instruction_seed stringlengths 5 2.9k | response_seed stringlengths 3 9.55k | input stringclasses 1
value | _source stringclasses 1
value |
|---|---|---|---|
Calculate prob of sequence doo when three letters picked without replacement from vvdvvodrvovrvvrdvv.\n | 1/816\n | ibivibiv/math_instruct | |
Suppose -2 = 4*r + 14. Let u be 244/4 + r/4. Suppose h = -2*j + 68, 0 = -3*h + 4*j + 214 - u. Is h a prime number?\n | False\n | ibivibiv/math_instruct | |
Let w(d) = 155*d + 5. Let b(r) = 6*r**3 - 2*r + 1. Let p be b(1). Let l be w(p). Let o = l + -463. Is o composite?\n | False\n | ibivibiv/math_instruct | |
b"What is the mth term of -66, -60, -38, 6, 78?\n" | m**3 + 2*m**2 - 7*m - 62\n | ibivibiv/math_instruct | |
Let z = -8 - 17. Let u = -24.51 - z. What is u rounded to 1 dp?\n | 0.5\n | ibivibiv/math_instruct | |
Does 141 divide 10238213?\n | False\n | ibivibiv/math_instruct | |
Let n(x) = 7303*x + 51100. Determine n(-7).\n | -21\n | ibivibiv/math_instruct | |
Solve 405*l**4 - 1437930*l**3 + 22114145*l**2 - 9615500*l + 1060500 = 0.\n | 2/9, 15, 3535\n | ibivibiv/math_instruct | |
Let t(o) = o**3 + 79*o**2 - 332*o + 4. Let l be t(4). Solve 12 + 6*a**3 + 99/5*a**2 + 132/5*a + 3/5*a**l = 0.\n | -5, -2, -1\n | ibivibiv/math_instruct | |
Factor 3*r**2/5 + 279*r/5 - 114.\n | 3*(r - 2)*(r + 95)/5\n | ibivibiv/math_instruct | |
Expand (0*i + 0*i - i**3)*(-3 - 2 + 3 + 0 + 0 - 7 + (-1 - 1 + 1)*(3 - 2 - 3) - 1 + 1 - 3).\n | 10*i**3\n | ibivibiv/math_instruct | |
What is the highest common divisor of 15985095 and 840?\n | 105\n | ibivibiv/math_instruct | |
Write an educational piece suited for college students related to the following text snippet:
"# The spherical pendulum
The Hamiltonian of the spherical pendulum is derived. An implementation is shown and various graphical results are presented.
Available with Zymplectic v.0.3.0 (revised from v.0.2.6)
The spherical ... | A spherical pendulum is a type of mechanical system where a point mass (also known as the "bob") is attached to a rod of fixed length, allowing it to swing freely in three-dimensional space. This system can be described by several variables, including the length of the pendulum (r), the mass of the bob (m), the gravit... | ibivibiv/math_instruct | |
Round -22877800 to the nearest one million.\n | -23000000\n | ibivibiv/math_instruct | |
Suppose -3*g = -50 + 44. Solve 0 = g*x + x - 6, 0 = -5*q - 5*x for q.\n | -2\n | ibivibiv/math_instruct | |
Let v(h) = -h**2 + 12*h - 12. Is 8 a factor of v(10)?\n | True\n | ibivibiv/math_instruct | |
Three letters picked without replacement from {g: 3, d: 3, l: 1, p: 4, w: 3, j: 2}. What is prob of sequence ldp?\n | 1/280\n | ibivibiv/math_instruct | |
Let u(j) = -4360*j + 0 + 2179*j - 2 + 2177*j - 2*j**2. Suppose 13 = -4*y - 3. Let b(h) = -3*h**2 - 7*h - 3. Determine y*b(k) + 7*u(k).\n | -2*k**2 - 2\n | ibivibiv/math_instruct | |
Let r = -1 - -4. Let s be (10/(-15))/((-2)/r). What is the units digit of ((-11)/3)/(s/(-6))?\n | 2\n | ibivibiv/math_instruct | |
Let h = 5 + -8. Let z(w) = -w**2 - 3*w + 2. Let x be z(h). Suppose -5*q + i = -107, -4*q - x*i + i = -91. What is the remainder when 41 is divided by q?\n | 19\n | ibivibiv/math_instruct | |
Expand (103 - 103 + 23*z)*(4*z**2 - 5*z**2 + 11*z**2) - 2*z**2 - 17*z**3 + 15*z**3 + 5 - 4.\n | 228*z**3 - 2*z**2 + 1\n | ibivibiv/math_instruct | |
Write an educational piece suited for college students related to the following text snippet:
"# How many 5-digit zip codes can there be with exactly two digits the same?
