instruction_seed stringlengths 5 2.9k | response_seed stringlengths 3 9.55k | input stringclasses 1
value | _source stringclasses 1
value |
|---|---|---|---|
Calculate the highest common divisor of 4827225 and 156.\n | 39\n | ibivibiv/math_instruct | |
Let z be ((-6)/4)/(3/(-4)). Let x = z + 11. Calculate the highest common factor of x and 39.\n | 13\n | ibivibiv/math_instruct | |
What is the tens digit of 358?\n | 5\n | ibivibiv/math_instruct | |
Let u = -6 + 14. Let q(c) = 3*c. Let n be q(u). Suppose -3*i + n = -3. List the prime factors of i.\n | 3\n | ibivibiv/math_instruct | |
Let d(a) = -24000*a. Let i be d(10). Round i to the nearest one hundred thousand.\n | -200000\n | ibivibiv/math_instruct | |
Let d(p) be the second derivative of -3*p**3/2 - 35*p**2/2 - 6*p - 486. Let u(f) = 6*f + 23. Determine 5*d(a) + 8*u(a).\n | 3*a + 9\n | ibivibiv/math_instruct | |
Let d = 207 - 204. Let k(s) be the first derivative of 0*s - s**d + 0*s**2 + 4 - 3/4*s**4. Find i such that k(i) = 0.\n | -1, 0\n | ibivibiv/math_instruct | |
Two letters picked without replacement from {i: 1, m: 2, e: 1, s: 3, f: 3}. Give prob of sequence ss.\n | 1/15\n | ibivibiv/math_instruct | |
Divide 3303 by -3.\n | -1101\n | ibivibiv/math_instruct | |
Let b(z) = z + 29. Calculate the remainder when 30 is divided by b(-18).\n | 8\n | ibivibiv/math_instruct | |
What is 22225378 to the power of 1/8, to the nearest integer?\n | 8\n | ibivibiv/math_instruct | |
Are 344758 and 344514 unequal?\n | True\n | ibivibiv/math_instruct | |
Let g = -2.1 - -2.3. What is the second smallest value in -0.1, g, -17/4?\n | -0.1\n | ibivibiv/math_instruct | |
Collect the terms in -9592*l - 1 + 60*l**2 - 1 + 2204*l - 62*l**2.\n | -2*l**2 - 7388*l - 2\n | ibivibiv/math_instruct | |
Suppose -8 = -2*l + 4*d + 14, l - 14 = 3*d. Solve 4*h + 8 = l*q, 3 = h - 4*q + 16 for h.\n | 3\n | ibivibiv/math_instruct | |
Calculate -132 divided by 6.\n | -22\n | ibivibiv/math_instruct | |
Two letters picked without replacement from zsszszszzszsszsszzzs. Give prob of sequence zs.\n | 5/19\n | ibivibiv/math_instruct | |
How many minutes are there between 12:18 PM and 12:13 AM?\n | 715\n | ibivibiv/math_instruct | |
Round 8.59182481 to the nearest integer.\n | 9\n | ibivibiv/math_instruct | |
Solve -7 = 4*p + 5 for p.\n | -3\n | ibivibiv/math_instruct | |
Collect the terms in 18*o**2 - 18*o**2 + 12*o**2 - 2*o.\n | 12*o**2 - 2*o\n | ibivibiv/math_instruct | |
Suppose 5*h - 3*o + 26 = 0, -4*h - 2*o - 22 = -5*o. Let z = -117 - -111. Is z > h?\n | False\n | ibivibiv/math_instruct | |
Solve -8093 = 328*a - 1205 for a.\n | -21\n | ibivibiv/math_instruct | |
What is the nearest to 24 in 14, 0.04, -4, 1/4?\n | 14\n | ibivibiv/math_instruct | |
Is 85670701631 prime?\n | False\n | ibivibiv/math_instruct | |
What is the second derivative of 59*m**4 + 9 + 7*m + 3 - 18*m + 17*m wrt m?\n | 708*m**2\n | ibivibiv/math_instruct | |
-297279165950 + -0.06\n | -297279165950.06\n | ibivibiv/math_instruct | |
What is the result of the following expression?
