ppose -3*v = -12 + x. Find the second derivative of -3*g**4 - v*g**4 + 3*g**4 + 2*g wrt g.
-36*g**2
Let r be (0*(-2)/(-6))/(-1). What is the first derivative of -2*k**3 + 0*k**3 + r + 1 + k**3 wrt k?
-3*k**2
Let f(j) be the third derivative of 0*j**4 + 1/20*j**5 + 0 + 1/6*j**3 + 2*j**2 + 0*j. What is the derivative of f(t) wrt t?
6*t
Let j(t) = 12*t**3 + 7*t**2 - 7*t + 14. Let a(s) = 11*s**3 + 6*s**2 - 6*s + 15. Let k(z) = 7*a(z) - 6*j(z). Differentiate k(p) wrt p.
15*p**2
Let b(l) = l - 3. Let w be b(8). Suppose -5 = -w*g + 5. Differentiate -2*z**g + 4 - 3*z + 2*z + z with respect to z.
-4*z
Suppose -7*z + 12 = -4*z. Suppose 0*d - 3*d = 0. What is the second derivative of r**4 + 3*r + r**4 + d*r**z wrt r?
24*r**2
Let h(a) be the first derivative of 3*a**5/5 + 41*a**2/2 - 4. What is the second derivative of h(k) wrt k?
36*k**2
Let r(o) be the third derivative of o**8/336 - o**4/12 + 7*o**2. What is the second derivative of r(p) wrt p?
20*p**3
Suppose 4 = 5*i - 4*i. Suppose -i*w - 5 + 25 = 0. What is the second derivative of 3*f + 2*f**4 + 2*f**4 - w*f wrt f?
48*f**2
Let q(g) be the first derivative of -19*g**5/5 + 16*g**3/3 + 3. Find the third derivative of q(d) wrt d.
-456*d
Find the third derivative of -4*u**2 + 12*u**2 + 31*u**4 - 34*u**2 + 8*u**2 wrt u.
744*u
Let z(h) be the first derivative of -21*h**4/4 + 3*h**3 + 37. Find the third derivative of z(p) wrt p.
-126
What is the second derivative of -2*n**3 - 6*n**2 + 2 - 10 + 1 + 14*n**2 - 3*n wrt n?
-12*n + 16
Let a(f) be the third derivative of f**5/60 - f**4/24 + 7*f**3/6 + 40*f**2. What is the second derivative of a(t) wrt t?
2
Let r = -2 + 4. What is the third derivative of 3*o**4 + 2*o**r - 4*o**2 + 6*o**2 wrt o?
72*o
Let f(b) be the first derivative of 1/6*b**3 - 1/12*b**4 - b**2 + 2 + 0*b. Let o(u) be the second derivative of f(u). Differentiate o(s) wrt s.
-2
Let b(j) = -j**2 - 6*j - 2. Let x be b(-5). Suppose -q + 1 = -1. Find the first derivative of 3*g**3 - 3*g**x + 4*g**3 - q + 3 wrt g.
12*g**2
Let k be 1*(-5 - -2)*-1. Find the third derivative of k*q**3 + 0*q**3 + 2*q**2 + 0*q**3 - 5*q**2 wrt q.
18
What is the third derivative of -64*t**3 - 15*t**2 - 7*t**2 + 67*t**3 wrt t?
18
Suppose 0 = -r + 3*j + 12 - 3, r - 13 = 5*j. Let o(x) be the first derivative of 4 + 0*x**2 - 3*x + 4/3*x**r. Differentiate o(s) with respect to s.
8*s
Let x(u) = u**3 + 20*u + 9. Let n(s) = -5*s - 2. Let v(f) = 9*n(f) + 2*x(f). What is the second derivative of v(b) wrt b?
12*b
Let m(h) = h**2 - 2*h - 3. Suppose 6*b - 2*b + 12 = 0. Let a(j) = 3*j + 4. Let c(w) = b*a(w) - 4*m(w). Find the second derivative of c(s) wrt s.
-8
Let m(q) be the second derivative of -q**6/20 - q**3/6 + q**2 - 5*q. Let z(w) be the first derivative of m(w). What is the derivative of z(r) wrt r?
