**5 - o*c - 10*c**5 + 15*c**5 - 5*c wrt c?
540*c**3
Let w(g) = -g**2 - 38*g - 67. Let r be w(-36). Find the second derivative of -3*s - 1350*s**5 - 39*s + 1310*s**r wrt s.
-800*s**3
Let a = 11 - 18. Suppose 114 = 25*y + 39. Let d(k) = 31*k - 69. Let r(c) = 15*c - 35. Let l(v) = a*r(v) + y*d(v). Differentiate l(f) with respect to f.
-12
Let p(c) = 9*c**2 + 13. Suppose -3*i + 10 - 4 = 0. Let k(w) = i*w + 94 + 9*w**2 - 80 - 2*w. Let r(y) = 2*k(y) - 3*p(y). Find the first derivative of r(b) wrt b.
-18*b
Find the third derivative of 1395*o**6 - 101*o**6 - 1867*o**2 + 144*o**6 wrt o.
172560*o**3
Let w = -58 + 108. Suppose -2*x = -x - w. Find the second derivative of 21*m + 2*m**5 + 50*m**4 - x*m**4 + 0*m**5 wrt m.
40*m**3
Let z(x) = -2*x**2. Let v(l) = 9 - 43*l + 75*l - 38*l. Let w(a) = v(a) - 4*z(a). What is the second derivative of w(q) wrt q?
16
Find the third derivative of -232*i**2 + 106*i + 116*i - 5*i**4 - 335*i + 113*i + 2*i**3 wrt i.
-120*i + 12
Let s(p) be the third derivative of 19*p**8/336 + p**5/20 + 7*p**4/24 - 29*p**3/3 - 1182*p**2. Find the second derivative of s(x) wrt x.
380*x**3 + 6
Let h(i) = 84*i + 15. Let x be h(6). What is the second derivative of -473*n**3 + 60*n + 142*n + 3*n**2 + x*n**3 wrt n?
276*n + 6
Suppose -5*g + 3*r + 7 = 0, 0*r - 4 = -3*g + 2*r. Suppose 4*h - 243 + 235 = 0. What is the second derivative of -13*d**h + 10*d**2 - 6*d + 16*d**g wrt d?
26
Find the third derivative of 1458*f**3 + 6657 - 1651*f**2 - 6657 wrt f.
8748
Let k be (-11)/(-3) + 2/(-3) + 9. Let v = k + 25. What is the second derivative of v*q + 26*q**2 - 56*q + 30*q wrt q?
52
Let k(r) = 110*r**3 + 9*r**2 + 8*r + 18. Let b(v) = 3 + 921*v**2 - 921*v**2 + v**3 + v. Let g(n) = 6*b(n) - k(n). Find the third derivative of g(s) wrt s.
-624
Let n(v) be the second derivative of -53*v**2 + 0 + 1/2*v**4 + 0*v**3 - 52*v. What is the derivative of n(b) wrt b?
12*b
Let o be (4 + -5)*1434/(-2). What is the first derivative of -8*s - 697 + 2*s + o + 2*s**3 wrt s?
6*s**2 - 6
Let i(p) be the second derivative of -1 + 1/3*p**4 - 25*p + 0*p**3 + 0*p**5 + 1/5*p**6 - 2*p**2 + 1/7*p**7. Find the third derivative of i(u) wrt u.
360*u**2 + 144*u
Let b be (0 + 1 + -124)/(6/(-14)). What is the first derivative of 44*j**4 + 286 - 2*j**3 - 2*j - b + 2*j wrt j?
176*j**3 - 6*j**2
Let u(y) be the second derivative of 3*y**4/4 + 7*y**3/6 - 525*y**2 + 163*y. What is the first derivative of u(z) wrt z?
18*z + 7
Let q(z) be the first derivative of 13*z**4/12 - 15*z**2 - 18*z + 51. Let v(n) be the first derivative of q(n). Differentiate v(c) with respect to c.
26*c
Let n(q) = -q**2 - q - 1. Suppose -29 = -4*t - 33. Let y(b) = -5*b**2 - b - 97. Let l(x) = t*n(x) + y(x). Differentiate l(o) wrt o.
