instruction_seed stringlengths 5 2.9k | response_seed stringlengths 3 9.55k | input stringclasses 1
value | _source stringclasses 1
value |
|---|---|---|---|
Let m be 9/6*(-28)/(-3). Differentiate 3*z**4 - m*z - 2 + 14*z with respect to z.\n | 12*z**3\n | ibivibiv/math_instruct | |
Simplify (i**(-2/33)*i*i*(i*i**11)/i)**(-2/3)/(i**(-5)*i**(-1/10)*i**1/(i*i**(-7)/i)) assuming i is positive.\n | i**(-11411/990)\n | ibivibiv/math_instruct | |
b"What is the gth term of -81787, -163321, -244865, -326425, -408007, -489617, -571261, -652945?\n" | -g**3 + g**2 - 81530*g - 257\n | ibivibiv/math_instruct | |
46 - (52 + 6 + -42)\n | 30\n | ibivibiv/math_instruct | |
Which is the fourth smallest value? (a) -1638 (b) -4 (c) 3 (d) -1.7\n | c\n | ibivibiv/math_instruct | |
Suppose 3*p - 2*p - 5 = 0. Let i = 5 - p. Suppose -5*d + 31 = j, i = j + 2*d - 0*d - 19. Solve 3*k = -2 + j for k.\n | 3\n | ibivibiv/math_instruct | |
Factor s**2/4 - 133157*s/2 + 17730786649/4.\n | (s - 133157)**2/4\n | ibivibiv/math_instruct | |
Let r(l) = -l**3 - 7*l**2 - 5*l - 2. Give r(-3).\n | -23\n | ibivibiv/math_instruct | |
Sort 71, 157, -28532.\n | -28532, 71, 157\n | ibivibiv/math_instruct | |
Is -6 <= -328/71?\n | True\n | ibivibiv/math_instruct | |
Calculate ((1/(-6))/1)/(135/(-90)).\n | 1/9\n | ibivibiv/math_instruct | |
What is the greatest common divisor of 6 and 6?\n | 6\n | ibivibiv/math_instruct | |
How many millimeters are there in one tenth of a kilometer?\n | 100000\n | ibivibiv/math_instruct | |
Does 3 divide 21708411?\n | True\n | ibivibiv/math_instruct | |
Solve 3*h + 2*o = 148, 5*o - 3*o = 4*h + 109 - 297 for h.\n | 48\n | ibivibiv/math_instruct | |
Suppose -2*o - 1165603 = -3*j, 2*o - 584928 = -j - 1750527. Round o to the nearest 10000.\n | -580000\n | ibivibiv/math_instruct | |
Suppose -5*k = k - 30. Suppose 0 = k*h - 2*h. Suppose -4*s + 15 = s. Solve 3*n - 13 = -2*x, h = -s*n + 6*n - 2*x + 7 for n.\n | 1\n | ibivibiv/math_instruct | |
Let w(n) = -118 + 249 + 2*n**2 + 0*n**2 - 8*n**2 - 82. Let l(h) = h. Determine l(w(d)).\n | -6*d**2 + 49\n | ibivibiv/math_instruct | |
Which is the closest to -11? (a) 3/1003 (b) -1/13 (c) -11\n | c\n | ibivibiv/math_instruct | |
Suppose 5*c + 0*k + 3*k = 66, 0 = -5*c + 3*k + 84. Is 1 at least c?\n | False\n | ibivibiv/math_instruct | |
In base 6, what is 5554 - -20?\n | 10014\n | ibivibiv/math_instruct | |
Let m(a) = -4*a**2 + 4*a + 10. Let o(z) = z**2 + z + 1. Let w(b) = -m(b) + 5*o(b). Is w(4) composite?\n | True\n | ibivibiv/math_instruct | |
What is the cube root of 409788362 to the nearest integer?\n | 743\n | ibivibiv/math_instruct | |
Let d = -225 - -370. What is the tens digit of d?\n | 4\n | ibivibiv/math_instruct | |
Let q(v) = v - 4. Let m = -31 - -34. Let g(f) = f + f - 4 + 11 - m*f. Let b be (6/9)/(14/63). Calculate b*g(t) + 5*q(t).\n | 2*t + 1\n | ibivibiv/math_instruct | |
Solve -5*k - 3*l = -7 + 17, -35 = 5*k - 2*l for k.\n | -5\n | ibivibiv/math_instruct | |
Suppose 8*n = 11*n - 6. Let s(h) = 3*h**3 - 2*h**2 - 3*h + 2. Is 6 a factor of s(n)?\n | True\n | ibivibiv/math_instruct | |
