 z.
600*z**3
Let c(q) be the second derivative of 0 + 1/4*q**4 - q + 0*q**3 + q**2. Find the first derivative of c(z) wrt z.
6*z
Let y(b) be the third derivative of 0*b**4 + 0*b + 7*b**2 + 0 + 0*b**5 - 1/6*b**3 + 1/15*b**6. What is the first derivative of y(f) wrt f?
24*f**2
Let x(z) = -1. Let f(y) = 5*y - 2. Let i(a) = -f(a) + x(a). What is the first derivative of i(t) wrt t?
-5
Find the third derivative of -4*m**4 - m**6 - 19*m**2 - 10*m**6 + 4*m**4 wrt m.
-1320*m**3
Let q = -16 + 9. Let a(v) = 5*v**2 + 1. Let o(b) = -11*b**2 - 3. Suppose -3*i = -8*i - 15. Let m(j) = i*o(j) + q*a(j). What is the derivative of m(t) wrt t?
-4*t
Let d(f) be the second derivative of 0*f**4 + 0*f**2 - 2*f + 0*f**5 + 0 + 1/10*f**6 + 1/3*f**3. Find the second derivative of d(s) wrt s.
36*s**2
Suppose 4*s + 2*v = 18, -2*v + 4*v = 4*s + 2. Let h = 2 + 2. What is the first derivative of 0*z**4 + 5*z**4 - s*z**h + 4 wrt z?
12*z**3
Let a(q) = 28*q**3 - 3*q - 36. Let d(t) = -85*t**3 + 8*t + 108. Let s(w) = -8*a(w) - 3*d(w). Differentiate s(z) with respect to z.
93*z**2
Let y(v) = -2*v + 8. Let c(q) = 11 - q - 11. Let a(i) = -4*c(i) - y(i). What is the first derivative of a(j) wrt j?
6
Let o = -79/6 + 317/24. Let h(d) be the third derivative of o*d**4 + 0*d + 1/2*d**3 - 2*d**2 + 0. Differentiate h(t) wrt t.
1
Let a(s) = -7*s + 6. Let y(d) = 6*d - 5. Let k(i) = -5*a(i) - 6*y(i). Let q be k(-5). Find the second derivative of -z**q - z - 2*z**5 - 3*z wrt z.
-60*z**3
Let u(g) be the third derivative of -5*g**9/504 + g**5/12 + 5*g**2. Find the third derivative of u(d) wrt d.
-600*d**3
Let u(p) = 2*p + 2. Let d = -47 - -42. Let l(f) = 0*f + 2 + 2*f + 0. Let n(g) = d*l(g) + 6*u(g). Find the first derivative of n(t) wrt t.
2
Let d(v) be the first derivative of 22*v**3/3 + 33*v + 10. What is the first derivative of d(i) wrt i?
44*i
Let j(l) be the first derivative of -21*l**4/4 + 2*l**3/3 + 23*l - 47. Differentiate j(v) with respect to v.
-63*v**2 + 4*v
Let w(p) be the third derivative of -4*p**7/105 + p**4/4 - 4*p**2. What is the second derivative of w(j) wrt j?
-96*j**2
Let z(b) be the first derivative of b**8/336 - b**5/24 + b**3/3 + 4. Let i(l) be the third derivative of z(l). Find the second derivative of i(u) wrt u.
60*u**2
Let d(m) = -m**2. Let l(b) = -13*b**3 - 3*b**2 + b - 28. Let v(q) = 3*d(q) - l(q). Find the first derivative of v(u) wrt u.
39*u**2 - 1
Let f = -6 + 7. Let l(j) = -2*j**3 + 3*j - 1. Let q(z) = -z**3 + z - 1. Let n(c) = f*l(c) - 3*q(c). What is the first derivative of n(a) wrt a?
3*a**2
What is the derivative of 3 - 16 + 91*p**4 - 106*p**4 wrt p?
-60*p**3
Let x(d) be the second derivative of 5*d**4/12 + 2*d**3/3 + 6*d. What is the second derivative of x(i) wrt i?
