instruction_seed stringlengths 5 2.9k | response_seed stringlengths 3 9.55k | input stringclasses 1
value | _source stringclasses 1
value |
|---|---|---|---|
Is 144890771 a prime number?\n | False\n | ibivibiv/math_instruct | |
Let r = -7.9 - -13. Let d = 5.041 - 0.041. Let c = r - d. What is the second smallest value in c, 0, 2/5?\n | c\n | ibivibiv/math_instruct | |
What is (-52780)/(-4550)*(-5)/(-2)?\n | 29\n | ibivibiv/math_instruct | |
Simplify (t**2*t*t/t**5*t**(-2/5)/t**(2/17))/(t*t**(1/6)*t*t*t*t**7)**(-2/169) assuming t is positive.\n | t**(-59708/43095)\n | ibivibiv/math_instruct | |
Solve -4*y + 8*y + 110 = 14*y for y.\n | 11\n | ibivibiv/math_instruct | |
Let z = 2 + -6. Let x be (2 + -12)*2/z. Solve 0 = d - x*d - 4 for d.\n | -1\n | ibivibiv/math_instruct | |
Let p(w) be the second derivative of 5*w**5/4 + w**3/3 + 67*w**2/2 + 29*w. Differentiate p(j) wrt j.\n | 75*j**2 + 2\n | ibivibiv/math_instruct | |
Expand (2*z**2 - 2*z**3 - 3*z**2 - z**3)*(-z + z - 8*z).\n | 24*z**4 + 8*z**3\n | ibivibiv/math_instruct | |
Simplify v**(12/11)*v**(-6)*((v**(1/13)/v*v)/v)/(v/(v/(((v/v**9)/v*v)/v))) assuming v is positive.\n | v**(453/143)\n | ibivibiv/math_instruct | |
Express 873*x - 27340 + 27340 + (3 + 2 - 3)*(7*x - 3*x - 2*x) in the form d + r*x and give r.\n | 877\n | ibivibiv/math_instruct | |
Four letters picked without replacement from nnninininnnnnnnnnn. Give prob of picking 2 i and 2 n.\n | 7/68\n | ibivibiv/math_instruct | |
Let p be 9/6*8/6. Let i be ((-108)/90)/(4/30). Let q(w) = -w**2 - 9*w + 4. Let u be q(i). Solve 4*a + p*g = -g + 17, u = -4*g for a.\n | 5\n | ibivibiv/math_instruct | |
Calculate -2 divided by 23531808.\n | -1/11765904\n | ibivibiv/math_instruct | |
Let g be 189/315 + (-138744)/(-10). Suppose -j + g - 3752 = 0. Is j a composite number?\n | True\n | ibivibiv/math_instruct | |
What is 710 minutes after 3:30 PM?\n | 3:20 AM\n | ibivibiv/math_instruct | |
What is the units digit of 413548?\n | 8\n | ibivibiv/math_instruct | |
Let s(l) = 3*l + 7. Let q(g) = 0*g + 6*g - 8*g + g - 2. Give -21*q(r) - 6*s(r).\n | 3*r\n | ibivibiv/math_instruct | |
Let q(j) = -14649*j**3 - 5*j**2 - 2*j + 16. Suppose s + 3*w = 4, 0*s + w = 2*s + 20. Let d be q(s). What is d rounded to the nearest 1000000?\n | 8000000\n | ibivibiv/math_instruct | |
Let q(j) = j**3 + j - 1. Let w(l) = 2*l**3 + 2*l - 2. Determine 14*q(g) - 6*w(g).\n | 2*g**3 + 2*g - 2\n | ibivibiv/math_instruct | |
Let j be -2 - 7/(21/(-18)). Let o = 45 + j. Is 17 a factor of o?\n | False\n | ibivibiv/math_instruct | |
Suppose -2*k + 15 = y + 4*y, 3*k - 3*y = -9. Which is the third smallest value? (a) -0.3 (b) -3/5 (c) k\n | c\n | ibivibiv/math_instruct | |
What is the third derivative of 650064*h**4 + 237401*h**2?\n | 15601536*h\n | ibivibiv/math_instruct | |
Let q(m) = 5*m**2. Let g(t) = -1221*t**2. Give g(q(y)).\n | -30525*y**4\n | ibivibiv/math_instruct | |
What are the prime factors of 2134?\n | 2, 11, 97\n | ibivibiv/math_instruct | |
-885 divided by 5\n | -177\n | ibivibiv/math_instruct | |
What is 10239510 to the power of 1/8, to the nearest integer?\n | 8\n | ibivibiv/math_instruct | |
Three letters picked without replacement from cnkqkkc. What is prob of sequence ckq?\n | 1/35\n | ibivibiv/math_instruct | |
What is prob of sequence zv when two letters picked without replacement from {p: 5, v: 2, z: 1, t: 1, f: 3, r: 1}?\n | 1/78\n | ibivibiv/math_instruct | |
What is 419 minutes after 3:28 PM?\n | 10:27 PM\n | ibivibiv/math_instruct | |
A customer went to a shop and paid a total of $200. In the shop, there are three categories of items: taxable items at 6%, taxable items at 4%, and tax-free items. Additionally, there are two types of discounts applied to some of the items: a 10% discount for buying at least 5 units of certain items in the first taxabl... | Lets start by calculating the net cost of the purchased items in the first taxable category after applying the discount and tax.
