5*d - 3*d**2 + 81*d + 14*d**5 + 6 + 30*d**5 - d**4 + 2*d**3 wrt d.
2640*d**2 - 24*d + 12
Let k(z) = -2093*z**2 + 610*z - 30. Let x(a) = 7*a**2 + a - 5. Let f(l) = k(l) - 6*x(l). What is the second derivative of f(c) wrt c?
-4270
Let s(m) be the first derivative of 0*m**4 - 97/3*m**3 + 0*m**2 + 177/5*m**5 - 250 + 0*m. Find the third derivative of s(g) wrt g.
4248*g
What is the second derivative of 104*s**2 - s**4 - 210*s**2 + 106*s**2 + 74*s**3 + s - 504 wrt s?
-12*s**2 + 444*s
Let y(w) be the third derivative of 0*w + 0 - 23/105*w**7 - 1/12*w**4 + 53/6*w**3 - 40*w**2 + 0*w**6 + 0*w**5. Find the second derivative of y(m) wrt m.
-552*m**2
Find the third derivative of 2*f**2 + 462*f**5 + 6361 + 658*f**5 - 6366 + 2*f**2 wrt f.
67200*f**2
Suppose -55*o + 6 = -53*o. Find the first derivative of -o*f**2 + 3*f**2 + 2*f**2 - 65*f**3 + 96 + 52*f**3 wrt f.
-39*f**2 + 4*f
Let b be (10/15)/(1/6). Suppose -2*x + 48 = 4*n, x + 92 = b*x + 2*n. What is the derivative of x*z**2 - 27*z**2 - 2 - 2 wrt z?
14*z
Differentiate 179*y + 2150*y**3 + 169*y + 174*y - 522*y - 249 wrt y.
6450*y**2
Let j(v) = 5*v - 141. Let t be j(29). Differentiate -50 + 32 - 48 - 4*r**t + 2*r - r wrt r.
-16*r**3 + 1
Let d(v) be the first derivative of -3/5*v**5 + 0*v**2 - 78 + 0*v**3 - 12*v**4 - 75*v. Differentiate d(p) with respect to p.
-12*p**3 - 144*p**2
Let h = 27 + -42. Let s = h - -56. Find the third derivative of s*o**3 - 17*o**3 - 26*o**3 + 5*o**2 wrt o.
-12
What is the third derivative of 2 - 252*k**2 + 977*k + 2 - 4 - 34*k**5 - 975*k wrt k?
-2040*k**2
Let y be 4/1 + -5 - (0 + -6). Find the second derivative of 1170*n**2 + 1170*n**2 - 15*n - 128*n**y - 1 - 2340*n**2 - 2*n**5 wrt n.
-2600*n**3
Suppose -80 = -3*q - 13*q. Find the second derivative of 18*i + 13*i - 23*i + 58*i**q wrt i.
1160*i**3
Find the third derivative of -6*f**3 - 339417*f**2 - 76*f**5 + 343254*f**2 - 22*f**5 - 15*f**3 + 19*f**5 + 2*f**4 wrt f.
-4740*f**2 + 48*f - 126
Find the second derivative of -266*c**3 - 35 + 70*c**3 - 28*c - 203*c**3 wrt c.
-2394*c
What is the third derivative of 258*k - 2*k**2 - 1408*k**5 + 82*k + 127*k wrt k?
-84480*k**2
Suppose 4*i + 21 + 39 = o, 4*o + 3*i - 297 = 0. What is the first derivative of -o*b**2 - 81 + 22 - 51 wrt b?
-144*b
Find the first derivative of -306*u**3 - 256*u**3 - 1713 + 305 wrt u.
-1686*u**2
Let w(f) be the second derivative of -5*f + 0*f**3 - 47/6*f**4 - 23/6*f**7 + 0*f**2 + 15 + 0*f**5 + 0*f**6. Find the third derivative of w(r) wrt r.
-9660*r**2
Let r(c) be the second derivative of 8*c**2 - 1/3*c**3 + 0 - 143*c - 203/12*c**4. What is the second derivative of r(d) wrt d?
