instruction_seed stringlengths 5 2.9k | response_seed stringlengths 3 9.55k | input stringclasses 1
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|---|---|---|---|
Solve -99728 + 105019 = -143*h for h.\n | -37\n | ibivibiv/math_instruct | |
Let u(b) = b**2 - 1. Let j be u(9). Calculate the highest common factor of j and 16.\n | 16\n | ibivibiv/math_instruct | |
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# Generating lines of an OBB
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If you intended to correct an error in th... | When it comes to collision detection, there are various methods to consider, each with its own advantages and trade-offs. The most common techniques involve checking whether shapes overlap using bounding volumes like Axis-Aligned Bounding Boxes (AABB), Oriented Bounding Boxes (OBB), Sphere or Capsule colliders. Typica... | ibivibiv/math_instruct | |
Suppose 17 = 4*k + a - 2, 2*a = 3*k - 17. Suppose k*x = 4*v - 3, 3*v - 2*v - 2 = x. Solve 3*f - v = 2*z, -2*f + 1 + 12 = -3*z for z.\n | -5\n | ibivibiv/math_instruct | |
What is -402.81847 rounded to zero dps?\n | -403\n | ibivibiv/math_instruct | |
Solve 6*x + 1745 = 1781 for x.\n | 6\n | ibivibiv/math_instruct | |
Factor 9*q**3/11 - 774363562*q**2/11 + 16656636751552044*q/11 + 3701474871918408/11.\n | (q - 43020198)**2*(9*q + 2)/11\n | ibivibiv/math_instruct | |
Let u = 10.13 + -10.13003078. Round u to seven dps.\n | -0.0000308\n | ibivibiv/math_instruct | |
Let z(l) = 4 - 3*l**3 + l + 2*l**3 - 6 - 5*l**2. Let m(h) = -8*h - 2*h**2 + 4*h**2 - 3*h**2 - 5 + 0*h. Let a be m(-8). Calculate z(a).\n | -7\n | ibivibiv/math_instruct | |
Is 9444293 a composite number?\n | True\n | ibivibiv/math_instruct | |
Suppose -9 = -3*a, -w - 108 = -4*w - 4*a. Solve 208*z**2 - 34*z**4 + 164 + 19*z**4 + w + 532*z - 29*z**4 + 216*z**2 + 40*z**3 + 4*z**5 = 0.\n | -1, 7\n | ibivibiv/math_instruct | |
0.59*0.372\n | 0.21948\n | ibivibiv/math_instruct | |
What is 16551 to the power of 1/3, to the nearest integer?\n | 25\n | ibivibiv/math_instruct | |
How many minutes are there between 2:26 AM and 9:59 AM?\n | 453\n | ibivibiv/math_instruct | |
Divide -7135 by -268.\n | 7135/268\n | ibivibiv/math_instruct | |
Divide -50356092 by 50356092.\n | -1\n | ibivibiv/math_instruct | |
Let y = -8437 - -21654. Is y a composite number?\n | False\n | ibivibiv/math_instruct | |
What is the next term in 58, 186, 398, 694?\n | 1074\n | ibivibiv/math_instruct | |
Simplify ((x*x/(x**(-1/2)*x))**(22/3))**22 assuming x is positive.\n | x**242\n | ibivibiv/math_instruct | |
What is the first derivative of -340*n**3*u + 4*n - 93*u + 8 wrt n?\n | -1020*n**2*u + 4\n | ibivibiv/math_instruct | |
1 + 5 + (3 - 7) + 4\n | 6\n | ibivibiv/math_instruct | |
Calculate the lowest common multiple of 80 and 1024.\n | 5120\n | ibivibiv/math_instruct | |
Let z(r) = -5*r**2 - 4*r - 8. Suppose -24 = -38*m - 130 - 122. Let w(d) = 11*d**2 + 8*d + 17. What is m*w(q) - 13*z(q)?\n | -q**2 + 4*q + 2\n | ibivibiv/math_instruct | |
