d(c) wrt c.
540*c**3
What is the second derivative of -4*t - 32 + 4*t**2 + 32 + 2*t**2 wrt t?
12
Suppose 3*l + 5 = 29. Find the first derivative of -8*h + 3*h**4 + l*h - 2*h**4 - 3 wrt h.
4*h**3
Let w(b) be the first derivative of -b**4/4 - 5*b**3/3 - 4. What is the third derivative of w(j) wrt j?
-6
Let z(g) = -g - 1. Let i(c) = c**2 + 5*c + 2. Suppose -5*m = x + 29, m - 12 = 5*x + 3. Let f(n) = m*z(n) - i(n). Differentiate f(u) with respect to u.
-2*u
Let g = -10 - -12. What is the first derivative of g*t**2 + 6 - 3 - 3 + 4 wrt t?
4*t
Suppose 23 = -3*t + t + v, 5*t + 60 = 3*v. Let d = t + 13. Find the second derivative of 4*j - j - 2*j**d + j**4 wrt j.
-12*j**2
Let u(p) be the first derivative of p**5/20 + 5*p**4/24 - 7*p**3/3 + 1. Let m(n) be the third derivative of u(n). What is the derivative of m(i) wrt i?
6
Let v = 0 + 8. Let g = v - 6. Differentiate -3*r**2 + 4*r**2 + g + 0*r**2 wrt r.
2*r
Let p(i) = -i + 9. Let t be p(6). Find the first derivative of t - 4 - 3*m**3 + 4*m**3 wrt m.
3*m**2
Let u(l) be the second derivative of -7*l**6/6 - 7*l**4/3 + 14*l. Find the third derivative of u(a) wrt a.
-840*a
Let a(q) be the second derivative of -q**11/55440 - q**7/630 - q**4/4 - 5*q. Let z(m) be the third derivative of a(m). Find the third derivative of z(c) wrt c.
-120*c**3
Suppose -2 = -3*t + 4. Find the third derivative of -11*m**3 + 9*m**2 - 7*m**t - 8*m**2 wrt m.
-66
Let m(y) = 5*y**4 + 2*y**3 - 5*y**2 - 2. Let b(j) = 26*j**4 + 11*j**3 - 24*j**2 - 11. Let k(n) = -6*b(n) + 33*m(n). Find the third derivative of k(g) wrt g.
216*g
Differentiate -1 - 640*y**2 + 30*y**3 - 9 + 640*y**2 wrt y.
90*y**2
Suppose 2*c + 3 - 9 = 0. Find the second derivative of 2*d + 0*d**2 + 0*d**2 - d**3 + 0*d**c wrt d.
-6*d
Let u(m) = m**3 - 4*m**2 + 4*m - 1. Let j be u(3). What is the third derivative of -i**3 - i**6 + 0*i**3 + i**3 + j*i**2 wrt i?
-120*i**3
Let r(q) be the second derivative of -1/4*q**4 - 7/6*q**3 + 0 - 3*q + 0*q**2. What is the second derivative of r(w) wrt w?
-6
What is the first derivative of 7 - 5*k**3 - 2*k**3 - 3*k**3 wrt k?
-30*k**2
Suppose 0 = -q + 3. What is the second derivative of 6*a + q*a**3 - 11*a + 8*a wrt a?
18*a
What is the derivative of 7 + 27*z**3 + 2 - 10 wrt z?
81*z**2
What is the third derivative of -223*h**2 + 242*h**2 + 3*h**4 + 11*h**4 wrt h?
336*h
Suppose -2*r + 18 = 5*a, 5*a + 0*a + 52 = 3*r. Differentiate -r*g**3 - 9 + 23*g**3 - 2*g**3 wrt g.
21*g**2
Let d(n) be the third derivative of 0*n**5 + 0*n + 0 + 0*n**3 + 1/40*n**6 - n**2 + 1/12*n**4. What is the second derivative of d(p) wrt p?
18*p
Let n(q) = q**6 + q**3 + q. Let j(g) = 2*g**6 + 3*g**3 - 8*g**2 + 3*g. Let d(h) = -j(h) + 3*n(h). What is the third derivative of d(s) wrt s?
