ative of 19*w**5/60 + 5*w**4/6 + 20*w**2. What is the second derivative of p(a) wrt a?
38
What is the second derivative of 397*f**3 - 7 + 10*f - 421*f**3 - 6*f wrt f?
-144*f
Let d be (-3)/(-6)*(1 + 2). Let o(g) be the first derivative of 3*g + 2 - d*g**2. What is the derivative of o(y) wrt y?
-3
Let f be -3 + 16 + (-2 - 0). Let r(b) = -10*b - 26. Let q(n) = -2*n - 5. Let v(g) = f*q(g) - 2*r(g). What is the derivative of v(l) wrt l?
-2
Let a be -5*(-2 - 18/(-15)). Suppose r = 5, a*v - 3*r + 2*r = -5. Differentiate 2 + v*p**3 + 2*p**3 - 1 with respect to p.
6*p**2
What is the third derivative of 8*v**5 - 3*v**2 + 415*v - 415*v wrt v?
480*v**2
Let a(g) be the first derivative of 2*g**5/5 + 2*g**3/3 - 1. Find the third derivative of a(d) wrt d.
48*d
What is the third derivative of -168*c - 3*c**4 + 13*c**2 + 168*c wrt c?
-72*c
Let x(k) = 3*k**5 - 5*k. Let o = 9 - 0. Let v(y) = -6*y**5 - 2*y**5 - o*y + 23*y. Let b(d) = 4*v(d) + 11*x(d). Find the second derivative of b(n) wrt n.
20*n**3
Suppose 6*f = s + 3*f + 7, -4*f = 2*s - 16. Let j(z) be the first derivative of 0*z**3 + 0*z**2 + 1/4*z**4 + s*z + 2. Differentiate j(r) with respect to r.
3*r**2
Let d(l) = l**3 - 12*l**2. Let t = 7 - 2. Let o(c) = -2*c**3 + 13*c**2. Let r(g) = t*o(g) + 6*d(g). Find the third derivative of r(m) wrt m.
-24
Let i = 2/5 - 1/15. Let f(d) be the second derivative of 2*d + 0 + i*d**3 + d**2. Find the first derivative of f(k) wrt k.
2
Let l(s) = 3*s - 4. Let b(i) = 4*i - 6. Let m be 116/16 + (-1)/4. Let y(n) = m*l(n) - 5*b(n). Differentiate y(k) wrt k.
1
Suppose 33*a - 9 = 30*a. Let h(c) = c**2 + 5*c - 4. Let f be h(-6). Find the second derivative of -a*z + 6*z**f + z - 2*z**2 wrt z.
8
Let c(x) be the third derivative of -4*x**7/105 + x**4/3 + 19*x**2. Find the second derivative of c(f) wrt f.
-96*f**2
Suppose -5*f = v - 23, f - 2*v - 15 = 3*v. Let b(d) = -d**3 + 6*d**2 - 4*d - 2. Let l be b(5). What is the second derivative of -f + 2*m - 4*m**l + 2 + 3 wrt m?
-24*m
Let p(n) be the first derivative of -3*n**5/20 - n**2/2 - 3*n - 1. Let g(u) be the first derivative of p(u). What is the derivative of g(y) wrt y?
-9*y**2
Let v(i) be the third derivative of -i**8/336 + i**5/15 + 5*i**2. What is the third derivative of v(o) wrt o?
-60*o**2
Suppose 3*u - 10 = 2. Suppose 8 = u*y - 4. Find the first derivative of -4*j + y*j - 1 + 2 wrt j.
-1
Let v(s) be the third derivative of s**4/12 - s**3 + 4*s**2. What is the derivative of v(b) wrt b?
2
Let q = 25 - 22. Let m(p) = -6*p**2 + 15*p + 5. Let r(d) = 3*d**2 - 7*d - 3. Let l(x) = q*m(x) + 5*r(x). What is the second derivative of l(u) wrt u?
-6
Let c(o) be the first derivative of -3 - 3*o + 3/2*o**2 + 1/2*o**3. Let j(t) be the first derivative of c(t). Find the first derivative of j(n) wrt n.
