9*y**2
Let f = -47 - -64. Find the second derivative of -9*n**2 + 71*n - f*n**2 + 36*n**2 wrt n.
20
Let t = 69 + -84. Let w = 112 + t. Find the second derivative of -51*b**3 - 16*b**3 + w*b**3 - 14*b wrt b.
180*b
Let j = -141 + 145. What is the third derivative of -102*t**j + 24*t**2 + 43*t**4 + 149*t**6 + 57*t**4 wrt t?
17880*t**3 - 48*t
Let g(d) = -3959*d**2 + 15*d - 12087. Let m(s) = -990*s**2 + 4*s - 3023. Let i(j) = -4*g(j) + 15*m(j). Differentiate i(v) with respect to v.
1972*v
Let v(b) = -141727*b**2 - 719*b - 15367. Let n(o) = 30370*o**2 + 153*o + 3293. Let z(p) = -47*n(p) - 10*v(p). What is the second derivative of z(g) wrt g?
-20240
Let a(y) be the second derivative of 123*y**5 + 1831*y**2/2 - 439*y + 3. Differentiate a(x) wrt x.
7380*x**2
Let f(b) = 1655*b**2 - 215*b - 900. Let s(l) = l**2 + l - 45. Let o(t) = -f(t) + 20*s(t). Find the second derivative of o(q) wrt q.
-3270
Let w = -385 - -422. Differentiate 129*k - 61 - w - 11*k wrt k.
118
Suppose 5*w - 5*d - 32490 = 0, -8*d - 32498 = -5*w - 5*d. What is the first derivative of -12*g - 2*g - 6434 + w wrt g?
-14
Let u(w) be the first derivative of -2*w**3/3 + 511*w**2 + 1903*w + 1518. What is the derivative of u(s) wrt s?
-4*s + 1022
Let l be 0 - 42/5 - (-6)/15. Let m be ((-1)/l*4)/(1/10). Differentiate 4*o - 5*o + 5*o + m*o + 5 wrt o.
9
Suppose -j = -19 + 11. Let k = 10 - j. What is the third derivative of -k + 181*m**3 + 2 + 14*m**2 - 199*m**3 wrt m?
-108
Let j(a) be the third derivative of -691*a**8/168 - 647*a**4/24 - 59*a**2 + 1. Find the second derivative of j(o) wrt o.
-27640*o**3
Let c be ((-6)/(-5))/(27/90). Suppose -2*w + 4 = -3*b + 5*b, 2*b = -4*w + c. Find the second derivative of 11*k**2 - 14*k**2 - 26*k + 0*k**b wrt k.
-6
Let z(p) be the third derivative of 0*p**4 - 107/6*p**3 - 23/20*p**5 - 79*p**2 - 1/60*p**6 + 0*p + 0. Differentiate z(s) wrt s.
-6*s**2 - 138*s
Let p(v) = -5*v + 500. Let z be p(61). Suppose 11 = 3*w + n, 3*n - 4 - 11 = -3*w. Differentiate 3 + z*u**3 - 97*u**3 - 136*u**w wrt u.
-114*u**2
Let f(c) be the second derivative of -c**7/42 - 383*c**6/15 - 527*c**4/6 + 492*c. Find the third derivative of f(l) wrt l.
-60*l**2 - 18384*l
Let j be 2/(-30)*(-73 + 31). Let b(m) be the first derivative of -1 - 24*m + 0*m**3 + 0*m**2 - j*m**5 + 0*m**4. Differentiate b(k) with respect to k.
-56*k**3
Let y = 64956/13919 + -2/41757. Let s(p) be the first derivative of y*p**3 + 0*p - 5*p**2 - 21. Find the second derivative of s(c) wrt c.
28
Let c(k) = 146*k - 96. Let w(s) = -143*s + 99. Let z(y) = -y - 2. Let n(f) = w(f) + 3*z(f). Let d(j) = 4*c(j) + 5*n(j). Find the first derivative of d(l) wrt l.
-146
Let k = 62 - -53. What is the third derivative of -12*r**2 + 53*r**4 + k - 115 + 42*r**2 wrt r?
