t is the derivative of -6 - 27*w**2 - 1 + 15 wrt w?
-54*w
Let v(u) be the second derivative of -1/15*u**6 + 1/3*u**3 + 0*u**2 + 0 - u + 0*u**4 + 0*u**5. Find the second derivative of v(t) wrt t.
-24*t**2
Find the third derivative of -12*m**2 - 48*m**4 - 6*m**2 + 30*m**4 wrt m.
-432*m
Let a(z) = 28*z**2 - 41*z - 8. Let m(o) = 9*o**2 - 14*o - 3. Let y(w) = -3*a(w) + 8*m(w). Find the second derivative of y(d) wrt d.
-24
Let j(g) be the third derivative of 0 + 0*g**5 + 2*g**2 + 1/8*g**4 + 0*g**6 + 0*g**3 + 1/70*g**7 + 0*g. Find the second derivative of j(c) wrt c.
36*c**2
Let q(f) = -f**2 + 6*f - 3. Let l be q(5). What is the second derivative of 0*k - 5*k**l + 0*k**2 + 4*k wrt k?
-10
Let s(v) be the second derivative of v**8/1120 - v**7/1260 - v**4/4 - 4*v. Let u(d) be the third derivative of s(d). Find the third derivative of u(a) wrt a.
36
What is the third derivative of 4*t**2 + 6*t**3 - 14*t**2 - 10*t**3 wrt t?
-24
Let m(j) be the second derivative of -j**10/6048 - j**6/720 - j**4/12 + 2*j. Let h(r) be the third derivative of m(r). Find the second derivative of h(s) wrt s.
-100*s**3
Let n = 2 - 12. Let y = n - -15. Differentiate 11 - y + 4*d**4 - 9 wrt d.
16*d**3
Let f(c) = -c**3 + c**2 - c - 6. Let j be f(0). Let m be 2/j - 48/(-9). Differentiate 0 + h**3 - m + 4 with respect to h.
3*h**2
Let w(f) be the first derivative of 11*f**6/6 - 3*f**2 - 12. What is the second derivative of w(z) wrt z?
220*z**3
Let o(n) = -n**2 - 8*n - 5. Let h be o(-7). Suppose 5*b + 6 = 4*g - 7, 5*g - 2*b = 12. What is the first derivative of -3*j - j + h + g*j wrt j?
-2
Suppose 18 = 3*u - 0*u. Let b be 3*2*4/u. Find the third derivative of -b*x**3 - x**2 - 2*x**2 + x**2 + 7*x**3 wrt x.
18
Let l be (8/12*-6)/(-2). Find the second derivative of 25*d + d**2 - 10*d**l - 30*d wrt d.
-18
Let j(d) be the third derivative of d**4/12 + 11*d**3/6 + 29*d**2. What is the first derivative of j(t) wrt t?
2
What is the third derivative of 23*q**4 - 13*q**4 + 9*q**2 - 11*q**4 + 4*q**2 wrt q?
-24*q
Suppose 3*i - 5*s - 2 = 16, -3*s = 4*i + 5. Let t = 3 + i. Differentiate u**t - 3 + 3*u**4 - 7*u**4 wrt u.
-12*u**3
Let z(j) = j**5 + j**3 + j**2 + 1. Let v(k) = 14*k**5 + 2*k**3 + 9*k**2 + 2. Let g(l) = v(l) - 2*z(l). Find the third derivative of g(t) wrt t.
720*t**2
Let f(b) = -6*b**2 + 7 + 2*b**3 - 2 + 15*b**2. Let d(x) = x**3 + 4*x**2 + 2. Let r(s) = -9*d(s) + 4*f(s). Find the first derivative of r(k) wrt k.
-3*k**2
Let j(w) = 16*w**3 + 2*w**2 - 3*w. Let r(g) = -65*g**3 - 9*g**2 + 11*g. Let p(t) = 9*j(t) + 2*r(t). Find the second derivative of p(u) wrt u.
84*u
Let k(u) be the second derivative of 9*u**5/20 - 5*u**2/2 + 4*u. What is the first derivative of k(z) wrt z?
