instruction_seed stringlengths 5 2.9k | response_seed stringlengths 3 9.55k | input stringclasses 1
value | _source stringclasses 1
value |
|---|---|---|---|
Let v = 10115 - 10115.0190235. Let n = v + 0.019. Round n to 6 decimal places.\n | -0.000024\n | ibivibiv/math_instruct | |
Simplify 0 + (-2 + -6*(5*(1 + sqrt(200)) + 1*((sqrt(200) - (sqrt(200) - (-3 + sqrt(200)))) + sqrt(200))))**2.\n | 11760*sqrt(2) + 352996\n | ibivibiv/math_instruct | |
Let z(r) = -2*r**3 + r**2 + r. Let b(g) = 3*g**3 + 4*g**2 - 4*g + 2. Let n(m) = b(m) + 2*z(m). Suppose -5*k + 36 = k. Calculate n(k).\n | -10\n | ibivibiv/math_instruct | |
Collect the terms in 548 - 1639 + 539 + 552 - 227*a.\n | -227*a\n | ibivibiv/math_instruct | |
In base 6, what is 3 - -1212?\n | 1215\n | ibivibiv/math_instruct | |
Four letters picked without replacement from ccccjcyczczjjcj. Give prob of sequence cyjz.\n | 8/4095\n | ibivibiv/math_instruct | |
What is the value of (-213)/264*4 + 9/(-33)?\n | -7/2\n | ibivibiv/math_instruct | |
Suppose 0 = -w - w - 5*u + 31, 0 = -2*w + 4*u - 14. Let x be ((-8)/2 + w + 0)*-2. Solve -4*l + x = 6 for l.\n | -1\n | ibivibiv/math_instruct | |
Let o(w) = -68*w + 8. Let v(f) = 70*f - 9. What is -4*o(d) - 3*v(d)?\n | 62*d - 5\n | ibivibiv/math_instruct | |
A pet store owner had 12 birds, 9 puppies, 5 cats, and 15 spiders. Half the birds were sold and 3 puppies were adopted. Then, someone left the spider enclosure open and 7 of them went loose. How many animals does the pet store owner have left? | The pet store owner had 12 birds + 9 puppies + 5 cats + 15 spiders = 41 animals in total.
Half of the birds were sold, so the owner has 12/2 = 6 birds left.
3 puppies were adopted, so the owner has 9 - 3 = 6 puppies left.
7 spiders went loose, so the owner has 15 - 7 = 8 spiders left.
In total, the pet store owner has ... | ibivibiv/math_instruct | |
Solve 2*x**2/3 - 2326942*x/3 - 775648 = 0.\n | -1, 1163472\n | ibivibiv/math_instruct | |
Suppose -13*u = -8*u - 200. What is the greatest common divisor of 100 and u?\n | 20\n | ibivibiv/math_instruct | |
Rearrange (i + 3*i**3 - i)*(-260258*i - 2 + 273128*i + 0 + 2) to v + o*i**4 + d*i**2 + n*i + t*i**3 and give t.\n | 0\n | ibivibiv/math_instruct | |
Let l(d) = 110*d**2 - 11*d - 12. Give l(-1).\n | 109\n | ibivibiv/math_instruct | |
Let z(g) be the first derivative of -2*g**2 + 1 + 1/3*g**3 + 0*g. Let m(j) = -5*j - 49. Let l be m(-11). Calculate z(l).\n | 12\n | ibivibiv/math_instruct | |
How many minutes are there between 10:20 PM and 5:21 AM?\n | 421\n | ibivibiv/math_instruct | |
Suppose t + 3*t = -24. Let o(x) = x**2 + 6*x + 6. Let g be o(t). Suppose m + g = 2*m. What is the highest common factor of m and 2?\n | 2\n | ibivibiv/math_instruct | |
Let y be -9*(6 + -2)/(-4) - 4. Which is the third smallest value? (a) y (b) 2/3 (c) 0.01\n | a\n | ibivibiv/math_instruct | |
Let z = -26 - -28. Let b(a) = 69*a**2 - 30*a**z - 29*a**2. Let p(w) = -2*w. Give p(b(d)).\n | -20*d**2\n | ibivibiv/math_instruct | |
Let b be ((-28)/56)/((-2)/16). Suppose -b*y = -5*y + s + 42, 5*y - 216 = 2*s. Calculate the greatest common factor of 132 and y.\n | 44\n | ibivibiv/math_instruct | |
Let n = 156 - 157. Suppose 3*m = 3*r + 4*m - 32, -3*r + 5*m + 56 = 0. Let h be 8/r - (-28)/(-6). Are n and h unequal?\n | True\n | ibivibiv/math_instruct | |
6696.127269+-0.145\n | 6695.982269\n | ibivibiv/math_instruct | |
