instruction_seed stringlengths 5 2.9k | response_seed stringlengths 3 9.55k | input stringclasses 1
value | _source stringclasses 1
value |
|---|---|---|---|
Let c(v) = 5*v - 4. Let x be c(5). Let q = x - 23. Put q, 2, -1 in ascending order.\n | q, -1, 2\n | ibivibiv/math_instruct | |
Sort -374.2, 0.3, 2/5.\n | -374.2, 0.3, 2/5\n | ibivibiv/math_instruct | |
(-22)/33*((-12)/(-9))/(-4*14/(-14))\n | -2/9\n | ibivibiv/math_instruct | |
Let v(z) = 8*z**2 - 234*z - 27. What is the hundreds digit of v(39)?\n | 0\n | ibivibiv/math_instruct | |
Let h(u) = 40*u**4 - 5*u**2 - 5*u + 11. Let a(m) = -m**4 + m**2 + m - 1. Let t(c) = 5*a(c) + h(c). What is the first derivative of t(x) wrt x?\n | 140*x**3\n | ibivibiv/math_instruct | |
Let c = -5575 - -5574.96. Sort 13, c, -1/7, 0.04.\n | -1/7, c, 0.04, 13\n | ibivibiv/math_instruct | |
Two letters picked without replacement from {u: 5, x: 6, p: 2}. What is prob of sequence xp?\n | 1/13\n | ibivibiv/math_instruct | |
Suppose 5*x - 60 = -3*w, 2*x - 2*w - 38 = 2. Suppose 2*f + x = 41. Solve -12 = i - f for i.\n | 1\n | ibivibiv/math_instruct | |
Three letters picked without replacement from {y: 13, p: 3}. Give prob of picking 3 p.\n | 1/560\n | ibivibiv/math_instruct | |
Let o(k) = k**3 - 18*k**2 + 274*k - 2929. Give o(12).\n | -505\n | ibivibiv/math_instruct | |
Let g(c) = 2*c + 7. Let a(y) = 15*y + 11. Let q(v) = -13*v - 11. Let w(z) = 5*a(z) + 6*q(z). Let l be 4 + -2 + -8 - 32/16. Determine l*g(f) - 5*w(f).\n | -f - 1\n | ibivibiv/math_instruct | |
Suppose 5*q = -3*j + 7*j - 16359, 2*j = -2*q + 8166. List the prime factors of j.\n | 2, 3, 227\n | ibivibiv/math_instruct | |
Solve 5*d + p = -32, 0 = 4*d + 264526*p - 264523*p + 19 for d.\n | -7\n | ibivibiv/math_instruct | |
Let g = -332 - -216. Let r = g - -118. Let z = 1 - -5. Solve -2*v + t = z, 0 = -t + r*t for v.\n | -3\n | ibivibiv/math_instruct | |
Suppose -5*n = -2*n. Let i = 1 - -1. Which is smaller: i or n?\n | n\n | ibivibiv/math_instruct | |
Calculate (-1)/((12/(-18))/((-4)/(-30))).\n | 1/5\n | ibivibiv/math_instruct | |
What is next in 43, 80, 139, 220, 323, 448, 595?\n | 764\n | ibivibiv/math_instruct | |
Let v(c) = -c**2 + 3*c + 5. Let p be v(5). Let z(x) = x**3 + 5*x**2 - 2*x - 7. Let y be z(p). Suppose -2*k - 5 = -y*k, -a = -2*k + 8. Solve -a*m = 11 - 1 for m.\n | -5\n | ibivibiv/math_instruct | |
What are the prime factors of 527588?\n | 2, 41, 3217\n | ibivibiv/math_instruct | |
Solve 41*r + 36 = -87 for r.\n | -3\n | ibivibiv/math_instruct | |
Let q(n) be the third derivative of n**5/30 - 34*n**2. Suppose 0 = -5*k + 15, 3*k = -4*d + 13 - 4. Let g(w) = d*w - 6*w + 5*w. Calculate g(q(p)).\n | -2*p**2\n | ibivibiv/math_instruct | |
Let t(i) = 3*i**3 - 11*i**2 - 7*i - 11. Let u(a) = a**3 - 5*a**2 - 3*a - 5. Let h(k) = -4*t(k) + 9*u(k). Calculate h(1).\n | -4\n | ibivibiv/math_instruct | |
Let p be (-7 + 6)/(1/(-5)). Find the third derivative of -91*o**p + 173*o**5 + 23*o**2 - 89*o**5 wrt o.\n | -420*o**2\n | ibivibiv/math_instruct | |
What is (-129)/172*24/2?\n | -9\n | ibivibiv/math_instruct | |
Simplify ((y*((y/y**2)/y)/y)**(-38)*(y**(-4)/y)/(y*y**(2/7)))**(4/5) assuming y is positive.\n | y**(1952/35)\n | ibivibiv/math_instruct | |