27*z**2
Differentiate 27*t + 10*t - 21 - 12*t + 5 with respect to t.
25
Let q(m) be the second derivative of 0*m**2 + 0 + 0*m**4 + 1/2*m**3 + 3/20*m**5 + 4*m. What is the second derivative of q(l) wrt l?
18*l
Let c(x) be the third derivative of x**8/672 + x**5/120 - x**4/4 - 10*x**2. Let u(p) be the second derivative of c(p). What is the derivative of u(i) wrt i?
30*i**2
Suppose 0*f = f - 3. Find the first derivative of 0*w**f + 5*w**3 - 2*w**3 - 3 wrt w.
9*w**2
Suppose p + p = 2*o + 6, -5*o + 33 = 3*p. Find the second derivative of 2*v - 4*v**5 + 3*v + p*v**5 wrt v.
40*v**3
Suppose 4*r = -4*j - r + 16, 0 = 2*j + r - 8. Find the third derivative of 19*f - 2*f**2 - 3*f**j - 19*f wrt f.
-72*f
Find the second derivative of -4*f**3 - 3*f - 4 + 4 + 0*f**3 wrt f.
-24*f
Let w(o) be the first derivative of -6*o**5/5 + 6*o + 2. Find the first derivative of w(q) wrt q.
-24*q**3
Let m(u) = 2*u + 4. Let x(b) = 2*b + 5. Let q(o) = o + 11. Let i be q(-8). Let s = 0 - i. Let f(g) = s*m(g) + 2*x(g). Differentiate f(j) with respect to j.
-2
What is the first derivative of -43*a - 37*a - 53 + 30*a wrt a?
-50
Find the third derivative of 5*n**2 + 288*n**3 + 12*n**2 - 277*n**3 wrt n.
66
Find the second derivative of 14*v**2 - 4*v**4 - 12*v**2 - 2*v**2 + 2*v wrt v.
-48*v**2
What is the first derivative of 9*c**2 - 24*c - 16 + 40*c - 16*c wrt c?
18*c
Let q(c) be the third derivative of -c**6/15 + c**3/2 - 2*c**2. What is the derivative of q(u) wrt u?
-24*u**2
Let x(p) be the second derivative of p**9/5040 - p**5/120 - p**4/6 - p. Let z(u) be the third derivative of x(u). Differentiate z(t) with respect to t.
12*t**3
Let y(w) be the second derivative of w**8/336 + w**6/90 + w**3/3 + 4*w. Let p(n) be the second derivative of y(n). Find the third derivative of p(i) wrt i.
120*i
Let s(t) = -1. Let q(g) = 2*g**3 + g**2 + 45. Let u(x) = -q(x) + 4*s(x). What is the first derivative of u(j) wrt j?
-6*j**2 - 2*j
Let n(v) = -3*v + 1 - 12 + 2 + 6*v. Let i(u) = -u + 3. Let b(x) = 8*i(x) + 3*n(x). Find the first derivative of b(d) wrt d.
1
Suppose 5*y + 8 = 4*u, -5*y = -y + 5*u - 10. Find the second derivative of 0*d + y*d**5 - 2*d**5 - 2*d wrt d.
-40*d**3
Let u = 0 + -1. Let k = 2 - u. What is the first derivative of -4 + 0 + 2*q**2 + k wrt q?
4*q
Suppose -a + 3*a - 26 = 0. Suppose 3*n - 21 = -3*c, 3*c - a = -c - n. What is the third derivative of 3*h**4 + c*h**2 - h**4 + 0*h**2 wrt h?
48*h
Let c(i) be the second derivative of 5*i**4/12 + 21*i**2/2 - 6*i. What is the first derivative of c(d) wrt d?
10*d
Let u be 2 + 3/3*2. Let g(x) = 2*x**2 + 7*x - 4. Let c(d) = d - 1. Let n(a) = u*c(a) - g(a). Find the second derivative of n(v) wrt v.
-4
What is the derivative of -12 + 29 - 14 - 9*k**2 wrt k?
