**6/60 + 137*d**5/60 - 211*d**3/6 - 89*d**2 - 189*d. Let g(n) be the first derivative of v(n). Differentiate g(y) wrt y.
-6*y**2 + 274*y
Let z(f) be the first derivative of -3371*f**3/3 - 14737*f - 1129. What is the derivative of z(c) wrt c?
-6742*c
Let i(t) = -3*t**3 + t**2 - t. Let k(s) = -4*s**4 - 48*s**3 - 1348*s**2 - s. Let v(g) = -i(g) + k(g). Find the third derivative of v(x) wrt x.
-96*x - 270
Find the second derivative of -91784*z**2 - z**3 + 2*z**4 + 91784*z**2 - 2006*z - 330*z**5 wrt z.
-6600*z**3 + 24*z**2 - 6*z
Find the third derivative of -4328*a**3 + 3550*a**3 - 5*a**2 + 102*a - 2 + 0 + 2 wrt a.
-4668
Suppose 4*x = 3*x. Suppose x*s = 4*s + 4, 6 = 2*a - 2*s. Find the third derivative of 4 - 4 - 23*d**a - 11*d**4 - 16*d**4 wrt d.
-648*d
What is the second derivative of 9*v - 3 - 82*v + 6 - 1741*v**5 + 2 wrt v?
-34820*v**3
What is the derivative of 251 + 504 - 382*m - 85 + 378*m - 54*m**2 wrt m?
-108*m - 4
Let h(m) = 169*m + 91. Let d(u) = -168*u - 91. Suppose 21*y + 5 = 20*y. Let f(c) = y*h(c) - 6*d(c). Differentiate f(w) wrt w.
163
Suppose 4*w - 250 = -5*g - w, g - 4*w = 25. What is the third derivative of -h + 2*h**2 - 6 + h + 2*h**4 - 2*h**4 + g*h**4 wrt h?
1080*h
Let d = 144 - 140. What is the third derivative of 144*u**2 - 4 - 76*u**2 - 30*u**d - 78*u**2 wrt u?
-720*u
Let s = -81 + 96. Let l be 28427/28 + s/(-12). Find the second derivative of -7*x**2 + l - 1014 + 36*x wrt x.
-14
Let h(m) be the first derivative of 19*m**7/6 + 67*m**3/3 - 146*m + 78. Let r(q) be the first derivative of h(q). What is the second derivative of r(t) wrt t?
2660*t**3
Let s(p) be the third derivative of 6223*p**5/60 - 747*p**4/8 + p**3/3 - 3441*p**2. Find the second derivative of s(a) wrt a.
12446
Let w be 0/(3 + (3 - 7)). Suppose -26 - 5 = -4*v + h, v - 24 = -3*h. What is the second derivative of -3*g + 23*g**4 - v*g + w*g - 5*g**4 wrt g?
216*g**2
What is the third derivative of 287 - 1471*m**6 + 8*m**2 + 295 - 869 + 453*m + 287 wrt m?
-176520*m**3
Let j(d) = -d**5 + d**4 - d + 4. Let s(q) = -q**6 - 390*q**5 + 4*q**4 - 166*q**2 - 4*q + 16. Let m(n) = -4*j(n) + s(n). Find the third derivative of m(f) wrt f.
-120*f**3 - 23160*f**2
Let t(u) be the first derivative of 15 + 123/4*u**4 + 0*u**2 + 0*u**3 - 144*u. What is the first derivative of t(n) wrt n?
369*n**2
Suppose 21*u = 15*u + 54. What is the third derivative of -37*y + 24*y**5 - y**2 + u*y**5 + 10*y - 6*y**5 + 3*y**2 wrt y?
1620*y**2
Find the first derivative of -2*z + 81*z**3 + 85*z**3 + 237*z**3 + 2*z - 6 wrt z.
1209*z**2
What is the first derivative of 2416 - 5304 + 2551 + 11*g**2 + 35*g**3 wrt g?
105*g**2 + 22*g
Find the first derivative of 359*w + 7*w**3 - 25*w**3 + 54*w**3 + w**4 - 34*w**3 - 1420 wrt w.
