*s**3 + 7*s**2 + 7*s - 39. Let y(t) = 47*t**3 + 5*t**2 + 5*t - 26. Let g(v) = 7*y(v) - 5*z(v). Differentiate g(w) with respect to w.
-63*w**2
Let g(a) be the second derivative of a**5/5 - 5*a**4/12 - 10*a. What is the third derivative of g(n) wrt n?
24
Let h(t) = -47*t**2 + 37*t - 3. Let a(i) = 48*i**2 - 36*i + 2. Let f(c) = -3*a(c) - 2*h(c). Find the second derivative of f(p) wrt p.
-100
Let v(m) be the third derivative of 0*m**3 + 0*m**5 - 1/12*m**4 + 0 + 1/60*m**6 + 0*m - 2*m**2. What is the second derivative of v(c) wrt c?
12*c
What is the second derivative of -79*y**5 + 84*y - 32*y + 18*y**5 wrt y?
-1220*y**3
Let t be 1/((-1)/3*-1). Suppose 2 = t*f - f. What is the derivative of 3*j - 3*j - 3*j**2 - f wrt j?
-6*j
What is the second derivative of 6*z**5 - z**5 + 3*z**5 + 10*z wrt z?
160*z**3
Let j(a) = a**2 - 7*a + 2. Let i be j(7). Differentiate -5 - z**2 + 2 - 2*z**2 + 0*z**i wrt z.
-6*z
Let t(c) be the first derivative of -24*c**5/5 + 38*c - 33. What is the first derivative of t(r) wrt r?
-96*r**3
What is the derivative of 1 + 4 + 0*h**2 - 9 + 11*h**2 wrt h?
22*h
Let d(y) be the second derivative of 5*y**4/6 + 10*y**3/3 - 11*y. Find the second derivative of d(t) wrt t.
20
Let r(b) be the first derivative of b**7/42 + b**4/6 + 2*b - 3. Let n(h) be the first derivative of r(h). Find the third derivative of n(m) wrt m.
60*m**2
Let k(o) be the first derivative of 36*o**2 + 35*o - 46. Find the first derivative of k(u) wrt u.
72
Let i(v) be the second derivative of v**5/10 - v**4/3 + 4*v**2 - 7*v. Let u(d) be the first derivative of i(d). Find the second derivative of u(j) wrt j.
12
Let o(t) be the first derivative of -19*t**7/7 + 2*t**3 + 11. What is the third derivative of o(s) wrt s?
-2280*s**3
Let u(q) = -1 - 3 + 2*q**2 + 3*q - 7*q**2. Let o(v) = 4*v**2 - 2*v + 4. Let n(i) = -3*o(i) - 2*u(i). What is the derivative of n(h) wrt h?
-4*h
Let y(h) = 30*h**4 - 10*h**3 + 10*h + 46. Let v(s) = 10*s**4 - 3*s**3 + 3*s + 15. Let f(a) = -10*v(a) + 3*y(a). What is the derivative of f(z) wrt z?
-40*z**3
Let y(h) = -9*h**3 - 5*h + 2. Let a(z) = -19*z**3 - 10*z + 5. Let b(l) = 2*a(l) - 5*y(l). What is the second derivative of b(q) wrt q?
42*q
Let k(h) be the second derivative of 0*h**2 + 2/21*h**7 + 0 + 0*h**3 + 1/12*h**4 + 0*h**6 + 0*h**5 - 4*h. Find the third derivative of k(i) wrt i.
240*i**2
Let n = -2 + 2. Suppose 0 = -2*s - n*s. Find the first derivative of b**2 + b**2 + s*b**2 - 2 wrt b.
4*b
Let g be ((-3)/(-2))/(3/4). Suppose 30 = 5*m + 5*p, 5*m - g = -0*p + 2*p. Differentiate 0 + 4 - m - a**2 with respect to a.
-2*a
Find the second derivative of -11*f + 12*f**2 - 19*f**2 + 12*f**2 wrt f.
10
Suppose 3*u - 60 = -0*u. Suppose -u + 8 = -4*t. What is the derivative of 2*k**3 + 2 + k**t + 0*k**3 wrt k?