3
Let a = -4 + 8. What is the derivative of 4 + 4*l**a + 3*l**4 - 3*l**4 wrt l?
16*l**3
Find the third derivative of -23*t**5 + 35*t**5 + 3*t**2 + 6*t**2 wrt t.
720*t**2
Let x(p) be the third derivative of -p**6/24 + p**5/5 - 11*p**2. What is the third derivative of x(y) wrt y?
-30
Let c(z) = -24*z**4 + 5*z**3 + 5*z**2 + 5. Let t(d) = -d**4 + d**3 - d**2 + 1. Let s(q) = c(q) - 5*t(q). Find the third derivative of s(k) wrt k.
-456*k
What is the first derivative of -4 + 9*s + 17 - 5 wrt s?
9
Let s be -3*(3 - 1)*-1. Find the first derivative of -2 + 4*o - s*o + o wrt o.
-1
Suppose 0 = -5*x - 16 + 36, -3*a - 5*x + 35 = 0. Suppose a = -s - 2*v, -5*s = 4*v - 1 - 4. Differentiate -4 - 3*r**4 + 3 + s with respect to r.
-12*r**3
Let z(u) = -41*u**3 + 2*u + 15. Let t(d) = 40*d**3 - 3*d - 15. Let a(c) = 2*t(c) + 3*z(c). What is the derivative of a(n) wrt n?
-129*n**2
Let t(n) be the second derivative of 11*n**6/5 - 31*n**2/2 + 2*n - 2. Differentiate t(o) with respect to o.
264*o**3
Let l(u) be the second derivative of -u**7/21 - u**4/2 + 4*u. Find the third derivative of l(o) wrt o.
-120*o**2
Let g(t) = 10*t**2 + 4*t - 6. Let b(r) = 11*r**2 + 5*r - 5. Let v(l) = -4*b(l) + 5*g(l). What is the first derivative of v(d) wrt d?
12*d
Let t(k) be the third derivative of k**7/30 - k**4/6 + 25*k**3/3 - 2*k**2 + 2*k. Find the first derivative of t(s) wrt s.
28*s**3 - 4
Suppose 5*s - 9 = -c - 28, -55 = 4*c - s. Let n = c - -32. What is the second derivative of 14*y**3 + 7*y - 4*y - n*y**3 wrt y?
-24*y
Let s(m) = m**3 - m + 1. Let w(b) = b**3 - 3*b**2 + 3*b - 3. Let y be (20/(-6) - -3)*-3. Let o(z) = y*w(z) + 3*s(z). Find the third derivative of o(h) wrt h.
24
Let b(o) be the third derivative of -3*o**8/112 - o**4/2 + 21*o**2. What is the second derivative of b(i) wrt i?
-180*i**3
Let r be (3 + -2)/(2/6). Find the third derivative of 2*d**2 + 2*d**r - 2*d**3 - d**5 wrt d.
-60*d**2
Let h = 5 - 3. Suppose h*y - y = 2. Differentiate -2 - 2*l**y + 0*l**2 + 5 with respect to l.
-4*l
Let l(x) be the second derivative of 5*x**3/6 + x**2/2 - 4*x. Differentiate l(b) with respect to b.
5
Let o(c) be the second derivative of c**7/6 - 5*c**4/6 + 3*c. Find the third derivative of o(g) wrt g.
420*g**2
Let w(k) = k**2 - 4*k + 1. Let d be w(5). What is the third derivative of -2*o**2 + 0*o**4 + 2*o**4 - 2*o**4 - 2*o**d wrt o?
-240*o**3
Let x(b) = -2*b**2 - b. Let g(n) = -4 + 0*n + n - 2. Let u be g(8). Let h(l) = -l**4 + l**2. Let z(w) = u*h(w) + x(w). Find the second derivative of z(f) wrt f.
-24*f**2
Let z(f) = f**3 - 10*f**2 + f - 5. Let m be z(10). What is the third derivative of 5*l**6 - 17*l**5 - 5*l**2 + 17*l**m wrt l?
600*l**3
Suppose -4*u - 4*z + 24 = 0, 0 = -4*u + 4*z + 18 - 2. Find the third derivative of 5*n**2 - n**5 + n**5 + n**u + n**5 wrt n.