-18*k
Let m(i) = i**2 + 4*i - 3. Let h be m(-5). Differentiate -5 + 2*w**3 + h + 2 with respect to w.
6*w**2
What is the second derivative of -1 + 1 - 19*s + 3*s - 7*s**2 wrt s?
-14
Let y = 1 + 1. Find the second derivative of -p**2 + y*p - 3*p**3 + p**2 + 4*p**3 wrt p.
6*p
Let p = 6 - 4. Let r(u) be the second derivative of 0 + p*u - 1/3*u**3 + u**2. What is the first derivative of r(c) wrt c?
-2
Suppose 2*i = 2 + 4. Suppose 3 = -3*m + 12. Differentiate 2 + 1 + i*r**3 + 0*r**m - 2*r**3 with respect to r.
3*r**2
Let z = 30 - 26. Let u(s) be the second derivative of -1/2*s**2 + 0 + 1/6*s**3 - z*s. Differentiate u(l) with respect to l.
1
Let s(f) = -f**4 - f**2 - f. Let i(x) = 9*x**4 + 5*x**2 + 5*x + 7. Let z be 3/(-4*6/(-8)). Let g(k) = z*i(k) + 5*s(k). What is the derivative of g(l) wrt l?
16*l**3
Let c(n) be the third derivative of -n**8/6720 + n**6/240 + n**5/30 + n**2. Let w(v) be the third derivative of c(v). What is the derivative of w(g) wrt g?
-6*g
Let v = -4 + 10. What is the first derivative of 2*h - 1 - 2 + v wrt h?
2
Let f(n) be the second derivative of 7*n**6/30 - n**3/3 - 2*n. What is the second derivative of f(g) wrt g?
84*g**2
Find the third derivative of -12*f + 25*f**3 - 32*f**2 + 12*f - 6*f**2 wrt f.
150
Let m(d) be the second derivative of -d**8/280 - d**5/20 + 5*d**3/6 - 4*d. Let z(g) be the second derivative of m(g). Find the second derivative of z(p) wrt p.
-72*p**2
Let f(a) be the first derivative of a**4/4 - a**3/3 + 7. What is the third derivative of f(u) wrt u?
6
Suppose 2*j = -2*j. Suppose j*g + 5*g = 10. Find the third derivative of r**2 - r**g - 3*r**2 - 3*r**5 wrt r.
-180*r**2
Let a(f) be the first derivative of 3*f**5/5 - 4*f + 16. Differentiate a(m) wrt m.
12*m**3
Let f(k) be the second derivative of -37*k**5/20 - 11*k**4/4 + 43*k. Find the third derivative of f(o) wrt o.
-222
What is the third derivative of -2*x**2 - 2*x**2 + 8*x**2 - 3*x**4 + 2*x**2 wrt x?
-72*x
Let u(n) be the first derivative of n**6/6 + 16*n**3 - 27. Find the third derivative of u(f) wrt f.
60*f**2
What is the third derivative of -6*a**3 + 22*a**2 - a**3 + 7*a**3 + 7*a**6 wrt a?
840*a**3
Suppose -4 = -5*a + 3*a. What is the second derivative of -a*c - 5*c**3 + 1 - 2 + 1 wrt c?
-30*c
Differentiate -49 - 2*b**3 + 6*b**3 - 2*b**3 + 13*b**3 with respect to b.
45*b**2
Find the first derivative of -49*z**2 + 49*z**2 + 9 + 4*z**4 wrt z.
16*z**3
Let l(u) be the second derivative of -u**8/560 + u**5/40 + u**3/3 - 3*u. Let b(p) be the second derivative of l(p). Find the second derivative of b(q) wrt q.
-36*q**2
Let b(l) = l**4 + l**3 - 1. Let p = -4 + 2. Let g(h) = 2*h**3 + 8*h + 2*h**2 - 8*h - 2. Let f(y) = p*b(y) + g(y). Find the third derivative of f(q) wrt q.
-48*q
Let p(x) be the third derivative of 25*x**8/336 - 5*x**4/12 + 36*x**2. What is the second derivativ