instruction_seed stringlengths 5 2.9k | response_seed stringlengths 3 9.55k | input stringclasses 1
value | _source stringclasses 1
value |
|---|---|---|---|
Let b(f) = 2*f**2 - 2*f - 13. Let s be b(-6). Suppose 85 - s = 2*x. Suppose 4*t = -4*m + 16, 4*m = x*m - 12. Let h(d) = d**2 - d + 21. Calculate h(t).\n | 21\n | ibivibiv/math_instruct | |
Let a(v) = v - 10. Let n be a(10). Suppose n = -3*p - p. Is -1/2 > p?\n | False\n | ibivibiv/math_instruct | |
Solve 12 = 4*y, -6 - 8 = d - 4*y for d.\n | -2\n | ibivibiv/math_instruct | |
Suppose -11 = k - 3*o, 0*o - 22 = 2*k - o. Let m = 0.13 + -1.13. Let f be (32/40)/(63/15 - -1). Which is the second smallest value? (a) k (b) f (c) m\n | c\n | ibivibiv/math_instruct | |
Let m(t) be the second derivative of 9*t**5/10 - 5*t**4/12 - 14*t**3 + 3*t**2/2 - 309*t. Find the second derivative of m(o) wrt o.\n | 108*o - 10\n | ibivibiv/math_instruct | |
Which is bigger: 9412 or 7530?\n | 9412\n | ibivibiv/math_instruct | |
Let r(i) = 4*i**3 - 2*i**2 + 1. Let v be r(1). Let t = -3 + v. Suppose 2*z - 3*w + 2 + 2 = t, 4*z = 2*w + 8. Sort 1, 3, z in descending order.\n | z, 3, 1\n | ibivibiv/math_instruct | |
What comes next: 34, -160, -474, -902, -1438, -2076, -2810?\n | -3634\n | ibivibiv/math_instruct | |
What is -16 times 5403?\n | -86448\n | ibivibiv/math_instruct | |
Let k(d) = d**3 - 2*d**2 - 2*d - 1. Let f be k(3). Let g be (-1)/f*(1 + -3). Let j be g*(0 - 1)*-4. Solve -6*v = -2*v - 4, -1 = j*i + 3*v for i.\n | -1\n | ibivibiv/math_instruct | |
What is (3201/(-3298)*-34)/39?\n | 11/13\n | ibivibiv/math_instruct | |
What is the least common multiple of 4741 and 129646?\n | 55877426\n | ibivibiv/math_instruct | |
Which is the second biggest value? (a) 4/3 (b) 678 (c) -45 (d) 33 (e) -5 (f) 0.4\n | d\n | ibivibiv/math_instruct | |
Let t be 76/16*8/2. Let l(p) = -5 - 31*p + 12*p**2 + t*p - 3*p**2 + p**3. Let a be l(-10). Solve 5*b = -0*b + a for b.\n | 3\n | ibivibiv/math_instruct | |
Suppose -147*p + 85659 - 22816 = 172*p. Calculate the remainder when 424 is divided by p.\n | 30\n | ibivibiv/math_instruct | |
Let f(w) = -w**3 + 8*w**2 - 2*w - 9. Let o be f(7). Suppose n + 10 = -4*u, 0*n + 5*n - o = -u. Solve 3*k - k + n = 0 for k.\n | -3\n | ibivibiv/math_instruct | |
Which is the nearest to -13/4? (a) 1 (b) 0.04 (c) -0.08 (d) 3/4 (e) 2.3\n | c\n | ibivibiv/math_instruct | |
Suppose -151 - 101 = -6*s. What is the remainder when s is divided by 9?\n | 6\n | ibivibiv/math_instruct | |
Let -7*w**4/11 - 3688*w**3/11 + 108055*w**2/11 - 709184*w/11 + 674880/11 = 0. Calculate w.\n | -555, 8/7, 8, 19\n | ibivibiv/math_instruct | |
Does 27 divide 37874143?\n | False\n | ibivibiv/math_instruct | |
What is eleven quarters of a gram in milligrams?\n | 2750\n | ibivibiv/math_instruct | |
Suppose 15 - 9 = 2*o. Solve o = -4*w - 5 for w.\n | -2\n | ibivibiv/math_instruct | |
What is (-7)/(15/9*252/35)*3?\n | -7/4\n | ibivibiv/math_instruct | |
Is -26787484/3 >= -8929160?\n | False\n | ibivibiv/math_instruct | |