120*s**3
Let x(i) be the third derivative of -i**9/168 - 7*i**5/60 - 6*i**2. What is the third derivative of x(c) wrt c?
-360*c**3
Differentiate -119*j + 30 + j**2 + 14*j**3 + 119*j wrt j.
42*j**2 + 2*j
Suppose 5*x - x + 2*y - 280 = 0, 0 = -2*x - 3*y + 136. Find the third derivative of 4*h**2 - h**3 + 71 - x wrt h.
-6
Let g(p) be the first derivative of 1/2*p**4 - 5/3*p**3 + 0*p + 0*p**2 + 5. Find the third derivative of g(j) wrt j.
12
Let r(a) = -a**3 + 4*a**2 + a - 2. Let q be r(4). What is the third derivative of -m**2 - m**q - m**4 - m**2 wrt m?
-24*m
Let l be (-204)/(-33) + 6/(-33). Suppose -4*p - 3*y = -2, p + 4*y - l*y = 6. What is the third derivative of c**2 - 6*c**4 + 0*c**p + 8*c**4 wrt c?
48*c
Let o(m) be the first derivative of m**8/7 - 2*m**4/3 + 3*m - 9. Let r(a) be the first derivative of o(a). Find the third derivative of r(l) wrt l.
960*l**3
Let p(q) be the third derivative of -6*q**7/35 - 2*q**4/3 + 15*q**2. Find the second derivative of p(l) wrt l.
-432*l**2
Let v(x) be the first derivative of -x**8/48 + 5*x**4/24 - x**2 - 8. Let i(s) be the second derivative of v(s). Find the second derivative of i(j) wrt j.
-140*j**3
Find the third derivative of -7*u**2 + 3*u**2 - 3*u**4 - 10*u**4 - 4*u**2 wrt u.
-312*u
Let t(l) = l**3. Let d(s) = s**5 - 2*s**3 - 8*s**2. Let m(w) = -d(w) - 2*t(w). Find the third derivative of m(z) wrt z.
-60*z**2
Find the second derivative of -4*j + 0*j - j**3 - 9*j - 4*j wrt j.
-6*j
Let k(f) be the second derivative of -f**7/21 + f**3/2 - 5*f. What is the second derivative of k(c) wrt c?
-40*c**3
Let r(w) = -10*w**3 + 2. Let k(t) = -19*t**3 + 4. Let h(d) = 3*k(d) - 5*r(d). Differentiate h(s) wrt s.
-21*s**2
Let v(p) = -15*p**4 - 3*p**3 - 3*p**2 + 3*p - 2. Let x(y) = 31*y**4 + 7*y**3 + 7*y**2 - 7*y + 4. Let f(w) = -7*v(w) - 3*x(w). Differentiate f(c) wrt c.
48*c**3
Let i(t) = t**3 + t. Let c(o) = 47*o**4 - 2*o**3 - 2*o + 9. Let j(y) = c(y) + 2*i(y). What is the derivative of j(h) wrt h?
188*h**3
Suppose -4*h + 19 + 1 = 0. Suppose -3*a + r + 0*r = -6, 4*r + 10 = h*a. What is the first derivative of 1 - a*k**2 + 11*k - 11*k wrt k?
-4*k
Let c(l) be the first derivative of 27*l**7/7 - 22*l**3/3 + 19. What is the third derivative of c(h) wrt h?
3240*h**3
Let u = -3 + 9. Let m be (-3)/(-6) + u/4. What is the third derivative of -w**3 + 2*w - 2*w + 3*w**3 - 3*w**m wrt w?
12
Let g(n) be the first derivative of n**6/15 - 3*n**2 - 4*n + 7. Let m(o) be the first derivative of g(o). Differentiate m(d) with respect to d.
8*d**3
Let w(m) = m. Let y(i) = 7*i**3 + 5*i. Let q(t) = -4*w(t) + y(t). What is the second derivative of q(f) wrt f?
42*f
Let d(n) = n**2 - 7*n. Let h(o) be the second derivative of -2*o**3/3 + o. Let m(s) = -2*d(s) + 5*h(s). What is the second derivative of m(y) wrt y?
