instruction_seed stringlengths 5 2.9k | response_seed stringlengths 3 9.55k | input stringclasses 1
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|---|---|---|---|
Let n(m) = m**3 + 7*m**2 + 7*m + 1. Let g be n(-6). Let y(w) = 9*w + 308. Let d be y(-34). Sort 250, d, g in decreasing order.\n | 250, d, g\n | ibivibiv/math_instruct | |
Let j(u) = -u**2 + u + 5. Let s be j(0). Suppose 2*q = 3 + s. Suppose 5*v = w - 850000, 0*v + q*v = -3*w - 680000. Round v to the nearest 100000.\n | -200000\n | ibivibiv/math_instruct | |
Differentiate 2*s**4*u + 2*s**4 + 43*s*u + 6*s - 40410*u wrt s.\n | 8*s**3*u + 8*s**3 + 43*u + 6\n | ibivibiv/math_instruct | |
What is the common denominator of 99/60340 and -137/26430?\n | 159478620\n | ibivibiv/math_instruct | |
Suppose -5*z + 35 = 5*k, -16 = -4*z - 2*k + k. Let l be ((0/4)/z)/(-1). Suppose -15 = -3*s - l. Solve h - 2 = 0, -2*x + s*h - 6 = 14 for x.\n | -5\n | ibivibiv/math_instruct | |
Let d = -16 - -17. Is -0.08 equal to d?\n | False\n | ibivibiv/math_instruct | |
Suppose 4*x = -5*r + 26 + 28, -4*x = 4*r - 44. What are the prime factors of r?\n | 2, 5\n | ibivibiv/math_instruct | |
Suppose -5*k + 2*z + 26 = 0, 0 = k + 2*k - 2*z - 18. Suppose 0 = g + k*g. Let j(a) = 4*a + g*a + 6*a - 16*a. Let q(w) = 2*w**2. Give j(q(d)).\n | -12*d**2\n | ibivibiv/math_instruct | |
Let n = 0.2 - -0.8. Let z be 171/(-114)*(-12)/(-63). What is the closest to 0.1 in 3, n, z?\n | z\n | ibivibiv/math_instruct | |
Rearrange -223*s - 402*s - 108*s - 212*s to k*s + b and give k.\n | -945\n | ibivibiv/math_instruct | |
Expand (31858*h + 22018*h - 8000*h - 79523 + 79523)*(-h + 4*h - 4*h)*(2 - 5 + 1).\n | 91752*h**2\n | ibivibiv/math_instruct | |
Solve 2*r = s, -155*r - s + 2*s - 4 = -154*r for r.\n | 4\n | ibivibiv/math_instruct | |
What is the greatest common factor of 245 and 280?\n | 35\n | ibivibiv/math_instruct | |
Factor -4*t**2/3 + 1572032*t - 463365864192.\n | -4*(t - 589512)**2/3\n | ibivibiv/math_instruct | |
Let c(s) = -2*s**3 + 99*s**2 - 44*s - 242. Determine c(49).\n | 3\n | ibivibiv/math_instruct | |
Let y(c) = -2*c. Let o(a) = -869236*a. Calculate o(y(j)).\n | 1738472*j\n | ibivibiv/math_instruct | |
What is 546 minutes before 3:45 AM?\n | 6:39 PM\n | ibivibiv/math_instruct | |
What is the ten thousands digit of 34193782?\n | 9\n | ibivibiv/math_instruct | |
Let d(h) = 6*h - 6. Let y be (18/(-15))/(2*(-3)/20). Suppose 0*x = -y*x + 20. Determine d(x).\n | 24\n | ibivibiv/math_instruct | |
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"2 clicks to define the bisector line & 3 Smart Dims. Another way to prevent getting this page in the future is to use Privacy Pass. I finally went with a variation of Deepaks answer where I Smart Dim the angle between the two... | Let us delve into the fascinating world of geometry, specifically focusing on the concept of a bisector line and how it relates to planes. A bisector line is a line segment that divides another line segment into two equal parts; hence, it bisects or cuts it in half. When discussing three-dimensional space, we refer to... | ibivibiv/math_instruct | |
