w**2/2 - 504*w + 3. What is the first derivative of c(a) wrt a?
28*a**3 + 3*a**2 - 68*a
What is the third derivative of 68*q**2 + 791*q**6 + 3*q**3 + 81*q**6 + 284*q**6 - q**3 - 445*q**2 wrt q?
138720*q**3 + 12
Suppose 111 + 61 = 103*h - 34. Let j(s) be the first derivative of 26/5*s**5 + 0*s**3 + 0*s**4 + 2*s**h + 0*s + 10. Find the second derivative of j(u) wrt u.
312*u**2
Let z(a) be the second derivative of 88/3*a**3 - 39 + 2*a - 106*a**2. What is the first derivative of z(w) wrt w?
176
Let d(l) = -23*l**3 - l**2 + l - 1. Let q(f) = 47*f**3 + 12*f**2 - 177*f - 4069. Let i(z) = 2*d(z) + q(z). Find the first derivative of i(u) wrt u.
3*u**2 + 20*u - 175
Let y(w) be the first derivative of -39*w**5/5 + 13*w**4 - 796*w**3/3 + w**2/2 - 2*w + 5219. Find the third derivative of y(p) wrt p.
-936*p + 312
Let c(y) = -1793*y**2 - 835*y + 53. Let n(q) = q - 26. Let x(r) = -c(r) - 2*n(r). What is the second derivative of x(t) wrt t?
3586
Suppose 2*g = -15*g + 5117. Find the second derivative of 330*k - 572*k + 26*k**2 + g*k wrt k.
52
Let m(x) be the third derivative of -1217*x**7/210 + 263*x**3/3 + 1072*x**2. What is the derivative of m(o) wrt o?
-4868*o**3
Let z(o) be the second derivative of -101*o**4/12 - 10*o**3/3 + 3081*o**2/2 - 4634*o. Differentiate z(i) wrt i.
-202*i - 20
Let x(l) = -l**3 - 2*l - 1. Let n be x(-1). Let d be (-10)/(-2) + -6 - (n + -9). What is the derivative of -14 - d - 7*u**4 + 0 + u**4 wrt u?
-24*u**3
Let z(t) be the first derivative of -144*t**3 - 1448*t - 152. Find the first derivative of z(b) wrt b.
-864*b
Let p = 108 - 106. What is the first derivative of -7 + 5 + 7 - 34*i**p + 9 wrt i?
-68*i
What is the third derivative of 448 - 9*j**2 - 469*j**4 + 8*j**2 - 7*j + 2*j**2 + 7*j wrt j?
-11256*j
Let j(x) = x + 1. Let y(o) = o**2 + 3. Let t be 29/(-116) + 161/4. Let s = t - 38. Let q(k) = s*j(k) + y(k). Differentiate q(h) with respect to h.
2*h + 2
Suppose 4*w + 3*n + 5 - 25 = 0, 3*w = 3*n - 6. What is the third derivative of -3279*d**6 + 1508*d**6 + 1596*d**6 - 141*d**w wrt d?
-21000*d**3
Let m(p) be the third derivative of 0*p**6 + 113*p**2 + 0*p + 1/15*p**7 + 89/6*p**3 + 0*p**5 + 0 + 0*p**4. What is the first derivative of m(h) wrt h?
56*h**3
Let b be 2/5 + (-236)/(-10). Let l = b + -20. What is the second derivative of -16*w + 0*w**4 + 2*w**4 + 3*w**l + 13*w**4 wrt w?
216*w**2
Let p(q) be the third derivative of -559*q**6/120 - 295*q**4/6 + 937*q**2. Find the second derivative of p(o) wrt o.
-3354*o
Let f = 1999 + -1994. Let z(h) be the third derivative of 0 - 19*h**2 + 1/15*h**f + 0*h**3 + 0*h - 1/4*h**4. Find the second derivative of z(m) wrt m.
8
Let o(s) be the first derivative of 29*s**7/840 - 43*s**4/12 + 10*s**3/3 - 5*s + 128. Let t(b) be the third derivative of o(b). Differentiate t(f) wrt f.