Factor 0 + 6/13*q**2 + 2/13*q**4 - 8/13*q**3 + 0*q.\n | 2*q**2*(q - 3)*(q - 1)/13\n | ibivibiv/math_instruct | |
Is 9311 a composite number?\n | False\n | ibivibiv/math_instruct | |
Let k(o) = 6*o + 160. Determine k(-38).\n | -68\n | ibivibiv/math_instruct | |
Solve 6*x = w + 2*w + 159, 0 = -3*w - 542*x + 546*x - 101 for w.\n | 5\n | ibivibiv/math_instruct | |
Let w be -5*(-5)/25 - (1 + (-18 - -1)). Solve 3 + 82 = w*r for r.\n | 5\n | ibivibiv/math_instruct | |
Let t be -1 + 0 - -3*102110/30. Round t to the nearest one thousand.\n | 10000\n | ibivibiv/math_instruct | |
Let h = -46 + 54. Let l be -1 + 67 + 4 + -1. Suppose -3*i + a + l = 2*a, -2*a = i - 18. What is the highest common divisor of h and i?\n | 8\n | ibivibiv/math_instruct | |
Calculate (-861)/6*-9*(-160)/5040.\n | -41\n | ibivibiv/math_instruct | |
Suppose 4*n + 8948 = 3*o, -11916 = -12*o + 8*o - 2*n. What is the highest common factor of o and 20?\n | 20\n | ibivibiv/math_instruct | |
What is 251900 to the power of 1/3, to the nearest integer?\n | 63\n | ibivibiv/math_instruct | |
Suppose 2970 = 30*s + 24*s. What is the remainder when 155 is divided by s?\n | 45\n | ibivibiv/math_instruct | |
Calculate the remainder when -3*(-52)/(-10)*(-30)/9 is divided by 11.\n | 8\n | ibivibiv/math_instruct | |
Let u = -1849267 + 1849265.4197872. Let i = -1.58 - u. Round i to five dps.\n | 0.00021\n | ibivibiv/math_instruct | |
Solve -99 = 4*q + 2*k - 51, 36*k - 40*k = -3*q + 118 for q.\n | 2\n | ibivibiv/math_instruct | |
Let k(j) = -170*j**3 - 9*j**2 - 9*j + 1. Let s be k(-1). Suppose 422000 = -176*q + s*q. What is q rounded to the nearest one thousand?\n | -84000\n | ibivibiv/math_instruct | |
In base 5, what is 1 + 404420?\n | 404421\n | ibivibiv/math_instruct | |
What is the thousands digit of 4909?\n | 4\n | ibivibiv/math_instruct | |
Collect the terms in -5*b**2 + 7*b**2 + 2*b - 2*b.\n | 2*b**2\n | ibivibiv/math_instruct | |
Let o(q) = q**2 - 19*q + 34. Let y be o(17). Let d(w) be the first derivative of -4/3*w**3 - 1/2*w**2 + y*w + 1. What is the second derivative of d(u) wrt u?\n | -8\n | ibivibiv/math_instruct | |
In base 9, what is 5 - 54303?\n | -54287\n | ibivibiv/math_instruct | |
Does 24 divide 333?\n | False\n | ibivibiv/math_instruct | |
How many millilitres are there in 3/50 of a litre?\n | 60\n | ibivibiv/math_instruct | |
-75887 divided by 75887\n | -1\n | ibivibiv/math_instruct | |
Suppose 0 = -16*r - 13*r. Solve r = -5*k + 1008 - 983 for k.\n | 5\n | ibivibiv/math_instruct | |
Let j(s) = s**2 + 8*s + 3. Let v be j(-2). Let l be -2 + (-24)/(-14) - v/7. Let h(y) = y + 1. Let i be h(1). Solve 1 = -i*r - l for r.\n | -1\n | ibivibiv/math_instruct | |
Is 959544059 prime?\n | False\n | ibivibiv/math_instruct | |
Let i(c) = -8*c - 76. Let g be i(-7). Let s be 1/(-4) - (605/g + -4). What is the highest common factor of 17 and s?\n | 17\n | ibivibiv/math_instruct | |
