
-5088
What is the third derivative of -162 - 2008*g**2 + 2*g**4 + 162 - 10*g**5 + 192*g**5 wrt g?
10920*g**2 + 48*g
Let q(x) = -9*x**2 + 311*x + 11439. Let r(p) = 5*p**2 - 156*p - 5718. Let g(o) = -6*q(o) - 11*r(o). What is the first derivative of g(z) wrt z?
-2*z - 150
Let p(q) be the third derivative of -4357*q**5/60 + q**4/12 + 205*q**3/2 - 673*q**2. What is the second derivative of p(v) wrt v?
-8714
What is the second derivative of -4931*p**2 + 3613*p + 4931*p**2 - 5648*p**5 wrt p?
-112960*p**3
Let x(a) be the first derivative of -2*a**5/5 - 297*a**4/4 - a**3/3 - a**2 + 1167*a + 1695. Find the second derivative of x(i) wrt i.
-24*i**2 - 1782*i - 2
Let w be ((-16)/28)/(24/(-84)). Find the third derivative of 138*r**2 - w*r**4 - 53*r**2 - 46*r**2 - 81*r**3 + 116*r**2 wrt r.
-48*r - 486
What is the first derivative of -1426*t**3 - 4272 + 26*t + 7559*t**3 - 26*t wrt t?
18399*t**2
Find the third derivative of -154*p**2 + 219*p**2 - 5154*p**3 + 3852*p**3 + 1207*p**2 wrt p.
-7812
Let w(z) = 12*z + 4. Let f be w(0). Find the third derivative of 54*h**4 - 6*h**2 + 2*h**3 - 7*h**5 - 54*h**f wrt h.
-420*h**2 + 12
What is the derivative of 262 - 50*u - 179 - 224 - 218 wrt u?
-50
Let i be 1/(1/5) - 0. Find the first derivative of 3*z**3 + 10 - i*z**4 + 82 - 53 wrt z.
-20*z**3 + 9*z**2
Let i(c) = -c**3 + 3*c**2 - c + 1. Let l be i(2). Suppose l*y - 3 = 3. What is the second derivative of -88*z**2 - 10*z**3 - 12*z + 88*z**y wrt z?
-60*z
Let i(a) = -a + 11*a + 9 - 5*a - a**2 - a. Let f be i(5). Find the third derivative of -8*p**4 + 7*p**2 + p**f - 32*p**4 wrt p.
-936*p
Let b(x) be the first derivative of -90*x**2 + 48*x**3 - 38 + 270*x**2 - 19*x**5 - 92*x**2 - 88*x**2. What is the third derivative of b(w) wrt w?
-2280*w
Find the second derivative of 2212*g + 11454*g**2 - 859*g + 1298*g**2 - 3190*g**2 wrt g.
19124
Suppose 0 = -60*j + 61*j + p - 1, 0 = -4*j - 2*p + 8. Let h(n) be the first derivative of 8 + 0*n**2 - 14*n + 10/3*n**j. Differentiate h(o) wrt o.
20*o
Let i(y) = 755*y**2 + 18*y + 1193. Let b(t) = -758*t**2 - 21*t - 1194. Let m(a) = 6*b(a) + 7*i(a). Differentiate m(q) wrt q.
1474*q
Let x(h) = 2607*h**3 + 7*h**2 - 7*h + 2720. Let y(v) = -1738*v**3 - 5*v**2 + 5*v - 1813. Let b(m) = 5*x(m) + 7*y(m). What is the first derivative of b(k) wrt k?
2607*k**2
Suppose 4*i - 7*i + 12 = 0. Suppose -2429 = -5*u - i*n, -3*u + 4*n + 2087 = 604. Find the second derivative of -f + 472*f**3 - u*f**3 + 10*f wrt f.
-102*f
Let i be (-64)/12*6/(-8). Find the third derivative of 192*b**6 + 78*b**i - 34*b**4 - 44*b**4 + 91*b**2 wrt b.
23040*b**3
Find the second derivative of 1 - 177*z**3 + 483*z**3 + 285*z + 199*z**3 + 450*z**3 + 73*z**3 wrt z.