Express 0*g + 2 + 0*g - 8*g**2 - 2*g**4 - g + 6*g**2 as y*g + d*g**4 + m*g**2 + p + b*g**3 and give p.\n | 2\n | ibivibiv/math_instruct | |
Let q(m) be the second derivative of -m**5/20 - m**4/8 + m**3/2 - 2*m. Let k(f) be the second derivative of q(f). What is the units digit of k(-2)?\n | 9\n | ibivibiv/math_instruct | |
Sort 3/7, 18, -5.\n | -5, 3/7, 18\n | ibivibiv/math_instruct | |
Let o = -150433211/440 + 2735697/8. Let v = 686/11 - o. Find the common denominator of v and 89/8.\n | 40\n | ibivibiv/math_instruct | |
Calculate prob of sequence ig when two letters picked without replacement from {g: 1, m: 4, i: 3}.\n | 3/56\n | ibivibiv/math_instruct | |
What is the product of 4.50177 and 0.0485?\n | 0.218335845\n | ibivibiv/math_instruct | |
Find the first derivative of -3*m**4*s**2 - 14*m**3*s**2 + s**2 - 13*s wrt m.\n | -12*m**3*s**2 - 42*m**2*s**2\n | ibivibiv/math_instruct | |
Let i be (-2 - (-22)/4)*12/21. What is the third derivative of -4*s**3 + 35*s**i - 164*s**2 + 2*s**3 + 0*s**3 + 28*s**3 wrt s?\n | 156\n | ibivibiv/math_instruct | |
Let v(x) be the second derivative of -x**5/20 - x**4/12 - x**3/6 - 10*x + 83. Let d(y) = -3*y**3 - 4*y**2 - 4*y. Calculate d(u) - 4*v(u).\n | u**3\n | ibivibiv/math_instruct | |
Suppose 0 = -4*x + 74 - 30. Suppose x*p - 9*p = 28. Let j(u) = -2*u**2 + 13 + 3*u + p - 43 + 15. Give j(2).\n | -3\n | ibivibiv/math_instruct | |
Let c(n) = n**2 + 7*n. Let w be c(-7). Let a be (-1 - 0)*(-1)/3. What is the biggest value in 2, w, a?\n | 2\n | ibivibiv/math_instruct | |
Let c(f) = 3*f**3 + 2*f - 1. Let t(q) = -q**2 - 10*q - 3. Suppose 0 = 3*d + 3*j + 6 + 33, 5 = -d + j. Calculate the lowest common multiple of t(d) and c(1).\n | 12\n | ibivibiv/math_instruct | |
What is the fourth smallest value in 1.25, 1/2, 1.6, 0.6?\n | 1.6\n | ibivibiv/math_instruct | |
Let h = 216 - -68. Is 43 a factor of h?\n | False\n | ibivibiv/math_instruct | |
Expand (4 + 9*b + 1128*b**3 - 16*b - 1130*b**3)*(4*b + 0*b - 2*b)*(-3 + 6 + 3)*(0*b + 0*b + 2*b).\n | -48*b**5 - 168*b**3 + 96*b**2\n | ibivibiv/math_instruct | |
Calculate -7.3*-0.1.\n | 0.73\n | ibivibiv/math_instruct | |
Solve 66*w = 67*w - 5 for w.\n | 5\n | ibivibiv/math_instruct | |
Suppose 0*t + 2*w = -t + 4, 5*w - 13 = -t. Let a = 29248 + -29265. Put -3, t, a in increasing order.\n | a, -3, t\n | ibivibiv/math_instruct | |
Suppose -15 + 0 = -5*a. Let t = a + 0. Suppose -5*l - 2*s + 162 = 0, -4*l + 4 = -t*s - 144. What are the prime factors of l?\n | 2, 17\n | ibivibiv/math_instruct | |
Round -0.00072404818 to seven dps.\n | -0.000724\n | ibivibiv/math_instruct | |
What is the common denominator of 53/13203 and 31/15151176?\n | 136360584\n | ibivibiv/math_instruct | |
Suppose -54 = 5*a - 259. Let g = a + -27. What is the highest common divisor of 35 and g?\n | 7\n | ibivibiv/math_instruct | |
Let a(n) = n**3 - 27*n**2 - 31*n + 97. Determine a(28).\n | 13\n | ibivibiv/math_instruct | |
Calculate the greatest common divisor of 25 and 2.\n | 1\n | ibivibiv/math_instruct | |
Let b = -3.1755 + -14.853. Let x = b + 18.1. What is x rounded to 2 decimal places?\n | 0.07\n | ibivibiv/math_instruct | |