What is the biggest value in -2/13, 103, -5, 0.1, -60, -2/9?\n | 103\n | ibivibiv/math_instruct | |
Let j(q) = -17*q - 13. Let r be j(-1). Solve -r*k = -8*k for k.\n | 0\n | ibivibiv/math_instruct | |
Solve 16*u - 15*u - 6 = -4*x, 3*u - 4 = 2*x for x.\n | 1\n | ibivibiv/math_instruct | |
What are the prime factors of 516033?\n | 3, 7, 8191\n | ibivibiv/math_instruct | |
Suppose -2*q + 4*q - 50 = 2*h, 3*q = 4*h + 78. Suppose 5*i - q + 104 = 3*n, -4*i + 3*n = 68. Let l = -15639 + 15625. Is i at least l?\n | True\n | ibivibiv/math_instruct | |
((8/(-12))/((-42)/(-9)))/1\n | -1/7\n | ibivibiv/math_instruct | |
Let y be 18/(-33) - (-1037)/187. Let p(j) be the first derivative of -y - j**3 + 3/28*j**4 - 27/7*j + 45/14*j**2. Suppose p(f) = 0. Calculate f.\n | 1, 3\n | ibivibiv/math_instruct | |
Suppose -5*i**4 - 1325*i**3 - 72405*i**2 + 2092805*i - 3885310 = 0. Calculate i.\n | -143, 2, 19\n | ibivibiv/math_instruct | |
Let y(f) = -7*f**2 - 2*f - 1. Suppose 3*t = 2*t. Let d be 5 + 1/((-3)/9). Suppose j + j + d = t. Determine y(j).\n | -6\n | ibivibiv/math_instruct | |
Suppose 193*h - 189*h = 16. Solve 5*u = h*t, 2*t = -t - 15 for u.\n | -4\n | ibivibiv/math_instruct | |
Simplify ((sqrt(440)/(sqrt(10)*-3))/sqrt(4))**2 + (sqrt(99) + sqrt(99) + (sqrt(99) - -1*sqrt(99))*-1 + sqrt(99) - sqrt(99))/sqrt(9) + 5.\n | 56/9\n | ibivibiv/math_instruct | |
In base 4, what is -122 + -1320131?\n | -1320313\n | ibivibiv/math_instruct | |
Write an educational piece suited for college students related to the following text snippet:
"# How is pre-computation handled by complexity notation?
Suppose I have an algorithm that runs in $O(n)$ for every input of size $n$, but only after a pre-computation step of $O(n^2)$ for that given size $n.$ Is the algorith... | Complexity theory is a branch of computer science that deals with the quantification of resources (such as time and space) used by algorithms and computational systems. Big O notation is commonly used in complexity theory to describe the upper bound of growth rate of an algorithm's resource usage as the input size inc... | ibivibiv/math_instruct | |
Suppose -16 - 160 = -4*j. Suppose 22 = -22*s - j. Which is the nearest to -19? (a) -2/3 (b) -0.5 (c) 5 (d) s\n | d\n | ibivibiv/math_instruct | |
Let z(q) be the second derivative of -q**5/210 - q**4/63 - 98*q. Factor z(v).\n | -2*v**2*(v + 2)/21\n | ibivibiv/math_instruct | |
Let b(p) = p**2 - 5*p - 22. List the prime factors of b(8).\n | 2\n | ibivibiv/math_instruct | |
Simplify (v**12*v*v*v**(2/31)*v)/(v**8)**(3/32) assuming v is positive.\n | v**(1775/124)\n | ibivibiv/math_instruct | |
Solve 3*r + 270 = -4*r + 601 + 257 for r.\n | 84\n | ibivibiv/math_instruct | |
Let k = -3.13 + 3.33. Let j = -2 - -2. Let g = k - j. Put 4, -2/15, g in decreasing order.\n | 4, g, -2/15\n | ibivibiv/math_instruct | |
Is 493853 a composite number?\n | False\n | ibivibiv/math_instruct | |
Collect the terms in 80 - 40*o - 252 - 5*o**3 + 82 + 85.\n | -5*o**3 - 40*o - 5\n | ibivibiv/math_instruct | |
