 30. Let z = w + -2. Differentiate 5*t**2 - 2*t**z + 1 - 5*t**2 with respect to t.
-6*t**2
Suppose 0 = -3*n + 2*n + 1. Suppose -2*c - 4*h + 18 = 0, 2*c - 2*h - 7 = -n. What is the second derivative of -f**3 + f**3 + 2*f**5 + f**c + f wrt f?
60*f**3
Suppose 0 = 4*p - x - 12, -5*p - 1 + 25 = x. Find the third derivative of -b**2 - p*b**2 + b**2 + b**5 + 0*b**5 wrt b.
60*b**2
Let y(f) = -f**4 - f**2 - 1. Let i(x) = -6*x**4 + 3*x**2 + 7. Let s(q) = i(q) + 3*y(q). What is the derivative of s(c) wrt c?
-36*c**3
Let k = -9 + 13. What is the third derivative of -4*q**k + 1 + 7*q**4 - 1 - 3*q**2 wrt q?
72*q
Let s(o) = -o**3 - 4*o**2 - 2*o - 6. Let x be s(-4). What is the derivative of 6 + 2*t**x - 2*t**2 - 8 - 2*t**4 wrt t?
-8*t**3
Find the third derivative of 5*s**2 + 20*s**5 - 19*s**5 + 2*s**2 + 6*s**5 wrt s.
420*s**2
Suppose -5*n = -6*n. Let x(i) be the second derivative of n*i**2 + 0*i**4 - i + 0 + 1/6*i**3 - 3/20*i**5. Find the second derivative of x(y) wrt y.
-18*y
What is the third derivative of -6*g**3 - 6*g**3 + 26*g**2 + 20*g**2 - 10*g**3 wrt g?
-132
Suppose 4*p + 4*i - 24 = 0, -5*i = -5 - 5. Suppose 10 = w + p*w. Find the third derivative of 0*j**2 + 2*j**w - j**3 + 0*j**2 wrt j.
-6
Suppose -4*i + 5*j - 17 = 0, 0*i = 3*i + 5*j - 31. What is the second derivative of -11*p**2 - 2*p**5 - 2*p + 11*p**i wrt p?
-40*p**3
Let i(t) be the third derivative of t**6/360 - t**5/30 - t**4/24 + 2*t**2. Let p(b) be the second derivative of i(b). Differentiate p(y) wrt y.
2
Let y(c) be the second derivative of c**6/6 + c**3/2 - 6*c. Find the second derivative of y(r) wrt r.
60*r**2
Let o(v) be the first derivative of 11*v**4/4 - 5*v**2/2 + 4. Find the second derivative of o(p) wrt p.
66*p
Let x(o) = -4*o**2 + 3*o**3 + 4*o**4 - 6*o**3 + 7*o**3. Let p(m) = m**3 - m**2 - 1. Let n(q) = 4*p(q) - x(q). Differentiate n(z) wrt z.
-16*z**3
Suppose 5 = 6*z - z - o, -z + 3*o = -15. Suppose 3*p - 2*i - 14 = -2*p, z = -3*p + 4*i + 14. Find the first derivative of 2*s - 5*s**p + 6*s**2 - 2*s + 2 wrt s.
2*s
Suppose 2*g + b + 5 = 2, -5*g = -5*b - 30. Find the second derivative of -4*c + g - 2*c**2 + 3*c - 1 wrt c.
-4
Let g(v) = v**3 - 3*v**2 - 8. Let k(m) = 2*m**3 - 4*m**2 - 7. Let q(h) = -4*g(h) + 3*k(h). Find the first derivative of q(f) wrt f.
6*f**2
Let z(v) = v**2 - 4*v + 2. Let o be z(4). What is the third derivative of r**4 - o*r**2 - 2*r**2 + 2*r**4 + 0*r**2 wrt r?
72*r
What is the second derivative of -4*x**4 - 2*x + x**4 + 36*x + 2*x**4 wrt x?
-12*x**2
Let t = -234 - -584. Find the second derivative of t + 5*r - 9*r**2 - 350 wrt r.
-18
Find the first derivative of -3 + 5 - 10*s**2 + 2 wrt s.