(9.885 + -86.53) / (82.982 * 50.187) | -0.0184 | ibivibiv/math_instruct | |
"statement 1": Lilly has 10 fish and Rosy has 8 fish, "statement 2" :Lilly has 40 fish and Rosy has 8 fish, "options: " Entailment or contradiction or neutral? Please write a program to solve it | LillyHasFishsS1 = 10
LillyHasFishsS2 = 40
if LillyHasFishsS1 is None or LillyHasFishsS2 is None:
print('neutral')
elif LillyHasFishsS1 == LillyHasFishsS2:
print('Entailment')
elif LillyHasFishsS1!=LillyHasFishsS2:
print('contradiction) | ibivibiv/math_instruct | |
Calculate the common denominator of -37/1410360 and 61/100.\n | 7051800\n | ibivibiv/math_instruct | |
Round -194.9197 to one dp.\n | -194.9\n | ibivibiv/math_instruct | |
Collect the terms in 77751 - 7030*r - 77751.\n | -7030*r\n | ibivibiv/math_instruct | |
20 (base 9) to base 10\n | 18\n | ibivibiv/math_instruct | |
Which is smaller: -146 or 25?\n | -146\n | ibivibiv/math_instruct | |
Let c = -196600/2844293 - 4/16441. Which is bigger: c or -1?\n | c\n | ibivibiv/math_instruct | |
Suppose -12*t + 560 = -7*t. Is 16 a factor of t?\n | True\n | ibivibiv/math_instruct | |
Calculate -2*1/7*(-63)/81.\n | 2/9\n | ibivibiv/math_instruct | |
Sum 412 and 4.\n | 416\n | ibivibiv/math_instruct | |
How many minutes are there between 2:39 PM and 5:32 PM?\n | 173\n | ibivibiv/math_instruct | |
Let -3/2 + 1/4*y**2 - 1/4*y = 0. What is y?\n | -2, 3\n | ibivibiv/math_instruct | |
What is the hundred thousands digit of 4222340?\n | 2\n | ibivibiv/math_instruct | |
Let -n**3/6 - 7*n**2/3 - 49*n/6 = 0. Calculate n.\n | -7, 0\n | ibivibiv/math_instruct | |
What is prob of picking 2 j and 1 h when three letters picked without replacement from {h: 2, t: 2, j: 5}?\n | 5/21\n | ibivibiv/math_instruct | |
What are the prime factors of 869366?\n | 2, 434683\n | ibivibiv/math_instruct | |
What is the greatest common factor of 540 and 756?\n | 108\n | ibivibiv/math_instruct | |
What is the next term in 441950, 883905, 1325860, 1767815?\n | 2209770\n | ibivibiv/math_instruct | |
What is the value of (-2904)/(-1694) + (7272/(-28))/(-6)?\n | 45\n | ibivibiv/math_instruct | |
What is the derivative of -4*g**3 + 859123*g**2 + g - 125296850?\n | -12*g**2 + 1718246*g + 1\n | ibivibiv/math_instruct | |
Does 22 divide 118199034?\n | False\n | ibivibiv/math_instruct | |
Which is bigger: 0 or -2/125381?\n | 0\n | ibivibiv/math_instruct | |
Let v = 0.03 + -3.03. Let x = 18 - 29. Let c = x + 16. Put -2, c, v in descending order.\n | c, -2, v\n | ibivibiv/math_instruct | |
Suppose 449 = 12*w + 149. Let i = -20 + w. Solve 5*y + 25 = -5*f, -y + 25 = -i*f + y for f.\n | -5\n | ibivibiv/math_instruct | |
What is the value of ((-1)/(-15)*-5)/((-1)/(-3))?\n | -1\n | ibivibiv/math_instruct | |
Round 68.23 to the nearest integer.\n | 68\n | ibivibiv/math_instruct | |