10
Let u(s) be the first derivative of 0*s**4 - 2 + 0*s - 3/2*s**2 - 2/5*s**5 + 0*s**3. What is the second derivative of u(h) wrt h?
-24*h**2
Let h be (-3)/(-4 + 1) + -1. Find the third derivative of 0*q**2 - 4*q**3 + h*q**2 - 3*q**2 wrt q.
-24
Let b(g) be the third derivative of -2*g**7/105 - 7*g**3/3 - g**2. Differentiate b(m) with respect to m.
-16*m**3
What is the third derivative of -9*z**3 - 32*z**2 + 3*z**3 + 2*z**2 - 6*z**3 wrt z?
-72
Find the second derivative of -2*x + 2*x**2 + 29 - 29 - x wrt x.
4
Let k be -2 + 3 + 18/(-24). Let s(g) be the first derivative of 0*g**2 - 1 + 2*g + k*g**4 + 0*g**3. What is the derivative of s(x) wrt x?
3*x**2
Let u(b) = -2*b**5 + 4*b**3. Let q(f) = -f**5 + 5*f**3 + f. Let o(a) = -4*q(a) + 5*u(a). What is the second derivative of o(t) wrt t?
-120*t**3
What is the derivative of 5*j**4 + 20 + 13 - 24 wrt j?
20*j**3
Let g(p) be the second derivative of p**7/210 - p**4/24 + p**2 - p. Let k(w) be the first derivative of g(w). Find the second derivative of k(h) wrt h.
12*h**2
Let v(u) be the third derivative of -u**5/60 - 5*u**4/24 + u**3/3 + u**2. Let i be v(-5). What is the third derivative of 4*f**i - 48*f + 4*f**3 + 48*f wrt f?
24
Differentiate 25 - 42*r**4 + 35*r**4 + 36*r**4 with respect to r.
116*r**3
Let f(q) be the third derivative of -11*q**7/70 + q**6/120 - 5*q**4/2 - 64*q**2. What is the second derivative of f(t) wrt t?
-396*t**2 + 6*t
Let p be (-3)/(-12) - 54/(-8). What is the second derivative of p*m - 6*m - m**2 + 2*m**2 wrt m?
2
Let o(k) = -4*k**3 + k**2 - 6. Suppose 5*v - 30 = -0*v. Let z(u) = -4*u**3 - 5. Let l(y) = v*z(y) - 5*o(y). What is the third derivative of l(p) wrt p?
-24
Let u(m) be the third derivative of 0*m**3 - 3*m**2 + 2/105*m**7 + 0*m - 1/60*m**5 + 0 + 0*m**4 + 0*m**6. Find the third derivative of u(h) wrt h.
96*h
Let z be (3 - (-52)/(-24))*6. What is the third derivative of 2*w**z + 2*w**5 + 5*w**2 + 2*w**2 wrt w?
240*w**2
Suppose -33 = a + 5*o, -2*a - 4 - 2 = -5*o. Let k = 19 + a. What is the third derivative of 0*w**2 + k*w**5 - 2*w**5 - 4*w**2 wrt w?
240*w**2
Suppose 4*d + 4 = 6*d. Find the second derivative of 0*o**2 - d*o - o**2 + 2*o - 2*o wrt o.
-2
Let u(n) = n + 15. Let o be u(-13). What is the third derivative of 3 - 3 + 37*v**o - 39*v**2 - v**3 wrt v?
-6
Let w(n) be the third derivative of 0*n**7 + 0*n**6 - 1/112*n**8 + 0*n**3 + 0 + 0*n - 1/24*n**4 + 0*n**5 + 3*n**2. What is the second derivative of w(y) wrt y?
-60*y**3
Let o(u) be the second derivative of 0*u**3 + 0*u**2 - 1/6*u**4 - 1/20*u**5 + 0 + u. Find the third derivative of o(t) wrt t.
-6
Let t(z) = z + 12. Let y be t(-9). Find the second derivative of i + i**3 - 2*i**y - 4*i**3 + i wrt i.
-30*i
Let k(q) be the third derivative of q**6/120 - q**4/12 - 5*q**2. What is the second derivative of k(z) wrt z?