-20*s
Let n = 14 + -12. Let g = -2 - -2. Differentiate m**2 + 2 - 2*m**n + g + 1 with respect to m.
-2*m
Let q(o) = o**3 - o**2 + o - 1. Let p(f) = -33*f**3 + 6*f**2 - 6*f - 32. Let a(x) = p(x) + 6*q(x). Differentiate a(l) wrt l.
-81*l**2
Let p(g) be the first derivative of 4*g**6 - 8*g**3 + 9. What is the third derivative of p(v) wrt v?
1440*v**2
Let a be 2 - (5 + 1) - -6. Let d = 4 - 1. Find the third derivative of f**3 - f**3 - d*f**a + 0*f**3 - 3*f**3 wrt f.
-18
Let v(f) be the third derivative of -5*f**5/12 + f**4/2 + 2*f**2. What is the second derivative of v(b) wrt b?
-50
Let v(c) = -42*c**4 - 4*c**3 - 4*c + 43. Let j(d) = 125*d**4 + 11*d**3 + 11*d - 129. Let l(b) = -4*j(b) - 11*v(b). What is the derivative of l(z) wrt z?
-152*z**3
Let k be (1 - (2 + 1))*-1. Suppose -t + 3*d + 14 = 0, 2*d + 32 = 3*t + 3*d. Find the third derivative of -t*a**2 + 8*a**k + 2*a**6 - 4*a**6 wrt a.
-240*a**3
Let h be 0 - (-1 + (0 - 1)). Let r(n) = 4*n**2 - n + 1. Let b be r(1). What is the second derivative of 6*w**4 + h*w - b*w - 5*w**4 wrt w?
12*w**2
Let y(t) = -t**3 + t**2 - t - 1. Let d(g) = 34*g**5 + g**3 + 2*g**2 + g + 5. Let f(p) = -d(p) - y(p). What is the third derivative of f(q) wrt q?
-2040*q**2
Suppose 4*g - 17 = 3*z, g - 5*g + 2*z + 18 = 0. What is the third derivative of -i**5 + 0*i**5 - 4*i**5 - 10*i**2 + g*i**2 wrt i?
-300*i**2
What is the second derivative of 22*n**3 - 36*n**3 - 12*n + 22*n**3 wrt n?
48*n
Let x(d) be the third derivative of d**6/720 + d**5/40 - d**4/12 + 2*d**2. Let r(n) be the second derivative of x(n). What is the derivative of r(c) wrt c?
1
Let t(d) = 12*d**4 + 5*d**3 + 5*d**2 + 3*d + 5. Let r(x) = -x**4 - x**3 - x**2 + x - 1. Let l(z) = -5*r(z) - t(z). Find the second derivative of l(b) wrt b.
-84*b**2
Let o be (-9)/(-15) - (-6)/(-10). Suppose d + 0*d - 3 = o. Differentiate 1 - u**4 - d - 2*u**4 - 1 with respect to u.
-12*u**3
Let z(d) be the second derivative of -d**10/2520 - d**6/360 + d**3 - d. Let o(l) be the second derivative of z(l). What is the third derivative of o(f) wrt f?
-240*f**3
Let y(s) = -4*s - 15. Let u(d) = 3*d + 19. Let c(b) = b + 6. Let h(w) = -14*c(w) + 4*u(w). Let v(k) = -11*h(k) + 6*y(k). What is the derivative of v(z) wrt z?
-2
Let q(g) = -19*g - 26. Let n(t) = 58*t + 77. Let y(c) = -2*n(c) - 7*q(c). Differentiate y(p) wrt p.
17
Let c(b) = 4*b - 5. Let q(i) = 3 - 15 + 8 + 3*i. Let k be ((1 - -1)/(-1))/(-1). Let y(z) = k*c(z) - 3*q(z). What is the first derivative of y(m) wrt m?
-1
Let g(j) = -13*j**2 + 5. Let c(u) be the first derivative of -7*u**3/3 + 3*u - 2. Let r(s) = -7*c(s) + 4*g(s). Differentiate r(a) wrt a.
-6*a
Let o(w) be the first derivative of -3*w**5/5 + w**3/3 + 7*w**2 + 73. Find the second derivative of o(y) wrt y.
