ivative of 4*c**t - 3*c**5 + 2*c**2 + 0*c**5 wrt c.
60*c**2
Let j(x) be the first derivative of -2*x**5 + 9*x**3 + 13. Find the third derivative of j(c) wrt c.
-240*c
Suppose v = 2 - 1. What is the third derivative of 5*m**2 - v + 2 + 3*m**3 - 1 wrt m?
18
What is the third derivative of -20*h**4 + 32*h - 9*h - 23*h**2 - 23*h wrt h?
-480*h
Let v(q) = -6*q**4 - 8*q. Let z(j) = 7*j**4 + 8*j. Let h(t) = 6*v(t) + 5*z(t). Find the second derivative of h(g) wrt g.
-12*g**2
Let o(m) = 4*m**3 - 2*m**2 - 13*m + 58. Let x(v) = v**3 - v**2 - v + 1. Let p(w) = o(w) - 2*x(w). What is the derivative of p(j) wrt j?
6*j**2 - 11
Let v(u) be the first derivative of -4/3*u**3 + u**4 + 1 + 0*u + 0*u**2. Find the third derivative of v(b) wrt b.
24
Find the third derivative of -683*m + 683*m + 57*m**6 + 32*m**2 - 18*m**6 wrt m.
4680*m**3
What is the third derivative of 17*j**3 + 28*j**2 - 17*j**3 + 20*j**4 wrt j?
480*j
Let q(d) be the first derivative of d**5/12 + d**4/6 - 3*d**2 - 3. Let i(o) be the second derivative of q(o). Find the second derivative of i(s) wrt s.
10
Let s(f) = 14*f**2 + f. Let h(a) be the first derivative of -9*a**3 - 3*a**2/2 - 7. Let v(t) = -4*h(t) - 7*s(t). Find the second derivative of v(c) wrt c.
20
Let s(v) = -v**2 - 7*v - 7. Let p be s(-7). Let f = p - -12. Find the second derivative of 4*d + f*d**3 - 10*d**3 - 3*d**4 + 5*d**3 wrt d.
-36*d**2
Let v(s) = -75*s**3 - 8*s**2 - 2. Let d(p) = p**3 + 2*p**2 + 1. Let y(o) = 2*d(o) + v(o). What is the third derivative of y(l) wrt l?
-438
Let p(h) be the third derivative of h**6/120 + h**5/20 + h**2. Find the third derivative of p(r) wrt r.
6
Let c(n) = -23*n**5 - 6*n**3 - 27*n - 6. Let r(y) = 23*y**5 + 7*y**3 + 27*y + 7. Let d(v) = -7*c(v) - 6*r(v). Find the second derivative of d(p) wrt p.
460*p**3
Let m(d) be the first derivative of d**2 + 0*d**5 + 0*d**3 + 0*d**4 + 1 + 1/2*d**6 + 0*d. Find the second derivative of m(a) wrt a.
60*a**3
Let d be (-12)/(-10)*5/2. Differentiate d*a**2 + 22 - 16 - 2*a**2 wrt a.
2*a
Suppose -3*b - 2*v = 3 - 4, -20 = -4*v. Let t = -1 - b. What is the second derivative of -3*d + 3*d - 4*d + 3*d**t + 5*d wrt d?
6
Let p(a) = -a**4 + a**3 - a**2 - 1. Let l(d) = 7*d**4 - 6*d**3 + 5*d**2 + 13. Let q(o) = -l(o) - 5*p(o). Differentiate q(b) wrt b.
-8*b**3 + 3*b**2
Suppose 0 = -5*i + 3*r + 15, -5*r = -14 + 39. Let s(u) be the first derivative of 2*u + i*u**2 - 1 + 0*u**3 + 1/4*u**4. Find the first derivative of s(y) wrt y.
3*y**2
Let j(d) = -d**4 - d**3 - d**2. Let p(c) = -4*c**4 + 2*c**3 + 2*c**2 - c - 25. Let h(a) = -2*j(a) - p(a). What is the first derivative of h(g) wrt g?
24*g**3 + 1
Let y(d) be the first derivative of 1/2*d**2 - 1 - 2*d. Differentiate y(x) with respect to x.
