 = 680 - 682. Let s(c) = -45*c**3 - 6*c**2 - 2*c + 72. Let t(b) = h*n(b) + s(b). Find the second derivative of t(k) wrt k.
-270*k
Let x(j) be the first derivative of 310*j**6 - 1024*j**3/3 + 222. Find the third derivative of x(a) wrt a.
111600*a**2
Differentiate 850*k**3 + 4092 - 662*k**3 + 764*k**3 + 743*k**3 with respect to k.
5085*k**2
Let n = 691 - 689. Find the third derivative of 8*q**n - 121 - 23*q**4 - 7*q**2 - 51*q**4 wrt q.
-1776*q
Let n(v) = v**3 - 3*v**2 + 4*v - 7. Let k be n(3). Suppose -2*s - o = -7, -k*s - o = 1 - 14. Differentiate -6*d**2 - d**4 - 23*d**2 + 17 + 15*d**s wrt d.
-4*d**3 - 28*d
Suppose -3*v = 4*t - 22, -v + 2*t = -0*t + 6. Find the first derivative of -39 + 17 + 2*o**2 + 15*o**3 - 4*o**v wrt o.
45*o**2 - 4*o
Let d(q) = 724*q**3 + 8*q**2 + 8*q - 623. Let p(y) = 2171*y**3 + 22*y**2 + 22*y - 1866. Let b(j) = -11*d(j) + 4*p(j). What is the derivative of b(c) wrt c?
2160*c**2
Let g(u) be the first derivative of -u**5 - 43*u**4/4 - 316*u**3/3 + 404. What is the third derivative of g(q) wrt q?
-120*q - 258
Suppose -2*x - f = -2, 6*x + 4 = 2*x - 4*f. Find the second derivative of -8*c - 10*c - x*c + 64*c**3 + 23*c + 34 wrt c.
384*c
Let h(v) = 1895*v**3 + 77*v**2 - 4*v + 5. Let l(m) = 948*m**3 + 38*m**2 - 3*m + 2. Let c(w) = -2*h(w) + 5*l(w). What is the third derivative of c(b) wrt b?
5700
Let t(u) be the second derivative of -13*u + 0*u**5 + 2*u**2 + 0*u**6 + 20/21*u**7 + 0 + 1/2*u**3 + 0*u**4. What is the second derivative of t(d) wrt d?
800*d**3
Let w(v) be the second derivative of 2*v**2 + 4*v**3 - 10/3*v**4 + 80*v + 0. Find the second derivative of w(p) wrt p.
-80
Find the third derivative of -361*d**3 + 129*d**6 - 172 - 148 + 361*d**3 + 5*d**5 + 4*d**2 - 6*d**2 wrt d.
15480*d**3 + 300*d**2
What is the third derivative of 10*f**3 - 6*f**3 + 19*f**3 - 116 - 20*f**3 + 1794*f**5 + f**2 + 5*f wrt f?
107640*f**2 + 18
Suppose 2*v = 2*o - 12, -4*o + 2 = 2*v + 14. Let c be 3/((-9)/v) - (-2 - 56). What is the third derivative of -6*b**2 - 23*b**2 - 66*b**3 + c*b**3 wrt b?
-36
Let o(t) = 16*t - 46. Let f be o(3). What is the third derivative of -18*r**2 - 21*r**4 + 4*r**f - 32*r**4 wrt r?
-1272*r
Let k(f) be the second derivative of -985*f**4/12 - f**3/2 + 31*f**2/2 + 20*f - 4. Find the second derivative of k(b) wrt b.
-1970
Let q(z) = -z**3 - z**2 - 2*z - 1. Let w(x) = 403*x**4 - 3*x**3 - 1107*x**2 - 6*x - 3. Let a(j) = -3*q(j) + w(j). Find the third derivative of a(m) wrt m.
9672*m
Let p(c) be the first derivative of 536*c**6/3 + 1399*c**3/3 + 1533. Find the third derivative of p(w) wrt w.
64320*w**2
Find the third derivative of -147*t**3 - 2107*t**2 + 59*t**3 - 103*t**3 - 222*t**3 wrt t.
