?
-460*a**3
Suppose -4*k - 5*n = k - 30, 2*n - 8 = -k. Suppose -11*m + k*m + 217 = 0. What is the second derivative of 1227 + 41*l**2 - m*l - 1227 wrt l?
82
Let i(p) = -4*p. Let a(q) = 13*q - 54. Let v be a(4). Let l(u) = -47*u + 129. Let d(g) = v*i(g) - l(g). What is the derivative of d(y) wrt y?
55
Let k be (2 - 5) + -2 + 7. What is the second derivative of -2*b + 7*b**k + 9*b**3 + 5*b**3 - 8*b**3 + 21 wrt b?
36*b + 14
Let k(x) be the third derivative of 677*x**5/12 - 5693*x**4/24 - 1021*x**2. What is the second derivative of k(f) wrt f?
6770
Find the third derivative of 3808*j**5 - 263*j**2 - 748*j**5 + 1025*j**5 - 1081*j**2 wrt j.
245100*j**2
Let i(g) = -84*g**3 - 15*g**2 + 1908*g. Let l(p) = -40*p**3 - 6*p**2 + 954*p. Let q(j) = -4*i(j) + 9*l(j). What is the second derivative of q(r) wrt r?
-144*r + 12
Let i(w) = 207*w**2 - 6*w + 467. Let o(y) = -y**3 - 208*y**2 + 9*y - 467. Let c(m) = -3*i(m) - 2*o(m). What is the first derivative of c(d) wrt d?
6*d**2 - 410*d
Let i(m) be the second derivative of 13/12*m**4 + 2 + 23*m + 1/2*m**2 + 33/10*m**5 + 0*m**3. Find the third derivative of i(f) wrt f.
396
Let c(x) = 441*x**2 - 10*x - 571. Let h(r) = -437*r**2 + 8*r + 570. Let n(j) = -5*c(j) - 6*h(j). Find the second derivative of n(z) wrt z.
834
Differentiate -44 - 1226213*d + 848 + 1226212*d + 1119*d**2 + 770 wrt d.
2238*d - 1
Let y(c) = c**2 - 19*c - 178. Let w be y(-7). Find the third derivative of 21*n**2 - 388*n + 387*n + 56*n**2 + 4*n**w - 2*n**5 wrt n.
-120*n**2 + 96*n
Let h(a) be the first derivative of 722*a**3 + 3648*a - 789. Differentiate h(o) with respect to o.
4332*o
Let h(s) be the first derivative of 196/3*s**3 + 0*s - 74*s**2 + 161. What is the second derivative of h(w) wrt w?
392
Let x(z) be the second derivative of 0 - 1/10*z**5 + 8/7*z**7 - 31/2*z**3 + 0*z**6 + 0*z**2 + 0*z**4 + 88*z. Find the second derivative of x(k) wrt k.
960*k**3 - 12*k
Let z(o) be the first derivative of 0*o**5 + 0*o + 0*o**2 - 5*o**6 - 130/3*o**3 + 85 + 0*o**4. What is the third derivative of z(r) wrt r?
-1800*r**2
Let r(o) = 38 + 7*o**2 - 19 + 2*o - 16 - 4*o**2. Let k be r(0). Differentiate -49 + u**3 - 12*u**k - 12*u**3 with respect to u.
-69*u**2
Find the third derivative of 15 - 150*i**4 - 5*i**2 + 3*i**2 + 1259*i**5 + 150*i**4 wrt i.
75540*i**2
Let g be (9 + 0)*6/1. Let s(k) be the first derivative of 2 - g*k**2 + 54*k**2 + 2*k**3 + 9 + 8*k. What is the first derivative of s(i) wrt i?
12*i
Find the second derivative of -69*m**2 - 8810*m + 8825*m + 38*m**5 + 307 + 4*m**3 + 56*m**2 wrt m.
760*m**3 + 24*m - 26
What is the third derivative of 659*f**5 + 2*f - 49*f**2 - 480*f**5 - 7*f**2 - 198*f**2 wrt f?
10740*f**2
Let i be (6/10)/(-1 + (-63)/(-60)). What is the derivative of -i - 1702*k + 48*k**3 + 1702*k wrt k?