What are the prime factors of 409800?\n | 2, 3, 5, 683\n | ibivibiv/math_instruct | |
Suppose v = -4*p + 6*v - 564, -556 = 4*p - 3*v. Let n = p + 74. Let h = n - -90. Is 8 a factor of h?\n | False\n | ibivibiv/math_instruct | |
Let t(w) = 38*w + 2. Suppose 5*j = z + 8 - 36, 8 = -4*j. Let h be ((-1)/3)/((-3)/z). Let v be t(h). What is the greatest common divisor of 52 and v?\n | 26\n | ibivibiv/math_instruct | |
Let m(r) be the first derivative of r**5/15 + 25*r**4/12 + 47*r**3/3 - 221*r**2/6 - 338*r/3 - 249. Let m(d) = 0. Calculate d.\n | -13, -1, 2\n | ibivibiv/math_instruct | |
Let n(f) = -3*f**2 + 6*f + 8. Let h(d) = -d**2 + 2*d + 3. Let z(p) = -8*h(p) + 3*n(p). Find m such that z(m) = 0.\n | 0, 2\n | ibivibiv/math_instruct | |
Let i = 26 + -22. Suppose -4*o - 524 = -i*y, 4*y - o + 2*o = 519. What are the prime factors of y?\n | 2, 5, 13\n | ibivibiv/math_instruct | |
What is the square root of 23245344 to the nearest integer?\n | 4821\n | ibivibiv/math_instruct | |
Which is the closest to -552? (a) -2/9 (b) -5 (c) -4\n | b\n | ibivibiv/math_instruct | |
List the prime factors of 400247357.\n | 23, 29, 600071\n | ibivibiv/math_instruct | |
Express -3527 + 4605*n**2 + 3527 + 107*n**2 in the form f + h*n + d*n**2 and give d.\n | 4712\n | ibivibiv/math_instruct | |
b"What is the mth term of 836, 1674, 2512, 3350?\n" | 838*m - 2\n | ibivibiv/math_instruct | |
Let r(c) = -c**2 + 2*c - 1. Let f(n) = -2*n**2 + 2*n - 2. Let o(z) be the third derivative of -z**4/24 + z**3/6 - 2*z**2. Let m be o(-2). Give m*r(u) - 2*f(u).\n | u**2 + 2*u + 1\n | ibivibiv/math_instruct | |
What is 44 + (0 - (54 + 4))?\n | -14\n | ibivibiv/math_instruct | |
Let k(w) = -3*w + 5. Let x(y) = y - 1. Suppose 4*q - 198 = 110. Let a = q - 78. Let o be a/2 - (-54)/12. Give o*x(i) + k(i).\n | i + 1\n | ibivibiv/math_instruct | |
Simplify ((v**(-3/11)/v*v/((v/((v/v**(-2/5))/v))/v))/((v/((v**(-2)/v)/v*v))/(v**(6/5)*v)))**36 assuming v is positive.\n | v**(-3312/55)\n | ibivibiv/math_instruct | |
Suppose -2*q + 6 = -0. Let w = -0.12 - 4.88. Let j = 5.2 + w. What is the second smallest value in 0.3, j, q?\n | 0.3\n | ibivibiv/math_instruct | |
How many minutes are there between 8:32 PM and 8:44 PM?\n | 12\n | ibivibiv/math_instruct | |
Let d = -5 - -7. Suppose -5*u + d*u = -24. Calculate the remainder when 22 is divided by u.\n | 6\n | ibivibiv/math_instruct | |
What is the value of ((-25)/30)/((-14)/84)?\n | 5\n | ibivibiv/math_instruct | |
Let y be (-6)/2 - -3 - -5. Let r be (8/(-10))/((-2)/10). Suppose r*b - 11 - 8 = -5*c, -b - 11 = -4*c. Sort b, -3, y.\n | -3, b, y\n | ibivibiv/math_instruct | |
List the prime factors of 9153.\n | 3, 113\n | ibivibiv/math_instruct | |
What is the least common multiple of 90 and 19584?\n | 97920\n | ibivibiv/math_instruct | |
Simplify (((u/u**8)/u)/(u**(2/3)*u))**16*((u**(1/2)*u)/u)/(u*u/u**(-7)*u)*u*u/u**6*u*u*u/u**(-1) assuming u is positive.\n | u**(-985/6)\n | ibivibiv/math_instruct | |
Let f(o) = -2*o + 8. Let k(b) = -b**3 + 18*b**2 + 3*b + 32. Let i be k(18). Let u = -51 + i. Calculate the remainder when u is divided by f(-5).\n | 17\n | ibivibiv/math_instruct | |
