r**2
Let v(m) = 3*m**4 - 9*m**3 - 9*m**2 - 12*m + 9. Let p(l) = l**3 + l**2 + l - 1. Let h(k) = -18*p(k) - 2*v(k). Find the second derivative of h(w) wrt w.
-72*w**2
Suppose -21 = -6*k + 3. Find the third derivative of 6*a**2 - k*a + 10*a**3 + 4*a - 4*a**2 wrt a.
60
Let f = -9 - -12. Let p(h) be the second derivative of -2*h + 1/15*h**6 - 1/4*h**4 + 0*h**2 + 0*h**f + 0*h**5 + 0. What is the third derivative of p(r) wrt r?
48*r
Let y(c) = c**3 + 3*c**2 - 6*c - 5. Let j be y(-4). Suppose -4*l = -0*l - 8. Find the third derivative of l*d**2 + j*d**3 - d**2 - 3*d**2 wrt d.
18
Let w(j) = -6*j**2 + 4*j. Let c(p) = -23*p**2 + 16*p. Let l(y) = 6*c(y) - 22*w(y). What is the second derivative of l(i) wrt i?
-12
Let m = 4 + -4. Let z(n) = n**2 + n + 2. Let t be z(m). What is the third derivative of 2*p**4 - 5*p**3 + 5*p**3 + p**t wrt p?
48*p
Let g(v) be the second derivative of 11*v**5/10 + 23*v**2/2 - 26*v. Differentiate g(u) wrt u.
66*u**2
Let g(a) be the second derivative of a**9/1008 + a**6/120 - 2*a**3/3 + 2*a. Let l(y) be the second derivative of g(y). Find the third derivative of l(h) wrt h.
180*h**2
Let m(i) be the first derivative of -4 + 0*i + i**2 + 4/3*i**3. Find the second derivative of m(k) wrt k.
8
Suppose -1 = -s + 3. Find the first derivative of 3 - 2*k**s + 0 + 3*k**4 wrt k.
4*k**3
Suppose -z - 2*i = -3, -5*z - 3*i + 12 + 3 = 0. Find the second derivative of -z*l**5 + 73 + 4*l - 73 wrt l.
-60*l**3
What is the second derivative of -19 + 102*w**2 - w - 102*w**2 + 29*w**5 wrt w?
580*w**3
Let u(n) be the first derivative of -n**6/40 - 7*n**5/60 + n**2 + 5. Let q(j) be the second derivative of u(j). Find the third derivative of q(k) wrt k.
-18
Suppose 0*o + 2*g + 16 = 2*o, 4*o - 17 = -g. What is the second derivative of 7*w**4 + w - 18*w**4 + o*w**4 - 4*w wrt w?
-72*w**2
What is the first derivative of 9 + 2*z - 3*z + 4*z**4 - 8*z**4 + 13 wrt z?
-16*z**3 - 1
Find the third derivative of -2*w**4 + 6*w**4 + 7*w**2 + 4*w**4 wrt w.
192*w
Let y(w) = -w**3 - 9*w**2 + 6. Let v be y(-9). Differentiate v - 9*z**4 + 0 + 4*z**4 - 2 with respect to z.
-20*z**3
Suppose -r + 9 = 2*r. Let q be 2 + 3/(-9)*-3. What is the first derivative of 3*y**3 - 1 - 4*y**r + 0*y**q wrt y?
-3*y**2
Let f be (5/(-15))/(2/(-12)). Let o = f + 2. What is the first derivative of 3*n**o + 2 + 0*n**4 - 5*n**4 wrt n?
-8*n**3
What is the derivative of -3*p**3 - 72 + 96 - p + p wrt p?
-9*p**2
Let v(p) be the third derivative of -p**8/56 + 7*p**4/24 - p**2. What is the second derivative of v(a) wrt a?
-120*a**3
Suppose -3*w = 11 + 4. Let m(x) = -2*x**4 - 6*x. Let h(c) = -4*c**4 - 12*c. Let r(g) = w*m(g) + 2*h(g). What is the second derivative of r(f) wrt f?
24*f**2
Find the third derivative of 7*y**2 + 1 - y**2 - 1 + 4*y**3 wrt y.
