g**5 + 2*g**4 - 164*g - 5. Let l(s) = 9*s**5 + 3*s**4 - 165*s - 4. Let v(h) = -5*l(h) + 4*u(h). Find the second derivative of v(i) wrt i.
-100*i**3 - 84*i**2
Let i(v) be the third derivative of -23*v**2 + 0 - 19/6*v**3 - 17/120*v**6 + 0*v**5 + 0*v**4 + 0*v. Differentiate i(w) with respect to w.
-51*w**2
Let z(d) be the first derivative of 11*d**5/5 - d**4/4 - 25*d**2/2 + 105. What is the second derivative of z(a) wrt a?
132*a**2 - 6*a
Suppose 3*t + 2*c + 2*c = -8, 16 = -t - 4*c. Suppose -4*s - 12 = t*d, -12 = s - 2*s + 4*d. Differentiate -3 + s - 2*u - u + u with respect to u.
-2
Let g(l) be the third derivative of -61*l**8/336 - l**7/105 - 47*l**4/12 - 27*l**2. Find the second derivative of g(y) wrt y.
-1220*y**3 - 24*y**2
Suppose 5*p - 15 = -105. Let y be (-102)/p - (-4)/(-6). Find the third derivative of -10*l**2 - 1143*l + 1143*l + 13*l**y wrt l.
780*l**2
Suppose 0 = -9*n + 8*n + 23. Find the first derivative of n*w**3 + 115*w - 115*w - 19 wrt w.
69*w**2
Let f = -53 - -69. What is the derivative of -j - 20 + f*j + 18 wrt j?
15
Let y(h) be the second derivative of -3*h**8/56 + 4*h**5/5 - 23*h**4/12 + 97*h. What is the third derivative of y(f) wrt f?
-360*f**3 + 96
Let k(y) be the third derivative of -19*y**5/60 - 5*y**3/3 + 97*y**2. Differentiate k(b) wrt b.
-38*b
Let w(y) = -y**3 - 9*y**2 + 2*y + 22. Let a be w(-9). Find the second derivative of -8*n + 2*n + n - 9*n - a*n**3 wrt n.
-24*n
Let j(q) be the first derivative of -q**6/30 + 4*q**5/15 + 7*q**2/2 + 18. Let z(o) be the second derivative of j(o). Find the third derivative of z(t) wrt t.
-24
Differentiate 31 + 79*g + 28*g + 89 - 50 + 24*g with respect to g.
131
Let j = -25 - -28. Find the third derivative of 12*g**2 + g**3 + g**3 - g**j wrt g.
6
Let l(n) be the second derivative of 7/2*n**2 + 0 + 0*n**5 + 13/6*n**3 + 0*n**4 - 1/10*n**6 + 26*n. Differentiate l(y) wrt y.
-12*y**3 + 13
Let g = -10 + 16. Suppose -y - y + g = 0. Find the second derivative of -u**5 + 4*u - 4*u**y + 3*u**5 + 4*u**3 wrt u.
40*u**3
Let v(u) be the second derivative of 0*u**2 + 0*u**5 + 23*u + 0*u**3 + 0 + 7/6*u**4 - 2/21*u**7 + 0*u**6. What is the third derivative of v(j) wrt j?
-240*j**2
Suppose -45 = u - 6*u. What is the second derivative of -2*o + 0 + 0 + 4*o**3 + u*o wrt o?
24*o
What is the third derivative of -181*r**5 + 97570*r - 97570*r + 1 + 46*r**2 wrt r?
-10860*r**2
Let y(j) be the first derivative of -2*j**2 - 7 + 9*j + 6*j**2 - 7*j. What is the derivative of y(n) wrt n?
8
Let y(i) be the first derivative of -971*i**3/3 - 388*i**2 - 630. What is the second derivative of y(f) wrt f?
-1942
Let x(m) be the third derivative of 29*m**4/12 - 79*m**3/6 + m**2 - 46. What is the first derivative of x(j) wrt j?
58
Let m(r) be the first derivative of 25*r**3/3 + 6*r - 104. What is the derivative of m(j) wrt j?