Let d(z) = -2*z - 28. Let s be d(-9). What is the remainder when 6/(-15) - 506*s/25 is divided by 41?\n | 38\n | ibivibiv/math_instruct | |
Expand (-3*a - 3*a + 7*a)*(-26 + 12 - 23).\n | -37*a\n | ibivibiv/math_instruct | |
Let s = -679/5 - -7429/55. Let r = 2 + -2. Which is smaller: r or s?\n | s\n | ibivibiv/math_instruct | |
Collect the terms in 14707 - 14707 - 6*q.\n | -6*q\n | ibivibiv/math_instruct | |
What is the value of 9 - (-1 + 13) - 6?\n | -9\n | ibivibiv/math_instruct | |
Calculate prob of sequence qc when two letters picked without replacement from ccxevwqx.\n | 1/28\n | ibivibiv/math_instruct | |
Let v = -6763 + 6765. Determine w, given that -1/3*w - 4/3*w**3 + 5/3*w**v + 0 = 0.\n | 0, 1/4, 1\n | ibivibiv/math_instruct | |
Expand 5*u**4 - 8*u**4 + 0*u**4 + (-u**3 - 2*u + 2*u)*(-6 + u + 6) - 5 - 3*u**4 + 5 - u**4 + 0*u**4 + 3*u**4.\n | -5*u**4\n | ibivibiv/math_instruct | |
What is the next term in 34286, 36153, 38020, 39887, 41754, 43621?\n | 45488\n | ibivibiv/math_instruct | |
How many minutes are there between 11:40 PM and 8:02 AM?\n | 502\n | ibivibiv/math_instruct | |
-ca (base 13) to base 14\n | -bc\n | ibivibiv/math_instruct | |
Collect the terms in 2549*j**2 - 25*j**3 - 24*j**3 - 2549*j**2 - 10*j.\n | -49*j**3 - 10*j\n | ibivibiv/math_instruct | |
Suppose -5*v - 2*l + 0*l = 728, 4*v + 581 = -3*l. Calculate the common denominator of 25/4*8/(-9) and (-6)/(-16)*v/(-6).\n | 72\n | ibivibiv/math_instruct | |
Suppose -4*d - 5*j = -7 + 19, 5*d - 22 = 3*j. Suppose 5*z - d*z - 9 = 0. Solve 0 = -z*c - 5*w, 5*w - w = 0 for c.\n | 0\n | ibivibiv/math_instruct | |
Simplify n**(3/17)*n*n**0*n*n*n**(-1/4)*n*n*(((n/(n**(-1/2)*n))/n)/n)/n assuming n is positive.\n | n**(165/68)\n | ibivibiv/math_instruct | |
Let r(x) = -21*x**2 + 7*x + 10. Let q be r(6). Let v be (-3)/(3/4)*(-32)/q. Which is the nearest to -11/5? (a) 0.5 (b) 2 (c) v\n | c\n | ibivibiv/math_instruct | |
Let x be (-2 - -6) + -2 + 2. Let v(w) = w - 11. Suppose -6*i + 56 = -2*i. Let t be v(i). Which is the second smallest value? (a) 6 (b) t (c) x\n | c\n | ibivibiv/math_instruct | |
Solve -799*y - 10376 = -1284*y + 5629 for y.\n | 33\n | ibivibiv/math_instruct | |
Let o(p) = 2*p**3 + 2 + 1 + 7*p**2 - p**3. Is 11 a factor of o(-6)?\n | False\n | ibivibiv/math_instruct | |
Suppose -306 = -6*y - 822. Which is smaller: y or -85?\n | y\n | ibivibiv/math_instruct | |
Simplify ((m/((m*m**(2/7)*m*m)/m))**(9/2))**(-1/4)*(m*m**7*m)/(((m/((m**(2/9)/m)/m))/m)/m)*(m/(m**(-1/2)*m)*m)**12 assuming m is positive.\n | m**(13945/504)\n | ibivibiv/math_instruct | |
What is 610155 (base 8) in base 11?\n | 127968\n | ibivibiv/math_instruct | |
Rearrange (-4*m - 4*m - 7*m + m)*(-3*m + m + 9*m) to the form q + x*m + u*m**2 and give u.\n | -98\n | ibivibiv/math_instruct | |
Rearrange 1 + 576*a - 40*a**2 - 576*a + 16*a**2 to the form o*a**2 + h*a + i and give i.\n | 1\n | ibivibiv/math_instruct | |
