 - 240*c**2 + 942
Let u(a) be the second derivative of -5005*a**4/12 - 2285*a**3/6 - 5229*a. Find the second derivative of u(v) wrt v.
-10010
What is the third derivative of -63*o**3 + 129*o**3 + 7*o**2 + 807*o**3 wrt o?
5238
Suppose 12 - 10 = r. What is the first derivative of -23*m**3 + 311 - 27 + 27*m**3 + 15*m**r wrt m?
12*m**2 + 30*m
Let p(z) be the first derivative of 9957*z**5/5 - 9240*z + 8743. Differentiate p(m) with respect to m.
39828*m**3
Let t(r) be the second derivative of 663*r**8/56 + r**5/20 - r**4/2 + 178*r**2 + 3690*r. Find the third derivative of t(y) wrt y.
79560*y**3 + 6
Suppose v + 9 = l, 0*l = 2*l + 4*v - 36. Suppose -8*o - 75 = -91. What is the second derivative of h**2 - 14*h - l*h**o + 36*h**2 wrt h?
50
Let a(u) be the second derivative of u**7/14 + 437*u**5/20 + 17*u**3/3 + 3*u**2 - 285*u. Find the second derivative of a(g) wrt g.
60*g**3 + 2622*g
Let x(b) be the third derivative of 1681*b**6/60 + 1187*b**3/3 - 469*b**2. Differentiate x(z) with respect to z.
10086*z**2
Suppose 5*w - 28*n = -32*n + 988, -2*n - 6 = 0. What is the second derivative of -31*i**5 + 478 - 478 - w*i wrt i?
-620*i**3
Let d(k) = -598*k**2 - 81*k - 343. Let y(u) = -299*u**2 - 49*u - 172. Let n(c) = 3*d(c) - 5*y(c). What is the second derivative of n(s) wrt s?
-598
Let z(p) be the first derivative of 0*p**3 + 0*p**4 - 3*p + 0*p**5 - 13*p**2 + 112/3*p**6 - 143. Find the second derivative of z(h) wrt h.
4480*h**3
Suppose -3*t + 5*h = -172, 0 = -t + 2*h - 6*h + 29. What is the second derivative of -t*u + 2*u**2 - 9*u**2 - 12*u**2 + 6*u - 20*u**2 wrt u?
-78
Let d(a) be the second derivative of 34*a**7/7 - a**6/6 - 62*a**4 + 1263*a. What is the third derivative of d(k) wrt k?
12240*k**2 - 120*k
Let c(o) = -o**2 + 2*o + 2. Let q be c(5). Let w = -9 - q. Find the second derivative of -165*h + 141*h + 50*h**4 - 10*h**w wrt h.
480*h**2
Let h(y) be the first derivative of 11089*y**2/2 + 453*y - 1482. What is the derivative of h(p) wrt p?
11089
Let r(i) be the second derivative of -11*i + 0*i**3 + 3 - 3/2*i**2 - 7/3*i**4 + 36/5*i**5. What is the third derivative of r(b) wrt b?
864
What is the derivative of -877*k**2 - 421*k**2 + 34 - 471*k**2 - 532*k**2 wrt k?
-4602*k
Let d(n) = 3*n + 12. Let l be d(3). Let f = l + -17. Find the third derivative of -2239*b**2 + 7*b**f - 4*b**3 + 4*b**3 + 2221*b**2 wrt b.
168*b
Let f(w) = -w**3 - w**2 - 2*w. Let y(m) = 5*m**3 - 170*m**2 + 72*m - 3. Let z(l) = 2*f(l) + y(l). Find the second derivative of z(u) wrt u.
18*u - 344
Let k(v) = v + 2. Let j be k(-2). Suppose 0*u + 3*a = 3*u - 69, u - 5*a - 3 = j. What is the second derivative of -15*n + 0*n - 7*n**3 + 28 - u wrt n?
-42*n
Find the third derivative of -585 + 64712581*t - 8380*t**3 - 64712581*t - 3*t**2 wrt t.
-50280
What is the third derivative of -35*m**2 + 1895*m**4 + 579*m**4 - m + 21*m wrt m?
