y?
1104*y**3
Find the third derivative of y**2 + 3*y + 9*y**2 + 2 + 150*y**3 - 54*y**3 + 11 - 1029*y**3 wrt y.
-5598
Let c(y) be the second derivative of -y**6/5 - 67*y**5/20 - y**4/6 + 259*y**3/6 + 28*y - 9. What is the third derivative of c(t) wrt t?
-144*t - 402
Let f(h) be the second derivative of 1261*h**4/4 - 2323*h**3/3 + 4126*h. What is the second derivative of f(n) wrt n?
7566
Let i be (-4 + 366)/(1 - (-72)/(-75)). Find the second derivative of 177*b + 26*b**2 + 9048*b**5 - 5*b**2 - i*b**5 wrt b.
-40*b**3 + 42
Let t(b) = -5744*b**2 + 9*b + 320. Let m(x) = -22973*x**2 + 34*x + 1281. Let y(h) = -3*m(h) + 11*t(h). Find the second derivative of y(q) wrt q.
11470
Let y(r) be the second derivative of 211*r**5/20 + 5*r**4/12 + 179*r**3/6 + r**2 + 7*r + 3. What is the second derivative of y(j) wrt j?
1266*j + 10
Let r(x) = -8*x + 42. Let k be r(5). Differentiate k*l**2 - 6*l**2 + 4*l**2 - 15*l**3 + 7 wrt l.
-45*l**2
What is the first derivative of -155*o**2 - 201*o**2 + 22*o**2 + 109*o**2 - 1112 - 306*o**2 wrt o?
-1062*o
Let k be 20*(-10 - (-1919)/190). Let r(q) be the first derivative of 31 + 13/3*q**3 + 0*q + 7/2*q**k. What is the second derivative of r(v) wrt v?
26
Let i(u) be the third derivative of 46*u - 4*u**4 + 0 - 11/2*u**3 - u**2. Differentiate i(q) with respect to q.
-96
Suppose 968 = -4*d + 976. What is the third derivative of -12 + 12 - 121*z**5 - 82*z**d - 2*z**2 - 147*z**5 wrt z?
-16080*z**2
Let t(s) be the third derivative of 202*s**5/15 - s**4/4 - 59*s**3/3 + 2*s**2 + 2620*s. Find the second derivative of t(v) wrt v.
1616
Let o(x) = -2*x**2 - 58*x - 240. Let v be o(-24). Let n(m) be the first derivative of 0*m**3 + 0*m**4 + v*m**2 + 14 - 6/5*m**5 - 6*m. Differentiate n(p) wrt p.
-24*p**3
Let a(v) = -553*v**3 + 4*v**2 + 4*v + 38. Let k(n) = 1104*n**3 - 7*n**2 - 7*n - 75. Let c(g) = 7*a(g) + 4*k(g). Differentiate c(r) with respect to r.
1635*r**2
Let v(i) be the second derivative of -1025*i**4/12 + i**3/3 + 17*i**2/2 - 873*i. Find the second derivative of v(o) wrt o.
-2050
Let c(x) be the first derivative of -31*x**7/21 + 59*x**4/12 + 43*x + 61. Let f(y) be the first derivative of c(y). Find the third derivative of f(g) wrt g.
-3720*g**2
Let t(h) be the third derivative of 286*h**4/3 - 2135*h**3/6 - 11*h**2 - 85. Differentiate t(f) wrt f.
2288
Let v be -1 - 0 - -2*15/6. Find the third derivative of 30*t**4 - 28*t**v - 137*t**2 + 60*t**4 + 2*t**3 wrt t.
1488*t + 12
Let p(i) be the second derivative of 3*i**5/20 + i**4 - i**3/3 + 1025*i**2/2 - 3532*i. Find the second derivative of p(s) wrt s.
18*s + 24
Let d(z) = z**2 - 7*z - 17. Let k be d(9). Let a be (4/10*k)/((-2)/(-40)). Differentiate -888 + 883 + 9*t + a*t wrt t.
17
Let y(u) be the second derivative of -2381*u**6/30 - u**5/10 + u**4/12 + u**3/3 - 4*u**2 + 2750*u. Find the third derivative of y(p) wrt p.
