 13*z**3 - 5*z + 6*z - z. Let c(w) = 2*s(w) + 22*t(w). What is the first derivative of c(n) wrt n?
12*n**2
Let n = 2 - -4. Let a(d) be the third derivative of 0 + 0*d**n + 0*d**5 + 1/105*d**7 + 1/6*d**3 + 0*d**4 - d**2 + 0*d. Differentiate a(b) wrt b.
8*b**3
Suppose -2*f + 3*k + 14 = 2*k, 5*f - k = 35. Suppose -21 = -5*c + 4*l + 2, -5*c + f = 4*l. What is the derivative of -3 - c*w**3 + 2 + 4 wrt w?
-9*w**2
Suppose 5*c = 3*c + 16. Suppose 25 = 5*a + t, 0*a - 3*a = -4*t + c. What is the second derivative of 0*q**4 + 0*q**4 - 2*q**a + 2*q wrt q?
-24*q**2
Let x(s) = 13*s**4 + 7*s**3 + 7*s**2 - 7*s + 162. Let y(u) = -4*u**4 - 2*u**3 - 2*u**2 + 2*u - 54. Let w(k) = -2*x(k) - 7*y(k). Differentiate w(z) wrt z.
8*z**3
Let h be (-36)/27 - (-10)/3. Let r(k) be the first derivative of 1 + 0*k**4 - 2*k + 0*k**3 + 0*k**h + 2/5*k**5. Find the first derivative of r(n) wrt n.
8*n**3
Let q(u) be the second derivative of -u**7/14 + u**3 - 6*u. Find the second derivative of q(z) wrt z.
-60*z**3
Suppose -5*n + 2*n - 9 = 0. Let t be ((-9)/(-6))/(n/(-4)). Find the second derivative of 0*f + t*f**2 - 3*f**2 + 3*f wrt f.
-2
Suppose -v - 4*v + 25 = 0. What is the second derivative of 6*x + 2*x - v*x**3 - 3*x - 4*x wrt x?
-30*x
Let w(u) = 5*u**4 - 4*u - 3. Let v(h) = 14*h**4 - 11*h - 8. Let l(y) = -4*v(y) + 11*w(y). What is the derivative of l(d) wrt d?
-4*d**3
Suppose -1 = -5*v + 29. Find the third derivative of -13*t**4 + 18*t**4 + 2*t**2 - v*t**2 wrt t.
120*t
Let i(c) be the second derivative of -7*c**6/10 + c**4/6 - 12*c. What is the third derivative of i(d) wrt d?
-504*d
Suppose -46 = -3*s + 5*w, 29 = 5*s - 4*w - 39. Let h = s - 8. What is the first derivative of -3*g**3 + 5*g**3 - h + 1 wrt g?
6*g**2
What is the derivative of 10*c**3 - 11*c - 12*c + 36 - 11*c**3 wrt c?
-3*c**2 - 23
Let j(x) = 5*x**6 + 7*x**3 + 18*x**2. Let o(w) = 3*w**6 + 3*w**3 + 9*w**2. Let f(s) = 3*j(s) - 7*o(s). What is the third derivative of f(b) wrt b?
-720*b**3
Let p(t) = -5*t**3 - t**2 - 7*t. Let j(q) = 2*q**3 + 3*q. Let r(n) = -7*j(n) - 3*p(n). Find the third derivative of r(d) wrt d.
6
Let p(s) be the third derivative of s**8/48 - 5*s**4/24 - 6*s**2. Find the second derivative of p(g) wrt g.
140*g**3
Suppose 3*k - 6*k = 0. Suppose 6*t - 3*t = -2*f + 16, k = 4*f + 4. Find the third derivative of -2*h**t - 2*h**4 - h**2 + 2*h**4 wrt h.
-240*h**3
Let v(r) = -r**3 + r**2 + r + 1. Let a(s) = -4*s**4 - 5*s**3 + 2*s**2 + 5*s + 5. Let h(f) = -a(f) + 5*v(f). Find the third derivative of h(q) wrt q.
96*q
Let d(k) be the first derivative of -k**2/2 - 5*k + 1. Let l be d(-5). What is the derivative of 3 + l + 0*g + 2*g wrt g?
2
Find the first derivative of -3 - 34*f - 10 - 2 + 3 wrt f.
