 v(q) be the second derivative of 0*q**3 + 5*q - 1/3*q**4 + 0*q**2 + 0*q**5 + 0 - 4/15*q**6. Find the third derivative of v(b) wrt b.
-192*b
Let s(z) be the third derivative of 1/8*z**4 + z**2 + 0*z + 0 - 1/3*z**3. What is the derivative of s(r) wrt r?
3
Suppose 2*c = -4*k + 30, 0 = 6*k - 2*k - 4*c. Find the second derivative of 3*f**5 + 0*f - f**k + 4*f - 3*f wrt f.
40*f**3
Let z(j) be the second derivative of 0*j**2 - 2*j + 0*j**5 + 0 + 0*j**6 + 1/21*j**7 + 0*j**3 + 1/6*j**4. Find the third derivative of z(v) wrt v.
120*v**2
Let h(r) = 53*r**2 - 27*r + 4. Let d(t) = -1. Let x(m) = -4*d(m) - h(m). What is the second derivative of x(i) wrt i?
-106
Suppose -5*s + 6 = 3*j, s - 3 - 5 = -4*j. Find the third derivative of 0*b**2 - b**j - 9*b**4 + 9*b**4 - 6*b**5 wrt b.
-360*b**2
Let s be 1/4 - (-3)/(-12). Let q(p) be the first derivative of -2*p + 1 + s*p**2 - 1/3*p**3. What is the first derivative of q(d) wrt d?
-2*d
What is the second derivative of -8*z**2 - 11*z**2 + 31*z - 20*z wrt z?
-38
Suppose 10 = s + 4*s. What is the third derivative of -2*j**2 + s*j**5 - 50*j + 50*j wrt j?
120*j**2
Let s(k) be the second derivative of -13*k**6/30 + 19*k**2/2 - 27*k. Differentiate s(o) with respect to o.
-52*o**3
Let o be (-1 - -3)/(6/15). Suppose -5 = 3*g + 2*f - 19, f + 6 = o*g. What is the third derivative of 5*n**2 - 2*n**5 - 4*n**2 + g*n**2 wrt n?
-120*n**2
Let w(v) be the third derivative of -4*v**2 + 1/105*v**7 - 1/3*v**3 + 0*v**4 + 0 + 0*v**6 + 0*v**5 + 0*v. What is the derivative of w(t) wrt t?
8*t**3
Suppose 2*r = -2*h + 16, 3*h = 6*r - 3*r + 6. What is the second derivative of -k - k**3 + 8*k**h + k**3 wrt k?
160*k**3
Suppose -3*n + 3*y = -27, 3*n = 2*n + 2*y + 14. What is the third derivative of 7*t**n + 2 - 2 - 178*t**2 + 173*t**2 wrt t?
168*t
Let q be -1*0/(2/(-2)). Suppose -3*m - 7 + 22 = q. What is the second derivative of -8*f**3 - m*f + 3*f + 11*f**3 wrt f?
18*f
Let t(a) be the third derivative of 0*a + 1/10*a**5 + 0*a**4 + 0*a**6 + 5/336*a**8 + 0*a**7 + 4*a**2 + 0 + 0*a**3. Find the third derivative of t(b) wrt b.
300*b**2
Let o(h) be the third derivative of h**5/60 - 4*h**3/3 - h**2. What is the first derivative of o(b) wrt b?
2*b
Let k(m) be the second derivative of -1/2*m**3 + 1/2*m**2 - 2*m + 0. What is the derivative of k(o) wrt o?
-3
Let x(k) = -10*k**2 - 25. Let o(u) = -5*u**2 - 12. Let f(z) = -5*o(z) + 2*x(z). What is the derivative of f(n) wrt n?
10*n
Let a(k) be the first derivative of k**6/20 + k**5/12 - 3*k**2/2 + 6. Let c(h) be the second derivative of a(h). What is the third derivative of c(o) wrt o?
36
Let w be 10*(4 - (-36)/(-10)). Find the third derivative of f**6 - 6*f**2 - 246*f**w + 246*f**4 wrt f.
