Let l(j) be the second derivative of 7*j**6/30 + 3*j**2 - 9*j. Differentiate l(v) with respect to v.
28*v**3
Let k(p) = -p**2 - 3. Let m(x) = x**2 - 3*x - 6. Let y be m(5). Let w(i) = -2. Let l(g) = y*w(g) - 3*k(g). What is the derivative of l(v) wrt v?
6*v
Suppose -4*t + 3*k + 115 = 0, t + 3*k - 25 = 5*k. Find the second derivative of t*d**4 - 8*d + 2*d - 27*d**4 wrt d.
48*d**2
Let d(q) be the second derivative of 0*q**7 + 3*q + 0 + 0*q**3 - 1/6*q**4 - 1/28*q**8 + 0*q**5 + 0*q**6 + 0*q**2. Find the third derivative of d(c) wrt c.
-240*c**3
Suppose 3*a - 5*a + 4 = 0. Differentiate 2*u**3 - 5*u**a + 3 + 5*u**2 with respect to u.
6*u**2
Let y(s) be the third derivative of -11*s**9/504 + 4*s**5/5 + s**2 + 2. Find the third derivative of y(u) wrt u.
-1320*u**3
Let n(t) be the third derivative of 0 + t**3 + 0*t - 8*t**2 - 1/4*t**4. Differentiate n(z) with respect to z.
-6
Let m(z) = 27*z**3 - 18*z**2 + 4*z + 4. Let w(h) = 28*h**3 - 19*h**2 + 5*h + 5. Let o(b) = 5*m(b) - 4*w(b). What is the third derivative of o(x) wrt x?
138
Let r be 0/(3 + -1)*(13 - 12). Let k(b) be the first derivative of -2*b - 3/4*b**4 + 0*b**2 + r*b**3 - 1. Differentiate k(c) wrt c.
-9*c**2
Let h(u) = 102*u**3 + 306*u**2 + 42*u - 42. Let o(g) = 12*g**3 + 36*g**2 + 5*g - 5. Let l(x) = 5*h(x) - 42*o(x). What is the third derivative of l(i) wrt i?
36
Differentiate -5 + 6*n**4 - 3 + 6 with respect to n.
24*n**3
Let v(m) be the second derivative of 0*m**5 + 0*m**6 + 10*m + 4/21*m**7 - 1/4*m**4 + 0*m**2 + 0*m**3 + 0. What is the third derivative of v(p) wrt p?
480*p**2
Let t(b) = b**2 - b - 4. Let a be t(-3). Let f = -6 + a. What is the third derivative of -g + f*g**3 - 2*g**2 + g + 0*g wrt g?
12
Suppose 2*v - 14 = -0*v. Let t = v - 5. What is the third derivative of s**2 + 2 - t - 2*s**5 wrt s?
-120*s**2
Let k(y) be the first derivative of -y**3 - 5*y**2/2 - 6*y + 3. Let h(g) be the first derivative of k(g). What is the first derivative of h(o) wrt o?
-6
Let k be -1 + 2/2 + 4. Find the second derivative of 3*d**4 - 5*d**k + 0*d**4 - 4*d wrt d.
-24*d**2
Find the second derivative of -n + 0*n + n**4 + 5*n**4 wrt n.
72*n**2
Let q(l) be the third derivative of 0*l**4 - 1/6*l**3 + 0 + 0*l**5 - 8*l**2 + 0*l**6 + 1/105*l**7 + 0*l. Differentiate q(b) with respect to b.
8*b**3
What is the third derivative of 19*l**2 + 15*l**2 + 4*l**3 - 18*l**2 + 3*l**2 wrt l?
24
Let z(m) be the second derivative of -m**4/4 + 5*m**3/6 - m. Find the second derivative of z(q) wrt q.
-6
Let l = 4 + -4. Suppose -9 = -3*d - l. Find the second derivative of i**d - i + 4 - 4 wrt i.
6*i
Let c(v) = -6*v - 5*v**2 + v**2 - v**3 + v - 5. Let b(h) = -h**3 - h**2 - h - 1. Let q(o) = -5*b(o) + c(o). Find the third derivative of q(r) wrt r.