-2478
Let f = 228 + -216. What is the first derivative of -31 - 43 + i + 2*i**2 + f wrt i?
4*i + 1
Let i(h) = 6009*h**2 - 37*h + 8. Let m(n) = -1502*n**2 + 9*n. Let z(u) = 4*i(u) + 18*m(u). Find the second derivative of z(k) wrt k.
-6000
Let m be 6/(-27) - (-9900)/81. What is the second derivative of 87*l**3 - m*l**3 + 8*l - 7*l + 25 + 4 wrt l?
-210*l
Let s(g) = -9*g**2 + 50*g + 1827. Let f(j) = 2*j**2 + 2*j - 4. Let w(d) = f(d) + s(d). What is the derivative of w(r) wrt r?
-14*r + 52
What is the second derivative of -2698*y**4 + 2716*y**4 + 4 + 145*y - 11*y**2 + 20*y wrt y?
216*y**2 - 22
Let u(n) be the first derivative of 4659*n**5/5 - 7749*n + 7286. Find the first derivative of u(y) wrt y.
18636*y**3
Differentiate 915 + 7232*n + 1560 - 1369*n with respect to n.
5863
Let c = 560 - 195. Find the third derivative of -9*s**4 + s**3 - 365 + c - 2*s**3 - 27*s**2 wrt s.
-216*s - 6
Let g(j) be the second derivative of 7/3*j**3 - 3/2*j**2 + 4/3*j**4 + 26*j + 1 - 1/20*j**5. What is the second derivative of g(w) wrt w?
-6*w + 32
Let y(q) be the first derivative of 11*q**6/10 + 29*q**4/6 - 80*q - 26. Let p(x) be the first derivative of y(x). What is the third derivative of p(s) wrt s?
792*s
Let a(d) be the second derivative of -d**6/6 - 433*d**5/20 - 787*d**4/12 + 695*d - 4. Find the third derivative of a(w) wrt w.
-120*w - 2598
Let z = 69 - 66. What is the first derivative of -2*o**4 + 31 + 21*o**3 - 56*o**z - 88*o**3 + 27 - 13 wrt o?
-8*o**3 - 369*o**2
Let a(o) = -o**2 + 14*o - 26. Let z be a(11). Let h be 5 - (12 - 10 - (1 + 0)). What is the second derivative of 3*l - 11*l + 4*l**2 - h*l**2 + z*l**4 wrt l?
84*l**2
Suppose 5*t - 2*y - 78 = 176, 3*t = -5*y + 171. Differentiate t*x**3 - 6 - 12 + 59 with respect to x.
156*x**2
Let u(w) be the first derivative of -w**2 + 21*w - 20. Let f be u(8). Find the second derivative of 16*m + 11*m**5 + 5*m + 17*m + 22*m**f wrt m.
660*m**3
Suppose -4*q + 4*r + 18 = 6*r, -q + 7 = r. What is the first derivative of -18 + 14 - 25 - z - 87 - q*z**2 wrt z?
-4*z - 1
Let h(f) be the third derivative of -71/2*f**3 + 0*f**5 + 0*f**4 + 0 + 82*f**2 + 103/105*f**7 + 0*f + 0*f**6. Differentiate h(a) with respect to a.
824*a**3
What is the second derivative of 9 - 739*i**2 + 7 - 12 - 4 - 811*i wrt i?
-1478
Let r(c) be the first derivative of 2637*c**4/4 - 2*c**3/3 - 441*c**2/2 + 5799. Find the third derivative of r(f) wrt f.
15822
Let p(k) be the first derivative of 5/2*k**4 + 0*k + 0*k**2 + 24*k**3 - k**5 - 135. Find the third derivative of p(y) wrt y.
-120*y + 60
Let u be 36672/(-416) + (48/(-26) - -2). Let y = u - -91. Find the third derivative of 6*k**y + 35*k**3 + 2*k**2 - 15*k**3 + 4*k**2 wrt k.
156
What is the derivative of -667 - 754*b + 134 - 461 - 186 wrt b?
-754
What is the third derivative of 306*r**2 - 1405*r**2 + 14037*r**6 - r**5 - 14221*r**6 wrt r?
