i.
-6*i
What is the second derivative of -6*v**3 + 5*v**3 - 4*v**3 + 8*v + 3*v**3 wrt v?
-12*v
Suppose -3*f = 2*f - 15. Find the third derivative of 2*a**3 - 5*a**2 + 6*a**3 - f*a**3 wrt a.
30
Find the third derivative of 6*p**2 - 381*p**5 + 389*p**5 + 3*p**2 wrt p.
480*p**2
Let b(v) = 2*v**3 + 2*v**2 - v - 2. Let m(y) = -y**4 - 3*y**3 - 3*y**2 + 3. Let n(t) = -6*b(t) - 4*m(t). What is the second derivative of n(k) wrt k?
48*k**2
Let c(g) = 8*g**2 + 18*g + 5. Let w(a) = -12*a**2 - 27*a - 8. Let b(o) = -8*c(o) - 5*w(o). What is the second derivative of b(r) wrt r?
-8
Let d(q) = 21*q**2 + 5*q - 6. Let a(x) = -x**2 + x - 1. Let g(j) = -5*a(j) + d(j). Find the first derivative of g(t) wrt t.
52*t
Suppose 0 = -3*a + a + 4*n + 4, 4*a - 12 = 4*n. Suppose 3*g = -a*o - 14, -2*g = -4*o + 9 - 33. Differentiate -1 - k**4 + g + 0*k**4 with respect to k.
-4*k**3
Find the first derivative of 42*o**4 - 38*o**4 + 9 + 10 - 5 wrt o.
16*o**3
Let h(n) = n**4 - n**2 + n + 1. Let a(b) = 4*b**4 + 3*b**2 - 3*b + 9. Let s(u) = -a(u) - 3*h(u). Differentiate s(g) with respect to g.
-28*g**3
What is the second derivative of 0*n**4 + 4*n**4 + 8 - 2434*n**3 + 2441*n**3 - 6*n wrt n?
48*n**2 + 42*n
What is the third derivative of 5*i**2 - 23*i**5 - 20*i**2 - 11*i**2 wrt i?
-1380*i**2
Suppose -4 - 16 = -5*o. Let n = 4 - 1. What is the derivative of -t**4 - o + n - 2 wrt t?
-4*t**3
Let v be 12/(-4)*(-8)/12. Let x(b) be the third derivative of 1/8*b**4 + 0*b - 2*b**v + 0 + 1/3*b**3. What is the derivative of x(m) wrt m?
3
What is the third derivative of -4*a**4 + a - a - 3*a**2 - a**4 wrt a?
-120*a
Let s(o) be the second derivative of o**6/3 + 2*o**3/3 - 6*o. Find the second derivative of s(h) wrt h.
120*h**2
Differentiate -6 + 8*s**3 - 8*s**3 + 23*s**3 - 8 wrt s.
69*s**2
Let j(f) be the first derivative of 1/2*f**2 + 2 + 0*f + 5/3*f**3. Find the second derivative of j(x) wrt x.
10
Let c(y) = 23*y**2 + 13*y - 2. Let h(m) = -45*m**2 - 26*m + 5. Let n(u) = 14*c(u) + 6*h(u). What is the second derivative of n(k) wrt k?
104
Let i(t) be the third derivative of -7/6*t**3 - t**2 + 1/35*t**7 + 0*t**6 + 0*t + 0*t**5 + 0 + 0*t**4. Differentiate i(v) wrt v.
24*v**3
Let o be (-8)/6 - (-4)/12. Let l be o - (-6 - (-3)/3). Find the second derivative of 4 + 2*p - l - 2*p**2 wrt p.
-4
Let b(t) = -19*t - 6. Let j(r) = -66*r - 21. Let m(d) = -18*b(d) + 5*j(d). What is the first derivative of m(x) wrt x?
12
Let n(p) be the second derivative of p**6/180 + p**4/24 - p**3/3 - p. Let c(r) be the second derivative of n(r). Find the first derivative of c(j) wrt j.
4*j
Suppose 8 = -2*x, -4*p = x - 13 - 15. Let g be (-4)/(-6) - p/(-6). Find the third derivative of 2*r**3 - 2*r**g - 2*r**3 + 2*r**4 wrt r.
