b.
480*b**2
Let d(y) = -2163*y**3 + 4623*y - 18. Let i(x) = -1082*x**3 + 2311*x - 10. Let g(v) = -5*d(v) + 9*i(v). What is the second derivative of g(p) wrt p?
6462*p
Let p = -53 - -60. Let x be 2/(-16)*-2 + (-154)/(-88). Find the third derivative of -p*k**x + 5*k**3 + 23*k**2 - 8*k**2 + 17*k**2 wrt k.
30
Find the second derivative of -554*r - 1488*r**4 - 5101 + 5101 + 511*r**4 wrt r.
-11724*r**2
Let s(t) = 4*t**4 - t**3 - t**2 - t. Let o(f) = 137*f**4 + 3*f**3 + 3*f + 363. Let l(a) = -o(a) - 3*s(a). What is the third derivative of l(g) wrt g?
-3576*g
Let f(g) be the first derivative of -764*g**6/3 - 241*g**3 - 298. What is the third derivative of f(q) wrt q?
-91680*q**2
Let t(c) = -804*c**2 + 264. Let h(w) = w**2 + 9. Let b(z) = -40*h(z) - 4*t(z). What is the first derivative of b(x) wrt x?
6352*x
Suppose 18*c = -25*c + 258. Let q be 2/(-4) + 52/8. Find the third derivative of -2*p**6 + 6*p**c - 2*p**6 - 4*p**q - 12*p**2 wrt p.
-240*p**3
Let a(j) be the third derivative of 809*j**6/24 - 233*j**5/60 + 5*j**2 + 186*j. Find the third derivative of a(p) wrt p.
24270
Let w = 3658 - -908. Find the third derivative of -w*v - v**2 - 4*v**4 - 12*v**4 - 51 + 4566*v - 2*v**3 wrt v.
-384*v - 12
Let v(s) = -2*s - 18. Suppose 10 = -c + 6*c, 3*n - 3*c + 36 = 0. Let j be v(n). Find the third derivative of -37*p**j - 43*p**2 - 8*p**6 + 75*p**2 wrt p.
-960*p**3
Let k = 62 + 4. Let t = -64 + k. Find the third derivative of 3*f**t + 46*f**6 + 8*f**2 + 0*f**2 - 3*f**2 wrt f.
5520*f**3
Find the second derivative of -4*r**4 - 5*r**4 - 8 - 4*r**4 - 18*r + 13*r**4 + 1584*r**5 wrt r.
31680*r**3
Let q(x) be the second derivative of -288*x**3 - 1581*x**2/2 - 321*x + 3. Differentiate q(m) wrt m.
-1728
Let j = 48 - -118. Find the first derivative of -j*a - 273*a - 64 + 312*a wrt a.
-127
Let s(d) = d**3 + 7*d**2 + 14*d + 35. Let u be s(-5). What is the second derivative of 6*y**2 + 119*y**5 - 6*y**2 - u*y**5 + 84*y wrt y?
2080*y**3
Suppose 18 = 6*l - 0*l + 6. Let w(n) be the first derivative of 0*n**4 + 0*n**l + 4*n**3 + 0*n - 3/5*n**5 + 10. Find the third derivative of w(t) wrt t.
-72*t
Suppose 37*c + 6*c = 1075. Find the second derivative of -4*l - 24*l**3 + 77*l**3 - 14 + 80*l**2 - 29*l**3 - c*l**3 wrt l.
-6*l + 160
Let u(w) be the second derivative of -16/5*w**6 - 7*w - 13 + 0*w**5 + 0*w**3 - 6*w**4 + 0*w**2. What is the third derivative of u(h) wrt h?
-2304*h
Suppose 3632*r - 3631*r - 3 = 0. Let m(i) be the first derivative of 17/2*i**4 - 23/2*i**2 + 0*i + 3 + 0*i**r. What is the second derivative of m(o) wrt o?
204*o
Suppose 2*f - 69 + 59 = 0. Let n(i) be the second derivative of 4*i**2 - 19*i**5 + 36*i + 39*i**f - 19*i**5 + 3*i**2. Find the first derivative of n(u) wrt u.
