 i(p) = p**6 + 2*p**5 + 2*p**4 - 19*p**2 - 2. Let u(b) = i(b) + 2*l(b). Find the third derivative of u(o) wrt o.
360*o**3
What is the second derivative of y**2 + 5*y + 8*y**2 - 30*y + 12*y wrt y?
18
Let w(r) = r**4 + 5*r**3 + 5*r**2 - 5*r - 13. Let y(z) = -3*z**3 - 3*z**2 + 3*z + 7. Let p(v) = 3*w(v) + 5*y(v). Find the first derivative of p(g) wrt g.
12*g**3
Let v(f) be the second derivative of -7*f + 7/2*f**2 + 0*f**4 + 0*f**3 - 1/5*f**5 + 0. Find the first derivative of v(b) wrt b.
-12*b**2
What is the first derivative of 42*j**3 + 11 - 75*j**3 + 2 wrt j?
-99*j**2
Find the first derivative of 309*f + 311*f - 614*f - 32 wrt f.
6
Let n(g) be the first derivative of g**6/120 + g**4/12 - 2*g**2 - 5. Let w(y) be the second derivative of n(y). What is the second derivative of w(s) wrt s?
6*s
Let u(a) = 2*a**3 + a**2 + 17*a - 1. Let m(t) = t**4 + 3*t**3 + 2*t**2 + 16*t - 1. Let c(b) = 2*m(b) - 3*u(b). Find the second derivative of c(f) wrt f.
24*f**2 + 2
What is the second derivative of -14*d + 11*d**5 + 13*d**4 - 13*d**4 wrt d?
220*d**3
Let j(d) be the second derivative of 41*d**3/6 - 26*d**2 - 39*d. What is the first derivative of j(g) wrt g?
41
Let l(u) be the third derivative of -u**7/840 - u**4/6 - u**3/3 - u**2. Let q(f) be the first derivative of l(f). What is the first derivative of q(t) wrt t?
-3*t**2
Let p(g) be the first derivative of -14*g**6/3 - 13*g**2/2 - 19. What is the second derivative of p(x) wrt x?
-560*x**3
Find the third derivative of 26 - 12*v**3 - 17*v**2 - 55 + 29 wrt v.
-72
Let h(q) be the third derivative of 2*q**7/105 - q**5/60 - 6*q**2. Find the third derivative of h(n) wrt n.
96*n
Let l(s) = -s. Let p = -6 - -4. Let y be l(p). What is the second derivative of 3*q - q**5 + q - y*q wrt q?
-20*q**3
What is the second derivative of 2*u - 21*u**3 - 5*u - 8*u + 2*u wrt u?
-126*u
Let f(y) be the third derivative of -y**4/2 - 7*y**3/2 + 2*y**2. What is the first derivative of f(q) wrt q?
-12
Let d = 8 + -6. Suppose v - 16 = -4*t, 0*v - d*t = v - 8. Differentiate v - 4*m**4 - 1 + 5*m**4 wrt m.
4*m**3
Let h = 49 - 29. What is the derivative of h*w - 18*w + 2 + 0 wrt w?
2
Differentiate -2 + 66*k**4 - 73*k**4 - 1 with respect to k.
-28*k**3
Let l = 8 + -2. Find the third derivative of 2*a**2 + 4*a**6 + 6*a**l - 5*a**6 wrt a.
600*a**3
Let u(d) = d**2 + 2*d + 1. Let x(a) = 41*a**3 - 4*a**2 - 8*a - 39. Let i(g) = 4*u(g) + x(g). Differentiate i(r) with respect to r.
123*r**2
Let u(q) be the first derivative of q**6/60 + q**4/24 + 7*q**2/2 + 1. Let r(s) be the second derivative of u(s). What is the second derivative of r(g) wrt g?
12*g
Let u(s) = 15*s**2 - 2*s - 15. Let x(b) = 60*b**2 - 9*b - 59. Let w(t) = -9*u(t) + 2*x(t). Differentiate w(f) wrt f.
-30*f
Differentiate 6*t**3 + 8*t**3 - 5*t**3 + 18 - 3*t**2 with respect to t.
