 first derivative of o**8/120 + o**4/8 + 7*o**3/3 - 13. Let c(l) be the third derivative of r(l). Differentiate c(g) wrt g.
56*g**3
Let h(k) be the first derivative of -k**8/42 + 5*k**5/12 - 7*k**2 - 28. Let f(q) be the second derivative of h(q). What is the third derivative of f(b) wrt b?
-480*b**2
Let r(a) be the third derivative of -109*a**7/210 - 47*a**3/2 + 29*a**2. What is the first derivative of r(w) wrt w?
-436*w**3
Let t(f) be the second derivative of -83*f**4/12 + f**3/2 - 279*f**2/2 - 179*f. Differentiate t(i) wrt i.
-166*i + 3
Let p(s) be the first derivative of -138*s**5/5 - 2*s**3/3 + 134*s + 739. Find the third derivative of p(g) wrt g.
-3312*g
Let a(x) be the first derivative of 4*x**5/15 + 7*x**3/2 - 4*x**2 - 35. Let k(w) be the second derivative of a(w). Differentiate k(j) with respect to j.
32*j
Suppose 3*o - 17 = -q, -5*q = -0*o - o - 5. What is the second derivative of -8*u + u + 5*u**q - u wrt u?
10
Let w(p) = -p**2 + 10*p + 16. Let q(c) = -c**2 + 16*c - 17. Let u be q(14). Let i be w(u). Differentiate -18*j**3 + i*j**3 + 3 + 12*j**3 wrt j.
-3*j**2
Let c(y) = y**3 - 10*y**2 + 10*y - 3. Let f be c(9). Suppose -2*s + f = 2. What is the second derivative of 23*q**2 + q - 5*q**s - 10*q**2 wrt q?
16
Suppose 8 = 3*i - 1. What is the second derivative of -2*x - 3*x - 10*x**i + 47 - 47 wrt x?
-60*x
Let m(q) be the third derivative of 379*q**4/12 + 41*q**3/6 - 557*q**2. Differentiate m(v) with respect to v.
758
Let u(i) be the first derivative of 551*i**5/5 + 177*i**2/2 + 2*i - 506. What is the second derivative of u(y) wrt y?
6612*y**2
Find the second derivative of 115*s - 113*s + 11*s**4 - 11 + 17*s**2 + 9*s**5 - 11*s**4 + s**2 wrt s.
180*s**3 + 36
Let x = 19 - 15. Suppose -3*w - 19 = -4*z, -20 = -x*z + 4*w - 4. Differentiate z + 5 + 5*k - 4 with respect to k.
5
Let j(z) be the second derivative of 0 + 11/6*z**3 + 11*z + 4*z**2. What is the derivative of j(v) wrt v?
11
What is the derivative of -15*b**4 - 22*b**4 - 173 - 105*b**4 - 7*b + 7*b wrt b?
-568*b**3
Let a = -11 + 13. Find the first derivative of 0*w**2 - 2 - 9 + 0 - w**a wrt w.
-2*w
Let z = -9 - -12. Suppose -258 = -5*g + 5*m + 137, -g + z*m = -81. Find the first derivative of 76 - s - g + s + s**2 wrt s.
2*s
Let s be 8/(14/3 + -4). Suppose -s + 0 = -3*m. Find the second derivative of -4*n**m - 10*n + n**4 + 4*n**4 + 7*n**4 wrt n.
96*n**2
Let c(m) = 51*m**2 + 11*m - 18. Let k(t) = -16*t**2 + 2*t - t**2 - 6*t - 53 + 59. Let r(g) = 4*c(g) + 11*k(g). What is the first derivative of r(b) wrt b?
34*b
What is the second derivative of 49 - 18*g**4 + g + 6*g**4 + 29*g**4 wrt g?
204*g**2
Suppose 3*k + 4 = 5*k. Suppose -k*z = -z - 2. What is the third derivative of -4*a**z - 3*a**2 + a**3 + a**3 - 2*a**2 wrt a?
12
What is the second derivative of -8*b**4 - 12*b**5 + 8*b**4 - 120*b**2 + 107*b + 131*b**2 wrt b?
