d derivative of r(c) wrt c.
-720*c**2
What is the second derivative of -16*p + 20*p**3 - 5*p**3 - p**3 wrt p?
84*p
Let h = 8 - 5. Suppose -31 = -4*d + h*z, 2*d + d - 2*z = 22. Find the second derivative of -j**5 - d*j + 3*j - 2*j wrt j.
-20*j**3
Suppose 4*f - u - 17 = f, -5*f - 3*u = -33. What is the derivative of f*d**2 - 3*d**2 - 5*d**2 - 9 wrt d?
-4*d
Let z(y) = 5*y**2 - 3*y - 3. Let u(t) = 10*t**2 - 5*t - 7. Let x(w) = -3*u(w) + 5*z(w). Differentiate x(b) with respect to b.
-10*b
Let g be 15/3 + 4 + -6. Find the first derivative of q + 7 - g*q + 6*q + 4*q wrt q.
8
Let o(q) = -2*q - 7. Let d be o(-5). Let s be (-4 + d)/(2/(-4)). Differentiate -3*a**4 + 3 + 17*a**2 - 17*a**s wrt a.
-12*a**3
Let b(y) be the third derivative of -y**4/4 + y**3/6 + 4*y**2. What is the first derivative of b(o) wrt o?
-6
Let s be -1*(-5 + 2) - 3. Find the third derivative of -4*n**2 + 4*n**3 + 3*n**2 + s*n**2 + 0*n**2 wrt n.
24
Let p(u) be the first derivative of 15*u**2/2 - 15*u - 8. Differentiate p(x) with respect to x.
15
Let k(a) be the third derivative of -a**10/5040 + a**6/90 + a**3 + 5*a**2. Let f(b) be the first derivative of k(b). What is the third derivative of f(h) wrt h?
-120*h**3
Let b(z) be the first derivative of -z**7/42 - z**3/2 + 4*z - 4. Let o(a) be the first derivative of b(a). Find the second derivative of o(c) wrt c.
-20*c**3
Let c(u) = -12*u**3 + 4*u**2 - 15*u + 5. Let z(b) = 37*b**3 - 11*b**2 + 44*b - 14. Let p(x) = -11*c(x) - 4*z(x). Find the second derivative of p(m) wrt m.
-96*m
Find the third derivative of -19*d**2 + 11*d**5 - 18*d**2 + 34*d**2 wrt d.
660*d**2
Let r(i) be the third derivative of -1/60*i**6 + 0*i**3 + 0*i + 0*i**4 + 0 - 3*i**2 + 1/20*i**5. What is the third derivative of r(u) wrt u?
-12
Let m(p) be the first derivative of -p**8/168 - p**5/20 + 3*p**2/2 + 2. Let s(a) be the second derivative of m(a). What is the third derivative of s(x) wrt x?
-120*x**2
Let w(o) be the first derivative of -o**6/2 + 7*o**4/4 - 2*o**2 - 3*o + 65. What is the second derivative of w(n) wrt n?
-60*n**3 + 42*n
Suppose 0 = -46*p + 50*p. Let s(n) be the first derivative of 1/4*n**4 + 0*n + p*n**2 + 1 + 2/3*n**3. What is the third derivative of s(h) wrt h?
6
Let r(k) = -20*k**4 + 3*k**3 - 3*k + 12. Let a(j) = -39*j**4 + 7*j**3 - 7*j + 23. Let s(n) = -3*a(n) + 7*r(n). Find the first derivative of s(f) wrt f.
-92*f**3
Let t(i) be the second derivative of -i**5/2 - 13*i**3/6 + 10*i. Find the second derivative of t(n) wrt n.
-60*n
Let c(i) = i**2. Let y(j) = -4*j**2 + 2. Let z(u) = 14*c(u) + 2*y(u). Differentiate z(l) wrt l.
12*l
Let j(v) = -324*v - 225. Let m(f) = 46*f + 32. Let p(y) = -5*j(y) - 36*m(y). What is the first derivative of p(b) wrt b?
-36
Let r(t) = -t**2 - 6*t - 5. Let o be r(-4). What is the first derivative of -o - 2*m - 2*m**4 + 4*m - 2*m wrt m?