-18*r**2
Let j(x) = -16 - x**2 - x**2 + 21 - 2*x**2 - 7*x**3. Let d(c) = -8*c**3 - 5*c**2 + 6. Let a(r) = -4*d(r) + 5*j(r). What is the derivative of a(w) wrt w?
-9*w**2
Suppose 4*r + 5*b = 27, 2*r + b - 21 = -4*b. Let n be 26/7 - 4/(-14). Differentiate r - 2 + 2 + n*g**4 wrt g.
16*g**3
Let u(t) be the second derivative of t**5/60 - 5*t**3/6 - 3*t**2 - 4*t. Let r(y) be the first derivative of u(y). Find the first derivative of r(m) wrt m.
2*m
Suppose -3*r + 4 + 5 = 0. Differentiate -3 + c**3 + 2*c**3 + 2 - c**r wrt c.
6*c**2
Let j(y) = -24*y - 1. Let g(m) = 23*m + 2. Let h(f) = 4*g(f) + 3*j(f). What is the derivative of h(n) wrt n?
20
Let s(y) be the first derivative of y**8/840 - y**5/60 + y**3 - 3. Let g(h) be the third derivative of s(h). What is the second derivative of g(d) wrt d?
24*d**2
Let v(f) = 11*f**4 - 5*f**2 + 10*f - 5. Let t(g) = -10*g**4 + 4*g**2 - 10*g + 4. Let h(s) = 5*t(s) + 4*v(s). Find the second derivative of h(y) wrt y.
-72*y**2
Suppose -2 = 5*m - 12. Let j(l) be the second derivative of 0 - l + 0*l**4 - 1/30*l**6 + 0*l**5 + 1/3*l**3 + 0*l**m. Find the second derivative of j(o) wrt o.
-12*o**2
Let o = 9 + -8. Let g(s) be the first derivative of -s**2 + o + 2/3*s**3 + 0*s. What is the second derivative of g(p) wrt p?
4
Let m(r) be the first derivative of 0*r**2 - 5*r + 0*r**4 + 0*r**3 + 3 - 6/5*r**5. What is the first derivative of m(u) wrt u?
-24*u**3
Let a(w) = -w**2 + 7*w + 2. Let c be a(7). Find the second derivative of j - j**4 + c*j**4 + 2*j wrt j.
12*j**2
Let p = -6 + 8. What is the third derivative of -3*s**4 - s**2 - s**2 + 2*s**2 - s**p wrt s?
-72*s
Suppose -w + 9 = 2*w. Suppose -w = -2*l + 1. What is the derivative of 0*v**4 - 5*v**4 + 3*v**4 - l wrt v?
-8*v**3
Let h(i) be the first derivative of -1 + 2/3*i**3 + 0*i**2 + 1/2*i**6 + 0*i**4 + 0*i + 0*i**5. What is the third derivative of h(f) wrt f?
180*f**2
Suppose -4*h + 1 + 7 = 0. What is the first derivative of 0*c**2 + 5 + 2*c**3 - 2*c**2 + 2*c**h wrt c?
6*c**2
Let y(c) be the third derivative of 0*c**6 + 0 - 1/10*c**5 + 5*c**2 + 0*c**4 + 0*c**3 + 0*c - 1/105*c**7. What is the third derivative of y(j) wrt j?
-48*j
Suppose 8*w - 15 = 3*w. Suppose w*u = 2*u - 2. Let x(h) = 2*h - 2. Let d(b) = -2*b + 1. Let s(v) = u*x(v) - 3*d(v). Differentiate s(r) with respect to r.
2
Find the first derivative of -22*b + 0 - 5 + 6 + 1 wrt b.
-22
Let p be 1/(-5) + 84/20. Let y(w) be the first derivative of 0*w**2 + w + 0*w**3 - 1/5*w**5 + 0*w**p + 1. Find the first derivative of y(r) wrt r.
-4*r**3
Suppose 2*n - 2*f - 10 = -n, -2*n - 4*f = 4. What is the third derivative of -2*a**n - 3*a**2 + 2*a**5 + 2*a**2 - a**2 wrt a?
120*a**2
Suppose k - 12 = -2*k. What is the second derivative of 2*v - 4*v**4 + 2*v**4 + k*v**4 wrt v?
