instruction_seed stringlengths 5 2.9k | response_seed stringlengths 3 9.55k | input stringclasses 1
value | _source stringclasses 1
value |
|---|---|---|---|
Simplify (1*(sqrt(704) + -5)*1*-2)**2.\n | -320*sqrt(11) + 2916\n | ibivibiv/math_instruct | |
What is 19.26588l in millilitres?\n | 19265.88\n | ibivibiv/math_instruct | |
Suppose -3*h = -9*k + 4*k + 105, -3*h = -4*k + 102. Let w be (10 + -1)*(-10)/h. Suppose 5*a + 4 = 4*u, -w*a - a = -4*u + 8. What is the units digit of u?\n | 6\n | ibivibiv/math_instruct | |
What is -100199 rounded to the nearest 100000?\n | -100000\n | ibivibiv/math_instruct | |
Let a(f) = -3*f + 7. Let t(p) = 5*p. Calculate t(a(i)).\n | -15*i + 35\n | ibivibiv/math_instruct | |
Let k = -12 - -13. Let o = 7/6 + 1/3. Which is the third smallest value? (a) k (b) o (c) 5\n | c\n | ibivibiv/math_instruct | |
b"What is the nth term of 73, 150, 227, 304, 381?\n" | 77*n - 4\n | ibivibiv/math_instruct | |
Simplify 6*(1 + (3*sqrt(432)*1 - (sqrt(432) + (3 + 2 + sqrt(432) - sqrt(432)))**2)).\n | -2736 - 504*sqrt(3)\n | ibivibiv/math_instruct | |
What is 300300034 (base 5) in base 2?\n | 100100000011001010101\n | ibivibiv/math_instruct | |
Simplify a**(-20/3)/a**(-36) assuming a is positive.\n | a**(88/3)\n | ibivibiv/math_instruct | |
Let k(x) be the first derivative of -2*x**3/3 + 7*x**2 - 22*x - 830. Give k(6).\n | -10\n | ibivibiv/math_instruct | |
Collect the terms in -222157*f + 111089*f + 111073*f.\n | 5*f\n | ibivibiv/math_instruct | |
Let k(f) = -f**3 - 11*f**2 - 18*f - 8. Determine k(-2).\n | -8\n | ibivibiv/math_instruct | |
If there were 3 people running for president and John received 150 votes, and James captured 70% of the remaining votes, with a total of 1150 people voting, how many more votes did the third candidate receive compared to John? | If John received 150 votes, then the remaining votes would be 1150 - 150 = 1000 votes.
James captured 70% of the remaining votes, so he received 0.7 * 1000 = 700 votes.
The third candidate must have received the remaining votes, which is 1000 - 700 = 300 votes.
To find out how many more votes the third candidate receiv... | ibivibiv/math_instruct | |
Evaluate (-18*(-2)/16)/13*160/(-60).\n | -6/13\n | ibivibiv/math_instruct | |
What is the square root of 3718963621 to the nearest integer?\n | 60983\n | ibivibiv/math_instruct | |
Solve 5*l + 31 = 11 for l.\n | -4\n | ibivibiv/math_instruct | |
Let h = -1286 + 6253. Is h/4 + 4/16 + -1 a prime number?\n | False\n | ibivibiv/math_instruct | |
What is the next term in 294, 227, 116, -39?\n | -238\n | ibivibiv/math_instruct | |
Suppose 1 + 11 = 4*b. Let q = 7 - b. Solve -4*k + q = -3*d - 2*d, -5 = -5*k - 2*d for k.\n | 1\n | ibivibiv/math_instruct | |
Simplify p**(2/11)/(p/p**11)*p**(-2/3)/p*p/p**1 assuming p is positive.\n | p**(281/33)\n | ibivibiv/math_instruct | |
What is the second derivative of 4061*i*r**2 + 17*i*r + 73*i wrt r?\n | 8122*i\n | ibivibiv/math_instruct | |
What is the second derivative of -88846*n**2*y**4 + 2*n**2*y - 4668*n*y - 3 wrt y?\n | -1066152*n**2*y**2\n | ibivibiv/math_instruct | |
Calculate 34645315 divided by -805705.\n | -43\n | ibivibiv/math_instruct | |
Which is smaller: 24157727 or 24157722?\n | 24157722\n | ibivibiv/math_instruct | |
What is the result of the following expression?