27*t**2 - 6*t
Let u(g) be the third derivative of -g**9/21 + 23*g**5/60 + 27*g**2. What is the third derivative of u(y) wrt y?
-2880*y**3
What is the derivative of -11*s**2 + 22*s**2 + 3*s**3 - 11*s**2 - 1 wrt s?
9*s**2
Let a(v) be the first derivative of -v + 3 + 0*v**2 - 3/2*v**4 + 0*v**3. Find the first derivative of a(d) wrt d.
-18*d**2
Let t(w) be the first derivative of 5*w**4/2 - 16*w + 13. Differentiate t(d) with respect to d.
30*d**2
Let x(d) be the first derivative of 5*d**6/6 + 5*d**2/2 - 10. What is the second derivative of x(h) wrt h?
100*h**3
Let s be (-2)/(-5) + (-6)/(-10). Suppose 7*o - 16 = 3*o. Find the first derivative of -s + 3*a - 6*a + o wrt a.
-3
Let m(d) = -10*d**3 - 7*d + 81 - 81 + 9*d**2. Let z(w) = 9*w**3 - 8*w**2 + 6*w. Let u(f) = -6*m(f) - 7*z(f). Find the third derivative of u(g) wrt g.
-18
Let l = 2 + 3. Find the third derivative of -5*r**5 - 9*r**2 + 0*r**l + 7*r**6 + 5*r**5 wrt r.
840*r**3
Let l(p) be the third derivative of 7*p**6/120 - p**5/12 - p**2. Find the third derivative of l(f) wrt f.
42
Let w(c) = -8*c**4 - 3*c**2 + 4*c + 4. Let m(t) = t**2 + t + 1. Let k(u) = 4*m(u) - w(u). What is the third derivative of k(i) wrt i?
192*i
Differentiate -14*o**4 - 5 + 4 + 2 - 5 wrt o.
-56*o**3
Let n be 2/3*(-48)/(-8). Find the second derivative of 0*a + a + 5*a**5 + 0*a + n*a wrt a.
100*a**3
Let a(h) = 34*h**4 - 33*h**2 - 7. Let d(x) = 11*x**4 - 11*x**2 - 2. Let q(k) = 2*a(k) - 7*d(k). Find the third derivative of q(z) wrt z.
-216*z
Suppose 1 = -o - 0. Let v(m) = -m**3 - 4*m**2 - 4*m - 2. Let z(y) = y**2 + y + 1. Let q(d) = o*v(d) - 4*z(d). Differentiate q(h) with respect to h.
3*h**2
Suppose -2*o + 2 + 2 = 0. Let y be -3 + 1 + 2 + o. What is the second derivative of 0*u**2 + 2*u**4 + 0*u**y + 2*u + 0*u wrt u?
24*u**2
Let l be 10/180*(-3)/(-4). Let m(r) be the third derivative of 0 + 0*r + 1/60*r**6 + 0*r**3 + 0*r**5 + r**2 + l*r**4. Find the second derivative of m(h) wrt h.
12*h
Let m(i) = i + 4. Let u(g) = 0 - 2 + 0. Let k(y) = 5. Let r(c) = 4*k(c) + 9*u(c). Let a(x) = 2*m(x) - 5*r(x). What is the first derivative of a(d) wrt d?
2
What is the third derivative of -2*b**2 + 3*b**6 + 0*b**6 - 8*b**6 - 5*b**2 wrt b?
-600*b**3
Let g(i) be the first derivative of 10*i**6/3 + 21*i**2/2 - 2*i + 40. What is the second derivative of g(h) wrt h?
400*h**3
Let o(r) be the third derivative of 2*r**5/15 - r**4/4 + 6*r**2. What is the second derivative of o(y) wrt y?
16
Find the third derivative of 8*u - 3*u**3 - u - 3*u**2 - 7*u wrt u.
-18
Let t(b) be the second derivative of -b**10/1680 + b**6/90 + b**3/6 + b. Let o(a) be the second derivative of t(a). What is the third derivative of o(k) wrt k?