Suppose -9*v - 4*v = 39. Let x be (72/15 - (-5 - v))*90. Does 28 divide -1 + 3 + x/4?\n | False\n | ibivibiv/math_instruct | |
Factor -m**3/4 - 2919*m**2/2 - 5655825*m/4 + 2244291875.\n | -(m - 812)*(m + 3325)**2/4\n | ibivibiv/math_instruct | |
Calculate -11*5/((-55)/(-11)).\n | -11\n | ibivibiv/math_instruct | |
Let l(g) = 27448*g**3 + 73*g**2 + 146*g - 73. Let r(u) = 1893*u**3 + 5*u**2 + 10*u - 5. What is -5*l(w) + 73*r(w)?\n | 949*w**3\n | ibivibiv/math_instruct | |
Put -508, -8, -4, 5 in increasing order.\n | -508, -8, -4, 5\n | ibivibiv/math_instruct | |
Let x be -8 + 4 + 5 + 9/3. Solve -x*m - 19 = y, 0 = 3*m + 11*y - 7*y + 24 for m.\n | -4\n | ibivibiv/math_instruct | |
Is -105442 > 10?\n | False\n | ibivibiv/math_instruct | |
Let o(x) = 18*x**2 + 180*x + 1262. What is o(-15)?\n | 2612\n | ibivibiv/math_instruct | |
Let c = 0.29 - 0.28929. What is c rounded to 4 dps?\n | 0.0007\n | ibivibiv/math_instruct | |
Round -0.0000072889 to six dps.\n | -0.000007\n | ibivibiv/math_instruct | |
What is prob of sequence fjjj when four letters picked without replacement from {f: 6, j: 11, n: 2}?\n | 165/2584\n | ibivibiv/math_instruct | |
Simplify (m/(m**(2/7)*m))**(-3/11)/(((m**(1/10)/m*m)/m)/(m**1*m*m))*m/(m**(-6)*m*m)*m*m/(m**(3/5)*m)*m*m*m/m**1*m**6 assuming m is positive.\n | m**(13381/770)\n | ibivibiv/math_instruct | |
Collect the terms in -5*z**3 + 16*z**3 + 4*z**3.\n | 15*z**3\n | ibivibiv/math_instruct | |
Suppose 0 = -5*p - 2*j + 68, 3*p + 3*j + 29 - 77 = 0. Suppose 2*h + p = 42. Calculate the highest common factor of 15 and h.\n | 15\n | ibivibiv/math_instruct | |
What is 0.7606027 millennia in decades?\n | 76.06027\n | ibivibiv/math_instruct | |
Let s(z) = 3*z**2 - 4*z - 2. Let t(q) be the first derivative of 10*q**3/3 - 13*q**2/2 - 7*q + 147. Determine -7*s(u) + 2*t(u).\n | -u**2 + 2*u\n | ibivibiv/math_instruct | |
Let n be 7/(84/8)*6. Suppose 2*v - 4*b - b = 1886, 3772 = 4*v + n*b. Is v prime?\n | False\n | ibivibiv/math_instruct | |
Let g = -1862315/144 - -12932. What is the common denominator of g and -19/36?\n | 144\n | ibivibiv/math_instruct | |
Solve 233*w = -68*w + 49*w + 5040 for w.\n | 20\n | ibivibiv/math_instruct | |
Let x = -15837.053 + 15809.053013. Let w = -28 - x. Round w to five decimal places.\n | -0.00001\n | ibivibiv/math_instruct | |
Let b = 304 + -201. Suppose -99*w - 204 = -b*w. Calculate the remainder when w is divided by 18.\n | 15\n | ibivibiv/math_instruct | |
Let w(f) = -f**2 + 16794*f - 50372. Give w(3).\n | 1\n | ibivibiv/math_instruct | |
Let z(r) be the first derivative of -r**4/8 - r**3/3 + 5*r**2 + 7. Let s(i) be the second derivative of z(i). Let k be s(-6). Solve 2*c - k + 6 = 0 for c.\n | 5\n | ibivibiv/math_instruct | |
Suppose 86291 - 85719 = -22*r. Which is the nearest to -2? (a) r (b) 1/2 (c) 1/11\n | c\n | ibivibiv/math_instruct | |
Suppose 5*i + a - 60505 = 0, -4*i + 17734 + 30646 = -4*a. What is i rounded to the nearest 1000?\n | 12000\n | ibivibiv/math_instruct | |