4*w**3 + 6*w**2 + 359
Let x(f) be the second derivative of 17*f**4/3 - 2*f**3/3 + 764*f**2 - 155*f - 2. Find the first derivative of x(v) wrt v.
136*v - 4
Find the first derivative of -15*q**3 + 11116*q**2 + 8*q**4 - 11116*q**2 - 33*q**3 + 2573 wrt q.
32*q**3 - 144*q**2
Find the third derivative of -6*h**2 + 160 + 4*h**2 + 4*h**5 - 100*h**3 - h**4 + 112*h**3 + 165*h**3 + 10*h + 0*h**2 wrt h.
240*h**2 - 24*h + 1062
What is the first derivative of -28*k + 572 + 0*k**3 - 35*k - k**3 - 4*k**3 + 3*k**3 wrt k?
-6*k**2 - 63
Let a(k) = -6263*k - 7585. Let s(w) = -31316*w - 37874. Let m(l) = 11*a(l) - 2*s(l). What is the first derivative of m(c) wrt c?
-6261
Let k(z) be the second derivative of -54*z**4 + 216*z**2 - 9*z - 53. Differentiate k(h) with respect to h.
-1296*h
What is the second derivative of -214*q**2 - 232*q**2 - 2440*q - q**4 + 22*q**3 + 446*q**2 wrt q?
-12*q**2 + 132*q
Suppose 120 = 3*x + h - 6*h, -2*x + 105 = 5*h. What is the first derivative of -x*g**3 + 21*g**3 - 6*g**3 + 53 wrt g?
-90*g**2
Let z(c) be the third derivative of c**6/6 + 4*c**5/15 - c**4/12 - 841*c**3/6 + 703*c**2. Find the second derivative of z(l) wrt l.
120*l + 32
Let n = -53 + 68. Differentiate 4 - 3*c**3 - 244*c**3 - 45 + 2 + n*c**3 wrt c.
-696*c**2
Suppose 0 = y + 2*y - 6. Suppose 33*d - 47*d + 11172 = 0. What is the third derivative of -p**3 + d + 17*p**y - 798 wrt p?
-6
Find the first derivative of -2675 + i**3 + 3574 + i + 58 + 33*i**4 + 4698 + 2661 wrt i.
132*i**3 + 3*i**2 + 1
Let m(h) = 4*h. Let f be m(0). Suppose f = -3*q - 16 + 76. What is the derivative of q - 15*t**4 + 15 - 41 wrt t?
-60*t**3
Suppose -4*d + 540 = 204. Let p = d - 79. What is the second derivative of -16*s**5 + 43*s**p - 11*s + 10*s wrt s?
540*s**3
Differentiate 451*b + 528*b + 1320 - 1191*b with respect to b.
-212
Let y(w) be the third derivative of -w**7/105 + 7*w**6/8 + 147*w**5/20 + 4*w**2 - 41*w. Find the third derivative of y(a) wrt a.
-48*a + 630
Find the third derivative of -97352 + 97352 - 756*o**2 - 2449*o**3 wrt o.
-14694
Find the second derivative of -t**3 + 369*t**2 - 1334*t + 200 + 670*t + 665*t wrt t.
-6*t + 738
Suppose 2*f = -3*r - 92, r = 5*f - 8*f - 40. Let t = r + 31. Find the first derivative of 1 + 2 - 1 + 33*z**t wrt z.
99*z**2
Let z(f) be the second derivative of 67/2*f**2 + 0*f**5 + 12*f + 0*f**4 - 6 + 67/10*f**6 + 0*f**3. Differentiate z(k) with respect to k.
804*k**3
Find the second derivative of 15290 - 961*u**2 - 15290 - 1384*u wrt u.
-1922
Find the third derivative of 93200 - 31067 - 31066 - 247*d**2 + 3*d - 999*d**3 - 3791*d**3 - 31065 wrt d.
-28740
Let f(t) be the third derivative of -1228*t**4/3 + 5882*t**3/3 - 3694*t**2. Differentiate f(h) wrt h.