24
Find the third derivative of 3*c**5 + 14*c**5 - 5*c**2 + 3*c**2 wrt c.
1020*c**2
Let c = 0 + 1. Suppose -j - c = y, 2*j = -0*j - 3*y - 6. What is the second derivative of 2*u - u + u - 2*u**j wrt u?
-12*u
Let i(n) = -13*n**5 - 4. Let v(r) = 14*r**5 + r + 5. Let c(a) = 5*i(a) + 4*v(a). Find the second derivative of c(b) wrt b.
-180*b**3
Find the first derivative of -5*d**3 + 0*d**2 + 8 - 2*d**2 + 2*d**2 wrt d.
-15*d**2
Suppose 7*n + 60 = 12*n. Find the third derivative of -n*d**2 + 25*d**2 - 10*d**2 - 2*d**6 wrt d.
-240*d**3
Let m(u) be the second derivative of 0 + 0*u**5 - u + 0*u**2 + 1/2*u**4 + 0*u**6 + 0*u**3 - 5/42*u**7. What is the third derivative of m(w) wrt w?
-300*w**2
Suppose 4*b = -4*d - d + 66, 0 = 3*b + 2*d - 46. Find the third derivative of -27*z**3 + 27*z**3 - 4*z**2 - 7*z**4 + b*z**4 wrt z.
168*z
Let a(m) = -15*m**3 + 6*m**2 - 21*m + 6. Let j(n) = 14*n**3 - 5*n**2 + 20*n - 5. Let u(k) = -5*a(k) - 6*j(k). What is the second derivative of u(b) wrt b?
-54*b
Find the first derivative of -12 + 6 - 6 - 3*w wrt w.
-3
Let k(i) be the first derivative of -i**6/10 + 3*i**2/2 - 3*i - 1. Let o(q) be the first derivative of k(q). What is the first derivative of o(j) wrt j?
-12*j**3
Let u(a) = a**3 - 6*a**2 + a - 1. Let t be u(6). Differentiate 3 - t*o**3 - 4 - 3 with respect to o.
-15*o**2
Let g(b) = -9*b**3 - 166*b**2 - 11*b. Let w(o) = -2*o**3 - 33*o**2 - 2*o. Let v(d) = 4*g(d) - 22*w(d). Find the third derivative of v(r) wrt r.
48
Differentiate 2 - 3*y + y + 4 wrt y.
-2
What is the third derivative of 87 - 16*b**4 + 6*b**2 - 87 wrt b?
-384*b
Let a(v) = -17*v + 45. Let p(q) = 1. Let m(z) = a(z) + 3*p(z). Find the first derivative of m(j) wrt j.
-17
Let n be (-1)/(4/8 - 1). What is the derivative of -n*k**2 - 24*k - 3 + 24*k - 1 wrt k?
-4*k
Let a(g) = -2*g**3 + 6*g**2 - 6*g - 45. Let f(y) = -7*y**3 + 17*y**2 - 17*y - 134. Let z(m) = 17*a(m) - 6*f(m). What is the derivative of z(o) wrt o?
24*o**2
Let l(q) be the second derivative of -5/6*q**3 + 8*q + 0*q**6 - 2/21*q**7 + 0*q**2 + 0*q**4 + 0*q**5 + 0. What is the second derivative of l(b) wrt b?
-80*b**3
Let f(m) = -7*m + m + 5*m. Let d be f(-4). Differentiate s**d + 1 + 4*s**4 - 4*s**4 wrt s.
4*s**3
Let p(h) be the first derivative of 3*h**5/10 - 5*h**4/12 - 8*h - 9. Let j(y) be the first derivative of p(y). What is the third derivative of j(a) wrt a?
36
What is the second derivative of 22*v + 4*v**4 + 3*v - 6*v**4 - 24*v**4 wrt v?
-312*v**2
Let s(r) be the second derivative of 29*r**8/56 - 13*r**4/3 + 40*r. Find the third derivative of s(g) wrt g.
3480*g**3
What is the third derivative of 52*g**5 + 2*g**2 - 43*g**5 + 33*g**2 wrt g?
540*g**2
Let i(v) be the third derivative of v**4/24 + 5*v**3/6 + 8*v**2. Let n(f) = -1. Let m(y) = i(y) - 3*n(y). What is the derivative of m(u) wrt u?