Let j(b) = 3 + 4 + 0 + b + 0*b. Let d be j(-7). Solve 2*r + d - 6 = 0 for r.\n | 3\n | ibivibiv/math_instruct | |
Calculate 28/(-6)*(-12)/(-8).\n | -7\n | ibivibiv/math_instruct | |
What are the prime factors of ((-8)/20)/1 + 714/10?\n | 71\n | ibivibiv/math_instruct | |
What is the lowest common multiple of 9954945 and 1309?\n | 9954945\n | ibivibiv/math_instruct | |
What is prob of picking 2 q and 1 v when three letters picked without replacement from vvqqvvj?\n | 4/35\n | ibivibiv/math_instruct | |
Simplify ((sqrt(133)*-2*1)/sqrt(7))**2.\n | 76\n | ibivibiv/math_instruct | |
Expand (12*r**4 + 42 - 42)*(2 + 1 - 4)*(-8 - 13*r + 8).\n | 156*r**5\n | ibivibiv/math_instruct | |
What is the ten thousands digit of 3791039107?\n | 3\n | ibivibiv/math_instruct | |
Suppose 0 = -c, -3*b + 0*c - 24 = -2*c. Let w(z) = z**3 + 9*z**2 - 7*z + 6. What is the hundreds digit of w(b)?\n | 1\n | ibivibiv/math_instruct | |
Suppose 0 = o - 217 + 83. Let f(c) = -o*c - 132*c + 268*c. Let b(i) = -i**2. What is f(b(u))?\n | -2*u**2\n | ibivibiv/math_instruct | |
Let a = 253 - 254. Let b = 0 + 0. Sort a, -3/2, b in descending order.\n | b, a, -3/2\n | ibivibiv/math_instruct | |
Let a = 10 + -9. Let o be (9/3 - -2)/a. Suppose o*k = 31 - 1. Is k composite?\n | True\n | ibivibiv/math_instruct | |
What is the nearest to 4/7 in 1.2, 5/2, -2.7?\n | 1.2\n | ibivibiv/math_instruct | |
Let p = -12 - -20. Let i = 50.73 - 54.73. Sort -5, 2, p, i in descending order.\n | p, 2, i, -5\n | ibivibiv/math_instruct | |
Suppose -21 = 4*k - 41. Suppose -3*l + m + 203 = 0, 2*l - 32 - 99 = k*m. Is 34 a factor of l?\n | True\n | ibivibiv/math_instruct | |
What is 41739485 to the power of 1/2, to the nearest integer?\n | 6461\n | ibivibiv/math_instruct | |
Does 27 divide 824150?\n | False\n | ibivibiv/math_instruct | |
Let 0 + 17/10*u**3 + 1/10*u**5 - 17/10*u**2 - 7/10*u**4 + 3/5*u = 0. Calculate u.\n | 0, 1, 2, 3\n | ibivibiv/math_instruct | |
Put together -20342 and 53.76.\n | -20288.24\n | ibivibiv/math_instruct | |
Is 118649501 composite?\n | True\n | ibivibiv/math_instruct | |
What is 1387898 to the power of 1/3, to the nearest integer?\n | 112\n | ibivibiv/math_instruct | |
Let g be 2/3 + 26/(-30). Let l = -3208582/85 - -37748. What is the closest to 0 in g, 1/4, l?\n | l\n | ibivibiv/math_instruct | |
Let q(k) = -19*k**3 + 1. Let j be q(-1). Let r = j - 18. Find the second derivative of 3*d - d**r - 13*d - d wrt d.\n | -2\n | ibivibiv/math_instruct | |
-4166 * -40\n | 166640\n | ibivibiv/math_instruct | |
What is next in -1049, -1041, -1021, -983, -921, -829?\n | -701\n | ibivibiv/math_instruct | |
What is the distance between 0 and -291605446?\n | 291605446\n | ibivibiv/math_instruct | |
What is prob of sequence vv when two letters picked without replacement from {s: 9, v: 5}?\n | 10/91\n | ibivibiv/math_instruct | |
What is 153.750445 rounded to 1 decimal place?\n | 153.8\n | ibivibiv/math_instruct |
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