e of -4*w**2 + 0 + 5/12*w**4 - 2*w + 0*w**3. Differentiate u(c) wrt c.
10*c
Let a(u) be the third derivative of -u**7/30 + 7*u**3/6 + 5*u**2. Differentiate a(m) wrt m.
-28*m**3
Let m(r) be the first derivative of -1 + 3/2*r**2 + 0*r**3 + 1/6*r**4 + r. Let y(t) be the first derivative of m(t). Find the first derivative of y(o) wrt o.
4*o
Suppose 0 = -m + 7 - 3. Let f(h) = 6*h**2 - 4*h + 4. Let k(y) = -6*y**2 + 5*y - 4. Let u(b) = m*k(b) + 5*f(b). What is the first derivative of u(x) wrt x?
12*x
Let r(b) = -10*b**4 - 5*b**3 + 15*b**2. Let t(c) = -5*c**4 - 2*c**3 + 7*c**2. Let h(m) = 2*r(m) - 5*t(m). Find the third derivative of h(f) wrt f.
120*f
Let m(b) be the second derivative of -b**7/840 - 7*b**5/120 + 7*b**4/12 + b. Let q(k) be the third derivative of m(k). Find the first derivative of q(w) wrt w.
-6*w
Let n be 69/21 - (-2)/(-7). What is the third derivative of 0*k**2 + n*k**5 + 5*k**2 - 4*k**2 wrt k?
180*k**2
Let y(m) be the third derivative of -m**8/56 - m**5/15 - 3*m**2. Find the third derivative of y(p) wrt p.
-360*p**2
Let k(h) be the third derivative of 1/12*h**4 + 0*h**5 + 0*h**3 + 0*h - 2*h**2 - 1/30*h**6 + 0. What is the second derivative of k(w) wrt w?
-24*w
Let z(o) be the first derivative of -1 + 0*o**4 + 0*o**2 + 0*o - 1/6*o**6 + 1/3*o**3 + 0*o**5. Find the third derivative of z(y) wrt y.
-60*y**2
Let f(w) = -11*w**2 + 7*w + 1. Let z(q) = -5*q**2 + 3*q + 1. Let c(b) = -3*f(b) + 7*z(b). What is the derivative of c(u) wrt u?
-4*u
Let a(n) be the first derivative of 1 + 18*n**3 + 4*n**4 - 18*n**3 + 2*n**2 - 5*n**4. What is the second derivative of a(c) wrt c?
-24*c
Let g(o) = -11*o**4 + 5*o - 29. Let c(q) = 16*q**4 - 8*q + 44. Let i(x) = 5*c(x) + 8*g(x). Find the first derivative of i(a) wrt a.
-32*a**3
Let z(i) be the first derivative of 2*i**7/7 - 26*i**3/3 - 2. Find the third derivative of z(c) wrt c.
240*c**3
Let i(l) be the first derivative of l**6/12 - 5*l**4/24 - l**2 + 2. Let a(n) be the second derivative of i(n). What is the second derivative of a(h) wrt h?
60*h
Suppose 0 = a - 5, 0 = -2*n - 0*a - 5*a + 13. Let q(y) = y**3 + 5*y**2 - 6*y + 3. Let c be q(n). What is the second derivative of -2*p + 2*p - 2*p - p**c wrt p?
-6*p
Find the second derivative of -3*d - 10*d + 5*d**2 + 7*d**2 + 0*d wrt d.
24
Let c = 8 + -6. Let w(i) = 3*i. Let j be w(1). Find the first derivative of -2 - s**3 + c*s**j + 1 wrt s.
3*s**2
Find the third derivative of -12*i**6 + 2*i**2 + 29*i**5 - 29*i**5 wrt i.
-1440*i**3
Differentiate -9 + 0*v - 42*v**3 + 0*v + 40*v**3 wrt v.
-6*v**2
Let s(q) be the third derivative of -q**6/120 + q**4/24 + q**2. Let j(m) = -m**3. Let t(b) = 5*j(b) - 3*s(b). What is the second derivative of t(w) wrt w?
