- 17*c**3 + x*c**3 + 0*c + 0*c with respect to c.
3*c**2
Let x(g) be the first derivative of -g**7/10 - g**3 + 14*g**2 + 14. Let n(q) be the second derivative of x(q). Differentiate n(z) with respect to z.
-84*z**3
Let j be 12/9 - (-285)/9. Suppose -x = -4*y + j, -4*y = -x - x - 38. What is the first derivative of 12*m**3 - y*m**3 - 6*m**3 + 3 - 15 wrt m?
-3*m**2
Let r = -415 - -420. Let i be (-2)/(-7) + 38/14. Find the third derivative of -31*h**5 + i*h**6 + 31*h**r + 2*h**2 wrt h.
360*h**3
Let r(x) be the third derivative of -17*x**2 + 11/105*x**7 - 1/5*x**5 + 0*x + 0*x**4 + 0 + 0*x**6 + 0*x**3. Find the third derivative of r(w) wrt w.
528*w
Let j(m) = 179*m**3 + 7*m**2 - 16*m - 46. Let a(n) = -268*n**3 - 10*n**2 + 23*n + 68. Let t(x) = 5*a(x) + 7*j(x). Find the second derivative of t(w) wrt w.
-522*w - 2
Let o(b) = -88*b**3 - 17*b**2 - 4*b + 198. Let f(y) = 177*y**3 + 41*y**2 + 9*y - 396. Let h(n) = -3*f(n) - 7*o(n). What is the second derivative of h(u) wrt u?
510*u - 8
Find the third derivative of l**2 - 3*l**2 + 19 + 68*l**3 + 102*l**3 - 44 wrt l.
1020
Find the third derivative of 2*a**3 + a**2 + 2*a**2 - 17*a**4 - 12*a - 7*a**3 - 7*a**3 + 10*a**3 wrt a.
-408*a - 12
Let q(w) = -8*w**3 + 5*w**2 - 5*w - 7. Let u(c) = 22*c**3 - 14*c**2 + 14*c + 21. Let y(p) = -8*q(p) - 3*u(p). What is the second derivative of y(n) wrt n?
-12*n + 4
Let d(f) = -9*f**4 - 3*f**3 - 5*f**2 - 4*f + 10. Let k(s) = -s**3 - s**2 + 1. Let g(n) = -d(n) + 5*k(n). Find the second derivative of g(v) wrt v.
108*v**2 - 12*v
Differentiate 229 - 902 - 6*h**2 + 8*h**2 - 42*h**2 - 40*h**2 wrt h.
-160*h
Let n(u) be the first derivative of -u**7/420 + u**4/4 - 4*u**3 - 9. Let a(s) be the third derivative of n(s). What is the first derivative of a(p) wrt p?
-6*p**2
Let a(z) be the first derivative of z**2 - 563*z - 330. What is the derivative of a(t) wrt t?
2
Suppose -4*g - x = -2, 4*g + x = -4*x + 10. Suppose g = -2*h + 4*r, -3*r = -2*h - r. Find the first derivative of h*w**3 - 2*w**3 + w**3 + 1 wrt w.
-3*w**2
Find the second derivative of 9259*p + 149*p**2 + 2 + 1 - 9263*p - 58*p**2 - 4 wrt p.
182
Let b(j) be the second derivative of 59*j**4/4 - 109*j**3/2 + 669*j. What is the second derivative of b(k) wrt k?
354
Let b(o) be the second derivative of 7*o**5/20 - o**4/2 + 71*o**3/2 - 15*o + 4. Find the second derivative of b(s) wrt s.
42*s - 12
Let t = -14 - -39. Let b = t - 20. Find the third derivative of 7*f**2 + 2*f**2 + f**2 - b*f**5 + 4*f**2 wrt f.
-300*f**2
Let d be (-3)/(-3 + (-57)/(-20)). Suppose -10 = 5*v - d. What is the third derivative of t**3 + 2*t**6 - t**3 - 2*t**v + t**2 wrt t?
240*t**3
Let i(j) be the third derivative of j**9/3024 + j**5/40 + j**4/8 - 7*j**2. Let g(w) be the second derivative of i(w). What is the derivative of g(a) wrt a?
