2. What is the third derivative of c(n) wrt n?
360*n
Let g(z) be the second derivative of z**5/4 + 2*z**4/3 - 15*z. What is the third derivative of g(o) wrt o?
30
Let u(f) be the third derivative of f**7/35 + 7*f**4/12 + 3*f**2. What is the second derivative of u(s) wrt s?
72*s**2
Suppose -12 = -u - 0. Find the third derivative of 5*s**2 - s**4 + 12*s**3 + 3*s**4 - u*s**3 wrt s.
48*s
Let i = -10 - -17. Let m be 2/i - 78/(-21). Differentiate n**4 - 4*n**2 + m*n**2 + 1 wrt n.
4*n**3
Let k be 567/14 + (-3)/(-2). Find the first derivative of 3 - 42*j**3 - j**4 + k*j**3 wrt j.
-4*j**3
Let o(t) be the third derivative of 0*t + 1/10*t**5 + 0*t**4 - 5*t**2 + 1/40*t**6 + 0*t**3 + 0. What is the third derivative of o(g) wrt g?
18
Suppose 2*g + 48 = -2*g. Let j be g/8*(-4)/6. What is the first derivative of -n**4 - 1 - j + 1 wrt n?
-4*n**3
Let t be -3*(2 - 3 - -2). Let f = 2 - t. What is the second derivative of -f*x - 2*x**3 + 2*x - x**3 wrt x?
-18*x
Find the first derivative of 5*m - 7*m + 0*m + 2 wrt m.
-2
Let b(z) = 5*z**2 + 1 + z - 5*z**2 - 2*z - z**2. Let t(w) = -6*w**2 - w + 3. Let v(o) = -3*b(o) + t(o). Find the second derivative of v(d) wrt d.
-6
Suppose -v + 18 = 2*v. Suppose -3*u = v, 2*u + 7 = 5*z - 7. What is the third derivative of 0*d**z - 1 - 4*d**2 - d**5 + 1 wrt d?
-60*d**2
Let v(a) be the first derivative of 18*a**5/5 + 4*a**3 - 4. Find the third derivative of v(k) wrt k.
432*k
Let m(c) be the third derivative of 0*c**5 - c**2 + 0 - 7/6*c**3 + 1/15*c**6 + 0*c + 0*c**4. Differentiate m(j) wrt j.
24*j**2
Let z(x) be the first derivative of x**2/2 + x - 1. Let o be z(1). What is the second derivative of 0*b**4 + o*b**4 - b + 2*b wrt b?
24*b**2
Let k = -4 + 4. Let g = k - -2. What is the third derivative of -2*s**g - s**3 + s**3 - s**4 wrt s?
-24*s
Let f(x) = 2*x + 5. Suppose 5*b - 16 = m + b, b - 1 = m. Let u(q) = -1. Let j(h) = m*u(h) + f(h). What is the first derivative of j(v) wrt v?
2
Find the second derivative of -15*r**5 - 12*r**5 - 2*r**5 + 7*r wrt r.
-580*r**3
Let r(c) be the third derivative of -8*c**7/105 - 19*c**4/24 + 11*c**2. What is the second derivative of r(h) wrt h?
-192*h**2
Let z(x) = 11*x + 11. Let r(v) = -10*v - 11. Let p(y) = -6*r(y) - 5*z(y). Differentiate p(s) wrt s.
5
Let h(q) be the first derivative of -q**8/840 - q**6/180 - q**3/3 - 3. Let d(x) be the third derivative of h(x). What is the third derivative of d(i) wrt i?
-48*i
Let b(p) = -p**2 - 5*p + 1. Let c be b(-5). Let d = c + 1. Find the third derivative of -o**5 - 2*o**5 + 2*o**5 - 2*o**d wrt o.
-60*o**2
Let l(j) be the second derivative of 33*j**5/20 + 4*j**3 - 17*j. Find the second derivative of l(r) wrt r.
198*r
Suppose 0 = -z + 10 + 6. Let n = -11 + z. What is the second derivative of r**5 - r**5 + 2*r - 4*r**n wrt r?
-80*r**3
Let y(h) be the first derivative of 19*h**4/2 + 4*h**3/3 + 18. What is the third derivative of y(t) wrt t?
