
What is the third derivative of 3*f**3 + 0*f**2 + 3*f - f**2 - 3*f wrt f?
18
Suppose -4 = 2*f, -h + 1 = -3*f - 11. Find the first derivative of h + r**2 + 0*r**2 - 2 - 1 wrt r.
2*r
Let w(x) be the first derivative of -7/5*x**5 + 2 + 5/3*x**3 + 0*x**4 + 0*x + 0*x**2. Find the third derivative of w(u) wrt u.
-168*u
Let x be -1 - (3 - 24/3). Let u be 4 - -7 - (x - 2). What is the third derivative of -u*s**2 + 5*s**2 + 3*s**2 + 4*s**2 + 2*s**3 wrt s?
12
Let y(v) be the third derivative of 4*v**5/15 + v**4/3 + 6*v**2. Find the second derivative of y(n) wrt n.
32
Let n(f) be the third derivative of 0*f + 0 + f**2 + 0*f**4 + 1/42*f**7 - 1/60*f**5 + 0*f**3 + 0*f**6. Find the third derivative of n(b) wrt b.
120*b
Let k(p) = 11*p**3 + 3*p**2 + 4*p - 3. Let s(w) = -11*w**3 - 2*w**2 - 4*w + 2. Let v(f) = 2*k(f) + 3*s(f). What is the second derivative of v(n) wrt n?
-66*n
Let h(d) be the first derivative of -2 + 2*d + 0*d**3 + 1/2*d**4 + 0*d**2. What is the derivative of h(b) wrt b?
6*b**2
Let x(n) = 17*n**3 + 6*n**2 + 6*n - 1. Let u(b) = 16*b**3 + 5*b**2 + 5*b. Let v(g) = -6*u(g) + 5*x(g). What is the derivative of v(o) wrt o?
-33*o**2
What is the second derivative of 0*a**3 + 5*a**3 - 4*a - 4*a**5 - 5*a**3 wrt a?
-80*a**3
Let b(x) be the first derivative of -2/3*x**3 + 0*x - 1/24*x**4 + 0*x**2 - 2 + 1/60*x**5. Let z(t) be the third derivative of b(t). Differentiate z(p) wrt p.
2
Suppose 41 = 2*n - 3. Suppose 2*f = n + 8. Find the second derivative of a + 13*a**5 + 2*a - f*a**5 + 0*a wrt a.
-40*a**3
Find the third derivative of -469 + 14*m**4 + 469 + 14*m**2 wrt m.
336*m
Suppose -p - 3 = 0, -3*p = -3*q - 2 + 20. Suppose o - 1 = 3. What is the third derivative of -2*z**2 - o*z**q - z + 2*z - z wrt z?
-24
Let j(z) be the first derivative of z**7/105 + z**5/20 + z**2 + 2. Let w(m) be the second derivative of j(m). Find the third derivative of w(y) wrt y.
48*y
Let t = -29 + 41. Find the third derivative of -2*q**5 - 8*q**5 + 16*q**2 - t*q**2 wrt q.
-600*q**2
Let x(r) = 25*r**3 - r**2 - 2*r - 21. Let l(o) = 125*o**3 - 6*o**2 - 10*o - 106. Let t(v) = -2*l(v) + 11*x(v). What is the second derivative of t(k) wrt k?
150*k + 2
Let a(c) = -7*c**3 - 2*c**2 - 2*c - 9. Let i(h) = 21*h**3 + 7*h**2 + 7*h + 28. Let u(r) = -7*a(r) - 2*i(r). Differentiate u(d) with respect to d.
21*d**2
Let v be (2 - 0)*(-30)/(-3). Suppose -20 = -5*c + 5*p, -v = 5*c + p + 4*p. Find the second derivative of s + 0*s**4 + s**4 + c*s**4 + 2*s wrt s.
12*s**2
Let o(k) be the third derivative of -5*k**2 + 0*k**3 + 0*k + 0 - 1/6*k**4 + 1/60*k**5. Find the second derivative of o(w) wrt w.
2
Let w(h) be the first derivative of -h**5/20 + h**4/8 - 2*h**2 + 2. Let v(o) be the second derivative of w(o). Find the second derivative of v(z) wrt z.
