*5 - o**5 + 12*o wrt o?
180*o**3
Let p = 208 - 207. What is the first derivative of 15*c**3 + p + 4 + 7*c**3 - 47*c**3 + c wrt c?
-75*c**2 + 1
Let f = -29 - -33. Suppose 5*l - 25 = -5*o, 0 = -2*o - 0*o - f*l. Find the third derivative of 19*g**4 + 8*g**4 - 9*g**4 + o*g**2 - 5*g**4 wrt g.
312*g
Let l = -76 + 167. Find the second derivative of 5*m - l*m**2 - 14*m + 5*m wrt m.
-182
Let a(m) be the first derivative of -4041*m**7/7 + m**3/3 + 1325*m**2/2 + 2*m - 8528. Find the third derivative of a(k) wrt k.
-484920*k**3
Let h(o) be the second derivative of 39 - 97/2*o**2 - 5*o + 0*o**3 + 0*o**4 + 59/10*o**5. Differentiate h(u) wrt u.
354*u**2
Suppose -2*l + 44 = 3*o, -12*o - 72 = -2*l - 8*o. What is the derivative of k + 20*k**4 + 29*k**2 - l*k**2 - 112 - k wrt k?
80*k**3 + 2*k
Let g(y) be the second derivative of 1095*y**4/2 + 2*y**3/3 - 280*y**2 + 1763*y. Find the second derivative of g(i) wrt i.
13140
Let r(j) = 3*j - 18. Let l be r(9). Find the third derivative of -2*u**6 + 38*u**2 - l*u**6 - 52*u**2 - 3*u**3 wrt u.
-1320*u**3 - 18
Let g(b) = -8798*b**2 + 30*b - 921. Let f(v) = -4399*v**2 + 18*v - 461. Let n(w) = 5*f(w) - 3*g(w). Differentiate n(o) wrt o.
8798*o
Let g(v) = -v**4 - v**3 - v**2 + v + 14. Let d(r) = -7365*r**4 + 5*r**3 + 5*r**2 - 5*r + 2067. Let o(n) = d(n) + 5*g(n). Differentiate o(j) with respect to j.
-29480*j**3
Let z(f) = 4305*f**2 - 2998. Let y(h) = -83*h**2 - 1. Let v(x) = -5*y(x) + z(x). Differentiate v(j) with respect to j.
9440*j
Suppose 21*s - 9*s = 264. Differentiate 84 - 15 - 11 + 60 + s + 161*q with respect to q.
161
Let z(m) = -m**2 + 9*m + 12. Let y be z(10). Let h be 3/4 + 1539/76 + 0. What is the third derivative of h*f**5 + 0*f**5 + f**y - 9*f**2 wrt f?
1260*f**2
Suppose 12*q - 5*q = 12*q - 15. Let y(u) be the third derivative of -19*u**2 - 4/3*u**4 + 0 + 0*u + 16/3*u**q. Differentiate y(v) wrt v.
-32
Let q be -1 + (-3)/3 - -40. Find the second derivative of -q*k**2 + 86*k**2 - 47*k - 42*k**2 + 5*k**3 wrt k.
30*k + 12
Suppose 476*a = 498*a - 88. Let r(n) be the second derivative of 3/2*n**2 + n + 0*n**a + 4/5*n**6 + 0*n**5 + 0 + 0*n**3. Differentiate r(c) wrt c.
96*c**3
Let c(p) = -p**2 + 18*p - 14. Let d be c(8). Differentiate 104*w - 191*w - 3*w**2 + 94*w - d with respect to w.
-6*w + 7
Find the third derivative of 735*d**6 + 50*d**6 + 630*d**2 - 4*d - 50*d**2 + 2*d wrt d.
94200*d**3
Let v = -433 + 477. Differentiate -9 + 140 - 5*o - v + 97 + 9*o**2 + 0*o with respect to o.
18*o - 5
Let z(n) be the second derivative of -n**4/12 - 2384*n**3/3 + 1497*n**2/2 - 3*n + 502. Differentiate z(d) wrt d.
-2*d - 4768
Suppose -7*a + 6*a - 3*l = 6, -a = 2*l + 3. Differentiate -5 - 3820*s**3 + 11 + 3819*s**a - 131*s with respect to s.