228
Let p(o) = -8*o - 8. Let h(r) = 9*r + 6 - 3 + 9 - 3. Let q(n) = 4*h(n) + 5*p(n). Find the first derivative of q(j) wrt j.
-4
What is the derivative of -8*n**4 + 0 + 10 - 2*n**4 wrt n?
-40*n**3
Let l = 5 + -10. Let t(q) = -q**3 - 4*q**2 + 3*q - 5. Let o be t(l). Find the third derivative of 2*x**5 - 2*x**2 - 2*x**5 + 2*x**o wrt x.
120*x**2
Let p(n) = -2*n**3 - n**2. Let y(l) = 17*l**3 - 34*l**2. Let o(d) = -5*p(d) + y(d). Find the third derivative of o(s) wrt s.
162
Suppose 2*p + a = 9, 0*p - 24 = -2*p - 4*a. Let k(n) = -n**3 - 8*n**2 - 6*n + 7. Let s be k(-7). What is the first derivative of s*z + 4*z + p - z - z wrt z?
2
Let z be 2/8 + (-12)/(-16). What is the first derivative of 2*d - z + 6 - 1 - 3 wrt d?
2
Suppose 2*p + 7 = 3*n, -5*p = n + 2*n - 35. Find the third derivative of -2*h**4 + 2*h**p - 5*h**2 + 4*h**4 wrt h.
96*h
Let p(q) = q**3 - 5*q**2 + 4*q + 3. Let z be 0 + -4*3/(-3). Let j be p(z). Find the second derivative of 4*c**3 - c - j*c**3 + 2*c wrt c.
6*c
What is the second derivative of 4*c + 6*c**5 - 8*c**2 - 3*c**5 + 8*c**2 wrt c?
60*c**3
Let k(b) = 2*b - 4. Let l be k(3). Suppose -2*p + l*y = 0, 3 = 2*p + 2*p - y. Differentiate -p + 0*h + 2*h - h with respect to h.
1
Let r(z) be the first derivative of -6*z**3 - 2*z**3 + 4*z**3 + 3*z**3 + 3 - z**4. What is the third derivative of r(u) wrt u?
-24
Let y(l) be the first derivative of 0*l**4 + 2*l**2 + 0*l + 0*l**3 - 1/5*l**5 + 4. What is the second derivative of y(f) wrt f?
-12*f**2
Let t(p) be the second derivative of 3*p**5/20 + 2*p**3/3 - 22*p**2 - 3*p + 3. Differentiate t(l) with respect to l.
9*l**2 + 4
Let q(i) be the first derivative of -5*i**6/3 + 23*i**3/3 - 25. Find the third derivative of q(w) wrt w.
-600*w**2
Find the first derivative of -6 + 0 - 2*l**4 + 0*l**4 + 1 wrt l.
-8*l**3
Let u(w) = w**2 - 4*w + 3. Let k(j) = j**2 - 4*j + 4. Let y(f) = -3*k(f) + 4*u(f). Find the second derivative of y(a) wrt a.
2
Let r(g) = -1 - 1 - 2*g**3 + g**4 + 4 - g. Let q(c) = -c**4 + 5*c**3 + c - 5. Let a(p) = 2*q(p) + 5*r(p). Find the second derivative of a(z) wrt z.
36*z**2
Find the second derivative of 6*q**2 - 5*q + 5*q + q + 6*q wrt q.
12
Let n be (-4)/(-10) + (-2)/5. Suppose -8*s + 3*s = n. What is the second derivative of -2*v + s*v**2 - 2*v**2 + 3*v wrt v?
-4
Suppose -2*k = 2*k - 8. What is the third derivative of 6*f**k - 5*f**2 - 2*f**2 + f**3 wrt f?
6
Let u(h) be the second derivative of -2*h - 1/12*h**4 + 0*h**2 + 3/2*h**3 + 0. What is the second derivative of u(m) wrt m?
-2
Let k(c) be the third derivative of 0*c**4 + 0 + 1/12*c**5 + 0*c + 5*c**2 - 1/6*c**3. What is the first derivative of k(s) wrt s?