What is the thousands digit of 35050?\n | 5\n | ibivibiv/math_instruct | |
Collect the terms in -2 - 14*t**2 - 1 + 2 + 5*t**2.\n | -9*t**2 - 1\n | ibivibiv/math_instruct | |
Let q = 0.6 + -0.1. Let o = -0.03 + 24.03. Let u = o - 25. What is the smallest value in q, u, -0.8?\n | u\n | ibivibiv/math_instruct | |
Is -3 < 4614?\n | True\n | ibivibiv/math_instruct | |
List the prime factors of 718854.\n | 2, 3, 119809\n | ibivibiv/math_instruct | |
Suppose 15 = -u + 3*n, 5*n + 36 = 2*u + 10*n. Sort -1, 4, -17, u, -4 in decreasing order.\n | 4, u, -1, -4, -17\n | ibivibiv/math_instruct | |
Round 6109.4662 to zero dps.\n | 6109\n | ibivibiv/math_instruct | |
Do -5871 and -1 have different values?\n | True\n | ibivibiv/math_instruct | |
Simplify (5*(sqrt(110)/sqrt(160) + sqrt(11) + -4*sqrt(11)*-2 + sqrt(11)) - (4 + sqrt(704) + sqrt(704) + 1 + 3)) + -3.\n | -11 + 141*sqrt(11)/4\n | ibivibiv/math_instruct | |
(-1 + (-133)/(-147))*(-6 - -3)\n | 2/7\n | ibivibiv/math_instruct | |
Which is the third smallest value? (a) 4 (b) 0.73 (c) 0 (d) 146464\n | a\n | ibivibiv/math_instruct | |
Let r = 0 + 1. Let u = 0.028 + 27.972. Let w = u + -29. What is the third biggest value in r, -0.1, w?\n | w\n | ibivibiv/math_instruct | |
Rearrange -61 + 10*n**2 - 6*n**2 + 10 - 3*n**2 + 2*n to d + v*n**2 + a*n and give d.\n | -51\n | ibivibiv/math_instruct | |
Let p = -11 - -27. Let l be 7/(-9) + 1 - 936/(-162). Let z = p - l. Calculate the greatest common divisor of z and 20.\n | 10\n | ibivibiv/math_instruct | |
Calculate the remainder when 65919 is divided by 16.\n | 15\n | ibivibiv/math_instruct | |
What is prob of picking 4 o when four letters picked without replacement from {z: 1, o: 12, w: 5}?\n | 11/68\n | ibivibiv/math_instruct | |
Solve 258*x = 255*x + 17*z + 58, 35*x - 74*x + 38*x - 5*z + 30 = 0 for x.\n | 25\n | ibivibiv/math_instruct | |
Evaluate (1/2)/(1205/(-9640)).\n | -4\n | ibivibiv/math_instruct | |
Is -2 bigger than 1.31?\n | False\n | ibivibiv/math_instruct | |
Simplify (r**(-1/9)/((r/((r/(r*((r*r*r**17)/r)/r))/r*r))/r))/(r**(-2/23)/r**(-3/17)) assuming r is positive.\n | r**(-60529/3519)\n | ibivibiv/math_instruct | |
Rearrange -a**3 - 4*a**2 - 8*a + 174 + a**2 - 172 to l*a**3 + b*a**2 + v + f*a and give f.\n | -8\n | ibivibiv/math_instruct | |
Find the third derivative of -4826070*y**4 - 10*y**3 - 2*y**2 + 13145459.\n | -115825680*y - 60\n | ibivibiv/math_instruct | |
How many minutes are there between 11:49 PM and 7:42 AM?\n | 473\n | ibivibiv/math_instruct | |
Let a(i) = 42*i - 3. Let w be a(3). Suppose -5*d - c = -d - 241, c - w = -2*d. Calculate the remainder when d is divided by 31.\n | 28\n | ibivibiv/math_instruct | |
Let v(o) be the second derivative of -1/20*o**5 - 10*o - 5/6*o**3 + 1/2*o**2 + 7/12*o**4 + 0. What is the units digit of v(6)?\n | 7\n | ibivibiv/math_instruct | |
Let n = -7 + 9. Suppose -n*p + 22 - 6 = 0. What are the prime factors of p?\n | 2\n | ibivibiv/math_instruct | |
((-1)/(-4))/((-9)/(-4))*-3\n | -1/3\n | ibivibiv/math_instruct | |
Solve 91*h = -146 - 127 for h.\n | -3\n | ibivibiv/math_instruct | |
