0*o**3
Let c(h) be the second derivative of 0*h**4 + 0*h**2 + 0*h**6 + 7*h - 1/42*h**7 - 2/3*h**3 + 0*h**5 + 0. Find the second derivative of c(x) wrt x.
-20*x**3
Find the second derivative of -4*l**2 + 4*l**2 + 6*l**2 - 7*l + 4*l**2 wrt l.
20
Let n(d) be the first derivative of 2*d**3 + 27*d - 26. Differentiate n(v) with respect to v.
12*v
Find the third derivative of -8*s**2 + 9*s**4 - 7*s**2 + 11*s**2 + 23*s**4 wrt s.
768*s
Suppose 4*u - 7*u = 0. Let q(p) be the second derivative of -p + 1/10*p**5 + 1/12*p**4 + 0*p**2 + 0*p**3 + u. Find the third derivative of q(f) wrt f.
12
Let b(r) = 22*r - 3. Let k(y) = 46*y - 7. Let c(w) = -7*b(w) + 4*k(w). What is the derivative of c(x) wrt x?
30
Let l = -1 + 5. Let o(u) = 2*u**2 + 4*u - 1. Suppose 0 = -z - 2 - 1. Let c(g) = g**2 + 3*g - 1. Let w(d) = l*c(d) + z*o(d). Differentiate w(t) wrt t.
-4*t
Let x(h) be the first derivative of -25*h**6/6 - 7*h**2 + 29. Find the second derivative of x(v) wrt v.
-500*v**3
Let j(n) = 20*n**3 - 4*n**2 - 17*n + 4. Let m(f) = -21*f**3 + 5*f**2 + 17*f - 5. Let o(i) = -5*j(i) - 4*m(i). Find the second derivative of o(t) wrt t.
-96*t
Let d(s) be the first derivative of -11*s**6/6 + 2*s**3/3 - 4. What is the third derivative of d(c) wrt c?
-660*c**2
Let l(b) = -7*b**3 + b**2 + b + 1. Let h be l(-1). Suppose -4*u = t - 21, 0 = 3*u - h*t + 3*t - 10. What is the first derivative of -5 + u + 2*p**4 + 2 wrt p?
8*p**3
Let a(q) be the first derivative of -6*q**5/5 + 5*q**2 + 4. Find the second derivative of a(o) wrt o.
-72*o**2
Let z = 0 - -3. Let d be (-8 - -2)*(-1)/2. Find the third derivative of y**2 + 0*y**2 + 2*y**d - z*y**3 wrt y.
-6
Let x(w) be the second derivative of -3*w + 0*w**3 + 0*w**6 - 1/42*w**7 + 0 + 0*w**5 + 0*w**2 - 1/3*w**4. Find the third derivative of x(b) wrt b.
-60*b**2
Let i(v) be the third derivative of 13*v**7/210 + 7*v**5/30 - 16*v**2. What is the third derivative of i(c) wrt c?
312*c
Let o(z) be the second derivative of z**9/3780 + z**6/180 - z**4/12 + z. Let d(j) be the third derivative of o(j). Find the second derivative of d(c) wrt c.
48*c**2
Let r(s) = -20*s**3 - s**2 + 7. Let a(x) = 20*x**3 + x**2 - 6. Let c(j) = -7*a(j) - 6*r(j). What is the third derivative of c(d) wrt d?
-120
What is the first derivative of -j**3 + 2*j**3 - 5 + 11 - 3 wrt j?
3*j**2
Suppose 0 = 5*p + 4*s - 19, -4*s = -3*p - 3*s + 8. Find the second derivative of 0*z - 3*z + 7*z**4 - p*z**4 - 3*z wrt z.
48*z**2
Let x be 20/9 + (-6)/27. Suppose x = 3*y + 2*s, 4*s + 20 = 2*y - 8. What is the third derivative of 4*n**y + 5*n**2 - 3*n**4 - 4*n**2 wrt n?
24*n
Find the third derivative of 34*v**2 - 148*v**6 + 31*v**2 + 153*v**6 wrt v.