-8*m**3
Suppose f - 5 = -2*p + 2*f, 0 = -3*p - 2*f + 11. Let r(c) = c. Let q be r(p). Differentiate 1 + 3*w**3 - w**q - 2 wrt w.
6*w**2
What is the second derivative of -8*g**5 + g**5 - 2*g + 0*g wrt g?
-140*g**3
Find the second derivative of 0*b + b**5 + 13*b**5 - 4*b + 2*b wrt b.
280*b**3
Let g(s) = -s**3 - 12*s**2 + 12*s - 9. Let a be g(-13). Find the third derivative of -4*l**a - 92*l**3 + 92*l**3 - 2*l**2 wrt l.
-96*l
Find the second derivative of -2*y**2 - y**2 - y**2 + 5*y wrt y.
-8
What is the third derivative of -223*l**3 + 12*l**2 + 256*l**3 - 49*l**2 wrt l?
198
What is the second derivative of -7*q + 2*q - 4*q**2 - 2*q**2 - q**2 wrt q?
-14
Let n(f) = f**5 + f**4 + f**3 - f**2 - f - 1. Let d(i) = i**4 + i**3 - i**2 - 9*i - 1. Let x(k) = -d(k) + n(k). What is the second derivative of x(r) wrt r?
20*r**3
Let g(z) = -7*z + 9. Let a(d) = d**2 + 2*d - 7. Let l be a(-6). Let c(i) = 2*i - 3. Let t(n) = l*c(n) + 6*g(n). Differentiate t(s) wrt s.
-8
Suppose 4*g + 0*g = 12. Find the second derivative of -3*r - 2*r**3 + 2*r + r**g wrt r.
-6*r
Let c = 9 - 6. Let q be (-1)/(-3)*3*c. Differentiate 3 - 3 - q*m**3 + 2 with respect to m.
-9*m**2
Let u = -9 - -9. Differentiate -t**3 + 1 - 2*t**2 + 2*t**2 + u*t**2 wrt t.
-3*t**2
Let a(o) be the second derivative of -1/20*o**5 + 0 + 0*o**3 + 0*o**2 + 1/4*o**4 + o. Find the third derivative of a(n) wrt n.
-6
Let v(p) = -9*p**2 + 4*p. Let w(n) = -27*n**2 + 13*n. Let i(x) = 7*v(x) - 2*w(x). Find the second derivative of i(k) wrt k.
-18
Let g(v) = v**2 - 9*v + 8. Let r be g(8). Differentiate -d**3 - d**3 + r*d**3 - 2*d**3 + 5 with respect to d.
-12*d**2
Let n(h) be the third derivative of 2*h**7/105 - 3*h**4/8 + h**2. What is the second derivative of n(w) wrt w?
48*w**2
Let q = -4 - -14. Let u be (1/2)/(1/q). Differentiate 3 - o**3 - 2*o**3 + u*o**3 with respect to o.
6*o**2
Suppose 5 = 4*c - 3. Let y = c + 1. What is the third derivative of -2*d**4 + y*d**4 - d**4 - 3*d**2 + 3*d**5 wrt d?
180*d**2
Suppose 4*d - 2*d = 10. What is the third derivative of -5*v**2 + v**5 + 5*v**d + 5*v**2 - 8*v**2 wrt v?
360*v**2
Find the third derivative of -118*c**3 + 115*c**3 - 11*c**2 + c**2 wrt c.
-18
Suppose 2*v + 5*d + 10 + 10 = 0, -5*v = d + 4. Let t(l) = 3*l**2. Let c be t(1). What is the third derivative of q**6 - 2*q**3 + v*q**2 - 2*q**2 + 2*q**c wrt q?
120*q**3
Let j(x) be the first derivative of -5*x**4/4 - x**2 - 6. What is the second derivative of j(h) wrt h?
-30*h
Let r(m) = -9*m**4 - 3*m**3 - 10*m + 3. Let u(h) = -17*h**4 - 5*h**3 - 20*h + 5. Let d(k) = 5*r(k) - 3*u(k). Find the second derivative of d(p) wrt p.