-3*s**2 - 131
Let y(a) be the second derivative of 7*a**6/30 + a**3/6 - 317*a**2 - 1007*a + 2. What is the derivative of y(w) wrt w?
28*w**3 + 1
Let c(s) = s**2 + 14*s - 150. Let z be c(-23). Suppose -41 = -t - 5*g, t - 121 = -t + 3*g. Find the first derivative of 7 - z*d - t*d + 114*d wrt d.
1
Suppose 4*k + 65 - 393 = -5*l, -2*l = 2*k - 164. What is the first derivative of k*g + 70*g - 37*g + 64*g - 62 - 12*g wrt g?
167
Let w(j) be the third derivative of -2104*j**7/105 + 28*j**4 + j**3/6 - 149*j**2 + 5*j. Find the second derivative of w(i) wrt i.
-50496*i**2
Suppose -1725 = -65*j + 225. Suppose 2*l = -3*l + 385. Find the first derivative of 151 - j*p**4 - l - 38 wrt p.
-120*p**3
Let z(b) = -b**3 + 6*b**2 - 3*b + 20. Let a be z(6). What is the third derivative of -2 + 2 + 205*i**a - 185*i**2 + i**3 wrt i?
6
What is the second derivative of 2*f**3 - 46 + 151*f + 27 + 18 + 5*f**4 - 4*f**4 + 224*f - 20*f**2 wrt f?
12*f**2 + 12*f - 40
Let d(m) = 11000*m**3 - 12761*m**2 + 7*m + 7. Let s(i) = 5509*i**3 - 6380*i**2 + 3*i + 3. Let h(b) = -3*d(b) + 7*s(b). Find the third derivative of h(p) wrt p.
33378
Let c(s) be the second derivative of 23/12*s**4 + 53/3*s**3 - 18*s + 0*s**2 + 2. What is the second derivative of c(w) wrt w?
46
Let s(i) be the first derivative of i**5/5 - i**4/4 + 263*i**3/3 + 4381*i + 10540. What is the derivative of s(f) wrt f?
4*f**3 - 3*f**2 + 526*f
Let n(d) be the third derivative of 1285*d**8/336 + 117*d**5/10 + d**3/6 + 902*d**2. Find the third derivative of n(y) wrt y.
77100*y**2
Let h(r) = -3*r**2 - 7*r - 2. Let i be h(6). Let z be (0 + -2)/(16/i). Find the third derivative of 13*d**2 + z*d**6 + 14*d**6 - 4*d**6 wrt d.
3480*d**3
Differentiate 1524*p**4 - 1651 - 625*p**4 + 311*p**4 + 1213*p**4 - 199*p**4 with respect to p.
8896*p**3
Let r be (-633)/(-15) - 3/15. Let w be (-12)/r + 30/7. Find the second derivative of -9 + 5 - w*c + 4 + 2*c**2 wrt c.
4
Let d(y) be the first derivative of 12*y**4 - 319*y**3/6 - y**2 - 226*y + 318. Let s(b) be the second derivative of d(b). Differentiate s(l) with respect to l.
288
Let t(f) = 1052*f**2 - 299*f - 5. Let j(b) = -2*b**2 + b - 1. Let m(h) = -5*j(h) + t(h). Find the second derivative of m(s) wrt s.
2124
Let i(n) = 2*n**3 + 6*n**2 + 2. Let q be i(-3). What is the first derivative of -6 - 34*u + 40*u + 132 + 10*u**q wrt u?
20*u + 6
Suppose 0 = -5*z - 33 + 138. Let v be (0 - -1)*(-60 + 67). Find the first derivative of v + 8 - z*c**2 + 2 - 2 wrt c.
-42*c
Differentiate -12*x**2 - 11 + 35 + 8*x**4 - 14 + 3 wrt x.
32*x**3 - 24*x
Let w(v) be the first derivative of -55*v**4 - 3 + 13 + 68*v + 19 + 229. What is the first derivative of w(f) wrt f?
-660*f**2
Find the second derivative of -1949*n - 2868*n - 1294*n**4 - 1 + 991*n - 890*n**4 + 0 wrt n.
