instruction_seed stringlengths 5 2.9k | response_seed stringlengths 3 9.55k | input stringclasses 1
value | _source stringclasses 1
value |
|---|---|---|---|
Add together 3999061686.99 and 21.7.\n | 3999061708.69\n | ibivibiv/math_instruct | |
What is 258 divided by -6?\n | -43\n | ibivibiv/math_instruct | |
In base 13, what is 14 + -99a952?\n | -99a93b\n | ibivibiv/math_instruct | |
Solve 0 = -636*z + 4428 - 1460 + 17384 for z.\n | 32\n | ibivibiv/math_instruct | |
b"What is the gth term of -294, -588, -882, -1176, -1470, -1764?\n" | -294*g\n | ibivibiv/math_instruct | |
Put 1, 3, 578, 5, -5 in increasing order.\n | -5, 1, 3, 5, 578\n | ibivibiv/math_instruct | |
Simplify ((m*m**(1/7)/m*m)**(-2/9)/((m**15/m)/((m*(m*m**(-16)*m*m)/m)/m)))**46 assuming m is positive.\n | m**(-81880/63)\n | ibivibiv/math_instruct | |
What is prob of sequence hel when three letters picked without replacement from {e: 4, l: 7, k: 1, h: 8}?\n | 28/855\n | ibivibiv/math_instruct | |
Let a = 1655 + -1648. Solve 2*z - 7 - a = 3*i, -5*i - 3*z = 17 for i.\n | -4\n | ibivibiv/math_instruct | |
Let v(h) = 31*h**3 - 5*h**2 - 5*h + 1. Let g(t) = 29*t**3 - 4*t**2 - 4*t + 1. Determine -5*g(a) + 4*v(a).\n | -21*a**3 - 1\n | ibivibiv/math_instruct | |
Round 0.0572859853 to 4 decimal places.\n | 0.0573\n | ibivibiv/math_instruct | |
Four letters picked without replacement from {r: 1, h: 1, d: 1, p: 1, g: 1, f: 2}. What is prob of picking 1 p, 1 g, 1 r, and 1 d?\n | 1/35\n | ibivibiv/math_instruct | |
Let u be 8*15/100 + (48/10 - 4). Solve 2 = -u*s + o, -5*o = 6*s - 5*s - 21 for s.\n | 1\n | ibivibiv/math_instruct | |
Is 15 a factor of 600?\n | True\n | ibivibiv/math_instruct | |
What are the prime factors of 670935?\n | 3, 5, 44729\n | ibivibiv/math_instruct | |
What is the hundred millions digit of 525314685?\n | 5\n | ibivibiv/math_instruct | |
b"What is the xth term of 63, 423, 1393, 3279, 6387, 11023, 17493, 26103?\n" | 51*x**3 - x**2 + 6*x + 7\n | ibivibiv/math_instruct | |
Let f(w) = 16823*w - 12499482. Determine f(743).\n | 7\n | ibivibiv/math_instruct | |
Sort -3, 23, -1, -4, 4 in ascending order.\n | -4, -3, -1, 4, 23\n | ibivibiv/math_instruct | |
Suppose -3*h + 107 + 136 = 0. Let c = -58 + h. Does 8 divide c?\n | False\n | ibivibiv/math_instruct | |
What is the millions digit of 1804407826?\n | 4\n | ibivibiv/math_instruct | |
Are -1 and -633/1628 unequal?\n | True\n | ibivibiv/math_instruct | |
Find the common denominator of -25/63 and 44/49.\n | 441\n | ibivibiv/math_instruct | |
What is the biggest value in -1, 225, 0.17?\n | 225\n | ibivibiv/math_instruct | |
In base 4, what is -1 - 2133232?\n | -2133233\n | ibivibiv/math_instruct | |
Collect the terms in -1791093091 - 4*j - 1791093089 + 3582186180.\n | -4*j\n | ibivibiv/math_instruct | |
Suppose 0 = -12*v - 4*v - 699 + 2683. What is the remainder when 412 is divided by v?\n | 40\n | ibivibiv/math_instruct | |
Let p(a) = a**3 + 10*a**2 - a - 31. Calculate the smallest common multiple of 7 and p(-6).\n | 119\n | ibivibiv/math_instruct | |
What is the result of the following expression?