-22080*r**3 - 60*r**2
Let y(r) be the third derivative of 181*r**5/30 - 1133*r**4/12 - 25*r**2 + 9. What is the second derivative of y(x) wrt x?
724
Suppose -3 = 263*q + 1 - 4. Let n(k) be the second derivative of 0 + q*k**3 - 1/20*k**5 - 21/2*k**2 + 6*k + 0*k**4. What is the first derivative of n(s) wrt s?
-3*s**2
Suppose 23 = -3*c + 23. Find the second derivative of -53*z**5 - z - 13 + 21 + c*z - 25 - 27 wrt z.
-1060*z**3
Let b(g) = -1076*g**2 + 365*g. Let j(a) = 3227*a**2 - 1093*a. Let h(r) = 17*b(r) + 6*j(r). What is the second derivative of h(i) wrt i?
2140
What is the third derivative of -270*r**2 + 74*r**4 + 192*r**2 + 10*r + 4*r**4 - 3*r + 216*r**2 wrt r?
1872*r
Let s(o) = o + 2. Let n be s(1). Let c(v) = -3*v**3 - 32*v**2 + 5*v - 27. Let z be c(-11). What is the derivative of 52*p**3 - z*p**n + 27 - 8 wrt p?
39*p**2
Suppose -2*u = -v + 6, 6*v = 7*v + 3*u - 1. What is the third derivative of y**2 + 43*y**6 + 22*y**v + 26*y**4 - 48*y**4 + 4 wrt y?
5160*y**3
Let k(v) = 599*v**2 + 223*v - 28 + 11 - 323*v + 577*v. Let o(w) = -200*w**2 - 159*w + 6. Let c(b) = 6*k(b) + 17*o(b). Find the second derivative of c(h) wrt h.
388
Let u(c) be the third derivative of c**8/168 + 19*c**7/10 + 78*c**5/5 + 10*c**2 + 4. Find the third derivative of u(v) wrt v.
120*v**2 + 9576*v
Differentiate 13*x**2 + 1030 - 1810771*x**4 + 1810770*x**4 + 85*x**2 + 1304 wrt x.
-4*x**3 + 196*x
Let a(r) = -1170*r + 1706. Let k(l) = -110. Let o(p) = a(p) - 10*k(p). What is the first derivative of o(f) wrt f?
-1170
Let a be 3 + (-10)/(-45)*9. What is the third derivative of 4*y**a - 13*y**5 + 9*y + 2*y**2 + 3*y**2 - 3*y**5 + 12*y**3 - 15*y**3 wrt y?
-720*y**2 - 18
What is the first derivative of -110*d**4 + 19154*d**3 - 38278*d**3 + 1714 + 19135*d**3 wrt d?
-440*d**3 + 33*d**2
Let l(j) be the third derivative of -j**7/30 - 263*j**6/120 - 201*j**5/10 - 2*j**2 - 2317*j. What is the third derivative of l(a) wrt a?
-168*a - 1578
Let v(f) be the first derivative of -1644*f**5/5 + 2*f**3/3 - 655*f**2/2 + 3647. What is the third derivative of v(s) wrt s?
-39456*s
Let k(q) = 8*q**3 + q**2 + q - 1. Let y(t) = 117*t**3 + 2*t**2 + 820. Let j(i) = 4*k(i) - 2*y(i). What is the derivative of j(v) wrt v?
-606*v**2 + 4
Let k(n) be the first derivative of -1280*n**4 - 2*n**3/3 + 245*n**2/2 - 4*n - 2759. What is the third derivative of k(b) wrt b?
-30720
Let g(m) = -2742*m**3 - 16*m**2 + 5*m - 133. Let h(o) = 8226*o**3 + 43*o**2 - 14*o + 393. Let y(c) = 8*g(c) + 3*h(c). Find the third derivative of y(f) wrt f.
16452
Let d(o) = 3217*o**3 - 66*o**2 - 9*o + 56. Let k(w) = -6435*w**3 + 134*w**2 + 17*w - 110. Let h(q) = -17*d(q) - 9*k(q). Find the third derivative of h(g) wrt g.
19356
Let t(q) be the second derivativ