-34
Let n(x) be the second derivative of -x**6/72 - 5*x**4/24 + x**3/2 - 9*x. Let u(j) be the second derivative of n(j). Differentiate u(r) with respect to r.
-10*r
Let z(d) = d**4 - 4*d**3 - d + 4. Let w(c) = c**4 + 0*c**4 - c - c**3 + 5 - 4*c**3. Let l(p) = -4*w(p) + 5*z(p). What is the second derivative of l(f) wrt f?
12*f**2
Let q(d) = -d - 11 - d**2 + 11. Let t(n) = 6*n**2 + 5*n + 1. Let w(g) = 5*q(g) + t(g). Differentiate w(z) wrt z.
2*z
Let g be (-4)/(-4)*(-1 - -1). Suppose 0 = -g*s + s. Differentiate 0*j**4 + s - j**4 + 2 wrt j.
-4*j**3
What is the third derivative of -l**2 - 9*l**2 - 20*l**3 - 10*l**2 wrt l?
-120
Let d(z) = -57*z**3 + 2*z**2 + 31*z + 5. Let g(j) = 56*j**3 - 2*j**2 - 32*j - 6. Let i(t) = -6*d(t) - 5*g(t). Find the third derivative of i(a) wrt a.
372
Let f(x) = -x - 4. Let p be f(-6). What is the derivative of 5 - p + 0 - 2*m**2 wrt m?
-4*m
Let h(r) = 10*r**3 + 24*r**2 + 5*r - 5. Let l(o) = -10*o**3 - 24*o**2 - 4*o + 4. Let g(f) = 4*h(f) + 5*l(f). Find the third derivative of g(x) wrt x.
-60
Let d = -9 + -3. Let l be (d/9)/((-2)/6). Find the first derivative of l*t**2 - 4*t**2 - 1 - 2*t**4 wrt t.
-8*t**3
Let v(x) = x. Let o(h) = h - 5. Let s(g) = o(g) + 3*v(g). What is the derivative of s(z) wrt z?
4
Suppose -4*h = o - 2*h - 8, -3 = -h. Let q(a) be the second derivative of a**o + 0*a**3 + 0*a**4 + 2*a + 1/10*a**5 + 0. Differentiate q(r) with respect to r.
6*r**2
Let g = -2 - -4. Suppose -3*x - 2*x = -25. Find the third derivative of -x*l**3 + 0*l**2 + 4*l**3 - g*l**2 wrt l.
-6
Let d be (-32)/(-14) - (-4)/(-14). What is the second derivative of -2*w**2 + w**2 - 2*w**d + 2*w + 0*w**2 wrt w?
-6
Let r = -12 + 14. Differentiate r - 3 - 2*p**2 + 1 + 3 wrt p.
-4*p
Let g(z) be the first derivative of 8*z**5/5 + 11*z**2/2 - 5. What is the second derivative of g(a) wrt a?
96*a**2
Let y(j) be the first derivative of 6*j**5/5 + 3*j**2/2 - 1. Find the second derivative of y(s) wrt s.
72*s**2
Let g be (2/1 - 1)*0. Let s(w) = 3*w**2 + 3*w + 2. Let x be s(-1). Differentiate -1 + 6 - x + g*q**3 + q**3 wrt q.
3*q**2
Let s(a) = a**3 - 13*a**2 + 12*a. Let f be s(12). What is the derivative of 1 + 0 + f*q**4 - q**4 wrt q?
-4*q**3
Find the third derivative of 17*j**3 + 2*j + 7*j**3 + 3*j**3 + 16*j**2 + 24*j**3 wrt j.
306
Let h(w) = 25*w**3 + 13*w**2 + 13*w - 21. Let u(z) = -12*z**3 - 6*z**2 - 6*z + 10. Let a(x) = 6*h(x) + 13*u(x). Find the first derivative of a(i) wrt i.
-18*i**2
Suppose h = -1 + 3. Let s(a) be the second derivative of -2*a + 0 + 0*a**h + 1/6*a**3 - 1/6*a**4. Find the second derivative of s(n) wrt n.
-4
Let y(f) be the second derivative of 23*f**7/42 + 11*f**4/4 + 39*f. What is the third derivative of y(o) wrt o?