What is ((13/1794)/(-1))/(162 + -161)?\n | -1/138\n | ibivibiv/math_instruct | |
Let r = -1 + 21. Suppose 6*g - 16*g = -r. Solve -3*v + 20 = g*v for v.\n | 4\n | ibivibiv/math_instruct | |
Find the third derivative of 180739*j**2*n**3*y + 25*j**2*n**3 + j**2*n*y + 4066*j**2 - 34*j*n**2 - j*n - 2*n**2 + 2*n*y + 13 wrt n.\n | 1084434*j**2*y + 150*j**2\n | ibivibiv/math_instruct | |
What is 420 minutes before 12:20 PM?\n | 5:20 AM\n | ibivibiv/math_instruct | |
Sort -78, -11323/3, 2/7, 3/5.\n | -11323/3, -78, 2/7, 3/5\n | ibivibiv/math_instruct | |
Suppose 0 = -8*j + 11*j - 99. Suppose -28*b = -j*b + 20. Solve -8/9 + 4/9*v**3 - 8/9*v - 2/9*v**b + 2/3*v**2 = 0.\n | -1, 2\n | ibivibiv/math_instruct | |
Which is the third smallest value? (a) 5/3 (b) 5 (c) -4 (d) 1/2 (e) -3/2\n | d\n | ibivibiv/math_instruct | |
Let q(v) be the third derivative of -v**10/756000 - 7*v**5/60 - v**2. Let o(w) be the third derivative of q(w). Determine h so that o(h) = 0.\n | 0\n | ibivibiv/math_instruct | |
Suppose -6*r + 411 = -399. Let x be 3/(r/366) - 2/15. Solve v = -7 + x for v.\n | 1\n | ibivibiv/math_instruct | |
What is 6034 to the power of 1/10, to the nearest integer?\n | 2\n | ibivibiv/math_instruct | |
Let u(j) = j**3 + 12*j**2 + 24*j - 9. What is u(-11)?\n | -152\n | ibivibiv/math_instruct | |
Let u(k) = 13*k**2 + k. Let w be u(-1). Suppose b - 4*h = -h + w, 8 = 2*b - 2*h. Let i = -1 - 1. Put -4, b, i in descending order.\n | b, i, -4\n | ibivibiv/math_instruct | |
Let a(y) = -y**3 + 4*y**2 + 23*y - 12. Let o be a(7). Suppose f + 27*h - 46 = 32*h, -3*h = -o*f + 120. Calculate the remainder when 261 is divided by f.\n | 63\n | ibivibiv/math_instruct | |
Three letters picked without replacement from fliytflylhf. Give prob of picking 1 y, 1 f, and 1 t.\n | 2/55\n | ibivibiv/math_instruct | |
310113 (base 4) to base 15\n | ed6\n | ibivibiv/math_instruct | |
Which is the closest to -2/7? (a) 5 (b) 3967 (c) 2\n | c\n | ibivibiv/math_instruct | |
b"What is the jth term of -77, -152, -217, -266, -293, -292?\n" | j**3 - j**2 - 79*j + 2\n | ibivibiv/math_instruct | |
Express -21952*g**2 + 21952*g**2 - 2*g - 6 - 155*g**3 in the form b*g**2 + q + p*g + a*g**3 and give q.\n | -6\n | ibivibiv/math_instruct | |
Suppose 4 + 8 = o + 5*b, -o = -3*b + 4. Suppose -5*w + 28 = -o. Suppose -w*g + g - 12 = 4*m, -3*m + 14 = -2*g. Solve -1 = -m*l + l for l.\n | 1\n | ibivibiv/math_instruct | |
What are the prime factors of 141266?\n | 2, 23, 37, 83\n | ibivibiv/math_instruct | |
Rearrange -2 + 5*q**4 - 9*q**4 - 702*q**3 + 704*q**3 + 2*q - 4 to g*q**4 + l*q**2 + k + z*q + p*q**3 and give p.\n | 2\n | ibivibiv/math_instruct | |
Expand (21 + u - 21)*(0*u**2 + 0*u**2 - 2*u**2 + 1 - 1 + 2*u**2 + (-2*u - u + 2*u)*(u + 4*u - 6*u) + 3*u**2 + 2*u - 2*u).\n | 4*u**3\n | ibivibiv/math_instruct | |
Sort 257, 58, -19 in increasing order.\n | -19, 58, 257\n | ibivibiv/math_instruct | |
Suppose 9*w - 4*w - 10 = 0. Suppose -q = w, i - 4*i = 5*q + 1. Suppose 23 = i*z - 40. Is z a multiple of 7?\n | True\n | ibivibiv/math_instruct | |
Which is smaller: -8.56623 or -2?\n | -8.56623\n | ibivibiv/math_instruct | |
Express 7*f + 6*f - 4 - 14*f + 2*f**3 + f**2 + 0*f**2 as a*f**2 + d + s*f**3 + g*f and give a.\n | 1\n | ibivibiv/math_instruct | |
What is the fourth smallest value in -2, -3, -7, 4, -0.11?\n | -0.11\n | ibivibiv/math_instruct | |
Calculate -36 - (-15 - -20) - (-23 - -12).\n | -30\n | ibivibiv/math_instruct | |
