instruction_seed stringlengths 5 2.9k | response_seed stringlengths 3 9.55k | input stringclasses 1
value | _source stringclasses 1
value |
|---|---|---|---|
Is 146161 composite?\n | False\n | ibivibiv/math_instruct | |
What is 5510 (base 7) in base 5?\n | 30332\n | ibivibiv/math_instruct | |
Evaluate (-5 - 11) + (-2 - ((-5 - -6) + -7)).\n | -12\n | ibivibiv/math_instruct | |
Let a(k) be the third derivative of -k**8/48 + 7*k**4/24 - k**2. Find the second derivative of a(o) wrt o.\n | -140*o**3\n | ibivibiv/math_instruct | |
Let t = 2017/24 + 8621/72. Which is smaller: t or 203?\n | 203\n | ibivibiv/math_instruct | |
Let q(r) = -r**3 + 3*r**2 + 4*r + 5. Let w be q(4). Let y(a) be the first derivative of -a**3/3 + 3*a**2/2 + 6*a + 22. What is y(w)?\n | -4\n | ibivibiv/math_instruct | |
Let x be (-69 - (-30848)/448)*0. Suppose 2 + 1 = s. Suppose 40 = -p + s*p. Sort 1, x, p.\n | x, 1, p\n | ibivibiv/math_instruct | |
Calculate the greatest common factor of 200 and 425.\n | 25\n | ibivibiv/math_instruct | |
Express 68421*u**4 + u**2 + 7904*u**3 + 0*u + 0*u - 68423*u**4 as y + v*u**2 + d*u**3 + i*u**4 + j*u and give v.\n | 1\n | ibivibiv/math_instruct | |
Let l = -33 - -58. Let d = l + 8. Let i be 11/d*3*1. What is the highest common factor of i and 1?\n | 1\n | ibivibiv/math_instruct | |
Sort 2.66, -1.07, 3, -4 in decreasing order.\n | 3, 2.66, -1.07, -4\n | ibivibiv/math_instruct | |
What are the prime factors of 3381?\n | 3, 7, 23\n | ibivibiv/math_instruct | |
Let g = -95 + 94.999943. What is g rounded to 5 decimal places?\n | -0.00006\n | ibivibiv/math_instruct | |
Let t = -127 - -199. Is t a multiple of 24?\n | True\n | ibivibiv/math_instruct | |
What is 9372330 to the power of 1/2, to the nearest integer?\n | 3061\n | ibivibiv/math_instruct | |
Let p = 177 - 120. Is p a composite number?\n | True\n | ibivibiv/math_instruct | |
Calculate (4 - 13) + 37 + -1 + 1 - 8.\n | 20\n | ibivibiv/math_instruct | |
What is next in 6901291, 13802561, 20703831, 27605101?\n | 34506371\n | ibivibiv/math_instruct | |
Expand (-2 - 1 - r**2 + 4)*(-82*r + 12310 - 12310)*(-r + 3*r + r) + 3 - 3 - r**4 + (2*r**4 - 3*r**4 - 3*r**4)*(-8 + 5 + 1).\n | 253*r**4 - 246*r**2\n | ibivibiv/math_instruct | |
What is the least common multiple of -3 - -1*(-360)/(-16)*46/3 and 456?\n | 1368\n | ibivibiv/math_instruct | |
Let i(h) = h**3 - 10*h**2 + 19*h - 27. Suppose -5*y + 31 = -9. Let j be i(y). Suppose 6 = 3*c - 18. Sort j, c, -5 in ascending order.\n | -5, j, c\n | ibivibiv/math_instruct | |
Let r = 40 + 84. Let q = 353 - r. List the prime factors of q.\n | 229\n | ibivibiv/math_instruct | |
Expand (-13*f + 5*f - 2*f)*(-31*f - 25*f - 41*f).\n | 970*f**2\n | ibivibiv/math_instruct | |
Let q = 347 + -206. Suppose -5*i - c = -0*c - q, -i + 33 = 5*c. Let p = i - 12. What is the highest common factor of 4 and p?\n | 4\n | ibivibiv/math_instruct | |
Solve 6 = t + 2*t, 5*g - 4*t = -8 for g.\n | 0\n | ibivibiv/math_instruct | |
Let d(o) = 8*o + o**2 + o**3 - 6*o**2 - 2*o**2 - o**2 - 8. Let w be d(7). Let k be 0 + (w - (-4)/2). Is 1/2 > k?\n | False\n | ibivibiv/math_instruct | |
What is the result of the following expression?
