g - 2. Let l(u) = -4*u + 1. Let h be (2/4)/((-1)/6). Let i(k) = h*s(k) + n*l(k). Differentiate i(p) wrt p.
-1
What is the second derivative of 4*m**5 - 25*m**3 + 25*m**3 - 11*m wrt m?
80*m**3
Let n(a) be the first derivative of -a**4/6 - a**3/6 - a**2 - 1. Let g(d) be the second derivative of n(d). What is the derivative of g(c) wrt c?
-4
Let s(v) be the first derivative of -5*v**7/7 + v**3/3 - 6. What is the third derivative of s(y) wrt y?
-600*y**3
Let c(h) = -4*h**4 + 5*h - 3. Let b(t) = -5*t**4 + 6*t - 4. Let l(x) = 3*b(x) - 4*c(x). What is the second derivative of l(q) wrt q?
12*q**2
Let o(q) be the third derivative of q**6/30 + 5*q**4/24 - 2*q**2. What is the second derivative of o(r) wrt r?
24*r
Let x(r) be the third derivative of 3*r**6/40 + 20*r**3/3 + 7*r**2 + 3. Differentiate x(j) wrt j.
27*j**2
Suppose -5 = -2*q + 7. Find the third derivative of c**6 + c**6 + 3*c**2 - 4*c**q wrt c.
-240*c**3
Let s(h) be the second derivative of -11*h**4/12 + 3*h**2/2 - 2*h. Differentiate s(b) wrt b.
-22*b
Let p(m) be the third derivative of -m**9/252 - m**5/10 + 3*m**2. What is the third derivative of p(n) wrt n?
-240*n**3
Let x be -2 - (1 - 364/120). Let v(m) be the third derivative of 1/3*m**3 - 3*m**2 + 0*m**4 + 0*m + 0 + x*m**5. What is the derivative of v(k) wrt k?
4*k
Let f(l) be the third derivative of l**7/420 + l**4/24 - l**3/2 - l**2. Let t(a) be the first derivative of f(a). Differentiate t(p) wrt p.
6*p**2
Let t(h) = -1. Let o be (6 + -1)*18/(-15). Let a(x) = x + 9. Let j(d) = o*t(d) - a(d). What is the first derivative of j(v) wrt v?
-1
Let t be (-3 - 116/(-36)) + (-10)/(-36). Let m(u) be the first derivative of -3 - u**2 + 0*u + 0*u**3 - t*u**4. Find the second derivative of m(g) wrt g.
-12*g
Let s(a) be the third derivative of -11*a**5/30 - 11*a**4/24 - 42*a**2. What is the second derivative of s(b) wrt b?
-44
Find the third derivative of -11*y**3 - 7*y**5 + 11*y**3 + 3*y**2 wrt y.
-420*y**2
Let h(s) = 2*s**5 + 2*s**3 + 12*s**2. Let v(k) = k**3 - k**2. Let d(r) = h(r) - 2*v(r). What is the third derivative of d(n) wrt n?
120*n**2
Let q(b) be the first derivative of 0*b - 7/2*b**2 + 2 - 2/3*b**3. Find the second derivative of q(i) wrt i.
-4
Let q(n) be the first derivative of 8*n**3/3 - 4*n**2 - 1. Find the second derivative of q(g) wrt g.
16
Let x(n) = -7*n**4 + 3*n**3 + 3*n**2 - 19. Let t(w) = 13*w**4 - 7*w**3 - 7*w**2 + 38. Let g(o) = 6*t(o) + 14*x(o). Differentiate g(r) with respect to r.
-80*r**3
What is the derivative of 0 - 13*i + 9 - 3 wrt i?
-13
Let x = -3 - -7. Suppose 2*k - 4*h - 8 = -0, 3*k + 2*h = -4. Find the second derivative of x*j + 3*j**2 + k*j**2 - 3*j + 3*j wrt j.
6
Let z(a) be the third derivative of -2*a**7/35 + 7*a**3/6 + 12*a**2. Differentiate z(c) with respect to c.