20*a**3
Find the third derivative of 66*s**2 + 32*s + s**2 - 63*s + 31*s - 280*s**6 wrt s.
-33600*s**3
Let n(b) be the first derivative of b**5/5 - 97*b**4/4 - 59*b**2/2 - 129. What is the second derivative of n(c) wrt c?
12*c**2 - 582*c
Find the third derivative of 12*g**3 - 50*g**2 - 57270 + 57270 wrt g.
72
What is the second derivative of 172*r - 147*r**4 - 472*r**5 - 740*r + 68*r**4 + 79*r**4 wrt r?
-9440*r**3
Let k(x) = -3*x**2 + 14*x + 2. Let v(p) = -2*p**2 + 2*p**2 + 1 + p**2 - 2*p**2. Let r(z) = k(z) - 2*v(z). Find the second derivative of r(c) wrt c.
-2
Differentiate 106*d**2 + 24*d**2 + 27 - 28 wrt d.
260*d
What is the derivative of 361*p**4 - 13*p**2 + 23*p**2 + 138 - 345*p**4 wrt p?
64*p**3 + 20*p
What is the second derivative of 54 - 13 + 0 + 19 - 194*f**2 + 3*f + 6 wrt f?
-388
Let v(b) = -6*b**3 - 2*b - 2. Let q be (0 - 9)*(-3)/(-3). Let d = q + 7. Let n(g) = -g**3 - g. Let c(k) = d*n(k) + v(k). What is the derivative of c(i) wrt i?
-12*i**2
Let j(s) be the third derivative of s**6/120 - s**4/12 + s**3/6 - 9*s**2. Let l(t) = t**3 - t - 1. Let w(k) = j(k) - 2*l(k). Differentiate w(r) wrt r.
-3*r**2
Let f(o) = 61*o**3 - 56*o**2 + 6*o + 3. Let l(m) = -61*m**3 + 56*m**2 - 8*m - 4. Let x(g) = 4*f(g) + 3*l(g). Find the third derivative of x(s) wrt s.
366
Let u(h) = 13*h**2 + 0*h**3 - h**3 - 13*h**2. Let j(k) = -13*k**4 + 52*k**3 - 13. Let p(b) = j(b) + 52*u(b). What is the first derivative of p(l) wrt l?
-52*l**3
Suppose -5*m - 40 = -m. Let b(w) = -w**3 - 10*w**2 + 4. Let f be b(m). Find the second derivative of s + 2*s - s - 4*s**f - 4*s wrt s.
-48*s**2
What is the second derivative of 4*g - 1 - 1212*g**2 - g**5 + 1212*g**2 - 4*g**4 wrt g?
-20*g**3 - 48*g**2
Let z be 4/(-12) + 181/3. Suppose -z = -5*k - 15. Find the second derivative of 2*w - 4*w**3 - k*w + 0*w**3 wrt w.
-24*w
Let s(m) be the second derivative of m**11/6930 - m**7/252 - 5*m**4/12 + 2*m. Let z(u) be the third derivative of s(u). Find the third derivative of z(f) wrt f.
960*f**3
Let s(o) be the first derivative of 7*o**4/12 + 37*o**3/6 - 11*o + 12. Let a(l) be the first derivative of s(l). Find the second derivative of a(f) wrt f.
14
Let g(z) be the third derivative of 2*z**7/105 + z**6/40 + z**5/3 + z**3/6 + 9*z**2 - 6*z. What is the third derivative of g(k) wrt k?
96*k + 18
Let p(m) be the third derivative of 0*m + 0*m**3 + 0 + 9*m**2 + 0*m**6 + 5/42*m**7 + 1/5*m**5 + 0*m**4. What is the third derivative of p(o) wrt o?
600*o
What is the second derivative of -36*i - 114*i**2 + 13*i + 2*i + 12*i - 7 wrt i?
-228
Let d(c) = 14*c**5 + 4*c**3 - 240*c - 4. Let t(f) = 14*f**5 + 3*f**3 - 239*f - 3. Let z(y) = 3*d(y) - 4*t(y). Find the second derivative of z(b) wrt b.