6*z
Find the third derivative of -2*o**2 - 6*o**2 + 951*o**5 - 948*o**5 wrt o.
180*o**2
What is the derivative of 23 - 8*x**2 - 20 + 15 wrt x?
-16*x
Let q(i) be the second derivative of -2*i**7/21 + i**4/3 + 19*i**3/6 - 66*i. Find the second derivative of q(u) wrt u.
-80*u**3 + 8
Let x(j) be the third derivative of 5*j**4/8 - 31*j**3/3 + 2*j**2. What is the first derivative of x(k) wrt k?
15
Let o(w) = 7*w**2 - 8*w + 2. Let a(l) = -36*l**2 + 41*l - 11. Let u(h) = 2*a(h) + 11*o(h). Find the second derivative of u(i) wrt i.
10
What is the second derivative of 7*q**2 + 3*q**2 + 8*q + 0*q**2 + 2*q wrt q?
20
Let i(g) = 11*g**2 - 22*g - 7. Let p(r) = -5*r**2 + 11*r + 3. Let d(h) = -3*i(h) - 7*p(h). What is the second derivative of d(s) wrt s?
4
Let c(j) = -j**4 - 5*j + 6. Let s(g) = -4*g + 5. Let z(a) = -4*c(a) + 5*s(a). What is the first derivative of z(n) wrt n?
16*n**3
Let f(o) be the first derivative of o**4 + o**3/3 - 7. What is the third derivative of f(n) wrt n?
24
Let m be (-2)/(-5) + (-8)/(-5). Suppose -j = m*j - 6. Find the third derivative of 2*u**j + 0*u**3 + u**3 - 2*u**3 wrt u.
-6
Let o be 8/20 - (-8)/5. Let r be (o - 0)/(1 - 0). Find the second derivative of r*v**4 + v + 0*v - 3*v wrt v.
24*v**2
Let p(m) be the second derivative of -3*m**5/10 + 7*m**4/12 + 6*m. What is the third derivative of p(k) wrt k?
-36
Let k(z) be the third derivative of z**8/6720 + z**6/240 - z**5/12 + 4*z**2. Let p(x) be the third derivative of k(x). Differentiate p(r) wrt r.
6*r
Let q = -2 + 4. Find the second derivative of -18*n**4 + n + q*n + 19*n**4 wrt n.
12*n**2
Let g = 23 + -3. What is the second derivative of -5*r + 20 - 5*r**5 - g wrt r?
-100*r**3
Let r(k) be the first derivative of -2/7*k**7 - 2 + 0*k**2 + 0*k**4 + 5/3*k**3 + 0*k + 0*k**6 + 0*k**5. What is the third derivative of r(n) wrt n?
-240*n**3
Let a(n) be the third derivative of -17*n**4/24 + 17*n**3/6 + 18*n**2. What is the derivative of a(u) wrt u?
-17
Let t(m) = -3*m**4 - 2*m**2 - 11*m + 11. Let y(f) = -f + 1. Let l(h) = 2*t(h) - 22*y(h). Find the third derivative of l(x) wrt x.
-144*x
Suppose -w + 0*w = 0. Suppose -5*n + w = -10. What is the third derivative of 2*h**5 + 2*h**2 - 3*h**n - 3*h**5 wrt h?
-60*h**2
Let a(f) = -f**2 - f + 1. Let i(c) = 4*c + 5*c**2 + 1 + 1 - 5 + 7. Let p(t) = -4*a(t) - i(t). What is the first derivative of p(x) wrt x?
-2*x
Let b(g) = g**2 + 2*g - 5. Let n be b(-5). Let l = n + -8. What is the third derivative of -3*y**6 + 0*y**6 - l*y**2 - 4*y**5 + 4*y**5 wrt y?
-360*y**3
Let b(w) be the third derivative of 23*w**6/120 - 11*w**4/6 + 38*w**2. Find the second derivative of b(h) wrt h.
138*h
Find the first derivative of 3*n**3 + 3*n**3 - 1 - n**4 - 6*n**3 wrt n.
-4*n**3
Let u(m)