instruction_seed stringlengths 5 2.9k | response_seed stringlengths 3 9.55k | input stringclasses 1
value | _source stringclasses 1
value |
|---|---|---|---|
Collect the terms in i - 2*i - 5*i.\n | -6*i\n | ibivibiv/math_instruct | |
What is the thousands digit of 547863?\n | 7\n | ibivibiv/math_instruct | |
Let x(q) = 12*q**2 + 35*q + 4. Suppose 37 - 52 = 5*f. Let u be x(f). Is u <= 37?\n | True\n | ibivibiv/math_instruct | |
Solve 8 = 3*b - 4*n + 20, 5*b + n + 20 = 0 for b.\n | -4\n | ibivibiv/math_instruct | |
Let b(r) = 40*r**4 - 5*r**3 - 62*r**2 + 5. Let k(j) = -41*j**4 + 6*j**3 + 61*j**2 - 6. Let h(p) = 6*b(p) + 5*k(p). Find the third derivative of h(w) wrt w.\n | 840*w\n | ibivibiv/math_instruct | |
Let y(a) be the third derivative of -a**5/12 + 15*a**2. Let l(z) = -5*z. Calculate y(l(c)).\n | -125*c**2\n | ibivibiv/math_instruct | |
Calculate prob of sequence cfc when three letters picked without replacement from cfcc.\n | 1/4\n | ibivibiv/math_instruct | |
Factor -2*u**2/11 + 28780*u/11 - 59955602/11.\n | -2*(u - 11863)*(u - 2527)/11\n | ibivibiv/math_instruct | |
Simplify w**(7/8)*w/w**(-2/5) assuming w is positive.\n | w**(91/40)\n | ibivibiv/math_instruct | |
Calculate the highest common divisor of 29 and 493.\n | 29\n | ibivibiv/math_instruct | |
Let d = -0.069 + -1.891. Let m = 0.65 - -0.95. Let u = d + m. Round u to one decimal place.\n | -0.4\n | ibivibiv/math_instruct | |
Let i be (-2)/(-1) - 0 - 2. Let d be 3/6*(-128)/(-2). Solve i = -4*a - d + 12 for a.\n | -5\n | ibivibiv/math_instruct | |
(-31125)/2241*2/(-20)*-6\n | -25/3\n | ibivibiv/math_instruct | |
What is the hundreds digit of 42079?\n | 0\n | ibivibiv/math_instruct | |
What is 504 minutes before 11:46 PM?\n | 3:22 PM\n | ibivibiv/math_instruct | |
Which is the nearest to -0.1? (a) -391 (b) -21 (c) 3/7 (d) 20 (e) -0.02\n | e\n | ibivibiv/math_instruct | |
Convert -30 (base 9) to base 7.\n | -36\n | ibivibiv/math_instruct | |
Collect the terms in -v**2 - 863*v + 3*v**2 + 831*v.\n | 2*v**2 - 32*v\n | ibivibiv/math_instruct | |
Let a = -3078.8 + 2800. Let y = 244 + a. Let n = 39 + y. Round n to the nearest integer.\n | 4\n | ibivibiv/math_instruct | |
Find the third derivative of -1164*d**4 + 3290*d**2 - 2*d.\n | -27936*d\n | ibivibiv/math_instruct | |
Let b be (-16)/48 - (-122)/6. Suppose 0*y + 4*y + b = 0. Put y, 4, -1 in descending order.\n | 4, -1, y\n | ibivibiv/math_instruct | |
Let w(c) = -c - 1. Let d be 8/14 - 3/(-7). Give w(d).\n | -2\n | ibivibiv/math_instruct | |
What is prob of picking 2 z when two letters picked without replacement from buzzzzbuzu?\n | 2/9\n | ibivibiv/math_instruct | |
6*(-6)/(-10)*(-10)/9\n | -4\n | ibivibiv/math_instruct | |
Express -2*l**2 + 2*l**2 - 3*l - 2*l**4 + l + 33 - 2*l**2 + 5 as x*l**2 + h + c*l + i*l**3 + p*l**4 and give x.\n | -2\n | ibivibiv/math_instruct | |
What is next in 126, 316, 532, 786, 1090, 1456?\n | 1896\n | ibivibiv/math_instruct | |
Let u(l) = l**2 - 9*l + 8. Let r be u(8). Suppose s - 4 = -r*s. Let a = -2 + s. Solve a*y + 0 = 2 for y.\n | 1\n | ibivibiv/math_instruct | |