600*v**3
Let g(s) = -77*s**3 + 5*s**2 + 5*s - 59. Let l(u) = 963*u**3 - 63*u**2 - 63*u + 738. Let n(c) = -63*g(c) - 5*l(c). What is the derivative of n(i) wrt i?
108*i**2
Let i(o) be the third derivative of 0*o**4 - 1/30*o**5 + 0 - 2*o**2 + 0*o - 1/6*o**3. Find the first derivative of i(m) wrt m.
-4*m
Let r(l) = -6*l**3 + 4*l**2 + 11. Let t(s) = -2*s**3 + s**2 + 4. Let j(u) = -4*r(u) + 11*t(u). Find the third derivative of j(m) wrt m.
12
Let c(z) = -z - 1. Let t be c(-1). What is the third derivative of t*m**4 - 2*m**2 - m**2 + m**2 - 3*m**4 wrt m?
-72*m
Let f = -23 + 32. Suppose -3*j + f + 0 = 0. Find the second derivative of -a**j + 5*a**3 + 6*a**2 - 6*a**2 - a wrt a.
24*a
Find the second derivative of 13*p**2 - 5*p**2 + 25*p**2 - 14*p + 6*p + 1 wrt p.
66
Let q(s) = s**3 + 2*s**2 + s. Let i be q(-1). Let v(d) be the first derivative of 0*d**2 + i*d**3 + 3/5*d**5 - 1 + 0*d**4 + 2*d. Differentiate v(r) wrt r.
12*r**3
Differentiate 2*a - 1 + 4 - 3*a - 6 wrt a.
-1
Suppose 2*a - 10 = -4. Let s = a - -2. Find the second derivative of v + s*v**4 - 2*v**4 - v**4 wrt v.
24*v**2
Let l(t) be the second derivative of -4/3*t**3 + 0*t**6 + 0 - 1/21*t**7 + 0*t**4 - 9*t + 0*t**5 + 0*t**2. What is the second derivative of l(z) wrt z?
-40*z**3
Let c = 24 - 24. Let j(r) be the first derivative of -r**3 - 1 + c*r**2 + 0*r + 1/2*r**4. What is the third derivative of j(f) wrt f?
12
Let b(c) be the third derivative of 0 + 1/60*c**5 + 0*c**6 - 3*c**2 + 0*c**7 - 1/112*c**8 + 0*c + 0*c**3 + 0*c**4. What is the third derivative of b(r) wrt r?
-180*r**2
Let x be 5/(-1 - (2 - 4)). Differentiate 4*q**2 + 4*q**2 - 6 + 3 - x*q**2 wrt q.
6*q
Find the second derivative of 12*c - 19*c**2 - 2*c - 5*c - 2*c wrt c.
-38
Let p(j) = -j**4 + j**3. Let u(a) = -25*a**4 + 20*a**3 - 40. Let x(b) = -20*p(b) + u(b). What is the first derivative of x(d) wrt d?
-20*d**3
Let p(d) = 14*d**4 + 6*d**3 + 6*d - 13. Let c(t) = 14*t**4 + 5*t**3 + 5*t - 12. Let h(j) = 6*c(j) - 5*p(j). Differentiate h(o) wrt o.
56*o**3
Let c(b) be the first derivative of -15*b**2/2 + 25*b - 6. Find the first derivative of c(y) wrt y.
-15
Let d(f) be the first derivative of 10*f**3 + 53*f**2/2 - 34. What is the second derivative of d(m) wrt m?
60
Let z(a) = a**3 + 5*a**2 + 4*a - 2. Let s be z(-4). Let y = s + 4. Find the third derivative of -4*p + 2*p**2 - y*p**3 + 4*p wrt p.
-12
Suppose -2*m - 5*y - 14 = -43, -10 = -2*y. Let j(d) be the first derivative of -1/4*d**4 + 1/3*d**3 + 0*d + 0*d**m - 1. Find the third derivative of j(w) wrt w.
-6
Let r(q) = -q**2. Let a(i) = 4*i**5 - 29*i**2. Let s(c) = a(c) - 6*r(c). Find the third derivative of s(o) wrt o.
