- 5. Let l(c) be the second derivative of o(c). Differentiate l(q) wrt q.
4*q**3
Let j(c) be the second derivative of -7*c**4/4 + 7*c**3/2 + 2*c. What is the second derivative of j(q) wrt q?
-42
Let u(s) be the first derivative of 0*s - 1/5*s**5 + 0*s**2 - 2/3*s**3 + 0*s**4 + 1. Find the third derivative of u(k) wrt k.
-24*k
Suppose -4*f = -8*a + 4*a - 16, -5*f + 2*a = -11. Differentiate o**3 + f + 0 - 4*o**3 with respect to o.
-9*o**2
Let p(t) be the third derivative of t**6/8 + 5*t**3/2 + 11*t**2. What is the derivative of p(q) wrt q?
45*q**2
Let c(k) = k**5 - 4*k**4 + 18*k. Let g(s) = -s**5 + 7*s**4 - 35*s. Let n(r) = -7*c(r) - 4*g(r). Find the second derivative of n(a) wrt a.
-60*a**3
Let w(h) be the third derivative of 17*h**5/60 + 23*h**4/24 - 18*h**2. Find the second derivative of w(u) wrt u.
34
Suppose n - 1 - 1 = 0. What is the derivative of -6*d + 0*d - n*d - 5 wrt d?
-8
Let o be 1/(-3) - 388/(-12). Find the first derivative of -32*j - 2*j**2 + 4 + o*j wrt j.
-4*j
Let q = -4/59 + 67/118. Let f(o) be the second derivative of o + 0 + 3/2*o**2 - q*o**3. Differentiate f(a) wrt a.
-3
Let h = 40 + -36. Let m be 8/10*(-5)/(-2). What is the second derivative of -h*v**4 + 2 - 2 - m*v wrt v?
-48*v**2
Differentiate 506*d - 506*d - 11*d**3 + 1 with respect to d.
-33*d**2
Let s(j) be the first derivative of 0*j**2 - 1/3*j**3 - 2 + j. Find the first derivative of s(o) wrt o.
-2*o
Suppose 0 = x - 5*x + 12. What is the second derivative of x*j - 9*j + j**5 + 0*j**5 wrt j?
20*j**3
Suppose -h = 1, 0*w = -2*w - h + 5. What is the derivative of -4 + w - 6 + 3*r - 3 wrt r?
3
Let x(r) = 2 + 18*r - 11 - 4 - 5*r. Let t(q) = 6*q - 6. Let c(u) = -9*t(u) + 4*x(u). Differentiate c(z) wrt z.
-2
Suppose -2*a + 6 = 2. Differentiate 4 - 2*j - 2 + 0 + a with respect to j.
-2
Let k(j) be the third derivative of j**4/12 + j**3/2 - 4*j**2. Differentiate k(x) wrt x.
2
Suppose d - 14 + 4 = -4*o, 0 = -5*o + 5*d. Differentiate 6*i**4 + o + 2 + 1 with respect to i.
24*i**3
Let t(b) be the second derivative of 7*b**4/12 + b**3/6 - b**2/2 - 5*b. Let l(j) = j + 1. Let k(r) = l(r) - t(r). What is the derivative of k(v) wrt v?
-14*v
Suppose 0 - 3 = k. Let s = k - -6. Find the second derivative of -a + 0*a**4 + 2*a**4 - s*a**4 wrt a.
-12*a**2
Let d(u) be the first derivative of u**6/6 - 13*u**2/2 - 2. Find the second derivative of d(r) wrt r.
20*r**3
Let r(a) be the first derivative of a + 3 - 2/3*a**3 + 0*a**2. What is the derivative of r(n) wrt n?
-4*n
Suppose -4*g - 18 = 3*u, -u + 10 = 4*u. Let f(r) = -r. Let w(y) = y**2 - 4*y. Let a(h) = g*f(h) + w(h). Find the second derivative of a(j) wrt j.
2
Let f(b) = -30*b**3 + 20*b**2 - 186*b + 16. Let x(d) = -6*d**3 + 4*d**2 - 37*d + 3. Let i(c) = -3*f(c) + 16*x(c). Find the second derivative of i(l) wrt l.
