instruction_seed stringlengths 5 2.9k | response_seed stringlengths 3 9.55k | input stringclasses 1
value | _source stringclasses 1
value |
|---|---|---|---|
Simplify (b**4)**(-6/7)/(b/(b/(b*b**(1/7))))**(-10/9) assuming b is positive.\n | b**(-136/63)\n | ibivibiv/math_instruct | |
What is the greatest common factor of 185 and 148?\n | 37\n | ibivibiv/math_instruct | |
What is the value of -6 + (-2 - -9) + -4?\n | -3\n | ibivibiv/math_instruct | |
b"What is the rth term of 697, 690, 681, 670?\n" | -r**2 - 4*r + 702\n | ibivibiv/math_instruct | |
Is 62081017 a composite number?\n | False\n | ibivibiv/math_instruct | |
Calculate the smallest common multiple of 3168 and 87120.\n | 174240\n | ibivibiv/math_instruct | |
Let i = 122 + -120. Find the third derivative of 29*n**3 + 53*n**i + 17*n - 9*n**2 - 17*n wrt n.\n | 174\n | ibivibiv/math_instruct | |
Simplify ((k**(1/2)/k*k)/k)**(-12)*k**(1/8)*k/k**(-3) assuming k is positive.\n | k**(81/8)\n | ibivibiv/math_instruct | |
Solve -o - 5*r - 7 = 0, 8*r - 3*r = -3*o - 1 for o.\n | 3\n | ibivibiv/math_instruct | |
Is 8208157/7 <= 1172593?\n | False\n | ibivibiv/math_instruct | |
Is 7333828597 prime?\n | True\n | ibivibiv/math_instruct | |
In base 5, what is 10 - -4100?\n | 4110\n | ibivibiv/math_instruct | |
Let i = 0.03604 - 0.03610019. What is i rounded to 5 dps?\n | -0.00006\n | ibivibiv/math_instruct | |
Is 4544082409 prime?\n | True\n | ibivibiv/math_instruct | |
Suppose 0 = -2*k + 8*k - 60. Let y(a) = -720*a**2 + 5*a**3 - 1 - 16*a + 726*a**2 + k*a. Let c(g) = -9*g**3 - 11*g**2 + 11*g + 2. Determine 6*c(f) + 11*y(f).\n | f**3 + 1\n | ibivibiv/math_instruct | |
Suppose -6*w + 7*w + 5 = 0. Put 1, w, 3 in increasing order.\n | w, 1, 3\n | ibivibiv/math_instruct | |
Suppose 0 = -20*v - 14*v + 1394. Solve 4*n - v = -4*a - 9, -6 = -3*n + 3*a for n.\n | 5\n | ibivibiv/math_instruct | |
What is -42843 divided by -2?\n | 42843/2\n | ibivibiv/math_instruct | |
Let g(w) = -2*w**3 - 8*w**2 - 106*w + 378. Calculate g(0).\n | 378\n | ibivibiv/math_instruct | |
Calculate (193/1158)/(4*66/144).\n | 1/11\n | ibivibiv/math_instruct | |
b"What is the ith term of -41, -87, -133, -179?\n" | -46*i + 5\n | ibivibiv/math_instruct | |
Calculate prob of picking 1 n, 1 m, 1 j, and 1 y when four letters picked without replacement from {j: 2, y: 1, m: 3, n: 1, f: 3}.\n | 1/35\n | ibivibiv/math_instruct | |
What is the fourth biggest value in -2, 0.022, -5, -1/19?\n | -5\n | ibivibiv/math_instruct | |
Let r(m) = -53*m**2. Let o(k) = -1313018*k. Give o(r(q)).\n | 69589954*q**2\n | ibivibiv/math_instruct | |
Express (3*h - 3*h + h**2)*(-8 + 8 - 5*h) in the form w*h**2 + b + i*h + n*h**3 and give n.\n | -5\n | ibivibiv/math_instruct | |
Calculate prob of sequence ff when two letters picked without replacement from fffffffffffvvfffffff.\n | 153/190\n | ibivibiv/math_instruct | |
