 c = 1 - -8. Let a be (-3)/(2 - c/3). Find the second derivative of 2*r**5 - r - r**a + r**3 wrt r.
40*r**3
Let z(k) be the third derivative of -5*k**8/112 + 3*k**4/8 - 31*k**2. Find the second derivative of z(r) wrt r.
-300*r**3
Let x(a) be the third derivative of 0*a**6 + 1/35*a**7 + 0*a**3 + 0*a + 0*a**4 - 5*a**2 + 0 - 1/10*a**5. What is the third derivative of x(o) wrt o?
144*o
Find the third derivative of 4*m**3 + 3*m**2 - 4*m**4 - 2*m**3 - 2*m**3 wrt m.
-96*m
Let o(n) = -28*n**5 - 9*n**4 - 9*n**3 - 9*n. Let k(g) = 14*g**5 + 4*g**4 + 4*g**3 + 5*g. Let u(v) = 9*k(v) + 4*o(v). Find the second derivative of u(i) wrt i.
280*i**3
Let y = -3 - -3. Suppose y = -i - 0*i + 4. What is the first derivative of -i*b**3 + b**3 - 1 + 2*b**3 wrt b?
-3*b**2
Let x(a) = -a**2. Let h be x(0). Find the first derivative of h*d + 3 + 4*d - d - 9 wrt d.
3
Let m(i) = 12*i**5 - 4*i**4 + 2*i**2 - 4. Let l(r) = -12*r**5 + 5*r**4 - r**2 + 5. Let g(f) = -4*l(f) - 5*m(f). Find the third derivative of g(z) wrt z.
-720*z**2
Let j(v) be the second derivative of 2*v + 0*v**5 + 0 - 1/4*v**4 + 1/14*v**7 + 0*v**2 + 0*v**3 + 0*v**6. Find the third derivative of j(l) wrt l.
180*l**2
Let b = 4 + -1. Find the third derivative of 0 + 0 + 6*x**2 + 7*x**b - 5*x**3 wrt x.
12
Suppose -4*m + m + 21 = 0. Let i(k) = -k**3 + 6*k**2 + 8*k - 4. Let h be i(m). What is the third derivative of -6*r**4 + 7*r**4 + r**2 + 5*r**4 - h*r**4 wrt r?
72*r
Suppose -3 - 1 = -f. Let m(x) be the third derivative of -5/6*x**3 - 1/12*x**f - 2*x**2 + 0*x + 0. What is the first derivative of m(w) wrt w?
-2
What is the derivative of 3 - 16 + 4*i + 11*i wrt i?
15
Let o = -4 - -6. Let z(p) = -3 + p**2 - 2*p**o + 5*p**2. Let n(u) = -u**2 + 1. Let w(t) = -22*n(t) - 6*z(t). What is the first derivative of w(k) wrt k?
-4*k
Let a(n) be the first derivative of -1/2*n**4 + 0*n + 2/3*n**3 + 2 + 0*n**2. Find the third derivative of a(m) wrt m.
-12
Let b(k) be the second derivative of -k**4/12 + k**3/6 + 6*k. Find the second derivative of b(h) wrt h.
-2
Find the second derivative of -29*v**4 - 28*v + 21*v - 20*v wrt v.
-348*v**2
Let b(d) be the first derivative of -17*d**4/4 - 11*d**2/2 - 2. Find the second derivative of b(p) wrt p.
-102*p
What is the second derivative of 2*i**5 - 3*i**5 + 5*i + 4*i wrt i?
-20*i**3
Let q(c) = 6*c**3 - 3*c**2 - 9*c. Let p(z) = 7*z**3 - 4*z**2 - 10*z. Let k(d) = 3*p(d) - 4*q(d). What is the second derivative of k(u) wrt u?
-18*u
Let x(o) be the first derivative of 0*o + 0*o**3 + 3*o**2 + 0*o**4 - 3 + 6/5*o**5. What is the second derivative of x(f) wrt f?
72*f**2
Let s(l) = -11*l**4 - 5*l**3 - 5*l**2 + 8. Let p(u) = 11*u**4 + 6*u**3 + 6*u**2 - 9. Let h(c) = -5*p(c) - 6*s(c). What is the derivative of h(d) wrt d?