-12*w
Let s(g) be the first derivative of 3*g**5/20 - g**2 + 2*g + 4. Let i(d) be the first derivative of s(d). What is the first derivative of i(l) wrt l?
9*l**2
Let v = -15 - -19. Let h(s) be the third derivative of 0*s - 1/20*s**5 + 0 + 1/2*s**3 - 4*s**2 + 0*s**v. Differentiate h(a) wrt a.
-6*a
Let n(u) = u**2 - 3*u - 7. Let m be n(5). Find the second derivative of -s + 2*s - m*s**3 - 2*s wrt s.
-18*s
Let o(p) be the second derivative of 4*p**5/5 - 15*p**2/2 + p. Differentiate o(k) wrt k.
48*k**2
Let w(d) = d**3 + d**2 + d + 1. Let a = 5 + -7. Let j(v) = v**3 + 3*v**2 - 2*v - 2. Let z(k) = a*w(k) - j(k). Find the third derivative of z(u) wrt u.
-18
Let h(r) = -9*r**3 - 37*r**2 + 121*r - 5. Let k(p) = -4*p**3 - 18*p**2 + 61*p - 2. Let g(v) = 2*h(v) - 5*k(v). Find the second derivative of g(j) wrt j.
12*j + 32
Let v(g) = -g**2 + 7*g - 4. Let y be (-1)/6 + 111/18. Let z be v(y). What is the third derivative of -2*o**2 - 3*o**5 + z*o**5 + 4*o**2 - o**5 wrt o?
-120*o**2
Suppose -2*k = 2*k. Let t(s) be the first derivative of 1/4*s**4 + k*s + 2/3*s**3 + 0*s**2 - 2. Find the third derivative of t(l) wrt l.
6
Let i(o) be the second derivative of 1/14*o**7 + 1/3*o**4 + 0 + 0*o**3 - 4*o + 0*o**6 + 0*o**5 + 0*o**2. Find the third derivative of i(u) wrt u.
180*u**2
Let i(v) be the second derivative of v**8/28 - 13*v**5/20 - v**4/12 - v**2/2 - 2*v - 7. Find the third derivative of i(m) wrt m.
240*m**3 - 78
Let q(o) be the third derivative of -13*o**4/24 + 4*o**3 - 3*o**2. Find the first derivative of q(g) wrt g.
-13
Suppose -w + 2 = -3. Let c(d) = 11*d**2 - 10*d - 8. Let r(t) = 7*t**2 - 7*t - 5. Let z(p) = w*c(p) - 8*r(p). Find the second derivative of z(f) wrt f.
-2
Let j(w) be the third derivative of w**10/50400 - w**6/720 + w**5/60 - 3*w**2. Let x(q) be the third derivative of j(q). What is the derivative of x(z) wrt z?
12*z**3
Suppose -2*a = -4*y, a + 3*a + y = 9. What is the third derivative of -a*j**2 + 2 - 2 + 0*j**2 + 2*j**5 wrt j?
120*j**2
Let r(f) be the first derivative of 3*f**8/56 + f**4/4 + 2*f + 3. Let o(t) be the first derivative of r(t). Find the third derivative of o(p) wrt p.
360*p**3
Let k(x) = -2*x - 3. Let p be k(3). Let c = -6 - p. What is the third derivative of -2*w**3 + 2*w**3 - w**2 + 2*w**c wrt w?
12
Let b(s) be the second derivative of 1/12*s**4 + 5*s + 0*s**6 + 0 + 0*s**2 + 3/56*s**8 + 0*s**3 + 0*s**7 + 0*s**5. Find the third derivative of b(g) wrt g.
360*g**3
Let m(f) = 2*f**2 + 6*f - 12. Let q(y) = -2*y**2 - 7*y + 13. Let w(l) = -7*m(l) - 6*q(l). What is the first derivative of w(i) wrt i?
-4*i
Find the first derivative of 7*v**4 - 42 - 38 + 97 wrt v.
28*v**3
Let s(h) be the first derivative of -h**6/3 + h**4/4 - 53*h**3/3 + 31. Find the third derivative of s(i) wrt i.
-120*i**2 + 6
Let k(o) = o**2 - 11*o - 8. Let i be k(12). Differentiate -1 + 3*h**i - 10*h**2 + 10*h**2 + 4 wrt h.