What is the greatest common divisor of 30 and 29030?\n | 10\n | ibivibiv/math_instruct | |
In base 5, what is 10 + 301?\n | 311\n | ibivibiv/math_instruct | |
How many hours are there in 7/6 of a day?\n | 28\n | ibivibiv/math_instruct | |
Let a = 4615 - 4616.307. Round a to 1 decimal place.\n | -1.3\n | ibivibiv/math_instruct | |
How many minutes are there between 8:44 PM and 10:50 PM?\n | 126\n | ibivibiv/math_instruct | |
What is the value of 2 + (2 - 4 - 4) + 12 + -12?\n | -4\n | ibivibiv/math_instruct | |
Sort -3/2, 4, -18, -4 in descending order.\n | 4, -3/2, -4, -18\n | ibivibiv/math_instruct | |
Multiply -4.29 and -0.2.\n | 0.858\n | ibivibiv/math_instruct | |
What is the value of (-14 - -12) + (4 - 5) + 6 - (-48 + -14)?\n | 65\n | ibivibiv/math_instruct | |
Suppose 4*q - 9 = -1. Suppose -16*c + 30 = -11*c - 2*u, 2*u - 24 = -4*c. Calculate the greatest common factor of q and c.\n | 2\n | ibivibiv/math_instruct | |
Suppose 3*y + 6*f = 4*f - 1359122, -906082 = 2*y + 2*f. What is y rounded to the nearest 1000?\n | -453000\n | ibivibiv/math_instruct | |
Suppose -2*o - 3*c + 7 + 4 = 0, 5*o - 22 = -2*c. Suppose -d + 11 = -0*r - r, 5*d = -o*r + 100. Solve -3*t = -7*t + d for t.\n | 4\n | ibivibiv/math_instruct | |
What is prob of picking 2 a when two letters picked without replacement from aaaaaaaaaraa?\n | 5/6\n | ibivibiv/math_instruct | |
Calculate the remainder when 52 is divided by 44.\n | 8\n | ibivibiv/math_instruct | |
Collect the terms in -9423*r + r**2 + r**2 - 155193*r.\n | 2*r**2 - 164616*r\n | ibivibiv/math_instruct | |
List the prime factors of 808258441.\n | 337, 1009, 2377\n | ibivibiv/math_instruct | |
Let k(c) = -3 - 1 - c**2 + 2*c**3 + 0 + 3 + 2*c. Let h = -1 - -10. Suppose 0*w + 3*q - h = 3*w, -4*w - 4*q = -20. What is k(w)?\n | 2\n | ibivibiv/math_instruct | |
Find the second derivative of 82*j*u**2 - 10*j - 368*u**2 + 24389*u + 5 wrt u.\n | 164*j - 736\n | ibivibiv/math_instruct | |
What is the value of ((-83)/(-12865))/((-2)/(-20))?\n | 2/31\n | ibivibiv/math_instruct | |
Express (36 + 4*d - 36)*(4*d**2 - 2*d**2 - 3*d**2) as t*d**3 + z*d**2 + v + f*d and give t.\n | -4\n | ibivibiv/math_instruct | |
What is prob of picking 1 f, 1 m, and 2 d when four letters picked without replacement from {g: 2, s: 1, f: 6, m: 3, d: 4}?\n | 27/455\n | ibivibiv/math_instruct | |
In base 4, what is -132 + -13320300?\n | -13321032\n | ibivibiv/math_instruct | |
Let x = 0.303 - 5.303. Let z = -9.37 + 7.1. What is the biggest value in x, z, 0.4?\n | 0.4\n | ibivibiv/math_instruct | |
Let m be -1*(-19)/(-1)*-2. Suppose -157*w - 480 = -9429. What is the highest common factor of w and m?\n | 19\n | ibivibiv/math_instruct | |
What is the sixth root of 329879552 to the nearest integer?\n | 26\n | ibivibiv/math_instruct | |
