 Let j(v) = -v**3 + 3*v**2 - v. Let l(y) = 2*j(y) + 5*n(y). What is the second derivative of l(w) wrt w?
-12*w - 8
Let g(k) = -k**2 - 6. Suppose -3*u = -4 + 1. Let a(y) = -5 - u + 1 - y**2. Let p(s) = -3*a(s) + 2*g(s). Differentiate p(c) with respect to c.
2*c
Let d = -7 + 3. Let h be -1 + 1 + d/(-2). What is the third derivative of -12 + h*f**2 - f**6 + 12 wrt f?
-120*f**3
Differentiate 4 - 6 - 1 - 11*x**4 + 6 with respect to x.
-44*x**3
Let w be -2 + (3 - (0 + -2)). Find the third derivative of -18*h - w*h**2 + 18*h + h**6 wrt h.
120*h**3
Let c(p) = -p**3 + 1. Let g(n) = -9*n**3 - 2*n**2 + 31*n + 5. Let w(k) = -5*c(k) + g(k). What is the second derivative of w(f) wrt f?
-24*f - 4
Let v(l) be the third derivative of 0 + 5*l**2 + 1/12*l**4 + 0*l**3 + 1/15*l**5 + 0*l. Find the second derivative of v(t) wrt t.
8
Let m(p) be the first derivative of p**8/336 - p**5/10 + 2*p**2 - 4. Let z(h) be the second derivative of m(h). What is the third derivative of z(y) wrt y?
60*y**2
What is the third derivative of -35*o + 14*o**6 - 39*o + 16*o**2 + 74*o wrt o?
1680*o**3
Find the first derivative of 45 + 14*d**3 - 30*d**3 + 16*d**3 + 36*d**4 wrt d.
144*d**3
Let i(v) be the second derivative of -3*v**6/10 + 9*v**2/2 - 12*v. Differentiate i(q) with respect to q.
-36*q**3
Let j(v) = 4 - 1 + 4*v**2 + 4*v**3 - 2*v**3. Let f(t) = 6*t**3 + 11*t**2 + 8. Let c(a) = 4*f(a) - 11*j(a). What is the first derivative of c(b) wrt b?
6*b**2
Let t(h) be the first derivative of -h**5/5 - h**2 - 1. Find the second derivative of t(w) wrt w.
-12*w**2
Let l be 1/5 + (-56)/(-20). Let p(y) = -y + 2. Let r be p(-6). Differentiate -r - 2 + 7 - o**l with respect to o.
-3*o**2
Let g(m) = 33*m**3 + 7*m**2 + 7*m + 21. Let i(w) = -17*w**3 - 4*w**2 - 4*w - 10. Let d(u) = 4*g(u) + 7*i(u). What is the first derivative of d(z) wrt z?
39*z**2
Suppose -2*c = c - 2*j - 6, 0 = 3*j - 9. Suppose 5*d + c*o = 23, d + o = 8 - 3. What is the derivative of -2 + 0*f**3 - 2*f**3 + d wrt f?
-6*f**2
Suppose 24 = 2*d - 4*u, -d + 11 = -4*u - 9. Suppose d*x - 3*x - 2 = 0. Find the third derivative of -2*t**3 + 2*t**x - 3*t**3 + 6*t**3 + t**2 wrt t.
6
Let a(z) be the first derivative of 3*z**4 + 12*z + 8. Find the first derivative of a(i) wrt i.
36*i**2
Let h(b) be the second derivative of -b**6/10 - 11*b**4/12 - 4*b. What is the third derivative of h(z) wrt z?
-72*z
Let p(x) be the third derivative of -x**8/42 + 2*x**7/105 + 14*x**5/15 + 36*x**2. What is the third derivative of p(c) wrt c?
-480*c**2 + 96*c
What is the third derivative of -11*h**2 + 202*h - 202*h - 2*h**5 wrt h?
-120*h**2
Let o(x) = -13*x + 13. Let j(a) = -13*a + 12. Let i(f) = 4*j(f) - 5*o(f). What is the first derivative of i(l) wrt l?
13
What is the third derivative of -7*c**2 - 2*c**2 + 3*c**2 + c**2 - 17*c**3 wrt c?
