2. What is the derivative of s(z) wrt z?
-12*z**2 - 4
Let a(z) = z. Suppose -2 = c - 6. Let u be a(c). Find the first derivative of -v**4 - u*v**4 + 4*v**4 - 2 wrt v.
-4*v**3
Let x(c) be the third derivative of -c**9/126 + c**5/10 - 4*c**2. Find the third derivative of x(v) wrt v.
-480*v**3
Let x = -6 + 17. What is the first derivative of -1 + 11*h**2 - x*h**2 - h**3 wrt h?
-3*h**2
Let d(r) = -r**2 + 9*r - 3. Let n be d(8). Suppose 0*w = n*w - 5*f, -f = -4. Differentiate -s**3 + 4*s - w*s + 2 with respect to s.
-3*s**2
What is the third derivative of 30*n**3 + 89*n + 86*n - 174*n - 5*n**2 wrt n?
180
Let b(d) be the first derivative of d**4/4 + 3*d**2/2 + 2*d + 1. Let g(i) be the first derivative of b(i). What is the derivative of g(v) wrt v?
6*v
What is the second derivative of 5*c + 13*c + 5*c**3 - 13*c wrt c?
30*c
Let b(n) = -n**4 - 1. Let g(z) be the first derivative of -2 - 2*z - 3/2*z**2. Let y(j) = 2*b(j) - g(j). What is the second derivative of y(m) wrt m?
-24*m**2
What is the first derivative of 10*y**4 + 2 - 5 - 3 wrt y?
40*y**3
Differentiate 43*c**2 + 44*c**2 + 31 + 34*c**2 - 119*c**2 with respect to c.
4*c
Let d(f) = -3*f**2 - 3*f - 4. Let j(w) = w**3 - 4*w**2 - 4*w - 3. Let u = 17 + -20. Let q(o) = u*j(o) + 4*d(o). Find the first derivative of q(n) wrt n.
-9*n**2
Let b(h) = h**3 - 1. Let k(d) = 9*d**3 + 2*d**2 - 6. Let p(z) = -6*b(z) + k(z). Find the third derivative of p(i) wrt i.
18
Let c = -7 - -9. What is the second derivative of 3*i**2 - 3*i**2 - i - 4*i**c + 6*i**2 wrt i?
4
Let r(b) = b**2 - b + 3. Suppose p - 6*p = 0. Let x be r(p). Find the second derivative of 3*s**2 - 3*s - x*s**5 - 3*s**2 + 6*s wrt s.
-60*s**3
Let g(i) = -i**4 - i**3 + i + 1. Let h(m) = 8*m**4 - 2*m**3 - 8*m + 2. Let a(k) = 2*g(k) - h(k). What is the second derivative of a(o) wrt o?
-120*o**2
Let r = -127 - -129. Let u(o) be the second derivative of 0*o**r - 2/3*o**3 - 1/15*o**6 - 4*o + 0*o**5 + 0 + 0*o**4. Find the second derivative of u(k) wrt k.
-24*k**2
Let u be 2/(-6) - 2/(-6). Find the third derivative of -2*d**2 + u*d**6 + 4*d**6 - d**6 wrt d.
360*d**3
Let r(j) be the second derivative of 0 + 0*j**6 + 3*j + 0*j**5 + 0*j**2 - 1/3*j**3 + 0*j**4 - 1/21*j**7. What is the second derivative of r(o) wrt o?
-40*o**3
Let l(k) = -k**3 - 4*k**2. Let r be l(-4). What is the first derivative of -h + 2*h + r*h + 2*h + 4 wrt h?
3
Let j(a) = 6*a**4 + 21*a + 0 + 7*a**3 + 7 - 5*a. Let b(h) = 2*h**4 + 2*h**3 + 5*h + 2. Let l(g) = -7*b(g) + 2*j(g). Find the second derivative of l(x) wrt x.
-24*x**2
Let x(j) be the first derivative of 3*j**2/2 - 22*j - 29. What is the derivative of x(l) wrt l?
3
Let y(g) = -g**2 - g - 1. Let s(o) = 13*o**3 - 5*o**2 + 3*o - 5. Let b(z) = -s(z) + 5*y(z). What is the second derivative of b(a) wrt a?