10*s
What is the first derivative of -15*t**4 - 2*t**4 + 7*t**4 - 4 + 0*t**4 wrt t?
-40*t**3
Let q(j) = j**2 - 10 - j + 10. Let p(o) = 12*o**2 - 20*o. Let g(y) = p(y) - 16*q(y). Find the second derivative of g(v) wrt v.
-8
Suppose 1 = k - 3. Let f(v) = -6*v**3 + 4*v**2 + 3. Let r(o) = o**3 - o**2 - 1. Let z(u) = k*r(u) + f(u). What is the derivative of z(g) wrt g?
-6*g**2
Let x(h) = -h**3 - h**2 - h. Let v(y) = -8*y**3 - 11*y**2 - 11*y + 2. Let r(t) = 4*v(t) - 44*x(t). Find the first derivative of r(f) wrt f.
36*f**2
Find the third derivative of -8*w**2 - 17*w**6 - 5*w**2 + 2*w**6 wrt w.
-1800*w**3
Let w be -5 + 7 + 2/2. What is the third derivative of -11*n**w + 2*n**2 + 6*n**3 + 2*n**2 wrt n?
-30
Let o = -3 - -8. What is the third derivative of -4*c**2 + 4*c**o - 9 + 9 wrt c?
240*c**2
What is the third derivative of -29*j**3 - 4483 + 25*j**2 + 4483 wrt j?
-174
Let b(i) be the third derivative of 3*i**5/20 - 11*i**4/24 - 12*i**2. What is the second derivative of b(c) wrt c?
18
Find the second derivative of 6*l + 3 - 3*l - 6*l - 51*l**4 wrt l.
-612*l**2
Suppose 3*k = 11*k. Let d(s) be the third derivative of -2*s**2 + 1/6*s**3 + 0*s**4 + 0 + 1/20*s**5 + k*s. Find the first derivative of d(t) wrt t.
6*t
Suppose 2*f + 3*l - 7 = f, 2*f + 4*l = 10. Suppose 9 = 2*s + f. Differentiate -5*o**4 + s + 6*o**4 + 3*o**4 with respect to o.
16*o**3
What is the derivative of -10 + 0 + 11 + 8 + 3*o wrt o?
3
Let b(s) = 1. Let g(k) = 22*k**2 + 40*k + 6. Let v(w) = 6*b(w) - g(w). What is the second derivative of v(y) wrt y?
-44
Let m(d) be the first derivative of 2*d**3/3 + d**2 - 2*d + 1. Let f be m(-2). What is the third derivative of 3*j**3 - 3*j**3 + f*j**3 - 2*j**2 wrt j?
12
Let h(w) be the second derivative of 11*w**4/12 - 5*w**2/2 + 9*w. What is the first derivative of h(u) wrt u?
22*u
What is the derivative of -4 - 32 + 7*m**2 + 30*m**2 wrt m?
74*m
Differentiate -24 - 34 - 45*g + 45 wrt g.
-45
Let r(s) = s + 24. Let i be r(0). Let x = 37 - i. Differentiate -x - 2*w**4 + 10 + w**4 wrt w.
-4*w**3
Let h = 32/7 + -313/70. Let j(o) be the second derivative of -h*o**5 + 0 + 0*o**4 + 2*o + 1/3*o**3 + 0*o**2. Find the second derivative of j(r) wrt r.
-12*r
Let z(v) = -v**3 + 6*v - 3. Let b(c) = 2*c**3 - 11*c + 6. Let u be -1*(-3)/(-2)*-4. Let t(y) = u*b(y) + 11*z(y). Differentiate t(s) wrt s.
3*s**2
Let v(r) be the second derivative of r**5/5 - 11*r**4/6 - 17*r. Find the third derivative of v(w) wrt w.
24
Suppose y - 2 + 1 = 0. Let j = 1 + y. What is the second derivative of -4*r - j*r - 3*r**2 + 2*r + 2*r**2 wrt r?
-2
Let u(k) = -13*k + 6. Let j(z) = 14*z - 7. Let t(o) = -3*j(o) - 4*u(o). Find the first derivative of t(l) wrt l.
10
Suppose 7*k = 2*k + 25. Suppose 2*q 