- 3 - o**u wrt o?
8*o**3
Let y = 16 + -12. Let k(l) be the first derivative of 0*l**3 + 3/4*l**y - 4 - l + 0*l**2. Find the first derivative of k(g) wrt g.
9*g**2
Find the third derivative of 2*t**4 + 4*t**2 + 5*t**2 + 52*t**4 + 22*t**2 wrt t.
1296*t
Differentiate 3*p**4 + 18 - 14 - 2*p + 2*p wrt p.
12*p**3
Suppose 5*y = -0*h + 4*h + 20, 0 = 2*y + 4*h + 20. Let c(n) be the first derivative of n - 1/3*n**3 + y*n**2 - 1. What is the derivative of c(a) wrt a?
-2*a
What is the third derivative of -4*w**6 + 28*w**4 + 7*w**2 - 28*w**4 + 12*w**6 wrt w?
960*w**3
Let l be (-2 - -3)*(-1 + 3). Suppose -4 = -4*s + l*s. What is the third derivative of -7*p**s + 0*p**2 - 4*p**3 + 3*p**2 wrt p?
-24
Let s be -1 - -5 - (-6)/3. What is the third derivative of -3*v**2 - 7*v**5 + s - 6 wrt v?
-420*v**2
Suppose 5*l - 14 = y, 3*l - 2*l - 16 = -y. Find the second derivative of y*p**3 + 15*p - 4*p**3 - 9*p wrt p.
42*p
Suppose 0 = -4*p - 4*o + 8, -p - 4*o + 1 - 11 = 0. What is the second derivative of z**2 + 2*z + p*z - 7*z wrt z?
2
Let y(t) = -40*t**6 + 9*t**3 + 23*t**2 + 9*t. Let i(h) = -20*h**6 + 4*h**3 + 11*h**2 + 4*h. Let m(o) = 9*i(o) - 4*y(o). Find the third derivative of m(l) wrt l.
-2400*l**3
Let y(z) be the first derivative of z**10/1680 - z**6/360 - z**3/3 + 3. Let r(k) be the third derivative of y(k). Find the third derivative of r(s) wrt s.
360*s**3
Let a(y) be the second derivative of -y**7/42 + 4*y**3 + 13*y. Find the second derivative of a(l) wrt l.
-20*l**3
Let i(z) be the second derivative of -1/15*z**6 + 0*z**5 + 1/2*z**2 + 0*z**4 + 0 + 3*z + 0*z**3. Find the first derivative of i(m) wrt m.
-8*m**3
Let u(w) be the third derivative of w**7/420 + w**6/360 - w**3/3 - 3*w**2. Let h(f) be the first derivative of u(f). Find the third derivative of h(y) wrt y.
12
Let w(s) = -s**3 + s**2 - s + 1. Let q(p) = -7*p**4 - 3*p**3 + 3*p**2 - 3*p + 4. Let c(u) = 2*q(u) - 6*w(u). Differentiate c(j) wrt j.
-56*j**3
Let v(s) be the third derivative of -4*s**2 + 1/6*s**4 + 0*s**5 + 1/70*s**7 + 0*s**6 + 0*s + 0 + 0*s**3. Find the second derivative of v(q) wrt q.
36*q**2
Let l(k) be the third derivative of -13*k**4/24 + 4*k**3/3 - 9*k**2. What is the first derivative of l(g) wrt g?
-13
What is the third derivative of 4*c**2 - 7*c**3 + 19*c**3 - 14*c**2 wrt c?
72
Let m(b) = 11*b**3 - 2*b**2 + 5*b. Let d(h) = 44*h**3 - 9*h**2 + 19*h. Let j(z) = 2*d(z) - 9*m(z). What is the second derivative of j(q) wrt q?
-66*q
Let w(x) = 128*x**3 - 129*x + 7. Let h(o) = 85*o**3 - 86*o + 5. Let a(j) = 7*h(j) - 5*w(j). Find the second derivative of a(u) wrt u.
-270*u
Let c(p) = 13*p**5 + 4*p**4 + 15*p**2 - 4. Let x(d) = d**4 + d**2 - 1. Let j(o) = c(o) - 4*x(o). Find the third derivative of j(s) wrt s.
