43 - 16. Differentiate -z**m - j + z**3 - 5*z**4 + 262 wrt z.
-20*z**3
Suppose 2*n - 2*b + 138 = 7*n, 5*b + 61 = 2*n. What is the derivative of -n + 11*k**3 - 3*k**3 + 3 wrt k?
24*k**2
What is the second derivative of 108*a**4 - 373*a**4 + 48*a**4 - a**5 - 821*a wrt a?
-20*a**3 - 2604*a**2
Let i(x) = -497*x**4 + 8*x**2 + 112*x + 8. Let t(m) = 165*m**4 - 3*m**2 - 38*m - 3. Let z(a) = -3*i(a) - 8*t(a). Find the second derivative of z(q) wrt q.
2052*q**2
Let v(j) = -165*j**4 + 9*j**2 + 67. Let p(w) = 41*w**4 - 2*w**2 - 17. Let z(t) = 9*p(t) + 2*v(t). Differentiate z(c) wrt c.
156*c**3
Let y(u) be the first derivative of 148*u**4 - 115*u + 307. Find the first derivative of y(s) wrt s.
1776*s**2
Let k(u) be the first derivative of 0*u**3 - 3 - 3/4*u**4 + 5/2*u**2 + 0*u. What is the second derivative of k(o) wrt o?
-18*o
Find the third derivative of -215*q**6 - 7*q**6 - 79*q**6 + 32 - q**2 wrt q.
-36120*q**3
Suppose -35 = -2*x + 3*i, 5*x - 2*x - 58 = -i. What is the second derivative of -14*u**2 - x*u - 28*u**2 - 9*u wrt u?
-84
Let m(a) = 8*a - 1. Let n(b) = 2 - 3*b - 8*b + 3*b**2 - 1. Let k be n(5). Let y(f) = f. Let c(j) = k*y(j) - 3*m(j). What is the first derivative of c(t) wrt t?
-3
Suppose -5*p = 10 - 0. Let r be p/(-2*3/6). What is the second derivative of x**r + 6 + 1 + 4*x - 7 wrt x?
2
Let u(l) be the second derivative of 0*l**2 + 6*l + 0 + 1/6*l**3 - 7/12*l**4. What is the second derivative of u(a) wrt a?
-14
Let g(m) be the third derivative of 173*m**6/120 + 4*m**4 + m**3/3 + 117*m**2. What is the second derivative of g(u) wrt u?
1038*u
Let n(f) be the first derivative of 61*f**6/3 + 4*f**5/5 + 77*f**3/3 + f + 185. Find the third derivative of n(c) wrt c.
7320*c**2 + 96*c
Suppose 18*p = 10*p + 32. Differentiate -p*z**3 - 169 + 91 + 83 wrt z.
-12*z**2
Let m(j) be the second derivative of -49*j**4/12 + 77*j**3/6 - 69*j. What is the second derivative of m(a) wrt a?
-98
Let j(m) = 3*m**3 + m**2 + 2*m + 3. Let o = 33 + -30. Let g be j(o). Differentiate -g*s**3 + 88*s**3 + 1 - 7 - 3 with respect to s.
-33*s**2
Suppose 5*q = 3*p + 486, q + 3*p - 154 = -46. Find the third derivative of 0*h**3 - 13*h**2 - q*h**5 + 100*h**5 + 0*h**3 wrt h.
60*h**2
Let f(c) be the third derivative of 10*c**4/3 - 58*c**3/3 - 30*c**2 - 2*c. Differentiate f(k) wrt k.
80
Let d(w) = -11*w - 25. Let i be d(-3). What is the first derivative of -40 + 7*s - 4*s - s + i*s wrt s?
10
What is the derivative of -350*y**3 + 352*y**3 - 188 - 9 + 8 + 32*y**2 wrt y?
6*y**2 + 64*y
Let r(f) be the first derivative of -50*f**6/3 - f**2/2 + 27*f - 98. Find the second derivative of r(k) wrt k.
-2000*k**3
Let a be ((-9)/45 - 1)/(3/(-5)). Let x(z) be the second derivative of 5*z**a - 3*z + 0 + 3/2*z**3. Differentiate x(n) wrt n.