-48*c**3
Let g(k) = 20*k**4 + 27*k**2 - 4*k. Let q(p) = -20*p**4 - 27*p**2 + 3*p. Let z(m) = 3*g(m) + 4*q(m). Find the third derivative of z(t) wrt t.
-480*t
Let d(p) be the third derivative of 1/10*p**5 + 7*p**2 + 0*p + 1/60*p**6 + 0*p**4 + 0*p**3 + 0. What is the third derivative of d(w) wrt w?
12
Let t(c) be the second derivative of c**8/2 - 11*c**4/4 - 43*c. What is the third derivative of t(l) wrt l?
3360*l**3
Let y(g) be the second derivative of 11*g**5/20 + g**3 + 10*g. What is the second derivative of y(d) wrt d?
66*d
Let u(r) be the first derivative of 3*r**4/2 - 11*r**2/2 - 9. Find the second derivative of u(x) wrt x.
36*x
Suppose 4*y = -2*f - 10, -3*f + 15 + 10 = -4*y. Suppose 4*d - 6 = f*d. What is the third derivative of -8*q**2 + 5*q**2 - 5*q**6 + q**d wrt q?
-480*q**3
Let w(a) = -51*a**2 - 13*a + 2. Let h(x) = 50*x**2 + 15*x - 1. Let n(g) = 5*h(g) + 6*w(g). Find the second derivative of n(b) wrt b.
-112
Let y(d) = d - 2. Let c be ((-1)/2)/(8/48). Let r(i) = -2. Let x(b) = c*r(b) + 2*y(b). What is the first derivative of x(p) wrt p?
2
Let y(q) be the second derivative of -q**6/360 - 3*q**5/40 - 2*q**4/3 - 9*q. Let l(m) be the third derivative of y(m). Differentiate l(s) with respect to s.
-2
Let h(c) be the first derivative of c**4 + 14*c - 19. What is the derivative of h(v) wrt v?
12*v**2
Let v(u) be the second derivative of 0*u**2 + 0 + 0*u**5 + 1/10*u**6 - 1/6*u**3 + 0*u**4 - 3*u. What is the second derivative of v(k) wrt k?
36*k**2
What is the second derivative of -5 - u**3 + 5 + 46*u - 58*u wrt u?
-6*u
Let d = 52 + -37. Suppose 0*j + 3*j - d = -3*q, -4*q + 4*j - 4 = 0. What is the second derivative of m - m + 4*m + 2*m**q wrt m?
4
Let n(i) = i**3 + i**2 - i + 1. Let k(p) = 3*p**2 - 3*p + 5. Let x(j) = -2*k(j) + 6*n(j). Differentiate x(r) with respect to r.
18*r**2
Let m(c) = 3*c + 11. Let n(q) = -9*q - 32. Let t = 16 + -22. Let b(i) = t*n(i) - 17*m(i). What is the first derivative of b(a) wrt a?
3
Find the third derivative of 26*l**2 + 3*l**3 - 5*l**4 + 9*l**2 + 5*l**4 - 3*l**6 wrt l.
-360*l**3 + 18
What is the second derivative of 10 + 49*f**2 - 242*f + 15 + 241*f wrt f?
98
Let u(y) = y + 1. Let v(t) = 2*t. Let x(s) = -3*u(s) + v(s). Let w be x(-5). Differentiate f - w*f + 3*f - 2 wrt f.
2
Suppose -2*b = -5*d + d + 22, -2*b = 2*d + 4. Differentiate 2 + 5*r**3 - 5*r**d - 3*r**3 + 1 wrt r.
-9*r**2
Let g(l) be the first derivative of -2*l**3/3 + 3*l**2 + 45*l - 6. Find the first derivative of g(w) wrt w.
-4*w + 6
Find the second derivative of 6*x + 7*x + x + 9*x**2 - 5*x wrt x.
18
Let p be 5*(0/3 - -1). Let k(y) = -7*y**4 - 3*y - 4. Let d(f) = -8*f**4 - 3*f - 5. Let n(b) = p*k(b) - 4*d(b). What is the second derivative of n(q) wrt q?