(10.516 / -54.359) - (28.183 * 19.371) | -546.1263 | ibivibiv/math_instruct | |
Let q(p) = -2*p - 7. Let k be q(-6). Suppose 3*c + 4 = k*c. Suppose r - 1 = c*r. Sort 0, r, -4.\n | -4, r, 0\n | ibivibiv/math_instruct | |
What is 2119110 to the power of 1/3, to the nearest integer?\n | 128\n | ibivibiv/math_instruct | |
What are the prime factors of 3400477?\n | 137, 24821\n | ibivibiv/math_instruct | |
Let k = -0.0296 - 6.1404. Round k to the nearest integer.\n | -6\n | ibivibiv/math_instruct | |
In base 13, what is -18ac4 + -2?\n | -18ac6\n | ibivibiv/math_instruct | |
What is prob of picking 2 r when two letters picked without replacement from {f: 3, t: 1, y: 1, l: 3, r: 6}?\n | 15/91\n | ibivibiv/math_instruct | |
Calculate 1/1*5*4/180.\n | 1/9\n | ibivibiv/math_instruct | |
What is the highest common factor of 8148 and 84?\n | 84\n | ibivibiv/math_instruct | |
Which is the fourth biggest value? (a) -0.3 (b) 3/2 (c) -1/9 (d) -0.4\n | d\n | ibivibiv/math_instruct | |
Suppose -i - 25 = -6*i. Let m = -3 + i. Let s be ((-12)/510)/(m/10). Which is the biggest value? (a) s (b) -2/19 (c) 2\n | c\n | ibivibiv/math_instruct | |
Let u be (3 - 16/6)/1*-6. Is 19 a factor of -2*(-411*(-2)/6)/u?\n | False\n | ibivibiv/math_instruct | |
Let t = 0.83 - 66.83. Let q = t - -66.033. Round q to 2 dps.\n | 0.03\n | ibivibiv/math_instruct | |
Let d(n) = -n**3 + 2*n + 2. Let w be 0/(-3 - (7 - 8)). Determine d(w).\n | 2\n | ibivibiv/math_instruct | |
What is the result of the following expression?
39.8607 / -44.6057 | -0.8936 | ibivibiv/math_instruct | |
Let k(g) be the third derivative of g**5/30 - g**2. Let n(z) = -z. Let y(b) = -3*b**2 + 6*b. Let l(s) = -6*n(s) - y(s). Determine k(l(h)).\n | 18*h**4\n | ibivibiv/math_instruct | |
Let t = 207 - 203. Suppose 3*j - g - 37 = 0, -5*j + t*g = 8*g - 73. Solve -j = 5*q + 3*d, 4*d = -4 - 0 for q.\n | -2\n | ibivibiv/math_instruct | |
How many minutes are there between 10:52 PM and 4:37 AM?\n | 345\n | ibivibiv/math_instruct | |
Let a = 0.4994 - 0.5485. Are a and 3 unequal?\n | True\n | ibivibiv/math_instruct | |
Solve 2*g**3/19 + 19020*g**2/19 - 57086*g/19 - 76104/19 = 0.\n | -9513, -1, 4\n | ibivibiv/math_instruct | |
Write an educational piece suited for college students related to the following text snippet:
"# why is homology isomorphic to reduced homology plus Z?