87*f**2
What is the second derivative of 10101*c**2 + 10506*c**2 - 419 - 2*c - 21609*c**2 wrt c?
-2004
Let y(v) be the second derivative of 1/10*v**5 + 31 + 3/2*v**2 + 2*v - 7/12*v**4 + 7/3*v**3. What is the second derivative of y(c) wrt c?
12*c - 14
Find the third derivative of 0 + 480*m**3 - 998*m**3 + 3 - 603*m**3 - 166*m**2 wrt m.
-6726
Let g(x) be the third derivative of -x**8/336 - 205*x**5/12 + 22*x**4/3 + x**3/3 + 42*x**2 + 9. What is the second derivative of g(u) wrt u?
-20*u**3 - 2050
Let c(h) = -h**2 - 23*h - 25. Let u be c(-15). Find the second derivative of -1156*x**3 - 1151*x**3 + 2307*x**3 - u*x**4 + 49*x wrt x.
-1140*x**2
Let m(s) be the first derivative of -2107*s**5/5 + 591*s**2/2 - 3*s - 183. Find the second derivative of m(b) wrt b.
-25284*b**2
Suppose -5*t = c + 4*c + 290, c + 54 = -5*t. Let s = c + 94. Find the second derivative of -26*p**5 + 2*p + 4 + s*p**5 - 4 wrt p.
180*p**3
Suppose -4*d - 7 = t - 1, 4*t = -3*d + 2. Find the second derivative of 3681*y**3 + t - 3686*y**3 - 13 + 3*y - 2*y**5 wrt y.
-40*y**3 - 30*y
Suppose -o - 40 = -4*a, -5*a + 50 = -0*a - 5*o. Let f be a/60 - (525/(-18))/5. Differentiate -9*d + 8*d - 26 + d + f*d**2 wrt d.
12*d
Suppose -12 = 112*m - 118*m. Find the second derivative of 55*z**m + 27*z + 13*z - 8*z - 19*z**2 wrt z.
72
Let i(d) be the first derivative of -156*d**5/5 - 31*d**2/2 + 11*d + 654. What is the second derivative of i(g) wrt g?
-1872*g**2
Let v(x) be the first derivative of 1235*x**3/3 - 836*x - 1447. What is the first derivative of v(w) wrt w?
2470*w
Let z(f) be the second derivative of -1153*f**4/12 - 290*f**3/3 - 889*f. Find the second derivative of z(x) wrt x.
-2306
Find the second derivative of -392*x - 3 + 265*x**3 - 590*x**3 + 1328*x**3 wrt x.
6018*x
Let m be 93 - 5/(20/(-16)). Let o = -85 + m. Find the second derivative of 27*x**3 - 33*x + 14*x - 4*x**3 - o*x wrt x.
138*x
Let i(q) be the third derivative of -9559*q**7/210 - 61*q**5/60 - q**4/8 - 2*q**3/3 - 4*q**2 + 764*q. What is the third derivative of i(l) wrt l?
-229416*l
Let n(k) be the third derivative of -144*k**2 + 3/2*k**3 + 0 + 1/12*k**5 - 1/24*k**6 - 1/6*k**4 + 0*k. Find the second derivative of n(a) wrt a.
-30*a + 10
Let x(b) be the first derivative of 1406*b**5/5 + b**4/4 + 2*b**2 - 997*b + 13159. Find the second derivative of x(r) wrt r.
16872*r**2 + 6*r
Differentiate -2*i - 426 - 96 - 361 - 1631*i**2 with respect to i.
-3262*i - 2
What is the second derivative of -316*r + 221*r**4 - 1648*r**4 - 257*r**4 + 49*r wrt r?
-20208*r**2
Let j = -110 - -166. Suppose 51*a - 43*a - j = 0. Find the third derivative of -a*l**2 + 4*l + 7*l**2 + 2*l**2 - 31*l**4 + 2*l wrt l.
-744*l
What is the third derivative of 4*u**2 + 63*u + 134 - 22*u - 46*u - 10537*u**3 wrt u?