144*k**2
Let y(d) be the second derivative of 11*d + 3 + 0*d**2 - 53/6*d**4 + 6*d**3. What is the second derivative of y(h) wrt h?
-212
Let b(d) be the second derivative of -277*d**7/14 - 4*d**3/3 + 18*d**2 + 7*d - 12. Find the second derivative of b(j) wrt j.
-16620*j**3
Differentiate 35*w**4 + 572 - 266 + 212 + 407 + 64*w + 23*w wrt w.
140*w**3 + 87
Let c be (0/(-2) + -16)/((-3)/(-6)). Let k = c - -58. What is the third derivative of -5*v**2 + 15*v**3 - 8*v**5 + 11*v**3 - k*v**3 wrt v?
-480*v**2
Let z be ((-74)/(-14) - 5)*-7. Let f = z - -156. What is the third derivative of -45*w**4 - 80*w**4 - 24*w**2 + f*w**4 wrt w?
696*w
Let d(z) = z**3 - 3*z**2 + 4*z - 2. Let t be d(2). What is the second derivative of 1518*g - 4 + 4*g**t + 1 - 1523*g + 8*g**4 wrt g?
96*g**2 + 8
Suppose 0 = 250*r - 399 + 399. Let w(x) be the first derivative of 0*x**3 + 13/5*x**5 + 0*x**2 + 2*x - 15 + r*x**4. Differentiate w(j) wrt j.
52*j**3
What is the third derivative of 293*x**6 - 142*x**2 + 79*x**6 + 119*x**6 wrt x?
58920*x**3
Let b be (-3)/(-9)*-1*-69. Suppose -32 = -5*s + b. Differentiate -s - 3*h - 18*h + 3*h with respect to h.
-18
Let s(h) = h**3 - 6*h + 2. Let y be s(-3). Let r = y - -30. What is the third derivative of 13*i**4 - r*i**6 + 16*i**4 - 13*i**2 - 29*i**4 wrt i?
-2760*i**3
Let x be (-1 + -1 - -38) + -3. What is the derivative of 40 + x*o + 37 + 4 wrt o?
33
Let x(o) be the first derivative of 0*o**4 + 127/5*o**5 - 2*o**2 - o + 0*o**3 + 132. Find the second derivative of x(i) wrt i.
1524*i**2
Find the third derivative of -2 + 127*m + 2215*m**4 + 636*m**2 - 391*m + 134*m + 133*m - m**6 wrt m.
-120*m**3 + 53160*m
Let c(o) = 458*o**2 + 451*o - 14. Let w(l) = -225*l**2 - 225*l + 8. Let s(i) = 4*c(i) + 7*w(i). Find the second derivative of s(d) wrt d.
514
Let y be (-4)/(-22) + 21330/297. What is the third derivative of -61*t**2 + 2 + 192*t**2 - y*t**2 - 101*t**4 + t**5 wrt t?
60*t**2 - 2424*t
Suppose 5*y = 3*j - 75 - 151, -j + y + 74 = 0. What is the first derivative of -j + 109 + 136 + 2*q**2 - q wrt q?
4*q - 1
Let n be (-4 + -2)*(-9)/27. Let v(o) = 44*o + 27. Let z(i) = -87*i - 55. Let h(k) = n*z(k) + 5*v(k). Differentiate h(w) with respect to w.
46
Let v(b) = 1317*b**2 + 745. Let a(d) = -2633*d**2 - 1474. Let h(s) = 2*a(s) + 5*v(s). Differentiate h(g) wrt g.
2638*g
Let s be 36/(-9) - (1 - 278)/1. Find the second derivative of 1 + s*a - 274*a + 2 + 43*a**4 wrt a.
516*a**2
Suppose 2*i + 4*i - 12 = 0. What is the third derivative of -4*x**4 + 2*x**i + 4*x**6 + 9*x**2 - 3 - 4*x**2 + 9*x**2 wrt x?
480*x**3 - 96*x
Find the third derivative of 2*f + 1333*f**2 - 3044*f**2 - 279*f**4 + 1159*f**2 wrt f.