59376*m
Let k(p) = 1847*p**3 + p**2 - 322. Let l(h) = 1848*h**3 + h**2 - 321. Let m(z) = 4*k(z) - 5*l(z). What is the third derivative of m(c) wrt c?
-11112
Let d = -105 + 107. What is the second derivative of 2*h + 23*h**2 + 14 - 4*h + 3*h**d - 2*h - h**3 wrt h?
-6*h + 52
What is the second derivative of -155 - 3*o + 11*o + 30*o**3 - o**2 + 2*o**2 + 117*o**3 - 6*o wrt o?
882*o + 2
Let p(z) be the second derivative of 9*z**5/20 - 89*z**3/6 + 1233*z**2/2 - 287*z - 1. Differentiate p(t) with respect to t.
27*t**2 - 89
Let b(a) be the first derivative of -74*a + 70 - 63/2*a**2. Find the first derivative of b(t) wrt t.
-63
Let g(y) be the first derivative of 3773*y**3/3 - y**2/2 - 6672*y + 7402. What is the derivative of g(t) wrt t?
7546*t - 1
Let j(w) = -731*w + 1147. Let n(a) = -1. Let x(p) = -j(p) + 2*n(p). Differentiate x(g) wrt g.
731
Find the third derivative of 142 + 342*j**3 + 9*j**2 - 67464*j + 67464*j wrt j.
2052
What is the third derivative of a**5 - 2*a - 19*a**5 - 32*a**2 + 34*a**6 + 2165*a**2 wrt a?
4080*a**3 - 1080*a**2
Let b(l) = 149*l - 14. Let w(a) be the second derivative of 148*a**3/3 - 29*a**2/2 + 92*a. Let r(c) = 9*b(c) - 4*w(c). Differentiate r(k) wrt k.
157
Suppose -149 = -15*w + 166. Find the third derivative of 121*n**3 - 135*n**2 + w*n**5 - 125*n**3 - 67*n**2 wrt n.
1260*n**2 - 24
Let z be (-2032)/(-48) - (-4)/6. Let j(c) be the first derivative of -2*c**4 + 6*c**4 + 33*c**2 + 12 - z*c**2. What is the second derivative of j(v) wrt v?
96*v
Let d = 17167/300 + -1416/25. Let m(t) be the second derivative of -d*t**4 + 0*t**3 + 14*t - 4*t**2 + 0. Differentiate m(u) wrt u.
-14*u
Let v(t) = -2*t + 2. Let w(i) = 552*i**2 - 3*i. Let o(s) = -4*v(s) + w(s). What is the second derivative of o(q) wrt q?
1104
What is the first derivative of -3585*b + 961*b + 876*b + 2198 + 1443*b + 1740*b wrt b?
1435
Differentiate -318 - 81 + 189*p**2 + 115*p - 180*p**2 + 140*p - 109*p wrt p.
18*p + 146
What is the third derivative of 1447*l**6 + 1 - 34*l**2 - 755*l**6 - 83*l**2 - 1140*l**6 - 2*l**4 wrt l?
-53760*l**3 - 48*l
Let l(q) = q**3 - 10*q**2 + 11*q - 16. Let k be l(9). Find the third derivative of -29*t**3 - 65*t**3 + 14 - 118 + 12 + 2*t**k wrt t.
-564
Find the second derivative of -1821*i - 2185*i**3 + 2185*i**3 + 2*i**2 + 493*i**4 - 2*i**2 wrt i.
5916*i**2
Let i(l) be the third derivative of 11/210*l**7 + 0*l - 1/24*l**4 + 0*l**3 - 31/60*l**5 - 32 + 1/60*l**6 + 2*l**2. What is the third derivative of i(a) wrt a?
264*a + 12
Let l(z) be the second derivative of -161*z**4/4 + z**3/3 + 658*z**2 - z + 83. Differentiate l(h) with respect to h.
-966*h + 2
Let h = -26 - -31. Suppose -o + h = 3. Find the second derivative of -31*m**2 + 31*m**o - 2*m**4 - 22*m wrt m.