-9824
Let u = -19000 + 30233. What is the first derivative of 2*c + u*c**2 - 11223*c**2 + 12 - 77 wrt c?
20*c + 2
What is the third derivative of -3*d**3 + 1250*d**5 - 573*d**2 - 1 - 15*d**3 - d**3 + 19*d**3 wrt d?
75000*d**2
What is the second derivative of 455*m**2 - 7 + 53*m + 23*m + 40*m + 458*m**2 - 71*m wrt m?
1826
Find the second derivative of 144 - 449*f**3 + 167 - 12*f + 147 - 409 - 2*f**2 wrt f.
-2694*f - 4
Let n(d) = 843*d**2 - 446*d + 4. Let j(u) = -2527*u**2 + 1347*u - 13. Let l(c) = -4*j(c) - 13*n(c). Find the second derivative of l(m) wrt m.
-1702
What is the second derivative of 498*k - 451*k + 292*k**2 + 965*k wrt k?
584
What is the third derivative of -6*l + 7154*l**3 + 1069*l**3 - 37*l**2 + 9*l - 13124*l**3 wrt l?
-29406
Let x(v) = -1406*v**3 + 4*v**2 - 2*v - 623. Let b(d) = -d**3 - 2*d**2 + d - 8. Let s(t) = -2*b(t) - x(t). What is the first derivative of s(h) wrt h?
4224*h**2
What is the second derivative of 125*m + 1987*m**2 + 1108*m + 7845*m**2 - 50*m wrt m?
19664
Let h(x) be the second derivative of -799*x**7/42 - 275*x**3/6 + 879*x. Find the second derivative of h(v) wrt v.
-15980*v**3
Suppose 3*n - 16 = -4. What is the third derivative of -3*o**2 + 4*o**6 - 3*o**6 + 3 - 112*o**4 - 115*o**4 + 224*o**n wrt o?
120*o**3 - 72*o
Let b(c) be the second derivative of 58*c**6/5 + 345*c**2/2 - 14*c - 11. Find the first derivative of b(z) wrt z.
1392*z**3
Let h(d) = -270*d + 64. Let g(z) = -1081*z + 241. Let m(q) = 4*g(q) - 18*h(q). What is the first derivative of m(b) wrt b?
536
Let t(w) = w**2 + w - 13. Let m be t(-5). Suppose -m*n = -3*n. Differentiate -7 + 11 - 5 + 16*x**2 + n with respect to x.
32*x
Let j be (-1)/2 + 319/58. Let b(w) be the first derivative of 0*w**3 - j*w - 9 - 13/4*w**4 + 0*w**2. What is the derivative of b(i) wrt i?
-39*i**2
Suppose 3*g + 3*a + 0*a - 162 = 0, -g + 2*a + 63 = 0. Find the third derivative of g - 64*i**5 - i**2 + 5*i**5 - 71 wrt i.
-3540*i**2
What is the first derivative of 168*x**3 - 840 - 5*x**2 + 39 - 142 - x**2 + 2*x**2 wrt x?
504*x**2 - 8*x
Let b(c) be the third derivative of -227*c**9/504 + c**7/210 - 383*c**5/60 - 6*c**2 + 47. What is the third derivative of b(n) wrt n?
-27240*n**3 + 24*n
Let r(j) be the second derivative of -123*j**4/2 + 154*j**3/3 - 395*j. Find the second derivative of r(s) wrt s.
-1476
Let l(a) be the third derivative of -224*a**5/5 - a**4/24 - 77*a**3/3 + 703*a**2. What is the second derivative of l(x) wrt x?
-5376
Suppose -3 = -v, -2*v - 28 = -3*u - 148. Let o be ((-1)/(-2))/((-19)/u). What is the first derivative of 28*n**2 - 67*n**2 - 3 + 33*n**2 + o wrt n?
-12*n
Let a = 31358 - 31355. Let h(y) be the first derivative of 0*y**a - 43/2*y**2 + 0*y + 38/5*y**5 + 0*y**4 + 27. Find the second derivative of h(f) wrt f.
456*f**2
Suppose m + 1 = 0, -m + 10 = -5*g + 4*m. Let u be -