120*f**3
Suppose 4*l - 8 = -4*t, t - 3*l - 2 - 4 = 0. Let k be (-5)/(t - 0 - 4). Find the second derivative of -w - w**5 + 3*w - k*w wrt w.
-20*w**3
Suppose 3*k + 2*k = 0. Let f(u) be the third derivative of -1/120*u**6 + 0*u**5 + 0*u + k*u**3 - u**2 + 0 + 1/24*u**4. Find the second derivative of f(r) wrt r.
-6*r
Let m(l) be the third derivative of -l**6/360 + l**5/60 + l**3/2 + l**2. Let s(v) be the first derivative of m(v). What is the second derivative of s(g) wrt g?
-2
Find the second derivative of -2*y**4 + 5*y**4 - y**4 + 2*y**4 + 7*y wrt y.
48*y**2
Let x(l) be the first derivative of 2*l**3/3 + l**2 + 7. What is the second derivative of x(o) wrt o?
4
Let s(u) be the third derivative of 3*u**2 + 0 + 1/24*u**4 + 1/60*u**6 + 0*u + 0*u**5 + 0*u**3. Find the second derivative of s(c) wrt c.
12*c
Let f(l) = -6*l**4 + 6*l**2 + 4*l. Let i(p) = -6*p**4 + 7*p**2 + 3*p. Let u(h) = -3*f(h) + 4*i(h). What is the third derivative of u(o) wrt o?
-144*o
Suppose 0 = -3*s + 5*a + 1, 2*s + 5*a = 2*a + 7. Let h be 12/(-10)*20/(-8). Find the second derivative of q**2 + 6*q - q**s - h*q - q**2 wrt q.
-2
Suppose 2*m - 20 = -3*m. What is the third derivative of -10*a**4 + 8*a**m + a**2 + 2*a**2 wrt a?
-48*a
Let i(d) be the second derivative of -d**9/3780 - d**5/30 + d**4/6 + 4*d. Let l(c) be the third derivative of i(c). Find the first derivative of l(w) wrt w.
-16*w**3
Let s(y) be the third derivative of y**4/12 - 5*y**3/3 - 5*y**2. Differentiate s(w) wrt w.
2
Let c(t) be the first derivative of -7*t**4/2 - 4*t**2 + 12. What is the second derivative of c(f) wrt f?
-84*f
Let a(u) be the second derivative of -u**8/48 - u**5/30 + 7*u**2/2 + 6*u. Let h(c) be the first derivative of a(c). Find the third derivative of h(n) wrt n.
-420*n**2
Let r(b) = -32*b**3 + 3*b - 48. Let u(t) = -31*t**3 + 4*t - 48. Let a(n) = 4*r(n) - 3*u(n). Differentiate a(s) wrt s.
-105*s**2
Let l(g) be the second derivative of -23*g**8/56 + g**4/6 - 6*g. Find the third derivative of l(j) wrt j.
-2760*j**3
Let s(u) be the first derivative of 0*u**2 + 2 + 0*u**3 + 3/5*u**5 + 0*u**4 - 4*u. What is the first derivative of s(f) wrt f?
12*f**3
Let w(c) = 4*c**3 - 12*c**2 + 8*c - 12. Let n(y) = -y**2 + y - 1. Let x(m) = 12*n(m) - w(m). Find the second derivative of x(p) wrt p.
-24*p
Suppose 3*u - 4*u + 4 = 0. Let w(q) = -2*q + 7. Let a be w(3). Differentiate 2*d - u*d + a - 3 with respect to d.
-2
Let p be (6/(-4))/((-3)/(-6)). Let q be (p + (-2)/2)/(-2). Differentiate q - 3*z**4 + 0*z**4 + 3*z**3 - 3*z**3 wrt z.
-12*z**3
Let r(j) be the first derivative of -1/2*j**2 - 2/3*j**3 - 4 + 0*j. What is the second derivative of r(s) wrt s?
-4
Let b be (68 - 4)/((-4)/(-6)). Differentiate 96*k - 7 + 7*k**3 - b*k with respect to k.
21*k**2
Let o(u) = 2*u**2 - 4*u + 4. Let v be o(2). What is the first derivative of -s + 0*s + 6 + 1 - v wrt s?