-102
Let n(g) be the second derivative of -g**5/20 + 5*g**4/12 - g**3/6 + 9*g**2/2 + 2*g - 37. Find the second derivative of n(c) wrt c.
-6*c + 10
What is the second derivative of 22*s**5 + 32 - 32 + 26*s wrt s?
440*s**3
Let b(v) = -v**2 + 6*v + 4. Let t be b(6). Find the second derivative of 16*l**4 - 16*l**4 + 2*l + 2*l - t*l**5 wrt l.
-80*l**3
Let p(o) = -o**2 - 5*o + 6. Let m be p(-5). Find the third derivative of -m*k**4 + 2*k**4 + 3*k**4 + 2*k**2 wrt k.
-24*k
Let c(t) = -5*t**5 - t**3 + t**2 - 7*t + 1. Let g(i) = i**3 - i**2 - 1. Let w(z) = -c(z) - g(z). Find the second derivative of w(r) wrt r.
100*r**3
Let r(l) = 6*l**4 - 4*l**3 - 4*l**2 + 2*l. Let b(s) = -13*s**4 + 7*s**3 + 7*s**2 - 5*s. Let g(h) = 4*b(h) + 7*r(h). What is the second derivative of g(p) wrt p?
-120*p**2
Let k(t) = -t**4 + t**3 - 1. Let o(l) = -23*l**4 + 4*l**3 - l - 4. Let u(h) = -4*k(h) + o(h). Find the second derivative of u(s) wrt s.
-228*s**2
Suppose -4*p - 22 = -3*p - 5*z, 2*p = -2*z + 16. What is the first derivative of -p*k**3 + 6 - 3 + k**3 - k**3 wrt k?
-9*k**2
Let p(t) be the first derivative of t**3 + t**2/2 + 5. Find the second derivative of p(b) wrt b.
6
Let k(p) be the second derivative of -2*p + 0*p**2 + 1/5*p**5 + 0*p**3 + 1/6*p**4 + 0. Find the third derivative of k(m) wrt m.
24
Suppose 5 = -d - 4*d + 5*z, 0 = -4*d + 3*z - 1. Find the third derivative of x**2 + 2*x**d - x**2 - x**6 + 2*x**6 wrt x.
120*x**3
Let s(y) be the third derivative of -y**7/504 + y**6/240 - y**4/6 + y**2. Let q(o) be the second derivative of s(o). Find the second derivative of q(l) wrt l.
-10
Let k be (5/(-15))/((-2)/12). Let v(x) = x**3 - 2*x**2 + x + 2. Let h be v(k). Differentiate -2 - h*b + 3*b + 4*b - 2*b with respect to b.
1
Let r(o) be the second derivative of o**7/280 - o**4/6 - o**3/2 - 2*o. Let p(v) be the second derivative of r(v). Find the first derivative of p(q) wrt q.
9*q**2
Let z = -46 - -50. Let s(p) be the first derivative of p + 2/5*p**5 + 0*p**3 + 0*p**2 + 0*p**z - 3. Find the first derivative of s(q) wrt q.
8*q**3
Let g = -17 - -32. Suppose 3*r - g = -0*r. What is the second derivative of -8*x**2 + x + 3*x**r + x + 8*x**2 wrt x?
60*x**3
Let m = 34 - 15. Find the second derivative of m + 2*s + 26 - 45 + 3*s**2 wrt s.
6
Let p(x) = 14*x**3 - 35*x + 13. Let c(i) = -7*i**3 + 17*i - 6. Let k(b) = 13*c(b) + 6*p(b). What is the second derivative of k(w) wrt w?
-42*w
What is the third derivative of -15*k**6 - 19*k**2 + 30*k**2 - 22*k**2 wrt k?
-1800*k**3
Let p = -22 - -22. Find the second derivative of 6*b - 9*b - 4*b**2 + p*b**2 wrt b.
-8
Let x(p) be the third derivative of p**8/168 - p**5/5 + 6*p**2. What is the third derivative of x(z) wrt z?
120*z**2
Let u(w) be the second derivative of 2*w**7/7 + 8*w**4/3 + 20*w. What is the third derivative of u(n) wrt n?