60*u**2
Let i = -91 + 209. Find the third derivative of 60*x**4 - 20*x**4 + i*x**2 - 13*x**4 - 16*x**4 wrt x.
264*x
Let t(u) = 6*u**2 - 38*u - 20. Let y be t(7). What is the derivative of 44*j + y + j - 36 + 40*j + 0 wrt j?
85
Suppose -22 = -3*k - 7. Suppose 0 = j - 15 + 13. What is the second derivative of 13*a**2 - 13*a**3 + 16*a - k*a**j - 8*a**2 wrt a?
-78*a
Let q(o) = 5*o**2 - 77*o + 6909. Let v(g) = -4*g**2 + 51*g - 4606. Let p(u) = -5*q(u) - 7*v(u). What is the first derivative of p(f) wrt f?
6*f + 28
Let a(p) be the second derivative of -2117*p**7/42 - p**4/12 - 21*p**2/2 - 3710*p - 1. Find the third derivative of a(q) wrt q.
-127020*q**2
Suppose -37 = 4*q - 53. What is the third derivative of 880*t + 884*t - 152*t**2 + 12*t**q - 1764*t wrt t?
288*t
Let a = 65 + -58. Suppose -6*w + a = -5. What is the first derivative of 9*p**3 + 24*p**3 + w*p**3 - 26 wrt p?
105*p**2
Let j be 6 + 504/(-81) - 634/(-18). Suppose 0 - 3 = r, -4*n + j = -5*r. Find the third derivative of 2 - 11*u**5 + 3 - n - 19*u**2 wrt u.
-660*u**2
Suppose 0 = 3*z - w - 12, -3 = -2*z - 3*w + 2*w. Suppose z*x + 4*o = 5*o + 10, 0 = -2*o - 2. Differentiate 0*r + x - 16*r**2 + 0*r + 4 wrt r.
-32*r
What is the first derivative of -50 - 705 - 43 - 53*t - 341 - 21*t + 5*t**3 wrt t?
15*t**2 - 74
Let j(m) be the second derivative of -15/8*m**8 + 0*m**3 + 0*m**5 + 17/4*m**4 + 21 + 0*m**2 + 0*m**6 - m + 0*m**7. Find the third derivative of j(f) wrt f.
-12600*f**3
Let c(u) be the first derivative of -10/3*u**3 + 0*u**4 + 0*u**5 + 0*u**2 + 13/2*u**6 - 1 + 3*u. Find the third derivative of c(a) wrt a.
2340*a**2
Suppose -3*v + t + 16 = -4, -2*v - 3*t = 5. Find the third derivative of -4*a**2 + a - 26*a**5 - 29*a**v + 8 - a wrt a.
-3300*a**2
Find the third derivative of -450*t**2 - 423*t**2 + 103 + 826*t**2 - 1488*t**3 wrt t.
-8928
Let b(j) = 33 - 5*j**3 - 13*j**2 - j + 4*j**3 + 24*j - 8*j**2. Let x be b(-22). Find the second derivative of -15*y + 36*y + 3*y**4 - x*y**4 wrt y.
-96*y**2
Let l(q) = -q**2 + 1. Let y(i) = 78*i**3 + i**2 + 6*i**2 + 88 + 45 + 15*i**2 - 95. Let f(s) = -44*l(s) - 2*y(s). What is the derivative of f(m) wrt m?
-468*m**2
Let y(b) = -607*b**2 + 3471*b. Let r(q) = -910*q**2 + 5206*q. Let j(i) = 7*r(i) - 10*y(i). What is the second derivative of j(z) wrt z?
-600
Let z(c) be the first derivative of 995*c**4/2 - 40*c**3 + c**2/2 - 2*c + 2843. What is the third derivative of z(g) wrt g?
11940
Let b(u) be the second derivative of 7*u**6/15 - 15*u**4/4 - 256*u**2 + 38*u - 7. What is the derivative of b(i) wrt i?
56*i**3 - 90*i
Let u be 16/(-208) + 81/39. What is the second derivative of -102*s**2 - 18*s - 62*s**u + 45*s**2 + 24*s - 2 - 1 wrt s?
-238
Find the first derivative of -7*z**2 - 5*z**2 + 536 + 39 + 142 + 805*z**4 + 14*z**2 wrt z.
