wrt t?
-188*t
Let i(q) be the third derivative of 0 + 0*q**7 + 0*q**5 + 0*q**6 + q + 8*q**2 - 1/12*q**4 + 1/112*q**8 - 2*q**3. Find the second derivative of i(f) wrt f.
60*f**3
Let f(a) = 6*a**4 + 32*a**3 - 4*a + 15. Let p(y) = -153*y + 158*y - 8 - 7*y**4 - 33*y**3 - 8. Let c(w) = -5*f(w) - 4*p(w). Differentiate c(h) wrt h.
-8*h**3 - 84*h**2
Let a(k) be the second derivative of -k**5/20 - 16*k**4/3 + 7*k**3/6 - 57*k**2/2 - 151*k - 2. What is the second derivative of a(y) wrt y?
-6*y - 128
Suppose -h + 6 = 1. Let y be 0 - -1*(13 + -8). What is the second derivative of -6*x - x**5 + 0*x**y + 2*x**h wrt x?
20*x**3
Let u(i) be the first derivative of i**5/5 + 1287*i**2/2 - 2157*i + 3304. Find the first derivative of u(l) wrt l.
4*l**3 + 1287
Let n(t) be the second derivative of -1 - 58/3*t**4 + 0*t**3 - 35*t - 301/2*t**2. What is the first derivative of n(k) wrt k?
-464*k
Find the first derivative of -357 - 1282*s - 339 - 565 + 554*s - 846*s wrt s.
-1574
Let q = 131 - 128. Find the third derivative of 3492*u**q - 3492*u**3 - 31*u**5 + 85*u**2 wrt u.
-1860*u**2
Let m(i) be the third derivative of -i**9/252 - 23*i**6/20 + 2*i**5/15 - 3*i**4 + 12*i**2 - 80*i. What is the third derivative of m(d) wrt d?
-240*d**3 - 828
Let u(b) be the second derivative of 0*b**4 + 3 + 101/20*b**5 + 1/3*b**3 - 117/2*b**2 - 23*b. What is the second derivative of u(k) wrt k?
606*k
Let h be 224/120 - 10/(-75). What is the third derivative of -113*j**3 + 16*j**3 - 77*j**2 + 22*j**h wrt j?
-582
Let g(r) = r**4 + 2*r + 1. Let m(s) = 7*s - 1861. Let w(d) = -4*g(d) + m(d). Differentiate w(b) wrt b.
-16*b**3 - 1
Let w(z) be the second derivative of -z**5/20 + z**4/12 - z**3/6 + 551*z**2 - 1090*z - 2. What is the derivative of w(j) wrt j?
-3*j**2 + 2*j - 1
Let z(b) = -5*b**3 + 947*b**2 + 9*b - 580. Let h(u) = -14*u**3 + 2843*u**2 + 25*u - 1740. Let c(m) = 6*h(m) - 17*z(m). Find the second derivative of c(l) wrt l.
6*l + 1918
Differentiate -8857 + 5487*l**3 - 2839*l**3 - 545*l - 2652*l**3 with respect to l.
-12*l**2 - 545
Let w(b) be the first derivative of 2209*b**4/4 + 191*b**2 - 2929. Find the second derivative of w(v) wrt v.
13254*v
Let p(h) be the second derivative of 0*h**2 + 0*h**5 + 43/56*h**8 + 5/6*h**3 - 238*h + 0*h**7 + 0*h**6 + 0 - h**4. What is the third derivative of p(r) wrt r?
5160*r**3
Let n(g) be the first derivative of 5977*g**4/4 - 6*g**2 + 344*g + 6155. Find the second derivative of n(v) wrt v.
35862*v
Let p(g) be the second derivative of 9*g**5/20 + 4*g**4 - 203*g**3/2 + 5*g - 45. What is the second derivative of p(q) wrt q?
54*q + 96
Let o(v) be the first derivative of -2529*v**4/4 + 323*v**3/3 + v**2 + 462. Find the third derivative of o(x) wrt x.
-15174
What is the first derivative of 24044 + 378*y**4 - 10532 + y**3 - 11913 wrt y?