Let q(r) = -14*r**3 - 9*r**2 + 2*r + 1. Calculate q(2).\n | -143\n | ibivibiv/math_instruct | |
Let f(q) be the first derivative of -q**2 - 3*q + 7 + 2/3*q**3. Calculate f(-2).\n | 9\n | ibivibiv/math_instruct | |
Let q = -88 - -146. Calculate the remainder when q is divided by 21.\n | 16\n | ibivibiv/math_instruct | |
Let u(b) = 27*b**3 + b**2 - b - 2. Let p be u(2). Suppose 0 = -6*t - 504 - 906. Let n = t + 259. Calculate the highest common divisor of p and n.\n | 24\n | ibivibiv/math_instruct | |
Let j be (-4114)/(-180) - (48/12 - 1). Let w = 119/6 - j. Is w <= 3?\n | True\n | ibivibiv/math_instruct | |
418 (base 10) to base 12\n | 2aa\n | ibivibiv/math_instruct | |
Express (-3 + 1 + 0)*(-72167*v + 72167*v - 983*v**2) as n*v + i*v**2 + f and give i.\n | 1966\n | ibivibiv/math_instruct | |
148.3*-5\n | -741.5\n | ibivibiv/math_instruct | |
Find the common denominator of -155/13906464 and 71/76.\n | 264222816\n | ibivibiv/math_instruct | |
What is the cube root of 15781608 to the nearest integer?\n | 251\n | ibivibiv/math_instruct | |
What is the value of -151 - -155 - (2 + -1 - 3)?\n | 6\n | ibivibiv/math_instruct | |
Let v(s) = -2*s**3 + 2*s**2 - 8*s - 4. Let n be v(-5). Suppose -4*x + 0*x + c = 12, 4*c - 24 = 4*x. List the prime factors of (x/(-4))/(4/n).\n | 2, 3, 7\n | ibivibiv/math_instruct | |
Find q, given that -14*q**5 + 2474*q**4 - 114792*q**3 + 470272*q**2 + 765056*q + 177504 = 0.\n | -1, -2/7, 6, 86\n | ibivibiv/math_instruct | |
Crystal wanted to sell everything left in her pastry class before closing for the night. She reduced her $3.00 cupcakes and her $x cookies by half. She made 32 money if she sold the last 16 cupcakes and 8 cookies. What is the value of unknown variable x? | To solve this problem, we need to determine the value of x, which represents the original price of the cookies.
Let's break down the information given:
Original price of cupcakes: $3.00
Original price of cookies: $x
Number of cupcakes sold: 16
Number of cookies sold: 8
Total money made: $32.00
We can set up the equatio... | ibivibiv/math_instruct | |
Let z = -166 + 170. Suppose 0 = 2*y - 5*y + 66. What is the lowest common multiple of z and y?\n | 44\n | ibivibiv/math_instruct | |
Is 133548517 composite?\n | False\n | ibivibiv/math_instruct | |
b"What is the hth term of 702, 756, 810, 864, 918?\n" | 54*h + 648\n | ibivibiv/math_instruct | |
Let f(r) = -r**3 + 6*r**2 + 6*r + 4. Suppose s - i + 32 = 6*s, 14 = 4*s - 5*i. What are the prime factors of f(s)?\n | 2, 5\n | ibivibiv/math_instruct | |
What is the third smallest value in -9, 59, 0.4?\n | 59\n | ibivibiv/math_instruct | |
Add -22.5 and 460.\n | 437.5\n | ibivibiv/math_instruct | |
How many millimeters are there in 737094.2nm?\n | 0.7370942\n | ibivibiv/math_instruct | |
Express -7*p**2 - p + 2 - 11 - 10*p**2 + 8 in the form b*p + h + s*p**2 and give h.\n | -1\n | ibivibiv/math_instruct | |
Is 10 a factor of 6280?\n | True\n | ibivibiv/math_instruct | |
Let o(a) = -a - 1. Let s(w) = -4*w - 283. Determine -3*o(y) + s(y).\n | -y - 280\n | ibivibiv/math_instruct | |
