 - 2*t**4 + s*t**4 wrt t.
144*t
Let v(a) be the first derivative of -a**6/24 - 5*a**4/24 + 3*a**2/2 - 3. Let l(u) be the second derivative of v(u). Find the second derivative of l(p) wrt p.
-30*p
Find the first derivative of 9*f**4 + f**2 - 3*f**2 + 2*f**2 - 9 wrt f.
36*f**3
Let x(k) = k - 3. Let l be x(5). Differentiate 4*w**2 + l - 21*w + 21*w with respect to w.
8*w
Let f be (-4)/28 - 4/(-28). Let n(a) be the second derivative of 0*a**3 + 3/2*a**2 + f - 2*a - 1/4*a**4. Find the first derivative of n(b) wrt b.
-6*b
Let p be (105/6)/(1/2). Let i be (-10)/p - (-2)/7. Find the first derivative of 2 - 1 - c**2 + i wrt c.
-2*c
Let a be (3 - 2) + 2/2. What is the first derivative of -4 - 4*g**4 + a*g**3 - 2*g**3 wrt g?
-16*g**3
Let z(h) be the first derivative of h**6/180 + h**4/24 + h**3/3 - 2. Let v(l) be the third derivative of z(l). Differentiate v(y) wrt y.
4*y
Suppose -o + 4*o = 12. Let k(y) = y - 2. Let g be k(o). Differentiate -3 - d**2 + d**2 - 3*d**g with respect to d.
-6*d
Find the second derivative of -6*n**2 + 3*n**2 + 19*n**2 + 12*n - 21*n wrt n.
32
Find the second derivative of 13*d**3 - 15*d - 14*d**3 + 2*d wrt d.
-6*d
Let t(l) be the first derivative of -l**8/336 + l**6/180 - 7*l**3/3 + 6. Let q(r) be the third derivative of t(r). What is the third derivative of q(d) wrt d?
-120*d
Let a(d) = -2*d - 4. Suppose -p = 4*u + 16, -4*u - p - 3*p - 16 = 0. Let g be a(u). Find the second derivative of -g*j**2 - 2*j + j**3 + 4*j**2 wrt j.
6*j
Find the second derivative of -21*f + 23*f + 24*f**5 + 4*f wrt f.
480*f**3
Let v = 36 + -56. Let p be -1 + (v/(-2))/2. What is the third derivative of 5*c**4 - 4*c**4 - 4*c**p - 2*c**2 wrt c?
-72*c
Find the second derivative of 0*p - 2*p - p**4 - p wrt p.
-12*p**2
Let l be 5/2*(-6)/(-5). What is the first derivative of 0*n**3 - 3 + 0*n**l - 3*n**4 wrt n?
-12*n**3
What is the second derivative of 14*j - 12*j**2 + 13*j**3 + 12*j**2 + 2*j**3 wrt j?
90*j
Let c(m) be the first derivative of 11*m**6/6 - m**2/2 - 2. What is the second derivative of c(k) wrt k?
220*k**3
What is the third derivative of -2*j**5 - 4*j**5 - 3*j**5 + 5*j**5 + j**2 wrt j?
-240*j**2
Suppose -15*i + 8 = -11*i. What is the third derivative of -4*w**i + 5*w**3 + 6 - 6 wrt w?
30
Let s(d) be the third derivative of 47*d**4/24 + 20*d**3/3 + 3*d**2 - 12. Differentiate s(f) wrt f.
47
Let l(m) = -13*m**6 + 3*m**5 - 40*m**2 - 3. Let b(k) = 12*k**6 - 4*k**5 + 41*k**2 + 4. Let r(x) = -3*b(x) - 4*l(x). Find the third derivative of r(v) wrt v.
1920*v**3
Find the second derivative of 7*b**3 + 2*b**2 - 5*b**3 + 15*b**2 + 30*b + 5*b wrt b.
12*b + 34
What is the derivative of 8*c**2 + 2*c**2 - 24*c**2 + 21 wrt c?
-28*c
Let j(h) = 5*h + 20. Suppose 13 + 14 = -3*z. Let f(t) = -t - 5. Let w(b) = z*f(b) - 2*j(b). Find the first derivative of w(u) wrt u.