24
What is the second derivative of -38*i**5 - 5*i**3 - 22*i + 5*i**3 wrt i?
-760*i**3
Let h(p) = 7*p - 1. Let k(x) = 20*x - 3. Let z(m) = -7*h(m) + 2*k(m). What is the first derivative of z(t) wrt t?
-9
Let p(s) = s**2 + 18*s + 3. Let o(h) = -h**2 - 17*h - 2. Let n(c) = 3*o(c) + 2*p(c). Find the second derivative of n(b) wrt b.
-2
Suppose 2*x + 10 = 5*l - 3*l, 2*l - x - 7 = 0. Suppose -4 = -4*g + 4*n, -3*n = -l*g - 0 - 2. Differentiate -g + 0 - v**3 + 6 with respect to v.
-3*v**2
Let v(a) be the third derivative of 0 + 0*a**4 + 0*a**3 - 1/60*a**6 + 0*a + 2/15*a**5 + a**2. What is the third derivative of v(c) wrt c?
-12
Let r = 1 - 0. Differentiate -1 - 4*s + 3 + r wrt s.
-4
Let i(l) = -2*l**3 - 10*l - 7. Let g(y) = y**3 + 5*y + 4. Let w(m) = 7*g(m) + 4*i(m). Find the second derivative of w(t) wrt t.
-6*t
What is the third derivative of 5*q**2 + 54*q**4 - 12*q**2 - 27*q**2 wrt q?
1296*q
Let i(u) = -3*u**4 + 2*u**3 - 6*u**2 + 2. Let r(v) = 4*v**4 - 3*v**3 + 7*v**2 - 3. Let a(p) = 3*i(p) + 2*r(p). Find the third derivative of a(t) wrt t.
-24*t
Find the second derivative of -29*v**3 + 29*v**3 + 2*v + 10*v**5 wrt v.
200*v**3
Let u(s) = s**6 + 4*s**4 + 4*s**3 + 13*s**2. Let p(l) = l**4 + l**3. Let r(q) = -4*p(q) + u(q). What is the third derivative of r(f) wrt f?
120*f**3
Let w(u) = -3*u**4 + 2*u**3 - 3*u**2 - 2. Let c(z) = z**4 + z**3 - 1. Let t(i) = 6*c(i) - 3*w(i). What is the third derivative of t(k) wrt k?
360*k
Let v be 1/(-2 + 3) - -2. Suppose 4*b - 20 = n, -3*n = 2*b - n. What is the first derivative of y**b + y**4 - 3*y**2 + v*y**2 + 1 wrt y?
8*y**3
Differentiate 19*b**4 - 12*b**2 + 5*b**2 + 7*b**2 - 20 with respect to b.
76*b**3
Let t(p) be the third derivative of -p**8/56 + p**4/6 + 12*p**2. Find the second derivative of t(l) wrt l.
-120*l**3
What is the second derivative of 396*j - 203*j + 4*j**3 - 166*j wrt j?
24*j
Let d(t) = -2*t. Let b be 3/(-6)*4/2. Let g be d(b). Find the third derivative of m**g + m**2 - 8*m**3 + 7*m**3 wrt m.
-6
Let s(b) = 3*b**2 - b - 1. Let f be s(-1). Suppose -4*k + 28 = -4*n, k - 5 = -3*n - 6. What is the third derivative of -3*t**2 + k*t**2 + f*t**5 - 2*t**5 wrt t?
60*t**2
Let h(i) be the first derivative of -7*i**4/2 - 23*i + 18. Differentiate h(x) with respect to x.
-42*x**2
Let q(s) = -s**2 - s. Let l(a) = -8*a**3 - a**2 + a. Let t(m) = 2*l(m) - 2*q(m). Find the second derivative of t(f) wrt f.
-96*f
Let m(r) = 7*r**5 - 4*r**3 + 3*r**2. Let a(g) = -g**3. Let h(v) = 4*a(v) - m(v). What is the third derivative of h(s) wrt s?
-420*s**2
Let c(n) = n**3 + 6*n**2 - 6*n + 9. Let r be c(-7). Find the first derivative of 2*y - r*y - y + 5 + 4*y wrt y.
