instruction_seed stringlengths 5 2.9k | response_seed stringlengths 3 9.55k | input stringclasses 1
value | _source stringclasses 1
value |
|---|---|---|---|
What is 0 (base 6) in base 15?\n | 0\n | ibivibiv/math_instruct | |
Collect the terms in -52*m**2 - 230*m**2 + 283*m**2.\n | m**2\n | ibivibiv/math_instruct | |
Round 67.42 to zero decimal places.\n | 67\n | ibivibiv/math_instruct | |
Let b(n) be the third derivative of -n**8/336 - n**7/105 + n**5/30 + n**4/24 - 19*n**2. Factor b(x).\n | -x*(x - 1)*(x + 1)**3\n | ibivibiv/math_instruct | |
Is 2655019 a prime number?\n | False\n | ibivibiv/math_instruct | |
Find the second derivative of 36*m**4 - 1398*m**3 - 76*m**2 + 994*m + 6454 wrt m.\n | 432*m**2 - 8388*m - 152\n | ibivibiv/math_instruct | |
Calculate the remainder when 1844 is divided by 73.\n | 19\n | ibivibiv/math_instruct | |
Expand -2*d**4 - 20*d**2 + 13*d**2 - 17*d**2 - 4*d**4 + 3*d**4 + 3*d**4 + (0*d**3 - 2*d**3 + d**3)*(3*d - 4*d - d).\n | 2*d**4 - 24*d**2\n | ibivibiv/math_instruct | |
Determine b, given that -3308208*b + 0 - 495/4*b**4 - 20541*b**3 - 1163252*b**2 - 1/4*b**5 = 0.\n | -164, -3, 0\n | ibivibiv/math_instruct | |
Suppose w + w - 4 = -2*f, 3*f = 5*w + 30. Suppose 0 = -k - v, 0 = -3*k + f*v - 2*v + 18. Suppose 4*c = -c + 15. Is c > k?\n | False\n | ibivibiv/math_instruct | |
Let o = 52 - 49. Suppose 552 = 3*h + 18*y - 17*y, -184 = -h - o*y. What are the prime factors of h?\n | 2, 23\n | ibivibiv/math_instruct | |
Solve -3*m + 46 = -2*x, -m - 69 = 5*x + 12 for m.\n | 4\n | ibivibiv/math_instruct | |
Let z(x) = -x**2 + 9*x - 3. Let y be z(8). Find the second derivative of 4*i**2 + 4*i + 51*i**4 + y*i**2 - 9*i**2 wrt i.\n | 612*i**2\n | ibivibiv/math_instruct | |
What are the prime factors of 7007680?\n | 2, 5, 61, 359\n | ibivibiv/math_instruct | |
Calculate (-40)/(-7)*(-63)/(-35)*8715/2241.\n | 40\n | ibivibiv/math_instruct | |
b"What is the pth term of 740954, 741021, 741088, 741155?\n" | 67*p + 740887\n | ibivibiv/math_instruct | |
Suppose -6*y + 7 = -29. Let w(t) = -t**3 + 6*t**2 + 8. Let n be w(y). Suppose j + 28 = n*j. Calculate the remainder when j is divided by 4.\n | 0\n | ibivibiv/math_instruct | |
Simplify (p/(p/p**14*p))/((p/(p**30/p*p))/p)*p**(2/17)/p**14 assuming p is positive.\n | p**(495/17)\n | ibivibiv/math_instruct | |
What is the value of (-2 - (0 + 5)) + (-87 - -77)?\n | -17\n | ibivibiv/math_instruct | |
Suppose n**2 - 27454*n + 24923160 = 0. What is n?\n | 940, 26514\n | ibivibiv/math_instruct | |
Let k(t) = t**3 + 8*t**2 - 3*t - 10. Let o be k(-8). Let a(f) = -f**3 + 14*f**2 + 2*f - 19. Let j be a(o). Solve 0 = 2*s - 5*s + j for s.\n | 3\n | ibivibiv/math_instruct | |
Let t = 0.347 - -0.153. Put t, -6/47, -14 in descending order.\n | t, -6/47, -14\n | ibivibiv/math_instruct | |
Evaluate (4/10)/((-1528)/(-2292)).\n | 3/5\n | ibivibiv/math_instruct | |
Let u = -25 + 33. What is the units digit of u?\n | 8\n | ibivibiv/math_instruct | |
Suppose 2*t + 8 = s, s - 20 = 5*t - 3*s. Let n be 15/t + 0 + 3. What is the nearest to -2/7 in 1, n, 1/2?\n | n\n | ibivibiv/math_instruct | |
