instruction_seed stringlengths 5 2.9k | response_seed stringlengths 3 9.55k | input stringclasses 1
value | _source stringclasses 1
value |
|---|---|---|---|
Sort 5.3, 0.05, 1/4, -0.2.\n | -0.2, 0.05, 1/4, 5.3\n | ibivibiv/math_instruct | |
Let j(l) = -l**3 + 29*l**2 - 77*l - 9. Give j(26).\n | 17\n | ibivibiv/math_instruct | |
What is the value of (153/(-15))/((-6)/(-10))?\n | -17\n | ibivibiv/math_instruct | |
Expand 15 + 20 - j**2 - 13 + (2*j + 3*j - 4*j)*(3*j + j - 2*j) + 11*j**2 + 20*j**2 - 2*j**2.\n | 30*j**2 + 22\n | ibivibiv/math_instruct | |
Is 114657383 prime?\n | True\n | ibivibiv/math_instruct | |
Let h be 16/8 + 1*-2. Solve -a - a + 10 = h for a.\n | 5\n | ibivibiv/math_instruct | |
Which is the nearest to -1/4? (a) 1 (b) 0.2 (c) 3/7 (d) 2\n | b\n | ibivibiv/math_instruct | |
Is 5242 a multiple of 10?\n | False\n | ibivibiv/math_instruct | |
Is 102451 a prime number?\n | True\n | ibivibiv/math_instruct | |
What is -18 + -6 + 1 + 0?\n | -23\n | ibivibiv/math_instruct | |
Let g(r) = 2594*r**3 + r - 2. What are the prime factors of g(1)?\n | 2593\n | ibivibiv/math_instruct | |
What is the hundred thousands digit of 2469305353?\n | 3\n | ibivibiv/math_instruct | |
Factor u**5/4 + 8*u**4 - 51*u**3/2 + 26*u**2 - 35*u/4.\n | u*(u - 1)**3*(u + 35)/4\n | ibivibiv/math_instruct | |
What is -6 - (-8 + (-12 - -5 - -7))?\n | 2\n | ibivibiv/math_instruct | |
Evaluate -65 + (104 + 50 - 122).\n | -33\n | ibivibiv/math_instruct | |
Collect the terms in -4*y + 15*y - 11*y + 6*y**2.\n | 6*y**2\n | ibivibiv/math_instruct | |
What is 4552733 to the power of 1/7, to the nearest integer?\n | 9\n | ibivibiv/math_instruct | |
Sort -3, -0.2, -23, -3/4 in decreasing order.\n | -0.2, -3/4, -3, -23\n | ibivibiv/math_instruct | |
Let o = 1.26 + -0.96. Let p = -6.2 - -6.9. Which is the smallest value? (a) 0 (b) p (c) o\n | a\n | ibivibiv/math_instruct | |
Suppose 392*y - 397*y - 5 = -3*x, 4*y - 2*x + 2 = 0. Sort 23, y, 55 in descending order.\n | 55, 23, y\n | ibivibiv/math_instruct | |
Collect the terms in -202767460*a**3 + 202767461*a**3 + 22 - 9.\n | a**3 + 13\n | ibivibiv/math_instruct | |
Let i(a) be the third derivative of a**6/40 + 107*a**5/5 - 429*a**4/8 - 819*a**2 + 1. Factor i(l).\n | 3*l*(l - 1)*(l + 429)\n | ibivibiv/math_instruct | |
Which is the nearest to -0.2? (a) -1/7 (b) -4/9 (c) -9 (d) 37\n | a\n | ibivibiv/math_instruct | |
Suppose 6*f = 8*f - 4*o, 0 = -2*o + 6. Let i be 4*(-3)/(-18)*f. What is the fourth biggest value in -0.06, 0.4, 5, i?\n | -0.06\n | ibivibiv/math_instruct | |
Let p(y) = 116*y**2 - y - 1. Let c be p(2). Suppose -3*s - 2*s = -2*o - c, 4*o + 12 = 0. Suppose -3*v = -358 + s. Is v a prime number?\n | True\n | ibivibiv/math_instruct | |
Let y(n) be the third derivative of 2*n**7/945 + 7*n**6/270 + 11*n**5/135 + 5*n**4/54 + 14*n**2 + 1. Factor y(k).\n | 4*k*(k + 1)**2*(k + 5)/9\n | ibivibiv/math_instruct | |
