*2
What is the second derivative of 3422*c**2 - 976*c**2 - 822*c - 869*c**2 - 6731*c + 3671*c**2 wrt c?
10496
Suppose -226 = -10*d + 1534. What is the third derivative of 83*c**3 - d*c**2 - 78*c**2 + 182*c**2 + 4*c**3 wrt c?
522
Let d(p) be the third derivative of -163*p**4/6 + 595*p**3/2 + 1499*p**2. Find the first derivative of d(n) wrt n.
-652
What is the second derivative of 989 - 1973 + 984 + 0*y**3 + 6*y**3 + 5*y**2 + 1336*y wrt y?
36*y + 10
Suppose 0 = v - 5 - 36. Find the second derivative of 2 + 7193*r - v*r**5 - 7196*r - 43*r**5 wrt r.
-1680*r**3
Let q be (-8)/24 + ((-110)/(-3))/2. Find the third derivative of 14 - 76*z**3 - q*z**3 - 4*z**2 - 8*z**3 wrt z.
-612
Let p(u) be the first derivative of -3*u - 7/3*u**3 - 5 + 5/2*u**2. Find the second derivative of p(i) wrt i.
-14
Find the first derivative of 0*t + 19749280 + 2093*t**3 - 19748772 + t**2 - t wrt t.
6279*t**2 + 2*t - 1
Differentiate 96504 + 1129*h + 5784*h - 96425 with respect to h.
6913
Let a = 29 - 68. Let k = a + 60. What is the derivative of -k*l**4 - 18 + 21 + 16 wrt l?
-84*l**3
Suppose -5*v + 3*k = -19, -3*v - 3*k - 564 + 561 = 0. Let a(m) be the second derivative of 7/6*m**3 + 16*m + 0 + 3/2*m**v. Differentiate a(s) with respect to s.
7
Let p(n) be the third derivative of -251*n**4/2 + 2245*n**3 - 14*n**2 - 2*n + 135. What is the derivative of p(r) wrt r?
-3012
Let t = 127 - 263. Let i be t/(-12) - (-5)/(-15). Find the second derivative of 7*x - i*x**4 + 0*x - 3*x wrt x.
-132*x**2
Let f(i) = -5*i**3 - 12*i**2 - 273*i + 893. Let o(t) = -9*t**3 - 22*t**2 - 548*t + 1784. Let c(k) = 11*f(k) - 6*o(k). Differentiate c(m) with respect to m.
-3*m**2 + 285
Let q(x) = -195*x - 12123. Let k(r) = -338*r - 24245. Let n(u) = 4*k(u) - 7*q(u). Find the first derivative of n(f) wrt f.
13
Let v be ((-20)/5)/((-20)/55). Let g be 1/(v/2 - 3 - 2). What is the third derivative of 52*i**g + 22*i**6 - 13*i**2 - 18*i**6 wrt i?
480*i**3
Differentiate 879 + 245*b**4 + 78 - 326*b**4 - 2*b**3 + 243 + 0*b**3 wrt b.
-324*b**3 - 6*b**2
Let d be 13 + -5 + 10/(0 + -2). What is the second derivative of j**3 - 3473*j**2 - 3*j**d + 3428*j**2 - 128*j wrt j?
-12*j - 90
Let w(z) = -5904*z**4 + 5*z**2 - 5*z - 2502. Let u(j) = j**2 - j - 5. Let k(n) = 5*u(n) - w(n). Find the first derivative of k(m) wrt m.
23616*m**3
Let j(z) = -916*z - 22. Let f be j(-3). Find the third derivative of 1401*p**2 - f*p**2 + 1394*p**2 + 85*p**6 wrt p.
10200*p**3
Let l(n) = n**2 + 115*n + 5. Let t be l(0). Let x(h) be the first derivative of 0*h - 2/3*h**3 - t*h**2 + 15. Find the second derivative of x(c) wrt c.
-4
Let v(c) be the second derivative of 4039*c**4/12 + 7*c**3/6 - 27*c**2/2 + 2*c + 61. Find the second derivative of v(o) wrt o.
8078
Differentiate 41*q + 2495 + 27*q**3 + 0*q**3 - 258 - 387 wrt q.