Suppose -4*c = 3*w - 8, -5*c = -w + 5 + 4. What is the third derivative of 3*v**3 + 7*v**4 - 13*v**w - 5*v**2 - 3*v**3 wrt v?\n | -144*v\n | ibivibiv/math_instruct | |
Let n = 34368 - 34368.08. Let t be -1*(2 + 7/(-3)). Which is the third biggest value? (a) t (b) -3/4 (c) n\n | b\n | ibivibiv/math_instruct | |
Suppose -3896 = -14*z + 4574. Which is smaller: z or 603?\n | 603\n | ibivibiv/math_instruct | |
Suppose 5*n - 48 = n. Let u = -8 + n. Suppose -5*r + 17 = 4*k, -2*r - u = -3*k + k. What is the smallest common multiple of 2 and k?\n | 6\n | ibivibiv/math_instruct | |
What is the seventh root of 3954 to the nearest integer?\n | 3\n | ibivibiv/math_instruct | |
Suppose -9 = x - 2*x. What is the remainder when 31 is divided by x/(-6)*22/(-3)?\n | 9\n | ibivibiv/math_instruct | |
What is -50855 less than -0.2?\n | 50854.8\n | ibivibiv/math_instruct | |
What is the fourth smallest value in -1.863, 1, -0.1, 0.5, 2?\n | 1\n | ibivibiv/math_instruct | |
Let b(j) be the first derivative of 190*j**3/3 - 381*j**2 + 8*j + 900. Factor b(d).\n | 2*(d - 4)*(95*d - 1)\n | ibivibiv/math_instruct | |
What is the lowest common multiple of 242326 and 1682450?\n | 1532711950\n | ibivibiv/math_instruct | |
Let g = 7365 + -4868. Is g composite?\n | True\n | ibivibiv/math_instruct | |
Calculate the remainder when 303 is divided by 39.\n | 30\n | ibivibiv/math_instruct | |
What is ((4/(4/(-2)))/(-1))/(58578/907959)?\n | 31\n | ibivibiv/math_instruct | |
List the prime factors of 4145036875.\n | 5, 7, 193, 4909\n | ibivibiv/math_instruct | |
Which is the nearest to -2? (a) -2/5 (b) -0.1 (c) 3/7 (d) 15\n | a\n | ibivibiv/math_instruct | |
Collect the terms in 70*z**2 + 6 - 6.\n | 70*z**2\n | ibivibiv/math_instruct | |
Find p, given that 3*p**4 + 5256*p**3 + 1695360*p**2 - 554305536*p + 8413151232 = 0.\n | -976, 16, 184\n | ibivibiv/math_instruct | |
Simplify (-3 + sqrt(704) + 1)*-4.\n | -32*sqrt(11) + 8\n | ibivibiv/math_instruct | |
Calculate prob of sequence ngn when three letters picked without replacement from fcgcnfcnfggmnccgaffg.\n | 1/228\n | ibivibiv/math_instruct | |
How many minutes are there between 7:55 AM and 10:16 AM?\n | 141\n | ibivibiv/math_instruct | |
Simplify 2 + (-2 + sqrt(1100))**2 + sqrt(11) + -5*sqrt(99)/(sqrt(9) + (sqrt(9) - (sqrt(54)/sqrt(6) - sqrt(9))) - sqrt(9)).\n | -44*sqrt(11) + 1106\n | ibivibiv/math_instruct | |
Let w = 0.18 + 12.82. Let y = w + -18. Put y, -3, -1/13 in increasing order.\n | y, -3, -1/13\n | ibivibiv/math_instruct | |
Let p(n) be the third derivative of 5*n**8/336 + 3*n**7/35 + n**6/10 - 2*n**5/15 + 16*n**2. Find h such that p(h) = 0.\n | -2, 0, 2/5\n | ibivibiv/math_instruct | |
Let u(d) = -1 + 1369*d - 1396*d - 3 + 4. Let g(c) = c**2 - 7*c - 11. Let n be g(9). Let s(r) = 3*r**2 + 2*r**2 - n*r**2. Give u(s(b)).\n | 54*b**2\n | ibivibiv/math_instruct | |
What is the tenth root of 38292561 to the nearest integer?\n | 6\n | ibivibiv/math_instruct | |
