instruction_seed stringlengths 5 2.9k | response_seed stringlengths 3 9.55k | input stringclasses 1
value | _source stringclasses 1
value |
|---|---|---|---|
Suppose -5*t = -4*t. Suppose -4*k - 3*b + 18 = 0, 3*k = -t*k + 2*b + 5. Suppose 4*j + k*y - 57 = 0, -6*j = -2*j - 5*y - 97. Is j a multiple of 14?\n | False\n | ibivibiv/math_instruct | |
Evaluate 3 + (-2 + 21 - -20) + -21.\n | 21\n | ibivibiv/math_instruct | |
Let i(p) = -4*p + 1. Calculate i(-9).\n | 37\n | ibivibiv/math_instruct | |
b"What is the wth term of 12303039, 12303032, 12303019, 12303000?\n" | -3*w**2 + 2*w + 12303040\n | ibivibiv/math_instruct | |
What is 9076 to the power of 1/8, to the nearest integer?\n | 3\n | ibivibiv/math_instruct | |
Sum -171693 and 10934135.\n | 10762442\n | ibivibiv/math_instruct | |
Find the second derivative of 18*o**4 - 382*o**2 - o + 12008 wrt o.\n | 216*o**2 - 764\n | ibivibiv/math_instruct | |
Let l(t) = t + 3. Let u be l(-5). Let g be (4 + -6)/(u/5). What are the prime factors of (g - -11)*(-2)/(-4)?\n | 2\n | ibivibiv/math_instruct | |
In base 6, what is 121 - 5?\n | 112\n | ibivibiv/math_instruct | |
Let g be 15/(-15)*(25 - 24). Let a(c) = 0 - 61*c - 4 - 177*c. Is 18 a factor of a(g)?\n | True\n | ibivibiv/math_instruct | |
Work out -690.5 * 2.\n | -1381\n | ibivibiv/math_instruct | |
Round 1505700 to the nearest 100000.\n | 1500000\n | ibivibiv/math_instruct | |
What is the lowest common multiple of 180 and 12306?\n | 369180\n | ibivibiv/math_instruct | |
b"What is the lth term of 123, -3182, -8677, -16356, -26213, -38242?\n" | l**3 - 1101*l**2 - 9*l + 1232\n | ibivibiv/math_instruct | |
Let k(u) = -118*u. Let b(x) = -4086*x**2. Calculate k(b(z)).\n | 482148*z**2\n | ibivibiv/math_instruct | |
Find the greatest number that will divide x^2 + 5x + 13, 3x^3 - x^2 + 6x + 94, 5x^2 - 8x + 201, 7x^4 - 21x^2 + 3x + 481, and 9x^3 - 17x + 759 so as to leave the same non-integer remainder in each case. | To find the greatest number that will divide the given polynomials and leave the same non-integer remainder, we need to find the greatest common divisor (GCD) of these polynomials. However, since the polynomials are of different degrees and do not have any obvious common factors, it is not straightforward to find the G... | ibivibiv/math_instruct | |
Suppose 0 - 2 = -f. Suppose 2*j = -10, -j + 4 = 3*p + 3. What is the derivative of 3*y**f - 4 + 3*y**p - y**2 wrt y?\n | 10*y\n | ibivibiv/math_instruct | |
Solve -4467*f = -4495*f - 756 for f.\n | -27\n | ibivibiv/math_instruct | |
Let r(j) = -j - 5. Let u be r(-5). Suppose -2*q + 3*p + 46 = 0, -4*q + 4*p + 44 + 44 = u. Suppose -q = -t + 5*t. What is the biggest value in -2/9, t, 0.5?\n | 0.5\n | ibivibiv/math_instruct | |
Collect the terms in 26*p**2 - 61*p**2 + 20*p**2 - 11 + 17*p**2 + 502*p.\n | 2*p**2 + 502*p - 11\n | ibivibiv/math_instruct | |
What is the highest common factor of 104 and 244322?\n | 26\n | ibivibiv/math_instruct | |