9*k**2
Let y(p) be the first derivative of 0*p + 8 - 7/4*p**4 - 1/2*p**2 + 0*p**3. Find the second derivative of y(d) wrt d.
-42*d
Let t(f) be the first derivative of 0*f + 0*f**4 - 4 - 1/3*f**3 + 0*f**2 + 2/5*f**5. Find the third derivative of t(g) wrt g.
48*g
Suppose -3*k - 4*z = 1, -k + 4*k = -2*z + 1. What is the first derivative of 3*l**4 - k - l**4 - l**4 wrt l?
4*l**3
Let s(p) be the second derivative of -1/20*p**5 - 3*p - p**2 + 0*p**4 + 0 + 1/3*p**3. Let h(n) be the first derivative of s(n). Differentiate h(r) wrt r.
-6*r
Let v(a) = 3*a - 3. Let g be v(2). What is the second derivative of -3*u + 6*u**3 + g*u - 4*u - 14*u**3 wrt u?
-48*u
Let r = -3 - -7. What is the second derivative of 2*l**4 + 3*l**r - 2*l**4 - 4*l + 2*l wrt l?
36*l**2
Let w(v) be the second derivative of -2/15*v**6 + 0 - 2/3*v**3 - 2*v + 0*v**2 + 0*v**4 + 0*v**5. What is the second derivative of w(j) wrt j?
-48*j**2
Suppose -z - 2*y + 5 = -4, -4*y = -4*z. Find the third derivative of o**z + 4*o**3 + 4*o**2 - o**3 wrt o.
24
Let h(d) be the first derivative of -2*d - 1/4*d**4 + 0*d**3 + 0*d**2 - 2. Differentiate h(n) wrt n.
-3*n**2
Let z(v) be the second derivative of 0 - 1/2*v**2 + 1/6*v**4 + 0*v**3 - 4*v. Differentiate z(j) wrt j.
4*j
Let s(l) = -l**4 - 4. Let a(c) = -3 - 5*c**4 - c**2 - 6 + 2*c**2 + 2*c**4. Let q(h) = -4*a(h) + 9*s(h). Find the third derivative of q(f) wrt f.
72*f
Let f(p) be the second derivative of 61*p**7/42 + 29*p**4/6 - 3*p. Find the third derivative of f(x) wrt x.
3660*x**2
Let c be (0 + (1 - 1))/(-2). Suppose 3*k + 3*t = -c + 18, 0 = 2*k - 2*t. Find the second derivative of -k + 3 + 3*o**3 + 2*o wrt o.
18*o
What is the derivative of 32 - 43 - 10*g**4 + g**4 wrt g?
-36*g**3
Let a(j) be the second derivative of -j**4/4 + j**2 + 3*j. Differentiate a(t) wrt t.
-6*t
Let d(v) be the third derivative of -v**5/4 - v**3/3 + 17*v**2. Differentiate d(n) with respect to n.
-30*n
Let j(p) = 2*p**2 + 3*p - 2. Let w be j(2). Suppose 3*v + 3 = w. What is the third derivative of 0*i**2 + 2*i**3 + 3*i**2 - 5*i**v wrt i?
-18
Find the third derivative of a**4 - 8*a**4 - 1 + 13*a**2 - 14*a**2 - 4*a**4 wrt a.
-264*a
Find the third derivative of -5*v**6 + 10*v**4 - 4*v**2 + 12*v**4 - 22*v**4 wrt v.
-600*v**3
Let v(i) be the second derivative of 1/5*i**5 + 0*i**2 - 1/6*i**3 + 0*i**4 + 4*i + 0. Find the second derivative of v(m) wrt m.
24*m
Let v(q) = -7*q - 1. Let u be v(-1). Suppose 0 = -0*h + 2*h - u. What is the second derivative of -h*c + 2*c + 2*c**2 + 2*c wrt c?
4
Let c(p) = 2*p**2 - 6*p + 9. Let t(f) = -6*f**2 + 17*f - 27. Let j(a) = 17*c(a) + 6*t(a). What is the first derivative of j(g) wrt g?
