4*k
Let w(i) be the third derivative of i**8/560 + i**4/3 - i**3/2 - 5*i**2. Let c(q) be the first derivative of w(q). Find the first derivative of c(k) wrt k.
12*k**3
Let g(t) = -4*t**2 - 2*t. Let p(m) = -4*m**2 - m. Let u(v) = 4*g(v) - 3*p(v). Find the second derivative of u(l) wrt l.
-8
Let a(w) = -6*w**4 - 5*w**2 + 7*w + 5. Let n(u) = -7*u**4 - 6*u**2 + 8*u + 6. Let y(c) = 6*a(c) - 5*n(c). Find the second derivative of y(i) wrt i.
-12*i**2
Let h(b) be the third derivative of b**8/42 + b**4/6 + 4*b**2. Find the second derivative of h(x) wrt x.
160*x**3
Let u(q) be the second derivative of 9*q**5/20 + 11*q**3/6 + 5*q. Find the second derivative of u(y) wrt y.
54*y
Let n(i) = 4*i + 9. Let f(o) = 2*o + 5. Let q(g) = -9*f(g) + 4*n(g). What is the derivative of q(u) wrt u?
-2
Let q(m) = -105*m**5 + 89*m**2 - 5*m - 5. Let a(o) = -157*o**5 + 133*o**2 - 7*o - 7. Let t(d) = -5*a(d) + 7*q(d). Find the third derivative of t(i) wrt i.
3000*i**2
Let a(x) be the second derivative of 5*x**3/3 - 17*x**2/2 - 5*x. Differentiate a(u) with respect to u.
10
Differentiate g - 2 - 1 + 8 + 12 with respect to g.
1
Let w(j) = 4*j**4 - 2*j**3 - 3. Let z(g) = -2*g**2 + 3*g**3 - 5*g**4 + 2*g**2 + 3. Let p(r) = 3*w(r) + 2*z(r). Find the first derivative of p(v) wrt v.
8*v**3
Let g(y) = 4*y**5 - 4*y**4 - 4*y**3 - 7*y**2 + 4. Let k(r) = -r**4 - r**3 - r**2 + 1. Let f(u) = g(u) - 4*k(u). Find the third derivative of f(m) wrt m.
240*m**2
Let a be ((-6)/(-8))/((-5)/(-20)). What is the first derivative of a*c**2 + 4 + 0 - 3 wrt c?
6*c
Suppose 5*d = 12 - 2. What is the first derivative of -6*r**3 + d + 4*r**3 + 1 wrt r?
-6*r**2
Let b(x) be the second derivative of -x**6/3 - 9*x**2/2 + 11*x. Differentiate b(h) wrt h.
-40*h**3
Let c(a) = -a. Let d(l) = -2*l - 2. Let s(f) = -3*c(f) + 3*d(f). What is the derivative of s(w) wrt w?
-3
Suppose 5*s - 3*a = 0, 30 = 5*s - 0*s + 3*a. What is the first derivative of -4 + 4*b - 2*b - 3*b - s*b wrt b?
-4
Let y = -3 + 3. Suppose -3*g + 2*s = -6*g - 10, y = 3*g - 3*s - 15. Find the third derivative of -b**3 - 3*b**2 + g*b**3 + 2*b**2 wrt b.
-6
Let v(d) = d**3 - 8*d**2 + 7*d + 2. Let b be v(7). Let g = b - 0. Find the second derivative of g*s**2 + s**3 + s - 2*s**2 wrt s.
6*s
Suppose -4*j + 6 = 5*i - 4, -i + 2*j + 16 = 0. Suppose -4*l + 5*u = 12, u = -5*l + i*u - 10. Find the second derivative of 2*y**4 + l*y - 4*y + 3*y wrt y.
24*y**2
What is the derivative of 54*t**4 + 7 - 28*t**4 - 23*t**4 wrt t?
12*t**3
Let q(f) be the second derivative of f**3/3 - 5*f**2/2 + 6*f. What is the first derivative of q(i) wrt i?
2
Let p(k) = -k**4 - k**3 + k. Let d(m) = 12*m**4 + 2*m**2 - 3*m**4 + 6*m**3 + m**2 - 6*m. Let u(n) = d(n) + 6*p(n). What is the third derivative of u(t) wrt t?
