83. Find the third derivative of z*r**2 + 19*r**3 + 3*r**3 - 78*r**2 + 2 wrt r.
132
Let v(i) = -i**2 + i - 1. Let d(c) = -12978*c**2 - 205*c + 7. Let u(o) = -d(o) - 6*v(o). What is the second derivative of u(q) wrt q?
25968
Let f(r) be the second derivative of 0*r**2 - 151/30*r**6 + 24 + 2*r + 0*r**3 + 0*r**5 - r**4. Find the third derivative of f(q) wrt q.
-3624*q
Let o(j) be the first derivative of -10384*j**7/7 - 8410*j**3/3 - 53. Find the third derivative of o(m) wrt m.
-1246080*m**3
Suppose -3*r + 196 = 4*u, -3*r + r + 3*u = -108. Differentiate 64*o + r*o - 62*o**2 - 124*o + 46 with respect to o.
-124*o
Let d = -633 + 639. Let n(z) be the second derivative of -d*z**2 + 0*z**4 + 0*z**3 + 11*z + 0 - 3/20*z**5. Differentiate n(o) wrt o.
-9*o**2
Let t(x) be the second derivative of 7061*x**7/21 - 237*x**4/2 + 4571*x. Find the third derivative of t(c) wrt c.
847320*c**2
Let t(a) be the third derivative of -5*a**8/168 - 79*a**6/24 + 35*a**4/12 - 4*a**3/3 - a**2 + 949. Find the second derivative of t(s) wrt s.
-200*s**3 - 2370*s
Find the second derivative of 3*p**3 - 15*p + 82*p**2 + 176*p**2 - 1200*p wrt p.
18*p + 516
Let y be 66 - (32/4)/4. Find the third derivative of -6*b**2 + 0*b**2 - 3*b**5 - 6*b**4 + y - 62 wrt b.
-180*b**2 - 144*b
Let u(m) = 23*m - 18. Let d = 187 - 190. Let t(f) = 69*f - 53. Let a(p) = d*t(p) + 8*u(p). Differentiate a(j) with respect to j.
-23
Let n(p) = -72 + 124 - 70 + 57*p**2 - p + 7*p. Let a(o) = -58*o**2 - 7*o + 18. Let f(k) = 6*a(k) + 7*n(k). What is the derivative of f(v) wrt v?
102*v
Let w(h) be the second derivative of 651*h**5/20 + 1715*h**4/12 - 620*h. What is the third derivative of w(p) wrt p?
3906
Suppose -5*p + 17*p - 24 = 0. Find the second derivative of 0*i + i + 28*i**2 - 76*i**p + 2 wrt i.
-96
Let v(o) be the second derivative of -67/20*o**5 + 0*o**2 - 3*o - 59/3*o**4 + 0*o**3 - 10. What is the third derivative of v(g) wrt g?
-402
Let h(w) = -1108*w + 3751. Let f(o) = -2221*o + 7507. Let q(p) = 6*f(p) - 11*h(p). Differentiate q(b) with respect to b.
-1138
Let d(u) be the second derivative of 643*u**5/5 - 6710*u**2 - 8821*u. What is the derivative of d(o) wrt o?
7716*o**2
Suppose -44*a + 7*a + 41 = -70. Let t(p) be the second derivative of 0*p**a + 3*p - 4*p**2 + 10/3*p**4 + 0. Find the first derivative of t(o) wrt o.
80*o
Let j(g) = -8*g - 126. Let f be j(-30). Differentiate 700*p**2 - 38 + f - 699*p**2 + p wrt p.
2*p + 1
Let g(k) be the second derivative of 976*k**6/15 + k**4/6 + k**3/6 + 2203*k**2 + 71*k - 32. What is the second derivative of g(d) wrt d?
23424*d**2 + 4
Let t(g) be the second derivative of -2768*g**3/3 - 6547*g**2/2 + 6257*g. What is the first derivative of t(w) wrt w?
-5536
Let n(q) = q**2 + 7*q + q**3 - 18 + 5*q + 0*q**2 - 11*q**2. Let a be n(9). Find the third derivative of -7*o**5 - a*o**5 - 24*o**2 + 19*o**5 wrt o.