Collect the terms in 635*y**3 + 637*y**3 - 1858*y**3 + 596*y**3.\n | 10*y**3\n | ibivibiv/math_instruct | |
Calculate 45/(-20) - 6/8.\n | -3\n | ibivibiv/math_instruct | |
Two letters picked without replacement from {n: 4, q: 1, g: 2, h: 8}. Give prob of sequence hh.\n | 4/15\n | ibivibiv/math_instruct | |
Calculate prob of picking 2 i when two letters picked without replacement from iiissiiisiss.\n | 7/22\n | ibivibiv/math_instruct | |
Let n = -8041 + 8043. What is the third smallest value in -2/7, -0.61, 0.09, n, 5?\n | 0.09\n | ibivibiv/math_instruct | |
In base 15, what is -c + -a?\n | -17\n | ibivibiv/math_instruct | |
What is -5 divided by -135?\n | 1/27\n | ibivibiv/math_instruct | |
Which is the fifth biggest value? (a) 0.3 (b) 0.4 (c) -3/37 (d) -2/15 (e) 5\n | d\n | ibivibiv/math_instruct | |
Add 155.4256 and 369.\n | 524.4256\n | ibivibiv/math_instruct | |
Solve -486 + 1260 = 129*p for p.\n | 6\n | ibivibiv/math_instruct | |
31337.144943 - -0.1\n | 31337.244943\n | ibivibiv/math_instruct | |
Let b(h) = h**3 - 9*h**2 + 2*h - 2. Let f = 60 - 55. Let s(q) = q**2 + 7*q + 15. Let j be s(-10). Suppose 0*y - j = -f*y. Give b(y).\n | 16\n | ibivibiv/math_instruct | |
Sort 1, -15.81, -37/9 in decreasing order.\n | 1, -37/9, -15.81\n | ibivibiv/math_instruct | |
Let x = 1283.8 + -896. Let p = x - 388. Let b = -0.4 - -0.4. Put b, p, -1/4, 0.1 in increasing order.\n | -1/4, p, b, 0.1\n | ibivibiv/math_instruct | |
Let a = -14807 + 14807.4. Let j = 35 - 18. Put j, 0.5, a in increasing order.\n | a, 0.5, j\n | ibivibiv/math_instruct | |
Simplify (4*6*6*sqrt(1584)*1*6)**2.\n | 1182449664\n | ibivibiv/math_instruct | |
Solve 4*h + 10*w - 8*w - 16 = 0, -16 = -4*h - 7*w for h.\n | 4\n | ibivibiv/math_instruct | |
Round 0.002135217 to three dps.\n | 0.002\n | ibivibiv/math_instruct | |
Expand (1 - 1 - 2)*(5*i + 2*i - 2*i)*(-4*i**3 + 4*i - 4*i).\n | 40*i**4\n | ibivibiv/math_instruct | |
Rearrange (257*m + 8*m**2 - 257*m)*(2 - 2 + 8*m) to i*m**2 + s + l*m + g*m**3 and give g.\n | 64\n | ibivibiv/math_instruct | |
Collect the terms in -5*s + 4*s**2 - 12*s**2 + 12*s**2 + 5*s.\n | 4*s**2\n | ibivibiv/math_instruct | |
Let m be (-322 + 242)*1/(-10). Solve -79 = m*h - 55 for h.\n | -3\n | ibivibiv/math_instruct | |
Product of -0.099 and -7.\n | 0.693\n | ibivibiv/math_instruct | |
Collect the terms in 6939*k**2 - 1390*k**2 - 1395*k**2 - 1393*k**2 - 1377*k**2 - 1388*k**2.\n | -4*k**2\n | ibivibiv/math_instruct | |
In base 7, what is 22425200 - -302?\n | 22425502\n | ibivibiv/math_instruct | |
Let m(t) = 5*t**2 + 7*t - 2. What is the lowest common multiple of 4 and m(3)?\n | 64\n | ibivibiv/math_instruct | |
Tom turned 32 years old at a certain time in the past. At that time, Jim was 5 years older than half Toms age. In 2 years, Jim will be 29 years old. How many years ago did Tom turn 32? | Let's denote the number of years ago that Tom turned 32 as \( x \).