Let f(o) = 11*o + 2. Let n(g) = 7*g. Let b(z) = f(z) - n(z). Calculate b(6).\n | 26\n | ibivibiv/math_instruct | |
Calculate ((-36)/(-342))/(((-30)/(-95))/3).\n | 1\n | ibivibiv/math_instruct | |
Collect the terms in 4008*q + 129506*q - 112739*q + 3 + 624233*q.\n | 645008*q + 3\n | ibivibiv/math_instruct | |
Put together 0.8 and 848867.\n | 848867.8\n | ibivibiv/math_instruct | |
Simplify (n**(1/23)*n)**41 assuming n is positive.\n | n**(984/23)\n | ibivibiv/math_instruct | |
Is 4449391 composite?\n | False\n | ibivibiv/math_instruct | |
Let m = 36 + -30. Suppose -5*j = -2*d - 8, j = 4*d + m*j + 16. What is the remainder when d/(-6) - 86/(-6) is divided by 4?\n | 3\n | ibivibiv/math_instruct | |
Find the third derivative of 2 + 10901*q**3 - 6189*q**2 - 6227*q**2 + 12322*q**2 - 17*q wrt q.\n | 65406\n | ibivibiv/math_instruct | |
Solve 4*q = 3*k + 4, q + 18 + 0 = -4*k for k.\n | -4\n | ibivibiv/math_instruct | |
What is the tens digit of 10390333?\n | 3\n | ibivibiv/math_instruct | |
b"What is the xth term of -97, -386, -861, -1516, -2345, -3342?\n" | x**3 - 99*x**2 + x\n | ibivibiv/math_instruct | |
48173 divided by 48173\n | 1\n | ibivibiv/math_instruct | |
How many minutes are there between 7:50 PM and 7:39 AM?\n | 709\n | ibivibiv/math_instruct | |
Round -116075 to the nearest one thousand.\n | -116000\n | ibivibiv/math_instruct | |
Suppose 4*f - 264 = -4*x, -5*x - 139 = -2*f - 0*f. Suppose -2*w + 34 = -5*r, 3*r = 4*w - 33 - 35. Calculate the remainder when f is divided by w.\n | 16\n | ibivibiv/math_instruct | |
Let p(l) = -l**3 + 4*l**2 + l + 5. Let o be p(5). Let x = -11 - o. Suppose -11 = x*w + 9. Let u(v) = -v**3 - 3*v**2 + 8*v + 5. What is u(w)?\n | 15\n | ibivibiv/math_instruct | |
Are 9404059 and -0.2 equal?\n | False\n | ibivibiv/math_instruct | |
Let v be 8/(-18)*31461/(-8). Let i = -8/6613573 + 382324041821/218247909. Let f = i - v. Find the common denominator of 55/16 and f.\n | 176\n | ibivibiv/math_instruct | |
Collect the terms in 5320*y + 10602*y + 4722*y.\n | 20644*y\n | ibivibiv/math_instruct | |
What is the thousands digit of 142663576?\n | 3\n | ibivibiv/math_instruct | |
b"What is the pth term of -347589, -695203, -1042841, -1390509, -1738213, -2085959, -2433753, -2781601?\n" | -p**3 - 6*p**2 - 347589*p + 7\n | ibivibiv/math_instruct | |
Let r be 9/(2 - -1) + 2. Let q be (-3)/r - (-2)/(-5). Let g be (q/2)/((-12)/18). Do g and 0 have the same value?\n | False\n | ibivibiv/math_instruct | |
Simplify f/f**(2/37)*f**(-6/13)/f*f**17*f*f*(f**(-3/4)*f)/f assuming f is positive.\n | f**(34121/1924)\n | ibivibiv/math_instruct | |
Let w(f) = -3*f**3 + 1041*f**2 - 6172*f + 215. Give w(6).\n | 11\n | ibivibiv/math_instruct | |
Let f = -99.00000099 + 99. What is f rounded to 7 decimal places?\n | -0.000001\n | ibivibiv/math_instruct | |
Suppose -2*i - 3*i = -30. Let t(k) = i - 27*k - k**2 + 26*k - 2. Give t(-4).\n | -8\n | ibivibiv/math_instruct | |