Let -5*w**3/2 - 14135*w**2 - 9326960*w + 33429118160 = 0. What is w?\n | -3404, 1154\n | ibivibiv/math_instruct | |
Suppose 5*u**5 - 3350*u**4 + 429920*u**3 - 2460000*u**2 = 0. What is u?\n | 0, 6, 164, 500\n | ibivibiv/math_instruct | |
Let y = 19.1 - 19. Let j = 65 - 69. Let m = -0.03 - 0.27. Put j, m, y in increasing order.\n | j, m, y\n | ibivibiv/math_instruct | |
List the prime factors of 2364305.\n | 5, 509, 929\n | ibivibiv/math_instruct | |
Let f = -0.124 + -0.606. Let b = f + 1.13. What is the third biggest value in 4, -5, 2, b?\n | b\n | ibivibiv/math_instruct | |
Let o(l) = -4*l**2 + 58*l. Let a(u) = 2*u. Determine a(o(n)).\n | -8*n**2 + 116*n\n | ibivibiv/math_instruct | |
Let m = -3300/13 - -254. Let y = -0.075 + -2.925. Let g = -0.4 + 0. Which is the closest to y? (a) g (b) m (c) 3\n | a\n | ibivibiv/math_instruct | |
Express ((-2 + 0 + 3)*(-2 - 2 + 3) + 1 - 2 - 2)*(-2*v - 2*v - 2*v) as f + y*v and give y.\n | 24\n | ibivibiv/math_instruct | |
Let g = -10 + 17. Suppose 2*i - 4*i = 2*i. Suppose i*r + 4 = 2*r. Solve -r*j - 4*a = -2, 3*j + a + g = 4*j for j.\n | 5\n | ibivibiv/math_instruct | |
Let r(m) = -m**2 + 2*m. Let o be (0 + 2/2)*1. Let n be r(o). Let p be -1*n*(1 - 0). What is the closest to p in -1/7, -5, -1/5?\n | -1/5\n | ibivibiv/math_instruct | |
Collect the terms in 424 + 51*k - 10*k + 17*k + 51*k.\n | 109*k + 424\n | ibivibiv/math_instruct | |
Let q(s) be the third derivative of -s**5/12 + 40*s**4/3 + 5*s**2 + 5*s. Factor q(j).\n | -5*j*(j - 64)\n | ibivibiv/math_instruct | |
Solve -10*q - 13*y + 12*y = 163, -5*q = -4*y + 68 for q.\n | -16\n | ibivibiv/math_instruct | |
What is the third root of 535176920 to the nearest integer?\n | 812\n | ibivibiv/math_instruct | |
Does 45 divide ((-72)/(-10))/((-9)/(-60))?\n | False\n | ibivibiv/math_instruct | |
Let r(v) = -3*v**3 + 4*v**2 + 7. Let g(u) = 4*u**3 - 5*u**2 - 8. Let n be -8 + 5 + (0 - 2). Let w(f) = n*r(f) - 4*g(f). What is the derivative of w(i) wrt i?\n | -3*i**2\n | ibivibiv/math_instruct | |
What are the prime factors of 110783?\n | 139, 797\n | ibivibiv/math_instruct | |
Let o be 9 - (-1 - (-1 + 1)). Let p(a) = 3*a**2 + o - 2*a**2 - 2*a**2. Is p(0) a prime number?\n | False\n | ibivibiv/math_instruct | |
Put -11, 12, -69/2, -0.5, 40/3, 1 in decreasing order.\n | 40/3, 12, 1, -0.5, -11, -69/2\n | ibivibiv/math_instruct | |
What is 6 (base 7) in base 11?\n | 6\n | ibivibiv/math_instruct | |
What is 1570773 (base 9) in base 14?\n | 18a34a\n | ibivibiv/math_instruct | |
Let o = -653 - -657. What is the smallest value in 33, -2, o?\n | -2\n | ibivibiv/math_instruct | |
Evaluate (-1)/((-11)/132*(-21)/28).\n | -16\n | ibivibiv/math_instruct | |
Which is the fourth biggest value? (a) 4 (b) -1.5 (c) -1 (d) -2/11 (e) -4 (f) -2359\n | b\n | ibivibiv/math_instruct | |
What is the value of 10/((-320)/(-44)) + -1?\n | 3/8\n | ibivibiv/math_instruct | |
Collect the terms in 50*j**3 - 97*j**3 + 46*j**3.\n | -j**3\n | ibivibiv/math_instruct | |
Express -48 + 3*k + 56 - 3*k**2 - 6 in the form p + b*k**2 + c*k and give c.\n | 3\n | ibivibiv/math_instruct | |