1512*y**3 + 3*y**2
Let w(y) be the second derivative of 51*y**8/56 + 71*y**7/42 + 943*y**4/12 - 6858*y. Find the third derivative of w(z) wrt z.
6120*z**3 + 4260*z**2
Let n(m) = -14 - 6 + 0*m + 6*m + 5. Let b be n(3). What is the first derivative of 16*c**3 + 1 + 16*c**b + 2*c**3 wrt c?
102*c**2
Let v(o) be the third derivative of 2*o**7/105 + 121*o**6/60 - 2701*o**5/30 + 2341*o**2. What is the third derivative of v(u) wrt u?
96*u + 1452
Suppose -2*c - 28*c = -120. Let w(n) be the first derivative of c + 0*n**2 + 5*n - 1/3*n**3. What is the derivative of w(f) wrt f?
-2*f
What is the first derivative of -i**4 + 2794*i - 2831*i - 3129 + 8*i**4 wrt i?
28*i**3 - 37
Suppose 4*n = -n - 5*k + 145, 5*n + 3*k = 135. Find the second derivative of 4*w**4 - n*w**4 + 8*w - 79*w + 2*w**4 wrt w.
-216*w**2
Differentiate -20*b - 4408*b**2 + 4405*b**2 + 575 - 24*b wrt b.
-6*b - 44
Let t(h) = 10640*h**3 - 3135*h - 130. Let z(g) = -968*g**3 + 285*g + 12. Let d(r) = -6*t(r) - 65*z(r). What is the second derivative of d(m) wrt m?
-5520*m
Let i = -1981 - -4984. Suppose i = 4*n + 5*j, 2*n + 3*n + 2*j = 3775. What is the second derivative of 791*w - 10*w**2 - n*w + 2*w**2 wrt w?
-16
Let j(s) be the first derivative of 43/4*s**4 - 8 + 0*s**3 + 0*s**2 - 61*s. Find the first derivative of j(p) wrt p.
129*p**2
Let k be (40/12)/((-2)/(-18)). Let o = 36 - k. Differentiate -1 + 10*b + b + o*b + 9*b wrt b.
26
What is the first derivative of -42*p + 562 + p + 98*p**3 - 3099 + 41*p wrt p?
294*p**2
Let d(h) = 11172*h**2 - 16724. Let l(b) = -5570*b**2 + 8363. Let s(r) = 3*d(r) + 7*l(r). Find the first derivative of s(g) wrt g.
-10948*g
Differentiate -209*i - 205*i + 104*i**3 - 1374 + 412*i wrt i.
312*i**2 - 2
Find the third derivative of -79496 - k**2 + 120*k + 1513*k**5 + 158999 - 79501 wrt k.
90780*k**2
Let i(s) = 547*s + 1135. Let k(l) = -1105*l - 2270. Let h(v) = -14*i(v) - 8*k(v). Differentiate h(r) with respect to r.
1182
Let v(i) be the third derivative of -419*i**4/4 - 1580*i**3/3 - 5982*i**2. Find the first derivative of v(m) wrt m.
-2514
Let s(i) = i**2 - 3*i - 50. Let n(c) = -c**2 + 2*c + 50. Let m = 145 + -148. Let x(v) = m*n(v) - 2*s(v). What is the first derivative of x(k) wrt k?
2*k
Let u = -385 - -406. What is the third derivative of -63*n**6 - 16 - u + 0*n + 0*n - 2*n**2 wrt n?
-7560*n**3
Let o(b) be the first derivative of 4789*b**3/3 - 4579*b - 840. Differentiate o(s) wrt s.
9578*s
Find the third derivative of -r**4 + 145 - 56*r**6 - 287 - 323*r**5 + 142 + 345*r**5 - 11859*r**2 wrt r.
-6720*r**3 + 1320*r**2 - 24*r
Let h(x) = -1042*x**2 + 5*x - 505. Let o(d) = 3123*d**2 - 14*d + 1513. Let w(s) = 14*h(s) + 5*o(s). Differentiate w(k) with respect to k.