1. Taxable items at 6% with a 10% discount for buying at least 5 units:
Let the original cost of these items be \( x \).
The 10% discount reduces this cost to \( 0.9x \).
The 6% tax on the d... | ibivibiv/math_instruct | |
What is the result of the following expression?
7.021 * -10.855 | -76.213 | ibivibiv/math_instruct | |
Let x = -25.04 - -24.48. What is the nearest to -1 in x, 0.1, -2?\n | x\n | ibivibiv/math_instruct | |
Suppose 304 = v + 11*v + 16. What is the greatest common factor of v and 3072?\n | 24\n | ibivibiv/math_instruct | |
Two letters picked without replacement from {q: 12, c: 1, x: 2, u: 1, v: 2}. What is prob of sequence xc?\n | 1/153\n | ibivibiv/math_instruct | |
Let v(j) = -5*j**2 + 207*j - 76. What is v(41)?\n | 6\n | ibivibiv/math_instruct | |
Let r(k) be the first derivative of k**4/12 + k**3/3 + k**2/2 + k/3 - 3. Factor r(t).\n | (t + 1)**3/3\n | ibivibiv/math_instruct | |
Solve 256 - 263 = h for h.\n | -7\n | ibivibiv/math_instruct | |
Solve 10*o - 66 = -46 for o.\n | 2\n | ibivibiv/math_instruct | |
What is the third smallest value in 2/5, 3, 2748.01, 3/7?\n | 3\n | ibivibiv/math_instruct | |
What is the cube root of 90237110 to the nearest integer?\n | 449\n | ibivibiv/math_instruct | |
Rearrange (-56 - a**2 - 15 - 121)*(-2*a + 0 - 5 + 3) to b*a**3 + t*a**2 + p + h*a and give b.\n | 2\n | ibivibiv/math_instruct | |
Let r be (-4)/(-66) - 16660/462. Find the common denominator of -115/78 and 70/(-273)*r/45.\n | 78\n | ibivibiv/math_instruct | |
What is -34b65 (base 16) in base 3?\n | -101222011122\n | ibivibiv/math_instruct | |
Three letters picked without replacement from {g: 9}. Give prob of picking 3 g.\n | 1\n | ibivibiv/math_instruct | |
Solve -3 = -6*m + 27 for m.\n | 5\n | ibivibiv/math_instruct | |
What is the next term in -392, -958, -1702, -2630, -3748?\n | -5062\n | ibivibiv/math_instruct | |
Let t(z) = -z**2 - 3. Let h be t(-10). Let v = h - -112. What is the common denominator of (35/(-3))/(48/v) - 4 and 87/4?\n | 16\n | ibivibiv/math_instruct | |
Sort 0.3, 2/303, 1, -4.07422.\n | -4.07422, 2/303, 0.3, 1\n | ibivibiv/math_instruct | |
b"What is the th term of -221, -895, -2015, -3581, -5593, -8051, -10955?\n" | -223*b**2 - 5*b + 7\n | ibivibiv/math_instruct | |
Suppose 0*z - z = 4*p - 20, -3*z + 2*p = -74. Is 24 at most z?\n | True\n | ibivibiv/math_instruct | |
Which is the sixth biggest value? (a) -1 (b) -28 (c) -0.5 (d) 440 (e) 0.5 (f) 1.4\n | b\n | ibivibiv/math_instruct | |
Let l(g) = -11*g + 362. Let p(n) = 7*n - 241. Give -5*l(a) - 8*p(a).\n | -a + 118\n | ibivibiv/math_instruct | |
Calculate the lowest common multiple of 6/((-1)/(70/(-4))) and (-180)/(-315) - 885/(-105).\n | 315\n | ibivibiv/math_instruct | |
Simplify -3 + (-2*sqrt(288)*3)/(sqrt(384)*1).\n | -3*sqrt(3) - 3\n | ibivibiv/math_instruct | |
Which is the nearest to -1? (a) 0.5 (b) 0.46 (c) 2/17\n | c\n | ibivibiv/math_instruct | |