24*v**2
Let g(l) = -60*l**4 - 9*l**3 - 83. Let f(p) = 15*p**4 + 2*p**3 + 21. Let w(s) = 9*f(s) + 2*g(s). Differentiate w(m) wrt m.
60*m**3
Let w(r) be the third derivative of -r**5/60 + r**4/24 + 11*r**2. What is the second derivative of w(m) wrt m?
-2
Suppose -2*c + 2 = -2. Let h = -15 + 19. What is the second derivative of 2*s + s**2 + h*s**2 - 6*s**c wrt s?
-2
Suppose -2*k - 1 + 11 = 4*r, 2*r - 5*k - 11 = 0. Let z = -14 + 17. What is the derivative of -r + 2 + 4*f**z - 1 + 4 wrt f?
12*f**2
What is the first derivative of -20 - 21*w + 12*w - 13*w - 8 wrt w?
-22
Find the first derivative of 42 - 174*t**3 - 2*t + 6*t + 209*t**3 - 2*t wrt t.
105*t**2 + 2
Let x(o) = -2*o - 15. Let n be x(-10). What is the second derivative of 0*z + z**5 + 16*z**5 - 10*z**n - 2*z wrt z?
140*z**3
Suppose 7 = 4*q - 5. Suppose q*b = 7*b - 20. Differentiate 3*t**4 - 1 - b*t**4 + 5*t**4 - 2*t**4 wrt t.
4*t**3
Find the third derivative of -3*h**2 - 9*h**4 + 18*h**4 + 10*h**4 wrt h.
456*h
Let s(d) be the first derivative of d**3/3 + 3*d**2 + 6*d + 3. Let n be s(-5). What is the first derivative of -2*o + o + 0*o + 3*o + n wrt o?
2
Let c(y) = -3*y. Let j be c(-1). Find the third derivative of -1 - h**2 + 1 + j*h**2 + 4*h**6 wrt h.
480*h**3
Let o(r) = -7*r - 5. Let g(f) be the second derivative of 7*f**3/3 + 9*f**2/2 + 6*f. Let k(q) = -6*g(q) - 11*o(q). What is the first derivative of k(p) wrt p?
-7
What is the third derivative of -5*t**5 - t**5 - 187*t**2 + 190*t**2 wrt t?
-360*t**2
Suppose -5*b = -0*b. Let r(s) = s**3 - 6*s**2 + 7*s - 8. Let y be r(5). What is the second derivative of -y*g - 4*g**5 + 4*g + b*g**5 wrt g?
-80*g**3
Let z(f) = -8*f + 1. Let d(y) be the third derivative of 17*y**4/24 - y**3/3 + 3*y**2. Let j(s) = 6*d(s) + 13*z(s). What is the first derivative of j(u) wrt u?
-2
Suppose 0 = -4*h + 20, -2*b + 20 = 4*h - 12. Suppose -6*k + b = -3*k. Find the second derivative of -3*v - 3*v**k + 9 - 9 wrt v.
-6
Let r be (-2)/(-4) + 2/(-12). Let y(z) be the second derivative of -1/10*z**5 + 0 - r*z**3 + 0*z**2 + z + 0*z**4. What is the second derivative of y(d) wrt d?
-12*d
Find the third derivative of 1164*v - 13*v**3 - 1164*v - 16*v**2 wrt v.
-78
Find the second derivative of 8*i**2 - i - 2*i + i + 0*i**2 wrt i.
16
Let j(p) = -25*p**3 + 3*p**2 + 9*p - 9. Let h(x) = -6*x**3 + x**2 + 2*x - 2. Let u(d) = -9*h(d) + 2*j(d). Find the third derivative of u(a) wrt a.
24
Let j(n) = -n**3 + 6*n**2 - 5*n + 2. Let q be j(5). Differentiate k - 3 - 3*k**q + 1 - k wrt k.
-6*k
Let z(s) be the second derivative of s**9/1008 + s**5/60 + 2*s**3/3 - 2*s. Let j(y) be the second derivative of z(y). Find the second derivative of j(b) wrt b.
60*b**3
Differentiate 28*r - 21 - 16*r + 7*r + 14*r