-63222
Find the third derivative of 400*r**4 + 37753598*r - 359*r**2 - 37753598*r - 847*r**2 wrt r.
9600*r
Let z(g) = 3*g**2 - 11*g - 2. Let i be z(4). Find the second derivative of 0*d**i + 3 + 27*d - 3 - 6*d**2 wrt d.
-12
Suppose -42*f + 590 = -3148. Find the first derivative of 9 + 38 - f*i + 46 - 9 wrt i.
-89
What is the third derivative of -74*i**5 - 510 + 1028 + 683*i**2 - 518 wrt i?
-4440*i**2
Let y(l) be the third derivative of -2*l**6/15 - 31*l**5/60 - 349*l**4/8 - 21*l**2 - 41. What is the second derivative of y(q) wrt q?
-96*q - 62
Let r(l) = 61 - 14*l + 9*l + 2*l. Let s be r(7). Find the second derivative of 135*u - 46*u - 42*u + 29*u**2 - s*u wrt u.
58
Suppose 64*l - 299 = 41*l. Find the second derivative of -3*a**2 + 20 + l - 10*a**5 - 28 - a**5 - 9*a wrt a.
-220*a**3 - 6
Let t(x) be the first derivative of -493*x**3 + 1323*x**2/2 + 677. Find the second derivative of t(n) wrt n.
-2958
Let q(o) be the third derivative of 0*o**6 + 0*o**5 + 1/8*o**4 - 2/105*o**7 + 7/6*o**3 + 0 + 0*o - 7*o**2. What is the derivative of q(a) wrt a?
-16*a**3 + 3
Let a(s) be the second derivative of 8 + 0*s**2 + 94/3*s**3 - s - 40/3*s**4. Find the second derivative of a(n) wrt n.
-320
Let f(u) be the third derivative of -u**7/210 - u**6/60 + 43*u**5/10 - 1033*u**4/8 - 5*u**2 - 2*u - 219. What is the second derivative of f(s) wrt s?
-12*s**2 - 12*s + 516
What is the derivative of -10659*j - 534 - 4*j**2 + 5318*j - 178 + 5316*j wrt j?
-8*j - 25
Let y be 12/42 + 64/(-28) - -4. Differentiate 173*k**y - 23 - 41 + 4 - 14 - 13 wrt k.
346*k
Find the second derivative of 486*y**2 - 672*y - 18*y + 2594*y**2 - 71*y - 211*y wrt y.
6160
Let a(l) = -l**2 + l. Let z be (3/9)/(2/24). Let u(y) = 40*y**2 + 4*y + 45. Let k(m) = z*a(m) - u(m). Find the first derivative of k(o) wrt o.
-88*o
Let d(j) = -21*j**3 - 5*j**2 - j - 47. Let a(r) = -r**3 + r**2 + r. Let q = -460 + 459. Let m(w) = q*d(w) - 5*a(w). What is the derivative of m(i) wrt i?
78*i**2 - 4
Let s(n) be the second derivative of 97*n**6/10 - 1289*n**2/2 + 31*n + 25. Differentiate s(y) with respect to y.
1164*y**3
Suppose z + 3 = 3. Let t(p) be the second derivative of 0 + 3/4*p**5 - 7*p + z*p**2 + 0*p**3 + 1/3*p**4. What is the third derivative of t(h) wrt h?
90
Let a(m) = 4479*m**2 + 7*m - 4782. Let d(h) = 2234*h**2 + 3*h - 2391. Let b(r) = 3*a(r) - 7*d(r). Find the first derivative of b(z) wrt z.
-4402*z
Let t(o) be the second derivative of 224*o**6/5 + 491*o**4/6 - o**2/2 - 34*o - 1. What is the third derivative of t(l) wrt l?
32256*l
Let b(m) = -7*m**4 + 55*m**3 - 10*m**2 - 5. Let w(g) = -5*g**4 + 54*g**3 - 9*g**2 - 5. Let a(j) = -3*b(j) + 4*w(j). What is the third derivative of a(s) wrt s?
24*s + 306
Let