1
Suppose 0 = 6*m - m - 20. What is the third derivative of -2*b**2 - 5*b**6 + m*b**6 + b**2 - 2*b**6 wrt b?
-360*b**3
Suppose 2*y - 3*p + 21 = 2*p, 0 = -y + p - 3. Suppose -y*h - 3*z = 9, h - 2*z - 12 = 2*z. Differentiate 0*n**2 + 2 - 4 + h*n**2 + 3*n**3 wrt n.
9*n**2
Suppose 21 = 4*y - y. Suppose -w = -y + 3. What is the third derivative of j**4 - 2*j**w + j**2 - 3*j**2 wrt j?
-24*j
Let b(y) be the third derivative of -y**2 + 0*y**7 + 0*y**3 + 0*y + 1/112*y**8 + 0*y**6 - 1/60*y**5 + 0*y**4 + 0. Find the third derivative of b(t) wrt t.
180*t**2
Let h = 12 + -8. What is the second derivative of l - 5*l**4 - 7*l**h + 11*l**4 wrt l?
-12*l**2
What is the third derivative of -2*l**2 - 15*l**5 - l**5 + 3*l**5 wrt l?
-780*l**2
Let g(s) be the second derivative of -s**8/336 - s**4/8 - 2*s**2 - 4*s. Let x(u) be the first derivative of g(u). Find the second derivative of x(n) wrt n.
-20*n**3
Suppose -5 - 1 = p. Let l(k) = 2*k**3 + 9*k**2 - 6. Let x(t) = 2*t**3 + 10*t**2 - 7. Let n(d) = p*x(d) + 7*l(d). What is the third derivative of n(s) wrt s?
12
Suppose z + 4*z + 25 = 0. Let b = 9 + z. What is the second derivative of 2*d - 4*d + 0*d**4 - d**b wrt d?
-12*d**2
Let o(w) = -33*w**5 - 5*w**3 - 33*w - 5. Let d(s) = -17*s**5 - 3*s**3 - 17*s - 3. Let g(q) = 5*d(q) - 3*o(q). What is the second derivative of g(z) wrt z?
280*z**3
Let h(x) = -x - 5. Let w be h(-8). Find the second derivative of -6*t**w + 2*t**3 + 4*t**3 - t**3 + t wrt t.
-6*t
Let o(x) be the third derivative of -x**5/60 + 5*x**3/6 + 8*x**2. Differentiate o(r) with respect to r.
-2*r
Let d(r) be the second derivative of 0*r**2 + 0 + 1/3*r**3 - 5/12*r**4 + 4*r. What is the second derivative of d(o) wrt o?
-10
Let n(x) = -1. Let w(p) = -7*p + 4. Let g(i) = -n(i) - w(i). Find the first derivative of g(v) wrt v.
7
Let q(p) = -4*p**3 - 9*p**2 - 2*p. Let v(w) = -7*w**3 - 19*w**2 - 5*w. Let k(s) = 10*q(s) - 4*v(s). What is the third derivative of k(c) wrt c?
-72
Let m(d) = 44*d + 92. Let u(v) = -15*v - 30. Let k(z) = -3*m(z) - 8*u(z). What is the derivative of k(w) wrt w?
-12
What is the first derivative of 2 + 350*j**2 - 376*j**2 + 15 wrt j?
-52*j
Find the second derivative of 12*f**5 - f + 12*f**2 - 10*f**2 - 2*f**2 wrt f.
240*f**3
Let c(z) be the first derivative of 2*z**3 + 3/2*z**4 + 0*z**2 - 6 + 0*z. What is the third derivative of c(a) wrt a?
36
Let h(t) be the third derivative of -t**6/180 - t**5/60 - t**3/3 + 2*t**2. Let c(a) be the first derivative of h(a). Find the second derivative of c(l) wrt l.
-4
What is the second derivative of -13*z**5 + 13*z - 6*z + 6*z wrt z?
-260*z**3
Let t(d) be the first derivative of 0*d**2 + 1 + 1/7*d**7 + 0*d**6 + 0*d + 0*d**4 - 2*d**3 + 0*d**5. Find the third derivative of t(n) wrt n.