-36*q**2
Let t be (-9 + 8)/(2/(-12)). Let c(x) be the second derivative of -1/15*x**t + 0 + 0*x**3 - x**2 + 0*x**5 + 0*x**4 + x. Differentiate c(k) wrt k.
-8*k**3
Let u(k) be the third derivative of 31*k**8/336 + 7*k**5/15 + 12*k**2. Find the third derivative of u(x) wrt x.
1860*x**2
Suppose -13 = -x + 2*n - 4*n, -5*x - 5*n + 40 = 0. Let d be ((-2)/(-3))/((-2)/(-6)). Differentiate d*w**x + 3*w**3 - 2 - 2*w**3 with respect to w.
9*w**2
Let f(h) = h**3 + h**2 - 1. Let z(p) = -p**3 - 3 - 3 + 13 - 4 - 6*p**2. Let x(i) = -6*f(i) - 2*z(i). What is the third derivative of x(t) wrt t?
-24
Let a(x) be the second derivative of -x**5/2 - 11*x**4/12 - 3*x. What is the third derivative of a(w) wrt w?
-60
Suppose 4*c = 4*p - p + 24, 2*p + 30 = 5*c. Find the first derivative of -5 + c*f**2 - 7*f**2 + 8 + 1 wrt f.
-2*f
Suppose -4*f = -2*f. Suppose -c + 3*n - 4 = f, 3*c - 5*n = 2 - 6. Find the first derivative of 2*g**3 - 3*g**3 + 0 - 1 - c*g**3 wrt g.
-9*g**2
Let h(g) be the first derivative of -g**5/5 - 4*g**3/3 - g - 1. Let n(a) be the first derivative of h(a). What is the second derivative of n(b) wrt b?
-24*b
Let c be (-3)/5 - (-9)/15. Differentiate 0*y**3 - 7*y**4 + 3 + c*y**3 + 5*y**4 with respect to y.
-8*y**3
Let i(y) = 3*y**3 + 7*y + 64. Let u(h) = -h**3 - 3*h - 32. Let t(r) = -2*i(r) - 5*u(r). What is the derivative of t(k) wrt k?
-3*k**2 + 1
Let i(w) be the second derivative of -w**5/5 + w**4/12 - w. Find the third derivative of i(b) wrt b.
-24
Suppose -u + 11 + 0 = -2*l, 4*u = -2*l + 14. Let h(n) = -n - 1. Let g be h(l). What is the third derivative of -g*x**2 + 0*x**4 + 0*x**4 - x**6 wrt x?
-120*x**3
Let u(f) be the second derivative of 3*f**5/10 - f**4/2 - 6*f. What is the third derivative of u(x) wrt x?
36
Let g be (0 - -2) + -10 + 8. Let i(j) be the third derivative of 0*j + 1/12*j**4 + g - j**2 + 0*j**3 - 1/30*j**5. What is the second derivative of i(f) wrt f?
-4
Differentiate -4 - 69*g + 149*g - 35*g with respect to g.
45
Let o(x) be the second derivative of -x**5/10 + 5*x**4/12 - 2*x. Find the third derivative of o(j) wrt j.
-12
Let n(g) be the second derivative of g**6/5 - g**4/6 - 4*g. Find the third derivative of n(r) wrt r.
144*r
Let b(j) be the second derivative of 0*j**6 + 0*j**2 + 0*j**5 + 1/4*j**4 - j + 0*j**3 - 2/21*j**7 + 0. What is the third derivative of b(h) wrt h?
-240*h**2
Let h(g) = -g**2 - 13*g - 7. Let y be h(-12). What is the third derivative of -4*n**2 + 2*n**5 + 2*n**2 + n**y wrt n?
180*n**2
Find the third derivative of 0*m**4 + 4*m**4 - 7*m**2 - m**4 wrt m.
72*m
What is the third derivative of -5*g**2 - 74*g**3 + 74*g**3 + 10*g**4 - 4*g**4 wrt g?
144*g
Suppose 2*c - 12 = -0*c. What is the first derivative of c*n - 1 - 3 + 0*n - n wrt n?
5
Let v(u) be the third derivative o