Calculate the greatest common divisor of 104 and 3389672.\n | 104\n | ibivibiv/math_instruct | |
Does 7 divide 578?\n | False\n | ibivibiv/math_instruct | |
Suppose 5*y = -111*x + 106*x - 10, -x - 4 = 0. What is the fourth biggest value in 9, -6, -3, y?\n | -6\n | ibivibiv/math_instruct | |
Let z be -3 - ((-4)/2 - (0 + 1)). Suppose -5*j = 2*x - 13931, z*j - 13940 = -5*j - 5*x. Is j prime?\n | False\n | ibivibiv/math_instruct | |
What comes next: -270, -891, -1920, -3357, -5202?\n | -7455\n | ibivibiv/math_instruct | |
Is 37 a factor of 1980885340?\n | False\n | ibivibiv/math_instruct | |
What are the prime factors of 5590?\n | 2, 5, 13, 43\n | ibivibiv/math_instruct | |
Calculate the common denominator of -23/165688660 and -81/66275464.\n | 331377320\n | ibivibiv/math_instruct | |
Let c be -1*(-32)/20*-5. Let o = c + 46. Is o a prime number?\n | False\n | ibivibiv/math_instruct | |
Let p = 159/11 - 455/33. Solve -2/3*n + 4/3 - p*n**2 = 0.\n | -2, 1\n | ibivibiv/math_instruct | |
Matilda had 20 chocolate bars and shared them evenly amongst herself and her 4 sisters. When her father got home from work, he was upset that they did not put aside any chocolates for him. They felt bad, so they each gave up half of their chocolate bars for their father. Their father then gave 3 chocolate bars to their... | Matilda and her sisters each got 20 chocolate bars / 5 people = 4 chocolate bars/person.
Each person gave 1/2 * 4 bars/person = 2 bars/person to their father.
Their father received 2 bars/person * 5 people = 10 chocolate bars.
Their father had 10 bars - 3 bars - 2 bars = 5 bars.
The answer is 5 | ibivibiv/math_instruct | |
Let d(l) = 1. Let k(y) = 2*y + 5. Let t(a) = 5*d(a) - k(a). Let w(r) = -r. Let m(b) = -t(b) + 4*w(b). Let c(j) = -2*j**2. Determine m(c(n)).\n | 4*n**2\n | ibivibiv/math_instruct | |
(162/153090*135)/(((-4)/(-34))/2)\n | 17/7\n | ibivibiv/math_instruct | |
What is the next term in 188, 746, 1670, 2954, 4592, 6578, 8906?\n | 11570\n | ibivibiv/math_instruct | |
Expand (-10*j**3 - 6*j**3 - 5*j**3 + (-j**2 + 2*j**2 + j**2)*(j + 0*j + j) + 2*j - 2*j - 2*j**3)*(-2 + 4 - 1).\n | -19*j**3\n | ibivibiv/math_instruct | |
Expand -5 + 2*w - 2 + 3 + (3*w - 2*w + 2*w)*(-1 + 1 + 2) + 5*w - 2*w - 4*w.\n | 7*w - 4\n | ibivibiv/math_instruct | |
b"What is the yth term of 6921, 6920, 6919, 6918, 6917?\n" | -y + 6922\n | ibivibiv/math_instruct | |
Let o(f) = -f**2 - 9*f - 2. Let x be o(-8). Let v(i) = 1 + 0*i - i**3 + 0 - x*i + i**2 + 6*i**2. Give v(6).\n | 1\n | ibivibiv/math_instruct | |
Let m be (-22)/(-4) + (-2)/4. Let c = 9 - 4. Suppose -c*f = -f - 160. Calculate the greatest common divisor of f and m.\n | 5\n | ibivibiv/math_instruct | |
Simplify (-1*(1 + 2*(2 + (((-2*sqrt(24))/sqrt(2))/sqrt(6) - (sqrt(200) + 1 + sqrt(128) + (2*sqrt(128) + sqrt(128) + sqrt(128) - sqrt(128)))))))**2.\n | -528*sqrt(2) + 15497\n | ibivibiv/math_instruct | |
Let n(a) = a**2 + a + 6. Let l be n(0). Suppose -9*t + 6*t + l = 0. Solve -t*k + 3*m = -15, -6*m = -m + 15 for k.\n | 3\n | ibivibiv/math_instruct | |
What is 7/(364/8) + (-126)/(-26)?\n | 5\n | ibivibiv/math_instruct | |