Suppose -5*m + 2*d + 6 = -4, 0 = -4*m - 2*d + 26. Which is the closest to 0.01? (a) 3 (b) -0.1 (c) m\n | b\n | ibivibiv/math_instruct | |
Write an educational piece suited for college students related to the following text snippet:
"# Disproving the existence of a specific infinite sequence of Fibonacci primes
Consider the following sequence:
$$T_{1} = a,\: T_{i+1} = F_{T_{i}}$$
where $a \in \mathbb{P}$ and $F_i$ is the $i$-th Fibonacci number.
Is th... | Let us begin by clarifying the sequence defined in the problem statement. We are given a sequence $(T\_n)$ where the first term $T\_1$ can be any prime number $a$, and subsequent terms are generated using the rule:
$$T\_{i+1} = F\_{T\_i},$$
with $F\_k$ representing the $k^{th}$ Fibonacci number. Thus, starting from ... | ibivibiv/math_instruct | |
-11072.455 times -3\n | 33217.365\n | ibivibiv/math_instruct | |
Let n = 0.0739 - -1.0261. Which is bigger: n or -9?\n | n\n | ibivibiv/math_instruct | |
Solve t = -5*u + 30, -4*u + 2*t + 259 = 249 for u.\n | 5\n | ibivibiv/math_instruct | |
Is 5035174155 a multiple of 261?\n | True\n | ibivibiv/math_instruct | |
Which is the fourth biggest value? (a) -5 (b) -3.9 (c) -1 (d) -0.01 (e) -53/5\n | a\n | ibivibiv/math_instruct | |
What is the units digit of 753471?\n | 1\n | ibivibiv/math_instruct | |
Let r(c) = -3*c + 1. Suppose 145 + 86 = 7*g. Let s(d) = -2*d + 57. Let t be s(g). Determine r(t).\n | 28\n | ibivibiv/math_instruct | |
Calculate the greatest common divisor of 1664 and 45396.\n | 52\n | ibivibiv/math_instruct | |
What are the prime factors of 1325?\n | 5, 53\n | ibivibiv/math_instruct | |
Simplify (sqrt(96)/sqrt(2) - sqrt(750)/sqrt(10))**2 - (5 + sqrt(108) + (sqrt(108) + 0)**2).\n | -110 - 6*sqrt(3)\n | ibivibiv/math_instruct | |
Calculate the greatest common divisor of 2390379 and 93.\n | 93\n | ibivibiv/math_instruct | |
Let i = -17845 - -40343. What is the thousands digit of i?\n | 2\n | ibivibiv/math_instruct | |
(-4 - -3) + -16 + (6 - (-18 - -27))\n | -20\n | ibivibiv/math_instruct | |
Let v = -32 + 34. What is the smallest value in -1/5, -0.3, v, -0.5?\n | -0.5\n | ibivibiv/math_instruct | |
What is the common denominator of (-147)/15*35/(-42) and 25/117?\n | 234\n | ibivibiv/math_instruct | |
What is 7 + 5 + -1 + 24?\n | 35\n | ibivibiv/math_instruct | |
Work out 0.2 * -0.1354864.\n | -0.02709728\n | ibivibiv/math_instruct | |
Let k(t) = -18*t - 95. What is the units digit of k(-9)?\n | 7\n | ibivibiv/math_instruct | |
Suppose -13*b = -r - 9*b + 286, 3*r - 2*b = 828. Calculate the remainder when r is divided by 37.\n | 15\n | ibivibiv/math_instruct | |
List the prime factors of 967602.\n | 2, 3, 161267\n | ibivibiv/math_instruct | |
Let l(m) = -6*m**2 + 352*m + 185522. Determine l(-149).\n | -132\n | ibivibiv/math_instruct | |
Let f = 0.133 + 0.637. Let c = f + 2.28. Round c to zero decimal places.\n | 3\n | ibivibiv/math_instruct | |
What is the derivative of -204296394*w**2 + 2334996 wrt w?\n | -408592788*w\n | ibivibiv/math_instruct | |
Suppose 3*m - 7*j + 3*j = -20, 0 = m - 3*j + 10. Let i = -4 - m. Sort i, 5, -1 in descending order.\n | 5, i, -1\n | ibivibiv/math_instruct | |
Rearrange -9176*g**2 + 9176*g**2 + 70*g**3 + (-5 + 2 + 0)*(2*g**3 + g**3 - 6*g**3) + 2*g**3 - 4*g + 4*g to the form p + h*g**3 + y*g + n*g**2 and give h.\n | 81\n | ibivibiv/math_instruct | |
What is the result of the following expression?