180*o**2
Let z(s) = -s**5 - s**3 - 12*s - 1. Let l(q) = 4*q**5 + 2804*q**3 + 67*q - 7. Let y(d) = l(d) + 5*z(d). Find the second derivative of y(x) wrt x.
-20*x**3 + 16794*x
Let l = 663 - 659. Let z(p) = 107*p**2 - p - 84. Let v(b) = 104*b**2 - b - 84. Let c(q) = l*z(q) - 3*v(q). Differentiate c(f) with respect to f.
232*f - 1
Let l(v) = v - 13. Let o be l(13). Suppose 5*p = 2*x + 25, p + 4*p - 5*x - 25 = o. What is the third derivative of 7*s**5 - p*s**2 - 22*s**2 + 9*s**2 wrt s?
420*s**2
What is the second derivative of 6*s**4 - 98*s**5 - 19*s - 36*s**2 + 109*s**2 + 1389*s - 74*s**2 wrt s?
-1960*s**3 + 72*s**2 - 2
Let f(g) be the second derivative of 133*g**5/2 + g**4/3 - 175*g**3/6 - 8*g - 37. Find the third derivative of f(b) wrt b.
7980
Suppose 0 = -20*v + 15*v + 120. What is the derivative of v + 21 + 14 + 16*c + 26*c wrt c?
42
Let a(n) = -n**3 + n**2 - n + 24. Let d be a(3). Find the second derivative of m**4 + 9 + m**3 - 8*m**4 + d*m + 17*m**4 + 16*m**4 wrt m.
312*m**2 + 6*m
Find the third derivative of -4985*n**5 + 1 - 5284452*n**2 - 1 + 5284532*n**2 + 30*n wrt n.
-299100*n**2
Suppose -13*f - 44 - 21 = 0. Let a(b) = 7*b**2 + 26*b + 126. Let c(k) = k**2 - 2*k + 1. Let g(u) = f*c(u) + a(u). What is the derivative of g(s) wrt s?
4*s + 36
What is the first derivative of -2065 + 6805*g + 1036 + 1379 + 4172 - 1786*g wrt g?
5019
Let p = -46 + 54. Suppose 0 = 4*s - p. What is the derivative of 2 - 16 - 5*j**s + j**2 + 18*j**2 wrt j?
28*j
Let p = 343 - 341. What is the second derivative of -56*w**p + 7*w + 23 - 64 + 30 wrt w?
-112
Let x(n) = -13 - 4*n - 12 - 2 + 1. Let c be x(-8). What is the third derivative of 0*g**2 + 3*g**c + 11*g**6 + g**2 - 2*g**6 wrt g?
1440*g**3
Suppose 7*a - 140 = -28*a. Find the third derivative of -1 - 99*y**4 - 77*y**4 - 13 - 5 + 2*y**5 + 14*y**a - y**2 wrt y.
120*y**2 - 3888*y
Let l(r) = -596*r**2 + 154 - 91*r + 302 + 593*r**2. Let v(m) = 2*m**2 + 45*m - 228. Let f(j) = -3*l(j) - 5*v(j). Differentiate f(k) with respect to k.
-2*k + 48
Let g(t) be the second derivative of -5*t**6/3 + 27*t**5/10 - 2801*t**4/12 + t - 1171. What is the third derivative of g(z) wrt z?
-1200*z + 324
Suppose 7*x = -0*x - 357. Let g = -47 - x. What is the second derivative of 6*q + 4*q**3 - g*q**3 - 8*q**4 + 10*q wrt q?
-96*q**2
Let v be ((-3)/20*-2)/(19/5 + -2). Let m(s) be the second derivative of v*s**4 - 35/2*s**2 + 52*s + 1/6*s**3 + 0. Differentiate m(d) with respect to d.
4*d + 1
Let r = 137 + -101. What is the first derivative of -3 - 6 + r*n + 7 + 12 wrt n?
36
Let n(c) = -122*c - 60. Suppose l = -3 + 1. Let t(q) = -61*q - 30. Let g(h) = l*n(h) + 5*t(h). What is the first derivative of g(d) wrt d?
