derivative of -n - 4*p**2 + 14*p**6 + 16 wrt p.
1680*p**3
Let w(a) = 139*a**3 - 3*a**2 + 3*a - 5407. Let c(s) = -413*s**3 + 8*s**2 - 11*s + 16218. Let k(n) = 3*c(n) + 8*w(n). Find the first derivative of k(r) wrt r.
-381*r**2 - 9
Suppose -87 = -5*v + 43. Find the third derivative of 64*l**5 - 11*l + 2*l**4 + v*l**2 + 125*l**2 + 5*l + 6*l wrt l.
3840*l**2 + 48*l
Let u(c) be the second derivative of 0*c**4 - 11*c**3 + 4 + 0*c**5 - 5*c + 34*c**2 + 1/30*c**6. Differentiate u(k) wrt k.
4*k**3 - 66
Let s(j) be the second derivative of 0*j**3 - 3/4*j**8 + 46*j + 0*j**7 + 0*j**6 + 0*j**5 + 1 + 0*j**2 - 89/6*j**4. Find the third derivative of s(t) wrt t.
-5040*t**3
Let s(u) be the third derivative of -2389*u**6/120 + 5*u**4/24 - 154*u**3/3 + 761*u**2. Find the second derivative of s(i) wrt i.
-14334*i
Let k(b) be the first derivative of -8*b**5/5 - 11*b**3/3 - 13*b**2/2 - 57*b - 1940. Find the second derivative of k(m) wrt m.
-96*m**2 - 22
Let j(g) = -g**3 + 11*g**2 - 2*g + 25. Suppose 21 - 10 = c. Let m be j(c). Find the third derivative of -7*z**2 - m + 12*z**4 + 3 + z**2 wrt z.
288*z
Let h(b) be the first derivative of 2125*b**4/4 + 215*b**2/2 + 1985. What is the second derivative of h(r) wrt r?
12750*r
Differentiate -2553*x**4 - 1714*x**4 + 1253*x**4 - 5579 wrt x.
-12056*x**3
Let r be 8/28 - (-68)/7. Suppose -16 = r*t - 11*t. What is the derivative of 0 + 15*k**4 + 8 + t wrt k?
60*k**3
Suppose 7*q - 2*r = 3*q + 326, 2*q - 165 = 3*r. What is the third derivative of 4379*f**2 - 4380*f**2 + 0 - 2 + q*f**3 wrt f?
486
Let w(n) be the third derivative of -1/120*n**6 - 17/3*n**3 + 0 + 0*n + 0*n**4 + 0*n**5 + 8*n**2. What is the derivative of w(j) wrt j?
-3*j**2
Let j(r) be the second derivative of -5/6*r**4 + 41/28*r**8 + 17 - 3*r - 3*r**2 + 0*r**5 + 0*r**6 + 0*r**3 + 0*r**7. What is the third derivative of j(a) wrt a?
9840*a**3
Let w(s) be the first derivative of 47*s**5/5 - 19*s**4/12 - 165*s - 123. Let k(i) be the first derivative of w(i). Find the third derivative of k(r) wrt r.
1128
Let r(t) be the second derivative of -27*t**7/2 + 37*t**4 - 1515*t. What is the third derivative of r(g) wrt g?
-34020*g**2
Let x(p) be the second derivative of -225*p**3/2 - 875*p**2/2 + 366*p. What is the first derivative of x(m) wrt m?
-675
Differentiate 97 + 694 + 433 - 7*u**2 - 34*u wrt u.
-14*u - 34
Let p(u) be the first derivative of 100 + u**2 + 143*u**5 + 3*u - 133*u**5 + 14*u. Find the second derivative of p(f) wrt f.
600*f**2
Suppose 5*z - 115 = -25. Differentiate 15 + z*v**4 - 19 + 2*v + 16 wrt v.
72*v**3 + 2
Let c(q) be the first derivative of 9*q**5/5 - 29*q**3/3 + 59*q + 686. Find the first derivative of c(k) wrt k.
36*k**3 - 58*k
Let g(j) be the second derivative of 5*j**7 - j**6/10 + 157*j**4/12 + 485*j. Find the third derivative of g(z) wrt z.