-42.9416 * (91.4685 % 7.7907) | -247.8074 | ibivibiv/math_instruct | |
Solve -187*j - 35 = -180*j for j.\n | -5\n | ibivibiv/math_instruct | |
Let u = -7 - -17. Let z(g) = g**3 - 9*g**2 - 11*g + 14. Let n be z(u). Suppose n*h - 389 = 431. Is h composite?\n | True\n | ibivibiv/math_instruct | |
Let z = -286.4 - -286. Is 38 smaller than z?\n | False\n | ibivibiv/math_instruct | |
Solve 8 - 1 = 2*l - 9 for l.\n | 8\n | ibivibiv/math_instruct | |
Solve 12*a = 3*o - 8*o + 9*a - 11, 5*o - 1 = 3*a for o.\n | -1\n | ibivibiv/math_instruct | |
Let u = -1 + 0. Let s(b) = b + 2*b - 2*b. Let c be s(u). Which is greater: -1/2 or c?\n | -1/2\n | ibivibiv/math_instruct | |
Do 437/25 and -0.046 have the same value?\n | False\n | ibivibiv/math_instruct | |
What is (-11)/(231/6) - (-44)/(-42)?\n | -4/3\n | ibivibiv/math_instruct | |
Calculate the remainder when 6327 is divided by 235.\n | 217\n | ibivibiv/math_instruct | |
Expand (4*f**2 - f**2 - f**2)*(-3*f**3 + 3*f**3 - f**3).\n | -2*f**5\n | ibivibiv/math_instruct | |
What is the next term in -34, -102, -204, -334, -486, -654?\n | -832\n | ibivibiv/math_instruct | |
Sort -0.5, -557, -4/5, 3.\n | -557, -4/5, -0.5, 3\n | ibivibiv/math_instruct | |
Let u = 3561 - 17801/5. Determine k, given that 2/5*k**3 + 4/5*k**2 - u - 2/5*k = 0.\n | -2, -1, 1\n | ibivibiv/math_instruct | |
Let v(x) be the second derivative of x + 0*x**2 + 0 + 11/6*x**3 - 1/12*x**4. Let s be v(9). What is the greatest common divisor of 162 and s?\n | 18\n | ibivibiv/math_instruct | |
What is 707.7119 microseconds in seconds?\n | 0.0007077119\n | ibivibiv/math_instruct | |
List the prime factors of 14832652.\n | 2, 41, 149, 607\n | ibivibiv/math_instruct | |
Which is the third smallest value? (a) 0.39 (b) 3/5 (c) -1\n | b\n | ibivibiv/math_instruct | |
Simplify (((b/(b**1*b*b))/b)**(-25))**(-3/13)/(((b**(-10)*b)/b)/b*b**(-3/8))**(1/4) assuming b is positive.\n | b**(-6017/416)\n | ibivibiv/math_instruct | |
Calculate the greatest common factor of 78 and 364832.\n | 26\n | ibivibiv/math_instruct | |
Let j = -17 - -24. Let d be (-8)/(-6) - 2 - (-2)/(-6). Sort -3, -5, d, j in increasing order.\n | -5, -3, d, j\n | ibivibiv/math_instruct | |
Calculate the remainder when 559 is divided by 16.\n | 15\n | ibivibiv/math_instruct | |
How many minutes are there between 1:46 PM and 12:03 AM?\n | 617\n | ibivibiv/math_instruct |
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