-57144*p - 12
Let v(b) = 8*b**2 + 2*b. Let k(m) = 1769*m**2 - 8*m - 9661. Let r(z) = -k(z) - 3*v(z). Find the first derivative of r(a) wrt a.
-3586*a + 2
Let w(k) = 2390*k - 152. Let d(t) = -2392*t + 159. Let r(x) = -3*d(x) - 2*w(x). Differentiate r(z) wrt z.
2396
Let z(l) be the first derivative of -211/3*l**3 - 1/5*l**5 + 0*l + 31/4*l**4 - 8 + 0*l**2. Find the third derivative of z(y) wrt y.
-24*y + 186
Let s(a) be the third derivative of 407*a**9/504 + a**8/112 + 2*a**5/15 - a**4/24 - 17*a**3/2 + 35*a**2 - 2*a. What is the third derivative of s(j) wrt j?
48840*j**3 + 180*j**2
Let v(m) be the third derivative of 1/60*m**6 - 1/35*m**7 - 11/3*m**3 + 0*m**4 + 0*m**5 + 0*m - 1 + 30*m**2. Differentiate v(l) wrt l.
-24*l**3 + 6*l**2
Suppose -5*u - 31 + 36 = 0. Find the second derivative of 15 - u - 14 - 51*n**2 + 68*n wrt n.
-102
What is the first derivative of -9*p**4 + 491 + 45463*p**2 - 19*p**4 - 45463*p**2 + 3*p**4 wrt p?
-100*p**3
Let j = 133 + 187. Find the third derivative of 160*g + 28 - j*g + g**2 + 89*g**3 + 160*g wrt g.
534
Let b(c) = 273*c**2 + 5*c - 7. Let a be b(4). Suppose -10*y = -2389 - a. What is the third derivative of -677*n**3 - 22*n**2 - 21*n**6 + y*n**3 wrt n?
-2520*n**3
Let y be 0 + (-1)/(-2 - 45/(-23)). What is the second derivative of -18 - y*q**5 + 56*q**5 + 21 + 23*q wrt q?
660*q**3
Let n(d) be the third derivative of 0 + 0*d**5 + 0*d**4 - 23/105*d**7 + 0*d + 0*d**6 - 18*d**3 + 53*d**2. What is the derivative of n(a) wrt a?
-184*a**3
Suppose -h + 0*h + 7 = 0. What is the first derivative of h*n**2 + 10*n**2 - 57 + 2*n**2 wrt n?
38*n
Find the third derivative of 186*c**3 - 243*c**4 + 23*c**4 - 368*c**3 - 1 + 182*c**3 - 57*c**2 wrt c.
-5280*c
Let s = 48 + -46. Find the third derivative of 28*i**2 + 8*i**s - 16*i**6 - 38*i**6 - i**2 wrt i.
-6480*i**3
Let l(w) be the second derivative of -w**5/10 + w**4/12 - 183*w**3/2 + 8755*w**2/2 + 3722*w. Differentiate l(x) wrt x.
-6*x**2 + 2*x - 549
Let a = -44 + 45. Let b be (-16)/(-4)*(63/12 - a). Differentiate -68*f**2 - 61*f**2 + 15*f**3 + b + 129*f**2 with respect to f.
45*f**2
Suppose 5*t - 5*c - 370 = 0, -194 = -8*t + 5*t - 4*c. What is the second derivative of -t*h + 63*h**2 - 24*h - 139*h**2 wrt h?
-152
Let o(z) be the second derivative of 4*z**2 + z**2 + 2*z**3 - 12*z**3 - 70*z + 15 + 66*z. Find the first derivative of o(q) wrt q.
-60
Let i(z) be the second derivative of -57 - 2*z**2 + 2*z - 17/3*z**3 - 5*z**4. What is the second derivative of i(g) wrt g?
-120
Let m(u) be the third derivative of -u**3 - 19/120*u**6 + 0 - 46*u**2 + 0*u - 5/12*u**4 + 0*u**5. Find the second derivative of m(n) wrt n.