-4*g
Let l(r) = -r**2 - 5*r + 3. Let q be l(-5). Suppose q*g - g = -3*m + 7, g + m = 3. What is the third derivative of -2*f**4 + f**g - f**4 + f**4 wrt f?
-48*f
Let l(p) be the second derivative of -p**7/210 - p**5/40 + p**3 + 6*p. Let q(d) be the second derivative of l(d). Find the second derivative of q(f) wrt f.
-24*f
Let v(f) = 4*f**2. Let a be v(-1). Suppose 0 = 3*m - a*p - 0 - 25, 5*p = -4*m - 8. Differentiate 2 + s**2 - 5*s**2 + m*s**2 with respect to s.
-2*s
Let u(p) be the first derivative of p**7/105 - p**5/20 + 3*p**2/2 + 1. Let s(w) be the second derivative of u(w). Find the third derivative of s(f) wrt f.
48*f
Let k = -353/6 + 59. Let m(y) be the third derivative of 0*y + k*y**3 - y**2 + 0 - 1/24*y**4. What is the derivative of m(t) wrt t?
-1
Let d = 48 - 46. Let v(a) be the first derivative of 1/3*a**3 - 2 + 0*a - d*a**2. Find the second derivative of v(o) wrt o.
2
Let a(i) be the second derivative of -1/6*i**4 - 1/28*i**8 - 2*i + 0 + 0*i**2 + 0*i**6 + 0*i**5 + 0*i**7 + 0*i**3. What is the third derivative of a(g) wrt g?
-240*g**3
Suppose 5*c - 7 = 13. What is the second derivative of 3*z + 3 + 3*z**4 - 3 - z**c wrt z?
24*z**2
Find the second derivative of 2 - 2 - 25*o + 1274*o**4 - 1265*o**4 wrt o.
108*o**2
Let g(n) = -31*n**3 - 6*n - 53. Let t(d) = -61*d**3 - 13*d - 107. Let m(z) = -13*g(z) + 6*t(z). What is the first derivative of m(b) wrt b?
111*b**2
Let b(v) = 4*v**4 - 5*v**2 + 6*v - 5. Let j(d) = 6*d**4 - 8*d**2 + 9*d - 8. Let g(p) = 8*b(p) - 5*j(p). Find the second derivative of g(l) wrt l.
24*l**2
Let j(a) be the first derivative of 22*a**7/7 - 2*a**3/3 - 13. Find the third derivative of j(p) wrt p.
2640*p**3
Let p(z) be the first derivative of 0*z**4 + 0*z + 0*z**3 - 3/2*z**2 + 2/5*z**5 - 2. What is the second derivative of p(u) wrt u?
24*u**2
Let p(b) be the second derivative of b**5/20 - 2*b**2 + 18*b. What is the first derivative of p(h) wrt h?
3*h**2
Suppose -2*w = 2*w. Differentiate w + 0 - v**4 + 2 wrt v.
-4*v**3
Find the second derivative of k**3 - 98*k + 101*k + 2*k**3 wrt k.
18*k
Differentiate -7*y**3 + 10 + 15*y**3 - 20 with respect to y.
24*y**2
Let q = -2 - -3. Find the first derivative of -q + n**3 - 1 - 3*n**3 wrt n.
-6*n**2
Let g(x) = -x + 13. Let y be g(4). Find the first derivative of -y*m + 10 + 2*m - 3 wrt m.
-7
Let x(l) = 5*l**6 + 3*l**4 - 15*l**2 - 3*l. Let r(u) = -u**6 + u**4 - u**2 - u. Let v(f) = 3*r(f) - x(f). What is the third derivative of v(z) wrt z?
-960*z**3
Let s(r) = -r**3 + r**2 - r + 4. Let c be s(0). What is the derivative of -1 - 1 + 24*i**4 - 27*i**c wrt i?
-12*i**3
Let s(m) = -6*m + 6. Let z(h) = -h**3 + h. Let k(f) = s(f) + 6*z(f). What is the first derivative of k(r) wrt r?
-18*r**2
Let w(z) be the third derivative of -z**2 + 2/3*z**3 + 0*z + 0 + 0*z**4 - 1/30*z**5. Differentiate w(u) with respect to u.
-4*u