-240*b**3 + 22
Let m(l) be the third derivative of 43*l**4/12 + 46*l**3/3 + 304*l**2. What is the first derivative of m(z) wrt z?
86
Let l(g) = -174*g**3 + 3*g**2 + 3*g + 433. Let p(a) = 174*a**3 - 4*a**2 - 4*a - 435. Let s(n) = 4*l(n) + 3*p(n). What is the derivative of s(b) wrt b?
-522*b**2
Find the third derivative of 1 - 20*s**2 - 45*s**2 + 100*s**2 + 149*s**6 wrt s.
17880*s**3
Let c(z) = 190*z**3 + 16*z**2 - 4*z + 4. Let p(w) = w**3 + w - 1. Let f(r) = -c(r) - 4*p(r). Find the third derivative of f(a) wrt a.
-1164
Let c = 464/375 + 12/125. Let b(m) be the second derivative of -3*m**2 + 0 + c*m**3 - 2*m. What is the first derivative of b(v) wrt v?
8
Let s = -118 - -123. Let d(q) be the third derivative of 0*q**3 + 5/24*q**4 - 1/20*q**s - 3*q**2 + 0 + 0*q. Find the second derivative of d(l) wrt l.
-6
What is the derivative of -40*j**2 - 222 + 77*j**2 - 37*j**2 - 140*j**3 wrt j?
-420*j**2
Find the first derivative of -102 - 98 + 176*c - 98 + 46 wrt c.
176
Let m be 32/6 - (-14)/(-42). What is the second derivative of 56*x**5 - 36*x**5 - 41*x**m - 29*x wrt x?
-420*x**3
Let p(a) be the second derivative of 44*a**5/5 - 159*a**2/2 - a - 5. Differentiate p(u) with respect to u.
528*u**2
Let s(n) be the second derivative of -n**5/10 - n**4/12 + 115*n**3/6 - 59*n. What is the second derivative of s(l) wrt l?
-12*l - 2
Find the third derivative of 49*c**4 + 22*c**4 - 2665*c**5 + 2667*c**5 - 15 + 19*c**4 + c**2 wrt c.
120*c**2 + 2160*c
Let k(l) = -l**3 + 13*l**2 + 14*l + 2. Let p be k(14). What is the third derivative of 2*a**2 + 3*a**p - 14*a**5 + 15*a**5 wrt a?
60*a**2
Suppose -r + 57 = 6. What is the first derivative of r + 63 + 56 - 191 + 20*t wrt t?
20
Let g be (-3)/(-15) - 14/(-5). Suppose 0 = -g*d + 4*d - 10. Find the first derivative of 8 + 1 - d + 7*h wrt h.
7
Differentiate 4*z**2 - 98 - 3*z**2 + 57*z**2 with respect to z.
116*z
Let k = 51 - 40. Find the second derivative of -12*n + 3*n + k*n**3 - 2*n + 3*n**3 wrt n.
84*n
Find the third derivative of 4*q**2 - 22*q**2 + 280*q**2 + 199*q**3 wrt q.
1194
Let s = 206 - 200. Let k(c) be the third derivative of 0*c**4 + 1/20*c**5 - 1/20*c**s + 5*c**2 + 0*c**3 + 0*c + 0. What is the third derivative of k(y) wrt y?
-36
Let j(l) be the first derivative of 0*l**3 + 1 + 7/2*l**4 + 7*l + 0*l**2. Differentiate j(g) wrt g.
42*g**2
What is the third derivative of -16*r**2 - 2*r**2 + 717*r**3 + r**2 - 16*r**2 + 6 wrt r?
4302
Let q(x) be the second derivative of 97*x**8/28 - 149*x**4/12 - 74*x + 2. What is the third derivative of q(u) wrt u?
23280*u**3
Find the first derivative of 3*f**2 + f - 156*f + 461 + 592 - 159 + 74*f wrt f.
6*f - 81
Let u = 14 + -11. What is the third derivative of -3*q**u - q**2 - q**2 - 3*q**2 wrt q?