-114*n
Let i(w) = 3*w**2 + 29*w + 81. Let l be i(-10). What is the second derivative of 15*c**4 - 69*c**4 + 8*c**4 + 3*c + 32*c - l*c**4 wrt c?
-1644*c**2
Find the third derivative of s + 541 - 92*s**4 - s + 140*s**4 + 3974*s**2 - 3975*s**2 wrt s.
1152*s
What is the second derivative of 479*i + 4 - 10*i - 394*i**4 - 38*i - 4 - 2*i**2 wrt i?
-4728*i**2 - 4
Differentiate -331242 - 3736*g + 331913 - 1762*g wrt g.
-5498
What is the third derivative of -22 - 2279*w**2 - 7*w**4 + 24 + 2278*w**2 + 54 + 55*w**3 wrt w?
-168*w + 330
Find the third derivative of 1153*m**2 - 99268*m + 122*m**4 + 99266*m + 31*m**4 - 3*m**6 wrt m.
-360*m**3 + 3672*m
Let o(l) = 58*l + 95. Let i(j) = 58*j + 95. Let k = 131 - 135. Let z(r) = k*i(r) + 5*o(r). What is the derivative of z(c) wrt c?
58
Let a = 67 + -83. Let c = a + 19. Find the second derivative of 5 + 15*f**c - 5 + 20*f - 2*f**3 wrt f.
78*f
Let z(d) be the first derivative of 2*d**2 + 138*d + 21 + 70*d**3 - 70*d**3 - 4*d**4. Differentiate z(h) wrt h.
-48*h**2 + 4
Suppose -4*g = -2*t + 114, -3*t = 2*t - 4*g - 255. Find the third derivative of 44*y**3 - 4*y**2 - 88*y**3 + 25 - 4*y**4 + t*y**3 + 5*y**4 wrt y.
24*y + 18
Let q(c) be the second derivative of -893*c**5/10 + c**3/6 - 515*c**2/2 - 202*c + 2. What is the second derivative of q(h) wrt h?
-10716*h
Let u(a) be the first derivative of -2*a**4 - 23*a**3/3 - 848*a**2 - 2323. Find the second derivative of u(c) wrt c.
-48*c - 46
Find the third derivative of -186*f**5 - 10808*f**2 + 1 - 2*f**4 + 2 - 10808*f**2 + 21615*f**2 + 40*f wrt f.
-11160*f**2 - 48*f
Suppose -23 = -4*r - 3*f, -5*r = -5*f + 36 - 21. What is the second derivative of 18*w**r - 46200 + 46200 + 106*w wrt w?
36
Let o(k) = 13*k**2 - 4*k - 5. Let q(c) = -13*c**2 + 3*c + 5. Let i be 1/((-9)/6)*27. Let b = i + 14. Let r(n) = b*q(n) - 3*o(n). Differentiate r(j) wrt j.
26*j
Let n(y) = -3*y. Let u(a) = 3*a**5 + a**4 - 25*a**3 - 490*a**2 - 99*a. Let c(v) = -66*n(v) + 2*u(v). What is the third derivative of c(t) wrt t?
360*t**2 + 48*t - 300
Differentiate -13*x**4 - x + 38*x**4 + 15*x**4 - 3*x + 233 - 1069 with respect to x.
160*x**3 - 4
Let f(b) be the second derivative of 0*b**7 - 19/2*b**2 - 1/4*b**4 + 0*b**6 - 1 - 5/28*b**8 - 6*b + 0*b**3 + 0*b**5. Find the third derivative of f(q) wrt q.
-1200*q**3
Let g = 4442/627 + 52/209. Let j(s) be the first derivative of g*s**3 + 0*s - 21/2*s**2 + 27. What is the second derivative of j(m) wrt m?
44
Let j(y) = -y**2 + 9*y - 6. Let p be j(5). Find the third derivative of 4 + 2*h**2 - 5 - 1 + 86*h**3 - p*h**3 wrt h.
432
Let z be 14/4*7/(490/60). What is the third derivative of -46737*g**3 + 110*g**6 + 2*g**2 + 46737*g**z + 31 wrt g?
13200*g**3
Let r(s) be the first derivative of 102*s**2 + 1522*s + 2656. What is the first derivative 