(27.24 * -21.118) % (66.701 + -54.364) | 4.5847 | ibivibiv/math_instruct | |
Find the sum The difference between the compound and S.I. on a certain sum of money for 2 years at 10% per annum is Rs.15of money?
Answer Choices: (A) 1500 (B) 1800 (C) 2100 (D) 1950 (E) 2500 | Lets think about the multi-choice question step by step.
P = 15(100/10)2 => P = 1500
The answer is A | ibivibiv/math_instruct | |
Simplify (((sqrt(108)/(sqrt(45)/(sqrt(20)/sqrt(4)) + sqrt(9) + sqrt(9)))/(-5*(sqrt(36) - -2*sqrt(36))/sqrt(6)) + -4)*-5)**2.\n | 40*sqrt(2)/9 + 32402/81\n | ibivibiv/math_instruct | |
If Bettys herb garden has 2 more than twice the number of oregano plants as basil, and there are 5 basil plants, what is the total number of plants in the garden? | Twice the number of basil plants is 5 * 2 = 10 plants.
Adding 2 more to that gives us 10 + 2 = 12 oregano plants.
So in total, Bettys herb garden has 5 basil plants + 12 oregano plants = 17 plants.
#### 17
The answer is: 17 | ibivibiv/math_instruct | |
Let p = 134141/1072808 + -5/134101. Let 0 + 0*b - p*b**5 - 7/8*b**3 + 5/8*b**4 + 3/8*b**2 = 0. Calculate b.\n | 0, 1, 3\n | ibivibiv/math_instruct | |
Let z be (-6)/(-21) - 52/(-14). Let c(w) = -w**2 + 7*w + 2. What is c(z)?\n | 14\n | ibivibiv/math_instruct | |
Three letters picked without replacement from {v: 1, i: 1, k: 2, w: 2}. Give prob of sequence wwk.\n | 1/30\n | ibivibiv/math_instruct | |
In base 12, what is -5 - 6180604?\n | -6180609\n | ibivibiv/math_instruct | |
Let s(v) = -v - 17. Let i be s(-11). Let h(m) be the first derivative of -3*m**3 + 9*m - 2. Let u(z) = 4*z**2 - 4. What is i*h(o) - 13*u(o)?\n | 2*o**2 - 2\n | ibivibiv/math_instruct | |
Suppose -18*a + 75 = 21. Solve 2*c + 3*c = a*x, -2*c + 2*x = 0 for c.\n | 0\n | ibivibiv/math_instruct | |
Convert 268.22163 months to centuries.\n | 0.223518025\n | ibivibiv/math_instruct | |
Let p(g) = -34*g**2. Let c(k) = -15*k + 699. Determine c(p(v)).\n | 510*v**2 + 699\n | ibivibiv/math_instruct | |
Suppose o = 5*o - 20. Suppose 2*u - 48 = k, u - o*k = -4 + 37. What is the remainder when u is divided by 13?\n | 10\n | ibivibiv/math_instruct | |
Let k(z) = z**2 - 4*z. Calculate the remainder when 299 is divided by k(11).\n | 68\n | ibivibiv/math_instruct | |
Suppose -8 = 2*d, 6*d = -4*g + 2*d - 4. Suppose 2*w = g*o + 2, -5*w - o = -3*o - 16. Solve 3 = w*r - r for r.\n | 1\n | ibivibiv/math_instruct | |
Let b = 7 - 8. Let m be b/((5/4)/(-5)). Solve -m*h - 14 = -0*h - 2*i, -3*i = 4*h + 29 for h.\n | -5\n | ibivibiv/math_instruct | |
What is 1309195 take away 4307230?\n | -2998035\n | ibivibiv/math_instruct | |
(((-72)/72)/((-8)/(-4)))/(18/2124)\n | -59\n | ibivibiv/math_instruct | |
Suppose 37*z - 3*n = 39*z - 50, 4*n - 24 = 0. Solve -z*i + 192 = 8*i for i.\n | 8\n | ibivibiv/math_instruct | |
Collect the terms in 2390*v - 1222*v - 1170*v.\n | -2*v\n | ibivibiv/math_instruct | |
Let d(i) = i**2 + 10*i + 9. Let l be d(-10). Suppose -l = 7*a - 51. What are the prime factors of (a - 5)/(1/32)?\n | 2\n | ibivibiv/math_instruct | |