-36*l + 8
Let x(c) = 26*c + 5. Let t(g) = -9*g - 2. Let r = -14 + 10. Let h(k) = r*x(k) - 11*t(k). Differentiate h(a) wrt a.
-5
Let w(j) = 7*j**2 - 5*j - 3. Let l(z) = z**2 - z + 1. Let p(b) = 3*l(b) + w(b). Find the second derivative of p(t) wrt t.
20
Let q(a) = 12*a**3 - 6*a**2 + 7. Let v(t) = -24*t**3 + 13*t**2 - 13. Let o(u) = -13*q(u) - 6*v(u). Differentiate o(x) wrt x.
-36*x**2
Let d = -5 + 7. Find the second derivative of -s**4 + d*s + s - 6*s wrt s.
-12*s**2
Find the second derivative of -3*f**2 - 69 + 34 + f**3 + 12*f + 34 wrt f.
6*f - 6
What is the first derivative of -6 - 1 - 7*u + 0 wrt u?
-7
Let b(d) = d**3 + 8*d**2 + 5. Let w be b(-8). Differentiate -w*l - 3*l - 12 + l + 5 wrt l.
-7
Let k(b) = b**3 - 5*b**2 + 4*b. Let a be k(4). Let u be (-20)/(-4)*(a + 1). What is the third derivative of -2*g**u - 3*g**2 + g**5 + 4*g**2 wrt g?
-60*g**2
Let m(k) = -k. Let i(v) be the first derivative of -4*v**7/7 + 4*v**3/3 - 3*v**2 - 4. Let g(z) = i(z) - 6*m(z). What is the third derivative of g(x) wrt x?
-480*x**3
Let q(l) = 53*l**3 + 4*l**2 - 9*l + 9. Let r(u) = 13*u**3 + u**2 - 2*u + 2. Let c(d) = 2*q(d) - 9*r(d). What is the third derivative of c(m) wrt m?
-66
Suppose -5*h = -g - 2, 0 = -4*g + 4*h - 5 + 13. What is the first derivative of 0 + 5*r**2 - g - 2*r**2 wrt r?
6*r
What is the first derivative of c**4 - 1 + 2*c**4 + 3*c**4 wrt c?
24*c**3
Let u(y) be the first derivative of 0*y + 0*y**2 + 0*y**5 - 1/3*y**6 - 4/3*y**3 + 0*y**4 + 2. Find the third derivative of u(l) wrt l.
-120*l**2
Let a = 3 + -3. Suppose 0 = -3*h + 5*m - 4, m + 2 = 2*h - a. Find the first derivative of 2*y - h*y - 1 - y**4 wrt y.
-4*y**3
Let p(f) = -4*f**2 - 2. Let k = 7 + -5. Let h(m) = 3. Let y(z) = 10. Let n(d) = k*y(d) - 7*h(d). Let t(i) = 4*n(i) - p(i). Differentiate t(j) with respect to j.
8*j
Let l(q) be the first derivative of -q**9/1008 - q**6/90 + q**3/3 - 2. Let z(o) be the third derivative of l(o). Find the third derivative of z(b) wrt b.
-180*b**2
Let n(t) be the third derivative of -t**7/504 + t**6/144 + t**4/8 - 5*t**2. Let v(w) be the second derivative of n(w). Find the second derivative of v(p) wrt p.
-10
Let h(x) be the third derivative of 0*x**3 + 0*x + 0*x**5 + 1/40*x**6 + 1/24*x**4 + 0 - x**2. What is the second derivative of h(p) wrt p?
18*p
Suppose 0 = -5*g + 12 - 2, 5*v = -4*g + 28. Find the third derivative of -7*p**4 + v*p**4 - 2*p**2 + 3*p**4 + 2*p**4 wrt p.
48*p
Suppose 22 = 5*z - 8. Let k(u) be the second derivative of 2*u + 0 + 0*u**4 + 0*u**3 + 0*u**5 - 1/10*u**z - u**2. Differentiate k(l) with respect to l.
-12*l**3
Let k(p) = 2*p**2 + 2*p - 2. Let f be k(-2). Suppose 0 = 4*t + f - 10. What is the second derivative of 4*c**3 - c**3 + t*c - 4*c**3 wrt c?