780*s**2
Let w(r) be the first derivative of -r**7/42 + r**3/3 + 4*r + 1. Let j(k) be the first derivative of w(k). Find the second derivative of j(i) wrt i.
-20*i**3
Let f(k) be the first derivative of -k**3 + 3*k**2 + 5. Find the second derivative of f(c) wrt c.
-6
What is the second derivative of -4*l**2 - 20*l + 16*l**4 - l**3 + 3*l**2 + l**2 wrt l?
192*l**2 - 6*l
Let n(h) = -12. Let g(i) = i + 13. Let l(d) = 3*g(d) + 4*n(d). Differentiate l(x) wrt x.
3
Let f(q) = -2*q - 8. Let s be f(-7). What is the third derivative of -4*n**2 - 2*n**s + 0*n**6 + 5*n**2 + n**2 wrt n?
-240*n**3
Let v(p) = 3*p**4 + 4*p**3 + 4*p**2 + 32. Let k(z) = z**4 + z**3 + z**2 + 1. Let b(x) = 4*k(x) - v(x). Find the first derivative of b(t) wrt t.
4*t**3
Find the first derivative of -6*j**3 + 343*j - 343*j + 22 wrt j.
-18*j**2
Suppose 6 + 0 = 3*m. Suppose -3*c + 1 + m = 0. What is the derivative of 2*r**3 - r + c + r + 0*r wrt r?
6*r**2
Let c(m) = m**3 + 2*m**2 - 2*m. Let j be c(-2). Suppose j*h + 6 - 18 = 0. Find the second derivative of -2*z**4 - 2*z**2 + 2*z**2 + 3*z**4 + h*z wrt z.
12*z**2
Let x(h) be the second derivative of -h**7/21 + 3*h**4/4 - 10*h. What is the third derivative of x(g) wrt g?
-120*g**2
Let c(r) = 4*r + 1. Let k be c(1). Differentiate -10*p + k + 10*p - 4*p**2 wrt p.
-8*p
Let h(p) be the first derivative of 3*p**6/2 - 2*p**3 + 1. What is the third derivative of h(w) wrt w?
540*w**2
Let z(r) = r**3 - 4*r**2 + 2*r - 5. Let g be z(4). Suppose -2*v - 6 = 2*q + 2*q, 4*q + 11 = -g*v. Differentiate 2*k**3 + q - 5 + 2 wrt k.
6*k**2
Let m be (-8)/(-1 + (-1 - -1)). Suppose -5 = 5*k, x + 4*k - 8 = m*k. What is the second derivative of x*b**2 - 5*b**2 + 2*b - b wrt b?
-2
Suppose -4*x + 24 - 8 = 0. Find the second derivative of x*b + 3*b**4 - b - 5*b**4 wrt b.
-24*b**2
Let p(i) = 10. Let j(w) = w + 11. Let t(m) = 5*j(m) - 6*p(m). Differentiate t(o) with respect to o.
5
Let i(n) = -n**3 - n**2 + n - 1. Let q(v) = 51*v**3 - 46*v**2 - 2*v + 2. Let d(g) = 2*i(g) + q(g). Find the third derivative of d(h) wrt h.
294
Let l(q) be the third derivative of 0*q**5 - 3*q**2 - 1/40*q**6 + 1/8*q**4 + 0*q + 0*q**3 + 0. What is the second derivative of l(r) wrt r?
-18*r
What is the second derivative of 2*j**3 + 3*j - 3*j**3 - 2*j**3 wrt j?
-18*j
Let v(f) = -9*f**5 + 5*f**4 + 14*f**2 - 5*f. Let p(x) = 5*x**5 - 2*x**4 - 7*x**2 + 2*x. Let s(y) = -5*p(y) - 2*v(y). What is the third derivative of s(q) wrt q?
-420*q**2
Find the third derivative of 52*x**4 + 10*x**2 + 20*x**4 - 51*x**4 wrt x.
504*x
Let i(v) = 7*v**5 - 2*v**2 + 2. Let o(f) = -28*f**5 + 9*f**2 + f - 9. Let z(t) = 9*i(t) + 2*o(t). What is the second derivative of z(u) wrt u?
140*u**3
Let w(y) be the third derivative of -11*y**9/504 + 7*y**5/60 - 29*y**2. Find the third derivative of w(b) wrt b.