List the prime factors of 1219439662.\n | 2, 7, 239, 364447\n | ibivibiv/math_instruct | |
Put 550, -5, -30 in decreasing order.\n | 550, -5, -30\n | ibivibiv/math_instruct | |
Which is smaller: 0.3 or -1?\n | -1\n | ibivibiv/math_instruct | |
Let p(m) = 14*m + 370. Suppose 19 + 44 = 3*z. Calculate the remainder when p(-13) is divided by z.\n | 20\n | ibivibiv/math_instruct | |
What is -90 + 16 + 8 + 7?\n | -59\n | ibivibiv/math_instruct | |
Let n = 40 - 25. Let m(p) = p**2 - 5*p - 6. Let r be m(6). Suppose -2*u + u + n = r. What are the prime factors of u?\n | 3, 5\n | ibivibiv/math_instruct | |
Let t(a) = 5*a + 25. What is t(-8)?\n | -15\n | ibivibiv/math_instruct | |
Is 1555150981 a composite number?\n | False\n | ibivibiv/math_instruct | |
a and b invests rs . 3000 and rs . 4500 respectively in a business . if a doubles his capital after 6 months . in what ratio should a and b divide that year s profit ? | To determine the profit-sharing ratio between A and B, we need to calculate their respective capital contributions over the entire year, taking into account the time for which the capital was invested.
A initially invests Rs. 3000, and after 6 months, he doubles his capital to Rs. 6000. Therefore, A's investment can b... | ibivibiv/math_instruct | |
Suppose -16*s + 111146 = -2*s. Is s a prime number?\n | False\n | ibivibiv/math_instruct | |
What is the greatest common factor of 5 and 370?\n | 5\n | ibivibiv/math_instruct | |
What is the second derivative of -1185900*t**2 + 4356429*t + 2?\n | -2371800\n | ibivibiv/math_instruct | |
Suppose -4*n - q = -689, -11*q - 511 = -3*n - 6*q. What is the tens digit of n?\n | 7\n | ibivibiv/math_instruct | |
In base 16, what is -655b - -5?\n | -6556\n | ibivibiv/math_instruct | |
What is next in -21, -20, 7, 72, 187, 364, 615, 952?\n | 1387\n | ibivibiv/math_instruct | |
Suppose -4*j + 33 = -5*o, 3*o + 5 = -8*j + 3*j. Calculate the remainder when (135/(-6))/(((-5)/j)/5) is divided by 2/(-1 + 7/6).\n | 9\n | ibivibiv/math_instruct | |
Let l = -1564 - -1568. Let s = 2 - 0. Which is the biggest value? (a) 8 (b) s (c) l\n | a\n | ibivibiv/math_instruct | |
Let n(d) = -6*d**2 + 378. Let w(c) be the first derivative of -c**2/2 + 602. Calculate n(w(o)).\n | -6*o**2 + 378\n | ibivibiv/math_instruct | |
Let a = -4 - -9. Suppose 133*d - 11 = 130*d - m, -3*d + 1 = -4*m. Suppose -5*s = -d*c + 2*c - 64, a*c - 5 = 0. Is s a multiple of 12?\n | False\n | ibivibiv/math_instruct | |
Let m(s) = 906*s - 43. List the prime factors of m(2).\n | 29, 61\n | ibivibiv/math_instruct | |
Let t be (-8)/6 + 1 + (-1037)/(-51). Solve 4*f = -4*z - t, 4*z - 4*f + f = -20 for z.\n | -5\n | ibivibiv/math_instruct | |
Which is smaller: -3.1 or -635?\n | -635\n | ibivibiv/math_instruct | |
Suppose -h - 247 = -5*y, -5*h = y - 4*h - 53. Let i = y + 104. Is i at most 463/3?\n | True\n | ibivibiv/math_instruct | |
Calculate prob of picking 3 n when three letters picked without replacement from {n: 7, u: 3}.\n | 7/24\n | ibivibiv/math_instruct | |
What is the third root of 2041 to the nearest integer?\n | 13\n | ibivibiv/math_instruct | |