81*q**2 + 41
What is the third derivative of -987*n**2 + 378*n**4 - 60*n**4 + 277*n**4 - 280*n**2 wrt n?
14280*n
Find the third derivative of -2164*s**5 - 2165*s**5 + 165*s**6 + 3571*s**2 + 1157*s**2 + 4328*s**5 wrt s.
19800*s**3 - 60*s**2
Find the third derivative of 12 + 162*m**2 + 3*m**2 + 138*m**2 + 3*m**5 + 42*m**2 + 436*m**4 wrt m.
180*m**2 + 10464*m
Find the third derivative of 1243*n**4 - 1781*n**2 - 1556*n**2 - 2023*n**2 - 96*n**2 wrt n.
29832*n
Let v(f) be the first derivative of -27*f**4/8 - 19*f**3/6 - 47*f**2/2 + 61. Let k(l) be the second derivative of v(l). What is the derivative of k(w) wrt w?
-81
Let k(g) be the second derivative of -7/20*g**5 - 5/6*g**3 - 1/2*g**2 + 0 + 1/12*g**4 + 10*g. What is the second derivative of k(l) wrt l?
-42*l + 2
Let b(s) = 30*s**4 + 41*s**3 - 5*s**2 + 3154. Let p(f) = -44*f**4 - 62*f**3 + 7*f**2 - 4731. Let x(n) = -7*b(n) - 5*p(n). Differentiate x(y) wrt y.
40*y**3 + 69*y**2
Let c(s) = -598*s**3 - 5*s**2 - 4*s + 52. Let u(f) = -1196*f**3 - 10*f**2 - 9*f + 105. Let d(i) = -9*c(i) + 4*u(i). What is the third derivative of d(z) wrt z?
3588
Let y = -26839 + 53689/2. Let a(s) be the first derivative of y*s**2 + 40*s + 19. What is the first derivative of a(i) wrt i?
11
Let o = -220 + 222. Find the second derivative of 153*h + 1 + 2762*h**4 - 2*h**2 - 2*h**o + 12*h**2 - 2769*h**4 wrt h.
-84*h**2 + 16
Differentiate 116 - 2559*n + 995*n + 198*n + 1280 wrt n.
-1366
Let t(m) be the second derivative of 0 + 0*m**3 + 0*m**4 + 77/10*m**5 + 22*m**2 + 128*m. What is the first derivative of t(g) wrt g?
462*g**2
What is the second derivative of 4950*g + g**2 + 52554*g**3 - 26575*g**3 - 26499*g**3 wrt g?
-3120*g + 2
Let i(v) = -3*v + 3. Let m be i(-3). Let p be -4 + -1 + 0 + 10 + 15. What is the derivative of -m*w**3 - p + 17*w**3 + 5*w**3 wrt w?
30*w**2
Let n(w) be the second derivative of -217*w**6/5 + w**3/6 + 305*w**2/2 - 2648*w - 1. What is the derivative of n(s) wrt s?
-5208*s**3 + 1
Let w(i) be the third derivative of -1249*i**5/60 - 185*i**3 + 417*i**2 + 2. Differentiate w(t) wrt t.
-2498*t
Suppose 7*f + 750 = -3*f. Let v = f - -80. Find the second derivative of -15*i**v + 2*i + i - 10*i - 9*i**5 wrt i.
-480*i**3
Let p(o) be the first derivative of -o**3 + 197*o**2/2 - 1737*o - 1756. Find the first derivative of p(d) wrt d.
-6*d + 197
Let g(x) = -5184*x**3 + 28*x**2 + 5272. Let f(j) = 1037*j**3 - 6*j**2 - 1054. Let r(l) = -28*f(l) - 6*g(l). Find the first derivative of r(v) wrt v.
6204*v**2
Let v(i) = -i**4 + i**3 - i**2 - 4*i. Let s(t) = -19*t**4 + 21*t**3 - 6*t**2 - 36*t - 2147. Let n(z) = s(z) - 9*v(z). What is the derivative of n(b) wrt b?
-40*b**3 + 36*b**2 + 6*b
Let b = -33 - -69. Suppose 2*z - 2*a = 104, 2*z - 3*a = 73 + b. What is the third derivative of 32*t**2 - 22*t**6 - z*t + 47*t wrt t?