In base 15, what is 10 - -1b5335?\n | 1b5345\n | ibivibiv/math_instruct | |
What is 0.0004897789 rounded to six decimal places?\n | 0.00049\n | ibivibiv/math_instruct | |
Differentiate -778*u*w**2 + u*w - 38740*u - 2*w wrt w.\n | -1556*u*w + u - 2\n | ibivibiv/math_instruct | |
-82116 (base 9) to base 13\n | -1b7a1\n | ibivibiv/math_instruct | |
Simplify ((l**(-1/2))**(1/2)/((l*l**(-7/4)*l)/(l/(l/l**(-8))*l*l)))/(l**(-2)*l/l**(1/13)*(l**(2/9))**5) assuming l is positive.\n | l**(-1529/234)\n | ibivibiv/math_instruct | |
-1030102 (base 5) to base 9\n | -26034\n | ibivibiv/math_instruct | |
What is -2 (base 11) in base 3?\n | -2\n | ibivibiv/math_instruct | |
Find the third derivative of -32*t**6 - 347*t**5 + 2*t**3 + 7*t**2 - 22*t - 331 wrt t.\n | -3840*t**3 - 20820*t**2 + 12\n | ibivibiv/math_instruct | |
-458 divided by -71272\n | 229/35636\n | ibivibiv/math_instruct | |
(((-9)/(-6))/(1/(-2)))/((-259)/(-259))\n | -3\n | ibivibiv/math_instruct | |
Let w(j) = -407*j**3 + 7*j**2 - 5*j - 1. Let t be w(1). Let l = t + 409. Let i(p) = -p**3 + p**2 + 2*p + 7. Give i(l).\n | -5\n | ibivibiv/math_instruct | |
What is the value of 898 + -855 - (1 + 62)?\n | -20\n | ibivibiv/math_instruct | |
Simplify (sqrt(429)/(sqrt(22)/sqrt(2)))/(-2*sqrt(3)*4).\n | -sqrt(13)/8\n | ibivibiv/math_instruct | |
Convert 673213.7 grams to micrograms.\n | 673213700000\n | ibivibiv/math_instruct | |
((-92092)/(-7176))/(22/(-2))\n | -7/6\n | ibivibiv/math_instruct | |
Let f = 0 + 1. Let y(o) = 3*o**2 - o. Let k be y(f). Suppose k*t - 12 = 8. List the prime factors of t.\n | 2, 5\n | ibivibiv/math_instruct | |
Let j(f) = -f**3 - 2*f**2 - 3*f - 2. Let u be j(-2). Let w be (u/(-3))/(2/(-6)). What is the units digit of (-35)/15*(1 - w)?\n | 7\n | ibivibiv/math_instruct | |
Sort 35, -2, 3, -1, 314, -5, 5.\n | -5, -2, -1, 3, 5, 35, 314\n | ibivibiv/math_instruct | |
Let r(p) = -1 + 4*p**2 - 2*p - 4*p**2 - 4*p**2. Let l = -9 + 12. Suppose -l*c = -c + 2. Give r(c).\n | -3\n | ibivibiv/math_instruct | |
What comes next: 117267, 233679, 350109, 466563, 583047, 699567, 816129, 932739?\n | 1049403\n | ibivibiv/math_instruct | |
Let v = -4 - -27. Let u = -1172 + 1166.981. Let i = u - -0.019. Which is the second biggest value? (a) -2 (b) v (c) i (d) 0.2\n | d\n | ibivibiv/math_instruct | |
Which is the smallest value? (a) -14/17 (b) -25 (c) 0 (d) -3\n | b\n | ibivibiv/math_instruct | |
What is the biggest value in -0.5, 0.2, -2/15, 0?\n | 0.2\n | ibivibiv/math_instruct | |
Simplify ((s**(3/2)/s*s)/(s/((s*((s/s**3*s*s)/s)/s)/s))*(s**(-1))**(-1/16))/(s/(s**(-1/3)*s)*s**(1/4)*(s**(2/7)*s)**(-20)) assuming s is positive.\n | s**(7961/336)\n | ibivibiv/math_instruct | |
32/(-176) - (-112)/(-110)\n | -6/5\n | ibivibiv/math_instruct | |
Determine a, given that -3*a**2 - 23607540*a - 46442995404300 = 0.\n | -3934590\n | ibivibiv/math_instruct | |
4 divided by -6937694\n | -2/3468847\n | ibivibiv/math_instruct | |
Expand (-1 - 1 + 0)*(-1 - 2*c**3 + 1) - 2*c**2 - 3*c**3 + 1 + c**3 + 4*c**3.\n | 6*c**3 - 2*c**2 + 1\n | ibivibiv/math_instruct |
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