-1320*b**3
Suppose 0 = 4*l - 12 - 4. What is the derivative of 5 - 3*z**2 + 4*z - l*z - 4 wrt z?
-6*z
Let q(c) = 41*c - 59. Let o(r) = -40*r + 58. Let i(n) = -5*o(n) - 6*q(n). Differentiate i(b) with respect to b.
-46
Suppose -20*i + 25*i = 0. Let f(s) be the first derivative of 0*s**4 + i*s**3 + 0*s - 2 - 3/5*s**5 - 1/2*s**2. Find the second derivative of f(v) wrt v.
-36*v**2
Find the third derivative of -2*w**2 + 0*w**3 + 0*w**3 - 39*w**4 + 35*w**4 wrt w.
-96*w
Suppose -46 = -3*b + 8. Suppose 6*j + n - 10 = 3*j, -j = 4*n - b. Find the third derivative of 4*x**2 + x**5 - 2*x**j - 2*x**5 wrt x.
-60*x**2
Let f(a) be the first derivative of -a**5/12 + a**4/24 - a**2 - 2. Let v(b) be the second derivative of f(b). Find the second derivative of v(z) wrt z.
-10
Let m(c) = -3*c**2 + 5*c - 5. Let l(d) = -d**2 - 1. Let k(q) = 5*l(q) - m(q). What is the second derivative of k(i) wrt i?
-4
Let p(q) be the first derivative of q**7/14 + q**4/12 + 2*q - 1. Let h(k) be the first derivative of p(k). Find the third derivative of h(b) wrt b.
180*b**2
Let n(h) be the first derivative of 7*h**6/2 + h**2 + 5*h + 37. What is the second derivative of n(w) wrt w?
420*w**3
Suppose -x = 2*x - 33. Let j = -8 + x. What is the second derivative of -4*k**3 + 3*k + 5*k**3 + k**j wrt k?
12*k
What is the third derivative of 2*f**2 + 4*f**3 + 6*f**3 - 4*f**3 wrt f?
36
Let a(j) be the first derivative of 4*j**4 - 23*j**3/3 - 10. What is the third derivative of a(d) wrt d?
96
Let q(f) be the third derivative of 0 - 1/30*f**5 - 1/3*f**3 - 3*f**2 + 0*f**4 + 0*f. Differentiate q(s) wrt s.
-4*s
Let c = 7 + -3. What is the derivative of -c*h + 3 + 6*h - 6 wrt h?
2
Find the third derivative of -8*n**3 + 37*n**2 + 14*n**3 - 51*n**2 + 15*n**3 wrt n.
126
Let j(h) = -h**3 - 6*h**2 + 6*h - 4. Let s be j(-7). Suppose -2*p = s - 9. What is the third derivative of v**5 + 3*v**5 - v**2 - p*v**5 wrt v?
60*v**2
Let v(q) = -q**3 - 4*q**2 + 6*q + 7. Let m be v(-5). What is the second derivative of -6*w**3 - 3*w + m*w**3 - 4*w + 2*w**3 wrt w?
-12*w
Let a(w) = 32*w**3 - 20*w**2 - 6*w. Let n(b) = -31*b**3 + 19*b**2 + 5*b. Let c(u) = -5*a(u) - 6*n(u). What is the third derivative of c(j) wrt j?
156
Differentiate -25*j**2 + 16*j**2 + 19*j**2 + j + j**2 - 46 wrt j.
22*j + 1
Let o(x) be the second derivative of x**2 + 0*x**3 + 0 - 1/4*x**4 + x. Find the first derivative of o(d) wrt d.
-6*d
Let p(t) = 28*t**4 - 10*t**3 - 16*t**2. Let u(h) = 9*h**4 - 3*h**3 - 5*h**2. Let m(s) = 6*p(s) - 20*u(s). What is the third derivative of m(f) wrt f?
-288*f
Let d be 3 + 0/(-1 + 0). What is the third derivative of -h**2 + 0*h**2 + 0*h**3 - h**3 + 2*h**d wrt h?
6
Find the second derivative of -3*h - 4*h**5 + 4*h**5 + 9*h + 2*h**5 wrt h.
40*h**3
