20. Let w(b) be the first derivative of -b + 0*b**m + 0*b**3 + 2/5*b**5 + 0*b**4 + 2. Differentiate w(c) with respect to c.
8*c**3
Find the first derivative of 17*a - 31 - 36*a**2 - 12*a - 6*a wrt a.
-72*a - 1
Let i(j) be the first derivative of -1 - 1/3*j**3 + 0*j**2 + 5*j. What is the first derivative of i(r) wrt r?
-2*r
Suppose -3*r = -0*r - 2*q - 25, 0 = -5*r + 5*q + 45. Let o(b) = b - 1. Let z be o(r). Find the third derivative of -w**2 + w**6 + w**z - w**2 wrt w.
240*w**3
Let p(q) = -41*q**5 + 5*q**3 + 47*q. Let s(b) = -21*b**5 + 3*b**3 + 24*b. Let k(d) = 3*p(d) - 5*s(d). Find the second derivative of k(t) wrt t.
-360*t**3
Let m be (-5 + 4)/((-2)/4). Suppose -t - 2 = -4. Find the second derivative of -t*p + 3*p + p**m - 3*p wrt p.
2
Let z = -6 + 8. Suppose -z*p + 4*p - 8 = 0. What is the second derivative of -o - 2*o**4 - o**p + 4*o**4 wrt o?
12*o**2
Differentiate -109*l**3 - 5 + 40*l**3 + 40*l**3 with respect to l.
-87*l**2
Suppose 2*g - 2 = 2. What is the third derivative of 2*t**6 + 13*t**g - 5*t**2 + 2*t**6 wrt t?
480*t**3
Find the third derivative of 37*y - 9*y**3 - 37*y + 8*y**2 wrt y.
-54
Let q(w) be the third derivative of -11*w**8/336 + 3*w**5/5 + 39*w**2. What is the third derivative of q(j) wrt j?
-660*j**2
Let z(s) be the second derivative of 0*s**7 - 1/28*s**8 + 0*s**3 + 0*s**2 + 0*s**6 + s + 0*s**5 + 0 - 1/6*s**4. Find the third derivative of z(x) wrt x.
-240*x**3
Let n(z) = -z**2 - 3*z - 1. Let r be n(-2). What is the first derivative of -6 + 7*j + 11 + r - 1 wrt j?
7
Suppose -5*c - 41 = 14. Let a be 4/(-6) - c/3. Find the second derivative of -a*x**2 + x - 3*x**2 + 5*x**2 wrt x.
-2
Let a(b) be the second derivative of 5*b**4/6 - 4*b**3/3 - 6*b. What is the second derivative of a(f) wrt f?
20
Suppose -4*r + p - 14 = -0*p, 4*p = r + 11. Let y(s) = -s + 1. Let g be y(r). Find the second derivative of -17 + 3*c**g + 17 + 2*c wrt c.
36*c**2
Let z(h) = h**5 - h**3 + h**2. Let u(l) = 4*l**5 + 5*l**3 + 25*l**2. Let k(w) = -u(w) - 5*z(w). What is the third derivative of k(r) wrt r?
-540*r**2
Suppose d - 7 = 1. Find the third derivative of -d*t**3 - 3*t**3 - 4*t**2 + 3*t**2 wrt t.
-66
Let u(m) = -m**5 + m**4 + m**2 + 1. Let j(v) = 2*v**4 + 2*v**2 + 13*v + 2. Let b(c) = -j(c) + 2*u(c). Find the second derivative of b(n) wrt n.
-40*n**3
Let a(n) = 29*n - 13. Let d(s) = -15*s + 7. Let v(k) = 6*a(k) + 11*d(k). Differentiate v(y) wrt y.
9
Let i(g) be the first derivative of -8*g**3/3 - 7*g - 1. What is the derivative of i(c) wrt c?
-16*c
Let t(l) = -l + 1. Let j(k) = 1. Let c(f) = j(f) + t(f). What is the derivative of c(y) wrt y?
-1
Let x(o) = -o**3 - 4*o**2 - 5*o - 4. Let z be x(-3). Find the second derivative of d - d**3 - 13*d**z + 13*d**2 wrt d.