240*o**2
Let o(w) be the first derivative of -w**7/21 + 5*w**3/6 + 8*w + 2. Let x(b) be the first derivative of o(b). Find the second derivative of x(n) wrt n.
-40*n**3
Let i(a) be the third derivative of a**7/105 - a**5/15 - 3*a**2. What is the third derivative of i(o) wrt o?
48*o
Let s(v) be the first derivative of -3*v**5/10 + v**4/6 + 4*v - 1. Let j(m) be the first derivative of s(m). Find the third derivative of j(l) wrt l.
-36
Let f(a) be the third derivative of -a**4/24 + 2*a**2. Let z be f(-2). Differentiate 0 + 6*w**4 - z - 4*w**4 with respect to w.
8*w**3
Let k(r) be the third derivative of -r**5/30 + r**3/2 - 8*r**2. What is the derivative of k(t) wrt t?
-4*t
Suppose -y - 1 = r + 2, -r - 3 = -5*y. Let u = 1 - r. What is the second derivative of 4 + m + m**2 - u wrt m?
2
Let v(p) be the third derivative of 1/12*p**5 - 1/168*p**8 + 0*p**3 + 0 + 0*p**7 + 5*p**2 + 0*p + 0*p**6 + 0*p**4. What is the third derivative of v(q) wrt q?
-120*q**2
Let w(i) be the first derivative of 3/5*i**5 - 2/3*i**3 + 0*i**2 + 0*i**4 - 2 + 0*i. Find the third derivative of w(l) wrt l.
72*l
Suppose -d + 1 = -2. Differentiate -h**3 - 1 - 5*h**3 + 2*h**3 + d*h**3 wrt h.
-3*h**2
Let s(k) be the third derivative of -k**10/2520 + k**6/40 - k**3 - 8*k**2. Let p(r) be the first derivative of s(r). What is the third derivative of p(x) wrt x?
-240*x**3
Let j(g) = g**3 + 4*g**2 + 5*g + 3. Let i be j(-2). What is the derivative of -4*l + 4 + i + 0*l - l wrt l?
-5
Let z(s) be the second derivative of s**7/105 + s**5/15 + 3*s**2/2 + 8*s. Let b(r) be the first derivative of z(r). What is the third derivative of b(m) wrt m?
48*m
Let r(t) be the first derivative of -t**7/105 - t**4/24 + 5*t**2/2 + 5. Let w(q) be the second derivative of r(q). What is the second derivative of w(z) wrt z?
-24*z**2
Let k(s) be the second derivative of -1/2*s**3 + 5*s + 2/5*s**5 + 0*s**4 + 0*s**2 + 0. Find the second derivative of k(z) wrt z.
48*z
What is the second derivative of -8*f**3 - 15*f + 19*f**4 + 8*f**3 - 7*f**4 wrt f?
144*f**2
Let v(y) be the third derivative of y**6/40 + 2*y**5/15 - 9*y**2. What is the third derivative of v(s) wrt s?
18
Let r(u) be the first derivative of 4*u**5 - 49*u**3/3 + 41. Find the third derivative of r(i) wrt i.
480*i
Let s(f) be the first derivative of -3/7*f**7 + 0*f - 2/3*f**3 + 0*f**6 + 0*f**4 + 0*f**2 + 0*f**5 + 2. Find the third derivative of s(j) wrt j.
-360*j**3
Let c(o) be the first derivative of o**7/840 - o**6/360 - 2*o**3/3 + 1. Let t(q) be the third derivative of c(q). Find the third derivative of t(h) wrt h.
6
Let y(w) be the third derivative of -w**6/720 + w**5/40 - w**4/12 + 2*w**2. Let n(l) be the second derivative of y(l). Find the first derivative of n(r) wrt r.
-1
Differentiate -5*f**2 - 15 + 13*f**2 + 4*f**2 with respect to f.
24*f
Let b(f) = -f**3 - 8*f**2 - 7*f + 2. Let q be b(-7). Find the third derivative of 5*p**5 + 3*p**q - 3*p**2 - 4*p**2 wrt p.
300*p**2
Find the 