12600*z**2 - 72*z
Find the first derivative of -3809 + 64*d**2 + 71*d**2 + 695 + 4280*d**3 - 135*d**2 wrt d.
12840*d**2
Suppose -39*i - 11*i + 100 = 0. Let c(j) be the second derivative of 0*j**4 - 9/2*j**i + 0 - 1/10*j**5 + 7*j + 0*j**3. Differentiate c(g) with respect to g.
-6*g**2
Let s = -427 - -433. What is the third derivative of -36*y + s*y**3 + 192*y**2 - 100*y**2 + 6*y - 89*y**2 wrt y?
36
Let s = -143 + 145. Let d be 14/(-2)*(-16)/56. Find the second derivative of 36*i**s - 34*i**2 + d*i + 10*i**3 - 19*i**3 + 14 wrt i.
-54*i + 4
Let x(y) = -y**3 + 23*y**2 - 19*y - 51. Let l be x(22). Let t be 18/l*35/21. Find the second derivative of 12906 + 41*w**t - 12906 - 28*w wrt w.
82
Let r(i) be the second derivative of 4259*i**6/30 - 4653*i**2/2 + 2*i + 4846. What is the derivative of r(l) wrt l?
17036*l**3
Let z(h) = -54 - 2*h**2 + 18 + 15 + 20. Let m(g) = -4*g**2 + g + 42. Let b(u) = -m(u) + 6*z(u). Find the first derivative of b(t) wrt t.
-16*t - 1
Let s(z) = -2*z**4 + z**2 + 6*z. Let g(n) = 1891*n**4 + 9*n**2 + 25*n + 170. Let w(c) = g(c) - 4*s(c). What is the third derivative of w(x) wrt x?
45576*x
Let r(d) be the third derivative of -379*d**7/42 + 283*d**4/3 - 94*d**2 + d + 1. Find the second derivative of r(w) wrt w.
-22740*w**2
Let b(p) = 383*p - 232. Let z(h) = 381*h - 234. Let k(r) = -3*b(r) + 2*z(r). What is the derivative of k(a) wrt a?
-387
Suppose -2*v = -4*l - 6, -v = 10*l - 7*l - 3. Suppose l*u = 4*u - 12. Find the third derivative of 4*k**3 - 3*k**2 + 3*k**2 - 6*k**2 - 27*k**u wrt k.
-138
Suppose 0*i - 3*i - 3*t = -126, 3*t = 0. Let d(k) be the first derivative of 14*k + 7*k**2 + 24 - i + 3*k**2. Find the first derivative of d(a) wrt a.
20
Suppose 16*m - 627 = 5*m. Find the second derivative of 165 + 37*k**5 + 34*k - m - 53 - 58 wrt k.
740*k**3
Let b(w) be the third derivative of -6859*w**5/30 - 713*w**3/6 + 607*w**2 - w - 2. Differentiate b(s) with respect to s.
-27436*s
Let x(r) = 2*r**3 - r**2 - r - 3. Let t(z) = -15*z**4 - 6*z**3 - 8*z**2 + 3*z + 1132. Let s(y) = t(y) + 3*x(y). What is the first derivative of s(j) wrt j?
-60*j**3 - 22*j
What is the first derivative of -342 + 16627*w - 9592*w - 198 wrt w?
7035
Find the second derivative of 684*x + 211*x + 785*x - 1899*x**3 + x**2 - x**2 wrt x.
-11394*x
Let h(z) = 151*z**2 - 12*z. Let t(d) = 304*d**2 - 23*d - 2. Suppose i - 19*i + 36 = 0. Let p(g) = i*t(g) - 5*h(g). Find the second derivative of p(q) wrt q.
-294
Suppose 2 = 4*t - x, -3*t = -140*x + 135*x - 10. Let y(m) be the first derivative of -7/3*m**3 + 1/2*m**2 + 2 + t*m. Find the second derivative of y(w) wrt w.
-14
Suppose 4*c = -4, 5*v - 28*c - 45 = -23*c. Find the third derivative of v*p**2 + 2 + 11*p - 2*p - 34*p**4 - 9*p wrt p.