1272*r
Suppose -2*b + 280 = u, 0 = 3*b + 3*u - u - 421. Differentiate -118*v**2 - 159*v**3 + b + 118*v**2 wrt v.
-477*v**2
Let l(g) be the second derivative of 1299*g**5/10 - g**4/12 + 2*g**3 - 67*g**2/2 + 4750*g - 2. Find the second derivative of l(s) wrt s.
15588*s - 2
Suppose -42*h + 50*h = 344. Find the third derivative of 9*s**2 + 4*s**2 - 12*s**2 - 41*s**3 - h*s**3 + 8*s wrt s.
-504
Let b = 27 + -24. Let x be (-3 + 1)*11/(-2). What is the first derivative of -5*w**3 + 9 + 1 - x*w**b wrt w?
-48*w**2
What is the second derivative of 495*f + 2321*f + 79*f**2 + 176*f**2 wrt f?
510
Let j(x) = -34*x**4 - 5*x**3 + 5*x**2 - 29*x - 1811. Let z(m) = m**3 - m**2 + m. Let v(t) = j(t) + 5*z(t). What is the derivative of v(i) wrt i?
-136*i**3 - 24
Let t(s) be the first derivative of 0*s**5 - 14 + 0*s**4 + 0*s - s**3 - 23/7*s**7 + 0*s**2 + 0*s**6. Find the third derivative of t(w) wrt w.
-2760*w**3
Let o(b) be the first derivative of -8*b**4 - 89*b - 15*b**4 - 130 + 80 - 74. Find the first derivative of o(l) wrt l.
-276*l**2
Let w(j) = 317*j**3 - 16*j**2 + 1013*j. Let h(r) = 159*r**3 - 9*r**2 + 506*r. Let t(l) = 5*h(l) - 3*w(l). What is the second derivative of t(d) wrt d?
-936*d + 6
Let l(d) = -d + 22. Let n be l(18). Find the first derivative of -215 - 216 + 24*j**4 + 354 + 104*j**n wrt j.
512*j**3
Let z(i) be the first derivative of 916*i**3/3 + 349*i**2/2 - 650. Find the second derivative of z(j) wrt j.
1832
Let n(b) = 7*b**6 - 5*b**2. Let l be 15/2*(-170)/(-51). Let t(z) = 25 - l + z**2. Let a(m) = n(m) + 6*t(m). What is the third derivative of a(g) wrt g?
840*g**3
Let w(s) be the third derivative of -61*s**6/120 - s**5/30 + 6707*s**3/6 + 338*s**2 + s + 2. Differentiate w(x) wrt x.
-183*x**2 - 4*x
Let f(r) be the third derivative of -r**6/30 - r**5/6 + 1208*r**3/3 - 2913*r**2. Find the first derivative of f(v) wrt v.
-12*v**2 - 20*v
Let p = -331 + 405. Find the third derivative of -419 - p*k**2 + 842 + 50*k**3 - 423 wrt k.
300
Find the third derivative of 66*p + 45*p - 111*p - 920*p**5 + 2*p**4 - 328*p**2 wrt p.
-55200*p**2 + 48*p
Let k(a) = 4219*a**3 + 11*a**2 - 239*a. Let x(d) = -d**3 + d**2 + 4*d. Let w(j) = -k(j) + 12*x(j). Find the third derivative of w(p) wrt p.
-25386
Find the second derivative of -8142*v + 905*v**5 + 298*v**5 + 9*v**5 + 1838*v**5 - 75*v**5 wrt v.
59500*v**3
Let l = -44 + 65. What is the derivative of 12*h**3 + l - 8*h**3 + 0 - 13*h**4 wrt h?
-52*h**3 + 12*h**2
Let g(m) be the second derivative of m**7/84 - 31*m**4/12 + 25*m**3/3 - 68*m. Let v(h) be the second derivative of g(h). What is the derivative of v(f) wrt f?
30*f**2
Let x be -4*((-24)/84 - 118/28). Differentiate x*z + 24*z - 20*z + 10 wrt z.
22
Suppose -9*m + 1122 + 435 = 0. Find the third derivative of m*v**3 - 54*v + 98*v**3 + 54*v + 2 - 63*v**2 - 82*v**3 wrt v.