Calculate the common denominator of -61/30 and -43/1600.\n | 4800\n | ibivibiv/math_instruct | |
b"What is the rth term of -107775, -108030, -108285?\n" | -255*r - 107520\n | ibivibiv/math_instruct | |
Evaluate 56 - (99 - 27) - -56.\n | 40\n | ibivibiv/math_instruct | |
Let k = -539 + 864. Let n = -320 + k. Put -2, n, -5, -0.05 in descending order.\n | n, -0.05, -2, -5\n | ibivibiv/math_instruct | |
What is the second biggest value in 36, -0.0315, -2?\n | -0.0315\n | ibivibiv/math_instruct | |
Convert 473764 (base 9) to base 13.\n | 9c901\n | ibivibiv/math_instruct | |
Solve -4*b = 5*p + 53, -75*b + 71*b + 4*p + 28 = 0 for b.\n | -2\n | ibivibiv/math_instruct | |
Collect the terms in 4308*a**3 - 1007*a**3 + 371*a**3.\n | 3672*a**3\n | ibivibiv/math_instruct | |
Sort 5, -2, 3, 0 in descending order.\n | 5, 3, 0, -2\n | ibivibiv/math_instruct | |
How many minutes are there between 8:20 PM and 11:35 PM?\n | 195\n | ibivibiv/math_instruct | |
What comes next: 634, 2464, 5438, 9496, 14578, 20624?\n | 27574\n | ibivibiv/math_instruct | |
Let c = 5.9 - 6. Let u(t) = t**2 - 10*t + 19. Let g be u(6). Let y be (-4)/g*4/24. What is the nearest to -2/7 in c, -5, y?\n | c\n | ibivibiv/math_instruct | |
Let z = -154 + 186. Let f be 0 + ((-8)/z - (-2)/(-56)). Which is the nearest to f? (a) -6 (b) -1/4 (c) 5\n | b\n | ibivibiv/math_instruct | |
Product of -14451 and 0.07.\n | -1011.57\n | ibivibiv/math_instruct | |
What is -9 divided by 582084?\n | -1/64676\n | ibivibiv/math_instruct | |
Solve -4*z = 238 - 246 for z.\n | 2\n | ibivibiv/math_instruct | |
Suppose 0 = 2*o + 44 + 22. Let n = o + 54. Let w(s) = -s**2 + 19*s + 45. Let h be w(n). Solve 13 = 5*l + h for l.\n | 2\n | ibivibiv/math_instruct | |
Let k(c) be the third derivative of 1/1512*c**8 - c**2 + 0*c**3 + 0 + 0*c**4 + 1/270*c**5 - 1/945*c**7 + 0*c - 1/540*c**6. Factor k(b).\n | 2*b**2*(b - 1)**2*(b + 1)/9\n | ibivibiv/math_instruct | |
What is the greatest common factor of 44 and 418?\n | 22\n | ibivibiv/math_instruct | |
Collect the terms in -120*o**3 - 25*o**3 - 30860*o + 22*o**3 + 30860*o.\n | -123*o**3\n | ibivibiv/math_instruct | |
Factor -l**2 - 91*l - 90.\n | -(l + 1)*(l + 90)\n | ibivibiv/math_instruct | |
Let r(a) = -2*a + 1. Let o(y) = -245*y + 98. Let q(k) = 5*o(k) - 490*r(k). Let g(f) be the third derivative of -f**5/30 + 7*f**2 - f. What is g(q(l))?\n | -120050*l**2\n | ibivibiv/math_instruct | |
Suppose -150 = -l + 2*p, -l + 83 = -3*p - 65. Let r(t) = t**3 - 8*t**2 + 8*t + 7. Let x be r(7). Calculate the greatest common divisor of l and x.\n | 14\n | ibivibiv/math_instruct | |
Let -y**4/5 + 852*y**3/5 + 3423*y**2/5 + 862*y/5 - 5136/5 = 0. Calculate y.\n | -3, -2, 1, 856\n | ibivibiv/math_instruct | |
Find the second derivative of -4*k*u**3*y**2*z**2 + 5*k*u**3*y*z**2 + 3*k*u**2*y**2 - k*u*y**2*z + 23*u**3*y**2*z - u**3*y*z wrt z.\n | -8*k*u**3*y**2 + 10*k*u**3*y\n | ibivibiv/math_instruct | |
Suppose 6*x - 8 = 4. Solve x*h = 4*o + 4*h + 8, 3*h - 8 = 4*o for o.\n | -2\n | ibivibiv/math_instruct |
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