1,756
I presume youre talking about a $5$-digit zip code (not ZIP+4). To choose a zip code satisfying your condition, choose an ordered $4$-tuple o... | Let us delve into the problem posed in the given text snippet, which asks how many possible 5-digit zip codes can be formed when exactly two digits are identical while the remaining three are unique. We will explore combinatorics techniques necessary to solve this type of problem systematically. Combinatorics deals wi... | ibivibiv/math_instruct | |
Suppose 0*l - l = 0. Suppose -2*d + 0*d = l. Solve -2*s - o + 11 = d, 0 = 5*s + o + o - 26 for s.\n | 4\n | ibivibiv/math_instruct | |
What is the tens digit of 499?\n | 9\n | ibivibiv/math_instruct | |
What is next in 2373, 2495, 2615, 2733, 2849, 2963?\n | 3075\n | ibivibiv/math_instruct | |
Evaluate ((-182)/28*2/3)/((-5)/(-15)).\n | -13\n | ibivibiv/math_instruct | |
What is the closest to 7/5 in -21, -1/2, -2?\n | -1/2\n | ibivibiv/math_instruct | |
Calculate -20192958 divided by -6.\n | 3365493\n | ibivibiv/math_instruct | |
Let y(d) = -3*d - 10. Let q be y(-4). Factor 2/7*v**q - 4/7 + 2/7*v.\n | 2*(v - 1)*(v + 2)/7\n | ibivibiv/math_instruct | |
Let l = 345.8 + -382. Let r = l + 36.3. Sort 2/7, 0.2, 0.04, r in descending order.\n | 2/7, 0.2, r, 0.04\n | ibivibiv/math_instruct | |
Let v(l) = -l**3 - 7*l**2 - 4*l + 8. Calculate v(-7).\n | 36\n | ibivibiv/math_instruct | |
Round 0.00005511429 to 6 decimal places.\n | 0.000055\n | ibivibiv/math_instruct | |
Three letters picked without replacement from {e: 4, w: 9, p: 3}. Give prob of sequence wwp.\n | 9/140\n | ibivibiv/math_instruct | |
0.0405 * 0.13\n | 0.005265\n | ibivibiv/math_instruct | |
Calculate prob of picking 4 d when four letters picked without replacement from {s: 2, y: 3, d: 12}.\n | 99/476\n | ibivibiv/math_instruct | |
What is the ninth root of 223001 to the nearest integer?\n | 4\n | ibivibiv/math_instruct | |
What is the second smallest value in 4/31, -25, -12?\n | -12\n | ibivibiv/math_instruct | |
In base 8, what is -1 + -1646?\n | -1647\n | ibivibiv/math_instruct | |
What comes next: 3787, 3785, 3783, 3781?\n | 3779\n | ibivibiv/math_instruct | |
Suppose -a + 5*a = 16. Suppose 0 = 3*m + 3*s + 10 + 2, -s = -3*m + a. Let o = m + 3. Let w(y) = 4*y + 3. Let v(n) = 9*n + 7. Give o*v(r) - 7*w(r).\n | -r\n | ibivibiv/math_instruct | |
Is -2566 smaller than -5042?\n | False\n | ibivibiv/math_instruct | |
Let y = -0.171 - -0.371. What is the nearest to -2 in y, -2/7, -1?\n | -1\n | ibivibiv/math_instruct | |
Let b be (-3)/(24/(-236))*2. Suppose -b = -4*j + 93. What is the tens digit of j?\n | 3\n | ibivibiv/math_instruct | |
Let r = 29 + 28. Let k = r - 57. Which is the fourth smallest value? (a) 2/7 (b) k (c) 0.1 (d) 1/2\n | d\n | ibivibiv/math_instruct | |
Let z be 1/2 - 90/(-4). Let k = 24 + -21. Suppose 4*d - z = -5*n, -k*d = 2*n - 4*d - 17. What are the prime factors of n?\n | 7\n | ibivibiv/math_instruct | |
Let h = -66 + 68. Let z(w) = 0*w**2 - 2*w**2 + 7*w**2 - 6*w**h. Let r be (-1 + 1)/(1 + -2). What is z(r)?\n | 0\n | ibivibiv/math_instruct | |