6168*z
Suppose 0 = g - 5*u + 4, 5*g - 38 + 16 = 4*u. Find the second derivative of 65*y**4 + 11 + 1356*y - 1 - g*y**4 - 1352*y wrt y.
708*y**2
Find the third derivative of 2884*q**2 - 2076*q**4 + 3764*q**4 + 1041*q**2 wrt q.
40512*q
Let w(j) = 4063*j**3 + 19*j**2 + 30*j - 11. Let p(r) = -4064*r**3 - 20*r**2 - 24*r + 12. Let n(g) = -5*p(g) - 4*w(g). Find the third derivative of n(h) wrt h.
24408
Let l(d) be the second derivative of d**7/21 + 279*d**6/10 - 592*d**3 + 1738*d - 2. What is the second derivative of l(f) wrt f?
40*f**3 + 10044*f**2
Let g(u) be the first derivative of 3/2*u**2 - 1 + 25*u - 38/3*u**6 + 0*u**3 + 0*u**5 + 0*u**4. What is the second derivative of g(x) wrt x?
-1520*x**3
Suppose -1536*y + 1514*y + 110 = 0. Let s(v) be the second derivative of 0 + 0*v**3 - 7/20*v**y + 5*v**2 + 4*v + 0*v**4. Differentiate s(j) wrt j.
-21*j**2
Let z(w) = -2*w**2 - 6*w - 8. Let f be z(-6). Let h = 49 + f. What is the third derivative of h*u + 17*u**6 - 34*u**2 - 5*u + 8*u**6 wrt u?
3000*u**3
Let c(w) = 3940*w - 162. Let p(b) = 5928*b - 243. Let y(o) = -8*c(o) + 5*p(o). What is the derivative of y(h) wrt h?
-1880
Let t(d) = 0*d**3 + 0*d**2 - 4*d**3 + 5*d**3 - 2*d**2. Let u be t(2). Find the third derivative of u*h**3 - 53*h**2 + 66*h**2 - h**3 wrt h.
-6
Let i = -996 + 1980. Let f be i/312 + 2/(-13). Find the first derivative of x**f - 2*x**3 + 18 - 15*x**3 wrt x.
-48*x**2
Let m(d) = -d**3 + 10*d**2 - 8*d + 4. Let a be m(4). Find the second derivative of -35*x**3 + 28*x**3 + 61*x**3 - a*x wrt x.
324*x
Let n(o) = -6*o + 39. Let c be n(-7). Find the third derivative of -79*w + c*w - 7*w**4 + 9*w**5 + 73*w**2 + 3*w**5 wrt w.
720*w**2 - 168*w
Let y(v) be the third derivative of 39*v**5/20 - 797*v**4/24 + v**3/3 + 5929*v**2. Find the second derivative of y(z) wrt z.
234
Let g(l) be the first derivative of 862*l**4 + 1681*l**2/2 + 8168. What is the second derivative of g(t) wrt t?
20688*t
Let o(x) = -x**2 + 2*x + 29. Let l(w) be the third derivative of -1/6*w**3 + w**2 + 0 + 0*w + 1/24*w**4. Let n(s) = 2*l(s) - o(s). Differentiate n(u) wrt u.
2*u
Let t(g) be the first derivative of -4*g**5 - 39*g**2 + 82*g + 114. Let c(o) be the first derivative of t(o). What is the first derivative of c(w) wrt w?
-240*w**2
What is the third derivative of -1804*y**4 - 36 + 11 - 3 - 608*y**2 + 28 wrt y?
-43296*y
Let y(o) = 23*o**2 - 21*o - 1450. Let t(m) = -4*m**2 + 2. Let v(a) = -6*t(a) - y(a). Differentiate v(k) wrt k.
2*k + 21
Suppose -552 = -5*h - 142. What is the third derivative of 83*n**6 + 39*n**4 + 43*n**4 + 2*n - h*n**4 - 10*n**2 wrt n?
9960*n**3
Let y(x) be the third derivative of 48*x**2 + 0*x - 23/8*x**4 + 0*x**6 - 1/60*x**5 + 1/42*x**7 + 0 + 0*x**3. What is the second derivative of y(v) wrt v?