120*n**2
Let v(i) = -49*i**3 + 3*i**2 - 7*i - 9. Let b(m) = -50*m**3 + 4*m**2 - 8*m - 9. Let g(t) = -3*b(t) + 4*v(t). What is the second derivative of g(u) wrt u?
-276*u
Suppose -5*m = -4*m + 5*l - 22, -5*m - l + 14 = 0. Find the first derivative of -4*v**4 - 2*v**4 + m*v**4 + 4 wrt v.
-16*v**3
Let v(h) = -h**3 + h**2 - 1. Let g(l) = 13*l**3 - 6*l**2 - 8*l + 6. Let a(n) = -g(n) - 6*v(n). Find the second derivative of a(t) wrt t.
-42*t
Let p(y) be the first derivative of -y**3/3 - y**2 + 5*y + 62. Differentiate p(t) wrt t.
-2*t - 2
Let t be (6/5)/(6/20). Let a(o) be the third derivative of -2*o**2 + 0*o + 1/3*o**3 + 0 - 1/24*o**t. Find the first derivative of a(g) wrt g.
-1
Let g(a) = -3*a**2 - 5*a + 4. Let h = 2 - 3. Let w(l) = l**2 + l - 1. Let j(d) = h*g(d) - 5*w(d). What is the first derivative of j(v) wrt v?
-4*v
Let f(q) be the first derivative of 6 + 0*q - 9/2*q**2 + 0*q**3 + 0*q**4 + 6/5*q**5. Find the second derivative of f(g) wrt g.
72*g**2
Let f be 0/(-1) - 7*-1. Suppose 5*c - 8 = f. Differentiate g**2 + g**2 + 0*g + 0*g - c wrt g.
4*g
Let u(z) be the third derivative of -z**9/15120 - z**5/30 + z**4/6 - 2*z**2. Let h(k) be the second derivative of u(k). What is the derivative of h(q) wrt q?
-4*q**3
Let j(l) be the first derivative of 4/3*l**3 - 1/3*l**6 + 0*l**2 + 4 + 0*l**4 + 0*l + 0*l**5. Find the third derivative of j(g) wrt g.
-120*g**2
Let s(i) = -5*i**5 + 4*i**2 + i - 4. Let l(f) = -45*f**5 + 35*f**2 + 10*f - 35. Let t(m) = -4*l(m) + 35*s(m). What is the second derivative of t(x) wrt x?
100*x**3
Find the second derivative of 2*b + 3*b - 7*b**3 - b - 3*b wrt b.
-42*b
Differentiate 11 + 0*k**3 - k**3 + 11*k**3 + 5 wrt k.
30*k**2
Let o(b) be the third derivative of 1/6*b**4 + 1/15*b**5 - b**2 + 0*b**3 + 0*b + 0. What is the second derivative of o(r) wrt r?
8
Let m(p) be the first derivative of 33*p**4/4 - p + 15. Find the first derivative of m(b) wrt b.
99*b**2
Suppose 0 = 4*j - 25 - 3. Suppose 3*d = i + 4*d - 5, -d = -2*i + j. What is the first derivative of -3*u - 2 - i*u + 6*u wrt u?
-1
Let n(r) be the second derivative of 23*r**5/20 - r**4/6 - r**3/6 - 14*r. What is the third derivative of n(q) wrt q?
138
Differentiate -1 - 4 + 4 - 4*q wrt q.
-4
Let o(i) be the second derivative of i**8/1680 - i**5/60 - i**4/12 + 2*i. Let z(m) be the third derivative of o(m). What is the derivative of z(d) wrt d?
12*d**2
Let s = 29 + -19. Let p be (s/25)/((-1)/(-5)). Differentiate 0*c + 6 - p - 2 + 2*c wrt c.
2
Let o(d) = d**4 - d**3 - d - 1. Let u(x) = 9*x**4 + 4*x**3 - 14*x**2 + 4*x + 4. Let f(c) = 4*o(c) + u(c). What is the third derivative of f(i) wrt i?
312*i
Let j = -3 + 6. What is the first derivative of -1 + 4*d**3 + j