Let h = -6331 - -6367. Solve 34*s - 43*s - h = 0 for s.\n | -4\n | ibivibiv/math_instruct | |
Let z(p) = 36*p - 6. Suppose 71*f - 50 = 111*f - 65*f. Calculate z(f).\n | 66\n | ibivibiv/math_instruct | |
Solve -3 = -u + 2 for u.\n | 5\n | ibivibiv/math_instruct | |
Factor o**2 - 10534*o - 2300072.\n | (o - 10748)*(o + 214)\n | ibivibiv/math_instruct | |
-123 (base 12) to base 10\n | -171\n | ibivibiv/math_instruct | |
Let w(l) = l**2 - 7*l - 3. Let j(z) = 4*z**2 - 30*z - 13. Let u(h) = 6*j(h) - 26*w(h). Find the second derivative of u(f) wrt f.\n | -4\n | ibivibiv/math_instruct | |
Find the third derivative of 1498*c**3*w**5 - 622*c**3*w**3 + c**3 + 6*c**2*w - c*w**2 + 2*c*w + 14809*w**2 wrt w.\n | 89880*c**3*w**2 - 3732*c**3\n | ibivibiv/math_instruct | |
Suppose 3*a - 5*x = 185, a - 67 = -0*a + 3*x. Suppose -2 + 0 = d. Let c be d + (-2 - -4) + 22. What is the highest common factor of c and a?\n | 11\n | ibivibiv/math_instruct | |
Simplify ((j*j*j**4*j**3)/((j**0/j)/(j/(j*j*j*j**1/j))))/(((j**(1/5)/j)/j*(j**(2/9)*j)/j)/(j*j**(-1/4))**(-8/9)) assuming j is positive.\n | j**(401/45)\n | ibivibiv/math_instruct | |
Let i(s) = 4*s**2. Let x be ((-4)/(-6 - -2))/(3/15). Let m(d) = -50*d + 30*d - x*d. Calculate i(m(g)).\n | 2500*g**2\n | ibivibiv/math_instruct | |
Rearrange (-70 - 84 + 80)*(-50*p**2 + 4*p + 33*p**2 - 4*p) to h*p**2 + c + t*p and give h.\n | 1258\n | ibivibiv/math_instruct | |
Let g be (4/8)/(2/404). Suppose -5*u + 56 = -d - g, -3*d = -9. Find the common denominator of -113/6 and ((-20)/u)/(3/(-15)).\n | 24\n | ibivibiv/math_instruct | |
Find i, given that -2*i**2/3 + 16*i + 54 = 0.\n | -3, 27\n | ibivibiv/math_instruct | |
1 + 11 + 0 + -5\n | 7\n | ibivibiv/math_instruct | |
Calculate the lowest common multiple of 417 and 8.\n | 3336\n | ibivibiv/math_instruct | |
What is 16417.977 months in centuries?\n | 13.6816475\n | ibivibiv/math_instruct | |
What is the greatest common divisor of 33017 and 1507?\n | 137\n | ibivibiv/math_instruct | |
How many minutes are there between 9:52 PM and 8:19 AM?\n | 627\n | ibivibiv/math_instruct | |
Let l(t) = 2*t**3 - 3*t**2 - 11*t + 21. Let y be l(-13). List the prime factors of y/(-51) - (-16)/136.\n | 3, 31\n | ibivibiv/math_instruct | |
Put 0.4, -2, 942/5, 4/3, 2/291 in decreasing order.\n | 942/5, 4/3, 0.4, 2/291, -2\n | ibivibiv/math_instruct | |
Which is greater: -2463839 or -2463840?\n | -2463839\n | ibivibiv/math_instruct | |
Let v be (7 - (-5031)/(-715))*(-7 + 2). Suppose -4/11 - v*d + 12/11*d**2 = 0. What is d?\n | -1/2, 2/3\n | ibivibiv/math_instruct | |
What is 5021 to the power of 1/2, to the nearest integer?\n | 71\n | ibivibiv/math_instruct | |
Let u(c) = -2*c - 26. Let t be u(-16). Let o be -2*t/4*-3. Solve -3*v - 3 = -o for v.\n | 2\n | ibivibiv/math_instruct | |