3
Let d(k) = 22*k**4 + 2*k**3 + 5*k. Let t(i) = -23*i**4 - 3*i**3 - 6*i. Let w(f) = 3*d(f) + 2*t(f). Find the second derivative of w(c) wrt c.
240*c**2
Let j(k) be the first derivative of 0*k - 5/2*k**2 - 5/3*k**3 + 2. Find the second derivative of j(i) wrt i.
-10
Let h(t) be the first derivative of 5*t**4/4 - 5*t**2 - 10. Find the second derivative of h(g) wrt g.
30*g
Suppose 3*l + 3 = 0, -5*w - l + 15 + 14 = 0. Differentiate w*u**4 + 3*u + 4 - 3*u - 3 with respect to u.
24*u**3
What is the second derivative of 8*y**2 + 48*y + 81*y**3 + 6*y**2 - 80*y**3 wrt y?
6*y + 28
Differentiate 3*l - 8 + 22*l**2 - 3*l - 17*l**2 with respect to l.
10*l
Let n(o) be the first derivative of o**7/14 - o**3/3 + 2*o + 3. Let g(h) be the first derivative of n(h). Find the second derivative of g(l) wrt l.
60*l**3
Let f(r) = -r + 4. Let v be f(0). Let x = 6 - v. What is the second derivative of 0*w - x*w**2 + w**2 + w wrt w?
-2
Let i be (-3)/12 + (-26)/(-8). Let p = -3 + 5. Find the third derivative of 2*h + 2*h**i + p*h**2 - 2*h wrt h.
12
What is the second derivative of -11*b - 13*b - 11*b - 10*b**5 - 14*b**5 wrt b?
-480*b**3
What is the third derivative of -22*p**4 - 17*p**2 + 3*p**2 + 39*p**4 wrt p?
408*p
Differentiate 3*l + 2*l + 3*l + 5 wrt l.
8
Let c(d) = d**3 + 3*d**2 + 3. Let g be c(-3). Find the second derivative of 5*m**3 - 5*m + 5*m**g - 2*m**3 - 3*m**3 wrt m.
30*m
Find the third derivative of 4*s**2 - 5*s**3 + 12*s**3 + 16*s**2 wrt s.
42
Find the third derivative of -3*l**6 + 8*l**2 - 23*l**3 + 23*l**3 wrt l.
-360*l**3
Suppose 2*t + 3*t = 15. Let n(s) = s - 2. Let l be n(t). Find the first derivative of 2*m**3 + l - 1 + 2 wrt m.
6*m**2
Let h = 15 - 6. Suppose -5*p - f + 29 = 0, -f = 2*p - 5 - h. What is the second derivative of -p*v - v**3 - v**3 + 3*v wrt v?
-12*v
Let f(k) = -k**4 + k**3 + k**2 - k - 1. Let c(j) = 5*j**4 - 4*j**3 - 4*j**2 - 2*j + 4. Let s(r) = -c(r) - 4*f(r). What is the second derivative of s(l) wrt l?
-12*l**2
Let c(a) = 4*a**2 + 50*a - 49. Let g(x) = -x**2 + x + 1. Let q(j) = c(j) + 3*g(j). What is the derivative of q(y) wrt y?
2*y + 53
Let q(a) be the second derivative of -a**7/6 - 5*a**3/6 - 14*a. Find the second derivative of q(x) wrt x.
-140*x**3
Let o(d) be the first derivative of d**7/280 - d**4/24 + d**3/3 - 1. Let f(g) be the third derivative of o(g). What is the first derivative of f(k) wrt k?
9*k**2
Let w(h) = h**3 + 21*h**2 + 49*h - 6. Let f(k) = k**3 + 21*k**2 + 49*k - 5. Let g(l) = 6*f(l) - 5*w(l). Find the second derivative of g(v) wrt v.
6*v + 42
Let f(c) = -24*c**3 - 28*c**2 - 5*c. Let x(z) = 25*z**3 + 29*z**2 + 6*z. Let o(t) = 6*f(t) + 5*x(t). What is the third derivative of o(q) wrt q?
-114
Let j(i) = -3*i**5 + 4*i + 3. Let u(t) = -4*t**5 + 4*t + 2. Let q(y) = -2*j(y) + 3*u(y). What is the second derivative of q(w) wrt w?
-120*w**3
Find the thi