- -31. Find the third derivative of -270*p + 270*p - 7*p**4 - 5*p**z wrt p.
-168*p
Let u(f) be the second derivative of 0*f**2 - 11/3*f**3 + 0*f**4 + 1/2*f**5 - 5*f + 0. Find the second derivative of u(o) wrt o.
60*o
Let o(y) = 3*y + 8. Let t be o(0). Differentiate -2*w**4 + t*w**4 - 32 + 12*w**4 with respect to w.
72*w**3
Let u(s) be the second derivative of -527*s**5/20 - 95*s**4/12 - s - 61. What is the third derivative of u(n) wrt n?
-3162
Let g(v) be the third derivative of -v**7/105 - v**6/60 + 6*v**4 + 126*v**2. Find the second derivative of g(m) wrt m.
-24*m**2 - 12*m
Let y(g) = 4*g**4 - g**3 - g + 2. Let w = 19 + -19. Let a(o) = w*o**3 + o**3 + 1 - 2*o + 3*o. Let i(t) = a(t) + y(t). Find the first derivative of i(r) wrt r.
16*r**3
Let w be (-6)/75*5 + (-194)/(-10). Find the first derivative of 4 - 2141*y**3 + 2168*y**3 - w wrt y.
81*y**2
Let d(i) = 210*i**4 + 5*i**2 - 52*i + 5. Let t(s) = 105*s**4 + 2*s**2 - 27*s + 2. Let w(o) = 2*d(o) - 5*t(o). Find the second derivative of w(p) wrt p.
-1260*p**2
Let s be ((-9)/3 - -9) + 4. Let d = s + -5. What is the third derivative of -4 + 9 - 5 + 2*t**d + 8*t**2 wrt t?
120*t**2
Let h(g) be the third derivative of 19*g**8/84 + 97*g**5/60 - 38*g**2. What is the third derivative of h(t) wrt t?
4560*t**2
Differentiate 93*r**4 + 0*r**4 - 119 + 46 wrt r.
372*r**3
Let u(t) = 123*t**3 + 11*t - 31. Let b(q) = 41*q**3 + 4*q - 10. Let y(c) = -11*b(c) + 4*u(c). Differentiate y(l) wrt l.
123*l**2
Let m(p) = -5*p + 26. Suppose -3*t = -3 + 9. Let s(i) = 6*i - 25. Let d(g) = t*s(g) - 3*m(g). Differentiate d(k) with respect to k.
3
Let z(r) be the first derivative of -r**4/4 - r**3 - r**2 - 4*r + 2. Let n be z(-3). Find the third derivative of -5*c**4 + 7*c**4 - n*c**2 + 3*c**2 wrt c.
48*c
What is the second derivative of 43367*k**2 + 108*k**3 - 42 - 2*k - 43366*k**2 + 4*k wrt k?
648*k + 2
Let q(i) be the first derivative of 0*i**2 - 13*i - 5/4*i**4 + 0*i**3 + 8. Differentiate q(f) with respect to f.
-15*f**2
Let k(r) = 44*r**2 - 20. Let s = -13 - -16. Suppose 2*q - s = -9. Let m(o) = 9*o**2 - 4. Let v(w) = q*k(w) + 14*m(w). Differentiate v(l) wrt l.
-12*l
Let k(p) be the second derivative of 0 + 5/4*p**5 + 7/3*p**4 - 13*p + 0*p**3 + 0*p**2. Find the third derivative of k(y) wrt y.
150
Let o(u) = -131*u**2 + 83*u - 1. Let k(h) = -66*h**2 + 42*h - 1. Let c(n) = -5*k(n) + 3*o(n). Find the second derivative of c(d) wrt d.
-126
Let d(o) = -2 + 54*o + 97 + 9*o. Let w(n) = -95*n - 143. Let b(u) = 8*d(u) + 5*w(u). Differentiate b(g) wrt g.
29
Let w(s) be the first derivative of s**8/168 - 11*s**4/24 + s**2 + 9. Let b(t) be the second derivative of w(t). What is the second derivative of b(g) wrt g?
