et u(a) = a**3 + a**2 - a + 1. Let y(x) = x**4 - 3*x**2 + 4*x**2 - 7*x + 6*x + x**3. Let m(s) = u(s) - y(s). Find the first derivative of m(o) wrt o.
-4*o**3
Let u(q) = 24*q**4 - 15*q**3 - 15*q**2 - 9*q + 15. Let h(b) = b**4 - b**3 - b**2 + 1. Let c(l) = -15*h(l) + u(l). Find the second derivative of c(y) wrt y.
108*y**2
Find the second derivative of 5*a**2 - 365*a + 372*a + 0*a**2 wrt a.
10
Suppose -5 + 0 = -5*w, 5*d - 2*w - 28 = 0. Let n(q) = q - 1. Let p(v) = 3*v - 5. Let o(u) = d*n(u) - p(u). What is the first derivative of o(a) wrt a?
3
What is the derivative of 10 + 177*z - 177*z + 15*z**2 wrt z?
30*z
Let t(d) be the second derivative of 0*d**5 - 1/10*d**6 + 0 + 3/2*d**2 - d + 0*d**3 + 0*d**4. Differentiate t(s) with respect to s.
-12*s**3
Find the first derivative of -711*f**2 - 25 + 711*f**2 + 3*f**4 - 44*f**4 wrt f.
-164*f**3
Suppose 5*b + 5 = r, 0 = 2*b + 2. Find the third derivative of -43*a**3 + r*a**2 + 4*a**2 + 53*a**3 wrt a.
60
Let d(f) = -4*f**2 + 6*f + 9. Let h(o) = -o**2 + o. Let g(q) = d(q) - 6*h(q). Differentiate g(t) with respect to t.
4*t
Suppose -3*f - 10 = r, -r - 2*f - 2 = -f. Find the third derivative of 0*t**2 - 3*t**r + t**2 + 2*t**3 + 0*t**3 wrt t.
12
Let k = -46079/60 - -768. Let x(f) be the third derivative of 0*f**5 + 0 - k*f**6 + 0*f - 4*f**2 + 0*f**4 + 1/3*f**3. Differentiate x(v) with respect to v.
-6*v**2
Suppose -8 = 10*w - 28. Let v(y) be the second derivative of y + 0 - 1/12*y**4 + y**w + 0*y**3. Differentiate v(j) with respect to j.
-2*j
Let z = 0 + 1. Let a(u) = 3*u**3 + u**2 - u - 2. Let k(y) = -y**2 + y. Let s(m) = z*k(m) + a(m). What is the derivative of s(x) wrt x?
9*x**2
Let q be (-2)/7 + 4/14. Suppose q*x = 2*x - 2. Find the first derivative of 2 + z - 1 + x wrt z.
1
What is the third derivative of 14*p**4 + 14*p**2 + 3*p**4 + 9*p**2 + 4*p**4 wrt p?
504*p
Let t(v) be the first derivative of -2*v**3/3 - 10*v**2 + 6. Find the second derivative of t(i) wrt i.
-4
Let f(v) be the third derivative of 2*v**9/63 - v**5/10 + v**4/24 - 28*v**2. What is the third derivative of f(x) wrt x?
1920*x**3
Suppose -5 + 9 = 2*p. Find the third derivative of -2*a**4 - 6*a**2 + p*a**2 - 2*a**4 wrt a.
-96*a
Let l(y) be the third derivative of -y**7/14 + 4*y**3 + y**2. What is the derivative of l(w) wrt w?
-60*w**3
Let r(q) be the third derivative of -4*q**2 + 0*q**6 + 0*q + 0*q**7 + 0*q**3 + 0 + 1/20*q**5 + 0*q**4 + 1/84*q**8. What is the third derivative of r(k) wrt k?
240*k**2
Suppose -7*y - 10 = -12*y. Let v(k) be the third derivative of -1/3*k**3 + 1/12*k**4 + k**y + 0*k + 0. Find the first derivative of v(j) wrt j.
2
Let l(x) be the first derivative of -x**3/3 + 3*x**2 - x - 3. Let b(n) = -n**2 + 7*n - 1. Let p(w) = 6*b(w) - 7*l(w). Differentiate p(j) with respect to j.