-24*m**2
Let n(o) be the second derivative of -675*o**7/14 - 205*o**4/4 + 1766*o. What is the third derivative of n(f) wrt f?
-121500*f**2
Let h(l) = 122*l**3 + 12*l + 258. Let p(c) = -49*c**3 - 5*c - 103. Let v = 118 + -130. Let k(f) = v*p(f) - 5*h(f). Find the first derivative of k(m) wrt m.
-66*m**2
Suppose -322 = -9*y - 88. Differentiate 35*r - 75*r - 295 - 38*r - y*r wrt r.
-104
Let g(t) be the third derivative of 19/120*t**6 - 1/210*t**7 + 0*t**4 + 40/3*t**3 + 50*t**2 + 0*t**5 + 0*t + 0. Differentiate g(w) with respect to w.
-4*w**3 + 57*w**2
Find the third derivative of 5047*r**6 + 3*r**2 - 128 - 593*r**3 - 604*r**3 + 1199*r**3 wrt r.
605640*r**3 + 12
Let c be 175/28 - (-55 + 60). Let r(m) be the second derivative of 0*m**2 + 0 - 1/4*m**4 + 12*m + 0*m**3 - c*m**5. Find the third derivative of r(q) wrt q.
-150
Let k(q) be the second derivative of -61*q**4/12 - 5*q**3/6 - 275*q**2/2 - 1979*q - 2. Differentiate k(h) wrt h.
-122*h - 5
Find the second derivative of 142*n**2 + 152*n**2 - 171*n**2 - 5031*n - 65*n**3 + 66*n**3 wrt n.
6*n + 246
Suppose 3*t = -3 + 12. Suppose -h + 4*v - 6 = 0, 5*h - 51 = -v + t. Find the second derivative of 29*n - h*n + n**4 + 3*n wrt n.
12*n**2
Let t be 4/8 + (-1 - (-28)/8). Find the second derivative of 12*p - 158*p + 11*p**t + 9*p - 89*p + 10*p - 16*p**4 wrt p.
-192*p**2 + 66*p
Let j be (-28)/(-10) - 2/30*-3. Suppose -2*c - j*l + 17 = -6*l, 0 = 4*c - 2*l - 30. What is the second derivative of -c*o + 29*o + 4*o - 21*o**3 wrt o?
-126*o
Find the second derivative of -1698*v**3 - 18*v + 2*v**2 + 498*v**3 - 5039*v**3 + 1 - 3*v**2 - 10 wrt v.
-37434*v - 2
Let m(r) be the first derivative of 3041*r**5/5 - 7179*r**2/2 + 7644. Find the second derivative of m(n) wrt n.
36492*n**2
Let x(y) be the first derivative of 46 + 0*y**3 - 119/4*y**4 - 66*y**2 + 0*y. Find the second derivative of x(o) wrt o.
-714*o
Suppose 2*f + 19 - 24 = r, 31 = 5*r + 4*f. Find the third derivative of -2*t**4 + 10*t**2 + 5*t - 425*t**r + 131*t**3 + 196*t**3 wrt t.
-48*t - 588
Let w(b) be the second derivative of 35/2*b**2 - 43/20*b**5 + 6 + 7*b + 0*b**4 + 0*b**3. Find the first derivative of w(j) wrt j.
-129*j**2
Let q(a) be the second derivative of 249/20*a**5 + 117*a + 0*a**2 + 1/3*a**3 + 0 - 14*a**4. What is the third derivative of q(h) wrt h?
1494
Suppose -w + 14 = -3*v + 3, -3*w - 9 = 5*v. Let g = -174 + 176. Find the third derivative of w*s**6 - 4*s**g + 16*s**2 + 10*s**6 wrt s.
1440*s**3
Let x(m) = -35*m + 40. Let g be x(-6). Find the second derivative of -75*u**5 + 252*u - g*u - 55*u**5 + 1 wrt u.
-2600*u**3
Let g(j) be the first derivative of 201*j + 0*j**3 - 43/2*j**4 - j**2 - 185. What is the derivative 