 b**3 + 4*b**2 - 1 - y*b**2 wrt b.
3*b**2
Let t(h) = -h**3 + 5*h**2 + 6*h + 2. Let d be t(6). Differentiate -4 - 2 + 3 - 3*z**3 + d wrt z.
-9*z**2
Let x(i) be the first derivative of -i**2 - 4*i - 14. Find the first derivative of x(m) wrt m.
-2
Let t(s) = 2*s**2 + 3*s + 1. Let g(q) = -8 + 5*q**2 + 9 + 4*q - 2*q**2. Let b(m) = 3*g(m) - 4*t(m). Differentiate b(z) wrt z.
2*z
Let u(i) be the third derivative of -2*i**2 + 0 + 0*i - 1/60*i**5 - 1/3*i**3 + 0*i**4. Differentiate u(q) wrt q.
-2*q
Let u(c) = c**3 + 3*c**2 + 2*c + 3. Let d(m) = -2*m**3 - 5*m**2 - 3*m - 5. Let j(a) = -6*d(a) - 10*u(a). Find the second derivative of j(o) wrt o.
12*o
Find the first derivative of 18*m**2 + m**4 - 6 - 2 - m**4 - m**4 wrt m.
-4*m**3 + 36*m
Suppose 4*a + 0 = 4*c - 4, 4*a = 2*c + 2. Find the second derivative of 5*x**2 - 3*x**a - 5*x + 2*x**2 + 2*x wrt x.
8
Let m(w) = -5*w**3 + 14*w**2 + 19*w. Let h(j) = -4*j**3 + 14*j**2 + 20*j. Let b(n) = 6*h(n) - 5*m(n). Find the second derivative of b(t) wrt t.
6*t + 28
Let c(m) be the first derivative of m**8/1680 + m**6/120 - m**3 + 3. Let s(l) be the third derivative of c(l). What is the third derivative of s(w) wrt w?
24*w
Let r(f) = 3*f**2 + 2*f + 1. Let p be r(-2). Suppose -p = 5*s - 34. Find the third derivative of -2*j**2 + 3*j**5 - 4*j**s + 2*j**5 wrt j.
60*j**2
Find the second derivative of -5 - 19*y**4 + 6*y + 14 - 9 wrt y.
-228*y**2
What is the third derivative of 6*v**5 - 6*v**2 - 8*v**2 - 4*v**5 + 2*v**2 wrt v?
120*v**2
Let n(o) be the first derivative of -o**7/105 + o**5/60 - o**2/2 + 2. Let r(f) be the second derivative of n(f). What is the third derivative of r(m) wrt m?
-48*m
Let j(i) be the third derivative of -i**5/10 + 17*i**4/24 + 17*i**2. What is the second derivative of j(l) wrt l?
-12
What is the third derivative of -17*w**6 + 7*w**6 + 34*w**6 - 14*w**2 wrt w?
2880*w**3
Differentiate 3 - 16 + 2*p**2 + p**2 + 6*p**2 with respect to p.
18*p
Let c(s) be the third derivative of -1/2*s**3 - s**2 + 0 + 0*s**4 + 0*s**5 + 0*s - 1/60*s**6. Differentiate c(h) wrt h.
-6*h**2
Let s(u) be the second derivative of 1/3*u**3 + 0 + u**2 + u. Differentiate s(p) with respect to p.
2
Find the third derivative of -24*k**6 + 0*k**2 + 14*k**6 + 12*k**2 wrt k.
-1200*k**3
Let s(y) be the second derivative of -2*y + 0*y**3 + 0*y**4 + 7/20*y**5 + 1/2*y**2 + 0. Differentiate s(o) wrt o.
21*o**2
Let q(d) be the second derivative of 1/6*d**4 + 0 + 0*d**2 + 5/6*d**3 + d. Find the second derivative of q(j) wrt j.
4
Suppose 9 = 5*o - 2*o. Differentiate a**3 - 7*a**3 - o + 4*a**3 wrt a.
-6*a**2
Find the first derivative of 2*f**3 - 11*f**3 + 0*f**3 + 13 wrt f.