-6
Let l(j) = -2*j + 1. Let n be l(-5). Let p = n - 7. Find the third derivative of 0*c**p + c**2 + 3*c**4 - 2*c**4 wrt c.
24*c
What is the third derivative of 555*q**3 + 20*q**2 - 555*q**3 + 41*q**4 - 6*q**2 wrt q?
984*q
Let l(s) be the second derivative of s + 0*s**3 + 0 + 0*s**2 - 1/20*s**5 - 1/3*s**4. Find the third derivative of l(r) wrt r.
-6
Suppose -3*t + 4 = -4*r + 16, -5*t - 9 = -3*r. Suppose -4*h = 8, -3*g = r*h + 2*h + 4. Find the third derivative of 4*l**3 + 2*l**4 - 2*l**g - 4*l**3 wrt l.
48*l
Let v(l) be the second derivative of 0*l**4 + 0*l**6 + 0*l**2 + 0*l**5 - 1/7*l**7 - 9*l + 0 + 4/3*l**3. Find the second derivative of v(s) wrt s.
-120*s**3
Let s = 5 - 3. What is the third derivative of 2*j**2 - j**s - 2*j**5 + 3*j**5 + j**5 wrt j?
120*j**2
Let h(y) = -6*y - 7. Let p(w) = -w - 6. Let k(i) = -i - 7. Let b(n) = -5*k(n) + 6*p(n). Let z(d) = 5*b(d) - h(d). What is the derivative of z(g) wrt g?
1
Let l(b) be the first derivative of 8*b**3/3 - 7*b**2/2 - 9. Find the second derivative of l(n) wrt n.
16
Let u(a) = a**2 + 6*a + 6. Let r(z) = -z**4 - 2*z**2 - 13*z - 13. Let k(d) = -6*r(d) - 13*u(d). What is the third derivative of k(g) wrt g?
144*g
Let u(o) = -3*o**2 - 5*o - 3 + 3*o + 0*o**5 - o**5. Let z(n) = -4*n**2 - 3*n - 4. Let d(b) = 4*u(b) - 3*z(b). Find the second derivative of d(h) wrt h.
-80*h**3
Let r(b) = -35*b**3 - b - 3. Let m(h) = -71*h**3 - 2*h - 7. Let c(a) = -3*m(a) + 7*r(a). What is the second derivative of c(x) wrt x?
-192*x
Suppose 0 = 3*k + z - 9, 3*z - 12 = -3*k - 3. Suppose 0 = 5*m - 0*s - 2*s - 2, 0 = k*m - 4*s + 10. Differentiate n**m + 2 - 3*n**2 + n**2 with respect to n.
-2*n
Differentiate t**2 + 3*t**2 - 2*t + 2*t + 5 with respect to t.
8*t
Let y(k) = 23*k**4 - 8. Let m(o) = 11*o**4 - 4. Let s(q) = 9*m(q) - 4*y(q). What is the first derivative of s(h) wrt h?
28*h**3
Let u(j) be the third derivative of 3*j**7/70 + 3*j**4/8 + 15*j**2. Find the second derivative of u(b) wrt b.
108*b**2
Differentiate 312*c**2 - 25*c**3 - 312*c**2 - 15 with respect to c.
-75*c**2
Suppose 4*m = 16, 1 = -4*c + 5*m - 7. Differentiate -6 + 3*o**2 - 3*o**2 + c + 5*o**2 with respect to o.
10*o
Let a be (1 + 77/(-80))/((-72)/(-32)). Let t(q) be the third derivative of 2*q**2 + 0*q**4 + 0 - a*q**5 + 1/6*q**3 + 0*q. Differentiate t(z) with respect to z.
-2*z
Let s(l) = -l**2 - 8*l + 6. Let c = -3 + -5. Let v be s(c). Differentiate 6*h**3 + 2 - v*h**3 + 3*h**4 wrt h.
12*h**3
Let b = 2 - -1. Find the third derivative of -8*v**2 - 5*v**2 + b*v**5 + 11*v**2 wrt v.
180*v**2
Let m be (-20)/5 + (-3)/(-1). Let g(l) = 4*l**3 - 3*l + 3. Let o(n) = -1. Let f(t) = m*g(t) - 3*o(t). Find the second derivative of f(x) wrt x.