-6696*f
Let l(o) be the first derivative of -6945*o**4/4 + o**3/3 - 525*o**2/2 + 2*o - 3193. What is the second derivative of l(v) wrt v?
-41670*v + 2
Suppose 4*h + 4*y - 292 = 0, -3*h - 4*y + 219 = -3*y. Find the second derivative of 67*u**2 - u + 13*u - 208*u**2 - h*u**2 + 7*u wrt u.
-428
Let i be (-5)/(-20) - 2*9/8. Let v = 4 + i. What is the first derivative of 5*q**2 - 16 - 13*q**v + 11*q**2 wrt q?
6*q
Let q be -3 - (1/1 - 5003). What is the third derivative of -4999 + q + 68*h**2 - 16*h**3 wrt h?
-96
Let a(n) be the second derivative of -971*n**5/20 - 164*n**2 - 438*n + 1. What is the first derivative of a(u) wrt u?
-2913*u**2
Let v(j) be the second derivative of 988*j**6/3 + 5*j**4/12 - j**3 - 5*j**2/2 + 30*j - 102. What is the third derivative of v(w) wrt w?
237120*w
Find the first derivative of -6515*a**2 - 238909 + 119545 + 119684 wrt a.
-13030*a
Let h(k) be the second derivative of 33*k**8/28 + 7*k**6/30 + 1171*k**4/6 + k**2 - 12024*k. Find the third derivative of h(f) wrt f.
7920*f**3 + 168*f
Let i(z) be the third derivative of -107*z**4/4 + 2203*z**3/2 - 5515*z**2. Differentiate i(d) wrt d.
-642
Let j(f) = -f**4 + f**3 + 3*f**2 - 2*f. Let w(o) = 1008*o**4 - 4*o**3 - 24*o**2 - 65*o. Let u(q) = 4*j(q) + w(q). Find the third derivative of u(n) wrt n.
24096*n
What is the third derivative of -368*d**2 + 425*d**2 - 242*d**5 + 950*d**5 - 3 + 33*d**5 wrt d?
44460*d**2
Let q(s) = -185*s**3 - 132*s**2 + 6*s - 4. Let b(l) = -2*l**3 - l**2 + 2*l - 2. Let g(p) = 3*b(p) - q(p). Find the third derivative of g(w) wrt w.
1074
Let c(f) be the first derivative of 1497*f**2/2 - 883*f + 1102. What is the derivative of c(b) wrt b?
1497
Let o(f) = 2*f**3 + 334*f + 7*f**4 - 4*f**2 - 4 + 323*f - 669*f. Let l(u) = u**2 + 1. Let x(t) = 4*l(t) + o(t). What is the second derivative of x(b) wrt b?
84*b**2 + 12*b
Let l(x) = -899*x + 8834. Let h(s) = 1726*s - 17667. Let y(j) = 8*h(j) + 17*l(j). Differentiate y(v) wrt v.
-1475
Let n(m) = m**4 - 2*m**2 - 7*m - 1. Let i(p) = 6*p**4 - 310*p**3 - 608*p**2 - 35*p - 5. Let q(v) = -i(v) + 5*n(v). What is the third derivative of q(l) wrt l?
-24*l + 1860
What is the second derivative of 111*q**5 + 63*q**5 - 663*q - 37*q**5 - 9*q**2 - 1086*q + 492*q wrt q?
2740*q**3 - 18
Let g(p) be the second derivative of -67*p**4 - 213*p**2/2 + 14*p + 20. Differentiate g(o) wrt o.
-1608*o
Suppose -3*n = -m - 2, -2 = -m - n + 4. What is the second derivative of -30*z + 12*z**4 + 10*z**4 + 16*z**m + 10*z**4 wrt z?
576*z**2
Let o(r) be the second derivative of -437*r**4/3 + 73*r**3/6 - 7*r**2/2 + 23*r. What is the second derivative of o(y) wrt y?
-3496
Find the second derivative of 2086*b**4 + 246*b**5 - 1122*b - 2088*b**4 + 437*b**5 wrt b.
13660*b**3 - 24*b**2
Let i(l) be the second derivative of -533*l**6/10 + 169*l**3/3 + 2010*l. Find the second derivati