-406
Suppose -13 - 3 = -5*k + m, 3*m - 12 = 0. What is the first derivative of -24 - 18*q**4 + 124*q**k + 19*q**4 wrt q?
500*q**3
Find the third derivative of -51*s + 2 - 4672*s**3 + 40*s - s**2 + 14*s**2 + 29*s**2 - 712*s**3 wrt s.
-32304
Let y(g) be the first derivative of 2643*g**2 + 5190*g - 4118. What is the derivative of y(p) wrt p?
5286
Let r be 7/7*13791 - -4. What is the second derivative of -2*o**4 - r*o + 13789*o + 1 + 0 wrt o?
-24*o**2
Let v(a) be the first derivative of -7*a**3/3 + 39*a**2/2 - 1287*a + 324. What is the derivative of v(s) wrt s?
-14*s + 39
Let i(k) be the third derivative of 15*k**2 + 0*k**3 + 0*k**5 + 0 - 1/40*k**6 - 2*k - 55/8*k**4 + 3/70*k**7. Find the second derivative of i(t) wrt t.
108*t**2 - 18*t
Differentiate 14479 - 18*s**2 - 1649*s + 827*s + 41*s**2 - 78*s**3 + 823*s + 26*s**3 with respect to s.
-156*s**2 + 46*s + 1
Let n(t) be the first derivative of 8/5*t**5 + 46 + 3/4*t**4 + 0*t + t**2 + 8/3*t**3. Find the third derivative of n(k) wrt k.
192*k + 18
Find the third derivative of 479*s**2 - 344*s**3 + 46*s**2 - 291*s**3 - 50*s**2 wrt s.
-3810
Let c(f) = -12*f - 85. Let s be c(-10). What is the second derivative of k**2 + 2 - 1 - 1 - 2 - 26*k + k**2 + s*k**4 wrt k?
420*k**2 + 4
What is the derivative of 3981 + 3*z - 1386 - 2*z - 1804*z**2 wrt z?
-3608*z + 1
Suppose -2*b + 94 + 234 = 5*l, -5*l - 134 = -b. Differentiate 73 - 77*y + 34*y + 80 - b*y with respect to y.
-197
Suppose u - 6*u = -20. Suppose 16 = 4*n + u*f, 2*f - f = -3*n + 18. What is the second derivative of -2*y**3 + 4*y + n*y - 4*y**3 wrt y?
-36*y
Let p(j) = 54*j - 7803. Let b(q) = 34*q + 1951. Let g(c) = 22*b(c) + 6*p(c). What is the first derivative of g(u) wrt u?
1072
Suppose 0 = 3*a + 2*x - 12, 5*x - 5 = 10*a - 5*a. Find the second derivative of 60*c**2 - 229*c - 68*c**a - 164*c**2 wrt c.
-344
Let d(h) be the second derivative of 0 + 99*h + 0*h**4 - 85/6*h**3 + 0*h**2 + 0*h**5 - 49/30*h**6. What is the second derivative of d(r) wrt r?
-588*r**2
Suppose -7 = -5*a + s, a + 5*s - 17 = -0*a. Let d(h) = 2*h**2 - 3. Let g be d(a). What is the second derivative of w + 11*w - 4*w**5 + 13*w**g + 20*w**5 wrt w?
580*w**3
Let n(z) be the third derivative of z**5/12 + 59*z**4/24 + 1645*z**3/6 + 1601*z**2. What is the first derivative of n(c) wrt c?
10*c + 59
Differentiate -78*r**4 + 273*r**4 - 178*r - 102*r**4 + 921 - 96*r**4 wrt r.
-12*r**3 - 178
What is the second derivative of 6116*w + 2144867 - 2144867 + 4384*w**2 wrt w?
8768
Let t be 40/22 - 40/(-220). Find the second derivative of -12*f + 2 - 22*f**t + 2 + f**3 + 0*f + 6*f wrt f.
6*f - 44
Find the second derivative of 11 - 22 + 3 + 459*n**5 + 13*n - 7 + 47*n wrt n.
9180*n**3
Suppose -564*h = -575*h + 33. Find the second derivative of -87*q + 4*q - 13 + 2 + 13 - 2*q**h + 92*q**2 wrt q.