-72.4259 + -68.2249 | -140.6508 | ibivibiv/math_instruct | |
Let a(q) = -2*q**3 + 11*q**2 + 4*q - 79. What is a(5)?\n | -34\n | ibivibiv/math_instruct | |
Is 6153011 a composite number?\n | True\n | ibivibiv/math_instruct | |
Let o = 24260 - 10286. What is the greatest common divisor of o and 102?\n | 102\n | ibivibiv/math_instruct | |
Four letters picked without replacement from lwjkhwkp. Give prob of sequence hwjp.\n | 1/840\n | ibivibiv/math_instruct | |
Solve 0 = 3*q + 2*i + 17, q - 4*i = -i - 2 for q.\n | -5\n | ibivibiv/math_instruct | |
How many minutes are there between 10:21 PM and 2:24 AM?\n | 243\n | ibivibiv/math_instruct | |
Let i = -16.9 + -81.1. Let d = i - -97.854. What is d rounded to 2 decimal places?\n | -0.15\n | ibivibiv/math_instruct | |
What is the value of (-16)/128 + 0*(56/20 - 3)?\n | -1/8\n | ibivibiv/math_instruct | |
Simplify (((k**13*k**(-12))**24)**(-8/11))**(5/7) assuming k is positive.\n | k**(-960/77)\n | ibivibiv/math_instruct | |
Suppose 33*r = 9344 + 67216. Calculate the greatest common divisor of r and 16.\n | 16\n | ibivibiv/math_instruct | |
What is 31/2 of a millimeter in micrometers?\n | 15500\n | ibivibiv/math_instruct | |
Let w(p) = 46*p + 1. Suppose 0 = 4*x - 4*l, -4*x + 2*l - 3 = -5. Let u be w(x). Suppose -22 = -h - 5*g, 5*g + 63 + u = 5*h. What are the prime factors of h?\n | 2, 11\n | ibivibiv/math_instruct | |
Collect the terms in -627 + 311 + 316 - 2*q**2.\n | -2*q**2\n | ibivibiv/math_instruct | |
Solve 2*v - 15 + 5 = 0, -3*o - 2 = 2*v for o.\n | -4\n | ibivibiv/math_instruct | |
Is 494385191 a prime number?\n | True\n | ibivibiv/math_instruct | |
Let q = 49.6 + -45. Let f = 4.578 - q. Let x = -0.178 + f. Which is the biggest value? (a) x (b) 10 (c) 0.3 (d) -0.4\n | b\n | ibivibiv/math_instruct | |
Solve -10*r + 20 - 27 = -27 for r.\n | 2\n | ibivibiv/math_instruct | |
In base 5, what is -4 - -2024010?\n | 2024001\n | ibivibiv/math_instruct | |
What is 172 minutes after 11:50 AM?\n | 2:42 PM\n | ibivibiv/math_instruct | |
Suppose 11*q + 4680 = -19*q. Let w = q + 194. List the prime factors of w.\n | 2, 19\n | ibivibiv/math_instruct | |
Let p(l) = -l**2 - 8*l + 7. Let t(j) = 13*j - 7*j + 1 - 2*j - 5*j. Let v = -38 - -17. Let o(u) = v*t(u) + 3*p(u). Solve o(b) = 0.\n | -1, 0\n | ibivibiv/math_instruct | |
How many minutes are there between 10:34 PM and 7:58 AM?\n | 564\n | ibivibiv/math_instruct | |
Solve -2*k + 7 = q, -2*k - 4*q - 61 + 65 = -6*q for k.\n | 3\n | ibivibiv/math_instruct | |
Collect the terms in -10*f + 25 + 8*f - f - 2*f + 4*f.\n | -f + 25\n | ibivibiv/math_instruct | |
Let n = -173 - -123. Let p = 17 - n. Is p a composite number?\n | False\n | ibivibiv/math_instruct | |
What is the square root of 21526 to the nearest integer?\n | 147\n | ibivibiv/math_instruct | |