-360*k**3
Let r = -3 - -2. Let w be (1 + 0)*(-1 - r). Find the first derivative of -s**3 + 2 - s**3 + w wrt s.
-6*s**2
Let y(b) = -16*b**5 - 5*b**3 - 5*b**2 + 11*b. Let q(r) = 17*r**5 + 6*r**3 + 6*r**2 - 10*r. Let h(a) = 5*q(a) + 6*y(a). Find the second derivative of h(k) wrt k.
-220*k**3
Let o = -4 - -7. Suppose 1 = -o*f + 7. Find the second derivative of -2*y + 2 - 2 + f*y**4 wrt y.
24*y**2
What is the second derivative of -14*b**3 + 26*b - 919*b**2 + 919*b**2 wrt b?
-84*b
Let s be 70/30 + (-4)/(-6). Let c(n) be the second derivative of -1/12*n**4 + 0 + 1/20*n**5 + n + 0*n**s + 0*n**2. Find the third derivative of c(l) wrt l.
6
Let l(k) be the third derivative of -k**8/3360 - k**5/120 + k**4/8 - 2*k**2. Let z(p) be the second derivative of l(p). Differentiate z(q) with respect to q.
-6*q**2
Let m(y) be the first derivative of 4*y**7/7 - 3*y**4/2 - 40*y**3/3 + y**2 + 10. What is the third derivative of m(f) wrt f?
480*f**3 - 36
Let b(z) = -9*z**3 + 6*z - 8. Let d(x) = x**3 - x + 1. Let r(g) = -g + 4*g - 2*g - 3. Let o be r(-3). Let a(v) = o*d(v) - b(v). Differentiate a(m) wrt m.
9*m**2
Let z be -1 - (-1 + -6 - -1). Find the third derivative of 5*i**2 - z*i**2 + 3*i**2 - 2*i**2 - i**4 wrt i.
-24*i
Let m be -3 + 0 + (1 - -1). Let x(y) = 4*y**3 + 2*y**2 - 3*y. Let r(q) = q**3 + q**2 - q. Let p(i) = m*x(i) + 2*r(i). Find the second derivative of p(d) wrt d.
-12*d
Let r(l) be the third derivative of -l**6/24 - 7*l**3/6 - 5*l**2. Differentiate r(w) wrt w.
-15*w**2
Let a(w) = -36*w**2 + 66*w + 14. Let i(y) = 7*y**2 - 13*y - 3. Let m(u) = 3*a(u) + 14*i(u). What is the second derivative of m(z) wrt z?
-20
Let v(p) be the third derivative of p**6/6 - p**4/2 - 22*p**2. What is the second derivative of v(g) wrt g?
120*g
Let w(l) be the second derivative of -l**8/560 + l**6/120 - l**3 - 6*l. Let s(d) be the second derivative of w(d). What is the third derivative of s(n) wrt n?
-72*n
What is the second derivative of 8*q**3 - 12*q**3 - 8*q**3 + 4*q - 21*q wrt q?
-72*q
Find the second derivative of 3*v**2 + 4*v + 7*v**2 - v wrt v.
20
Let u = 19 - 15. Find the second derivative of -6*c - 2*c**u + 7*c + 7*c wrt c.
-24*c**2
Let l(c) = 53*c**3 - 5*c + 31. Let u(a) = 132*a**3 - 12*a + 78. Let f(y) = 12*l(y) - 5*u(y). What is the first derivative of f(r) wrt r?
-72*r**2
Suppose -4*v - 8 = -4*u, -2*v + 0*v - 8 = -3*u. Suppose -y - y + 14 = -v*x, 0 = 4*y - 5*x - 32. Find the first derivative of -y + 1 + 3 - 2*z**3 wrt z.
-6*z**2
Let h(d) be the first derivative of -37*d**7/7 + 4*d**3/3 + 37. Find the third derivative of h(n) wrt n.
-4440*n**3
Let r(t) be the second derivative of -t**6/6 + t**3/2 + 3*t. What is the second derivative of r(l) wrt l?
-60*l**2
Let l(t) be the first derivative of -t**6/360 + t**5/30 - t**3 - 4. Le