At that time, Tom was 32 years old, so now he is \( 32 + x \) years old.
Jim will be 29 years old in 2 years, so right now Jim is \( 29 - 2 = 27 \) years old.
According to the information given, at the time when Tom turned 32, Jim was 5 years older ... | ibivibiv/math_instruct | |
Let u(x) be the third derivative of -x**4/8 + x**3/2 + 3*x**2. Let t be u(3). Let l(n) = -n**3 - 4*n**2 + 6*n + 7. What is the units digit of l(t)?\n | 3\n | ibivibiv/math_instruct | |
Let g(n) = -n + 6. Let b be g(5). Let p = b - 3. Sort p, -4, -1 in ascending order.\n | -4, p, -1\n | ibivibiv/math_instruct | |
Suppose -c + 3*k - 8 = -6, -2*c + 2 = -4*k. Solve 72 = -c*z + 31*z for z.\n | 3\n | ibivibiv/math_instruct | |
Let b = -64 + 64. Sort 1/4, 1/8, b, 5 in ascending order.\n | b, 1/8, 1/4, 5\n | ibivibiv/math_instruct | |
Factor -2*q**3/11 + 2*q**2 - 62*q/11 + 42/11.\n | -2*(q - 7)*(q - 3)*(q - 1)/11\n | ibivibiv/math_instruct | |
In base 6, what is -454 + 244?\n | -210\n | ibivibiv/math_instruct | |
Let u(z) = 5*z - 10. Let y be u(3). Suppose -4*i - 2*l + 8 = 2*l, 5 = y*l. Is i equal to 1?\n | True\n | ibivibiv/math_instruct | |
Expand -311*n**2 + 1171*n**2 + 457*n**2 + (-4*n + n + n)*(-4*n - 4*n + 6*n) + 4*n**2 - 2*n**2 - 4*n**2.\n | 1319*n**2\n | ibivibiv/math_instruct | |
Let w = -1485/17 + 855377/9792. Let b = w - 1495/4032. Find the common denominator of b and 37/28.\n | 84\n | ibivibiv/math_instruct | |
Express -2*d**3 + d**3 + 2*d**3 + (-18*d - 15*d - 2*d)*(0*d**2 + 2*d**2 + 0*d**2) in the form s*d**3 + z*d + a*d**2 + b and give s.\n | -69\n | ibivibiv/math_instruct | |
Factor 2*d**4/9 - 32*d**3/9 + 104*d**2/9 - 32*d/3.\n | 2*d*(d - 12)*(d - 2)**2/9\n | ibivibiv/math_instruct | |
Let k(f) = 242*f - 5062. Let s be k(21). Solve -4*p - s = 3*o, 2*p - 42 + 52 = 0 for o.\n | 0\n | ibivibiv/math_instruct | |
Let u = 41 - 24. Let f = u + -17. Solve f = 3*g - 0*g for g.\n | 0\n | ibivibiv/math_instruct | |
Calculate the greatest common factor of 36 and 1093626.\n | 18\n | ibivibiv/math_instruct | |
What is the third smallest value in 0, 1/6, -7, 0.4, 15?\n | 1/6\n | ibivibiv/math_instruct | |
What is ((-50040)/(-3336)*(-20)/18)/(5/6)?\n | -20\n | ibivibiv/math_instruct | |
Let r(i) = 210*i - 2889. Give r(12).\n | -369\n | ibivibiv/math_instruct | |
What are the prime factors of 4436896?\n | 2, 61, 2273\n | ibivibiv/math_instruct | |
Let j(f) be the third derivative of 19*f**5/120 + f**4/24 + 4*f**3 - 3*f**2. Let g(u) be the first derivative of j(u). What is the derivative of g(s) wrt s?\n | 19\n | ibivibiv/math_instruct | |
What is the cube root of 332951 to the nearest integer?\n | 69\n | ibivibiv/math_instruct | |
Find the third derivative of -3*m**6 - 15*m**4 + 380*m**2 wrt m.\n | -360*m**3 - 360*m\n | ibivibiv/math_instruct | |