-8*o
Let i(n) = -2*n - 1. Let d(w) = -13*w**3 - 16 + 202 + 11*w - 3*w**2 - 13 + 13 - 9*w. Let x(f) = -d(f) - i(f). What is the first derivative of x(l) wrt l?
39*l**2 + 6*l
Suppose 3*y = -4*t + 136, 7*t - 4*y - 53 = 6*t. What is the second derivative of 24*z**3 + 13*z**3 - t*z**3 + z + 4*z**4 + 54 wrt z?
48*z**2
Let s(r) be the third derivative of -5*r**9/72 + 17*r**8/168 - 1919*r**5/15 + 3*r**2 - 2133*r. What is the third derivative of s(b) wrt b?
-4200*b**3 + 2040*b**2
Let d be (129/(-6))/(1/(-2)). Find the third derivative of 4*r**6 + 0*r**2 - 2*r**6 - r**2 + 2*r**6 + d wrt r.
480*r**3
Let c(s) = 241*s**3 - 33*s**2 + 7609*s + 3. Let a(f) = f**3 - 10*f**2 + 1. Let k(j) = -3*a(j) + c(j). Find the second derivative of k(w) wrt w.
1428*w - 6
Let u(k) = k + 52 - 23 - 16*k. Let i(r) = 2 + 43*r - 48*r + 8. Let l(s) = 8*i(s) - 3*u(s). What is the first derivative of l(p) wrt p?
5
Let y(s) = -64*s**3 + 9*s. Let i(l) = -l + 1. Let j = 71 - 72. Let q(m) = j*y(m) - 6*i(m). What is the second derivative of q(w) wrt w?
384*w
Let x(r) = r**2 - 101*r - 7548. Let a be x(-50). Let m(y) be the second derivative of 1/2*y**3 - a*y**2 + 0 + 23*y. Find the first derivative of m(f) wrt f.
3
Suppose -5*v = -q, -3*v - v - 1 = -q. Differentiate -117*b**4 - 50 + 4*b**2 + q*b**2 + 119*b**4 - 3*b**2 wrt b.
8*b**3 + 12*b
Suppose -20*y = -26*y + 30. Differentiate 6*x**3 + 0 + 55*x**3 - 15*x**3 - y with respect to x.
138*x**2
Let a be 90/60*3/(6/8). What is the second derivative of -o**5 - 14470*o**3 + 14470*o**3 - a - o wrt o?
-20*o**3
Let z(a) be the first derivative of 0*a + 0*a**2 + 0*a**5 + 0*a**6 - 181 - 317/3*a**3 - 222/7*a**7 + 0*a**4. What is the third derivative of z(d) wrt d?
-26640*d**3
Let t(x) = 6530*x**2 - 6803*x + 5. Let s(j) = 13073*j**2 - 13603*j + 9. Let b(y) = 5*s(y) - 9*t(y). What is the second derivative of b(k) wrt k?
13190
Let s(k) = -6*k - 20. Suppose 17 - 72 = 5*g. Let x(w) = -10*w - 41. Let v(z) = g*s(z) + 6*x(z). What is the derivative of v(y) wrt y?
6
Let l = 229 + -224. What is the derivative of -q**2 - 89 + l*q**2 - 4*q**2 - 176*q**3 + 0*q**2 wrt q?
-528*q**2
Suppose -4*g - 5*p + 3*p + 34 = 0, 0 = g + 2*p - 16. What is the third derivative of a - 10*a**g - 6*a**6 - 2*a**6 + 91*a**2 - 17*a**2 wrt a?
-2160*a**3
Let t be -12*(-9 + 49/6). Differentiate -29 + 24 + 80*p**2 - t*p + 28*p**2 + 9*p - 110 wrt p.
216*p - 1
Let w be -2*((-1095)/54 - (-8)/(-36)). Let u = w + -39. What is the second derivative of 11*h**u + 9*h**4 - 12*h - 11*h**2 wrt h?
108*h**2
Let p(h) = -h - 3. Suppose -4*r = 11 + 5. Let o be p(r). What is the derivative of -5*f**2 + o - 17 + 4 wrt f?
-10*f
Suppose 4*v - 16 = 4*d, 3*v - 3 = -5*d - 7. What is the second derivative of 59*z**2 + 5*z + 24*z**2 - v + 34*z**2 - z + 43*z**2 wrt z?