48*r
Let r(m) be the second derivative of m**6/6 + 47*m**3/6 - m + 3. What is the second derivative of r(c) wrt c?
60*c**2
Let p be (8/(-6))/(-2)*6. Let b be -1 + (0 - -4 - 1). What is the first derivative of -i**p - 2 + b*i**4 - 2*i**4 wrt i?
-4*i**3
Let m(q) = -225*q**4 + 85*q**3 - 225*q**2. Let t(z) = -8*z**4 + 3*z**3 - 8*z**2. Let k(i) = 6*m(i) - 170*t(i). Find the third derivative of k(h) wrt h.
240*h
Let a(g) be the first derivative of 6*g**5/5 + 8*g**3/3 + 8. Find the third derivative of a(v) wrt v.
144*v
Let s(y) be the second derivative of 13*y**3/3 - 9*y**2/2 - 27*y. Differentiate s(l) wrt l.
26
Let m(r) be the first derivative of -12*r**5/5 - 6*r + 3. What is the first derivative of m(o) wrt o?
-48*o**3
Let k(u) = u**4 + u**3 - u**2. Let i(j) = -23*j**4 - 4*j**3 + 4*j**2 - 3*j. Let l(c) = -i(c) - 4*k(c). Find the second derivative of l(f) wrt f.
228*f**2
Let v(s) be the third derivative of s**7/840 - s**5/30 - s**4/12 + 3*s**2. Let m(u) be the second derivative of v(u). Differentiate m(b) with respect to b.
6*b
Find the second derivative of 2*o - 10*o**2 + 41 - 27*o**2 - 45 wrt o.
-74
Let w(u) be the third derivative of -2*u**2 - 1/2*u**3 + 0 + 0*u**4 + 0*u**5 + 1/40*u**6 + 0*u. Find the first derivative of w(a) wrt a.
9*a**2
Suppose -5*v + 8 - 3 = 0, 0 = -2*c - 4*v - 8. Let z be 16/6*(-9)/c. What is the first derivative of 6*s**4 + 0 - 2 - 7*s**z wrt s?
-4*s**3
Let m(h) be the third derivative of 4*h**7/35 - h**5/30 + h**4/24 + 21*h**2 + 2. Find the third derivative of m(n) wrt n.
576*n
Let v(y) be the second derivative of -y**5/20 + y**4/3 - 2*y**2 + 5*y. Let m(f) be the first derivative of v(f). Find the second derivative of m(t) wrt t.
-6
Suppose -12 = -2*c + 2*b + 2*b, 2*c = b + 9. Let n be 2/(c*1/6). What is the second derivative of n*d + 4*d - d**3 - d - 3*d wrt d?
-6*d
Let p(t) = -5*t**4 + t**2. Suppose -5*y = -8*y + 3. Let x(w) = -w**4 - w**2. Let s(f) = y*p(f) + 3*x(f). Find the third derivative of s(m) wrt m.
-192*m
Let s(a) be the second derivative of a**7/140 - a**6/72 + 4*a**3/3 + 2*a. Let y(g) be the second derivative of s(g). Find the third derivative of y(f) wrt f.
36
Let a(u) = -2*u**3 - 9*u**2 + 5*u + 3. Let l be a(-5). Differentiate 2*x**3 - 7*x**3 - 7 - l with respect to x.
-15*x**2
Find the third derivative of 4*r**3 - 8*r**4 - 5*r**3 - 10*r**4 + 35*r**2 wrt r.
-432*r - 6
Let x(z) be the third derivative of 0*z**6 + 0*z**5 + 0*z**3 + 0*z + 0 + 1/70*z**7 - 1/8*z**4 + 3*z**2. What is the second derivative of x(b) wrt b?
36*b**2
Let t be 3*(-3)/(9 + 0). Let q = t + 2. Differentiate q - 2*y**2 + 0*y**2 + 1 wrt y.
-4*y
Let q(t) = -70*t**3 + 15*t + 70. Let m(y) = 10*y**3 - 2*y - 10. Let w(x) = 15*m(x) + 2*q(x). Find the first derivative of w(v) wrt v.