-24*x
Let v(p) = 9*p**3 + 3*p**3 - 11*p**3 - 3*p + 3. Let t(c) = 3*c**3 - 7*c + 5. Let q(a) = 3*t(a) - 5*v(a). Find the second derivative of q(o) wrt o.
24*o
Suppose 10 = u + 2*j + 1, 0 = -5*u + 3*j - 20. Let c = u + 3. Differentiate 3 + g - c - 3 with respect to g.
1
Let o(u) = -4*u**2 + 2*u + 3. Let i(d) = d**2 - 1. Let m(r) = 6*i(r) + 2*o(r). Find the second derivative of m(c) wrt c.
-4
Let b(q) be the third derivative of 0*q + 0 - 2*q**2 + 0*q**3 + 0*q**4 - 1/40*q**6 + 1/30*q**5. What is the third derivative of b(x) wrt x?
-18
Let p(v) be the first derivative of 28*v**3/3 - v**2 - v - 56. Find the second derivative of p(j) wrt j.
56
Let u(v) be the first derivative of 1 + 0*v**2 - 1/3*v**3 - 3/7*v**7 + 0*v + 0*v**4 + 0*v**5 + 0*v**6. What is the third derivative of u(w) wrt w?
-360*w**3
Let j(a) = 20*a**4 - 3*a**3 + 3*a**2 - 23. Let g(w) = -w**4 - w**3 + w**2. Let f(u) = -3*g(u) + j(u). What is the first derivative of f(p) wrt p?
92*p**3
Let d = -7 + 16. Differentiate 9 + d*q - 3 - 5 with respect to q.
9
Let m(r) be the first derivative of 39*r**4/4 - 9*r**3 - r**2/2 - 17. What is the third derivative of m(k) wrt k?
234
Let k(c) = c**3 - 8*c**2 + 8*c - 5. Let y be k(7). What is the third derivative of 4*f**3 + f**2 + 4*f**y - 3*f**2 - 5*f**3 wrt f?
-6
Let s(p) be the second derivative of p**7/504 - p**6/144 + p**4/6 - p. Let v(k) be the third derivative of s(k). Find the second derivative of v(w) wrt w.
10
Let h(b) be the first derivative of b**7/42 + b**4/24 + b**2 - 4. Let a(o) be the second derivative of h(o). Find the second derivative of a(c) wrt c.
60*c**2
Let f(m) be the first derivative of 0*m**2 - 3 + 0*m**5 - 4/3*m**3 + 2/3*m**6 + 0*m**4 + 0*m. What is the third derivative of f(r) wrt r?
240*r**2
Let u be 3/2 - 3/(-6). Let r(q) = -q**3 + 2*q**2 - 3*q**u + q**2 + 1. Let v(l) = 6*l**3 - 3. Let x(c) = -5*r(c) - v(c). What is the derivative of x(t) wrt t?
-3*t**2
Let l(q) be the first derivative of -5/3*q**3 + 0*q**2 + 0*q - 3 + 0*q**4 - q**5. Find the third derivative of l(r) wrt r.
-120*r
Suppose 0*f = -5*f + 30. Let k = -5 + f. Differentiate k + 3*t - 3*t + t**4 wrt t.
4*t**3
Let l(w) be the first derivative of 1/6*w**6 + 0*w**4 + 0*w**3 - 2*w**2 + 0*w - 1 + 0*w**5. Find the second derivative of l(o) wrt o.
20*o**3
Let n(a) = -a**3 - 2*a - a**2 + 3*a + a + 1 - 3*a. Let x(u) = -4*u**3 - 3*u**2 - 3*u + 7. Let d(j) = 3*n(j) - x(j). Differentiate d(y) with respect to y.
3*y**2
Let c(j) = 13*j - 8 - 2 - 7. Let h(m) = 3*m - 4. Let z(o) = 2*c(o) - 9*h(o). Find the first derivative of z(q) wrt q.
-1
Find the second derivative of 8*f - 64 + 64 + 3*f**2 wrt f.
6
Let j(v) be the second derivative of -8*v**5/5 + 29*v**3/6 - 2*v. Find the second derivative of j(y) wrt y.
-192*y
Let s(x) be the third derivative of x**6/20 - x**5/5 - 9*x**2. Wha