f -8*t**4 - 4*t**4 + 6*t**2 - t**4 + v*t**4 wrt t?
-168*t
Let k(q) be the second derivative of 0 + 2*q + 0*q**2 - 1/3*q**3 + 3/20*q**5 + 0*q**4. Find the second derivative of k(l) wrt l.
18*l
Let o be (16/1)/(-5 + 6). Let c be 18/8 - 4/o. Find the second derivative of -k + k + k + k**c wrt k.
2
Suppose 0 = w - 6*k + k - 2, -4*w + 2*k - 28 = 0. Let c = w + 11. What is the derivative of -3*u**4 + u**4 - 5 + c wrt u?
-8*u**3
Let k(t) be the second derivative of -t + 0*t**2 - 1/3*t**3 + 0 - 1/4*t**4. Find the second derivative of k(n) wrt n.
-6
Find the second derivative of 47*f + 125*f**2 - 5*f**3 - 126*f**2 + 7*f**3 wrt f.
12*f - 2
Let d(n) be the second derivative of 7*n**5/10 - 11*n**2/2 + 13*n. Differentiate d(f) wrt f.
42*f**2
Let s(n) = 6*n. Let w(c) = c + 1. Suppose -1 = g + 3. Let d(z) = g*w(z) + s(z). Differentiate d(a) wrt a.
2
Let o(w) be the first derivative of w**5/15 - w**4/12 + 3*w**2/2 - 2. Let n(t) be the second derivative of o(t). Find the second derivative of n(r) wrt r.
8
Suppose 2*p - p = 4*g - 151, -4*p = g - 59. Let x = -28 + g. What is the second derivative of -11 + 2*m**2 + m + x wrt m?
4
Let p(v) be the second derivative of 0 - 2*v + 1/3*v**3 + 1/2*v**2. Differentiate p(w) wrt w.
2
Let k(y) = 2*y**2 - 8*y + 8. Let i be k(4). Find the second derivative of -5*h + i*h**3 + 4*h - 3*h wrt h.
48*h
What is the second derivative of 1483 + 45*o**4 - 1483 - 7*o - 24*o wrt o?
540*o**2
Find the third derivative of -7*f**2 + 5*f**4 + 9*f**4 - 36*f**2 - 7*f**4 wrt f.
168*f
Let v(c) = -5 + 14 - c + 1. Let j be v(8). Find the second derivative of -2*i**2 + i - j*i - i**2 wrt i.
-6
Let z(c) = c + 10. Let t be z(-6). Let g(v) be the first derivative of 0*v**3 - 1/2*v**t + 0*v**2 - v - 1. What is the derivative of g(j) wrt j?
-6*j**2
Suppose 2*l - 18 = -2*j - 0*l, 5*j - 4*l = 0. Suppose z + 3*z = 16. Differentiate z - j + 2*v**2 + 2*v**2 - 2 wrt v.
8*v
Let s(g) be the second derivative of -g**2 - 1/15*g**6 + 0*g**3 + 0*g**5 - 2*g + 0 + 0*g**4. Differentiate s(i) wrt i.
-8*i**3
Let i(m) = m**2 + 1. Let f be i(-2). Find the second derivative of 9*t - 6 + 6 + 0*t**5 - 5*t**f wrt t.
-100*t**3
Let a(j) be the second derivative of -11*j**4/6 + 11*j**3/6 + 27*j. Find the second derivative of a(r) wrt r.
-44
Let p(g) be the second derivative of -8*g**5/5 + g**4/12 - 7*g**3/2 - 67*g. What is the second derivative of p(w) wrt w?
-192*w + 2
Let a(x) be the third derivative of -3*x**7/70 - x**4/6 - 3*x**2. What is the second derivative of a(g) wrt g?
-108*g**2
Let c(p) be the third derivative of -p**7/210 + p**3/2 - 2*p**2. What is the first derivative of c(w) wrt w?
-4*w**3
Let q = -45 - -47. Let w(a) be the second derivative of 3/20*a**5 + 0*a**2 + 0 + 0*a**4 - q*a - 1/6*a**3. Find the second derivative of w(s) wrt s.