1
Let s(x) be the first derivative of 0*x**2 - 4 + 5/7*x**7 + 0*x**4 + 0*x + 0*x**6 + 0*x**5 + 4/3*x**3. Find the third derivative of s(f) wrt f.
600*f**3
Let o(d) be the second derivative of 17*d**3/6 - 29*d**2/2 - 39*d. What is the derivative of o(k) wrt k?
17
Suppose u - 2 = 2. Let w be -8*-2*(-1)/(-8). Differentiate 2*n - 4*n + w*n**u - 4 + 2*n wrt n.
8*n**3
Let f = 8 - 5. Suppose -f*z = 3*y - 28 - 41, 4*z + 5*y = 93. Differentiate z - 24 - t + 3*t wrt t.
2
Let d(q) be the second derivative of q**9/84 + q**5/20 + 4*q**2 + 2*q. Let h(t) be the first derivative of d(t). What is the third derivative of h(c) wrt c?
720*c**3
Let g(j) be the first derivative of -13*j**2/2 - 14*j - 21. Differentiate g(d) wrt d.
-13
Let k(f) = 4*f**2 - 5*f + 1. Suppose -4*z + 12 = -z. Let l be k(z). Find the second derivative of 2*r + 2*r**3 - 45*r**2 - 3*r + l*r**2 wrt r.
12*r
Let i(c) = -5*c**5 + 4*c**3 - 8*c**2 - 4. Let n(j) = 6*j**5 - 3*j**3 + 8*j**2 + 3. Let t(f) = 3*i(f) + 4*n(f). Find the third derivative of t(h) wrt h.
540*h**2
Let a(j) be the second derivative of j**6/3 + 4*j**2 + 5*j. Differentiate a(v) wrt v.
40*v**3
Suppose 0*y = y - 4. What is the second derivative of -25*x + 0*x**y + 28*x + 4*x**4 wrt x?
48*x**2
Let k(r) be the third derivative of 0*r**3 + 0*r**5 + 0 - 1/24*r**4 + 0*r - 1/40*r**6 - 3*r**2. What is the second derivative of k(j) wrt j?
-18*j
Let b = -1 - -9. Let o(z) = -z + 11. Let g be o(b). Differentiate -n**3 + 2*n**3 - 3*n**g + 1 wrt n.
-6*n**2
Suppose -2*l - 4*x + 0*x + 24 = 0, 3*l - 11 = -x. Find the third derivative of 2*b**l - b**4 - b**4 + 0*b**2 wrt b.
-48*b
Let m(f) = -f**2 - 6*f. Let r be m(-6). Suppose 2*x - 3*x = r, -2*x + 6 = 3*i. What is the second derivative of -2*p**3 + 3*p - 5*p**i + 5*p**2 wrt p?
-12*p
Suppose d + 2 = 4*p, -p + 3*p - d - 2 = 0. Let x(k) be the first derivative of 2*k - 2 + p*k**3 - 2/5*k**5 + 0*k**4 + 0*k**2. Differentiate x(o) wrt o.
-8*o**3
Let f(s) be the first derivative of -2*s**3 - 8*s + 8. Find the first derivative of f(t) wrt t.
-12*t
Suppose -9 = -v - 4. What is the second derivative of -v*n + n + 2*n - 4*n**2 wrt n?
-8
Let q(b) be the first derivative of b**7/105 + b**6/360 + 2*b**3 + 7. Let k(v) be the third derivative of q(v). What is the third derivative of k(j) wrt j?
48
Let r(s) be the third derivative of s**6/90 + s**4/6 + s**3/6 + 5*s**2. Let l(m) be the first derivative of r(m). Differentiate l(x) wrt x.
8*x
What is the first derivative of 111 - 221 - 32*i**3 + 124 wrt i?
-96*i**2
Suppose 3*b + 10 = 40. What is the third derivative of -b*i - 9*i**5 - i**2 + 10*i wrt i?
-540*i**2
Suppose -6*x + 2*x + 41 = 5*a, 1 = -x. Suppose -2*f + a = f. Differentiate 4*z**3 + 0 - z**3 + f with respec