-816*p
Let t(p) = p + 3. Let f be t(0). Let d(s) = 16*s**2 + 753*s + 54. Let b be d(-47). Find the first derivative of 16 + b - f*o + 18 wrt o.
-3
Suppose 0 = -3*s - 4*s + 287. Differentiate -73 + 10*b + 96 + 11*b + s*b with respect to b.
62
Suppose 0 = 7*q + 345 - 338. Let c(d) = 2*d**4 + 12*d**2 - 2*d - 17. Let s(n) = n**2. Let u(l) = q*c(l) + 6*s(l). Find the second derivative of u(t) wrt t.
-24*t**2 - 12
Find the third derivative of -2*h - 36*h - 4*h - 40*h**2 - 4*h - 3*h**4 + 51*h + 250*h**3 wrt h.
-72*h + 1500
Let b(k) be the first derivative of 3*k**4/4 + 107*k**3/3 + 351*k + 1255. What is the derivative of b(c) wrt c?
9*c**2 + 214*c
Let y(m) be the second derivative of 45*m**8/56 - 17*m**6/6 + 8861*m**4/12 + 3827*m + 2. What is the third derivative of y(u) wrt u?
5400*u**3 - 2040*u
Let c(m) be the first derivative of 3842*m**5/5 + 950*m**2 - m - 913. What is the second derivative of c(j) wrt j?
46104*j**2
Let v = 436 - 433. What is the third derivative of -20*l**v - 29*l**3 + 3*l - 38*l**2 - 20*l**3 + 11*l**3 wrt l?
-348
Let j(u) = 464*u**3 + 67*u**2 - 6*u + 14. Let d(s) = 1393*s**3 + 201*s**2 - 16*s + 44. Let c(v) = 3*d(v) - 8*j(v). Find the third derivative of c(g) wrt g.
2802
Let r(y) be the second derivative of 0*y**5 - 1/3*y**4 + 0*y**3 + 2*y**2 + 0 - 43*y + 91/30*y**6. What is the third derivative of r(z) wrt z?
2184*z
Let m(g) be the first derivative of 3*g**7 - 29*g**4 + 475*g**3/3 - 13*g**2/2 - 13964. Find the third derivative of m(q) wrt q.
2520*q**3 - 696
Let x(m) be the third derivative of -103*m**6/120 - m**5/60 + 5*m**4/24 - 641*m**3 + m**2 - 6*m + 6. Differentiate x(c) with respect to c.
-309*c**2 - 2*c + 5
Let g be (-445)/(-60) + 42/(-56). Let u(y) be the first derivative of -15 - y**2 + g*y**3 + 0*y. Find the second derivative of u(c) wrt c.
40
Let u(m) be the second derivative of 1911*m**5/20 - 2599*m**2/2 - m - 8. What is the first derivative of u(k) wrt k?
5733*k**2
Let u be (-2)/(-3)*45/6. Let d be 5*(0 - (-2)/u). Find the third derivative of -d*k**3 + 20*k**2 - k**2 - 6*k**4 + 2*k**3 wrt k.
-144*k
Let j(c) be the third derivative of -1067*c**6/12 - 773*c**3 - 141*c**2 + 27*c. What is the first derivative of j(w) wrt w?
-32010*w**2
Let p(m) = -5. Let g(q) = 176*q - 219. Let o(y) = -g(y) - 2*p(y). Let r(w) = 351*w - 455. Let k(j) = -5*o(j) - 2*r(j). Differentiate k(x) with respect to x.
178
Let r(y) = -25*y + 164. Let z be r(5). Find the second derivative of z*g**2 - 3 + 31*g + 85*g**2 + 17*g**2 - 47*g wrt g.
282
Let q = 17 + -33. Let w be ((-12)/q)/(1/56). What is the derivative of 5*h**3 + 16*h**3 - w*h**3 - 8 wrt h?
-63*h**2
Let m(w) = -4129*w**2 - 5*w - 4001. Let y(i) = -i + 2. Let z(d) = m(d) - 5*y(d). What is the derivative