3220*z**3 + 4*z
Let h = 81 + -116. Let w = h + 57. Find the third derivative of w*i**2 - 29*i**2 + 6*i**3 + 16*i**2 wrt i.
36
Let p(o) = o - 2. Let g(i) = 0*i + 0*i + 12*i - 28. Let k(f) = -g(f) + 3*p(f). Differentiate k(d) wrt d.
-9
Let f(q) = -102423*q**2 + 2679*q - 216. Let c(g) = 7879*g**2 - 206*g + 16. Let o(x) = -27*c(x) - 2*f(x). Find the second derivative of o(j) wrt j.
-15774
Let s(o) = -o + 5. Let f be (-2)/8 + ((-22)/(-8))/11. Let g be s(f). Find the third derivative of -2*w**g - 13*w**5 - 15*w**2 + 1067*w - 1067*w wrt w.
-900*w**2
Find the second derivative of 132*n + 4057*n**2 - 4057*n**2 - 3759*n**5 + 2 wrt n.
-75180*n**3
Let i(p) = 2492*p - 2446. Let q(t) = -2500*t + 2442. Let s(o) = -4*i(o) - 3*q(o). What is the first derivative of s(a) wrt a?
-2468
Let l(i) be the first derivative of 0*i**4 + 18 + 0*i - 12*i**5 - 88/3*i**3 + 0*i**2. What is the third derivative of l(q) wrt q?
-1440*q
Let s(a) be the third derivative of -a**5/12 + 85*a**4/24 - 1651*a**3/6 - 22*a**2 - 14*a. What is the derivative of s(n) wrt n?
-10*n + 85
Let y be (-12 - -22) + (-7 - -2). What is the second derivative of -475*h**5 - 487*h**5 + 2 - 35*h + 1006*h**y wrt h?
880*h**3
What is the third derivative of -13 + 434*h**2 - 440*h**2 - 175*h**3 + 14 - 430*h wrt h?
-1050
Let k(s) = 49*s + 26. Let d be 6 + 0 + 4 - 4. Let w(i) = -25*i - 12. Let f(v) = d*k(v) + 11*w(v). What is the first derivative of f(o) wrt o?
19
What is the derivative of -382*i**2 + 1312*i**2 + 1145*i**2 + 461 - 2834 wrt i?
4150*i
Suppose 66 = 4*z - 146. What is the first derivative of -232*o - 15*o**2 + 229*o - z + 2*o**2 wrt o?
-26*o - 3
Let g(f) be the third derivative of f**7/105 + 73*f**5/30 - f**4/24 + 109*f**3/3 + 2*f**2 - 1072. Find the second derivative of g(t) wrt t.
24*t**2 + 292
Let z(u) be the first derivative of -3629*u**5/5 + 526*u**2 + 10075. Find the second derivative of z(v) wrt v.
-43548*v**2
Let b(s) = -s**2 - 15*s + 40. Let m be b(-17). Find the third derivative of m*w**6 - 3*w**2 - 1089*w**4 - 3 + 11 + 1088*w**4 wrt w.
720*w**3 - 24*w
Let h = -448 + 475. Find the second derivative of -11158 + 0*z + 2*z - h*z**4 + 11148 + z**3 - z wrt z.
-324*z**2 + 6*z
Let h(v) = v**3 + 8*v**2 - 29*v - 2. Let s be h(-13). Let y = -296 - s. Differentiate 11*x**2 - 158 + y + 3*x**2 wrt x.
28*x
Let a be 2/3 + -1 + (-20)/(-6). Let o be -1*(-1 + (a - 5)). Differentiate -3*d**4 + 5*d**4 + d**4 + o*d**4 - 11 wrt d.
24*d**3
Let r be -35*21/45 + 18. Let j(l) be the third derivative of r*l**3 + 0 + 0*l - 11/24*l**4 + 11*l**2. What is the derivative of j(x) wrt x?
-11
Let v(y) = -y**3 - 11*y**2 + 7*y + 2. Let k be v(-13). Find the first derivative of -364 + k + 193 + 2*o**2 - 6*o**3 wrt o.
-18*o**2 + 4*o
Let v(d) be the second derivative of -d