8*w. Differentiate p(j) wrt j.
1173*j**2
Find the first derivative of 13464*g + 31 - 13393*g + 43 wrt g.
71
Let z(x) be the first derivative of -16*x**6/3 + x**3/3 - 4*x**2 - 25*x - 187. What is the second derivative of z(c) wrt c?
-640*c**3 + 2
Find the second derivative of -163 - 6*r**2 + 53 + 57 - 16*r + 56 - 8*r**3 wrt r.
-48*r - 12
Let f = -35/2 + 18. Let o(q) be the second derivative of 0*q**3 + 5*q - f*q**2 - 1/6*q**4 + 0. Differentiate o(m) wrt m.
-4*m
Let a = -494 + 494. Let f(x) be the first derivative of 1/5*x**5 + 0*x**3 - 4*x + a*x**4 + 4 + 0*x**2. Find the first derivative of f(c) wrt c.
4*c**3
Let d = 9 + -8. Suppose -4*g - d = -17. Find the first derivative of g*k - k + 4 + 0*k wrt k.
3
Find the first derivative of -109 + 15 + 12*n + 114*n**2 + n**2 - 12*n wrt n.
230*n
Let m(o) = -2*o**5 - 5*o**4. Let v(c) = 0*c**2 - c**2 - c**4 + 2*c**2 - 2*c**2. Let b(f) = -m(f) + 5*v(f). What is the third derivative of b(h) wrt h?
120*h**2
Let y = 60/11 + -3589/660. Let j(w) be the third derivative of 4*w**2 + 0*w + 0 - y*w**6 + 0*w**5 + 0*w**4 - w**3. What is the derivative of j(s) wrt s?
-6*s**2
Let h = -925 + 929. Let q(t) be the second derivative of 0*t**3 + 5*t**2 + 0 - 6*t + 0*t**h - 1/6*t**6 + 0*t**5. What is the first derivative of q(o) wrt o?
-20*o**3
Let a(q) be the third derivative of 17*q**7/15 + 73*q**3/6 - 33*q**2. Find the first derivative of a(k) wrt k.
952*k**3
Let v(o) = -35*o**3 - 9*o**2 - 22*o + 84. Let m(r) = 12*r**3 + 3*r**2 + 8*r - 28. Let x(q) = -11*m(q) - 4*v(q). What is the third derivative of x(z) wrt z?
48
Suppose -3*s + 7 = -g, -4*g + 4*s = 3*s - 27. What is the third derivative of 7*x**6 + g*x**6 - 33*x**2 + 22*x**6 - 6*x**6 wrt x?
3720*x**3
Let q(a) be the first derivative of 0*a**2 + 0*a + 4 + 0*a**4 - 11/5*a**5 + 5/3*a**3. Find the third derivative of q(k) wrt k.
-264*k
Let i(y) be the second derivative of -46*y**7/21 + 26*y**3/3 + y**2 + y - 28. Find the second derivative of i(b) wrt b.
-1840*b**3
Find the first derivative of 23*r**2 - 28*r - 55*r + 190 + 82*r wrt r.
46*r - 1
Let w(h) = -2*h**2 + 2*h**2 + 3*h**2 + h - 1. Let z be w(1). What is the third derivative of -9*d + 3*d**z + 12*d - d**2 - 3*d wrt d?
18
Suppose -4*r + 11 = 2*h - 19, -5 = h - 2*r. What is the third derivative of -40*s**5 - 59*s**5 + 131*s**h - 57*s**2 wrt s?
1920*s**2
Let p(d) = -2*d**3 + 2*d**2 + 4*d + 7. Let o(w) = -w**3 - w - 1. Let z(g) = 6*o(g) + p(g). What is the second derivative of z(k) wrt k?
-48*k + 4
What is the second derivative of -1 + 63*l - 271*l + 3 + 813*l**3 - 301*l**3 - 76*l wrt l?
3072*l
Let z = 47 - 43. Find the third derivative of -14*a**5 + 26*a**5 + 22*a**6 - z*a**2 - 12*a**5 wrt a.
2640*a**3
Let g be ((-2)/(-4))/(11/110). What is the second derivative of -4*b**5 + 19*b - 19*b**g + 2*b**5 wrt b?