-12*q + 184
Let s(u) be the first derivative of 5171*u**4/4 - 7*u**2/2 - 20*u - 3791. Find the second derivative of s(z) wrt z.
31026*z
Let w(j) = 27*j + 27. Let f = -4 + 6. Let l(i) = 12*i - 11*i - f*i. Let o(r) = 9*l(r) + w(r). Find the first derivative of o(d) wrt d.
18
Let p(n) = -n + 1. Let s be p(-3). Suppose -s*q - 4*f + 76 = 0, 4*f + 2 = 10. What is the third derivative of 18*l**2 + 17*l**5 - q*l**2 - 10*l**2 wrt l?
1020*l**2
Let f(a) be the third derivative of -a**6/12 + 59*a**5/60 + 2815*a**3/2 + 223*a**2 - 10. What is the first derivative of f(m) wrt m?
-30*m**2 + 118*m
Differentiate 96*o**2 - 571583*o + 2851 + 571583*o + 274*o**2 with respect to o.
740*o
Let f(i) be the first derivative of -292*i**7/7 + 3*i**5/5 + 184*i**3/3 - 288. Find the third derivative of f(r) wrt r.
-35040*r**3 + 72*r
Let h(b) be the second derivative of -2*b - 12 + 12*b**2 - 19/2*b**3. Differentiate h(l) wrt l.
-57
Find the third derivative of 4*m**4 - 477*m**5 + 504*m**5 - 5*m**4 - 1130*m**2 wrt m.
1620*m**2 - 24*m
Let n(v) be the third derivative of 0*v - 4 + 11*v**2 + 0*v**4 - 2/15*v**5 + 3/35*v**7 + 0*v**6 + 0*v**3. What is the third derivative of n(g) wrt g?
432*g
Suppose -2*l + 13*l + 4*l - 8*l = 0. Let f(v) be the first derivative of -27/4*v**4 + l*v**2 + 0*v + 14/3*v**3 + 22. Find the third derivative of f(q) wrt q.
-162
Find the second derivative of 223586*b**2 - 2047*b - 108717*b**2 - 110968*b**2 wrt b.
7802
Let t be 168 - 1 - (1 - 0). Suppose -177*q = -176*q - 5*g - 181, 3*q + g - 495 = 0. What is the second derivative of 18*k + 14*k**2 + q - t wrt k?
28
Suppose -69*q = 74 - 350. Let j(b) be the second derivative of 0 + 5/2*b**3 - 14*b + q*b**2. What is the first derivative of j(r) wrt r?
15
Let a(t) = -152*t**4 - 10*t**3 - 4*t + 3019. Let b(y) = 456*y**4 + 29*y**3 + 14*y - 9056. Let g(f) = -7*a(f) - 2*b(f). Find the first derivative of g(m) wrt m.
608*m**3 + 36*m**2
Let o(u) be the first derivative of 170/3*u**3 - 5*u**2 - 98 + 0*u. Find the second derivative of o(t) wrt t.
340
Suppose -u - 6*r - 17 = -3*r, 101 = -3*u + r. Let x = 35 + u. What is the second derivative of -22*y + x*y - y**3 + 2*y wrt y?
-6*y
Let l(m) be the third derivative of m**8/336 - m**6/40 - 497*m**5/30 + 7*m**4/4 + 4737*m**2. What is the second derivative of l(n) wrt n?
20*n**3 - 18*n - 1988
Let d(q) = q**2 + q. Let b be 3/5*(60 + -50). Let t(r) = 190*r**2 + 6*r - 282. Let c(h) = b*d(h) - t(h). What is the derivative of c(u) wrt u?
-368*u
Let p(o) = 5*o**2 + 6*o - 15. Let r be p(10). What is the derivative of -545*s**2 + r*s**2 - 18 + 4*s + 3*s**3 wrt s?
9*s**2 + 4
Suppose -27*s = -23*s - 24. Suppose -5*m + 35 = r - s, 3*r = -4*m + 112. What is the second derivative of c**2 - r*c**4 - 10*c**2 + 7*c + 9*c**2 wrt c?
-432*c**2
Let u = 192 - 178. What is the second derivative of -57*t**2 - 74*t + u