18*s
What is the first derivative of 3*z**2 - 2*z**2 + 2 + 2 wrt z?
2*z
Let a(l) be the first derivative of l**10/5040 + l**6/180 - 4*l**3/3 + 4. Let x(f) be the third derivative of a(f). Find the third derivative of x(v) wrt v.
120*v**3
Let x(n) be the second derivative of 5*n**7/14 - n**3/6 + 2*n. Find the second derivative of x(z) wrt z.
300*z**3
Find the third derivative of 8*r**2 + 5*r**6 + 0*r**6 + 0*r**6 wrt r.
600*r**3
Differentiate -13 + 2*j**3 - 64*j + 64*j wrt j.
6*j**2
Let h be (3 - 3) + (2 - 1). Find the first derivative of -3*d + h + 3*d + d wrt d.
1
Suppose 2*w + 3*w - 10 = 0. What is the third derivative of -l**6 + 3*l**w - 5*l**2 + 2*l**3 - 2*l**3 wrt l?
-120*l**3
Let l = -7 + 11. Find the third derivative of d**2 - 7*d**l + 8*d**4 - 2*d**2 wrt d.
24*d
Let r(z) = -8*z**2 - 8*z. Let k(l) = -105*l**2 - 105*l. Let j(h) = 3*k(h) - 40*r(h). What is the second derivative of j(v) wrt v?
10
Let n(t) be the second derivative of -3*t**5/20 - 7*t**3/6 + t. What is the second derivative of n(j) wrt j?
-18*j
Suppose 5*o - 3*o - 12 = 0. Suppose -o = u - 2*u. What is the third derivative of u*w**3 - w**3 - 2*w**2 - 9*w**3 wrt w?
-24
Suppose -6*z - 6 + 18 = 0. Suppose 2*f = 5*y - 11, 4*y = -y + 15. What is the second derivative of 2*t**z - 2*t - t**2 + 0*t**f wrt t?
2
Let b(u) be the second derivative of -17*u**4/4 - 53*u**2/2 + 3*u + 14. What is the derivative of b(n) wrt n?
-102*n
Find the third derivative of -49 + 6 + 9*v**2 + 5 - 6*v**5 - 10*v**2 wrt v.
-360*v**2
Let k(r) = -r**3 - r**2 - r + 1. Let z(y) = -23*y**5 - 3*y**3 - 3*y**2 + 6*y + 3. Let x(m) = 3*k(m) - z(m). Find the second derivative of x(n) wrt n.
460*n**3
Let v(i) = -24*i**3 - 13*i**2 + 5*i - 5. Let u(h) = -12*h**3 - 6*h**2 + 2*h - 2. Let f(g) = 5*u(g) - 2*v(g). What is the third derivative of f(q) wrt q?
-72
Let q(b) be the third derivative of b**9/756 + b**6/90 + b**3 - 5*b**2. Let t(i) be the first derivative of q(i). What is the third derivative of t(s) wrt s?
240*s**2
Let m(k) be the first derivative of 20*k**3/3 - 14*k**2 - 35. Find the second derivative of m(z) wrt z.
40
Let q(w) be the third derivative of w**6/20 + 5*w**3/6 + w**2. Differentiate q(s) with respect to s.
18*s**2
Let b(k) be the first derivative of -2*k**5/5 - 11*k**4/2 + 3*k**2 - 3*k + 48. What is the second derivative of b(j) wrt j?
-24*j**2 - 132*j
Let x(h) = -12*h**3 - 3*h**2 + 7. Let u(g) = 23*g**3 + 5*g**2 - 14. Let f(y) = 3*u(y) + 5*x(y). Differentiate f(r) with respect to r.
27*r**2
Let k(i) be the first derivative of -3*i**5/5 - 3*i - 6. Find the first derivative of k(n) wrt n.
-12*n**3
Let f(p) = 6*p**2. Let r(b) = -b**2 - b. Let o(x) = -f(x) + 12*r(x). What is the second derivative of o(w) wrt w?