2*j
Let y(a) be the second derivative of a**6/30 + 3*a**5/20 + 5*a**2 + a. Let c(f) be the first derivative of y(f). Find the third derivative of c(j) wrt j.
24
Let t(k) = k + 2. Let q(a) = 10*a + 64. Let c(j) = -q(j) + 5*t(j). What is the derivative of c(m) wrt m?
-5
Suppose h = 1 + 1. What is the second derivative of u**4 - 3*u - h*u - 3*u**4 + u wrt u?
-24*u**2
Let w(s) = -s**4 - 2*s**2 - 3. Let b(r) be the second derivative of -r**4/12 - r**2/2 - 2*r. Let p(f) = 6*b(f) - 3*w(f). Differentiate p(c) wrt c.
12*c**3
Let y = -3 - -6. Let c = 0 + y. Find the third derivative of w**2 - c*w**4 - w**2 - 3*w**2 wrt w.
-72*w
Let j(w) be the second derivative of w**6/15 - w**3/3 + 5*w. Find the second derivative of j(f) wrt f.
24*f**2
Let p(q) be the third derivative of q**4/24 - q**3/3 - q**2. Let w be p(4). What is the second derivative of 9*y**2 - y**4 - 9*y**2 - w*y wrt y?
-12*y**2
Let o be 2*((-6)/4)/(-3). Let d = o + -6. Let l(g) = -3*g + 8. Let r(a) = 6*a - 15. Let b(j) = d*r(j) - 9*l(j). What is the first derivative of b(u) wrt u?
-3
Let q(r) = 10*r. Let j(u) = 1. Let y(c) = -3*j(c) - q(c). Differentiate y(m) wrt m.
-10
Let y(d) = 8*d**3 + 25*d**2 - 5*d + 5. Let i(u) = -9*u**3 - 25*u**2 + 4*u - 4. Let b(v) = 5*i(v) + 4*y(v). What is the third derivative of b(l) wrt l?
-78
Let g(d) = -2*d - 4. Suppose -4*h + 8 = 24, -4*h = -3*y + 13. Let r(f) = -1. Let m(u) = y*g(u) + 5*r(u). Differentiate m(n) with respect to n.
2
Let p be 1/(-7)*91/(-52). Let r(d) be the first derivative of 0*d + p*d**4 - d**3 - 3 + 0*d**2. Find the third derivative of r(w) wrt w.
6
Find the third derivative of 60*g**3 - 2*g**2 - 60*g**3 + 0*g**4 + 4*g**4 wrt g.
96*g
Suppose 0*w = 5*w - 25. Let b(u) be the first derivative of 0*u**4 - 1 - u + 0*u**3 + 0*u**2 + 1/5*u**w. Find the first derivative of b(o) wrt o.
4*o**3
Differentiate 7 + 9*u**2 - 2 - 3*u**2 with respect to u.
12*u
Let z(i) = i**3 + 6*i**2 - 5*i + 4. Let k be z(-7). Let h be (1 + -2)/(2/k). What is the third derivative of -2*m**h + 2*m - 2*m + 2*m**2 wrt m?
-120*m**2
Let f(z) = -z**2 + z - 1. Let c = 7 + -13. Let v(j) = 4*j**2 - 6*j - 4. Let u(s) = c*f(s) - v(s). Find the first derivative of u(r) wrt r.
4*r
Let y(h) be the second derivative of -h**8/3360 - h**7/2520 + h**4/12 - 2*h. Let d(p) be the third derivative of y(p). Find the third derivative of d(v) wrt v.
-12
Let u be 6/8 + (-1305)/(-36). Let r(k) = 3*k**3 + 2*k**2 - 1. Let g be r(1). What is the second derivative of q**2 - 37 + g*q + u wrt q?
2
Suppose -3 - 3 = -3*n. Find the second derivative of n*t**3 - 2*t**3 - 2*t**4 + 4*t**4 - 4*t wrt t.
24*t**2
Let y(m) = -31*m**5 - 3*m**3 + 7*m - 6. Let c(z) = 30*z**5 + 2*z**3 - 6*z + 5. Let p(k) = 3*c(k) + 2*y(k). Find the second derivative of p(h) wrt h.