1134
What is the third derivative of 0*l**4 + l**3 - 3*l**4 + 2*l**5 - 14*l**5 + 11*l**5 + 19*l**5 + 3624*l**2 wrt l?
1080*l**2 - 72*l + 6
Suppose -3*r + 8*n - 9*n = -6, -2*r = -2*n - 4. What is the third derivative of -334*u**4 + 320*u**4 - 3*u**5 + 83*u**2 - 24*u**r + 2*u wrt u?
-180*u**2 - 336*u
Let k = 1733 + -855. What is the second derivative of k*p**5 - 1 + p + p - 816*p**5 wrt p?
1240*p**3
Suppose 3*p = -57*p + 1020. What is the third derivative of 17*z**2 + 94*z**3 + z + p*z**2 + 18*z**2 + 19*z**2 wrt z?
564
Let q(a) = -481*a**3 + 16*a**2 + 2509*a. Let s(i) = -160*i**3 + 5*i**2 + 836*i. Let b(d) = -2*q(d) + 7*s(d). What is the second derivative of b(y) wrt y?
-948*y + 6
Let d(x) be the third derivative of 0*x + 0*x**5 - 11/60*x**6 - 1/6*x**3 + 0*x**4 + 2 + 5*x**2. Find the first derivative of d(a) wrt a.
-66*a**2
Let f = -664 + 1955. What is the derivative of 38*h**4 - f*h - 88 + 1291*h wrt h?
152*h**3
Let d(l) = 73*l + 4. Let o(n) = -146*n - 7. Let q be 20/14 + (40/(-28) - -2). Let a(m) = q*o(m) + 5*d(m). Differentiate a(b) with respect to b.
73
Find the second derivative of -25526*w - 3*w**2 + 16448*w + 23293*w + 1736*w**5 wrt w.
34720*w**3 - 6
Suppose -3*v = -3*u + 15 - 9, 4*v = -5*u + 28. What is the third derivative of 2*f**3 + 10*f**2 - 6*f**3 + 2*f**3 - 3 - 37*f**4 - v*f**2 wrt f?
-888*f - 12
Let m(a) be the first derivative of 0*a**3 + 0*a**2 + 53 - 62*a + 67/2*a**4. What is the first derivative of m(t) wrt t?
402*t**2
What is the third derivative of 17*m**3 - 3*m**2 - 12*m**3 - 131*m**5 - 9*m**3 - 1 + 13*m**2 wrt m?
-7860*m**2 - 24
Let m(h) be the second derivative of -h**8/28 - 9*h**5/10 + 5*h**4/12 - 29*h**3/2 - 277*h - 1. Find the third derivative of m(p) wrt p.
-240*p**3 - 108
Suppose -5*i - a + 295 = 0, 0 = -3*i + 5*a - 33 + 182. What is the first derivative of -69*u**2 - 21 - 2 + 42 + i wrt u?
-138*u
Let q be (-2)/5 + (-506)/(-115). Suppose -20 = -6*t + t. Find the second derivative of -d**q + 15*d**5 - 19*d + 10*d + d**t wrt d.
300*d**3
Suppose -a + 5*m - 2 = -3, 0 = -5*a - 4*m + 92. What is the first derivative of 58*n**2 + 110*n + 59 - a - 110*n wrt n?
116*n
Let w(o) = -137*o**3 - 75*o + 1. Let g(d) = -138*d**3 + d**2 - 83*d + 1. Let i(z) = 3*g(z) - 4*w(z). What is the third derivative of i(h) wrt h?
804
Let i(a) be the first derivative of -1/3*a**3 + 4*a**4 - 1 + 0*a + 23*a**2. What is the second derivative of i(l) wrt l?
96*l - 2
Let t = 225 + -167. Find the second derivative of 34 + 35 - 4*a - t*a**4 - 74 wrt a.
-696*a**2
Let x(o) be the first derivative of 77*o**4/8 + 14*o**3/3 - 3*o**2/2 - 27*o + 235. Let z(u) be the second derivative of x(u). Differentiate z(t) wrt t.
231
Let v(y) = 208*y**4 - y**3 + 2