Express (z - 3*z + 0*z)*(-299*z + 165*z + 260*z) + z**2 - z**2 + z**2 as o*z**2 + i*z + l and give o.\n | -251\n | ibivibiv/math_instruct | |
What is 71021491 to the power of 1/3, to the nearest integer?\n | 414\n | ibivibiv/math_instruct | |
Solve 33 + 117 = -9*v - 12 for v.\n | -18\n | ibivibiv/math_instruct | |
Product of 0.072 and 0.0108088.\n | 0.0007782336\n | ibivibiv/math_instruct | |
Which is the closest to -9/20? (a) -4 (b) -1/4 (c) -0.01\n | b\n | ibivibiv/math_instruct | |
Let y(v) = v**3 - 21*v - 4. Let q(d) = -d**3 + 43*d + 9. Give -4*q(x) - 9*y(x).\n | -5*x**3 + 17*x\n | ibivibiv/math_instruct | |
What is 791487 to the power of 1/7, to the nearest integer?\n | 7\n | ibivibiv/math_instruct | |
Let x(d) = -7*d**3 - d**2 + d. Let r be x(1). Let v(g) = -3*g + 5. Let t(l) = 10*l - 1. What is the remainder when v(r) is divided by t(1)?\n | 8\n | ibivibiv/math_instruct | |
Is 9738 a multiple of 18?\n | True\n | ibivibiv/math_instruct | |
Calculate -52 + 235 - 146 - (1 + 0).\n | 36\n | ibivibiv/math_instruct | |
What is the result of the following expression?
-87.9206 % -59.5732 | -28.3474 | ibivibiv/math_instruct | |
What is the units digit of 10311?\n | 1\n | ibivibiv/math_instruct | |
What is the second derivative of -b**2*l**2 + 9*b**2*l + 157*b**2 + 71*b*l - b + 200573064*l**2 - 47 wrt l?\n | -2*b**2 + 401146128\n | ibivibiv/math_instruct | |
Suppose -z**3 + 13521*z**2/4 - 2856945*z + 714025 = 0. What is z?\n | 1/4, 1690\n | ibivibiv/math_instruct | |
What is the nearest to -6 in 1, -1315, 0.18?\n | 0.18\n | ibivibiv/math_instruct | |
What is (-1*210/(-7))/((-28)/(35/(-5)))?\n | 15/2\n | ibivibiv/math_instruct | |
Find the third derivative of -q**4 - 397*q**3 + 123230*q**2 wrt q.\n | -24*q - 2382\n | ibivibiv/math_instruct | |
Put -9, -5, -239, 5, -19, 1 in descending order.\n | 5, 1, -5, -9, -19, -239\n | ibivibiv/math_instruct | |
Suppose 4*v = 21 + 19. Suppose v + 0 = -2*d. Let a(q) = -14 + 10 - 4*q**2 - 43*q + 3*q**2 + 38*q. Give a(d).\n | -4\n | ibivibiv/math_instruct | |
Is 1762270620 a multiple of 484?\n | True\n | ibivibiv/math_instruct | |
Two letters picked without replacement from kkkkkkgkkkg. Give prob of sequence gg.\n | 1/55\n | ibivibiv/math_instruct | |
Which is the closest to 0? (a) -53 (b) 6 (c) 0.3\n | c\n | ibivibiv/math_instruct | |
Let j(t) = 9*t**2 + 26*t - 5. Let q(u) = 11*u**2 + 24*u - 3. Let p(r) = -7*j(r) + 6*q(r). Calculate the lowest common multiple of 10 and p(15).\n | 610\n | ibivibiv/math_instruct | |
Let d(m) = -m**3 - 4*m**2 + 2*m. Determine d(-4).\n | -8\n | ibivibiv/math_instruct | |
Sum 19.80024283 and -24.3.\n | -4.49975717\n | ibivibiv/math_instruct | |
Is 271211 composite?\n | False\n | ibivibiv/math_instruct | |
Solve 27 - 6 = 7*w for w.\n | 3\n | ibivibiv/math_instruct | |
Find the second derivative of 71*d**2*q**2 + 234*d**2*q + 2*d*q**2 - 14492*q wrt d.\n | 142*q**2 + 468*q\n | ibivibiv/math_instruct | |
Rearrange (3*u**2 - 2*u**2 - 2*u**2)*(-555*u**2 - 3*u + 6 + 559*u**2 + 2*u) to the form z*u + j*u**3 + c*u**4 + x + m*u**2 and give m.\n | -6\n | ibivibiv/math_instruct | |