72*t
Let i(v) be the first derivative of -v + 1/6*v**4 - 3 + 3/2*v**2 + 0*v**3. Let g(a) be the first derivative of i(a). Find the first derivative of g(r) wrt r.
4*r
Find the second derivative of -8*r**5 - 2*r**5 + 11*r**4 - 15*r - 11*r**4 wrt r.
-200*r**3
Let x(j) be the first derivative of j**3/3 - 3*j**2 + 4*j + 1. Let f be x(6). Differentiate 2*s**f - 4 + 2 + 3 with respect to s.
8*s**3
Suppose -22*n + 15 = -17*n. Let o(s) be the second derivative of 2*s + 0 - 1/3*s**n + 1/2*s**2. Find the first derivative of o(a) wrt a.
-2
Let j(h) be the first derivative of -h**5/30 + h**4/24 - 2*h**3/3 - 5. Let o(y) be the third derivative of j(y). Differentiate o(d) with respect to d.
-4
Let a(m) = -m**2 - 10*m - 9. Let f be a(-8). What is the derivative of 0*i**2 - 5 - 4*i**2 + f*i**2 wrt i?
6*i
Let k = 9 - 35/4. Let q(u) be the first derivative of 0*u - u**2 - 1 - k*u**4 + 0*u**3. What is the second derivative of q(g) wrt g?
-6*g
Suppose 0 = -5*u + u + 100. Find the third derivative of -2*q**2 - 4*q**4 - u*q + 25*q + 2*q**4 wrt q.
-48*q
Let c(l) = -2*l - 12. Let f(y) = 9 + 3*y + 3 - 4 - 2*y. Let k(i) = -5*c(i) - 8*f(i). What is the first derivative of k(x) wrt x?
2
Find the second derivative of 11*v - 18*v + 7*v**5 - 18*v wrt v.
140*v**3
Suppose 4*n = 5*f - 3 - 4, -f = 4*n - 11. Let i(k) be the first derivative of 0*k**3 - 2*k - 1/4*k**4 + 0*k**n + 3. Differentiate i(a) with respect to a.
-3*a**2
Let b(h) = -7*h**4 - 2*h**3 + 13*h - 2. Let r(y) = -6*y**4 - 3*y**3 + 13*y - 3. Let k(w) = 3*b(w) - 2*r(w). What is the second derivative of k(t) wrt t?
-108*t**2
Let i = -87 + 90. Let x(m) be the first derivative of i*m + 3 + 1/2*m**2. What is the derivative of x(p) wrt p?
1
Let v(l) be the first derivative of 4*l**7/105 + 2*l**3/3 + 5*l**2/2 - 3. Let n(i) be the second derivative of v(i). Find the first derivative of n(q) wrt q.
32*q**3
Let x(n) be the first derivative of 6/5*n**5 - 3*n**2 + 0*n + 3 + 0*n**3 + 0*n**4. What is the second derivative of x(u) wrt u?
72*u**2
Suppose 7 + 5 = 3*u, -3*u = -4*r - 12. What is the first derivative of r - 4*b**2 + 5 + 7*b**2 + 0 wrt b?
6*b
Find the first derivative of -6 + 3*l**3 - 2*l**3 - 3*l**3 + l**3 wrt l.
-3*l**2
Let i(w) = -27*w**4 - 4*w + 5. Let y(n) = -54*n**4 - 9*n + 10. Let j(s) = 9*i(s) - 4*y(s). What is the first derivative of j(q) wrt q?
-108*q**3
Let b(f) be the second derivative of -f**7/840 - f**4/24 - f**3/2 - f. Let l(d) be the second derivative of b(d). Differentiate l(u) wrt u.
-3*u**2
Suppose 5*s - 8 = 6*s. Let t = -5 - s. What is the derivative of -4*u - 2*u + t + 2*u + 7*u wrt u?
3
Let m(d) = -40*d + 13. Let q(s) = -s. Let t(u) = m(u) + 5*q(u). Find the first derivative of t(z) wrt z.
-45
What is the second derivative of n - 11*n**2 - 3 + 3*n**2 + 3 wrt n?