Calculate prob of sequence xzx when three letters picked without replacement from {x: 9, z: 11}.\n | 11/95\n | ibivibiv/math_instruct | |
Simplify u*u**(2/31)*u**(-2)*(u**1)**(-35) assuming u is positive.\n | u**(-1114/31)\n | ibivibiv/math_instruct | |
Simplify (g**(3/2)*g/g**(-15)*g)/((g**(-2)/g)/(g*g/(g/g**14)*g)) assuming g is positive.\n | g**(75/2)\n | ibivibiv/math_instruct | |
Let r = 1 + 2. Let x = -793/7 + 113. Suppose -3*y + 2 + 7 = 0. Which is the nearest to y? (a) r (b) -0.4 (c) x\n | a\n | ibivibiv/math_instruct | |
61776 * 5.7\n | 352123.2\n | ibivibiv/math_instruct | |
1735 + 297730\n | 299465\n | ibivibiv/math_instruct | |
Is 70981787783 a composite number?\n | False\n | ibivibiv/math_instruct | |
Let f be (1764/(-15))/((-10)/2700). Find the common denominator of -14 and (-3)/(f/238)*(-8)/(-6).\n | 567\n | ibivibiv/math_instruct | |
Let f(l) = 5*l**2 + 3*l - 1. Determine f(2).\n | 25\n | ibivibiv/math_instruct | |
Let b = -59190 + 59189.919494. Round b to two decimal places.\n | -0.08\n | ibivibiv/math_instruct | |
What is the common denominator of 5/1475498 and 6/303779?\n | 10328486\n | ibivibiv/math_instruct | |
Let f(i) = 7*i - 3. Let n be ((-4)/(-6))/(2/9). What is f(n)?\n | 18\n | ibivibiv/math_instruct | |
Let l be ((-784)/80 + 11)*5/206. Is 0 > l?\n | False\n | ibivibiv/math_instruct | |
What is the smallest value in -44, 2, 1?\n | -44\n | ibivibiv/math_instruct | |
Is 30 a factor of 54870?\n | True\n | ibivibiv/math_instruct | |
Let q = 30 - 30.3. Let y = -1.29 - 12.01. Let i = y + 7.3. Which is the fourth smallest value? (a) i (b) -0.5 (c) q (d) 0\n | d\n | ibivibiv/math_instruct | |
Let j = 6 + -38. Let b = 46 + j. Does 7 divide b?\n | True\n | ibivibiv/math_instruct | |
Let l be 3/(6/(-34)) - -3. Let t = -20 - l. Let b be ((-45)/30)/(t/8). Solve 3*z = -b*z - 10 for z.\n | -2\n | ibivibiv/math_instruct | |
What is the second derivative of 27*k**2*p**3 - 90823*k**2*p**2 + 658*k**2*p + 3*k**2 - k*p - 19*k + 4*p**2 + 20*p wrt p?\n | 162*k**2*p - 181646*k**2 + 8\n | ibivibiv/math_instruct | |
Let z = 0 + 6. Suppose z*o - 6 = 3*o, 22 = 3*a - 4*o. Suppose -5*g - 2*k = -65, 677 = -3*g - 3*k + 698. Calculate the remainder when g is divided by a.\n | 7\n | ibivibiv/math_instruct | |
Does 807 divide 7338051?\n | True\n | ibivibiv/math_instruct | |
Let g = -96 + 381/4. What is the biggest value in -2, g, 2?\n | 2\n | ibivibiv/math_instruct | |
Two letters picked without replacement from {e: 2, l: 4, u: 2}. What is prob of picking 2 l?\n | 3/14\n | ibivibiv/math_instruct | |
Let o**2/3 + 16506036*o + 204336918324972 = 0. What is o?\n | -24759054\n | ibivibiv/math_instruct | |
Calculate (2/((-6)/(-9)))/((-2)/(-32)*3768).\n | 2/157\n | ibivibiv/math_instruct |
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