-78*a
Find the first derivative of 1 - 3 + 3 - 8*r**2 + 1 wrt r.
-16*r
Let u(z) be the first derivative of -4/5*z**5 - 4/3*z**3 + 0*z**2 + 0*z**4 + 0*z + 7. Find the third derivative of u(d) wrt d.
-96*d
Let r(x) = 27*x**2 - 3*x - 13. Let d(y) = y**2 - y - 1. Let j(t) = -3*d(t) + r(t). What is the first derivative of j(f) wrt f?
48*f
Let w = 27 - 22. What is the second derivative of -w*l + 8*l - 4*l - 11*l**4 wrt l?
-132*l**2
What is the third derivative of 176*y**3 - 176*y**3 - 2*y**2 + 11*y**4 wrt y?
264*y
Let l(z) = z - 5. Let o be l(5). Suppose o = -2*t - 3*t + 15. What is the second derivative of 0*v - 2*v + v**2 + t*v wrt v?
2
Let u(a) be the third derivative of a**8/168 + a**5/20 - 5*a**2. Find the third derivative of u(k) wrt k.
120*k**2
What is the third derivative of 21*k**3 - 9*k**3 + 4*k**3 + 17*k**2 wrt k?
96
Let s = 11 - 7. What is the second derivative of 3*b + 5*b - s*b + 0*b + 4*b**2 wrt b?
8
Find the third derivative of -2*p**6 + 5*p**2 - p**2 + 0*p**2 wrt p.
-240*p**3
Let w(p) = 3*p**2 + 7*p - 4. Let l = 13 - 6. Let o(s) = 7*s**2 + 13*s - 7. Let y(n) = l*w(n) - 4*o(n). What is the second derivative of y(m) wrt m?
-14
What is the first derivative of -101*g**3 + 102*g**3 - g**2 - 43 + 10 wrt g?
3*g**2 - 2*g
Find the second derivative of -6*g + 54 - 54 - 11*g**5 wrt g.
-220*g**3
Differentiate -2*v**3 - 9 - 2*v**3 - 3*v**3 - v**3 with respect to v.
-24*v**2
Let p(t) be the second derivative of 0*t**2 + 0*t**4 + 2*t - 1/10*t**6 + 0 + 0*t**5 - 2/3*t**3. Find the second derivative of p(k) wrt k.
-36*k**2
Let m(a) = 36*a**4 - 5*a**3 + 6*a**2 + 5*a. Let f(o) = -37*o**4 + 6*o**3 - 7*o**2 - 6*o. Let s(c) = 5*f(c) + 6*m(c). Find the third derivative of s(l) wrt l.
744*l
Let p(m) = m**2 + m + 1. Let r(u) = 2*u + 3*u + 12 + 13*u**2 + u. Let c(i) = 6*p(i) - r(i). Differentiate c(y) wrt y.
-14*y
Let n(w) = 9*w**3 + 5*w**2 + w. Let p(v) = 4*v**3 + 2*v**2. Let s(q) = -6*n(q) + 15*p(q). What is the second derivative of s(a) wrt a?
36*a
Suppose -20 = -5*g + v, -g + 4*g - 5*v - 12 = 0. Find the first derivative of c**3 - 9*c**g - c**3 + 4 + 5*c**4 wrt c.
-16*c**3
Let z be (-4)/22 + (-48)/(-22). Differentiate 2 + 3*y + 3 - z with respect to y.
3
Let t = 6 + -3. Suppose -t*d = 2*d. What is the third derivative of -6*h**2 - h**4 + d*h**2 + 3*h**2 wrt h?
-24*h
What is the third derivative of -13*q**2 + 0*q**6 - 4*q**6 + 21*q**2 wrt q?
-480*q**3
Let i(m) be the third derivative of -m**4/8 - m**3/6 - 8*m**2. Differentiate i(w) with respect to w.
-3
Let p(d) be the second derivative of 1/28*d**8 + 0*d**7 + d + 0*d**2 + 0 + 0*d**6 + 0*d**5 - 1/4*d**4 + 0*d**3. What is the third derivative of p(w) wrt w?
