 11 = w, 0*w - b = 2*h - 3*w. What is the second derivative of -k**4 + h - 3 + 2*k wrt k?
-12*k**2
Let p = -20 + 20. Let u(i) be the second derivative of 1/3*i**3 + p + 2*i + 0*i**2 + 1/6*i**4. What is the second derivative of u(z) wrt z?
4
Let c(d) be the second derivative of -d**7/2520 + d**5/30 - d**4/3 + d. Let p(k) be the third derivative of c(k). Find the first derivative of p(f) wrt f.
-2*f
Let r(u) be the first derivative of u**5/20 + u**4/12 + u + 2. Let j(s) be the first derivative of r(s). Find the third derivative of j(q) wrt q.
6
Let c(j) be the second derivative of 6*j**8/7 - 11*j**4/6 + 55*j. What is the third derivative of c(w) wrt w?
5760*w**3
Let f(v) = 3*v**2 - 3*v**3 + 4*v + 0*v + 0*v. Let j(b) = -b**4 - b**3 + b**2 + b. Let a(s) = -f(s) + 3*j(s). What is the second derivative of a(k) wrt k?
-36*k**2
What is the third derivative of 3*r**2 + 12*r**5 + 2*r**5 - 6*r**5 wrt r?
480*r**2
Let c(n) = 2*n**3 - 4*n**2 + 4*n - 3. Let l be c(2). Find the second derivative of 0*z**4 - 2*z + z**4 + l*z wrt z.
12*z**2
Let b(d) be the second derivative of 0*d**2 + 0 + 1/20*d**5 + 0*d**3 + 3*d + 5/12*d**4. What is the third derivative of b(s) wrt s?
6
Suppose 44 = -4*l + 8*l. Find the third derivative of -11*s**5 + 2*s**6 + l*s**5 + s**2 + 3*s**2 wrt s.
240*s**3
Find the second derivative of -y**5 - 2*y + 10*y**5 + y**5 wrt y.
200*y**3
Let o(m) be the first derivative of -m**4/4 + m**3/6 - 4*m - 2. Let f(t) be the first derivative of o(t). What is the second derivative of f(z) wrt z?
-6
Let o = 3 + -3. Suppose o*z = -z + 4. Find the third derivative of -a**4 + 5*a**4 - 2*a**z + a**2 wrt a.
48*a
Suppose h = -4*h + 15. Suppose -4*k + 3 = -h*k. Differentiate 0*q**k - 3 + q**3 + 5 with respect to q.
3*q**2
Let s(f) = f**2 + 4*f. Let x be -6*2/3*1. Let o be s(x). What is the second derivative of o*n**2 + 0*n**2 + n**2 + 2*n wrt n?
2
Suppose 2*k - h - 38 = h, 2*k = 3*h + 35. Let n = -16 + k. What is the second derivative of o**2 - n*o + 2*o + 3*o wrt o?
2
Suppose 2*v - 37 + 1 = 0. Let k(s) = -7*s**3 - 12*s**2. Let r(n) = n**3 + n**2. Let z(c) = v*r(c) + 2*k(c). What is the third derivative of z(b) wrt b?
24
Let l(h) be the third derivative of -5*h**8/336 + 2*h**4/3 + 17*h**2. Find the second derivative of l(o) wrt o.
-100*o**3
Let f(g) = 14*g**5 - 28*g**4 + 14*g**2 + 28*g + 28. Let l(q) = -q**4 + q + 1. Let u(j) = -f(j) + 28*l(j). Find the third derivative of u(p) wrt p.
-840*p**2
Let q(v) = 5*v + 3. Suppose -7 - 14 = -3*o. Let w(z) = -2*z - 1. Let u(b) = o*w(b) + 3*q(b). Find the first derivative of u(f) wrt f.
1
Let m be (-34)/(-10) + (-2)/5. Let j = 2 + m. What is the second derivative of c + 3*c**j - 4*c**5 + 3*c**5 wrt c?
40*c**3
Let q(c) be the first derivative of 6*c**5 + 32*c**3/3 - 34. Find the third derivative of q(x) wrt x.
720*x
Find the second derivative of 10*i**4 - i**5 - 25*i**4 + 7*i + 15*i**4 wrt i.