12*h**3
Suppose 5*q = 4*g + 2, q = -3*q - 5*g + 18. What is the third derivative of -38*n**3 - q*n**2 + 39*n**3 - n**2 wrt n?
6
Let q(r) be the third derivative of -29*r**6/120 + 25*r**3/6 - 27*r**2. Differentiate q(p) wrt p.
-87*p**2
Let x(s) be the third derivative of -11*s**7/210 - 17*s**4/12 + 33*s**2. What is the second derivative of x(c) wrt c?
-132*c**2
What is the third derivative of -2*g**2 + 19*g**2 - 6*g**2 + 35*g**5 - 3*g**2 wrt g?
2100*g**2
Let t be (4/(-6))/(4/(-54)). What is the derivative of 4*r**4 - 3 + 6 - 1 - t*r**4 wrt r?
-20*r**3
Let h(p) be the second derivative of 5*p**7/6 + 19*p**4/12 - p**3/6 + 3*p - 7. Find the third derivative of h(r) wrt r.
2100*r**2
Let v(a) be the first derivative of a**3 + 3*a**2/2 + 15. Find the second derivative of v(g) wrt g.
6
Suppose 5 = -l, 5*l + 2 + 7 = -4*z. Suppose 0 = -z*q - q. What is the second derivative of -4*r + 3*r + q*r - r**2 + 3*r wrt r?
-2
Let h(d) = -8*d**3 + 9*d**2 - 9*d - 7. Let p(y) = 3*y**2 + 3 - 4*y**2 - 2 + 2*y - y + y**3. Let n(r) = 2*h(r) + 18*p(r). Differentiate n(j) with respect to j.
6*j**2
Suppose 7*v = 9*v - 14. Find the second derivative of b**4 - 5*b**4 + v*b + 5*b**4 + 0*b**4 wrt b.
12*b**2
Let n = 1 + 4. Let u(x) = 9*x**3 + 5*x**2 + 3*x. Let f(w) = 8*w**3 + 4*w**2 + 3*w. Let b(j) = n*f(j) - 4*u(j). What is the second derivative of b(p) wrt p?
24*p
Let a(c) = 2*c**2 + 2*c - 2. Let d be a(-2). Find the second derivative of 3*l**2 - 3*l**d + l**2 - 3*l wrt l.
2
Let d(f) = -f - 1. Let j be d(-7). Find the third derivative of -4*s**2 + 3*s**j - s**6 + 3*s**2 wrt s.
240*s**3
Let z be (-24)/(-14) - 6/(-21). What is the derivative of 0 + 1 - 4 - 3*j**z wrt j?
-6*j
Let m(z) be the first derivative of 35*z**4/4 + 5*z - 8. What is the derivative of m(f) wrt f?
105*f**2
Let b(v) be the first derivative of -3/4*v**4 + 3/2*v**2 + 0*v - 1 + 0*v**3. Find the second derivative of b(o) wrt o.
-18*o
Let b(r) be the third derivative of -5*r**2 - 2/15*r**5 + 0*r**3 + 0 + 1/12*r**4 + 0*r. Find the second derivative of b(t) wrt t.
-16
Let l(r) be the second derivative of -9*r + 0*r**4 + 7/20*r**5 + 0 + 0*r**3 - r**2. Differentiate l(s) wrt s.
21*s**2
Let y(x) be the second derivative of 0*x**4 + 1/2*x**3 + 0*x**5 + 0*x**2 + x + 0*x**6 - 1/21*x**7 + 0. What is the second derivative of y(o) wrt o?
-40*o**3
Let j(v) be the first derivative of -24*v**5/5 + 41*v + 24. Differentiate j(k) with respect to k.
-96*k**3
Let m(k) be the first derivative of -13*k**3/3 + 29*k**2/2 + 10. Find the second derivative of m(l) wrt l.
-26
Let y(w) = -8*w + 5. Let u(s) = -5*s + 2*s - s + 0*s + 2. Let i(q) = 14*u(q) - 6*y(q). Find the first derivative of i(c) wrt c.
-8
What 