9
Let q(b) = -2*b**4 + 42*b**3 + 4*b - 307. Let z(y) = -y**3 + y + 1. Let l(n) = q(n) - 4*z(n). Differentiate l(x) with respect to x.
-8*x**3 + 138*x**2
Let j(n) be the third derivative of 4*n**6/15 + n**5/30 - 35*n**4/12 - n**3/6 + 56*n**2. What is the second derivative of j(z) wrt z?
192*z + 4
Let c(o) = 2*o**2 - 4*o. Let p be c(2). What is the first derivative of 2*b + 9 + p*b - 13*b - 2*b wrt b?
-13
Let a(v) = 141*v**4 - 4*v**2 + 4*v - 74. Let t(c) = 140*c**4 - 5*c**2 + 5*c - 76. Let k(d) = 5*a(d) - 4*t(d). Differentiate k(r) with respect to r.
580*r**3
Let i(p) = -p**4 - p**2 + p - 1. Let y(n) be the first derivative of n**5 + 2*n**3 - 3*n**2 + 10*n + 19. Let t(c) = 30*i(c) + 5*y(c). Differentiate t(q) wrt q.
-20*q**3
Suppose 2*z - 2*w = -10, -2*w + 8 = -4*z - 8. Let d be (28/(-3))/(2/z). What is the derivative of d*k**4 + 2 - 12*k**4 - 3 wrt k?
8*k**3
Let n(w) = 13*w**2 - 11*w + 176. Let u(x) = -6*x**2 + 5*x - 89. Let p(c) = 4*n(c) + 9*u(c). What is the derivative of p(q) wrt q?
-4*q + 1
Suppose -2*u = 2*d - 60, 2*u = 6*u + 8. Find the second derivative of -6*n - 12*n - 8*n**2 + d*n**2 wrt n.
48
Let f(m) = 117*m**4 - 4*m**3 + 8*m**2 - 2. Let n(c) = c**4 + c**3 - 1. Let i(z) = -f(z) - 4*n(z). What is the third derivative of i(h) wrt h?
-2904*h
Let r(p) be the first derivative of -91*p**3/3 - 43*p**2/2 + 8. Find the second derivative of r(v) wrt v.
-182
Let t(v) be the second derivative of v**7/3 - 305*v**3/6 - 426*v. What is the second derivative of t(k) wrt k?
280*k**3
Let y be 4/(-14) + 82858/119. Let i be 7*(y/21 - 4). Find the third derivative of -9*l**2 + i*l + l**4 - 204*l wrt l.
24*l
Find the third derivative of 5*b**4 + 8*b**3 + 3*b**2 - 871 - 8*b**5 - 4*b**2 - 5*b**4 - 13*b**3 wrt b.
-480*b**2 - 30
Suppose 3*o - 6*o - 15 = 0. Let i = o - -10. What is the third derivative of 6*f**i + 2*f**5 - 5*f**2 - 3*f**5 wrt f?
300*f**2
Let g(k) = -146*k - 124. Let m(q) = 150*q + 125. Let d(n) = 5*g(n) + 6*m(n). What is the derivative of d(p) wrt p?
170
Find the third derivative of 1489 - 1489 + 116*a**3 - 2*a**2 wrt a.
696
Let o(p) = 104*p**3 + 24*p**2 + 736*p + 3. Let b(d) = 313*d**3 + 64*d**2 + 2210*d + 8. Let c(s) = -3*b(s) + 8*o(s). What is the second derivative of c(f) wrt f?
-642*f
Let q(z) = z**2 + 10*z - 8. Let t be q(-10). Let f be (-10)/4*t/10. Find the second derivative of -d - d**3 - 4*d + f*d wrt d.
-6*d
Let c(f) be the third derivative of -7*f**6/4 + 103*f**4/24 + 19*f**2 - 3. What is the second derivative of c(t) wrt t?
-1260*t
Let x(n) be the second derivative of -n**6/15 - 19*n**5/60 - n**3 - 34*n. Let o(p) be the second derivative of x(p). Find the second derivative of o(c) wrt c.
-48
Let v(q) = -2*q - 17. Let y be v(-12). Let k = 13 - y. What is the third derivative of -16*a**6 + 5*a**k + 10*a**2 + a**2 wrt a?