720*n**2
Let a(h) = h**2 + 2*h - 5. Let d(r) = -3*r**2 - 9*r + 26 - 3*r**2 + r**2 - 2*r. Let c(p) = -11*a(p) - 2*d(p). What is the first derivative of c(y) wrt y?
-2*y
Let b(g) be the first derivative of 2*g**6 + 3*g**2/2 - 2. What is the second derivative of b(t) wrt t?
240*t**3
Let w(c) = c**2 + 2*c + 1. Let i(f) = 3*f - 4*f - 2*f**2 + 3*f**2 - 1. Let u(t) = 2*i(t) + w(t). Differentiate u(r) wrt r.
6*r
Let y(m) = -5*m**3 + 2*m + 2. Let j = -3 - 4. Let u(q) = -16*q**3 + q**2 + 7*q + 7. Let r(p) = j*y(p) + 2*u(p). What is the third derivative of r(x) wrt x?
18
Suppose 0*i + 4*o = i - 15, -2 = o. What is the third derivative of 2*b**2 + 2*b**3 - i*b**3 - 4*b**2 + 4*b**2 wrt b?
-30
Let s be 7/2 + (1 - 4). Let r(c) be the second derivative of 3/2*c**2 - 3*c + 0 - s*c**3. What is the derivative of r(j) wrt j?
-3
Suppose -3*q + 4*q - 2 = 0. Suppose 6*t = 4*t + 4. Find the second derivative of -o**t + o**2 + q*o**2 + 2*o wrt o.
4
Let c = -11 + 4. Let f = 9 + c. Differentiate -4*p**f + 9*p**2 - 4 - p**2 wrt p.
8*p
Suppose 4*h - 12 = h. Find the third derivative of 3*d**4 + 6*d**2 + 2*d**h + d**3 - d**3 wrt d.
120*d
Let l(q) = -q**5 + q**4. Let h(z) = 33*z**5 - 15*z**4 + 6*z. Let f(k) = h(k) + 15*l(k). What is the second derivative of f(a) wrt a?
360*a**3
Let c(j) = j**2 + j - 1. Let h(x) = -16*x**4 - 4*x**2 + 3*x - 3. Let w(k) = 3*c(k) - h(k). Find the third derivative of w(r) wrt r.
384*r
Let f(c) = c + 7. Suppose 2*q - 3*z + 5*z = -4, 3*q = -z - 12. Let p be f(q). Find the second derivative of 0*t + t**p + 2*t**2 - t wrt t.
6
Suppose 4 + 60 = 4*y. Let d = y + -11. Differentiate 2*l**3 + 2*l**3 - 6 + 3 + d wrt l.
12*l**2
Let q(p) = p**2 - p - 3. Let z be q(3). What is the first derivative of -11*k**z + k**4 - 3 + 11*k**3 wrt k?
4*k**3
Let s = -7 + 9. Differentiate s - 1 + 7 - 4*o with respect to o.
-4
Suppose 0 = -2*a + 5 + 5. Suppose 35 = a*u + 2*p + 3*p, 2*u - p = 5. What is the third derivative of j**2 + u*j**6 - 7*j**6 + j**6 wrt j?
-240*j**3
Suppose 1 = -5*o + 21. Let q(i) be the first derivative of 3/5*i**5 + 0*i**o + 0*i**2 - 2*i + 1 + 0*i**3. Differentiate q(g) with respect to g.
12*g**3
Let v(b) be the first derivative of 0*b + 0*b**4 - 1/2*b**6 + 0*b**5 + 3/2*b**2 + 0*b**3 - 1. Find the second derivative of v(y) wrt y.
-60*y**3
Let p be 18 - 3/(-1 - -4). Suppose 3*a - 4*q - q = -3, 0 = -2*a - 3*q + p. Find the second derivative of -18*r**4 - 2*r - 3*r**5 + 18*r**a wrt r.
-60*r**3
Let o = -1 - -6. What is the second derivative of 31*p**4 - 3*p - o*p**5 - 31*p**4 wrt p?
-100*p**3
Let m(g) be the third derivative of g**7/30 + g**4/12 - 3*g**2. Find the second derivative of m(n) wrt n.
84