40*g**3
Suppose 116 = -4*k - 4*c, 0 = -0*c + c + 5. Let p = k - -38. Find the third derivative of 4*m**5 + 53*m**4 - 53*m**4 + p*m**2 wrt m.
240*m**2
Let j(b) be the third derivative of -b**7/210 + 7*b**6/10 + 193*b**4/8 - 742*b**2. Find the second derivative of j(f) wrt f.
-12*f**2 + 504*f
Let p(l) be the third derivative of l**8/84 + l**6/30 + l**3 + 19*l**2. Let a(n) be the first derivative of p(n). Find the third derivative of a(v) wrt v.
480*v
Let z(y) = 151*y**4 - 3*y**2 + 6*y + 43. Let m(h) = -h**4 + h**2 - h - 1. Let q(g) = 6*m(g) + z(g). Find the third derivative of q(c) wrt c.
3480*c
Let z(p) be the third derivative of 8*p**8/21 + p**5/60 - p**4/12 + 66*p**3 - 8*p**2 - 2*p. Find the second derivative of z(d) wrt d.
2560*d**3 + 2
Let f(w) be the third derivative of -39*w**6/40 + 31*w**3/6 - 8*w**2 + 1. Differentiate f(x) wrt x.
-351*x**2
Let q = 6 - 2. Suppose -2*x = 2, 9*x + 20 = 5*s + q*x. What is the derivative of 46*p**3 - 1 - 47*p**s + 10 wrt p?
-3*p**2
Let o(w) be the third derivative of 5/24*w**4 + 0 + 7/60*w**6 + 0*w**5 + 0*w**3 + 0*w - 24*w**2. Find the second derivative of o(d) wrt d.
84*d
Differentiate b**3 - 6*b - 104 - 7*b - 4*b - 43 wrt b.
3*b**2 - 17
Let p(w) = -w**2 + w. Let m(f) = -f**3 - 113*f**2 - 9*f. Let i(j) = m(j) + 3*p(j). What is the second derivative of i(a) wrt a?
-6*a - 232
Suppose 5*j - 4*g = 39, -j + 0*g + 15 = g. What is the first derivative of j*f - 4 + 6 + 4 - 6*f wrt f?
5
Let j(v) be the first derivative of 0*v**2 + 0*v - 14/3*v**3 - 44/5*v**5 + 13 + 0*v**4. Find the third derivative of j(d) wrt d.
-1056*d
Let a(t) = -t. Let q be a(-13). Find the second derivative of q*h**2 - 13*h**2 + 11*h**3 - 10*h wrt h.
66*h
Let c(o) be the first derivative of -5/7*o**7 + 0*o**5 + 0*o + 7/3*o**3 + 0*o**2 + 0*o**4 + 0*o**6 + 10. What is the third derivative of c(p) wrt p?
-600*p**3
Let c(r) = 21*r**2 - 71*r + 6. Let n(a) = -22*a**2 + 68*a - 7. Let j(d) = 7*c(d) + 6*n(d). Find the second derivative of j(y) wrt y.
30
Let s(u) = 198*u**3 - 17*u**2 - 17*u - 200. Let r(m) = -66*m**3 + 6*m**2 + 6*m + 67. Let x(n) = 17*r(n) + 6*s(n). Differentiate x(j) wrt j.
198*j**2
What is the second derivative of -29 + 6*f - 35*f**2 + 17 + 13 wrt f?
-70
Suppose v - 3 = -l, l - 3 = -2*v - 0*l. Suppose v = -4*j + 2 + 10. Find the third derivative of b**2 - 2*b**5 - j*b**5 - 6*b**5 wrt b.
-660*b**2
Let j(t) be the third derivative of t**7/210 - t**6/18 - 9*t**3/2 - 20*t**2. Let x(b) be the first derivative of j(b). Find the third derivative of x(z) wrt z.
24
What is the third derivative of 103*x**5 - 31732*x + 31732*x + 40*x**2 wrt x?
6180*x**2
Let i(l) = -l**2 - 7*l - 4. Let o be i(-5). Suppose -3 = 3*b + 6, o = -n - 3*b. Find the second derivative of 8*v**3 + 0*v - 2*v**n - v wrt v.