-27*f**2
Let y be (-1 - 2)*(1 + -2). Suppose -5*j - 4 - 6 = 0, -y*f = 5*j - 2. Find the second derivative of w + w**4 + 2*w**f - 2*w wrt w.
36*w**2
Let y(f) = 36*f**2 + 60*f + 17. Let l(u) = 6*u**2 + 10*u + 3. Let n(w) = -34*l(w) + 6*y(w). Find the second derivative of n(q) wrt q.
24
Let n be (6/(-8))/((-4)/(-16)). Let c be n/(-9) + (-2)/6. Differentiate c - 2 + 2*x + 4 wrt x.
2
Let k(s) = 33*s - 36. Let m(z) = -32*z + 35. Let f(q) = 4*k(q) + 5*m(q). Find the first derivative of f(r) wrt r.
-28
Let k(u) be the second derivative of -u**7/42 + 7*u**4/24 + 4*u**2 - 9*u. Let h(b) be the first derivative of k(b). Find the second derivative of h(f) wrt f.
-60*f**2
Let y(q) = 9*q - 2. Let v(u) = u**2 + 10*u - 3. Let o(a) = 2*v(a) - 3*y(a). What is the second derivative of o(p) wrt p?
4
Let m(o) = -o + 2. Let r(h) = 21*h + 32. Let q(a) = -6*m(a) + r(a). Differentiate q(l) wrt l.
27
Let y(q) = q - 5. Suppose -2*l = 3*s + s - 20, 42 = 5*l + 2*s. Let k be y(l). Find the third derivative of k*h**2 + h**4 - 2*h**2 + h**4 wrt h.
48*h
What is the derivative of 9 - 83*a**4 - 74*a**4 + 152*a**4 wrt a?
-20*a**3
Let w(j) be the second derivative of -j**8/420 + j**4/8 + 2*j**3/3 - j. Let g(t) be the second derivative of w(t). Differentiate g(u) with respect to u.
-16*u**3
Let k(h) be the third derivative of 0*h**4 + 0*h - 1/20*h**5 + 0*h**7 - 1/112*h**8 + 3*h**2 + 0*h**6 + 0 + 0*h**3. What is the third derivative of k(b) wrt b?
-180*b**2
Let i(u) be the second derivative of u**5/5 + 2*u**3 + 7*u. What is the second derivative of i(f) wrt f?
24*f
Let k(j) be the second derivative of -8*j**7/21 - j**3/3 - 12*j. Find the second derivative of k(l) wrt l.
-320*l**3
Let s(t) be the first derivative of 39*t**5/5 - 3*t**2/2 + 30. Find the second derivative of s(r) wrt r.
468*r**2
Let f(p) = -39*p**3 + 21*p - 51. Let i(q) = 4*q**3 - 2*q + 5. Let o(h) = 4*f(h) + 42*i(h). Differentiate o(d) with respect to d.
36*d**2
Let c(d) be the first derivative of -2*d**5/5 - 2*d**4 - 8*d**3/3 - 19. Find the third derivative of c(g) wrt g.
-48*g - 48
Suppose 13*o - 6*o = 0. Let k(t) be the first derivative of o*t**3 + 0*t**4 - t + 1/5*t**5 - 2 + 0*t**2. Differentiate k(y) wrt y.
4*y**3
Let h be (-5)/10 - 11/2. Let q = 8 + h. What is the second derivative of 5*v**2 + 4*v**2 - 10*v**q + 0*v**2 + 4*v wrt v?
-2
Let l(y) = -y**5 - y**4 + y**3 - y. Let c(k) = 18*k**5 + 4*k**4 - 4*k**3 + 8*k. Let q(p) = c(p) + 4*l(p). What is the second derivative of q(b) wrt b?
280*b**3
Let m(o) be the second derivative of -5*o**4/12 - 11*o**2/2 - 4*o. What is the derivative of m(v) wrt v?
-10*v
Suppose 4*g = g. Let s(b) be the third derivative of 0*b**4 + 0*b + 2*b**2 - 1/20*b**5 + 1/3*b**3 + g. Differentiate s(k) with respect to k.
-6*k
Let f(t) = 14*t**2 + t. Let h be f(-1). What is the derivative of 4 - h - 4*l + 8 wrt l?