-20*i**3
Suppose -7*z = -10*z + 6. Find the first derivative of -18 + 4*l**3 - z*l**3 + 20 wrt l.
6*l**2
Find the second derivative of 7*z + 9*z - 2*z**3 - 23*z - 2*z**3 wrt z.
-24*z
What is the third derivative of -8 - 2*s**3 + 15 + 54*s**5 - 7 - 2*s + 26*s**2 wrt s?
3240*s**2 - 12
Let x = -5 + 9. What is the second derivative of x*n**5 + 6*n + 2*n**5 - n - n**5 wrt n?
100*n**3
Let b = -21 + 21. Let v(u) be the third derivative of -u**2 + 1/24*u**4 + 0*u + b + 1/3*u**3. Differentiate v(m) with respect to m.
1
Let l(a) = -a**3 - a**2 + a. Let c(b) = -b**3 + 4*b**2 - 4*b - 5. Let n(m) = -c(m) - 4*l(m). Differentiate n(g) wrt g.
15*g**2
Let l(u) = u**3 - 9*u**2 + 8*u - 3. Let y be l(8). Let j(r) = 6*r + 3. Let v(k) = 3*k + 1. Let t(h) = y*j(h) + 7*v(h). Differentiate t(i) with respect to i.
3
Let a be (-1 - -1 - 0) + 2. What is the second derivative of a*p + 3*p - 2*p - 2*p**4 wrt p?
-24*p**2
Let g(q) be the third derivative of 1/40*q**6 + 0*q + 0 + 0*q**4 - 2*q**2 - 7/6*q**3 + 0*q**5. What is the derivative of g(s) wrt s?
9*s**2
Suppose -3*v - 3 = -3*f, 3*v - 4*f + 0*f = -8. What is the third derivative of 2*j**4 + j**5 - v*j**4 + 2*j**2 + 2*j**4 wrt j?
60*j**2
Let u(l) be the second derivative of 9*l**5/20 - l**3/6 - 3*l. Find the second derivative of u(d) wrt d.
54*d
What is the first derivative of -3*x**2 + 5*x**4 - 8 + 5*x**2 - 2*x**2 wrt x?
20*x**3
Let q(b) = b**3 - 6*b**2 + 4*b + 1. Let x be q(5). Let d = x + 6. Differentiate -4 + 3 + 0 + d*m**2 wrt m.
4*m
Let v(u) = 13*u**5 + 4*u**3 + 6*u**2 + 4*u - 4. Let l(a) = a**5 + a**3 + a - 1. Let c(g) = -4*l(g) + v(g). What is the third derivative of c(o) wrt o?
540*o**2
Suppose 0 = 2*y + 2*f - 2, y - f = 2*f + 13. What is the derivative of -3 - 5*x - 1 + y*x wrt x?
-1
Suppose -x = 4 - 7. Find the first derivative of -5*v**x + 7*v**3 + 2 + 0 wrt v.
6*v**2
Let x(i) = i**2 + i**2 + 6 + i**2 + i**2 + 3*i. Let o(l) = 11*l**2 + 8*l + 17. Let q(f) = -3*o(f) + 8*x(f). What is the first derivative of q(w) wrt w?
-2*w
Suppose -p - 2*t + 10 = -0*t, -4*t = -2*p - 20. Find the second derivative of -b**2 + 0*b**2 + p + 0 + 3*b wrt b.
-2
Let j(k) = -k**2 + k + 4. Let o be j(0). Find the second derivative of 10*a**4 - 6*a**o + 4*a - a wrt a.
48*a**2
Let p(c) be the second derivative of c**6/15 + 10*c**3/3 + 7*c. Find the second derivative of p(t) wrt t.
24*t**2
Let h(a) be the second derivative of 3*a**5/20 + 9*a**2/2 + 7*a. Find the first derivative of h(d) wrt d.
9*d**2
What is the first derivative of 13 - 5*q**3 + 20*q**3 - 7*q**2 + 7*q**2 wrt q?
45*q**2
Let u(j) = j + 9. Let k be u(-6). Suppose 2*y + 15 = -k*h - 2*h, 0 = -2*y + 3*h + 9. Differentiate y + 1 - 2*g**2 + 0 wrt g.