320
Let z(i) be the third derivative of -1969*i**5/30 + 946*i**3/3 - 1448*i**2. Find the first derivative of z(r) wrt r.
-7876*r
Let u(s) = 11*s + 15. Let c be u(-1). Let f be (-15)/(-4) - 2/(-8). What is the second derivative of -k**f + 3*k + 2*k**c + 2*k**4 wrt k?
36*k**2
Suppose 5*y - 13 - 7 = 0. Suppose -y*m = -27 - 17. Differentiate -21*t - 1 + m - 3 + 6 wrt t.
-21
Let i(y) = 124*y**2 + 111*y + 19743. Let p(v) = 558*v**2 + 494*v + 88843. Let j(f) = -22*i(f) + 5*p(f). Find the first derivative of j(o) wrt o.
124*o + 28
Find the third derivative of -4*g + 137268 + 1010*g**3 + 4*g + 2241*g**2 - 137268 wrt g.
6060
What is the third derivative of -857*o**6 - 33*o**2 - 9*o + 0*o - 7*o + 0*o - 2074*o**6 wrt o?
-351720*o**3
Let t(q) be the third derivative of -q**6/40 + 68*q**5/15 - q**4/2 + 40*q**3 + 3*q**2 - 752. Find the second derivative of t(k) wrt k.
-18*k + 544
Find the third derivative of 0 + 164*b + 3*b**2 - 4 + 40*b**4 + 57*b - 105*b**5 - 43*b + 14 wrt b.
-6300*b**2 + 960*b
Let g(w) = 66*w + 102. Let b(d) be the second derivative of d**3/6 + d**2/2 + 51*d - 4. Let x(p) = -5*b(p) + g(p). Differentiate x(q) wrt q.
61
Let k(l) = l**2 + 10*l - 79. Let y be k(-21). What is the second derivative of 81*c**4 + y*c - 12 - 150*c - 21*c**4 wrt c?
720*c**2
Let d(c) be the first derivative of c**6 + 115*c**4/4 - 157*c**2 + 566. What is the second derivative of d(i) wrt i?
120*i**3 + 690*i
Let h(m) = -m - 1. Suppose -25*c + c + 24 = 0. Let p(b) = b**4 - 10*b**2 - 5*b + 48. Let a(u) = c*p(u) - 5*h(u). What is the first derivative of a(j) wrt j?
4*j**3 - 20*j
Let f be ((-122)/4 + 1)/(30/(-120)). What is the third derivative of 14*d**4 - 60*d**2 + f*d**2 + 0*d**3 + d**3 wrt d?
336*d + 6
What is the third derivative of -19*t**2 - 7*t**2 + 18*t**2 + 4*t + 188 + 10*t**2 - 2448*t**3 wrt t?
-14688
Suppose -d = -0*d + 2, -2*r + d + 174 = 0. Suppose -3*h - 2*c = -r, -2*h + 0*c = -5*c - 70. What is the second derivative of 16 + 16*m**5 - h*m - 34 + 18 wrt m?
320*m**3
Let s(v) be the second derivative of -167*v**6/15 + 2*v**3/3 - 597*v**2/2 - 4171*v. Differentiate s(h) wrt h.
-1336*h**3 + 4
Let p be 4*4/96 + 83/6. Suppose -p*s = -6*s - 224. Find the third derivative of 38*l**2 - 2*l**6 - s*l**2 - l**6 wrt l.
-360*l**3
Let g(v) = -77*v**2 + 60*v - 2. Let r(i) be the first derivative of i**2/2 - i + 22. Let q(l) = -2*g(l) + 4*r(l). What is the second derivative of q(h) wrt h?
308
Let j = -71 - -60. Let t be (-3)/(-7) + j/(-7). What is the second derivative of z**t - 21*z**3 + 24*z - 11*z**3 - z**2 wrt z?
-192*z
Let h(v) be the first derivative of 1195*v**4/2 - 6185*v**3/3 - 4340. Find the third derivative of h(c) wrt c.
14340
Let l(w) be the third derivative of -4*w**7/15 - w**6/60 - 221*w**5/30 - 6*w**2 - 44. What is