*2 wrt b?
2*b
Let v(b) = 4*b**4 - 8*b**3 + 8*b - 5. Let n(t) = t**4 - 3*t**3 + 3*t - 2. Let k(f) = 8*n(f) - 3*v(f). Differentiate k(z) with respect to z.
-16*z**3
Suppose 33 = 3*p - 6. Suppose -2*q = 5 - p. Find the third derivative of r**q - r**4 + r**2 - 2*r**4 wrt r.
-48*r
Find the third derivative of s - 20*s**2 + 14*s**2 - s + 14*s**4 wrt s.
336*s
What is the third derivative of 17*t**6 - 6*t**6 + 36*t**2 - 6*t + 6*t wrt t?
1320*t**3
Suppose 0 = x + 2*x. Let t be (x - 1)/(2 + -3). What is the first derivative of 5*m**3 + m**4 + t - 5*m**3 wrt m?
4*m**3
Let b(p) = -21*p**2 + 2*p + 1. Let h(t) = 22*t**2 - 3*t. Let y(u) = -3*b(u) - 2*h(u). Differentiate y(f) wrt f.
38*f
Suppose -3*q = -7 - 5. Find the first derivative of -q*y - y - 5 + 1 wrt y.
-5
Suppose -3*m + 1 = -11. Find the second derivative of -4*i + m*i - 2*i + 2*i**2 wrt i.
4
Suppose -3*m + 6 = -9. Suppose -5*p - 18 = -4*l + m*l, 5*l + 4*p = -6. Find the second derivative of 4*v**2 + 3*v - v**2 - 2*v**l wrt v.
2
Find the second derivative of -15*b**4 - 73*b + 66*b - 19*b**4 wrt b.
-408*b**2
Find the third derivative of 14*r**2 - 2*r**5 - 6*r**5 - 3*r**5 + 0*r**2 wrt r.
-660*r**2
Differentiate 35 + 8*g**4 - 26*g**4 - 7*g**4 - 38*g**4 with respect to g.
-252*g**3
What is the third derivative of -6*d**2 - 3*d**3 - d**2 - d**3 wrt d?
-24
Let c(i) be the third derivative of i**7/70 - 5*i**3/6 - 2*i**2. What is the derivative of c(l) wrt l?
12*l**3
Let b(p) = 74*p**3 + 8*p**2 - 43*p - 8. Let d(i) = -25*i**3 - 3*i**2 + 14*i + 3. Let g(v) = -3*b(v) - 8*d(v). What is the second derivative of g(x) wrt x?
-132*x
Let y(k) be the third derivative of -k**7/5040 + k**6/720 + k**5/10 - 2*k**2. Let w(n) be the third derivative of y(n). Differentiate w(o) wrt o.
-1
Suppose 0*m - 3*m = 0. Suppose -4*o - 15 = -5*g + o, m = g - 5*o - 7. Differentiate -6*r + r**g + 6*r - 3 with respect to r.
2*r
Let s(u) be the third derivative of -u**7/70 + u**5/15 + 4*u**2. What is the third derivative of s(m) wrt m?
-72*m
Let n(m) be the second derivative of 0*m**3 + 0 + 0*m**4 + 4*m + 1/2*m**2 - 1/5*m**5. Find the first derivative of n(f) wrt f.
-12*f**2
Suppose 5*w - 11 - 19 = 0. Find the third derivative of -3*h**6 + 13*h**2 + 8*h**6 + 0*h**w - 3*h**2 wrt h.
600*h**3
Let t(m) be the first derivative of 5*m**2 - 3*m**2 - 3*m - 1 + m. Differentiate t(p) wrt p.
4
Suppose -r - 4*g - 5 = -g, 3*r + 15 = -g. Let j = 8 + r. What is the second derivative of j*w - 4*w**2 + w - 5 + 5 wrt w?
-8
Let r(q) = 1 - 3 + 1 - 5. Let o(u) = u - 5. Let k(c) = -5*o(c) + 4*r(c). What is the derivative of k(n) wrt n?
-5
What is the second derivative of 3*m**5 + 6*m**5 - m**5 - 8*m wrt m?