Let n = 50 + -13. Suppose 26 = 3*k - n. What is the greatest common factor of 84 and k?\n | 21\n | ibivibiv/math_instruct | |
Let s(l) = -2*l - 11. Let i(t) be the third derivative of -t**4/12 + 5*t**3/3 + 7104*t**2. Calculate s(i(k)).\n | 4*k - 31\n | ibivibiv/math_instruct | |
List the prime factors of 82026718.\n | 2, 233, 176023\n | ibivibiv/math_instruct | |
Suppose 3*r + r - 208 = 0. Let h be (r/5)/((-6)/(-45)). Let s = h - 53. Solve 2*p + s = -5*l, 10 = 2*p - l - l for p.\n | 0\n | ibivibiv/math_instruct | |
Three letters picked without replacement from {q: 2, a: 1, i: 7}. What is prob of sequence aiq?\n | 7/360\n | ibivibiv/math_instruct | |
Let b(l) = 16*l. Let f(y) = -93*y**2. What is f(b(a))?\n | -23808*a**2\n | ibivibiv/math_instruct | |
Calculate the common denominator of (15/6)/(-1 + -4) - (-2399)/4954 and -8.\n | 2477\n | ibivibiv/math_instruct | |
Let k(h) = -466*h**2 - 7*h + 14. Let s(c) = 158*c**2 + 2*c - 4. Let o(y) = -2*k(y) - 7*s(y). Let a(t) = -5*t**2. What is o(a(f))?\n | -4350*f**4\n | ibivibiv/math_instruct | |
Which is the closest to -14? (a) 0.5 (b) -0.1 (c) -31\n | b\n | ibivibiv/math_instruct | |
Let s(j) = -2*j**3 - 6*j**2 - 6*j. Let i(f) = f**3 + f**2 + f. What is 6*i(t) + s(t)?\n | 4*t**3\n | ibivibiv/math_instruct | |
Which is smaller: -2 or -73599476?\n | -73599476\n | ibivibiv/math_instruct | |
Rearrange -135*f + 507*f + 371*f + 424*f to p*f + m and give p.\n | 1167\n | ibivibiv/math_instruct | |
How many minutes are there between 8:47 AM and 8:32 PM?\n | 705\n | ibivibiv/math_instruct | |
What is next in -5, -98, -193, -290, -389, -490?\n | -593\n | ibivibiv/math_instruct | |
Let r(v) = v**2 + 15*v + 6. Let i be r(-15). Is 27 a factor of 57/2 - (-3)/i?\n | False\n | ibivibiv/math_instruct | |
Let l(w) = -3*w**3 + 5*w**2 + 37*w - 97. Is l(-18) composite?\n | False\n | ibivibiv/math_instruct | |
Let t = 1767229632861 + -1767227915686.000082. Let u = t + -1717177. Let n = u - -2. Round n to 5 decimal places.\n | -0.00008\n | ibivibiv/math_instruct | |
Let u(m) = 2*m + 20. Suppose 0 = -4*a + 40 + 20. What are the prime factors of u(a)?\n | 2, 5\n | ibivibiv/math_instruct | |
Let d(s) = -s**3 + 6*s**2 + s + 4. Let j be d(6). What is the remainder when 97 is divided by j/(-3)*(-45)/3?\n | 47\n | ibivibiv/math_instruct | |
Let d(n) be the first derivative of n**6/100 - n**5/20 + n**4/20 + 5*n**2 - 4. Let j(p) be the second derivative of d(p). Factor j(o).\n | 3*o*(o - 2)*(2*o - 1)/5\n | ibivibiv/math_instruct | |
Simplify ((b/((b*b**38)/b))/b**(5/17))**23 assuming b is positive.\n | b**(-14582/17)\n | ibivibiv/math_instruct | |
Suppose 3*a = -3*r + 15, -7*r + 3*r = -3*a + 15. Let f(h) = h. Let n(t) = -2*t. Let l(c) = -8*f(c) - 3*n(c). Determine l(a).\n | -10\n | ibivibiv/math_instruct | |
Let x = -384 + 400. Factor 6*z - 10*z**2 - 2*z + 4*z**5 + x*z**4 - 28 - 2*z**3 + 30 - 12*z**5 - 2*z.\n | -2*(z - 1)**3*(2*z + 1)**2\n | ibivibiv/math_instruct | |
Let x(s) = -13026*s**2. Let h(f) = -5*f**2. Give x(h(o)).\n | -325650*o**4\n | ibivibiv/math_instruct | |
Is -1822 smaller than -11690?\n | False\n | ibivibiv/math_instruct |
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