.14 in -5, -0.4, b, 1/6?\n | -0.4\n | ibivibiv/math_instruct | |
Calculate the highest common divisor of 810 and 310.\n | 10\n | ibivibiv/math_instruct | |
Let h(s) = -5*s**3 + 2*s**2 + s + 2. Let q be h(-2). Let r be q/(-28) - 4/14. Which is bigger: -1 or r?\n | -1\n | ibivibiv/math_instruct | |
Suppose 4*c - 76 = 2*j, -5*c = -2*j - 0*j - 94. Suppose 172 - 676 = -12*g. What is the remainder when g is divided by 202/c + 2/(-9)?\n | 9\n | ibivibiv/math_instruct | |
What is (-2)/(-18)*(-891)/(-66)?\n | 3/2\n | ibivibiv/math_instruct | |
Let p be 2 - (2 - 2*10). Suppose -p = 5*o + 30. Let t = o + 26. What is the remainder when 30 is divided by t?\n | 14\n | ibivibiv/math_instruct | |
Calculate the remainder when 16267 is divided by 5410.\n | 37\n | ibivibiv/math_instruct | |
Which is the smallest value? (a) 5 (b) 2 (c) -84\n | c\n | ibivibiv/math_instruct | |
b"What is the pth term of 46, 72, 118, 190, 294?\n" | p**3 + 4*p**2 + 7*p + 34\n | ibivibiv/math_instruct | |
Calculate prob of sequence ss when two letters picked without replacement from dggsgqsqqgsssls.\n | 1/7\n | ibivibiv/math_instruct | |
What is the nearest to 0 in 0.1, 0.3, 13, 0.4?\n | 0.1\n | ibivibiv/math_instruct | |
Let b(t) be the first derivative of -t**4/4 + 8*t**3/3 + 9*t**2/2 - 8*t + 5. Let l be b(9). Let r(q) = -5*q - 13. List the prime factors of r(l).\n | 3\n | ibivibiv/math_instruct | |
Find the second derivative of -4462714*m**2*w + 25*m*w + 3*m + 30485 wrt m.\n | -8925428*w\n | ibivibiv/math_instruct |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.