Let r(a) be the second derivative of a**4/6 + 5*a. Let p(i) = i**3 - 4*i**2 - 5*i + 4. Let k be p(5). Let z(x) = 4*x**2 - k*x**2 - 2*x**2. Calculate r(z(d)).\n | 8*d**4\n | ibivibiv/math_instruct | |
In base 6, what is 12312 + -201?\n | 12111\n | ibivibiv/math_instruct | |
Rearrange 3618*t**2 - 3618*t**2 + 2*t**3 - 48*t + (2 - 1 - 2)*(36*t - t**3 - 36*t) to p*t + m*t**2 + n + k*t**3 and give m.\n | 0\n | ibivibiv/math_instruct | |
Collect the terms in -14*y + 2*y - 394 + 201 + 193 - 2*y**2.\n | -2*y**2 - 12*y\n | ibivibiv/math_instruct | |
Simplify (sqrt(66)/sqrt(96) + sqrt(121)/(sqrt(11)*2) + 3 + sqrt(396)*2 + 2*-2*sqrt(396))**2.\n | -135*sqrt(11)/2 + 22419/16\n | ibivibiv/math_instruct | |
-20 + 19*31/(-21204)*-730\n | 5/18\n | ibivibiv/math_instruct | |
What is the value of 2114/(-3020)*7/(-49)?\n | 1/10\n | ibivibiv/math_instruct | |
Is 363 at most as big as -3?\n | False\n | ibivibiv/math_instruct | |
Round -89112000 to the nearest one million.\n | -89000000\n | ibivibiv/math_instruct | |
Which is the second smallest value? (a) 0.04 (b) 4 (c) -571\n | a\n | ibivibiv/math_instruct | |
Let w(r) = -111*r. Let x(u) be the first derivative of 23*u**2 + 3500. Determine x(w(v)).\n | -5106*v\n | ibivibiv/math_instruct | |
Suppose -5*t - 87 - 63 = 0. Let m = 33 + t. Suppose 2*o = -2*u - 2*u, -4*u + m*o = -10. Solve 0 = 4*q - u + 5 for q.\n | -1\n | ibivibiv/math_instruct | |
How many kilograms are there in 986.263ng?\n | 0.000000000986263\n | ibivibiv/math_instruct | |
What is the nearest to -1 in 0.2, -2/5, 11/798?\n | -2/5\n | ibivibiv/math_instruct | |
Let w(a) = a**3 - 8*a**2 + 8. Let y be w(8). Suppose -y + 38 = s. What are the prime factors of s?\n | 2, 3, 5\n | ibivibiv/math_instruct | |
What is the nearest to 0 in 2/9, 7, -3/10, 2?\n | 2/9\n | ibivibiv/math_instruct | |
Is 1122595403 composite?\n | False\n | ibivibiv/math_instruct | |
What is the common denominator of 157/966 and -131/140562?\n | 22630482\n | ibivibiv/math_instruct | |
Suppose -v**4/8 + 17*v**3/8 - 45*v**2/4 + 27*v/2 + 27 = 0. What is v?\n | -1, 6\n | ibivibiv/math_instruct | |
Which is bigger: 57406405/52 or 1103970?\n | 1103970\n | ibivibiv/math_instruct | |
Calculate the remainder when 2178606 is divided by 81.\n | 30\n | ibivibiv/math_instruct | |
Calculate the common denominator of 137/1320 and -73/564.\n | 62040\n | ibivibiv/math_instruct | |
Sort -0.095, -15, -0.05 in decreasing order.\n | -0.05, -0.095, -15\n | ibivibiv/math_instruct | |
What is the value of -1*((-350)/(-1000))/(35/20)?\n | -1/5\n | ibivibiv/math_instruct | |
Let n(g) be the first derivative of -g**2/2 - 7*g - 2. Let s be n(-5). Let y = s - -1. Which is bigger: y or -2/11?\n | -2/11\n | ibivibiv/math_instruct | |
Solve -4*z = 16, 58110*x - 16 = 58111*x + 5*z for x.\n | 4\n | ibivibiv/math_instruct | |