-4
Suppose -2*t - 6 = -2*h, 4*h - 28 = 3*t - 7*t. Suppose t*v = -v. Find the second derivative of -2*r + 2*r**3 + 0*r**3 + v*r wrt r.
12*r
Find the third derivative of 0*a**3 + 12*a**2 + a**3 - 6*a**3 + 28*a**2 wrt a.
-30
Let w(z) be the third derivative of -z**4/24 - z**3 - z**2. Let k be w(-8). Find the third derivative of -r**2 - r**2 - k*r + 2*r - r**6 wrt r.
-120*r**3
Let o(k) = k**4 + k**2 + k + 1. Let h(m) = 17*m**4 + 4*m**2 - 10*m + 4. Let v(y) = h(y) - 4*o(y). Find the second derivative of v(j) wrt j.
156*j**2
Let s(b) = -b**2 + 1. Let j(r) = 4*r**2 - 8*r - 1. Let n(l) = j(l) + 3*s(l). Let m be n(8). Find the third derivative of 3*v - 2*v**5 - 2*v - v - 3*v**m wrt v.
-120*v**2
Let m be ((-4)/(-10))/((-1)/(-5)). Find the third derivative of 18*a**5 - 2*a**2 + 5*a**m - a**6 - 18*a**5 wrt a.
-120*a**3
Let y(i) be the first derivative of 0*i**4 + 0*i + 0*i**3 + 5 - 7/2*i**2 + 0*i**5 - i**6. Find the second derivative of y(b) wrt b.
-120*b**3
Suppose -92*b = -94*b. Let r(l) be the second derivative of b*l**3 + 0 + l**2 + 1/4*l**4 - 3*l. Find the first derivative of r(n) wrt n.
6*n
Let v(r) be the first derivative of r**4/4 + 2*r**3 + 3*r**2 + 7*r + 1. Let n be v(-5). What is the derivative of n + 7*b - 3*b - 3*b wrt b?
1
Let z(w) = -2*w + 2. Let l(f) = 11*f - 11. Suppose -3*b - 4 = -43. Suppose 0 = -2*h - 81 + b. Let m(j) = h*z(j) - 6*l(j). Differentiate m(i) with respect to i.
2
Let x(b) = 21*b**5 - 17*b**2 + 6. Let i(t) = 63*t**5 - 52*t**2 + 17. Let l(u) = 6*i(u) - 17*x(u). What is the third derivative of l(c) wrt c?
1260*c**2
Let u(y) = y**3 - 7*y**2 + 8*y - 9. Let w(l) = 3*l - 6. Let o be w(4). Let s be u(o). What is the third derivative of p**4 + 2*p + p - 3*p + s*p**2 wrt p?
24*p
Let w = 2 - -1. Find the second derivative of v**w + 2*v + 3*v**2 - 3*v**2 wrt v.
6*v
Let a(u) be the first derivative of u**10/1008 - u**6/120 - u**3/3 - 3. Let z(f) be the third derivative of a(f). What is the third derivative of z(q) wrt q?
600*q**3
Let w(o) be the second derivative of o**6/10 - 14*o**3/3 + 31*o. Find the second derivative of w(y) wrt y.
36*y**2
Let h(k) be the second derivative of k**6/360 - k**4/12 + 2*k**3/3 + 2*k. Let g(j) be the second derivative of h(j). Find the first derivative of g(y) wrt y.
2*y
Let o(b) be the third derivative of -b**5/30 - 7*b**4/24 - 2*b**2. What is the second derivative of o(s) wrt s?
-4
Suppose 2*z + 4*x + 4 = 0, x - 20 = -2*z - 2*z. Suppose -4*f + z + 10 = 0. Find the second derivative of -v - f*v**5 + v**5 - v wrt v.
-60*v**3
Let y(s) be the third derivative of -s**5/20 + s**4/12 + 2*s**2. Find the second derivative of y(h) wrt h.
-6
Suppose 4*t = 4*h + h + 90, 0 = -t - 3*h + 14. Suppose 0 = 5*i + 5*p - t, 0 - 11 = -5*i + 4*p. What is the first derivative of -x**3 + i - 1 + 0 wr