50*j
Let m(z) = z**3 - z. Let i(l) = -332*l**3 + 10*l + 458. Let o(b) = i(b) + 10*m(b). Find the first derivative of o(j) wrt j.
-966*j**2
Find the first derivative of -66*u**2 - 140*u**2 + 9*u**2 + 38*u - 38*u + 33 wrt u.
-394*u
Let d(o) = o**3 + 3*o**2 - 10*o - 18. Let y be d(-4). Let i(l) be the first derivative of 0*l**2 - y*l + 7 - 1/3*l**3. What is the derivative of i(r) wrt r?
-2*r
Let d = 361 - 359. Let q(i) be the third derivative of 1/20*i**6 - i**d + 0*i**4 + 0*i + 0 + 1/6*i**3 + 0*i**5. What is the derivative of q(u) wrt u?
18*u**2
Let t(z) be the second derivative of -943*z**3/6 + 98*z**2 + 560*z. Differentiate t(p) wrt p.
-943
Suppose 0*s = 2*s - 4. Find the third derivative of 15*o**s + 4*o**3 + 2*o**3 - 6*o**2 + 4*o**3 wrt o.
60
Let c(w) = 10*w**3 - 23*w**2 + 3*w + 3. Let z(l) = -21*l**3 + 47*l**2 - 7*l - 7. Let x(b) = -7*c(b) - 3*z(b). Find the third derivative of x(v) wrt v.
-42
Let x(o) = 1. Let f(d) = d + 3. Let k(q) = f(q) - 2*x(q). Let w(j) = -4*j**2 + 5*j + 4. Let z(p) = 10*k(p) - 2*w(p). Find the first derivative of z(r) wrt r.
16*r
Let o(j) be the second derivative of j**7/14 - 21*j**5/20 - 143*j**4/2 - j + 505. What is the third derivative of o(d) wrt d?
180*d**2 - 126
Let u(t) be the third derivative of -99*t**6/40 + 79*t**4/24 - 5*t**2 - 35. What is the second derivative of u(n) wrt n?
-1782*n
Let n(h) = -25*h**4 - 5*h**3 + 5*h**2 + 2*h + 8. Let o(a) = -a**4 + a**3 - a**2 - a + 1. Let y(m) = -n(m) - 5*o(m). What is the second derivative of y(q) wrt q?
360*q**2
Suppose -24*m + 9*m = 5*m. Let u(i) be the second derivative of 0 + 1/6*i**3 + m*i**2 + 1/3*i**4 - 5*i. Find the second derivative of u(d) wrt d.
8
Let g(r) = r**3 + 4*r**2 - 2*r - 5. Let t be g(-4). Suppose -w + 3 = -0*w. What is the derivative of -4 + t + 3 - 4*a**w wrt a?
-12*a**2
What is the third derivative of -61 - 56 + 23*w**2 + 120 - 93*w**6 wrt w?
-11160*w**3
Let f(n) be the second derivative of -11/12*n**4 + 0*n**2 - 3/56*n**8 + 0*n**5 + 0 + 0*n**6 - 7*n + 0*n**3 + 0*n**7. Find the third derivative of f(b) wrt b.
-360*b**3
Let s(d) be the second derivative of d**3/6 + 8*d**2 - 8*d. Let l be s(-13). Find the third derivative of -2*z**3 - l*z**3 + 2*z**2 - 12*z**2 + z**2 wrt z.
-30
Let h(x) be the first derivative of 0*x**5 + 38 + 0*x + 0*x**3 + 25/3*x**6 + 14*x**2 + 0*x**4. What is the second derivative of h(b) wrt b?
1000*b**3
Let r = 112 + -111. Suppose 2*w = -0 + 2. Find the second derivative of -m**3 + m - r + w + 7*m**3 wrt m.
36*m
Let h(y) be the first derivative of 391*y**5/5 + 3*y**2 - 6*y - 788. Find the second derivative of h(l) wrt l.
4692*l**2
Differentiate -419 - 686 - 363*a + 558 wrt a.
-363
Let z(c) be the first derivative of -446*c**3/3 + 299*c**2/2 + 359. Find the second derivative of z(m) wrt m.