Let g(i) = 2*i**2 + 16*i - 8. Let c be g(12). Suppose -471*z = -c*z + 308. Calculate the greatest common divisor of 44 and z.\n | 44\n | ibivibiv/math_instruct | |
Is -1126/724607 equal to -1?\n | False\n | ibivibiv/math_instruct | |
Let x = 80 + -50. Suppose -26*f + 21*f = -x. Let w(h) = 2*h - 6. What is the lowest common multiple of f and w(5)?\n | 12\n | ibivibiv/math_instruct | |
Let -2*j**3 - 122*j**2 - 238*j - 118 = 0. Calculate j.\n | -59, -1\n | ibivibiv/math_instruct | |
336/(-16)*980/(-5145)\n | 4\n | ibivibiv/math_instruct | |
What is the second derivative of 29*r*z**2 + 2*r*z - 241*r - 116*z**2 - 2*z + 1 wrt z?\n | 58*r - 232\n | ibivibiv/math_instruct | |
Let q be -1*(0 + -3)/3. Let z(d) be the first derivative of 4/3*d + 1/9*d**3 + q - 2/3*d**2. Factor z(u).\n | (u - 2)**2/3\n | ibivibiv/math_instruct | |
Suppose -4*x + 5*b - 171 = 0, -5*x - 2*b - 206 = -x. Let g be (-2)/7 - 14/x. Let y be (g - 16 - -1)*-3. What is the greatest common divisor of y and 18?\n | 9\n | ibivibiv/math_instruct | |
Solve 6*b - 17*d + 19 = -18*d, d = -5*b - 15 for b.\n | -4\n | ibivibiv/math_instruct | |
In base 16, what is -b804 + -1d?\n | -b821\n | ibivibiv/math_instruct | |
Which is the fifth smallest value? (a) -1991 (b) -3/7 (c) -4 (d) -5 (e) -0.2 (f) 1/5\n | e\n | ibivibiv/math_instruct | |
Simplify (((v**(-1/2)*v*v)/(v**(-3/2)/v))/((v*v**(-6))/v*v**0))/(((v/((v/v**(-2/19))/v))/(v/v**(-3/5)))/(v**(7/5)*v*v*v**(2/7))) assuming v is positive.\n | v**(1914/133)\n | ibivibiv/math_instruct | |
What is the tens digit of 1349?\n | 4\n | ibivibiv/math_instruct | |
Let u(g) be the first derivative of -8*g**3/3 - 927*g**2 + 464*g + 1063. Let u(n) = 0. What is n?\n | -232, 1/4\n | ibivibiv/math_instruct | |
List the prime factors of 11189367.\n | 3, 7, 73, 811\n | ibivibiv/math_instruct | |
What is 844915856 to the power of 1/6, to the nearest integer?\n | 31\n | ibivibiv/math_instruct | |
Is 51077621 a prime number?\n | False\n | ibivibiv/math_instruct | |
Which is greater: 1981.25 or 3?\n | 1981.25\n | ibivibiv/math_instruct | |
Collect the terms in -23*u + 94802*u**3 + 64*u - 41*u.\n | 94802*u**3\n | ibivibiv/math_instruct | |
What is next in -902, -909, -916?\n | -923\n | ibivibiv/math_instruct | |
Solve 0 = -3*h - 3*f + 94 - 52, 0 = -h - 2*f + 23 for h.\n | 5\n | ibivibiv/math_instruct | |
Let m = 2.306 + -0.006. Let x = -2 + m. Suppose -q - 4 = -2*q. Which is the smallest value? (a) 0 (b) q (c) x\n | a\n | ibivibiv/math_instruct | |
Evaluate (14/(-112))/(18/(-24)).\n | 1/6\n | ibivibiv/math_instruct | |
If $\begin{vmatrix} a & b \\ c & d \end{vmatrix} = X then find
\[\begin{vmatrix} a - c & b - d \\ c & d \end{vmatrix}. The answer is 5. What is the value of unknown variable X? | To solve this problem, we need to determine the value of X, which represents the determinant of the matrix.
Let's break down the information given:
Determinant of the matrix: $\begin{vmatrix} a & b \\ c & d \end{vmatrix} = X$
We need to find the determinant of the matrix $\begin{vmatrix} a - c & b - d \\ c & d \end{vma... | ibivibiv/math_instruct | |
(-95)/(-133)*(-1)/(-5)\n | 1/7\n | ibivibiv/math_instruct |
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