160*m**3
Let a(y) = 4*y**3 + 7*y**2. Let z(l) = 5*l**3 + 8*l**2. Let r(i) = -3*a(i) + 2*z(i). What is the third derivative of r(q) wrt q?
-12
Let x = 5 - 9/2. Let k(n) be the first derivative of -x*n**4 + 0*n**2 + 0*n + 1 - 2/3*n**3. Find the third derivative of k(z) wrt z.
-12
Suppose -9 = -4*u + 19. Let r = 10 - u. Differentiate -j + 2 + r*j**3 + j - 5*j**3 with respect to j.
-6*j**2
Let x be (0 + 0)/(-2) - -2. Differentiate 4*y**4 - x - 2*y**4 + 1 - 1 with respect to y.
8*y**3
Let s(t) be the second derivative of t**7/280 + t**4/12 - t**3/6 - t. Let f(y) be the second derivative of s(y). Differentiate f(h) with respect to h.
9*h**2
Let i(u) = -5*u**2 + 0*u**2 - u**3 + 7 - 4. Let m be i(-5). What is the third derivative of -2*c**3 + 5*c**2 - 6*c**2 + c**m wrt c?
-6
Let n(f) be the first derivative of -22*f**7/7 + 4*f**3 - 11. What is the third derivative of n(m) wrt m?
-2640*m**3
Suppose 3*a + 2*a + 37 = 4*h, 3*h + a - 4 = 0. Find the second derivative of -h*k + 5*k**2 + 8*k**2 - 8*k**2 wrt k.
10
Let k be 0*-2*2/(-8). Let p(i) be the first derivative of i**2 + 2 + k*i**3 + 0*i + 1/2*i**4. Find the second derivative of p(s) wrt s.
12*s
Let o = 10 - 7. Find the third derivative of 2*z**4 - o*z**2 - z**2 - 4*z**4 wrt z.
-48*z
Let a(y) be the third derivative of 13*y**5/30 - y**4/4 + 11*y**2. What is the second derivative of a(t) wrt t?
52
Let d(y) = 6*y**2 - y + 27. Let a(k) = -5*k**2 - 27. Let m(t) = -3*a(t) - 2*d(t). Find the first derivative of m(x) wrt x.
6*x + 2
Let b(w) be the third derivative of -w**9/84 - w**5/30 - w**2. Find the third derivative of b(n) wrt n.
-720*n**3
Suppose 4*m - 27 = 5*d, -m + 2*d = -2*d - 15. Differentiate 0 - y - 2 - m*y + 3 with respect to y.
-4
Suppose 2*c = -4*l + 6*l - 18, 5 = 5*c. Let k(m) = m**2 - 9*m - 8. Let d be k(l). Differentiate -d - 1 + 2 - i**3 with respect to i.
-3*i**2
Let s(g) be the first derivative of 6*g**4 - 7*g**2/2 - 16. Find the second derivative of s(h) wrt h.
144*h
Let d be 2/(-9) + 80/36. Let s(j) = 9*j**4 + j**2. Let y(h) = -3*h**4. Let m = 8 + -1. Let c(t) = d*s(t) + m*y(t). Find the third derivative of c(n) wrt n.
-72*n
Let h(g) = 38*g**3 + 17*g**2 + 17*g + 26. Let w(p) = 13*p**3 + 6*p**2 + 6*p + 9. Let q(k) = -6*h(k) + 17*w(k). Find the first derivative of q(t) wrt t.
-21*t**2
Let s = -4 + 10. Suppose 3*m - s = 3*l, l + 4*m = -2*l + 22. What is the second derivative of 4*g - g - l*g - g**3 - 4*g wrt g?
-6*g
Suppose 5 = 5*f + 5*c - 20, 4*f - 2*c = 20. Suppose 2*n = f*n - 9. Differentiate -1 + 3*w**2 - 1 + w**2 + n wrt w.
8*w
Find the third derivative of 3*v**3 - 26*v**2 + 4 - 4 + 32*v**2 wrt v.
18
Let z(v) be the first derivative of -v**7/105 - v**3/6 + v**2 + 3. Let t(y) be the second derivative of z(y). Find the first derivative of t(m) wrt m.