-36*y**2 + 2
Suppose 0*x = 2*x - 12. Let u(l) be the second derivative of 0*l**4 + 0*l**2 - 1/6*l**3 + 0 - 1/15*l**x + 0*l**5 - l. Find the second derivative of u(y) wrt y.
-24*y**2
Differentiate -2 - s**2 - s**2 - 6*s**2 wrt s.
-16*s
Let i(t) = 12*t**3 + 6*t**2 - t - 1. Let m(z) = -z**3 + z + 1. Let r(d) = -i(d) - m(d). Find the third derivative of r(f) wrt f.
-66
Let c(v) = -75*v**3 - 73. Let y(m) = 25*m**3 + 24. Let h(x) = 3*c(x) + 8*y(x). Differentiate h(t) with respect to t.
-75*t**2
Let o(t) be the third derivative of t**8/6720 - t**7/560 - t**5/10 - 3*t**2. Let l(i) be the third derivative of o(i). Find the second derivative of l(w) wrt w.
6
Let t(j) be the third derivative of j**5/12 + j**4/12 + 8*j**2. What is the second derivative of t(d) wrt d?
10
Let q(c) be the first derivative of -2/3*c**6 + 0*c**3 + 0*c + 0*c**5 + 0*c**4 + 3 + c**2. What is the second derivative of q(y) wrt y?
-80*y**3
Let c be ((-1)/(-3))/(3/27). Let s(j) be the third derivative of 1/30*j**5 - 1/3*j**c - j**2 + 0 + 0*j**4 + 0*j. Find the first derivative of s(w) wrt w.
4*w
Suppose -3*u + 0*u = -9. Let w(j) be the first derivative of 0*j**u + 0*j**4 - 2*j - 2/5*j**5 + 0*j**2 + 1. Differentiate w(h) with respect to h.
-8*h**3
Let q(h) be the first derivative of -h**8/336 + h**4/8 - 8*h**3/3 - 7. Let t(a) be the third derivative of q(a). What is the first derivative of t(k) wrt k?
-20*k**3
Let x(c) be the second derivative of 4*c**5/5 + 11*c**2/2 - 2*c. Differentiate x(n) wrt n.
48*n**2
Let w(s) be the third derivative of -s**6/60 - 5*s**4/24 + 5*s**2. What is the second derivative of w(a) wrt a?
-12*a
Suppose 0 = 2*j - 18 + 6. What is the third derivative of 5*f**2 + 0*f**3 - j*f**2 - 6*f**3 wrt f?
-36
Find the first derivative of -9 - 3*v**2 - 285*v**4 + 271*v**4 + 3*v**2 wrt v.
-56*v**3
Let d = -10 - -16. Let m = -3 + d. What is the second derivative of -j**m - j + 3*j - j wrt j?
-6*j
Let f be (-32)/(-14) + 2/(-7). Let t(v) = -6*v**2. Let k(z) = -31*z**2 + 1. Let b(i) = f*k(i) - 11*t(i). Differentiate b(o) wrt o.
8*o
Let y(q) = 10*q + 5 - 1 + 3 + 2. Let v(l) = 9*l + 8. Let c(w) = -7*v(w) + 6*y(w). Differentiate c(b) wrt b.
-3
Find the second derivative of 462 - 462 + 7*m**4 - 6*m wrt m.
84*m**2
Let c(n) = -n**3 + 5*n**2 + 8*n - 6. Let z be c(6). Find the third derivative of x**2 - 17*x**z + 2*x**2 + 13*x**6 wrt x.
-480*x**3
What is the first derivative of -5*c**4 + 25 - 7 + 4*c**4 + 35*c**3 wrt c?
-4*c**3 + 105*c**2
Let f(v) = v**2. Let p(w) = w - 1. Let m(y) = 3*y**2 + y + 1. Let j(c) = 2*m(c) - 2*p(c). Let q(b) = -4*f(b) + j(b). What is the derivative of q(t) wrt t?
4*t
Let k(f) be the third derivative of -f**6/120 - f**5/60 - f**2. Find the third derivative of k(x) wrt x.
-6
What is the second derivative of 5*c + 239*c**2 - 3*c - 226*c**2 wrt c?
26
What is the third derivative of -13*k**4 + 3*k**3 + 0*k**3 - 4*k**2 