Let n(i) = 22*i**3 + i**2 - 4*i + 1. Let h be n(1). Let x = -2 + 7. Solve x*z = -2*k + h, 0 = -2*k + z + 8 for k.\n | 5\n | ibivibiv/math_instruct | |
What is the next term in -45973, -45970, -45965, -45958, -45949, -45938, -45925?\n | -45910\n | ibivibiv/math_instruct | |
What is 48275.3 rounded to the nearest 1000?\n | 48000\n | ibivibiv/math_instruct | |
6175 times 0.1\n | 617.5\n | ibivibiv/math_instruct | |
Express 5 + 46*t - 5 - 121*t as b*t + r and give b.\n | -75\n | ibivibiv/math_instruct | |
Suppose 0 = -2*h + 2 + 2. Let j(p) = -p + 7. Let k be j(5). What is the second derivative of -2*i**h + 2*i + 3*i**2 + 2*i**k wrt i?\n | 6\n | ibivibiv/math_instruct | |
What is the closest to 10/51 in -2, -1, 7?\n | -1\n | ibivibiv/math_instruct | |
Suppose 96 + 78 = 5*y - 3*q, 4*q = 3*y - 111. Let k(a) = -y*a + 12*a - 86 + 88. Let s(w) = -4*w**2. What is k(s(v))?\n | 84*v**2 + 2\n | ibivibiv/math_instruct | |
Let x be -1*6/12*886. Let h = x + 447. Solve 5*q = -h*q - 9 for q.\n | -1\n | ibivibiv/math_instruct | |
Let z(h) = 284*h**2 - 5630*h + 11263. Give z(2).\n | 1139\n | ibivibiv/math_instruct | |
Let g be (-12)/8*4/18*-6. Suppose 8*c - 24 = g*c. Solve 0 = -2*w - 0*w + c for w.\n | 2\n | ibivibiv/math_instruct | |
What are the prime factors of 7745684?\n | 2, 1297, 1493\n | ibivibiv/math_instruct | |
Let 5*q**4 + 970*q**3 - 1965*q**2 - 970*q + 1960 = 0. Calculate q.\n | -196, -1, 1, 2\n | ibivibiv/math_instruct | |
What are the prime factors of 12/18*-3 - -137?\n | 3, 5\n | ibivibiv/math_instruct | |
Suppose 5*b + 0*b - 5*x = 0, 5*b - 2*x = 6. Suppose 3*u + 23 = b*w, 3*w - 36 = -w + 4*u. Suppose w*k = 21 - 9. What is the lowest common multiple of 12 and k?\n | 12\n | ibivibiv/math_instruct | |
Work out -19015 + -2.\n | -19017\n | ibivibiv/math_instruct | |
Calculate prob of picking 1 w, 1 t, 1 o, and 1 a when four letters picked without replacement from aotmwmaawww.\n | 2/55\n | ibivibiv/math_instruct | |
Simplify h**(-9)*h/(h/(h/(h*h**(2/11)*h)))*(h**(-3/5)*h)/(h**(1/4)*h) assuming h is positive.\n | h**(-2427/220)\n | ibivibiv/math_instruct | |
Put -2, 5, -4, 10 in descending order.\n | 10, 5, -2, -4\n | ibivibiv/math_instruct | |
Let a = 1 - -4. Let s(w) = -w**2 + 7*w - 4. Let g be s(a). Let z be (g/(-8))/(2/8). Let f(c) = c - 2. Determine f(z).\n | -5\n | ibivibiv/math_instruct | |
Suppose 0*f - 7*f = 770. Is (f/25 + 8)/((-1)/(-75)) a multiple of 9?\n | True\n | ibivibiv/math_instruct | |
Suppose 0 = -w + 3*w - 2. Let z = 4 + w. Suppose z*t = -4*o + 2*o + 5, 3*t - 31 = -4*o. Does 10 divide o?\n | True\n | ibivibiv/math_instruct | |
Expand (3*t**3 - 6 + 6)*(9449*t**2 + 9*t - 18844*t**2 + 9438*t**2).\n | 129*t**5 + 27*t**4\n | ibivibiv/math_instruct | |
Differentiate 461*s**2*v - 265*s**2 wrt v.\n | 461*s**2\n | ibivibiv/math_instruct | |
Let h(s) = s + 15. Calculate h(11).\n | 26\n | ibivibiv/math_instruct | |
Let m = 44492.0001 + -44495. Let l = 0.4 - -2.6. Let z = m + l. What is z rounded to 4 dps?\n | 0.0001\n | ibivibiv/math_instruct | |
Sort -34547, 4, 0, -5, -525, -4 in decreasing order.\n | 4, 0, -4, -5, -525, -34547\n | ibivibiv/math_instruct | |