What is prob of picking 1 r and 2 x when three letters picked without replacement from {b: 6, w: 7, r: 1, x: 6}?\n | 1/76\n | ibivibiv/math_instruct | |
Let f(l) = -l**3 - 4*l**2 - 77*l - 216. Give f(-3).\n | 6\n | ibivibiv/math_instruct | |
Let m(w) = -14*w + 85. Calculate m(3).\n | 43\n | ibivibiv/math_instruct | |
Which is the fifth smallest value? (a) 0.1 (b) 8 (c) 4 (d) 116 (e) -1/4\n | d\n | ibivibiv/math_instruct | |
Suppose -5*i + 5*j + 35 = 0, 6*i - 9 = 9*i + 3*j. Suppose w - 44 = i*x - 125, -2*x = w - 91. What is the units digit of x?\n | 3\n | ibivibiv/math_instruct | |
What comes next: 52, 1043, 3880, 9487, 18788?\n | 32707\n | ibivibiv/math_instruct | |
Let j = 25957 - 2858. Is j prime?\n | True\n | ibivibiv/math_instruct | |
Let v = -532 + 562. Let h be 280/v*(-9)/(-12). Solve 2*a = -a + h*a for a.\n | 0\n | ibivibiv/math_instruct | |
Solve 108*y**4 - 1728*y**3 + 9216*y**2 - 16384*y = 0.\n | 0, 16/3\n | ibivibiv/math_instruct | |
Suppose -50519 = 9*k - 146*k - 5583. Let u be (-20)/(-6) - (-2)/3. Suppose u*a - k = -2*z, 0*z = 2*z - 4*a - 328. What is the hundreds digit of z?\n | 1\n | ibivibiv/math_instruct | |
-5652.316504 + 0.12\n | -5652.196504\n | ibivibiv/math_instruct | |
What is the next term in 843, 6455, 21591, 51003, 99443?\n | 171663\n | ibivibiv/math_instruct | |
Let y be 1 + (-1 - 0) - 53. Let w(a) = -a**3 + 16*a**2 - 10*a + 8. Let h be w(15). Let p = h + y. What are the prime factors of p?\n | 2, 3, 5\n | ibivibiv/math_instruct | |
Let h = 20 + -12. Let u = -6 + h. Let f = -3603/13 + 277. Put -2/5, u, f in ascending order.\n | -2/5, f, u\n | ibivibiv/math_instruct | |
In base 9, what is 10534 + 4?\n | 10538\n | ibivibiv/math_instruct | |
b"What is the kth term of 6, 33, 104, 243, 474, 821, 1308, 1959?\n" | 4*k**3 - 2*k**2 + 5*k - 1\n | ibivibiv/math_instruct | |
What is 24112110 (base 5) in base 9?\n | 368533\n | ibivibiv/math_instruct | |
Solve 322*d = 5*j + 323*d + 5, 2*d = 4*j + 18 for j.\n | -2\n | ibivibiv/math_instruct | |
Which is smaller: 0 or -438/10777?\n | -438/10777\n | ibivibiv/math_instruct | |
Let s(z) = -10*z**3 + 4*z**2 - 10*z - 28 + z**2 - 26. Is s(-5) a prime number?\n | False\n | ibivibiv/math_instruct | |
Suppose 3*f + 4*r + 0 + 271 = 0, 0 = 4*f + 5*r + 363. Let g = -97 - f. Let q be (-7 - (-42)/3) + (4 - g). Is q less than 19/2?\n | False\n | ibivibiv/math_instruct | |
Rearrange 338 - 11*q**2 - 173 - 171 to the form j + m*q**2 + c*q and give m.\n | -11\n | ibivibiv/math_instruct | |
What is the value of 23 + (2 + 58 - (428 - 408))?\n | 63\n | ibivibiv/math_instruct | |
What is 1958590 to the power of 1/3, to the nearest integer?\n | 125\n | ibivibiv/math_instruct | |
Find the third derivative of 200097*z**5 - 3*z**4 + 57*z**3 - 12882*z**2 - 38676 wrt z.\n | 12005820*z**2 - 72*z + 342\n | ibivibiv/math_instruct | |
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"Definition:Johansson's Minimal Logic
Definition
Johansson's minimal logic is a subbranch of propositional logic of the intuitionist school.