-420*b**3
Let v be (-1 - 15/5) + 22. Find the third derivative of -16*p**6 - 14*p**2 - v*p**2 + 26*p**2 wrt p.
-1920*p**3
Find the third derivative of -4*b**2 - 12*b**6 - 474*b - 6*b**3 + 548*b - 6*b**6 + 13*b**3 + 2*b**6 wrt b.
-1920*b**3 + 42
Let g(c) = c**4 - c**3 - c**2 - c - 1. Let z(u) = 2*u**4 + 13*u**3 - 40*u**2 + 4*u + 4. Let x(b) = -4*g(b) - z(b). What is the third derivative of x(v) wrt v?
-144*v - 54
Suppose 0 = u - 0*u - c - 1, -5*c = -u - 11. Let w be 4 + 12/(8 - u). Find the third derivative of -2 - 7 + 9 - 6*r**5 - w*r**2 wrt r.
-360*r**2
Let c(x) be the first derivative of 0*x + 0*x**4 - 10/3*x**3 + 2*x**5 + 0*x**2 + 14. Find the third derivative of c(m) wrt m.
240*m
Let c(p) be the second derivative of -p**7/42 - 13*p**4/24 + 3*p**3/2 - 8*p. Let t(j) be the second derivative of c(j). What is the derivative of t(y) wrt y?
-60*y**2
What is the third derivative of -1246*p**2 + 1036*p**2 + 0*p**3 - p**3 + p**3 + 6*p**4 wrt p?
144*p
Let w(k) be the third derivative of 33*k**5/10 + 13*k**3/2 - 79*k**2. Differentiate w(i) with respect to i.
396*i
Let l(w) be the third derivative of 21*w**5/5 + 335*w**3/6 + 11*w**2 + 19*w. What is the derivative of l(q) wrt q?
504*q
What is the second derivative of 71*t - 216*t**3 - t**2 + 86*t + 90*t wrt t?
-1296*t - 2
Suppose -5*x = 4*j - 28, 4*x + 4*j - 18 = 2. Let y(z) = -z - 5. Let a be y(-7). Find the third derivative of -2*t**2 + x*t**a + 4*t**3 - t**3 wrt t.
18
Let v(q) = 2*q**2 + 5*q + 4. Let i be v(-2). What is the derivative of 7 - 4*m**3 - 5*m**2 + 5*m**i - 1 wrt m?
-12*m**2
Let z(q) = 403*q**2 + 96*q. Let w(t) = t**2 - 5*t. Let m(v) = 2*w(v) - z(v). Find the second derivative of m(h) wrt h.
-802
Let h(k) be the first derivative of 2*k**4 + 0 - 5 - 7 + 4*k. Find the first derivative of h(g) wrt g.
24*g**2
Let b = 6 - 4. Let h = 38 - 34. Find the third derivative of -7*l**4 + 2*l**b + 2*l**h - 2*l**2 + 6*l**2 wrt l.
-120*l
Find the third derivative of -5*v**2 - 50 + 49*v**4 + 49 + v**2 wrt v.
1176*v
Let r(k) be the first derivative of 40*k**3/3 - 3*k**2/2 - 32*k - 95. What is the first derivative of r(t) wrt t?
80*t - 3
Let o = 44 + -41. Find the second derivative of 20*s**3 + 34*s**3 - 9*s**o + 20*s wrt s.
270*s
Let s(j) be the third derivative of -j**9/15120 + j**6/60 - 7*j**5/20 - 18*j**2. Let v(i) be the third derivative of s(i). What is the derivative of v(p) wrt p?
-12*p**2
Suppose 5*p - 39 = 5*d - 104, -2*d + 18 = 2*p. What is the third derivative of 65*b**6 + d*b**2 - 46*b**6 - 41*b**2 wrt b?
2280*b**3
What is the second derivative of 737*p**3 + 3*p - 148 + 52*p**3 + 15 wrt p?
4734*p
Let f(s) = 38*s**2 + s + 2. Let r be f(2). Find the third derivative of -142*l**2 + r*l**2 + 3*l**4 + 9*l**4 wrt l.