30*v**2
Let p(l) be the second derivative of -1/2*l**2 + 0*l**4 + 0 - 3/10*l**5 + 0*l**3 + l. What is the derivative of p(j) wrt j?
-18*j**2
Let u(v) be the third derivative of -v**6/120 + v**5/60 + v**3/2 - 2*v**2. Let a(z) be the first derivative of u(z). Find the second derivative of a(x) wrt x.
-6
Let y(t) = t - 1. Let x(n) = -15. Let j(l) = x(l) - 3*y(l). Differentiate j(c) wrt c.
-3
Let m(z) be the first derivative of 7*z**4/4 - 3*z**2/2 + 1. Find the second derivative of m(g) wrt g.
42*g
Let i(g) = 95*g**4 + 5*g**3 + 13*g + 5. Let u(v) = -142*v**4 - 7*v**3 - 20*v - 7. Let d(y) = 7*i(y) + 5*u(y). Find the second derivative of d(s) wrt s.
-540*s**2
Suppose 4*n + 14 = -4*i + 42, 18 = 2*n + 3*i. What is the second derivative of -f**n - 2*f**3 + 0*f**3 - 2*f + 6*f**3 wrt f?
18*f
Let s(w) be the second derivative of 17*w**8/56 - w**4 - 24*w. What is the third derivative of s(u) wrt u?
2040*u**3
Let h(f) = 9*f**3 + 5*f + 5. Let y(g) = -g**3 - g**2 - g - 1. Let p = 6 - 1. Let u(d) = p*y(d) + h(d). Find the third derivative of u(n) wrt n.
24
Let w(d) = 3*d**4 + d + 72. Let o(a) = 6*a**4 + 3*a + 143. Let n(z) = -4*o(z) + 9*w(z). Differentiate n(t) wrt t.
12*t**3 - 3
Let k(i) be the third derivative of -i**7/2520 + i**5/40 - i**4/8 + 2*i**2. Let a(c) be the second derivative of k(c). What is the derivative of a(f) wrt f?
-2*f
Suppose 27 = 4*s + 7. Differentiate -12*z**2 + 2*z**2 + s*z**2 - 7 wrt z.
-10*z
Suppose -4*t + 57 = 3*k + 21, 0 = -2*t + 3*k. Let v be ((-4)/6 + 1)*t. Find the second derivative of -5*u**v - 4*u**2 + 8*u**2 - u wrt u.
-2
Let x(d) be the first derivative of -9*d**6/2 - 15*d**2 - 28. Find the second derivative of x(n) wrt n.
-540*n**3
Let w(b) be the second derivative of -b**5/20 + b**4/24 - 2*b**2 - 4*b. Let k(g) be the first derivative of w(g). What is the second derivative of k(p) wrt p?
-6
Let k(i) be the third derivative of 1/30*i**6 + 0 + 0*i - 4*i**2 + 0*i**4 + 0*i**5 + 7/6*i**3. What is the derivative of k(t) wrt t?
12*t**2
Let p(d) = -d + 1. Let x(u) = 13*u - 7. Let f(m) = -22*p(m) - 2*x(m). Find the first derivative of f(s) wrt s.
-4
Suppose -5*w = -3*w + 4. Let r be w/(-10) + 24/5. What is the second derivative of -2*d + 4*d**r + d**5 - 6*d**5 wrt d?
-20*d**3
Let a(t) be the third derivative of -t**5/60 + t**3/2 - t**2. Let d(o) = 4*o**2 - 9. Let u(j) = 7*a(j) + 2*d(j). Find the first derivative of u(h) wrt h.
2*h
Let l(z) be the third derivative of -4*z**9/63 - z**7/105 - 4*z**5/5 + 71*z**2. Find the third derivative of l(c) wrt c.
-3840*c**3 - 48*c
Let v(i) = i**3 + i**2. Let g(x) = 39*x**3 + 7*x**2 - 3. Let u(n) = -g(n) + 6*v(n). What is the third derivative of u(b) wrt b?
-198
Let r(g) be the first derivative of -24*g**7/7 + 10*g**3/3 - 5. What is the third derivative of r(c) wrt c?
-2880*c**3
Let