-2640*t**3
Let w(x) = -9*x + 0 - 10*x - 8. Let f(u) = -37*u - 16. Suppose -3*q + 31 = 4*v, -3*q + 2*v + 32 = 7*v. Let h(o) = q*w(o) - 4*f(o). Differentiate h(r) wrt r.
-23
Let p(w) be the third derivative of 1/30*w**6 - 1/30*w**5 + 0*w + 0 - 27/2*w**3 + 0*w**4 - 14*w**2. What is the first derivative of p(o) wrt o?
12*o**2 - 4*o
Let b = 3 + -3. Suppose -28*v + 48 = -260. Find the second derivative of -v*k**5 - k**5 + b*k + 2*k + 8*k**5 wrt k.
-80*k**3
Differentiate 25*o**3 + 73*o - 21*o - 149*o**4 + 298*o**4 + 358 - 150*o**4 with respect to o.
-4*o**3 + 75*o**2 + 52
Suppose 7666 - 7567 = 9*n. Let x(q) be the first derivative of 6*q + 5/2*q**2 + n. What is the first derivative of x(c) wrt c?
5
Let h = -97 + 156. What is the third derivative of -h*z**5 + 80*z**5 - 60*z**2 - 85*z**5 wrt z?
-3840*z**2
Suppose -494*v = -488*v - 438. What is the second derivative of -2 + 300*s - v*s**5 - 127*s - 135*s wrt s?
-1460*s**3
Differentiate -466 + 643 + 365*b + 220*b + 370 wrt b.
585
Suppose -2 = -4*n + 3*k, -3*n - 3*k = -5*n - 2. Let l = 49 + -46. Find the third derivative of -x**2 + 5*x**3 + 5*x**l + 5*x**2 + 6*x**n wrt x.
60
Suppose -5*u - 21 + 96 = 0. Find the second derivative of -36*l + 14*l + 21*l**4 + 10*l**4 - u*l wrt l.
372*l**2
Let a(b) = b + 15. Let x be a(-9). Differentiate -5 - x + 42*o - 3 + 0 wrt o.
42
What is the third derivative of -7*i - 67 - 259*i**2 + 48 + 266*i**2 - 3168*i**3 wrt i?
-19008
Let c(b) be the first derivative of -2/3*b**3 + 7*b + 64 + 0*b**2 - 7/4*b**4. What is the derivative of c(h) wrt h?
-21*h**2 - 4*h
What is the second derivative of 1733*s + 689*s + 4536*s**2 + 991*s wrt s?
9072
Let z(v) be the first derivative of 291*v**4 + 214*v**3 - 1370. Find the third derivative of z(n) wrt n.
6984
Find the third derivative of -4*o + 149*o**2 + 28*o - 1463*o**5 - 5*o - 6*o - 12*o wrt o.
-87780*o**2
Let x be ((-216)/(-162))/(4*(-2)/(-18)). What is the third derivative of 6*u**3 + 28*u**2 + 1 + 12*u**2 + 5*u**4 - 11*u**3 + x*u**3 wrt u?
120*u - 12
Let i(p) be the second derivative of -20*p + 3/4*p**4 + 2 + 159*p**2 + 2*p**3. What is the first derivative of i(c) wrt c?
18*c + 12
Let t(h) be the first derivative of 0*h**4 - 1/5*h**5 - 136/3*h**3 + 2*h - 15/2*h**2 - 264. Find the second derivative of t(j) wrt j.
-12*j**2 - 272
Let f = 114 - 109. Let y(q) = 2*q**5 + 16*q**3 - q + 4. Let d(z) = -2*z**5 - 16*z**3 - 3. Let j(u) = f*d(u) + 4*y(u). Find the second derivative of j(a) wrt a.
-40*a**3 - 96*a
Let c(a) = 1133*a - 115. Let i(y) = -10192*y + 1036. Let s(u) = -28*c(u) - 3*i(u). What is the derivative of s(n) wrt n?
-1148
Let h = 11 + -2. Suppose -4*o + 0*o = 3*d - 21, 0 = 5*o - 2*d