-4 - (-4 + -4) - -1\n | 5\n | ibivibiv/math_instruct | |
What is the next term in -241, -239, -237?\n | -235\n | ibivibiv/math_instruct | |
Simplify 4 + ((sqrt(80)*-2)/sqrt(4))/(-5*-1*sqrt(10)).\n | -2*sqrt(2)/5 + 4\n | ibivibiv/math_instruct | |
Suppose 570 = 11*d - 17*d. Let i = d + 99. Suppose -3*p + i*x = -501, 4*p = 3*p - 2*x + 167. What is the tens digit of p?\n | 6\n | ibivibiv/math_instruct | |
What is -13 (base 15) in base 10?\n | -18\n | ibivibiv/math_instruct | |
Let m(k) = 4*k - 1. Let t be m(1). Suppose 3*w - t = 0, -5*x + 4*w + 1 = -5. Suppose x*c - 46 = -4*s, -2*c + 4*s + 30 = -0*s. Does 12 divide c?\n | False\n | ibivibiv/math_instruct | |
Suppose -24*h + 0 = 72. Let u = 9 + -11. Put h, u, -1 in increasing order.\n | h, u, -1\n | ibivibiv/math_instruct | |
Evaluate ((711/3)/(140/(-504)*-18))/((-6)/(-10)).\n | 79\n | ibivibiv/math_instruct | |
Suppose 3*q - 2*d = -32, -2*q = -q + 2*d. Let t be 300/q*(-288)/20. Let p be (3/(-6))/((-5)/t). Calculate the greatest common factor of 18 and p.\n | 18\n | ibivibiv/math_instruct | |
Let u = -32 - -29. Let c(m) = -11*m. Give c(u).\n | 33\n | ibivibiv/math_instruct | |
Suppose -4*w + 8*w = 2824. Let p be (-2)/9*((-286119)/(-30))/3. Let i = p + w. Find the common denominator of i and 17/3.\n | 15\n | ibivibiv/math_instruct | |
Two letters picked without replacement from uiuuiuuuuiuuiu. What is prob of sequence ii?\n | 6/91\n | ibivibiv/math_instruct | |
Is -1 at most as big as -4/11835?\n | True\n | ibivibiv/math_instruct | |
List the prime factors of 30496.\n | 2, 953\n | ibivibiv/math_instruct | |
Rearrange -d**3 + d**3 + 4*d**4 + (-2 + 2 - 4*d)*(13*d**2 - 13*d**2 - 16*d**3) to p*d**2 + f + k*d + i*d**4 + o*d**3 and give i.\n | 68\n | ibivibiv/math_instruct | |
Suppose 2*i - 196 = r, 0*i + r = 4*i - 394. Calculate the highest common divisor of 33 and i.\n | 33\n | ibivibiv/math_instruct | |
Simplify 2 + (1 + sqrt(343))*-4.\n | -28*sqrt(7) - 2\n | ibivibiv/math_instruct | |
Calculate the remainder when 1952 is divided by 212.\n | 44\n | ibivibiv/math_instruct | |
Does 125 divide 3850539?\n | False\n | ibivibiv/math_instruct | |
What is the next term in 17257680, 34515359, 51773038, 69030717, 86288396, 103546075?\n | 120803754\n | ibivibiv/math_instruct | |
Suppose -266*q + 564396 = 6*q - 1058628. Calculate the greatest common factor of 765 and q.\n | 153\n | ibivibiv/math_instruct | |
Let s(x) be the second derivative of x**8/6720 - x**7/2520 + x**6/240 - x**5/120 + 2*x**4/3 + 9*x. Let l(r) be the third derivative of s(r). Calculate l(2).\n | 9\n | ibivibiv/math_instruct | |
Find the common denominator of -23/107821 and -3.\n | 107821\n | ibivibiv/math_instruct | |
Factor 2/9*q**3 - 196/9 + 14/3*q + 8/3*q**2.\n | 2*(q - 2)*(q + 7)**2/9\n | ibivibiv/math_instruct | |
What are the prime factors of 2758036955?\n | 5, 551607391\n | ibivibiv/math_instruct | |