120*n**3
Let m = -90 - -94. Let x(c) be the first derivative of 0*c**5 + 0*c**4 - 3/2*c**2 + 1/6*c**6 + 0*c**3 - m + 0*c. Find the second derivative of x(r) wrt r.
20*r**3
Let h(y) be the second derivative of 23*y**8/56 + 7*y**4/6 + 3*y. Find the third derivative of h(n) wrt n.
2760*n**3
Find the third derivative of -u**2 + 34*u**3 - 19*u**3 - 4*u - 12*u**3 wrt u.
18
Let l(p) = -p**3 - p**2 + 2. Let v be l(0). Find the third derivative of 3*y**4 + 3*y**v + 0*y**2 + 0*y**2 wrt y.
72*y
Let h(k) = -k + 1. Let m(p) = -9*p + 12. Let c(o) = -h(o) + m(o). Differentiate c(f) with respect to f.
-8
Let v(x) be the second derivative of 0*x**2 + 0 - 1/3*x**3 - 1/6*x**4 - 4*x. Find the second derivative of v(d) wrt d.
-4
Suppose 5*r + 15 = 8*r. What is the first derivative of -7*y**2 - 3 - y**2 + r + 1 wrt y?
-16*y
Let g(s) be the first derivative of s**4/4 - 2*s**2 + 59. Find the second derivative of g(t) wrt t.
6*t
Let c = 16 + -13. Find the third derivative of 36*y - 36*y - y**c - y**2 wrt y.
-6
Let q(x) = x**2 + 6*x + 3. Let n be q(-6). What is the third derivative of n*k**2 + 7*k**5 + 0*k**4 + 0*k**4 - 2*k**5 wrt k?
300*k**2
Let u(d) = -4*d**3 - 13*d - 18. Let h(a) = 2*a**3 + 6*a + 9. Let q(j) = 13*h(j) + 6*u(j). What is the first derivative of q(c) wrt c?
6*c**2
What is the second derivative of -6*i**3 + 7*i - 18*i**3 + 0*i - 8*i**3 wrt i?
-192*i
Find the third derivative of 0*i + 27*i**3 - 6*i + 6*i + 19*i**2 wrt i.
162
Let z(m) be the third derivative of -19*m**6/60 + 17*m**3/3 - 17*m**2. Find the first derivative of z(u) wrt u.
-114*u**2
Let m(f) = -f**2 - 4*f + 4. Let g be m(-4). Let b = g + -2. What is the first derivative of -2 - 2*p**3 - p**3 + b*p**3 wrt p?
-3*p**2
Let m = -14 - -17. Find the third derivative of 5*a**2 + 4*a**3 + 0*a**2 + 4*a**m - a**3 wrt a.
42
Let t(o) = -o - 1. Let p(g) = -2*g + 3*g - 4 - 3*g. Let i(z) = 4*p(z) - 11*t(z). Differentiate i(h) with respect to h.
3
Let s(p) = -p**3 + 5*p**2 - 15*p - 5. Let b(t) = -2*t**2 + 7*t + 2. Let f(h) = -15*b(h) - 6*s(h). What is the second derivative of f(r) wrt r?
36*r
Let g(p) be the first derivative of -3*p**4 - 3*p**2/2 + 6. What is the second derivative of g(x) wrt x?
-72*x
Let a(j) = -18*j - 13. Let f(o) = -9*o - 6. Let q(u) = 2*a(u) - 5*f(u). Let h(p) = 8*p + 3. Let v(r) = 5*h(r) - 4*q(r). Differentiate v(x) with respect to x.
4
Suppose 4*d + 4*c - 40 = 0, 3*c = 7*c - 12. Let n(p) = -p**2 + 7*p. Let b be n(d). Differentiate -k**4 + b + 0 - 3 + 5*k**4 wrt k.
16*k**3
Let b be (-2 + 8)*4/6. Find the first derivative of 0 - 6*h**4 + 10*h**b + 3 wrt h.
16*h**3
Let u(m) be the first derivative of -5*m**4/2 + 3*m**3 - 10. Find the third derivative of u(p) wrt p.
-60
Let o = -87 + 90. Let s(n) be the second derivative of 0*n**o + 3*n + 1/2*n**2 + 0 - 1/3*n**4. What is the de