Simplify ((n/(n*n/((n/(n**(1/5)/n))/n))*n)/n**(-5)*n**7/n**(1/3))/((n**(1/12)*(n**7/n*n)/n*n)/(n**0/n)**(-1/4)) assuming n is positive.\n | n**(169/30)\n | ibivibiv/math_instruct | |
Let k be 4*4/40*(0 + 5). Suppose 5*d - 13 = -3*p - 6, 5 = -p + k*d. What is the third biggest value in -0.092, p, 0.3?\n | p\n | ibivibiv/math_instruct | |
Let q = -8532 - -8554. What is the least common multiple of q and 3818?\n | 41998\n | ibivibiv/math_instruct | |
In base 6, what is -2435 + -4?\n | -2443\n | ibivibiv/math_instruct | |
Let a(b) = 8*b**2 + 11*b**2 - 22*b**2 + 28 + 2*b**2 - 15*b. Determine a(-16).\n | 12\n | ibivibiv/math_instruct | |
Let g = 197281359 + -197281357.09999954. Let u = g - 1.9. What is u rounded to 7 decimal places?\n | 0.0000005\n | ibivibiv/math_instruct | |
Let d = -95/66 - -14/11. Let f = -43.3 + -6.5. Let u = -50 - f. Which is the third biggest value? (a) u (b) d (c) 4\n | a\n | ibivibiv/math_instruct | |
Calculate the lowest common multiple of 15918336 and 40608.\n | 15918336\n | ibivibiv/math_instruct | |
Let g = 17 - -7. Let r be (3/(-2))/(g/(-2048)). Calculate the greatest common divisor of r and 16.\n | 16\n | ibivibiv/math_instruct | |
Let k(d) = -101*d - 4. Let u(v) = 20*v + 1. Suppose -5*z + 2*s + 53 = 0, 0 = z + 4*s - 45 + 30. Determine z*u(w) + 2*k(w).\n | 18*w + 3\n | ibivibiv/math_instruct | |
What is next in -27, -391, -1437, -3507, -6943, -12087, -19281?\n | -28867\n | ibivibiv/math_instruct | |
Calculate the common denominator of -1/60 and 62/45.\n | 180\n | ibivibiv/math_instruct | |
Work out -5 + 94574337.3917.\n | 94574332.3917\n | ibivibiv/math_instruct | |
Let p(i) = 6*i**3 - i**2 + 4*i + 3. Let l(g) = 11*g**3 - 2*g**2 + 7*g + 5. Let h = -9 + 13. Let k = -4 + h. Suppose k = s + 5 + 2. Give s*p(q) + 4*l(q).\n | 2*q**3 - q**2 - 1\n | ibivibiv/math_instruct | |
Let p(v) be the first derivative of -v**5/30 - 19*v**3/3 - 44. Let i(g) be the third derivative of p(g). Let t(q) = 2*q - 3*q - 2*q. Give t(i(a)).\n | 12*a\n | ibivibiv/math_instruct | |
Solve -5*w = 2*f + 21, -57*f = -w - 56*f - 7 for w.\n | -5\n | ibivibiv/math_instruct | |
Expand (-3 + 0 + 4)*(5*c - 4*c - 2*c) - 381*c + 125*c - 98*c.\n | -355*c\n | ibivibiv/math_instruct | |
Let m = -13 - -4. Let p = m + 5. Which is the second smallest value? (a) -0.1 (b) 2 (c) p\n | a\n | ibivibiv/math_instruct | |
Calculate the highest common divisor of 188 and 544.\n | 4\n | ibivibiv/math_instruct | |
What is prob of sequence alll when four letters picked without replacement from adalzazadazaaazlozl?\n | 1/1938\n | ibivibiv/math_instruct | |
Suppose -5*t + 4*u = -363, 2*t - 134 = 3*u - 7*u. Is t prime?\n | True\n | ibivibiv/math_instruct | |
Solve -10141*r - 123081 - 17606 - 36000 = -14431 for r.\n | -16\n | ibivibiv/math_instruct | |
Let r(n) = -n - 1. Suppose -345 = -4*h - p, -5*p - 89 - 361 = -5*h. Let u = h - 60. Let x = -33 + u. Let f(j) = 4*j + 7. Give x*r(y) - f(y).\n | 2*y - 1\n | ibivibiv/math_instruct | |
Let o = 147 + -147. Let b be (-3 - -2) + (-4)/(-5). Let u = 11 - 11. What is the nearest to o in b, u, -4?\n | u\n | ibivibiv/math_instruct | |