-4*g
Let g(h) be the third derivative of h**5/4 - 5*h**3/3 + 6*h**2. Find the first derivative of g(a) wrt a.
30*a
Let h(i) = 2*i**5 + 2*i**4 - 37*i**2 + 2. Let d(f) = 4*f**5 + 5*f**4 - 74*f**2 + 5. Let k(y) = -2*d(y) + 5*h(y). Find the third derivative of k(v) wrt v.
120*v**2
Let a = 1 + 1. Find the third derivative of s - s - a*s**4 + 2*s**2 wrt s.
-48*s
Suppose -d - 16 = -2*n, 0*d - 3*d - 8 = 2*n. Let f be (12/(-8))/(d/8). Find the second derivative of 2*a**2 - a - f*a**3 - 2*a**2 wrt a.
-12*a
Let t(f) = f + 1. Let h(c) = 5 + 1 + 3*c + 5*c + 3*c**3. Let v(j) = h(j) - 6*t(j). Find the second derivative of v(z) wrt z.
18*z
Let t(p) = 37*p**3 - 35*p**2 + 3. Let j(d) = -d**3 + d**2 - 1. Let l(q) = -3*j(q) - t(q). Find the third derivative of l(i) wrt i.
-204
Let k = -5 - -9. What is the second derivative of -k*o**3 + 4*o + 14*o**3 - 6*o**3 wrt o?
24*o
What is the second derivative of -9*m**5 + 31*m**5 - 5*m - 8*m**5 - 7*m**5 wrt m?
140*m**3
Let s(x) = x**3 + 3*x**2 + 1. Let b be s(-3). Suppose -5*a = p - 29, 2*a - 13 = -2*p + a. Differentiate p*m - 2*m - 3*m + b with respect to m.
-1
Let m(b) = 9*b**4 - 3*b**3 - 3*b**2 - 3*b. Let j(d) = -10*d**4 + 4*d**3 + 4*d**2 + 2*d. Let l(v) = -3*j(v) - 4*m(v). Find the second derivative of l(q) wrt q.
-72*q**2
Let h(v) be the second derivative of -v**7/280 - v**5/120 + v**3/3 - 3*v. Let c(r) be the second derivative of h(r). Find the second derivative of c(q) wrt q.
-18*q
Let l(o) be the first derivative of o**6/120 + o**5/120 + 2*o**3/3 + 3. Let b(x) be the third derivative of l(x). Find the second derivative of b(a) wrt a.
6
Let m(c) be the third derivative of -c**5/60 - c**3 - 3*c**2. Differentiate m(s) wrt s.
-2*s
Let d(x) = 3*x**4 + x. Let z = 14 - 11. Let b(u) = u**5 + 8*u**4 + 2*u. Let i(r) = z*b(r) - 8*d(r). What is the second derivative of i(v) wrt v?
60*v**3
Let j(k) be the third derivative of -k**5/20 + 3*k**4/8 + 5*k**2. What is the second derivative of j(o) wrt o?
-6
Let u(y) be the first derivative of -3*y**8/56 + y**4/4 - 2*y + 1. Let c(d) be the first derivative of u(d). What is the third derivative of c(a) wrt a?
-360*a**3
Suppose 15 = -0*k + 3*k. What is the second derivative of -k*t + 5*t + 3*t + 3*t**3 wrt t?
18*t
Let p(s) = -s**2 - s**2 + 7*s - s**2. Suppose 8 - 20 = -3*n. Let l(r) = -3*r**2 + 6*r. Let b(x) = n*p(x) - 5*l(x). What is the second derivative of b(d) wrt d?
6
Let i = 5 - 2. Find the third derivative of 11*n + n**2 - i*n**4 - 11*n wrt n.
-72*n
Suppose -4*q - 1 = -9. Suppose 2 = 2*a - q. What is the third derivative of 4*t**a - 5*t**4 + 5*t**4 + 3*t**4 - 4*t**4 wrt t?
-24*t
Suppose 4*o - 117 = 5*x, o + 0*o - 43 = 4*x. Differentiate 22 + 2*a**3 - a**2 +