-18
Find the second derivative of 4*j**5 + 52*j - 1 + 41*j**4 - 4*j**5 + 9*j**5 - 40*j**4 wrt j.
180*j**3 + 12*j**2
Let p(r) be the second derivative of 22/15*r**6 + 0*r**5 + 29*r + 0*r**4 + 31/2*r**2 + 0*r**3 + 0. Differentiate p(s) with respect to s.
176*s**3
Let a be (1/4*-10)/((-3)/36). Differentiate 11*x**2 - 24*x**2 + 3 + a*x**2 wrt x.
34*x
Let y(j) = 3*j. Let t(o) = 93*o**3 + 18*o - 184. Let d(g) = -t(g) + 6*y(g). What is the first derivative of d(c) wrt c?
-279*c**2
Let f(m) = 2*m**4 - m**3 - m + 2. Let w(p) = 366*p**4 - p**3 + 154*p**2 - p + 2. Let t(l) = -f(l) + w(l). Find the third derivative of t(d) wrt d.
8736*d
Let s(p) = p**3 - 10*p**2 + 16*p + 3. Let g be s(8). What is the second derivative of -3*d**3 + 2*d**3 - 20*d**g + 40*d - 13*d wrt d?
-126*d
Let g(b) = b**3 - b**2 - 2*b + 1. Let o(t) = 16*t**3 - t**2 + 3*t + 52. Let u(n) = -2*g(n) - o(n). Find the second derivative of u(d) wrt d.
-108*d + 6
Let i(z) be the first derivative of 35*z**6/2 - z**4/2 + 140*z**3/3 + 391. Find the third derivative of i(c) wrt c.
6300*c**2 - 12
Suppose 0 = 2*v + 8 - 24. Let h = 10 - v. What is the second derivative of -5*f - 2*f**2 + f**h + 4*f wrt f?
-2
Find the third derivative of 404*n**3 - 7*n**2 - 53*n**2 - 120*n**2 - 539*n**3 wrt n.
-810
Let k = 7421/12 + -618. Let v(y) be the second derivative of -k*y**4 + 0 + 0*y**3 - 3*y + 0*y**2 + 3/10*y**5. What is the third derivative of v(p) wrt p?
36
Differentiate -6*v**2 - 28*v - v**4 + 141 + 3*v**4 + 28*v with respect to v.
8*v**3 - 12*v
Let m(j) be the second derivative of j**4/4 + 19*j**3/3 - j**2/2 - 186*j. What is the derivative of m(w) wrt w?
6*w + 38
Let x(u) be the first derivative of u**6/15 + 7*u**4/12 + 9*u**2 - 6. Let o(z) be the second derivative of x(z). What is the second derivative of o(g) wrt g?
48*g
Let f(u) = -18*u + 72. Let k be f(4). Let r(z) be the first derivative of -10/3*z**3 - 7*z + k*z**2 + 3. Find the first derivative of r(b) wrt b.
-20*b
Let p(t) be the second derivative of 9*t**7/2 + t**6/30 - 73*t**4/12 - t**3/6 + 561*t. Find the third derivative of p(m) wrt m.
11340*m**2 + 24*m
Let p(w) be the first derivative of -7*w**4/6 - 2*w**3 + w + 16. Let z(c) be the first derivative of p(c). Find the second derivative of z(y) wrt y.
-28
Let t(w) = 13*w**3 + 21*w. Let r(g) = 19*g**3 + 32*g. Suppose 4*m - m - 15 = 0. Let b(p) = m*r(p) - 7*t(p). Find the second derivative of b(z) wrt z.
24*z
Let v = -24 - -42. Suppose 0 = 2*l - 4*f - v, 8*l - 3*l + 3*f = 6. What is the third derivative of -l*u**2 - u - 7*u - 2*u**5 + 8*u wrt u?
-120*u**2
Find the third derivative of 75*i**6 - 251*i**6 + 5*i**2 + 41*i**6 + 30*i**6 wrt i.
-12600*i**3
Let h(f) = -9*f**4 