Which is the smallest value? (a) -1/5 (b) 2.4 (c) -3/5 (d) 2\n | c\n | ibivibiv/math_instruct | |
Let w = 6436 + 40453. Is w composite?\n | False\n | ibivibiv/math_instruct | |
Let l be 1*(2 - 2)/(1 + 1). Suppose 2*z + n - 13 = 0, -4*z + 32 = 4*n - l. Suppose 3*p - 122 = -z*q, 3*p + q = 166 - 36. What is the units digit of p?\n | 4\n | ibivibiv/math_instruct | |
What is the cube root of 112591771 to the nearest integer?\n | 483\n | ibivibiv/math_instruct | |
Which is the nearest to 2/7? (a) 6 (b) -3 (c) 0.4 (d) 4/13\n | d\n | ibivibiv/math_instruct | |
What is -1921488 divided by -12?\n | 160124\n | ibivibiv/math_instruct | |
Calculate prob of sequence oyy when three letters picked without replacement from yoyoyooyoonooo.\n | 9/182\n | ibivibiv/math_instruct | |
Write an educational piece suited for college students related to the following text snippet:
"The result explanation of the analysis is same as the OLS, MLE or WLS method. The least-squares method of regression analysis is best suited for prediction models and trend analysis. As long as your model satisfies the OLS as... | Regression analysis is a statistical tool used to understand the relationship between dependent and independent variables. There are various methods available for conducting regression analysis, including Ordinary Least Squares (OLS), Maximum Likelihood Estimation (MLE), and Weighted Least Squares (WLS). Despite the d... | ibivibiv/math_instruct | |
Let u(f) = -2*f**2 + 2*f + 2. Let g(b) = b**3 - 12*b**2 + 29*b - 20. Let a be g(9). Determine u(a).\n | -10\n | ibivibiv/math_instruct | |
What is the value of -4*(-1 + (-35)/(-30))?\n | -2/3\n | ibivibiv/math_instruct | |
Let a = -438 + 438. Is a at least as big as 1/509?\n | False\n | ibivibiv/math_instruct | |
Let j(v) = -4*v**2 + v**3 + 2*v - 2 - 1 + 2. Suppose 0 = -2*w + 15 - 5. Suppose -5 = -4*s + z, -w*s + 8*z - 3*z - 5 = 0. Determine j(s).\n | -5\n | ibivibiv/math_instruct | |
Is 386868 a multiple of 12?\n | True\n | ibivibiv/math_instruct | |
How many minutes are there between 9:49 AM and 12:08 PM?\n | 139\n | ibivibiv/math_instruct | |
Simplify (l*l**(-2)*l*l**(2/13))**(-20)*l**(-3)*l**(2/9)*(l*l**(-2))/l*l**(-4/5)*l assuming l is positive.\n | l**(-4478/585)\n | ibivibiv/math_instruct | |
Let c = 1033/497 - 36/71. What is the common denominator of c and -53/4?\n | 28\n | ibivibiv/math_instruct | |
Solve 3*x - 3 + 22 = -5*i, 92*x - 8 = -2*i + 96*x for i.\n | -2\n | ibivibiv/math_instruct | |
Which is the nearest to -367? (a) 0.4 (b) -0.1 (c) 4/3 (d) 4 (e) -2 (f) 9\n | e\n | ibivibiv/math_instruct | |
Let j = -25 + 28. Suppose 0 = -5*w + j*t - 80, 5*t = 3*w - 2*w - 6. Let g = 37 + w. Does 9 divide g?\n | True\n | ibivibiv/math_instruct | |
Let x be (-16)/128*(-3)/6. Let o be (-10)/5*1/(-2). Which is greater: o or x?\n | o\n | ibivibiv/math_instruct | |
What is the common denominator of 37/5 and 43/401219968?\n | 2006099840\n | ibivibiv/math_instruct | |
Determine b so that b**5 + 7652*b**4 + 30598*b**3 + 45892*b**2 + 30593*b + 7648 = 0.\n | -7648, -1\n | ibivibiv/math_instruct |
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