Put -3, -2, 5433 in descending order.\n | 5433, -2, -3\n | ibivibiv/math_instruct | |
Is 3520334801 composite?\n | True\n | ibivibiv/math_instruct | |
Simplify 6*((2*1*(sqrt(5184) + sqrt(5184)*-1))/(sqrt(300)*-2*-1 + 4*2*sqrt(300)))**2.\n | 0\n | ibivibiv/math_instruct | |
Suppose -4*u + 2983 - 941 = 2*s, -u + 5*s = -538. What are the prime factors of u?\n | 3, 19\n | ibivibiv/math_instruct | |
Which is greater: -466/4249 or -1?\n | -466/4249\n | ibivibiv/math_instruct | |
In base 9, what is -5620 - -6?\n | -5613\n | ibivibiv/math_instruct | |
Round -0.00000105175 to 7 decimal places.\n | -0.0000011\n | ibivibiv/math_instruct | |
Is (14 - 17 - -6) + 116138 a prime number?\n | True\n | ibivibiv/math_instruct | |
Are -27 and 2506941 unequal?\n | True\n | ibivibiv/math_instruct | |
Solve 0 = -14*j + 21*j - 21 for j.\n | 3\n | ibivibiv/math_instruct | |
Is 1009937113 a composite number?\n | False\n | ibivibiv/math_instruct | |
What is the next term in 960, 7587, 25576, 60609, 118368?\n | 204535\n | ibivibiv/math_instruct | |
What is 424872538 to the power of 1/6, to the nearest integer?\n | 27\n | ibivibiv/math_instruct | |
Let c(s) = s + 4. Let r(z) = 14*z**3 - z + 1. Let d be r(1). Let m = d - 11. List the prime factors of c(m).\n | 7\n | ibivibiv/math_instruct | |
Evaluate (-264)/(-48)*(-201)/134.\n | -33/4\n | ibivibiv/math_instruct | |
Let i be (-1)/(-5 - (10/(-4) - 2)). Solve 3 = -5*j - 7, 0 = -i*g - 2*j - 6 for g.\n | -1\n | ibivibiv/math_instruct | |
Let s = -16 - -40. Let h be (3 + s)/3 + 2. Suppose 0 + h = g. What are the prime factors of g?\n | 11\n | ibivibiv/math_instruct | |
Let l(p) = 52*p**2 - p - 1. Let d = 3 - 0. Calculate the remainder when l(-1) is divided by 108/d*(-1)/(-2).\n | 16\n | ibivibiv/math_instruct | |
List the prime factors of 310509977.\n | 397, 782141\n | ibivibiv/math_instruct | |
Convert 3ce125 (base 16) to base 15.\n | 53c267\n | ibivibiv/math_instruct | |
List the prime factors of 3683.\n | 29, 127\n | ibivibiv/math_instruct | |
Let b = 1338 + -2322. What is the units digit of b/(-14) + 6/(-21)?\n | 0\n | ibivibiv/math_instruct | |
Let g(p) = p**2. Let j(w) be the second derivative of 0 - 1/6*w**3 + 0*w**2 + 5*w. What is g(j(z))?\n | z**2\n | ibivibiv/math_instruct | |
Let r = 10 - 1. Let u(j) = -2*j + 16. Let x be u(r). Which is the second smallest value? (a) 4 (b) -0.1 (c) 0.2 (d) x\n | b\n | ibivibiv/math_instruct | |
What is prob of sequence djg when three letters picked without replacement from {g: 1, z: 2, j: 2, d: 1, t: 2, l: 1}?\n | 1/252\n | ibivibiv/math_instruct | |
Let v = 744577/1305 - 2852/5. What is the common denominator of v and 4/189?\n | 5481\n | ibivibiv/math_instruct | |
Let h(o) = 174*o**2 + 590*o - 69. Is h(20) a composite number?\n | False\n | ibivibiv/math_instruct | |
"statement 1": In ABC limited , 75 % are using Samsung phone at the same time 70 % using i phone ; If in the same company 85 % are using Samsung phone then , what is the percentage of i phone user ?, "statement 2" :In ABC limited , less than 75 % are using Samsung phone at the same time 70 % using i phone ; If in the ... | phone_S1 = 75