Solve 0 = -y - 10*z + 58, -y + 3363 = -0*y - 4*z + 3375 for y.\n | 8\n | ibivibiv/math_instruct | |
Suppose 2*y - 18 = -0. Suppose 0 = -y*c + 5*c + 60. What is the highest common factor of 120 and c?\n | 15\n | ibivibiv/math_instruct | |
95458 divided by -35\n | -95458/35\n | ibivibiv/math_instruct | |
Let k(m) = 61*m**2. Let y(w) be the second derivative of -w**5/30 - 21*w**2/2 - w. Let c(u) be the first derivative of y(u). What is c(k(z))?\n | -7442*z**4\n | ibivibiv/math_instruct | |
Which is the fourth biggest value? (a) -81/5 (b) -0.5 (c) -3 (d) 3/8 (e) 74/3\n | c\n | ibivibiv/math_instruct | |
Suppose 0*t + 2*t = -2*v + 76, -120 = -3*v + 3*t. Let r = v + -3. What is the remainder when r is divided by 10?\n | 6\n | ibivibiv/math_instruct | |
Let f = 3 + -3. Solve -5*o = -f*o - 20 for o.\n | 4\n | ibivibiv/math_instruct | |
Solve -3*r = 3*c + 48, 59319*c - 59314*c + 2*r = -32 for c.\n | 0\n | ibivibiv/math_instruct | |
Collect the terms in -84633*v**2 + 42313*v**2 + 42319*v**2.\n | -v**2\n | ibivibiv/math_instruct | |
Which is greater: -22/93 or 0?\n | 0\n | ibivibiv/math_instruct | |
Let t = -0.1 - -0.4. Let f = 19/23 + -156/161. What is the second smallest value in 5, t, -1/6, f?\n | f\n | ibivibiv/math_instruct | |
Round -5.952665 to 0 decimal places.\n | -6\n | ibivibiv/math_instruct | |
Calculate -4 divided by -23973.\n | 4/23973\n | ibivibiv/math_instruct | |
Calculate -6 - (2 + 7 - 22).\n | 7\n | ibivibiv/math_instruct | |
Which is bigger: -80528312 or 0.1?\n | 0.1\n | ibivibiv/math_instruct | |
Add -1 and -0.064264.\n | -1.064264\n | ibivibiv/math_instruct | |
What is 1358.672 millilitres in litres?\n | 1.358672\n | ibivibiv/math_instruct | |
What is the highest common divisor of 248878 and 406?\n | 406\n | ibivibiv/math_instruct | |
Sort -11, 1/3, -21.5, -0.5, 0.043.\n | -21.5, -11, -0.5, 0.043, 1/3\n | ibivibiv/math_instruct | |
What is the distance between 9729641821785.1 and 0.6?\n | 9729641821784.5\n | ibivibiv/math_instruct | |
Suppose 4*v = -a + 73, 3*v + 2*v - a - 80 = 0. Let t = 0 + v. Is 16 a factor of t?\n | False\n | ibivibiv/math_instruct | |
Convert 0.8808502l to millilitres.\n | 880.8502\n | ibivibiv/math_instruct | |
Simplify (((0 + sqrt(252))**2 - (-3 + (sqrt(7) - sqrt(7)*1)**2)) + 4)*-3.\n | -777\n | ibivibiv/math_instruct | |
Let l(y) = 16*y**2 - 431*y - 24. Let i be l(27). Solve -5 = 15*v - 14*v, 2*v + 25 = i*c for c.\n | 5\n | ibivibiv/math_instruct | |
Is 46171 prime?\n | True\n | ibivibiv/math_instruct | |
Do -18/2647507 and 1/3 have the same value?\n | False\n | ibivibiv/math_instruct | |
Suppose 3*c + 7 = -o, -6*o - 4 = -5*o + 2*c. Suppose v + 5*b = 0, -o*v = -b - 0*b. Suppose -2*x - 2*y + 25 = 3*y, 0 = 5*x - 2*y + 10. Is v equal to x?\n | True\n | ibivibiv/math_instruct | |