-16
Let v = -7 + 12. What is the second derivative of q - 3*q + 0*q + q**v wrt q?
20*q**3
Suppose 4*g - 3*m = 2*g - 7, -g - 11 = -3*m. What is the second derivative of 2*t - t - t**g - 3*t**4 wrt t?
-48*t**2
Let z(v) be the first derivative of -v**3/3 + v**2/2 + 1. What is the second derivative of z(w) wrt w?
-2
Let d(v) be the third derivative of v**5/30 - v**4/8 - 4*v**2. What is the second derivative of d(g) wrt g?
4
Let y be (2/4)/(2 - 1). Let l(i) be the first derivative of y*i**2 + 0*i + 0*i**4 + 1/3*i**6 + 0*i**5 - 2 + 0*i**3. Find the second derivative of l(g) wrt g.
40*g**3
Suppose -o = -6*o + 10. Find the second derivative of 0*z**o - 4*z**3 + 5*z - 2*z**2 + 2*z**2 wrt z.
-24*z
Let v(l) be the second derivative of -1/24*l**4 + 0 - 1/60*l**5 + 0*l**2 + 1/6*l**3 + l. Let a(b) be the second derivative of v(b). Differentiate a(c) wrt c.
-2
Suppose -2*t + 8 + 0 = 4*p, -13 = -3*p - 5*t. Let y be p - (-4 - -3)/1. What is the second derivative of 0 - r - 2*r**y - 2*r**2 + 0 wrt r?
-8
Suppose n - 6*n = 0. Find the second derivative of -4*q + 2*q**2 + 5*q + n*q wrt q.
4
Let z(h) = -2*h**2 + 4*h - 5. Let l(a) = a**2 - a + 1. Let r(c) = 3*l(c) + z(c). Let b(f) be the first derivative of r(f). What is the derivative of b(u) wrt u?
2
Find the second derivative of -18*y**2 + 2*y + 4*y + 29*y**2 wrt y.
22
Suppose -6*q + 9 = -3*q. Differentiate 6 - 3 + q + 4*v**3 with respect to v.
12*v**2
Let y be ((-6)/5)/((-2)/20). Find the first derivative of 4 - 7*n**2 - y + 0 wrt n.
-14*n
What is the first derivative of -12 + 19*p**3 - 1887*p**2 + 1887*p**2 wrt p?
57*p**2
Let j be 72/20 - 2/(-5). Let g(w) = 5*w**2 + 3*w. Let f(o) = -14*o**2 - 8*o. Let a(x) = j*f(x) + 11*g(x). What is the second derivative of a(y) wrt y?
-2
Let w be (0 + 1/2)*1. Let z(j) be the second derivative of j + w*j**2 - 1/12*j**4 + 0*j**3 + 0. Differentiate z(d) wrt d.
-2*d
Let m(h) = h - 3. Let v(w) = -w + 1. Suppose -2 = 5*z + 3. Let x(b) = z*m(b) - 2*v(b). Differentiate x(c) wrt c.
1
Find the third derivative of -23*h**2 - 265 + 7*h**3 - 2*h**4 + 265 wrt h.
-48*h + 42
Let i(s) = -3*s**2 + 3*s + 1. Let y(u) = -u. Let n(h) = -i(h) - 3*y(h). Differentiate n(k) wrt k.
6*k
Let a(t) be the second derivative of 21*t**5/20 + 17*t**2 + 3*t + 3. Differentiate a(o) wrt o.
63*o**2
Suppose -2*j + 10 + 10 = 0. Suppose 6*m = m + j. Find the second derivative of 2*d**5 + d - d + m*d + 0*d**5 wrt d.
40*d**3
Let o(y) = y - 3*y**2 + 21*y**3 - 6*y - 3*y. Let w(n) = -7*n**3 + n**2 + 3*n. Let g(j) = -3*o(j) - 8*w(j). What is the third derivative of g(f) wrt f?
-42
Suppose 0 = 2*d - k - 4*k - 20, 0 = 3*d + k - 13. What is the third derivative of l - l - 4*l**d + 0*l**2 - 3*l**2 wrt l?
-240*l**2
Let w be (2*1)/(16/32). What is the first