The philosophical position behind it is that it may be the case that the proof rul... | Johansson's Minimal Logic, also known as "minimal intuitionistic logic," is a subfield of propositional logic within the intuitionist school of thought. This logical system was developed by Swedish logician Ingemar Johansson and diverges from classical logic by rejecting the law of excluded middle (LEM) and double neg... | ibivibiv/math_instruct | |
Let m(v) = -2*v**3 + 30*v**2 + 35. Let a be m(15). Let j(l) = -l**2 + 38*l - 111. Let y be j(a). Let h(q) = 4*q - 6 - 5*q + 0*q. Calculate h(y).\n | 0\n | ibivibiv/math_instruct | |
What is the greatest common divisor of 15843009 and 39427?\n | 443\n | ibivibiv/math_instruct | |
Solve -9*v + 11*v = 8 for v.\n | 4\n | ibivibiv/math_instruct | |
Suppose 0 = -3*f - 4*v - 971 + 5554, 0 = -4*f + 4*v + 6092. Let n = f - 856. Is n a composite number?\n | True\n | ibivibiv/math_instruct | |
Which is the biggest value? (a) -12.2 (b) -2/5 (c) -49 (d) 5 (e) -9 (f) 4\n | d\n | ibivibiv/math_instruct | |
What is the closest to 15 in -9, 1/5, 4/29, 236?\n | 1/5\n | ibivibiv/math_instruct | |
What is the thousands digit of 198215606?\n | 5\n | ibivibiv/math_instruct | |
What is prob of sequence il when two letters picked without replacement from {j: 6, b: 1, i: 3, l: 2, w: 7}?\n | 1/57\n | ibivibiv/math_instruct | |
What is prob of picking 2 q and 1 f when three letters picked without replacement from ffpfffffqttffffqffsf?\n | 7/570\n | ibivibiv/math_instruct | |
What is the value of -1*(-18)/2*-32*21/(-2520)?\n | 12/5\n | ibivibiv/math_instruct | |
Let t(f) = -2*f**2 - 7*f + 18. Let v be t(-5). What is the first derivative of 1128*u**v + 51 - 9*u**4 + u**4 - 1129*u**3 wrt u?\n | -32*u**3 - 3*u**2\n | ibivibiv/math_instruct | |
Let z(d) be the third derivative of -d**5/20 - 15*d**2 - 4*d. Let c(p) = -261*p. Calculate z(c(b)).\n | -204363*b**2\n | ibivibiv/math_instruct | |
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"# Ticket #8469: trac_8469-rsa-rebase.patch
File trac_8469-rsa-rebase.patch, 18.2 KB (added by rbeezer, 10 years ago)
• ## doc/en/thematic_tutorials/index.rst
# HG changeset patch
# User Minh Van Nguyen <nguyenminh2@gmail.co... | The text snippet you provided is related to a change made to a file called "trac\_8469-rsa-rebase.patch" in the documentation of SageMath, a free open-source mathematics software system. Specifically, this change adds a new thematic tutorial about number theory and the RSA public key cryptosystem. I will explain these... | ibivibiv/math_instruct | |
How many millimeters are there in 1/4 of a meter?\n | 250\n | ibivibiv/math_instruct | |
What is the tens digit of 1861?\n | 6\n | ibivibiv/math_instruct | |
Solve -4*p = -59*p - 6*p - 1464 for p.\n | -24\n | ibivibiv/math_instruct | |
What is the thousands digit of 8068328?\n | 8\n | ibivibiv/math_instruct | |
Expand (0*u + 2*u - 5*u)*(9*u**2 - 6*u**2 - 2*u**2 - 3).\n | -3*u**3 + 9*u\n | ibivibiv/math_instruct | |
b"What is the kth term of -9981, -39946, -89897, -159834?\n" | -9993*k**2 + 14*k - 2\n | ibivibiv/math_instruct |
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