60*v**2 - 2
What is the third derivative of 67*u**5 - 1237*u**3 + 99*u + 99*u + 3009*u**2 - 198*u - 68*u**5 wrt u?
-60*u**2 - 7422
Let a(p) be the first derivative of -45*p + 101 - 185 + 8*p**2 + 99. Find the first derivative of a(t) wrt t.
16
What is the third derivative of 1010437*h**6 - 3*h + 3*h - 1008197*h**6 + 1451*h**2 wrt h?
268800*h**3
Let o(y) be the third derivative of -1787*y**9/504 + 127*y**5/60 + 471*y**2. What is the third derivative of o(l) wrt l?
-214440*l**3
Let p(t) = 16*t**2 + t. Let f be p(1). Let o = 29 - f. What is the second derivative of -5*n**4 - 8*n + o*n**4 + 10*n**4 + 5*n**4 wrt n?
264*n**2
What is the third derivative of 835 - 1964*d**3 - 371*d**2 - 835 wrt d?
-11784
Let o be ((-24)/(-10))/(6/285). Find the second derivative of -o*u - 114*u - 153*u - 20*u**2 + 323*u wrt u.
-40
Let h(r) = 5143*r**2 - 5473*r - 4. Let k(q) = -5142*q**2 + 5476*q + 3. Let u(z) = 3*h(z) + 4*k(z). Find the second derivative of u(c) wrt c.
-10278
Let h = 98 - 130. Let c = h - -44. What is the second derivative of -c*t - 33*t**3 + 45*t - 21*t wrt t?
-198*t
What is the second derivative of 13*l**3 - 204*l**3 + 2251*l + 1807*l + 16*l**5 - 15*l**5 wrt l?
20*l**3 - 1146*l
Differentiate -110443*a + 110443*a - 2164 + 335*a**3 with respect to a.
1005*a**2
Let g(i) be the third derivative of 0*i**6 - 2*i**2 - 6*i - 7/3*i**3 + 16/35*i**7 + 1/30*i**5 + 0 + 1/12*i**4. Find the second derivative of g(p) wrt p.
1152*p**2 + 4
Let a be ((-4)/9)/(-2) + -20*90/(-648). Let i(d) be the first derivative of -24 + 0*d + 31/2*d**2 + 29/3*d**a. Find the second derivative of i(y) wrt y.
58
Let y(i) = -i**3 + 7*i**2 + 11*i - 21. Let g be y(8). What is the second derivative of 282*u**3 - 577*u**g + 297*u**3 - 27*u**5 - 212*u wrt u?
-540*u**3 + 12*u
Let m(s) = 767*s**2 - 766*s**2 - 14 + 19*s + 6*s - 2*s. Let j be m(-24). Find the second derivative of -10*f**5 - j*f**5 + 13*f**3 - 13*f - 13*f**3 wrt f.
-400*f**3
Let x be 8/52 + (-24)/(-13). What is the second derivative of 19*d - 39*d + 76*d**x + 26*d wrt d?
152
Differentiate 415 + 114 - 105 - 74 + 372 + 4086*m with respect to m.
4086
What is the third derivative of -3017*i**2 + 3 + 3212*i**2 - 5 - 904*i**3 wrt i?
-5424
Let o(m) = m**2 + 13*m + 47. Let a be o(-6). Suppose a*z - 91 = -26. Find the first derivative of 24 + 6*v**2 - 12 + z*v**2 - 14 wrt v.
38*v
Let w(q) be the second derivative of -11*q**7/42 - q**6/15 + 57*q**5/20 - 14*q**4/3 - 16*q**3/3 - q**2/2 - 2*q - 1263. Find the third derivative of w(g) wrt g.
-660*g**2 - 48*g + 342
Let b(l) be the third derivative of 5*l**9/252 - 53*l**8/336 - 11*l**5/60 - 33*l**3/2 + 2310*l**2. What is the third derivative of b(n) wrt n?
1200*n**3 - 3180*n**2
Let s(f) be the third derivative of -3661*f**4/24 + 1241*f**3/3 + 520*f**2. Differentiate s(h) with respect to h.
-3661
Sup