1380*o**2
Let p(u) = 4*u**2 - u - 1. Let h be p(-1). Differentiate h*k**4 - 2*k - 7 + 2*k + 11 wrt k.
16*k**3
Let f(x) be the second derivative of -x**8/1344 + x**5/120 + x**4/2 + 6*x. Let m(p) be the third derivative of f(p). Find the first derivative of m(r) wrt r.
-15*r**2
Let z = -1 + 0. Let u = z - -3. Differentiate -1 - 1 - 3*x**3 + u*x**3 with respect to x.
-3*x**2
Find the third derivative of -k**2 - 2*k**6 + 3*k**6 - k**2 wrt k.
120*k**3
Suppose 4*i + i - 30 = 0. Find the third derivative of 8*g**2 - 5*g**2 - 7*g**i - 5 + 5 wrt g.
-840*g**3
Let t be 2/(-5) - (-17)/5. Differentiate 4 - 3 + m - t + 1 wrt m.
1
Let h(g) be the first derivative of g**6/40 - 2*g**5/15 + 4*g**2 - 6. Let y(t) be the second derivative of h(t). What is the third derivative of y(n) wrt n?
18
Let c = -18 + 19. Let d(w) be the first derivative of -c - 1/2*w**2 + 0*w - 1/3*w**3. What is the second derivative of d(u) wrt u?
-2
Let x = 0 - -2. Suppose t + 5*c = -3*t - 15, 5*t = 3*c + 9. What is the second derivative of 2*w**3 - x*w + 3*w + t*w wrt w?
12*w
Let a(o) = -4*o**3 - o**2 - 7*o - 1. Let l(x) = x**2 + 1. Let q(r) = -a(r) - l(r). Find the second derivative of q(z) wrt z.
24*z
Let m(h) be the second derivative of h**10/7560 + h**7/630 - h**4/3 + h. Let c(t) be the third derivative of m(t). Find the third derivative of c(n) wrt n.
240*n**2
Let n = -12 - -12. Find the first derivative of n*t + 4*t + 0*t + t + 5 wrt t.
5
Suppose 0 = -4*m - u + 24, 3*m - 3*u - 13 = -2*m. What is the second derivative of 0*b**2 + 3*b**2 + b + m*b - 5*b wrt b?
6
Let a = 6 + -12. Let j be (a/4)/(3/(-4)). What is the third derivative of -4*g**2 - 6 - j*g**3 + 6 wrt g?
-12
Let x(s) = -s + 2. Let v be -1*2/4*14. Let o(m) = m - 5. Let k(q) = v*x(q) - 3*o(q). Differentiate k(r) wrt r.
4
Suppose 2*q = 15 - 1. Let i(x) = x**2 - 6*x - 5. Let g be i(q). Find the second derivative of 2*b**3 + 0*b + g*b - 4*b wrt b.
12*b
Let t(p) = -5*p - 11. Let i(x) = -5*x - 10. Let l(n) = 4*i(n) - 3*t(n). What is the first derivative of l(q) wrt q?
-5
Let a(s) be the third derivative of s**7/14 - 2*s**5/15 - 10*s**2. What is the third derivative of a(d) wrt d?
360*d
Suppose 101 = -2*z + 35. Let h be (-2)/(-11) - 126/z. What is the first derivative of -3*w**4 + w**4 - h - 1 + 4 wrt w?
-8*w**3
Let o(f) = -19*f**6 - 2*f**4 + 2*f**3 - 2*f**2. Let x(r) = -r**6 - r**4 + r**3. Let t(s) = -o(s) + 2*x(s). What is the third derivative of t(y) wrt y?
2040*y**3
Suppose -10*d = -9*d. Let i(k) be the first derivative of 0*k**3 + 2 + d*k - 1/2*k**2 + 0*k**4 - 1/3*k**6 + 0*k**5. Find the second derivative of i(m) wrt m.
-40*m**3
Let f be 1/4 + (-66)/8. Let d = f + 13. What is the second derivative of -v - 3*v**d - v - v wrt v?
-60*v**3
Suppose -4*n + 11 + 1 = 0. Differentiate -n*k**4 + 0 - 6 + 2 wrt k.
-12*k**3
Let p(i) = i**2 - 3*i - 1. Let s be p(4). Find the thi