288*l
Let t(z) be the third derivative of 361*z**8/336 - z**7/105 + z**4/24 - 50*z**3/3 - z**2 + 51*z. What is the second derivative of t(h) wrt h?
7220*h**3 - 24*h**2
Let p(v) = 326*v**4 + 11*v**2 - 80*v + 11. Let h(g) = -65*g**4 - 2*g**2 + 16*g - 2. Let z(f) = -11*h(f) - 2*p(f). Find the second derivative of z(x) wrt x.
756*x**2
Differentiate -23 + 28 + 59*f**4 - 64 wrt f.
236*f**3
Suppose 0*h - 12 = -2*h. Suppose a = -2*a + h. What is the third derivative of 3*f**4 - 2*f**a - 4*f**4 + 3*f**2 wrt f?
-24*f
Let u(z) = 68*z**4 + z**3 + z**2 - 19*z + 6. Let j(h) = 2*h**5 - h**4 + h**3 + h**2 + h. Let t(v) = -j(v) + u(v). What is the second derivative of t(g) wrt g?
-40*g**3 + 828*g**2
Let m be 70/(-7)*(-22)/4. Suppose 0 = -6*a + a + m. Find the third derivative of a*f + 4*f**2 - 11*f + 5*f**4 + 0*f**2 wrt f.
120*f
Let q = 3 - 1. Let c be 5/(q + 2 - 3). What is the second derivative of 5*g**2 - g**2 + g + g**2 - c*g wrt g?
10
Let z(n) be the third derivative of 0*n**7 + 0*n + 0 - 5/336*n**8 + 0*n**6 + 23*n**2 + 0*n**5 + 0*n**3 - 1/6*n**4. What is the second derivative of z(g) wrt g?
-100*g**3
Let h = -14 + 17. Find the first derivative of -h - 2*g**3 + 16 + 12*g**3 + 0*g**3 wrt g.
30*g**2
Let i(w) be the third derivative of 7*w**5/6 - 9*w**4 - 140*w**2. Find the second derivative of i(p) wrt p.
140
Let q be (-12)/(-16) - (-266)/8. Let k = q + -21. Find the third derivative of -k*l**6 - 12*l**6 + 36*l**6 - 2*l**2 wrt l.
1320*l**3
Let z(h) = h**4 + h**3. Let r(c) = -2*c**5 - 6*c**4 - 6*c**3 + 129*c**2 + 59*c. Let o(l) = -r(l) - 6*z(l). What is the second derivative of o(q) wrt q?
40*q**3 - 258
Let a(b) = 3*b**4 + 266*b**2 - 219*b + 7. Let t(y) = y**4 + 89*y**2 - 73*y + 2. Let n(m) = 2*a(m) - 7*t(m). What is the second derivative of n(s) wrt s?
-12*s**2 - 182
Suppose 0 = -2*d + 2 + 2. What is the derivative of -15 + d*c + 5*c + 0*c + c wrt c?
8
Let q(f) be the third derivative of f**9/504 - f**5/40 - 29*f**4/24 + 7*f**2. Let y(o) be the second derivative of q(o). What is the derivative of y(h) wrt h?
120*h**3
Let q(c) = -67*c**3 + 11*c**2 - 2*c - 5. Let g(f) = 134*f**3 - 22*f**2 + 5*f + 11. Let b(v) = -2*g(v) - 5*q(v). What is the third derivative of b(r) wrt r?
402
Let h(i) = 15*i + 9*i + 39 - 19*i + 21*i**2. Let z(c) = 10*c**2 + 2*c + 19. Let v(p) = -2*h(p) + 5*z(p). Find the first derivative of v(y) wrt y.
16*y
Let b(j) = -13*j**2 + 6*j + 15. Let a(d) = 11*d**2 - 4*d - 14. Let m(g) = 3*a(g) + 2*b(g). Find the first derivative of m(x) wrt x.
14*x
Let r = 1977/830 + 3/166. Let z(k) be the first derivative of 0*k + 0*k**4 - r*k**5 - 14 - 3/2*k**2 + 0*k**3. Find the second derivative of z(y) wrt y.
-144*y**2
Let m(w) be the first derivative of 7*w**5/5 - 23*w**4/4 + 5