-36
Find the second derivative of -19*k**2 + 19*k**2 - 3*k**4 + 2*k**4 - 7*k wrt k.
-12*k**2
Let d(h) = 5*h**2 - 9. Let w(z) = 5 + 16*z - 3*z**2 - 16*z + 0. Let r(u) = -2*d(u) - 5*w(u). What is the first derivative of r(q) wrt q?
10*q
Suppose 0 = u + 2*u - 15. Suppose 3*k - 9 = 0, -u*z = -3*k - 2 + 11. What is the third derivative of z*i**6 - i**2 + 4*i**6 - 3*i**6 wrt i?
120*i**3
Let m(t) = t**6 + t**3 - t**2 + t + 1. Let q(w) = -3*w**6 - 4*w**3 + 17*w**2 - 4*w - 4. Let g(r) = 4*m(r) + q(r). What is the third derivative of g(z) wrt z?
120*z**3
Suppose -13 = -4*m + 3. What is the third derivative of -2*z**m + 0*z + 0*z - 3*z**2 + 4*z**2 wrt z?
-48*z
Let q(m) be the second derivative of m**4/6 + 11*m**3/6 + 17*m. Find the second derivative of q(a) wrt a.
4
Let r(k) be the third derivative of -k**5/15 + k**4/8 - 2*k**2. What is the second derivative of r(s) wrt s?
-8
What is the second derivative of 24*n - 33*n**5 - 4030 + 4030 wrt n?
-660*n**3
Let z(o) be the first derivative of 4*o - 4*o - 3*o - 2*o**2 + 9*o + 1. Differentiate z(g) wrt g.
-4
Let l(a) be the third derivative of 0 - 1/60*a**6 + 0*a**4 + 0*a**3 + 0*a - 1/30*a**5 - 3*a**2. What is the third derivative of l(v) wrt v?
-12
Let r be ((-18)/(-12))/(3/4). What is the second derivative of 3*s + 11*s**2 - 7*s**r + 5*s wrt s?
8
Let v(u) be the first derivative of -u**5/10 + u**3/6 - u**2 - 3. Let l(b) be the second derivative of v(b). Differentiate l(t) with respect to t.
-12*t
Let k be -28*((-6)/(-4))/(-3). Suppose 0 = 4*c - 3*y - k, -4*y + 1 = 9. Find the third derivative of 3*m**2 - m**5 - 2*m**2 + 2*m**c + 2*m**5 wrt m.
60*m**2
Suppose 0*o - o + 7 = -p, 3*p = -15. Suppose u + 4 = o*u. Find the second derivative of -i - 2*i + 5*i + i**u + 2*i**4 wrt i.
36*i**2
Let h = 24 - 13. Let k = h + -8. Find the second derivative of -k*p + 2*p**2 + 0*p + 5*p wrt p.
4
What is the third derivative of -174 + 174 - 26*y**5 + 36*y**2 wrt y?
-1560*y**2
Let i(k) be the first derivative of -k**6/24 - k**5/30 - 3*k**2/2 - 2. Let t(w) be the second derivative of i(w). Find the third derivative of t(n) wrt n.
-30
What is the third derivative of -x**2 + x**2 - 5*x**5 + 4*x**2 wrt x?
-300*x**2
Suppose 5*c = -z + 12, -2*z - 3*z = -c - 8. Find the first derivative of 5 + z + u**2 + 6*u**2 wrt u.
14*u
Let j = 53 + -47. Let o(x) be the second derivative of -1/10*x**j + 0*x**3 + 1/2*x**2 - 2*x + 0*x**4 + 0*x**5 + 0. Differentiate o(r) wrt r.
-12*r**3
Find the second derivative of -23*t - 711*t**2 + 711*t**2 - 8*t**5 wrt t.
-160*t**3
Suppose -1 = -2*k + 2*j - j, -3*k + 5*j - 9 = 0. Let c(r) be the first derivative of -2*r - k*r**2 - 1 + r**2 + 0. Differentiate c(x) wrt x.
-2
Let c = -29 + 32. Let j(f) be the second derivative of -3*f + 1/12*f**4 + 0 + 1/30*f**