-26208*n**2
What is the third derivative of -23*c**2 - 69*c**5 - 974*c**2 - 25*c**5 wrt c?
-5640*c**2
Let d = 175 + -172. Find the third derivative of 8*f**d - 39*f**2 + f**3 - 19*f**2 wrt f.
54
Let u(r) = -2*r**2 + 20*r + 1. Let v(k) = 5776*k**2 + 6786*k + 14. Let f(s) = 14*u(s) - v(s). What is the second derivative of f(i) wrt i?
-11608
Let q(t) be the first derivative of -6*t + 4/3*t**3 + 3*t**4 + 0*t**2 + 64. What is the third derivative of q(w) wrt w?
72
What is the second derivative of a + 1317*a**2 + 1422 - 447 - 2*a - 483 - 464 wrt a?
2634
Let a(r) = 485*r**3 + 3*r**2 - 5441*r - 1. Let u(i) = 3*i**3 + i**2 - 3*i + 1. Let n(z) = a(z) + 2*u(z). Find the second derivative of n(c) wrt c.
2946*c + 10
Let k(h) be the first derivative of 1813*h**3 - 586*h + 2381. What is the first derivative of k(a) wrt a?
10878*a
Let g = -418 + 420. Find the second derivative of 58*w + 131*w**g + 52*w + 178*w wrt w.
262
Let h(r) = -12336*r**3 - 8*r**2 - 4*r + 10638. Let f(m) = m**3 - 2*m**2 - m + 3. Let l(b) = 4*f(b) - h(b). Find the first derivative of l(s) wrt s.
37020*s**2
Let g(w) be the first derivative of 2*w + 0*w**5 + 13/3*w**3 - 14*w**6 + 0*w**4 + 223 + 0*w**2. What is the third derivative of g(o) wrt o?
-5040*o**2
Find the third derivative of -85*p**6 - 98*p**6 + 279*p**6 + 601*p**2 + 102*p**3 + 131*p**3 - 98*p**6 wrt p.
-240*p**3 + 1398
Find the second derivative of 356*v + 65925*v**5 - 32284*v**5 + 1 - 31589*v**5 wrt v.
41040*v**3
Let a(g) = -3576*g + 5515. Let t(p) = -1859*p + 2757. Let f(c) = 4*a(c) - 9*t(c). Find the first derivative of f(u) wrt u.
2427
Let f be -40*(7 - (-37)/(-5)). What is the third derivative of 26*p**3 - p**6 - 13 + f*p**3 + 6 + 1 + 5 - 32*p**2 wrt p?
-120*p**3 + 252
Let x(b) = 243*b**3 + b**2 - 56*b - 10. Let y(i) = 1216*i**3 + 5*i**2 - 278*i - 55. Let q(p) = -11*x(p) + 2*y(p). What is the second derivative of q(t) wrt t?
-1446*t - 2
Let d(u) be the second derivative of u**6/12 + u**5/6 - 31*u**4/12 + 18*u + 1. Let s(i) be the third derivative of d(i). Differentiate s(q) with respect to q.
60
Suppose 0 = -8*k + 14715 - 2171. Find the first derivative of -6*v**4 - 6*v**4 + k - 1492 - 7*v**3 + 0*v**4 wrt v.
-48*v**3 - 21*v**2
Differentiate -180328138*f + 180328138*f - 3926 - 1278*f**4 + 93*f**4 with respect to f.
-4740*f**3
Let f = 59 + -56. Suppose 3*g = f*q + 2*g - 10, -2*g - 8 = 0. Find the third derivative of 11*b**q - 242*b**3 - 36*b**6 + 480*b**3 - 238*b**3 wrt b.
-4320*b**3
Let r(n) be the first derivative of -3*n**5/5 + 790*n**3/3 + n**2/2 - 4754*n + 3616. Differentiate r(x) with respect to x.
-12*x**3 + 1580*x + 1
Let i(p) be the third derivative of 327*p**4/8 + 5461*p**3/6 + 94*p**2 + 9*p. Differentiate i(b) wrt b.
981
Let y(u) be the first derivative of -2*u**7/7 -