What is the highest common factor of 10784 and 1225332?\n | 1348\n | ibivibiv/math_instruct | |
Solve 1642166*n = 1642625*n + 29376 for n.\n | -64\n | ibivibiv/math_instruct | |
Rearrange (-3*p**2 + 2*p**2 + 2*p**2)*(-6*p - 9 + 9) + 4*p**3 - p**3 + 2*p - 3*p to the form x + i*p**2 + w*p**3 + a*p and give x.\n | 0\n | ibivibiv/math_instruct | |
Round 221921.914 to the nearest 1000.\n | 222000\n | ibivibiv/math_instruct | |
Suppose -5*h - 5*m - 16 = -2*m, 0 = 4*h + 5*m + 18. Suppose y = 4*y + 6. Is h smaller than y?\n | False\n | ibivibiv/math_instruct | |
What is 260546 to the power of 1/3, to the nearest integer?\n | 64\n | ibivibiv/math_instruct | |
Let b be 1 + (-6 - 8) - -1. Suppose -4*o + 5*n = -10, o = -4*n + 1 - 9. What is the remainder when 64 - o - (-4)/(b/9) is divided by 22?\n | 17\n | ibivibiv/math_instruct | |
Which is the second biggest value? (a) 5/4 (b) 213 (c) 0\n | a\n | ibivibiv/math_instruct | |
Let a be (-1)/((-2)/(-2))*2. Let x = -4 - a. Sort 5, x, 4 in ascending order.\n | x, 4, 5\n | ibivibiv/math_instruct | |
Let t(o) = -16*o - 4. List the prime factors of t(-7).\n | 2, 3\n | ibivibiv/math_instruct | |
What is -237 minus 10?\n | -247\n | ibivibiv/math_instruct | |
Simplify 4*((0 + sqrt(5))*-1 - (-3 + sqrt(5) + 1)).\n | -8*sqrt(5) + 8\n | ibivibiv/math_instruct | |
Let j(u) = -u**2. Let c(h) = 63638*h**2. Determine c(j(v)).\n | 63638*v**4\n | ibivibiv/math_instruct | |
Collect the terms in 21 - 55*a - 9 - 33*a + 40*a - 12 + 35*a.\n | -13*a\n | ibivibiv/math_instruct | |
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### RSA algorithm assignment [duplicate]
Alice wants to share a symmetric key with Bob. She encrypts the small (64-bit) secret key $K$ with Bob’s public RSA key $(n,e)$ by padding it with zeroes to 2048 bits (the ... | RSA is a widely used public-key cryptosystem, invented by Ron Rivest, Adi Shamir, and Leonard Adleman in 1977. It is based on the mathematical difficulty of factoring large composite numbers into their prime factors. At its core, RSA involves a pair of keys: a public key, consisting of the modulus `n` and exponent `e`... | ibivibiv/math_instruct | |
What is the next term in 12299479, 12299489, 12299499?\n | 12299509\n | ibivibiv/math_instruct | |
What is the third root of 12190 to the nearest integer?\n | 23\n | ibivibiv/math_instruct | |
Solve 362 = 218*u - 4652 for u.\n | 23\n | ibivibiv/math_instruct | |
Let w = 3237 + -3234. What is the nearest to 5.5 in 1/2, w, -5/4, 0.1?\n | w\n | ibivibiv/math_instruct | |
Simplify 2 + (1*(sqrt(80)*1)**2 + 1)*-4.\n | -322\n | ibivibiv/math_instruct | |
What is 4.896219 rounded to two decimal places?\n | 4.9\n | ibivibiv/math_instruct |
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