by redbowlover
Tags: homology, isomorphic, reduced
P: 16 Working through Hatcher... For any space X, we have an augmented chain complex $...\rightarrow C_1(X) \righta... | Homology theory is a fundamental concept in algebraic topology, used to study the topological properties of spaces by associating them with groups that encode information about loops, circles, and other n-dimensional holes within the space. In particular, simplicial homology provides a way to compute these groups usin... | ibivibiv/math_instruct | |
What is next in -6755, -13420, -20085, -26750?\n | -33415\n | ibivibiv/math_instruct | |
Round -9977.6 to the nearest 100.\n | -10000\n | ibivibiv/math_instruct | |
Does -26020 = -33844?\n | False\n | ibivibiv/math_instruct | |
What is 100ec (base 15) in base 16?\n | c69f\n | ibivibiv/math_instruct | |
Solve -5*l = -l, 5*o + 3*l - 25 = 0 for o.\n | 5\n | ibivibiv/math_instruct | |
Let o be -4 - 1 - (-6)/(-4)*-3. Let q be 3/(-2)*(-12)/54. Let y be (-27)/30*15/(-36). Put o, q, y in descending order.\n | y, q, o\n | ibivibiv/math_instruct | |
Write an educational piece suited for college students related to the following text snippet:
"# excenter of a triangle
Cite. Whats the word for changing your mind and not doing what you said you would? Let be the circumradius and the exradius. Here are the 4 most popular ones: Centroid, Circumcenter, Incenter and Ort... | Let us begin by discussing the concept of an "excenter" of a triangle. This term refers to the center of an excircle, which is a circle located outside the triangle and tangent to its three sides. Each triangle has three distinct excenters, corresponding to the three angles of the triangle. These excenters can be cons... | ibivibiv/math_instruct | |
Evaluate 3 + 5 + 0 - (3 - 0).\n | 5\n | ibivibiv/math_instruct | |
What is the units digit of 216568524?\n | 4\n | ibivibiv/math_instruct | |
-62166260 divided by 4782020\n | -13\n | ibivibiv/math_instruct | |
What is the highest common factor of 8998 and 2642?\n | 2\n | ibivibiv/math_instruct | |
Is 8931 a multiple of 6?\n | False\n | ibivibiv/math_instruct | |
Which is smaller: 4.52 or 1/46?\n | 1/46\n | ibivibiv/math_instruct | |
Let t be (-3 - -3) + -2 + 7. Let l(v) = -v**3 + 5*v**2 - v + 7. Calculate the least common multiple of 10 and l(t).\n | 10\n | ibivibiv/math_instruct | |
Let z(i) = 5*i**2 - 26*i - 17. Let f(y) = -3*y**2 + 12*y + 8. Let a(r) = 13*f(r) + 6*z(r). Calculate a(2).\n | -34\n | ibivibiv/math_instruct | |
Determine a so that -5*a**4 - 105*a**3 - 695*a**2 - 1695*a - 1100 = 0.\n | -11, -5, -4, -1\n | ibivibiv/math_instruct | |
Is 18089 a composite number?\n | False\n | ibivibiv/math_instruct | |
Let d(r) be the third derivative of 0*r + 0 + 0*r**7 - 4*r**2 + 0*r**3 + 0*r**4 + 0*r**6 + 1/15*r**5 + 1/112*r**8. What is the third derivative of d(i) wrt i?\n | 180*i**2\n | ibivibiv/math_instruct | |
Find the second derivative of -10458*a**2 + 32098*a wrt a.\n | -20916\n | ibivibiv/math_instruct | |
Let c(p) = p - 2. Give c(2).\n | 0\n | ibivibiv/math_instruct | |
Let m = -26 + 48. Suppose -5*p = m - 62. Suppose 2*t + 4 = p. What is the least common multiple of t and 14?\n | 14\n | ibivibiv/math_instruct | |
Collect the terms in -2*t + 682748978 - 682748978.\n | -2*t\n | ibivibiv/math_instruct | |
Let w = 2658/5 - 15943/30. Suppose 5*q - 2*v + 7*v - 45 = 0, 4*q - v - 16 = 0. Suppose -q*n + 3*m = 53, -3 - 12 = n - 5*m. Put n, -4/5, w in ascending order.\n | n, -4/5, w\n | ibivibiv/math_instruct | |