Suppose -2*w = -b - 4*b + 48, 8 = b - 2*w. Let y be (5/(b/(-12)))/((-10)/5). Solve 0*z + 5*z = 2*s - 21, -z + s = y for z.\n | -5\n | ibivibiv/math_instruct | |
Does 413 divide 55546043?\n | False\n | ibivibiv/math_instruct | |
Is 662 a multiple of 9?\n | False\n | ibivibiv/math_instruct | |
Find the first derivative of -550*i**3 - 421*i**3 - 169*i**3 - 290*i**3 - 1095*i**3 - 1759 wrt i.\n | -7575*i**2\n | ibivibiv/math_instruct | |
Let r(x) = -18*x - 4*x**2 - 10 + 3*x**2 + 16. Let z be r(-18). Let l be (2 - (-1)/(-1))*z/6. Solve -n = p - 3*n, 3*n = p + l for p.\n | 2\n | ibivibiv/math_instruct | |
Which is the biggest value? (a) 44 (b) -6 (c) 1/4 (d) 12\n | a\n | ibivibiv/math_instruct | |
What is -2 + (-20)/(-9)*(-24)/(-20)?\n | 2/3\n | ibivibiv/math_instruct | |
What is the ninth root of 1224844 to the nearest integer?\n | 5\n | ibivibiv/math_instruct | |
Let v(i) = -15*i**2 - 21*i - 21. Suppose 12*r = 14*r - 8. Let t(a) = -3*a**2 - 4*a - 4. Determine r*v(m) - 21*t(m).\n | 3*m**2\n | ibivibiv/math_instruct | |
Find the second derivative of -3485482*k**5 - 8*k - 23022 wrt k.\n | -69709640*k**3\n | ibivibiv/math_instruct | |
Let y be 18*(4 + (-27)/6). Let i be (-3)/((-54)/(-220)) + (-2)/y. Find the common denominator of 61/30 and 8/i + (-6)/15.\n | 30\n | ibivibiv/math_instruct | |
Put 1, 79678, 4, -1, -0.3, -1/5 in descending order.\n | 79678, 4, 1, -1/5, -0.3, -1\n | ibivibiv/math_instruct | |
What is the eighth root of 28394 to the nearest integer?\n | 4\n | ibivibiv/math_instruct | |
Write an educational piece suited for college students related to the following text snippet:
"# Math Help - determinant question 5
1. ## determinant question 5
if $\begin{vmatrix}
a & b &c \\
d & e &f \\
g&h &k
\end{vmatrix}$
=2
then
$\begin{vmatrix}
f & k-4c &2k+f \\
d & g-4a &2g+d \\
e&h-4b &2h+e
\end{vmatrix}$
=... | The determinant of a matrix is a special number that can be calculated from a square matrix. For a 3x3 matrix, the determinant is found through a series of steps involving minors, cofactors, and the original entries of the matrix. It has several important properties, including being multiplicative, meaning that the de... | ibivibiv/math_instruct | |
Work out -8828 + 0.44780849023.\n | -8827.55219150977\n | ibivibiv/math_instruct | |
Suppose 81 = 3*s - 3*f, 0 = 3*s - 2*f - 3*f - 75. Suppose -s = -w - 5*x, 0*x + x - 44 = -4*w. Solve 3*a = -2*a - w for a.\n | -2\n | ibivibiv/math_instruct | |
Let s(r) = 13*r**2 + r. Let l be s(-1). Suppose 0*o - o = -l. Suppose 4*h - h = -o, -2*h + 564 = 4*p. Is p a prime number?\n | False\n | ibivibiv/math_instruct | |
Solve 7*z + z + 5*z = 0 for z.\n | 0\n | ibivibiv/math_instruct | |
Expand l + 0*l + l + (1 - 1 + 2)*(l - l + l) + 96*l - 100*l + 65*l.\n | 65*l\n | ibivibiv/math_instruct | |
How many minutes are there between 12:48 PM and 10:53 PM?\n | 605\n | ibivibiv/math_instruct | |
Divide 363 by -11.\n | -33\n | ibivibiv/math_instruct |
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