-1
Let c(r) be the third derivative of r**8/84 - r**5/30 - r**4/4 - 7*r**3/6 + 46*r**2. Find the second derivative of c(o) wrt o.
80*o**3 - 4
Let u(o) be the third derivative of -8*o**7/105 + 13*o**4/8 + 24*o**2. Find the second derivative of u(k) wrt k.
-192*k**2
Suppose 0 = 4*g + 4*t - 16, 0*g + g + 4*t - 10 = 0. What is the second derivative of 5*z - 4*z - 2*z**g + z wrt z?
-4
Suppose 30 = 4*l + 10. Find the first derivative of 4 - 4*j**2 + 1 + 6 - l wrt j.
-8*j
Let x(a) be the third derivative of -7*a**5/60 - 5*a**4/3 + 23*a**2. Find the second derivative of x(i) wrt i.
-14
Let i(d) be the first derivative of 0*d + 4 + 0*d**3 + 3/4*d**4 + d**2. Find the second derivative of i(v) wrt v.
18*v
Let k(f) = 5*f**5 + f**2 - 3*f. Let h(m) = -1 - 4 - 16*m**5 + 10*m + 5 - 4*m**2. Let u(o) = -6*h(o) - 20*k(o). What is the third derivative of u(s) wrt s?
-240*s**2
Let t(s) = -22*s**2 + 80. Let p(q) = 11*q**2 - 40. Let n(l) = 7*p(l) + 3*t(l). Differentiate n(k) wrt k.
22*k
Let z(g) be the second derivative of -3*g**6/10 - 11*g**2/2 - 11*g. What is the derivative of z(s) wrt s?
-36*s**3
Let r(b) = 53*b**3 + 2*b**2 - 2*b - 29. Let f(k) = k**3 - k**2 + k - 1. Let a(q) = 2*f(q) + r(q). Differentiate a(p) wrt p.
165*p**2
Let x = -13 - -18. Find the second derivative of 313 - 313 + 3*u - u**4 - x*u wrt u.
-12*u**2
Find the third derivative of 9*m**2 - 5*m**2 + 3*m - 3*m + 6*m**5 wrt m.
360*m**2
Find the third derivative of -426*b**3 + b**2 + 414*b**3 - 2*b**2 wrt b.
-72
Find the second derivative of 0*m - 2*m**4 - m - 13*m**4 + 7*m**4 wrt m.
-96*m**2
Find the second derivative of -4*c + 16*c - 9*c + 4*c**2 wrt c.
8
Find the third derivative of 30*o**2 - 3*o**4 + 0*o**4 - 10*o**4 wrt o.
-312*o
Find the third derivative of 18*s**3 + 12*s**2 - 18*s**2 - 2*s**3 wrt s.
96
Let i(r) be the second derivative of -17*r**7/42 + 11*r**3/6 - 23*r. What is the second derivative of i(w) wrt w?
-340*w**3
Let i be -2 + 1 + 2 + 14. What is the second derivative of i*t**5 + 0*t + t - 20*t**5 wrt t?
-100*t**3
Find the third derivative of 8*q**2 - 57*q**2 + 3*q**3 - 3*q**5 + 8*q**3 wrt q.
-180*q**2 + 66
Let j = 8 + -3. Let v(q) be the third derivative of 0*q + 0 + 2*q**2 + 0*q**j - 1/120*q**6 - 1/6*q**3 + 0*q**4. What is the derivative of v(t) wrt t?
-3*t**2
Let q be (-3 + -1)*(-9)/(-12). Let r be (q/5)/(4/(-20)). What is the second derivative of -2 + 2 - 3*v**2 + 0 + r*v wrt v?
-6
Let h(n) be the second derivative of 5*n**4/12 - n**3/2 + 3*n. Find the second derivative of h(p) wrt p.
10
Find the second derivative of 0*t + 2*t**4 + 0*t + t wrt t.
24*t**2
Find the first derivative of 2 - 2*f**2 - 4 - 6 + 4*f**2 wrt f.