What is the value of 56/(-6)*(2 + 663/68 + -14)?\n | 21\n | ibivibiv/math_instruct | |
Let u = 333 - -214. Suppose 0 = -4*w + 3*q + u, 3*w = 2*w - q + 135. What is the remainder when w is divided by 40?\n | 16\n | ibivibiv/math_instruct | |
Is 6376818 a multiple of 57?\n | True\n | ibivibiv/math_instruct | |
Which is the closest to -10/7? (a) -21 (b) -1/650 (c) 0.5 (d) 39\n | b\n | ibivibiv/math_instruct | |
What is the second derivative of 15*k**4 + 11*k + 3*k**4 - 7*k + 11*k wrt k?\n | 216*k**2\n | ibivibiv/math_instruct | |
Sort 8, 3, -4/5, -0.4.\n | -4/5, -0.4, 3, 8\n | ibivibiv/math_instruct | |
What is the third root of 17993 to the nearest integer?\n | 26\n | ibivibiv/math_instruct | |
What is the nearest to -62 in -0.2, -0.4, -5/11?\n | -5/11\n | ibivibiv/math_instruct | |
Let r(m) = -2*m + m + 4 - 1 + 3*m. Calculate the least common multiple of 4 and r(4).\n | 44\n | ibivibiv/math_instruct | |
What is the highest common divisor of 40817 and 806344?\n | 833\n | ibivibiv/math_instruct | |
What is the value of 48/120*210/(-28)?\n | -3\n | ibivibiv/math_instruct | |
Let h = -0.2494 + 0.0994. What is the closest to 0 in 1/7, h, -0.1?\n | -0.1\n | ibivibiv/math_instruct | |
Calculate the remainder when 10865 is divided by 569.\n | 54\n | ibivibiv/math_instruct | |
Solve -30 = -26*g + 74 for g.\n | 4\n | ibivibiv/math_instruct | |
Simplify ((-2*(-3*sqrt(2700) + sqrt(2700)))/(sqrt(441) + 5*-2*sqrt(441)) + -3)*-1.\n | 40*sqrt(3)/63 + 3\n | ibivibiv/math_instruct | |
Factor -x**5 - 11*x**4 - 19*x**3 + 115*x**2 + 200*x - 500.\n | -(x - 2)**2*(x + 5)**3\n | ibivibiv/math_instruct | |
What is 3 (base 11) in base 4?\n | 3\n | ibivibiv/math_instruct | |
Solve 25542*p = 25374*p + 9072 for p.\n | 54\n | ibivibiv/math_instruct | |
List the prime factors of 2525176.\n | 2, 19, 37, 449\n | ibivibiv/math_instruct | |
What is the value of 25 - (-35 + (145 - 53))?\n | -32\n | ibivibiv/math_instruct | |
What is the ten thousands digit of 36129389?\n | 2\n | ibivibiv/math_instruct | |
Suppose -28 = -7*v + 3*v. Let l(c) = 156*c + 26. Calculate the remainder when l(0) is divided by v.\n | 5\n | ibivibiv/math_instruct | |
What is the hundred thousands digit of 245467645?\n | 4\n | ibivibiv/math_instruct | |
Calculate the highest common divisor of 12 and 15276.\n | 12\n | ibivibiv/math_instruct | |
Bob bought 2 show dogs for $250.00 each to breed as a side business. The female just had a litter of 6 puppies. If he sells each puppy for $350.00, what is his total profit? | Bob bought 2 show dogs for $250.00 each, so he spent 2 * $250.00 = $500.00 on the dogs.
The female dog just had a litter of 6 puppies, so Bob can sell each puppy for $350.00.
If he sells each puppy for $350.00, then he will make 6 * $350.00 = $2100.00 from the puppies.
His total profit is the amount he makes from selli... | ibivibiv/math_instruct | |
Calculate the highest common factor of 11800544 and 672.\n | 224\n | ibivibiv/math_instruct | |
Sort -22, -4, 233 in descending order.\n | 233, -4, -22\n | ibivibiv/math_instruct | |
Is 1588558799 prime?\n | False\n | ibivibiv/math_instruct | |
Let n(f) = -f**3 - 6*f**2 - f - 1. Let w be n(-6). Let c be -3*w*7/(-21). Solve 4 = c*z - 16 for z.\n | 4\n | ibivibiv/math_instruct | |
What is the closest to -3321 in -1, -2/7, -38.2, -2, -4, -3?\n | -38.2\n | ibivibiv/math_instruct | |
Factor -a**2/7 + 57*a/7 + 68620/7.\n | -(a - 292)*(a + 235)/7\n | ibivibiv/math_instruct |
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