-1320*a**3
Let v(x) be the first derivative of 4*x**5/5 + 17*x**2/2 - 67*x - 768. Differentiate v(t) wrt t.
16*t**3 + 17
Suppose 2*t - 32 = -3*k - 2*k, 5*t - 4*k = 14. Let m(b) = b**3 - 1. Let y(g) = -g**3 - 9. Let a(x) = t*m(x) + y(x). What is the derivative of a(c) wrt c?
15*c**2
Suppose 35*k = 29*k. Let u(x) be the second derivative of 2/5*x**5 + k*x**3 + 1/4*x**4 - x + 0 + 0*x**2. Find the third derivative of u(g) wrt g.
48
Suppose 5*q - 8 = q. Find the third derivative of -10*r**4 - r**2 + 5*r**2 - 10*r**q - 2*r**2 wrt r.
-240*r
Let r(h) be the third derivative of h**6/8 - h**5/6 - 169*h**4/24 + 2*h**2 - 1. Find the second derivative of r(j) wrt j.
90*j - 20
Let p(v) be the second derivative of 59*v**4/6 - 52*v**3/3 - 254*v. What is the second derivative of p(j) wrt j?
236
Find the third derivative of -25 - 4*q**4 - 16*q**3 - 46 - 3*q**2 - 8 + 5*q**2 + 5 wrt q.
-96*q - 96
Suppose -3*k + 6 = 0, -d + 0*k - 2*k + 19 = 0. What is the derivative of 33*a**2 - 9 + 1 - d + 1 wrt a?
66*a
What is the second derivative of f - 1 - 268 + 57*f**3 + 723*f**3 - 296 wrt f?
4680*f
Let l(h) = -7*h**3 - 15*h**2 - 5*h - 99. Let z(b) = -8*b**3 - 16*b**2 - 6*b - 97. Let k(u) = -6*l(u) + 5*z(u). What is the derivative of k(s) wrt s?
6*s**2 + 20*s
Suppose -5*n + n = 0. Let t(w) = -3 + 4*w + 2 + n - 5*w. Let d(v) = v**3 - 6*v - 3. Let h(o) = -2*d(o) + 6*t(o). Find the second derivative of h(i) wrt i.
-12*i
What is the derivative of 193 + 31 + 308 - 85*g - 433*g wrt g?
-518
Let q(r) = r**3 - r**2 - 3*r + 23. Let b be q(0). What is the first derivative of 11*n + 2*n + 17*n + b wrt n?
30
Let y = -11 - -11. Suppose -4*k + y*k = -16. What is the third derivative of -3*x**2 - 4*x**2 + 8*x**4 + x**k + x**2 wrt x?
216*x
Let r(b) be the first derivative of -8*b**6 - b**4/4 + b**2 - 52*b + 144. What is the second derivative of r(j) wrt j?
-960*j**3 - 6*j
Let w be 4 + 0 + 2*25. Find the first derivative of w*i**2 + i**4 - 54*i**2 - 2 + 1 wrt i.
4*i**3
Find the second derivative of -4 - 18*c + 41*c + 4 - 38*c**4 wrt c.
-456*c**2
Let y(n) be the second derivative of -333*n**5/20 - 193*n**2/2 - 14*n - 4. What is the derivative of y(s) wrt s?
-999*s**2
Let v(s) = 49*s**2 + 52*s. Let l(r) = 58*r**2 - 164*r**2 + 92*r**2 + 52*r + 64*r**2. Let q(o) = 4*l(o) - 5*v(o). Find the second derivative of q(w) wrt w.
-90
Let z(k) = -2*k**3 + k**2. Suppose 33*d - 102 = -d. Let f(p) = 0*p**3 + 5*p**3 - 3*p**3. Let r(t) = d*f(t) + 2*z(t). What is the third derivative of r(h) wrt h?
12
Differentiate -9017*h**2 - 39 + 57*h**4 + 9017*h**2 with respect to h.
228*h**3
Let i(d) = -3*d + 60. Let v be i(19). What is the first derivative of -10*j**v + 14*j**3 + 1 - 12 wrt j?
12*j**2
Let k(q) = -