-1
Let j(i) be the first derivative of i**10/1260 - i**6/90 - i**3 + 2. Let y(w) be the third derivative of j(w). Find the third derivative of y(d) wrt d.
480*d**3
Differentiate -4 + 15 + 6*w**3 - 4 wrt w.
18*w**2
Let q be (-128)/(-28) - (-6)/14. Let o(k) be the second derivative of 0*k**3 + 1/20*k**q - k + 0*k**4 + 0 - k**2. Find the first derivative of o(f) wrt f.
3*f**2
Let r(m) = -m + 1. Let s be r(-2). Suppose -3*v - 3*b = v - 19, 3*v - 3*b = 9. Differentiate -8*j**s + 2*j**v + 8*j**3 + 2 with respect to j.
8*j**3
Let j be ((-18)/4)/((-6)/8). What is the derivative of -j*h + 6*h - 6*h**3 - 4 - h**3 wrt h?
-21*h**2
Let g(m) = m**2 + 3*m - 2. Let i(j) = -j. Let d(w) = -w. Let y(u) = 5*d(u) - 4*i(u). Let c(q) = g(q) + 3*y(q). Find the first derivative of c(f) wrt f.
2*f
What is the second derivative of -34*k**4 + 2*k + 8*k - 41*k wrt k?
-408*k**2
Let c(z) = z**3 + 5*z**2 - 5*z + 5. Let k be c(-6). Let i = k - -3. Differentiate -2 - 2*x + i*x**2 + 2*x with respect to x.
4*x
Let x(o) be the second derivative of 7*o**4/12 + 7*o**3/3 + 4*o. Find the second derivative of x(a) wrt a.
14
Let b = 10 - 4. What is the third derivative of -5*o**b + 2*o**2 - 2*o**2 + 9*o**2 wrt o?
-600*o**3
What is the third derivative of 17*f**6 - 4031*f**5 + 4031*f**5 - 17*f**2 wrt f?
2040*f**3
Let l(u) = -50*u**4 - 36*u**2 - 17*u - 17. Let k(c) = 17*c**4 + 12*c**2 + 6*c + 6. Let z(y) = -17*k(y) - 6*l(y). Find the third derivative of z(q) wrt q.
264*q
Let c(h) be the second derivative of -h**6/30 + 11*h**4/12 + 6*h. What is the third derivative of c(n) wrt n?
-24*n
Suppose -8 - 4 = -3*i. Let h = -1 + i. What is the derivative of 5 + h*a**4 + 0 - 1 - 3 wrt a?
12*a**3
Let r(p) = -35*p**4 - 2*p**3 - 4*p + 2. Let q(k) = -71*k**4 - 5*k**3 - 8*k + 5. Let n(a) = 2*q(a) - 5*r(a). Find the second derivative of n(h) wrt h.
396*h**2
Suppose 5*v - 26 - 134 = 0. Find the first derivative of 1 - v*o + o**4 + 32*o wrt o.
4*o**3
Suppose -3*x - 3 = 4*l + 1, -2*l + 24 = -5*x. What is the second derivative of -2*z**4 - 2*z**4 + l*z**4 - z wrt z?
-24*z**2
Let m(p) be the first derivative of p**6/120 - p**5/40 + p**3 + 2. Let r(o) be the third derivative of m(o). What is the second derivative of r(y) wrt y?
6
What is the second derivative of 2*y**5 + 9*y + y + 6*y**5 wrt y?
160*y**3
Let n(r) be the first derivative of -10*r**5 + 58*r**3/3 + 73. Find the third derivative of n(v) wrt v.
-1200*v
Let n(k) = 10*k - 1. Let r(w) = -9*w + 2. Let i(b) = -3*n(b) - 4*r(b). Differentiate i(z) with respect to z.
6
Let z(l) be the third derivative of 0 + 0*l**4 + 0*l + 1/6*l**3 + 4*l**2 + 1/20*l**5. What is the first derivative of z(f) wrt f?
6*f
Let b(v) be the first derivative of -25*v**6/6 + 10*v**3/3