2054*k
Let h(r) = 566*r - 2298. Let i(k) = k + 45. Let o(j) = -h(j) - 8*i(j). Differentiate o(u) with respect to u.
-574
Let i = -2 - -4. Let r be ((560/(-15))/(-14))/((-10)/(-15)). What is the second derivative of -15 + 39 + 26*x + r*x**i - 24 wrt x?
8
Suppose 2*j = -4*m + 190, -10*m + 5*j = -12*m + 107. Find the third derivative of 13*y + m*y**3 - 10*y**2 + 18*y + 14*y - 39*y wrt y.
276
Suppose 6*m - 10*m - w + 14 = 0, 0 = 3*m + 2*w - 13. What is the third derivative of 88*o - 28*o**2 - 88*o + 101*o**m wrt o?
606
Let r(i) be the first derivative of -833*i**2/2 + 28*i - 1394. Differentiate r(v) with respect to v.
-833
Let z(i) = i - 1. Suppose 4*r = 3 - 7. Let w(a) = 20*a**2 + 2*a - 5. Suppose 0 = -5*v - 13 + 23. Let j(m) = r*w(m) + v*z(m). Differentiate j(k) wrt k.
-40*k
What is the first derivative of 44*z**2 - 23*z**2 - 1240*z**4 + 1507 - 6*z**2 - 15*z**2 wrt z?
-4960*z**3
Let f(r) be the second derivative of -41*r**8/56 + 2*r**6/15 - 29*r**4/3 + r**3/3 + 263*r + 3. Find the third derivative of f(w) wrt w.
-4920*w**3 + 96*w
Let w(o) = -o**2. Suppose 3*u - 6 = -5*s + 56, 2*s = 5*u. Let j(v) = 41*v**3 + 5*v**2 + 28. Let r(k) = s*w(k) + 2*j(k). Find the first derivative of r(d) wrt d.
246*d**2
Let p(y) be the second derivative of -25*y**4/6 + 5*y**3/2 - 12*y**2 - 120*y. Let l(j) be the first derivative of p(j). Differentiate l(s) wrt s.
-100
Let h = 143 + -141. What is the second derivative of -203*j**h + 203*j**2 - 19 + 3*j - 40*j**4 - j**3 wrt j?
-480*j**2 - 6*j
Suppose 0 = -4*v + a + 525, 4*v - 384 = 2*a + 146. Differentiate v*p - p**2 - 115 - 24*p - p**2 + 12*p + 17*p with respect to p.
-4*p + 135
Let z(w) be the first derivative of 2414*w**5/5 - w**2 + 274*w - 2385. What is the second derivative of z(b) wrt b?
28968*b**2
Find the third derivative of 2 - 160*t**2 + 798*t**3 - 227*t**2 + 27*t**2 + 0 + 68*t**2 wrt t.
4788
Let c = -155 + 238. What is the second derivative of -2*j**3 - 3*j**2 - 1 + 66*j + 75*j - c*j wrt j?
-12*j - 6
Differentiate 6305*c - 752 + 221*c**2 + 6303*c - 12609*c wrt c.
442*c - 1
Suppose -5*r + 113 = -87. Let p = r - 16. Find the third derivative of 13*j**2 + j**2 + p*j**6 - 10*j**6 wrt j.
1680*j**3
Let y = 52 + -37. Let m = 20 - y. What is the third derivative of 0*s**2 - 3*s**m + 3*s**2 - 12*s**2 wrt s?
-180*s**2
Let l(r) be the second derivative of r**3/3 - 8*r**2 + 5*r. Let n be l(9). What is the third derivative of 6*x**6 + 11*x**6 + 6*x**2 + 7*x**n - 3*x**2 wrt x?
2040*x**3
Let h(o) be the third derivative of -2055*o**4/8 - 6275*o**3/6 + 6786*o**2. What is the derivative of h(q) wrt q?
-6165
Suppose -d + 8*d = 287. Find the third derivative of 28*y + 14*y + d*y**5 - 43*y - 28*y**2 - 2*y**2 wrt y.
2460*y**2
Let k(y) = -y**3 + y**2 - y + 9. Let q(o) = -1393*o**3 - 6