44*d**3
Suppose 0*r = -2*r. Let m(v) be the second derivative of 1/30*v**6 + v**2 + v + 0*v**3 + 0 + 0*v**5 + r*v**4. What is the first derivative of m(y) wrt y?
4*y**3
Let v(w) be the third derivative of w**6/24 - 5*w**3/3 - w**2. Differentiate v(s) with respect to s.
15*s**2
What is the third derivative of 17*p**2 - 43*p**5 + 0*p**2 + 43*p**2 wrt p?
-2580*p**2
What is the derivative of -6 + c - 10*c**3 - 2*c + c wrt c?
-30*c**2
Let c(a) = -26*a**5 + 7*a**4 + 17*a. Let h(w) = 13*w**5 - 4*w**4 - 9*w. Let l(t) = 4*c(t) + 7*h(t). What is the second derivative of l(j) wrt j?
-260*j**3
Let k(c) = c**2 - 4*c - 2. Let l be k(5). Find the third derivative of -2*i**3 + i**2 - 2*i**2 + 3*i**l + 3*i**2 wrt i.
6
Let t(m) = 10*m**3 + 8*m**2 + 5. Let i(u) = -9*u**3 - 7*u**2 - 4. Let o(p) = -5*i(p) - 4*t(p). What is the third derivative of o(h) wrt h?
30
Let r = 57 - 53. Let g(s) be the second derivative of -1/15*s**6 + 0*s**3 - s + 1/2*s**2 + 0*s**r + 0 + 0*s**5. Find the first derivative of g(z) wrt z.
-8*z**3
Let c = 16 + -10. Suppose -2*l = -4*l + c. Find the first derivative of -5 + 3*p**3 + 0*p**l + 6 wrt p.
9*p**2
Let d(s) be the first derivative of -10*s**7/7 + 11*s**3/3 - 11. What is the third derivative of d(k) wrt k?
-1200*k**3
Let p(v) be the third derivative of 41*v**7/210 + v**4/8 + v**3 - 3*v**2. Find the second derivative of p(x) wrt x.
492*x**2
Let k(v) be the third derivative of -4*v**7/35 + 25*v**3/6 + 40*v**2. Differentiate k(b) wrt b.
-96*b**3
Let r(t) = t - 8. Let a(v) = v - 5*v + 23 + v. Let k(z) = 4*a(z) + 11*r(z). What is the derivative of k(c) wrt c?
-1
Suppose -3 = -3*t + 3. Find the third derivative of 4*p**4 - 2*p**2 - 2*p**2 + t*p**2 - 6*p**4 wrt p.
-48*p
Let q(a) = a**4 - 4*a**3 + a. Let b(v) be the first derivative of -5*v**4/4 + v**2 + 3. Let r(y) = 4*b(y) - 5*q(y). What is the second derivative of r(f) wrt f?
-60*f**2
Let w(f) be the first derivative of f**7/840 + f**4/12 + 2*f**3/3 + 1. Let x(g) be the third derivative of w(g). What is the derivative of x(m) wrt m?
3*m**2
Suppose 0 = 5*x - 2*x - 255. What is the derivative of x*a**2 + 3*a**4 - 85*a**2 + 4 wrt a?
12*a**3
Suppose -5*i + 3*v + 16 + 26 = 0, 2*i + v - 8 = 0. Find the first derivative of -7*g + 1 + 9*g - i*g wrt g.
-4
Let s(u) = 1. Let f(n) = -n - 1. Let v(a) = f(a) + s(a). Let h(q) = -4*q + 1. Suppose -5*c = -2*c + 3. Let z(p) = c*h(p) + 6*v(p). Differentiate z(t) wrt t.
-2
Let a(g) = 19*g**2 + 28. Let c(s) = -19*s**2 - 27. Let z(q) = -6*a(q) - 5*c(q). What is the derivative of z(i) wrt i?
-38*i
Suppose 9*l = 10*l - 3. Differentiate 2*p - l*p - 5*p - 3 with respect to p.
-6
Differentiate 0*s**2 - 2 + 0*s**2 - 5*s**2 with respect to s.
-10*s
Find the first derivative of -2 + 12*z**2 - 12*z**2 + 12*z**4 + 0 wrt z.