-8*m**3
Let o(i) be the third derivative of i**8/42 - 5*i**4/12 - 3*i**2. What is the second derivative of o(j) wrt j?
160*j**3
Let y(z) = 2*z**2 + 13*z + 9. Let i be y(-6). Find the second derivative of -2*w**3 - w - w**3 - w**i wrt w.
-24*w
Let x(t) = 2*t**3 + t**2 - t. Let f(h) = 87*h**3 + 6*h**2 - 4*h + 4. Let k(v) = f(v) - 6*x(v). Find the second derivative of k(g) wrt g.
450*g
What is the second derivative of 38*r**2 - 4*r + 42*r**2 - 27*r**2 + 6*r - 3 wrt r?
106
Find the third derivative of 14*p**2 + 10*p**5 + 586*p**3 - 586*p**3 wrt p.
600*p**2
Let b(o) be the first derivative of -o**8/840 - o**5/120 - o**3/3 - 2. Let i(p) be the third derivative of b(p). What is the second derivative of i(j) wrt j?
-24*j**2
Let g be 296/36 + (-2)/9. Find the second derivative of -5*u - 16*u**2 + 3*u**2 + g*u**2 wrt u.
-10
Let z(f) be the second derivative of 22*f**7/21 - 25*f**3/3 + f - 24. Find the second derivative of z(d) wrt d.
880*d**3
Let j(g) = 64*g**2 - 5*g + 21. Let k(r) = 31*r**2 - 2*r + 11. Let p(y) = -6*j(y) + 11*k(y). Find the second derivative of p(m) wrt m.
-86
Let g = -2 - -2. Let u = g + -1. Let x(s) = -4*s**2 + 2*s - 2. Let v(r) = -r**2 - 1. Let w(i) = u*x(i) + 2*v(i). Find the second derivative of w(b) wrt b.
4
Let v(t) = -t - 1. Let q(p) = 5*p**2 - 6*p - 9. Suppose -4*o + 3 = -7*o. Let m(s) = o*q(s) + 6*v(s). Find the first derivative of m(x) wrt x.
-10*x
Let x = 8 + -4. Find the third derivative of 2*f - 5*f**x + 0*f - 2*f - 4*f**2 wrt f.
-120*f
Let v(j) be the second derivative of -3*j**7/14 + 5*j**3/2 - 14*j. Find the second derivative of v(b) wrt b.
-180*b**3
Suppose 0 = -2*i - 3*i + 5, 0 = -3*x - i + 28. Let k = x + -7. Find the third derivative of -w + w - w**3 - k*w**2 wrt w.
-6
Let w(k) be the first derivative of -k**5/10 + k**2/2 - 2*k + 1. Let x(z) be the first derivative of w(z). What is the derivative of x(b) wrt b?
-6*b**2
Let o(r) be the third derivative of 4*r**2 + 0*r + 0*r**5 + 0 + 1/6*r**3 + 1/60*r**6 + 0*r**4. Find the first derivative of o(a) wrt a.
6*a**2
Let p(d) be the second derivative of 5/2*d**2 - 8*d + 1/30*d**6 + 0*d**5 + 0*d**4 + 0*d**3 + 0. Differentiate p(j) wrt j.
4*j**3
Let g be (4/(-7))/(14/(-49)). Let a = g + 0. Find the second derivative of a*m**4 - 2*m**4 + 3*m**5 + m**5 - 2*m wrt m.
80*m**3
Let b = -20 - -23. Let k(h) be the second derivative of -1/4*h**4 + h + 0*h**b + 0 + 0*h**2 + 1/10*h**5. Find the third derivative of k(x) wrt x.
12
Let u(w) be the third derivative of -w**6/90 - w**5/40 - w**3/3 + 5*w**2. Let v(i) be the first derivative of u(i). What is the second derivative of v(r) wrt r?
-8
Let n(h) be the second derivative of -3/2*h**2 + 0 + 3*h - 7/6*h**3. What is the derivative of n(l) wrt l?
-7
Let l(p) = -10*p**3 + p**2 - 2*p + 1. Let z(k) = -k**3 + k**2 - k + 1. Let s(r) = -2*l(r) + 2*z(r