phone_S2 = 0
if phone_S1 is None or phone_S2 is None:
print('neutral')
elif phone_S1 == phone_S2:
print('Entailment')
elif phone_S1 != phone_S2:
print('contradiction) | ibivibiv/math_instruct | |
Is 45659921 composite?\n | False\n | ibivibiv/math_instruct | |
Suppose 69 = 3*t - 3*g, -6*t - 4*g = -9*t + 74. Calculate the lowest common multiple of (6/(-4))/((-2)/48) and t.\n | 36\n | ibivibiv/math_instruct | |
Sort 7, -4, -6.\n | -6, -4, 7\n | ibivibiv/math_instruct | |
Let b = 8 + -2. Let j be (6/(-18))/(8/b). Is 0 at least j?\n | True\n | ibivibiv/math_instruct | |
What is the highest common factor of 1114625 and 12580?\n | 185\n | ibivibiv/math_instruct | |
(39/65)/(5/3) + 776/19400\n | 2/5\n | ibivibiv/math_instruct | |
Let y be 1/3*(-63)/(-3). Let b = 13 - y. What is the remainder when 22 is divided by 76/b - 4/6?\n | 10\n | ibivibiv/math_instruct | |
What is the second derivative of -253*r**5 - 28*r - 2?\n | -5060*r**3\n | ibivibiv/math_instruct | |
Let b(k) = -16*k + 1 + 25*k - 10*k. Let j be b(5). Let f be (-27)/j*(3 + 1). What is the greatest common divisor of f and 9?\n | 9\n | ibivibiv/math_instruct | |
Factor 14/3*h + 2 + 2/3*h**3 + 10/3*h**2.\n | 2*(h + 1)**2*(h + 3)/3\n | ibivibiv/math_instruct | |
What is the result of the following expression?
16.145 + -4.525 | 11.620 | ibivibiv/math_instruct | |
-425186250 divided by 85037250\n | -5\n | ibivibiv/math_instruct | |
What is the third derivative of 83400878*p**3 + 11760772*p**2 wrt p?\n | 500405268\n | ibivibiv/math_instruct | |
What is the thousands digit of 4882?\n | 4\n | ibivibiv/math_instruct | |
Expand (-2 + 1 - 1 + 1 + 4 - 2 - 1 + 1 - 1 + 0 - 2 + 4 + (3 - 2 - 2)*(-1 - 2 + 1))*(2 + 2 - 1)*(2*m**4 - m**4 - 3*m**4).\n | -24*m**4\n | ibivibiv/math_instruct | |
What is 470 minutes after 2:54 AM?\n | 10:44 AM\n | ibivibiv/math_instruct | |
Which is smaller: -8697 or -1817729/209?\n | -1817729/209\n | ibivibiv/math_instruct | |
Let t(m) = 3*m**3 - 12*m**2 + 7*m + 12. Calculate the remainder when t(5) is divided by 32.\n | 26\n | ibivibiv/math_instruct | |
Solve 1374 = -74*z - 2104 for z.\n | -47\n | ibivibiv/math_instruct | |
Collect the terms in 688 - 1124 + 1560 - 53*n + 116*n - 1124.\n | 63*n\n | ibivibiv/math_instruct | |
What is 462 minutes after 7:56 AM?\n | 3:38 PM\n | ibivibiv/math_instruct | |
Which is the second biggest value? (a) -8 (b) -4 (c) 2 (d) 4/7\n | d\n | ibivibiv/math_instruct | |
Find the third derivative of 154753243*p**3 - 1272440*p**2 - p + 12 wrt p.\n | 928519458\n | ibivibiv/math_instruct | |
Let b(g) = -223*g**3 - 5*g**2 - 6*g - 1. Is b(-4) prime?\n | False\n | ibivibiv/math_instruct | |
Evaluate ((-17)/((-3910)/(-20)))/(-1).\n | 2/23\n | ibivibiv/math_instruct | |
How many minutes are there between 4:35 PM and 3:14 AM?\n | 639\n | ibivibiv/math_instruct |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.