-6*c
Let t(f) be the third derivative of 0 + 3*f**2 - 1/24*f**4 + 0*f**3 + 0*f + 0*f**5 + 0*f**7 + 1/336*f**8 + 0*f**6. What is the second derivative of t(a) wrt a?
20*a**3
Let z(x) be the third derivative of -x**4/3 - 25*x**3/6 - 15*x**2. What is the first derivative of z(c) wrt c?
-8
What is the second derivative of 8*g + 0*g - 3*g**4 + 0*g**4 + 2*g**4 wrt g?
-12*g**2
Find the third derivative of -3*s + 5*s**2 + s**3 + s**2 + 3*s wrt s.
6
Let p(m) = m**3 + m + 1. Let x(g) = 10 + 10*g**3 + 0*g + 7*g + 5*g + 4*g**3. Let f(c) = -12*p(c) + x(c). Differentiate f(b) with respect to b.
6*b**2
Suppose -2*w = 2*v - 14, 5*w - v - 8 = 9. What is the derivative of 5*c**4 - 5 - 5*c**w + 5*c**4 wrt c?
20*c**3
Suppose 0 = u - 2*u. What is the third derivative of -3*w**2 + w**2 + 2*w**5 + u*w**5 wrt w?
120*w**2
Let x(n) be the first derivative of 12*n**5/5 + 4*n - 1. What is the first derivative of x(r) wrt r?
48*r**3
Let j be 1 + (-1 - -2) + 3. Find the third derivative of -2*i**2 - i**3 - i**j + 5*i**2 + i**3 wrt i.
-60*i**2
Find the third derivative of -a**3 + 14*a**5 - 12*a**2 + 0*a**3 + 114 - 112 wrt a.
840*a**2 - 6
What is the second derivative of -8*v**4 - 7*v**4 - 16*v**4 - 38*v wrt v?
-372*v**2
Let x(c) be the first derivative of 27*c**2/2 + 41*c + 43. Differentiate x(p) wrt p.
27
Let n(v) be the first derivative of -v**6 + 3*v**4/4 - 8*v**3/3 - 5*v - 47. What is the third derivative of n(c) wrt c?
-360*c**2 + 18
Find the second derivative of 152*d**2 + 0*d + 8*d - 186*d**2 wrt d.
-68
What is the second derivative of 23*m + m**2 - 6*m**2 - 8*m wrt m?
-10
Let j(w) be the third derivative of w**7/70 - 3*w**3/2 + 17*w**2. Differentiate j(m) with respect to m.
12*m**3
Let a(w) be the third derivative of w**6/12 - w**3/3 + 13*w**2. Differentiate a(f) with respect to f.
30*f**2
Suppose 2*n - n = g - 4, -4*g + 5*n = -18. Find the third derivative of -g*c**6 + 28*c**2 - c**3 + c**3 - 29*c**2 wrt c.
-240*c**3
Let r(o) be the first derivative of 4*o**4 - 10*o - 24. Find the first derivative of r(y) wrt y.
48*y**2
Let f(w) be the first derivative of 2*w + 3 + 0*w**4 - 4 + w**4. Differentiate f(z) wrt z.
12*z**2
Let t = 54 + -49. Let p(q) be the third derivative of 0*q**4 + 0*q - 1/2*q**3 + 0*q**t - 1/40*q**6 + 0 + 3*q**2. Differentiate p(h) wrt h.
-9*h**2
Let i(f) be the second derivative of 0*f**7 + 0*f**2 + 0 + 0*f**6 + 0*f**3 - 3/28*f**8 - 2*f + 0*f**5 + 5/12*f**4. What is the third derivative of i(m) wrt m?
-720*m**3
What is the third derivative of 25*b**3 - 3*b**2 + b**2 - 4*b**2 - 4*b**2 wrt b?
150
Let c be 2 + -3 + 0 - -1. Let a be 1*(c + 4) - -1. Differentiate 0 + 3*p**3 - a*p**3 - 2 wrt p.
-6*p**2
Let s(z) be the third derivative of -2/3*z**3 + 0 - 1/15*z**5 - 4*z**2 + 0*z**4 +