48*z**3
Suppose 8 = -2*c + 6*c. What is the third derivative of -2*k + 4*k + 7*k**c + 3*k**3 - 2*k wrt k?
18
Let p(r) = -6*r**4 + 12*r**3 + 12*r**2 + 12*r - 18. Let k(x) = x**3 + x**2 + x - 1. Let h(a) = -12*k(a) + p(a). Find the first derivative of h(w) wrt w.
-24*w**3
Let s(x) be the third derivative of -23*x**7/210 + 17*x**4/12 + 30*x**2. Find the second derivative of s(h) wrt h.
-276*h**2
Find the third derivative of v**6 - 20*v**6 + 58*v**6 + 16*v**6 - 9*v**2 - 2*v wrt v.
6600*v**3
Let n(b) = -2*b - 6. Let y = 11 - 15. Let q be n(y). Differentiate 1 + f - f - f**q wrt f.
-2*f
Suppose 12 = 5*k - k. What is the third derivative of 2*t**2 + 11*t**3 + 3*t**3 - 3*t**2 - 13*t**k wrt t?
6
Let w(v) be the first derivative of -7*v**5/5 - 17*v**2 - 35. Find the second derivative of w(h) wrt h.
-84*h**2
Let k(y) = y**2 - 3*y + 3. Let p be k(4). Let h = p - 3. What is the second derivative of -3*b + 5*b + h*b**2 + 0*b wrt b?
8
Differentiate -9 - 8*g**3 - 4*g**3 + 13*g**3 with respect to g.
3*g**2
Suppose -1 = -2*t - 3. Let m be -2 + t + (-5)/(-1). What is the second derivative of d - 2*d**4 - d**2 + d**m wrt d?
-24*d**2
Let u(k) be the first derivative of -4*k**5/5 + 3*k**2/2 - 3. Find the second derivative of u(z) wrt z.
-48*z**2
Let j be (2/3)/((-16)/120). Let a(u) = 33*u**2 - 15*u. Let g(q) = 13*q**2 - 6*q. Let h(d) = j*a(d) + 12*g(d). Find the second derivative of h(s) wrt s.
-18
Let t(j) = -j**2 + 7 + 9*j - 15*j + 0*j**2 + j**3 - 3*j**2. Let d be t(5). Find the second derivative of 2*b**2 + b + b**d + 3*b - 2*b wrt b.
6
What is the derivative of 51 + 0*w**4 + 3*w**4 - 36 + 6*w**4 wrt w?
36*w**3
Let v(t) be the second derivative of -1/10*t**6 - 1/3*t**4 + 0*t**2 + 3*t + 0*t**5 + 0*t**3 + 0. Find the third derivative of v(k) wrt k.
-72*k
Let j(n) = -n**4 + n**3 + n + 1. Let h(b) = 12*b - 4*b - 5*b**3 + 5 + 10*b**3 - 8*b**4. Let a(l) = -h(l) + 5*j(l). Find the second derivative of a(r) wrt r.
36*r**2
Let o(i) be the second derivative of 0 + 0*i**6 + 0*i**4 + 0*i**5 + 4*i - 7/6*i**3 - 5/42*i**7 + 0*i**2. Find the second derivative of o(c) wrt c.
-100*c**3
Let g(l) = 3*l**2 - 3. Let q = 8 + -11. Let b(d) = d**3 - 5*d**2 + 6. Let c(t) = q*b(t) - 5*g(t). What is the derivative of c(v) wrt v?
-9*v**2
Suppose 2*b + 4*c - 6 = 0, 8 + 4 = 4*b - 4*c. What is the second derivative of 2*g - 1 + b*g**4 + 1 wrt g?
36*g**2
Let s(f) = -f + 1. Let m be s(-3). Find the third derivative of 0*h**4 + 4*h**2 - 4*h**4 + h**m wrt h.
-72*h
Let d(y) be the first derivative of 29*y**3/3 - 22*y + 35. What is the first derivative of d(o) wrt o?
58*o
Differentiate 80 + 61 + 7*l - 123 with respect to l.
7
Find the second derivative of 10*o**2 - 14*o**2 + 5*o**2 - 3*o - 4*o wrt o.
2
Let o(p) = -p - 1. Let u(r) = 2*r + 2. Let 