-6*d
Let h(y) be the first derivative of 5*y**4/4 + 8*y**3/3 - 11. Find the third derivative of h(d) wrt d.
30
What is the second derivative of -5 - 15*j**5 - 4*j + 0 + 5 wrt j?
-300*j**3
Find the second derivative of 8 - 8 + 19*j**5 - 6*j**5 + j wrt j.
260*j**3
Let i(z) be the third derivative of z**2 + 0 + 0*z - 1/24*z**4 + 0*z**3 + 0*z**5 - 1/120*z**6. Find the second derivative of i(j) wrt j.
-6*j
Let s(y) be the third derivative of 2/105*y**7 - 1/3*y**3 + 0*y**5 + 0*y + 0 + 0*y**4 + 0*y**6 + 6*y**2. Find the first derivative of s(b) wrt b.
16*b**3
Let j(z) be the third derivative of -1/20*z**5 + 0*z + 1/24*z**4 + 0*z**3 - 5*z**2 + 0. What is the second derivative of j(a) wrt a?
-6
Let x(r) = 42*r**3 + 3*r**2 - 6. Let p(j) = -41*j**3 - 3*j**2 + 5. Let c(n) = -4*p(n) - 3*x(n). What is the third derivative of c(g) wrt g?
228
Let l(g) be the second derivative of -6*g**6/5 + 7*g**4/2 - 38*g. Find the third derivative of l(u) wrt u.
-864*u
Let c(z) = -z**2 - 4*z - 7. Let f be c(-5). Let o be 1/((f/9)/(-4)). Differentiate 6 - o + m + 2*m - 5*m with respect to m.
-2
Let p(u) = 2*u**2 + 18*u. Let z(b) = b. Let v(i) = p(i) - 5*z(i). Find the second derivative of v(y) wrt y.
4
Suppose 3 = 5*d - 12. Suppose -4*l + 3*m + 12 = 0, 0 = l - 6*l - 3*m + 15. What is the first derivative of d - r + l*r - 1 - r wrt r?
1
Let p = 21 + -29. Let l = p + 10. What is the third derivative of 6*s**2 + s - 2*s**l - s - s**3 wrt s?
-6
Suppose 17*m - 6 = 14*m. Let b(g) be the second derivative of 0*g**2 - 1/6*g**4 + 0 + m*g + 1/3*g**3. What is the second derivative of b(y) wrt y?
-4
Find the first derivative of -2 + 2 - 6*l**3 - 1 wrt l.
-18*l**2
Let c(n) = n + 39. Let t(w) = 4. Let q(g) = 4*c(g) - 36*t(g). Find the first derivative of q(h) wrt h.
4
Let b(r) be the third derivative of r**7/42 + 2*r**5/15 - 15*r**2. Find the third derivative of b(x) wrt x.
120*x
Let v(d) = -d**3 - 11*d**2 - 11*d - 4. Let r = -9 + -1. Let h be v(r). What is the third derivative of -h*c**5 + 3*c**6 + 6*c**5 + 2*c**2 wrt c?
360*c**3
Let d(u) = 6*u**5 + u**4 + 48*u**2 - 3*u. Let t(s) = -12*s**5 - 2*s**4 - 96*s**2 + 7*s. Let a(b) = -7*d(b) - 3*t(b). Find the third derivative of a(h) wrt h.
-360*h**2 - 24*h
Suppose -13 + 33 = -5*j. Let i = 7 + j. What is the second derivative of 3*z - z**i - 2*z - z**3 wrt z?
-12*z
Suppose -4*x = -14 - 10. What is the third derivative of 7*r**x + 0*r**6 + 2*r**2 - 2*r**6 wrt r?
600*r**3
Let i(l) be the third derivative of 5*l**8/42 - 23*l**5/60 + 5*l**2. Find the third derivative of i(u) wrt u.
2400*u**2
Let b be (-1)/(3/2 + -2). Suppose -h = 3*h, b*f + 5*h = 10. Find the second derivative of 4*o - 2*o + 3*o**4 - f*o**4 wrt o.
-24*o**2
Let z(d) be the third derivative of 5*d**6/8 - 13*d**5/12 + 19*d**2 - d. Find the third derivative of z(i) wrt i.