-892
What is the first derivative of 9 + 244*m**3 + 208*m**3 + 526 wrt m?
1356*m**2
Let i(z) = -7*z**3 + 10*z + 4. Let m(j) = j**3 + 1. Let p be 6/(-3)*4/8. Let y(q) = p*i(q) + 4*m(q). Find the second derivative of y(s) wrt s.
66*s
Suppose -10*n + 22 = n. Find the third derivative of 22*p**2 + 6*p - 36*p**n - 27*p - 2*p**4 + 16*p**2 + 16*p**3 wrt p.
-48*p + 96
Suppose 3*j + 5 = 11. Find the first derivative of -4 - 3 - 10*h**j + 20 wrt h.
-20*h
Let s = 32 + -34. Let t(u) = 36*u - 30. Let d = 22 - 29. Let o(h) = -12*h + 10. Let g(l) = d*o(l) + s*t(l). Differentiate g(p) wrt p.
12
Find the first derivative of 488 + 108*b + 45*b + 326*b + 585*b wrt b.
1064
Find the second derivative of -67*j**5 - 2443*j**2 + 2443*j**2 - 129*j wrt j.
-1340*j**3
Let g(f) = 243*f**2 + 249. Let w(o) = -482*o**2 - 498. Let k(c) = -5*g(c) - 3*w(c). What is the derivative of k(x) wrt x?
462*x
Find the second derivative of -2*l**3 - 36*l**5 + 2*l**3 + 242745*l - 2*l**4 - 242102*l + 1 wrt l.
-720*l**3 - 24*l**2
Let c(l) be the first derivative of 469*l**3/3 + l**2 - 7*l - 123. Find the second derivative of c(b) wrt b.
938
Let q(v) = 2*v**3 + 2*v - 2. Let k be q(1). What is the first derivative of 3*u**2 - 10*u**3 + 2 - 2*u**k - u**2 wrt u?
-30*u**2
What is the third derivative of 2*d**4 - 4*d**4 - 83984*d**6 - 216*d**2 + 84199*d**6 wrt d?
25800*d**3 - 48*d
Let r(n) = 55*n**4 - 13*n**3 + 7*n + 245. Let u(s) = 18*s**4 - 4*s**3 + 2*s + 82. Let m(a) = -2*r(a) + 7*u(a). Differentiate m(t) wrt t.
64*t**3 - 6*t**2
Let z(f) be the third derivative of -47*f**7/210 + f**4/2 + 2*f**3/3 - 33*f**2 + f. Find the second derivative of z(q) wrt q.
-564*q**2
Let x(j) be the first derivative of 35 + 0*j + 0*j**4 - 13*j**2 + 23/6*j**6 + 0*j**5 + 0*j**3. Find the second derivative of x(v) wrt v.
460*v**3
Suppose 0 = 8*r - 3*r - 1210. Find the second derivative of -t**4 - r*t + 11*t**4 + 250*t + 0*t**4 wrt t.
120*t**2
Suppose -43 + 35 = -4*b. What is the third derivative of -72*g**2 + 5*g**4 + 122*g**2 - 65*g**b - g**4 wrt g?
96*g
Let b = -129 + 389/3. Let z(p) be the third derivative of 4*p**2 + 1/60*p**5 + 0*p**4 + 0 - b*p**3 + 0*p. What is the derivative of z(n) wrt n?
2*n
Let i(k) be the first derivative of -82*k**2 - 235*k - 110. What is the derivative of i(n) wrt n?
-164
Suppose 4*x = 7*x + 5*u - 81, 4*u - 81 = -3*x. Suppose 0 = 8*y - 21 - x. What is the third derivative of -19*c**6 + 10*c**6 + 2*c**2 - c**y wrt c?
-1200*c**3
Find the first derivative of -139*r + 14 - 94 + 99*r wrt r.
-40
Suppose -34 = -5*i + 41. Differentiate 6*r**2 - 16*r**2 + i - 8*r**2 wrt r.
-36*r
Let z(n) = -4*n**3 - 3*n**2 - 2*n + 120. Let a(f) = 2*f**3 - f**2 - f - 2.