-61
What is the second derivative of 238 + 121*w**2 - 13*w - 901*w**2 - 514*w**2 + 27*w - 12*w wrt w?
-2588
Let j(l) be the second derivative of -38*l**5 - 221*l**2/2 - 351*l + 1. What is the derivative of j(c) wrt c?
-2280*c**2
What is the second derivative of -16*d**3 + 136*d**2 + 10*d**3 - 1545*d - 1 - 9*d**3 + 17*d**3 wrt d?
12*d + 272
Let c = -9613 + 9613. Let w(k) be the first derivative of -9/2*k**4 - 5*k**2 + c*k**3 - 25 + 0*k. What is the second derivative of w(o) wrt o?
-108*o
Let f(g) = -9*g - 24. Let v = -83 - -87. Let p(m) = -9*m - 25. Let i(c) = v*p(c) - 3*f(c). Differentiate i(l) wrt l.
-9
Let t(h) = 458*h**2 - 20*h - 3. Let d(j) = 5035*j**2 - 220*j - 35. Let a(r) = 4*d(r) - 45*t(r). Find the second derivative of a(y) wrt y.
-940
Let a be 14/(-2) + (2 - -10). Let z = 2 - -1. Differentiate -20 - a*h**z - 6*h**3 + 10*h**3 with respect to h.
-3*h**2
Find the second derivative of 1278*q**3 - 12 + 1658*q + 10 - 124*q**3 wrt q.
6924*q
Let d(c) = c**3 - c**2 - 1. Let x(s) = -19*s**4 + 17*s**3 + 3*s**2 - 1324*s + 3. Let i(o) = -3*d(o) - x(o). Find the second derivative of i(r) wrt r.
228*r**2 - 120*r
Let q(t) = -2*t + 23. Let v be q(10). Let n(c) be the second derivative of 2*c**v + 0*c**3 + c - 5*c**2 + 0*c**3. Find the first derivative of n(h) wrt h.
12
Let t(k) = -26*k + 1. Let r(j) = 4921*j + 5487. Let a(w) = -r(w) + 5*t(w). What is the first derivative of a(b) wrt b?
-5051
Find the third derivative of -408*k**2 - 402*k**3 + 2534*k**3 - 30*k**2 + 1172*k**3 wrt k.
19824
Let z(b) be the second derivative of 11*b**5/2 - 1753*b**2/2 - 1734*b. What is the first derivative of z(j) wrt j?
330*j**2
What is the second derivative of 13139*f - 14506*f - 8769*f - 6039*f**2 wrt f?
-12078
Let u(s) = -16*s + 115. Let r be u(7). Differentiate 30 + 23*o - 6*o - 14*o**2 - 13*o - r*o with respect to o.
-28*o + 1
Let a be 6 - 2/1 - -50. What is the derivative of 197*v**4 - 64*v**4 - 54 - 12 - a wrt v?
532*v**3
Suppose -5*q - 168 = -3*g - 31, -g + 5*q = -39. What is the second derivative of -4*v**4 + 62*v**2 - g - 63 + 5*v**4 + 2*v wrt v?
12*v**2 + 124
Suppose 0 = -634*q + 637*q - 6. Find the third derivative of 214*x**6 + 6*x**q - 5*x**5 - 483 - 3*x**5 + 8*x**5 + 488 wrt x.
25680*x**3
Let t be (42/(-12) - 1)/(6/(-16)). What is the second derivative of -14*x**3 + 4*x**3 - 25*x**2 + 91*x - 4*x**3 + t*x**3 wrt x?
-12*x - 50
Let w be (26/14 + -1)/(39/182). Find the third derivative of 4*s**6 - 78 + 14*s**2 + 127 - s**w - 52 wrt s.
480*s**3 - 24*s
Let n(v) = -23*v - 203. Let h be n(-9). What is the second derivative of 44*o**4 + 160*o**h + 833*o - 658*o wrt o?
2448*o**2
Let g(z) be the second derivative of 2/3*z**4 - 1/3*z**3 + 0 - 94*z - 23/2*z**2. Differentiate g(q) wrt