560*h**3
Let d(o) = o**2 - 4*o + 4. Let r be d(4). Let q(f) be the second derivative of 0*f**3 + f**2 + 0 + 2*f + 1/4*f**r. Differentiate q(t) wrt t.
6*t
Let k(z) be the first derivative of 25*z**7/7 - 12*z**3 - 37. What is the third derivative of k(g) wrt g?
3000*g**3
Let x(s) be the first derivative of s**9/1512 + s**5/30 - s**3/3 - 1. Let m(k) be the third derivative of x(k). Find the second derivative of m(q) wrt q.
40*q**3
Let p(s) = -s - 9. Let h be p(-7). Let y = h - -4. Differentiate -4 + 3 + 2 - 4 + y*b**2 with respect to b.
4*b
Let d(q) be the second derivative of -2*q**6/5 - 11*q**4/12 + 11*q. Find the third derivative of d(f) wrt f.
-288*f
Suppose 0*o = -3*f - o + 10, 4 = 4*o. Let j(w) be the first derivative of 3 - 4/3*w**f + w + 0*w**2. What is the first derivative of j(a) wrt a?
-8*a
Let f(w) = 49*w**3 - 11*w**2 + 11*w + 37. Let l(h) = 25*h**3 - 6*h**2 + 6*h + 19. Let i(s) = -6*f(s) + 11*l(s). Find the first derivative of i(n) wrt n.
-57*n**2
Let b(y) = y**2 - y + 1. Let d(j) = -5 + 3*j - 3*j**2 + 0*j**2 + 0*j**2. Let f(i) = -5*b(i) - d(i). What is the second derivative of f(p) wrt p?
-4
Let r(y) = 2*y + 2 - 3 + 3*y. Let g(d) = -4*d. Let m = 23 + -26. Let o(s) = m*g(s) - 2*r(s). What is the first derivative of o(f) wrt f?
2
Let z(q) be the third derivative of 1/20*q**5 - 2*q**2 + 0*q**3 + 0 + 0*q**4 + 0*q + 0*q**6 + 1/105*q**7. What is the third derivative of z(i) wrt i?
48*i
Let t(x) = 22*x**4 + 9*x**3 - 9*x**2 + 16*x + 9. Let i(u) = u**4 + u**3 - u**2 + u + 1. Let k(g) = 18*i(g) - 2*t(g). Find the second derivative of k(p) wrt p.
-312*p**2
Let n = -5 + 7. Differentiate -2*x**3 + 2 - n*x**3 + 4 - 3 wrt x.
-12*x**2
Suppose 0 = -n + 3*o + 14, -4*n + 5 = -4*o - 19. Find the third derivative of 2*u**4 - 3*u**2 - u**4 - 3*u**4 + 5*u**n wrt u.
-48*u
Find the second derivative of -5*i + 30*i**2 - 3*i**2 + 19*i wrt i.
54
Differentiate 4*y**2 + 257*y + 15*y**2 - 257*y + 18 with respect to y.
38*y
Let g(q) be the second derivative of 2*q + 0 + 5/6*q**3 + 3/2*q**2. What is the first derivative of g(m) wrt m?
5
Let m(p) be the second derivative of p**8/6720 - p**6/240 + p**4/6 + 3*p. Let d(b) be the third derivative of m(b). What is the second derivative of d(j) wrt j?
6*j
Find the second derivative of -9*x - 3*x - 4*x**2 - 4*x - 4*x**2 wrt x.
-16
Let n(s) = -s**3 + 1. Let l(b) = -4*b**4 - 4*b**3 - 12*b + 4. Let i(v) = l(v) - 4*n(v). What is the second derivative of i(k) wrt k?
-48*k**2
Let p(s) be the third derivative of -s**4/24 + 7*s**3/6 + 2*s**2. Let l be p(5). What is the third derivative of -2*j**5 + j**5 - 3*j**2 + j**l wrt j?
-60*j**2
Let j(p) be the first derivative of 5/2*p**2 + 0*p - 5 + 2/3*p**3. What is the second derivative of j(s) wrt s?
4
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