Let u be 15*(-30)/(-675)*21/14. Let a(l) be the second derivative of -l - l**3 + 0 - 1/2*l**2. What is a(u)?\n | -7\n | ibivibiv/math_instruct | |
Divide 890 by -91.\n | -890/91\n | ibivibiv/math_instruct | |
Evaluate -14 - -7 - (-7 - -1).\n | -1\n | ibivibiv/math_instruct | |
Let s = -1332/5 + 17331/65. Which is smaller: 6 or s?\n | s\n | ibivibiv/math_instruct | |
What is -aa70 (base 14) in base 2?\n | -111001100111010\n | ibivibiv/math_instruct | |
Round -0.014211 to three decimal places.\n | -0.014\n | ibivibiv/math_instruct | |
Let q = 60 - -152. Let i = -494 - -1172. Let k = i + q. Round k to the nearest one hundred.\n | 900\n | ibivibiv/math_instruct | |
Let u = 2.25 + -2.31. What is the closest to 1 in u, -0.7, 2?\n | 2\n | ibivibiv/math_instruct | |
Is 8657 prime?\n | False\n | ibivibiv/math_instruct | |
Let n = -262.5993401 + 262.6. What is n rounded to 4 decimal places?\n | 0.0007\n | ibivibiv/math_instruct | |
What is the highest common factor of 692 and 44807?\n | 173\n | ibivibiv/math_instruct | |
Expand 862 - 862 - 182*x**2 + (0*x - 4*x + 3*x)*(3*x - 3*x + 2*x).\n | -184*x**2\n | ibivibiv/math_instruct | |
What is the cube root of 1099573162 to the nearest integer?\n | 1032\n | ibivibiv/math_instruct | |
b"What is the jth term of -19, -10, 13, 56, 125?\n" | j**3 + j**2 - j - 20\n | ibivibiv/math_instruct | |
What is 1103 to the power of 1/6, to the nearest integer?\n | 3\n | ibivibiv/math_instruct | |
Product of -933.2 and -1.\n | 933.2\n | ibivibiv/math_instruct | |
Suppose -2*p = -5*p + 15, 0 = 2*k - 3*p + 5. Suppose j = -3*n + 156, -2*n = 2*j - k*n - 303. What are the prime factors of j?\n | 3, 17\n | ibivibiv/math_instruct | |
List the prime factors of 6230.\n | 2, 5, 7, 89\n | ibivibiv/math_instruct | |
Divide -12380 by 2.\n | -6190\n | ibivibiv/math_instruct | |
Round 0.0001084826 to five decimal places.\n | 0.00011\n | ibivibiv/math_instruct | |
Let n be 16/(-4)*(-45)/12. Let l(u) = -2*u**2 + 36*u + 12. Let d be l(n). Suppose -333 = -2*t - 3*a, 4*t + 5*a - 565 = d. What are the prime factors of t?\n | 2, 3, 7\n | ibivibiv/math_instruct | |
Let x be 10 + -12 - 1/(-1). Is x/((-3521)/1757 - (0 - 2)) a composite number?\n | False\n | ibivibiv/math_instruct | |
Simplify (x**4*x)**(7/3)/(x**(-1/2))**(-18) assuming x is positive.\n | x**(8/3)\n | ibivibiv/math_instruct | |
Let r be 3*(-10)/(-6) + 0. Suppose -2*c + 2*y - 2 = 0, -y - 10 = 2*c - r*y. Suppose 53*w = 187 - 28. What is the remainder when c is divided by w?\n | 0\n | ibivibiv/math_instruct | |
Simplify ((sqrt(209) + 1*sqrt(209)*-2)/(sqrt(11) + (sqrt(11) - sqrt(22)/sqrt(2)*-6)))**2.\n | 19/64\n | ibivibiv/math_instruct | |
-2 + 1 - (2 + 0)\n | -3\n | ibivibiv/math_instruct | |
Solve -y**5/5 + 82*y**4/5 - 238*y**3/5 + 76*y**2/5 + 239*y/5 - 158/5 = 0.\n | -1, 1, 2, 79\n | ibivibiv/math_instruct | |
(((-1800)/(-40))/630*6)/(156/7)\n | 1/52\n | ibivibiv/math_instruct |
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