450
Let o(f) = -3*f**4 - 7*f**3 - 13*f**2 - 7*f. Let x(b) = -b**4 + b**3 + b**2 + b. Let i(j) = 2*o(j) + 14*x(j). What is the third derivative of i(m) wrt m?
-480*m
Let y be 1 + 2 + -3 - 0. What is the first derivative of 3 + 1 + y*a + 4*a wrt a?
4
Let t(u) be the third derivative of u**7/210 + u**5/40 + u**3/2 + 5*u**2. Let o(x) be the first derivative of t(x). Find the second derivative of o(g) wrt g.
24*g
Let l(b) = b**2 - 2. Let r(j) = 46*j**3 + 5*j**2 - 3*j - 2. Let n(s) = 5*l(s) - r(s). What is the second derivative of n(a) wrt a?
-276*a
Suppose -3 = d, 0 = 4*c - 3*c - 2*d - 12. Let b(h) = -h + 8. Let g be b(c). What is the first derivative of -g - 1 + 4 + l**4 wrt l?
4*l**3
Suppose 5*h - 35 = -5*a, 3*a - a = h - 4. Suppose s - 28 = -4*z, -4*s + h*z - 3*z + 17 = 0. Differentiate 4 + 4*u - 4*u**2 - 4*u + s*u**2 with respect to u.
8*u
Suppose -1 = 2*q - 5. Find the second derivative of -l**4 + 2*l**4 + q*l + 3*l**4 wrt l.
48*l**2
Let f be (-12)/8 + 4 - 1. Let u(v) be the second derivative of 0*v**3 + 0*v**4 - v + 0 + f*v**2 - 3/20*v**5. What is the derivative of u(c) wrt c?
-9*c**2
What is the second derivative of 20*w + 8*w**3 + 8*w**3 + 0*w**3 - 2*w**3 wrt w?
84*w
Find the second derivative of -9*b**5 - 4*b + 0*b**5 - 6*b wrt b.
-180*b**3
Let v(j) = j**3 - 3*j + 2. Let a be v(2). Find the third derivative of -3*z**2 + 4*z**4 - 4*z**4 + z**2 + 3*z**a wrt z.
72*z
Let b be 3/(-2)*(0 - 2). Suppose -b = -5*x + 3*j, 7*x - 2*x = 2*j + 2. Find the third derivative of o**3 + 2*o**2 + o**3 + x*o**2 wrt o.
12
Let f(k) be the second derivative of 4*k + 5/2*k**2 + 1/6*k**3 + 0. What is the first derivative of f(q) wrt q?
1
Suppose 1 = 2*s - y - 2, 4*s - 3*y = 3. Let g = 25 + -22. Find the first derivative of 9*n**s - 4*n**g - n**3 + 3 wrt n.
12*n**2
Let l = 4 - 0. What is the second derivative of 2*g - 2*g**5 - 7*g**4 + 7*g**l + g wrt g?
-40*g**3
Let o(y) be the third derivative of 0 + 0*y + 0*y**5 + 1/4*y**4 + 0*y**3 - 4*y**2 - 1/24*y**6. Find the second derivative of o(m) wrt m.
-30*m
Let n(x) = 33*x**3 + 9*x**2 - 9*x + 20. Let m = 1 - 10. Let j(w) = 8*w**3 + 2*w**2 - 2*w + 5. Let c(u) = m*j(u) + 2*n(u). Differentiate c(i) wrt i.
-18*i**2
Suppose -3*y - 9 = 9. Let n(l) = l + 10. Let z be n(y). What is the second derivative of 0*o**4 + 4*o + 3*o**z - 3*o - 2*o wrt o?
36*o**2
Find the third derivative of 14*f**3 - 14*f**3 - 6*f**2 + 9*f**6 wrt f.
1080*f**3
Find the third derivative of -10*w**2 + 7*w + 12*w**4 - 7*w - 2*w**4 wrt w.
240*w
Suppose b + 23 = 5*j, -4*b + 1 = 4*j - 3. Find the second derivative of -5*i**2 - i - j*i**4 + 13*i**2 - 8*i**2 wrt i.
-48*i**2
Let f(x) be the third derivative of x**5/60 + 7*x**4/24 - 2*x**3/3 + 2*x**2. Let j be f(-8). Differentiat