240*w**3
Let w(k) = -6*k + 1. Let x(y) = 2*y + 7*y - 2*y - 1. Let n(r) = 5*w(r) + 4*x(r). What is the derivative of n(h) wrt h?
-2
Let s(u) be the third derivative of -u**9/56 + u**5/30 - 7*u**2. Find the third derivative of s(x) wrt x.
-1080*x**3
Let o(q) be the first derivative of -q**4/2 - 5*q - 2. Differentiate o(p) with respect to p.
-6*p**2
Let i(n) be the third derivative of -5*n**9/504 - n**5/20 - 6*n**2. What is the third derivative of i(m) wrt m?
-600*m**3
Let h(n) = -n**4 + n**3 - n**2 + n + 1. Let k(b) = b**4 - 2*b**3 + 11*b**2 - 2*b - 2. Let z(l) = -2*h(l) - k(l). Find the third derivative of z(m) wrt m.
24*m
Let i(p) be the second derivative of 15*p**3/2 + 55*p**2/2 - 10*p. Find the first derivative of i(x) wrt x.
45
Let g(f) be the first derivative of -57*f**5/5 + 2*f**3/3 + 5*f - 12. Find the third derivative of g(k) wrt k.
-1368*k
Find the third derivative of 3583*x**4 - 3*x**3 + 13*x**2 + 39*x**2 - 3573*x**4 wrt x.
240*x - 18
Let b(q) be the first derivative of 11*q**4/2 - 24*q - 1. Differentiate b(r) with respect to r.
66*r**2
Let v(u) be the first derivative of -10*u**6/3 + u**2/2 - 6*u + 51. Find the second derivative of v(b) wrt b.
-400*b**3
Let h(y) = -y**2 - y. Let l(w) = -4*w**4 + 4*w**2 - 10*w. Let u(z) = 20*h(z) - 2*l(z). What is the third derivative of u(k) wrt k?
192*k
Let b(x) be the third derivative of -x**8/48 - 3*x**4/8 - 7*x**2. Find the second derivative of b(u) wrt u.
-140*u**3
Suppose w - 10 = -w. Differentiate -2 - w*a**4 + 4 - 3 wrt a.
-20*a**3
Let h(w) = 6*w**4 - 4*w**3 - 2*w**2 + 4. Let y(v) = 6*v**4 - 5*v**3 - 2*v**2 + 5. Let m(x) = -5*h(x) + 4*y(x). What is the third derivative of m(u) wrt u?
-144*u
Let u(f) be the first derivative of f**6 + f**3/3 - 22. Find the third derivative of u(j) wrt j.
360*j**2
Find the third derivative of 9*s**2 - 3*s**6 - 2*s**2 + 0*s**2 wrt s.
-360*s**3
Let s(w) be the third derivative of 5*w**8/168 + 5*w**4/24 + 10*w**2. What is the second derivative of s(k) wrt k?
200*k**3
Suppose 4*k - 6*k + 4 = 0. What is the second derivative of k*m - 2 - 1 + 2*m**4 + 3 wrt m?
24*m**2
Suppose h = -3*h. Suppose -2*m - 14 = -3*l - h*m, 3*l + 6 = -3*m. Differentiate 0*b - 3*b + l + b wrt b.
-2
Suppose -1 = -i + 1. What is the second derivative of 2*s - 4*s + 3*s**i + 4*s + 0*s wrt s?
6
Let n(j) be the second derivative of 0*j**3 + 1/6*j**4 + 0*j**5 + j + 0*j**6 + 1/21*j**7 + 0*j**2 + 0. Find the third derivative of n(o) wrt o.
120*o**2
Let w(o) = o**3 - 2*o**2 + 2*o - 1. Let i be w(1). What is the third derivative of 2*y**5 + i*y**5 + y**2 + 2*y**5 + 2*y**5 wrt y?
360*y**2
Let y(u) be the second derivative of 3*u**6/5 + 4*u**4/3 - 12*u. Find the third derivative of y(o) wrt o.
432*o
Let k be (-3)/((-12)/(-8) + -3). What is the third derivative of -4*r**6 - 4*r**k - 1 + 1 - r**2 wrt r?
-480*r*