4*f
Let x = 13 + -14. Let d(n) = -n**2 - n - 1. Let p(i) = 3*i**2 - 8*i + 1. Let l(q) = x*p(q) - d(q). What is the second derivative of l(c) wrt c?
-4
Let k(n) be the second derivative of -n**6/24 - n**5/15 + n**2/2 + 2*n. Let f(v) be the first derivative of k(v). Find the third derivative of f(t) wrt t.
-30
What is the derivative of 2*d**4 - 3 - 1 + 9 + 3*d**4 wrt d?
20*d**3
Suppose -n - x = 1, 4*x + 18 = 5*n - 13. Find the first derivative of 1 + 0*o**n + 2 - 3*o**3 wrt o.
-9*o**2
Let c be (-2 + 1)*(-3 + 0). Suppose 6 + c = 3*u. Differentiate 2*l**2 - 2*l**2 + u*l**4 + 1 with respect to l.
12*l**3
Differentiate -5*o**3 - 6*o**3 - 13 + 35 - 5*o**3 wrt o.
-48*o**2
Suppose 4*i + 2*k = -4 + 20, i - k - 1 = 0. What is the first derivative of -7*h**4 + 9*h**3 - 9*h**i + 8 wrt h?
-28*h**3
Let j(w) be the second derivative of -w**7/210 - w**4/8 + w**2 - 3*w. Let v(z) be the first derivative of j(z). What is the second derivative of v(f) wrt f?
-12*f**2
What is the third derivative of 15*k**3 - 24*k**2 + 9*k**2 + 11*k**2 - k**3 wrt k?
84
Find the second derivative of -81*c**5 - 93*c**5 + 27*c + 189*c**5 wrt c.
300*c**3
Suppose 2*s + 12 = 5*s. Let h(q) be the second derivative of 0 - q**2 + 0*q**5 + q + 1/15*q**6 + 0*q**3 + 0*q**s. What is the first derivative of h(k) wrt k?
8*k**3
Let k(h) = 47*h**2 - 45. Let p(n) = -23*n**2 + 23. Let s(j) = -4*k(j) - 9*p(j). Find the first derivative of s(r) wrt r.
38*r
Suppose p = -0*p + 6. What is the second derivative of -p*y**3 + 8*y**3 + 0*y**3 - 2*y wrt y?
12*y
Let u(g) = 14*g**3 - 8*g**2 - 12*g + 8. Let a(l) = 5*l**3 - 3*l**2 - 4*l + 3. Let s(i) = -8*a(i) + 3*u(i). Find the second derivative of s(z) wrt z.
12*z
Let w(g) = -g**3 - g**2 + g. Let i(p) = -49*p**3 - 5*p**2 + 5*p + 28. Let b(a) = i(a) - 5*w(a). Differentiate b(v) with respect to v.
-132*v**2
Suppose 2 = 5*u - 13. Let q(c) = 5*c**3 + 4*c**2 - 6. Let p(s) = 4*s**3 + 3*s**2 - 5. Let i = 0 - 4. Let y(w) = i*p(w) + u*q(w). Differentiate y(b) wrt b.
-3*b**2
Let l(d) be the first derivative of -29*d**2/2 - 19*d - 9. What is the derivative of l(h) wrt h?
-29
Let l(d) be the third derivative of -d**6/30 - d**5/30 + 6*d**2. Find the third derivative of l(k) wrt k.
-24
Let f(x) be the third derivative of -13*x**8/336 + 13*x**5/60 + 7*x**2. Find the third derivative of f(p) wrt p.
-780*p**2
What is the second derivative of 11*l**4 - 15*l - 2*l**4 + 9*l - 23*l wrt l?
108*l**2
Let h = 46 - 46. Let f(k) be the third derivative of 3*k**2 - 1/6*k**3 + 0*k**6 + 0 + 0*k**4 + 0*k**5 - 1/105*k**7 + h*k. Differentiate f(s) wrt s.
-8*s**3
Let u be 0 - (-5)/((-10)/(-8)). Let d = 0 + u. Find the second derivative of 2*t**4 + 3*t + 0*t - 3*t**d wrt t.
-12*t**2
Let b(l) be the second derivative of -l**6/720 - l**5/40 - l**4/4 + 2*l. Let i(q) be the third d