36*v
Let g = -15 - -20. Suppose 0 = -w + 2*z + g, 2*w - z = 3*w - 17. What is the second derivative of -9*i**5 + i + w*i**5 + 0*i**4 + 0*i**4 wrt i?
80*i**3
Let g(f) = -9*f**4 - 8*f**2 + 4*f - 132. Let q(r) = -28*r**4 - 25*r**2 + 11*r - 395. Let c(p) = 11*g(p) - 4*q(p). What is the first derivative of c(i) wrt i?
52*i**3 + 24*i
Find the third derivative of 31*t**4 - 93*t**2 + 12*t**2 - t**3 + 58*t + 7*t**4 - 59*t wrt t.
912*t - 6
Let m(b) be the third derivative of b**9/126 - b**7/70 - b**5/30 + 40*b**3/3 + 5*b**2 - 17. What is the third derivative of m(f) wrt f?
480*f**3 - 72*f
Suppose 6*d - 2 = 4*d. Differentiate -6 + 6*x**3 - 16*x**3 + d + 1 with respect to x.
-30*x**2
Let u(w) = -188*w**6 - 3*w**4 - 82*w**2 + 3. Let n(r) = 188*r**6 + 2*r**4 + 83*r**2 - 2. Let l(b) = 3*n(b) + 2*u(b). What is the third derivative of l(i) wrt i?
22560*i**3
Let n(b) be the first derivative of 8*b**5 + 53*b**2/2 + 5. What is the second derivative of n(p) wrt p?
480*p**2
Let n(m) = m**3 + 12*m**2 + 12*m + 14. Let w be n(-11). Find the second derivative of -7*h + 7*h**3 + 10*h + 5*h**w wrt h.
72*h
Let t(d) be the first derivative of 3*d**4 - 4*d**4 - 13 + 6*d - d + 3*d**4. What is the derivative of t(u) wrt u?
24*u**2
What is the second derivative of -3*x + 60 + 23*x**5 + 20*x**5 - 9*x**5 - 6*x**5 + 57*x**5 wrt x?
1700*x**3
Let k(r) be the third derivative of 17*r**2 + 0*r + 2/3*r**3 + 0 + 1/24*r**4 + 2/15*r**5. Find the second derivative of k(b) wrt b.
16
Let k = 26 + -23. Let o = -9 + 11. Find the second derivative of p**3 + o*p**k - p**3 - 5*p wrt p.
12*p
Let w(a) = -66*a**2 - 112*a + 5. Let u(i) = 99*i**2 + 168*i - 7. Let f(m) = 5*u(m) + 7*w(m). Find the second derivative of f(v) wrt v.
66
Let f = 268 + -3215/12. Let q(r) be the third derivative of 2*r**2 + 5/24*r**4 + 0 + 0*r**3 + 0*r + f*r**5. Find the second derivative of q(l) wrt l.
10
Let q(n) = n - 6. Let f be q(9). Let l be ((-8)/(-20))/((-3)/(-30)). Find the third derivative of -2 - h**5 - f*h**2 - l*h**5 + 2 wrt h.
-300*h**2
Find the first derivative of 2 + 1 - 4 - 2 + 19*g wrt g.
19
Let c(p) be the third derivative of 59*p**8/168 - 37*p**4/3 + 218*p**2. Find the second derivative of c(o) wrt o.
2360*o**3
Let s(i) = -3*i**2 + 20*i + 11. Let o be s(7). Find the second derivative of 9*x**4 - 6*x - 6*x - o*x + 7*x**4 wrt x.
192*x**2
Let a(f) be the first derivative of 9*f**6 - 5*f**3/3 - 95. What is the third derivative of a(h) wrt h?
3240*h**2
Let h(c) = 201*c**4 - 3*c**3 + 6*c - 313. Let k(v) = v**4 + v**3 - 2*v. Let n(t) = -h(t) - 3*k(t). What is the derivative of n(u) wrt u?
-816*u**3
Let x(u) be the third derivative of -11*u**6/10 - u**5/60 + 19*u**3/3 + 249*u**2. What is the third derivative of x(z) wrt z?
-792
Let u be (-26)/(-4) - 23/46. Find the third derivative of -11*o**2 + 41*o - 10*