-4
Let n(x) be the third derivative of 17*x**6/60 - x**5/6 + 35*x**2. What is the third derivative of n(i) wrt i?
204
Let l(k) be the first derivative of 5/2*k**2 + 0*k**3 + 0*k**4 - 3 + 0*k - 3/5*k**5. What is the second derivative of l(d) wrt d?
-36*d**2
Suppose 8*b = 4*b + 12. Let n = 1 + -1. What is the first derivative of n - 4*f + b*f - 2 wrt f?
-1
Let m(d) be the third derivative of d**6/120 + d**5/30 - 11*d**2. Find the third derivative of m(o) wrt o.
6
Let n(m) be the first derivative of -m**6/3 + 14*m**3 - 38. What is the third derivative of n(l) wrt l?
-120*l**2
Let y(d) be the second derivative of 13*d**4/6 - 27*d**2/2 + 11*d. Differentiate y(s) wrt s.
52*s
Let v(s) = s - 26. Let y(n) = -9. Suppose -2*o + p = -0*p + 7, -4*p = -o. Let x(r) = o*v(r) + 11*y(r). Differentiate x(a) with respect to a.
-4
Let q(v) be the first derivative of -v**8/420 + v**4/8 + v**3 - 2. Let n(j) be the third derivative of q(j). Find the first derivative of n(w) wrt w.
-16*w**3
Let h(c) be the first derivative of -6 + 0*c**2 + 0*c + 8/3*c**3 + 0*c**6 + 0*c**5 - c**7 + 0*c**4. What is the third derivative of h(v) wrt v?
-840*v**3
Suppose 3*y + 36 = 9*y. What is the third derivative of 5*h**2 + h**3 + h**2 - y*h**3 wrt h?
-30
Suppose 18*i - 13*i = 15. Find the second derivative of 14*b**i + 5*b + b**3 - 4*b**3 wrt b.
66*b
Let z(d) = 38*d**4 - 4*d**3 + 40*d - 4. Let k(c) = -c**4 - c**3 - c - 1. Let s(j) = 4*k(j) - z(j). What is the second derivative of s(b) wrt b?
-504*b**2
Let r be 2/(1*2/(-12)). Let z = -7 - r. What is the second derivative of -2 + 2 + j + 0*j**z + 4*j**5 wrt j?
80*j**3
Let t(d) be the third derivative of 0*d**7 + 0*d**5 - 1/168*d**8 + 0*d**6 + 0 - 4*d**2 + 0*d + 1/6*d**4 + 0*d**3. Find the second derivative of t(x) wrt x.
-40*x**3
Suppose 3*i + 2*h - 12 = 0, -i - h + 6*h + 21 = 0. What is the third derivative of -6*c**6 + 4*c**i + 6*c**2 - 5*c**2 wrt c?
-240*c**3
Let d(z) = -2*z**4 - 1. Suppose 2*p - 2 = -8. Let v(k) = k**4. Let m(w) = p*v(w) - 2*d(w). Differentiate m(q) wrt q.
4*q**3
Let c be 1 + 0 - (11 + -15). What is the first derivative of -2*u**2 - 2*u**2 + c - 6*u**2 + 4*u**2 wrt u?
-12*u
Let n(f) = 17*f**3 - 17*f**2 + 4. Let u(a) = 18*a**3 - 18*a**2 + 5. Let z(w) = 5*n(w) - 4*u(w). What is the third derivative of z(g) wrt g?
78
Let g(w) be the third derivative of -w**8/84 + w**4/3 + 3*w**2. What is the second derivative of g(o) wrt o?
-80*o**3
Let f = 1 - -2. What is the third derivative of -3*i**2 + 6*i**3 - 6*i**f - i**4 wrt i?
-24*i
Suppose 4*c + 3 = 5*u, -c + 15 = u + 3*c. What is the third derivative of 3*r**2 - 2*r**u - 5*r**3 + 6*r**3 wrt r?
-6
Let d(x) be the first derivative of -2*x**4 - x**3 - 10. What is the third derivative of d(a) wrt a?
-48
Let w(q) = 5