Suppose -15 = -2*j + j. Let k be 360/(-16)*(-12)/(-9). What is the remainder when j is divided by 1 - 0 - k/6?\n | 3\n | ibivibiv/math_instruct | |
What is 6*(2375/399 + -6)?\n | -2/7\n | ibivibiv/math_instruct | |
Evaluate (2/6)/((-7)/14).\n | -2/3\n | ibivibiv/math_instruct | |
What is 76868766 divided by 143949?\n | 534\n | ibivibiv/math_instruct | |
Let g(z) = -z**2. Let q(a) = -3 + 3 + a**2 + 0*a**2. Let p(v) = -4*g(v) - 3*q(v). Let x(c) be the second derivative of -c**4/6 - c. Calculate p(x(m)).\n | 4*m**4\n | ibivibiv/math_instruct | |
Determine a, given that -2*a**2 + 24772*a - 76706498 = 0.\n | 6193\n | ibivibiv/math_instruct | |
What is 4030 (base 7) in base 2?\n | 10101110001\n | ibivibiv/math_instruct | |
Let y(f) be the first derivative of -4/7*f**7 + 0*f**5 + 5 + 0*f + 1/3*f**3 + 0*f**2 + 0*f**6 + 0*f**4. Find the third derivative of y(g) wrt g.\n | -480*g**3\n | ibivibiv/math_instruct | |
Suppose 5*h + 0*w = -4*w + 19, 2*h - 2*w - 4 = 0. Suppose -5 = -p - h. Let f be p/8*(-16)/(-10). Sort 4, -5, f in descending order.\n | 4, f, -5\n | ibivibiv/math_instruct | |
What is the tenth root of 19135 to the nearest integer?\n | 3\n | ibivibiv/math_instruct | |
What is the ten millions digit of 218579211?\n | 1\n | ibivibiv/math_instruct | |
Let a(v) = 7*v**3 - 3*v**2 + 7*v + 73. Let m(d) = -4*d**3 + 2*d**2 - 4*d - 37. Let y(g) = 3*a(g) + 5*m(g). What is the remainder when y(0) is divided by 18?\n | 16\n | ibivibiv/math_instruct | |
Suppose -4*k + 46 = 2*i, -2*i = -4*i + 10. Let g(z) = -z**3 + 18*z**2 - 12*z - 71. What is the remainder when g(17) is divided by k?\n | 5\n | ibivibiv/math_instruct | |
Is 2632498667 prime?\n | False\n | ibivibiv/math_instruct | |
Calculate 130*(-34)/(-663)*15/650.\n | 2/13\n | ibivibiv/math_instruct | |
Write an educational piece suited for college students related to the following text snippet:
"# Is this “theorem” true in Optimization Theory?
If I have a function $f(x,y)$ subjected to a region $D$ on the xy-plane, then the extreme values of $f(x,y)$ occurs at the extreme "corners" points of $D$?
I remember waaaaaa... | In optimization theory, the question you pose about whether the extreme values of a function occur only at the extreme corners of its domain is indeed a fundamental concept. This idea is closely connected to the notion of convexity, which plays a crucial role in many optimization problems. Here, we delve into these to... | ibivibiv/math_instruct | |
Solve 3*w = -3503 + 3512, l - 3*w + 5 = 0 for l.\n | 4\n | ibivibiv/math_instruct | |
Expand (-2 + 2 - 2)*(-14*l + 9*l - 15*l) - 4*l + 0*l + 5*l.\n | 41*l\n | ibivibiv/math_instruct | |
Solve f = m - 4*f - 8, -5*f = 4*m + 18 for m.\n | -2\n | ibivibiv/math_instruct |
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