Is 12 a factor of 2050?\n | False\n | ibivibiv/math_instruct | |
Suppose -4*q = b, -2*q - q - 3*b = 0. Suppose q = 5*c - 6*c. Let t(l) = l**2 - 2. Let r be t(c). Is r at most as big as -3?\n | False\n | ibivibiv/math_instruct | |
Calculate -5 + 5 - (1 + 2 + 0).\n | -3\n | ibivibiv/math_instruct | |
What is the ten thousands digit of 516092?\n | 1\n | ibivibiv/math_instruct | |
Let w(r) = 5*r - 2. Determine w(0).\n | -2\n | ibivibiv/math_instruct | |
Solve 938*d = 6724 + 27044 for d.\n | 36\n | ibivibiv/math_instruct | |
What is the product of -0.4 and -3166882?\n | 1266752.8\n | ibivibiv/math_instruct | |
-12303 (base 9) to base 15\n | -26b0\n | ibivibiv/math_instruct | |
b"What is the sth term of -3197107, -6394226, -9591345, -12788464, -15985583?\n" | -3197119*s + 12\n | ibivibiv/math_instruct | |
Which is bigger: -2/5 or 722?\n | 722\n | ibivibiv/math_instruct | |
Let y be (0/(-3))/(12 - 17 - 1). Let m = 1 - 0.8. What is the fourth smallest value in m, 35, y, -1/9?\n | 35\n | ibivibiv/math_instruct | |
Let i(k) = -13*k. Let j(h) = 575*h**2. Give i(j(z)).\n | -7475*z**2\n | ibivibiv/math_instruct | |
What is the value of 8 - ((-8)/20 - 338/(-65))?\n | 16/5\n | ibivibiv/math_instruct | |
Let j = 2 + -2. Suppose j = -4*r - p + 7, r + 2*p + 0*p = -7. Factor 10 - 11 - 8*w**2 + r + 6*w.\n | -2*(w - 1)*(4*w + 1)\n | ibivibiv/math_instruct | |
Let c = 0.07 - -6.93. Let o = -3 + c. What is the nearest to 1 in o, -0.4, 0?\n | 0\n | ibivibiv/math_instruct | |
Calculate the greatest common factor of 408360 and 11685.\n | 615\n | ibivibiv/math_instruct | |
Is (-1425)/(-6)*(-5 - -7) a multiple of 21?\n | False\n | ibivibiv/math_instruct | |
Is 50733425905 a composite number?\n | True\n | ibivibiv/math_instruct | |
What is the units digit of 25567?\n | 7\n | ibivibiv/math_instruct | |
Let h(p) = -p**2 + 12*p - 11. Let w be h(11). Let f(i) be the first derivative of -5 + 1/6*i**4 + w*i**2 - 1/3*i + 1/3*i**3. What is j in f(j) = 0?\n | -1, 1/2\n | ibivibiv/math_instruct | |
Suppose -s - y = 2*s + 73, 3*s = 3*y - 69. Let a be 3/5 - s/10. Suppose h - 215 - 133 = -5*r, -a*h - 2*r = -1109. Is h a prime number?\n | True\n | ibivibiv/math_instruct | |
Let u(z) = 9*z**3 - 2*z. Let h = -22 + 7. Let i(r) = -r - 13. Let w be i(h). Let m(v) = -4*v**3 + v. Determine w*u(t) + 5*m(t).\n | -2*t**3 + t\n | ibivibiv/math_instruct | |
What is the second smallest value in -118, 1/10, -17/299?\n | -17/299\n | ibivibiv/math_instruct | |
What is the next term in 2081, 1300, 495, -340, -1211, -2124?\n | -3085\n | ibivibiv/math_instruct | |
Let f = -419121 - -466481612/1113. What is the common denominator of 9/119 and f?\n | 18921\n | ibivibiv/math_instruct | |
Solve 0 = p + m - 0*m - 1, 3*m = -5*p - 3 for p.\n | -3\n | ibivibiv/math_instruct | |
Is 25462 a multiple of 13?\n | False\n | ibivibiv/math_instruct | |
-897744 divided by -7608\n | 118\n | ibivibiv/math_instruct |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.