-280*b**3
Let s(w) = 76*w**3 + 3*w**2 + 15*w - 1. Let p(i) = -154*i**3 - 7*i**2 - 31*i + 3. Let t(l) = -3*p(l) - 7*s(l). What is the second derivative of t(d) wrt d?
-420*d
Let z(y) be the second derivative of 3*y**6/10 + y**5 + y**3 + y**2 - 534*y. Find the second derivative of z(d) wrt d.
108*d**2 + 120*d
Let x(r) = r**2. Let f(d) = 2*d**3 + 6*d**2 - 47*d + 30. Let w(o) = f(o) - 6*x(o). What is the first derivative of w(l) wrt l?
6*l**2 - 47
Let z(t) be the third derivative of t**8/210 - t**7/90 + 29*t**4/24 + t**2. Let w(h) be the second derivative of z(h). Find the third derivative of w(m) wrt m.
192
Differentiate 9*r**2 + 5*r + 41 - 3*r**2 - 3*r + 55 wrt r.
12*r + 2
Let c(w) be the third derivative of -41*w**9/84 - w**5/12 + w**4/12 - 5*w**2 + 4. What is the third derivative of c(u) wrt u?
-29520*u**3
Suppose 0 = 4*z + 5*r + 3, 0 = -5*r - 3 - 12. Find the second derivative of -5*k**z + 5*k + k + 11*k - k wrt k.
-30*k
Suppose 4*l - 8*l + 24 = 0. Let h be (-64)/(-24) - 4/l. Differentiate 2*y**2 + 0*y**2 + 0*y**h + 7*y**2 - 4 with respect to y.
18*y
Suppose -2*s = -4*t - 0*t + 4, -10 = -5*s. Find the second derivative of 0*o**2 - 3*o**2 + 2*o**t + 18*o + 10*o**2 wrt o.
18
Let t be 2*-177*(10/(-4) + 2). Find the second derivative of -177*p**3 + 30*p**4 + 30*p + t*p**3 wrt p.
360*p**2
Let i be 7 + 5 + 27/(-3). What is the second derivative of -1 + 35*z + 545*z**i - 591*z**3 + 1 wrt z?
-276*z
Let b(d) = -319*d**2 + 8*d + 228. Let p(i) = 316*i**2 - 6*i - 229. Let s(r) = 3*b(r) + 4*p(r). What is the derivative of s(x) wrt x?
614*x
Differentiate 722*t + 156*t**3 - 722*t - 237 with respect to t.
468*t**2
Let o(s) = s - 1. Let n(k) = -150*k + 20. Let c(t) = n(t) + 5*o(t). Differentiate c(r) wrt r.
-145
Differentiate 34*i**4 + 17 + 37*i - 2*i**2 - 37*i + 103 wrt i.
136*i**3 - 4*i
Let o(s) = -s**2 + 4*s + 11. Let w be o(6). Let d be w/(-4 - (-60)/16). Find the third derivative of 9*u - 2*u**2 - 9*u - d*u**3 - 4*u**2 wrt u.
-24
Let g(x) be the second derivative of 0*x**3 + 0*x**2 + 0*x**7 + 0*x**6 + 0*x**5 + 3/4*x**4 - 5*x + 5/56*x**8 + 0. Find the third derivative of g(t) wrt t.
600*t**3
Suppose -t + 54 = -2*q - 0*q, 69 = t - 5*q. Find the third derivative of t*l**4 - 32*l**4 - 26*l**4 - 12*l**2 wrt l.
-336*l
Find the second derivative of q**2 - 19*q + 33*q**3 - 15*q - 51*q + q**2 + 1 + q**2 wrt q.
198*q + 6
Let u(w) = 385*w**2 + 203*w + 6. Let p(t) = 3080*t**2 + 1625*t + 50. Let l(c) = -3*p(c) + 25*u(c). Find the second derivative of l(s) wrt s.
770
Let p(g) = -51*g + 616. Let m be p(12). Let i(t) be the first derivative of 0*t**2 - m + 0*t + 5/2*t**4 + 4/3*t**3. Find the third derivative of i(j) wrt j.
60
Find the third derivative of -s - 71*s**3 + 21*s**3 - 343*s**2 + 21*s**3 + s wrt s.
-174
Let i(