Suppose -43 = -3*d + 5*u, -d + 1 = -0*d + u. Let a(x) be the third derivative of -x**5/60 + 3*x**4/8 - 4*x**3/3 - x**2. List the prime factors of a(d).\n | 2, 5\n | ibivibiv/math_instruct | |
Is 5 a factor of (-3)/((-45)/(-10))*-45 - 1?\n | False\n | ibivibiv/math_instruct | |
What is the product of 1 and -11325.3677?\n | -11325.3677\n | ibivibiv/math_instruct | |
What is 9029962 to the power of 1/3, to the nearest integer?\n | 208\n | ibivibiv/math_instruct | |
Let w(q) = -970*q**2 - 5766*q - 7. What is w(-6)?\n | -331\n | ibivibiv/math_instruct | |
What is the highest common divisor of 1257523 and 959?\n | 137\n | ibivibiv/math_instruct | |
Sort -3, -27, -6, 3, -24, -4 in descending order.\n | 3, -3, -4, -6, -24, -27\n | ibivibiv/math_instruct | |
Calculate ((-16)/(-3))/4 + (-32)/(-192).\n | 3/2\n | ibivibiv/math_instruct | |
Round 28459815.7 to the nearest one thousand.\n | 28460000\n | ibivibiv/math_instruct | |
What is 1 divided by 2074?\n | 1/2074\n | ibivibiv/math_instruct | |
Let g be 5/(-1 - -16)*9. Is (0 + g)/(2/74) a composite number?\n | True\n | ibivibiv/math_instruct | |
Let z = 0.1 + 1.9. Let s = -3.4 - -3.2. Which is the closest to z? (a) -4 (b) s (c) 2/3\n | c\n | ibivibiv/math_instruct | |
Let k = 0.03 - -0.07. Let n = -0.9 - k. Let y = -2 - n. Is y greater than 3?\n | False\n | ibivibiv/math_instruct | |
Divide 456752 by 4.\n | 114188\n | ibivibiv/math_instruct | |
Collect the terms in -34*k - 487*k - 651*k.\n | -1172*k\n | ibivibiv/math_instruct | |
Let f = 7 + -6. Suppose 2*l + 6 = 4*j, -3*l - f = -3*j + 5. Are -2/19 and j unequal?\n | True\n | ibivibiv/math_instruct | |
Simplify ((v*v**(-1/6)*v)/(v**(-1)*v))**(-2/11)*(v*v*v**5*v**(-2/7))/((v*v*v**(-2/3)/v*v*v*v*v)/v)**9 assuming v is positive.\n | v**(-496/21)\n | ibivibiv/math_instruct | |
Which is greater: -1451216 or -1451217?\n | -1451216\n | ibivibiv/math_instruct | |
Which is the nearest to -1/4? (a) 1 (b) -64314/5 (c) -0.9 (d) 2/15\n | d\n | ibivibiv/math_instruct | |
Calculate 101*0.325911.\n | 32.917011\n | ibivibiv/math_instruct | |
Find the second derivative of 3919956*n*t**2 + n*t + 443556*t wrt t.\n | 7839912*n\n | ibivibiv/math_instruct | |
Calculate the greatest common factor of 56090 and 233840.\n | 790\n | ibivibiv/math_instruct | |
Let f = -13 - -9. Let g be 1/2*(f - -1). What is the second smallest value in g, 0.1, 5/3?\n | 0.1\n | ibivibiv/math_instruct | |
Rearrange (i**3 + i**4 - i**3)*(1 + 0 + 0) - 30*i**4 + 334*i**2 - 334*i**2 to z + r*i + t*i**3 + h*i**4 + p*i**2 and give h.\n | -29\n | ibivibiv/math_instruct | |
What are the prime factors of 282792?\n | 2, 3, 11783\n | ibivibiv/math_instruct | |
What is -1.1 plus -0.24?\n | -1.34\n | ibivibiv/math_instruct |
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