72*p**2
Let q(r) be the first derivative of -5*r**4/24 - r**3/3 + 5*r**2/2 + 2. Let s(v) be the second derivative of q(v). What is the derivative of s(b) wrt b?
-5
Suppose -6*x + x + 25 = 0. Find the second derivative of -f**x + 12*f**4 + f - 12*f**4 wrt f.
-20*f**3
Suppose -2*s + w = -40, 4*s = -w - 0*w + 68. Find the second derivative of 18 - s - 2*f**2 - 3*f wrt f.
-4
Let z(i) = -i**3 + 11*i**2 + 17*i - 4. Let n be z(12). Find the third derivative of -4*b**2 + 29 - n + 27 + 3*b**3 wrt b.
18
Let q(f) be the first derivative of 3*f**5/5 + 20*f**3/3 - 13. Find the third derivative of q(t) wrt t.
72*t
Let h(w) = 3*w**3 - 6*w**2 + 4. Let i(x) = 2*x**3 - 5*x**2 + 3. Let v(q) = -3*h(q) + 4*i(q). Find the third derivative of v(s) wrt s.
-6
What is the first derivative of 33*p**2 - 5 - 16 - 7 - 14*p**2 wrt p?
38*p
Let q = -6 + 8. Differentiate -q*z**3 - z + z - 2 + 0 wrt z.
-6*z**2
Suppose -4*s - 5*j = -2*s - 24, 0 = 2*s - 3*j + 8. Let z be (-6)/(s/(-2) + -1). What is the second derivative of -4 + 4 + z*u - 3*u**3 wrt u?
-18*u
Let h(u) = 3*u**2 + 7*u + 12. Let b be h(-10). Find the second derivative of -6*n + b*n**2 - 6*n**3 - 242*n**2 wrt n.
-36*n
Let u = 8 - 4. Find the second derivative of -u*j - 2*j**5 + 0*j - 2*j**2 + 2*j**2 wrt j.
-40*j**3
Let k(z) be the second derivative of 7/20*z**5 + 0*z**2 + 5*z + 0*z**3 + 0 + 7/12*z**4. What is the third derivative of k(y) wrt y?
42
Let w be (2 + 0)/(6 + 0). Let j(q) be the first derivative of 0*q**2 - w*q**3 + 0*q**4 - 1 + 1/5*q**5 + 0*q. Find the third derivative of j(v) wrt v.
24*v
Let p(j) be the second derivative of 4*j + 0*j**3 + 0*j**2 + 0 + 1/5*j**5 - 1/12*j**4. Find the third derivative of p(c) wrt c.
24
Let a(v) = 8*v**3 + 6*v**2 + 3*v. Let t(j) = 17*j**3 + 12*j**2 + 7*j. Let z(f) = 7*a(f) - 3*t(f). Find the third derivative of z(d) wrt d.
30
Let o(d) be the second derivative of -2*d**4 - 15*d**2 - 19*d. What is the first derivative of o(s) wrt s?
-48*s
Let l(i) be the third derivative of -5*i**8/336 - 7*i**5/60 + 10*i**2. What is the third derivative of l(y) wrt y?
-300*y**2
Let l(q) = q**3. Let t(u) = -8*u**4 - 10*u**3 + 2*u**2. Let d(y) = -20*l(y) - 2*t(y). What is the third derivative of d(k) wrt k?
384*k
Let d(i) be the second derivative of -i**4/6 - 7*i**3/6 - 7*i. Find the second derivative of d(u) wrt u.
-4
Let n(b) be the second derivative of 11*b**6/30 + 7*b**4/6 + 4*b. Find the third derivative of n(u) wrt u.
264*u
Let o(a) be the third derivative of -a**6/90 + a**4/6 + 5*a**3/6 + a**2. Let c(g) be the first derivative of o(g). Differentiate c(n) with respect to n.
-8*n
Let s(n) be the first derivative of 2 + 7/3*n**3 + 3*n + 0*n**2. Differentiate s(z) with respect to z.
14*z
Let w = -7 - -21. Suppose 5*c - w = -2*a, 0*c = 2*c - 4*a + 4. What is the second derivative of d**c - 10*d + d +