he derivative of a(f) wrt f?
-39*f**2
Suppose 96 = 4*o + 76. Find the second derivative of 12*g**4 + 68*g**4 + 12*g + 4*g**5 - o*g**5 wrt g.
-20*g**3 + 960*g**2
Let k(b) be the second derivative of -65*b**2 + 0 + 7/2*b**3 + 34*b. Differentiate k(p) wrt p.
21
Let k(i) be the second derivative of 231*i**5/4 + 1411*i**3/6 - 513*i. What is the second derivative of k(b) wrt b?
6930*b
Let t(k) be the third derivative of 1435*k**4/12 + 1871*k**3/3 + 4031*k**2. Differentiate t(v) wrt v.
2870
Let o(u) = 3196*u - 2116. Let w(b) = 13*b + 1. Let r(c) = -o(c) + 2*w(c). What is the derivative of r(k) wrt k?
-3170
Let j(m) be the first derivative of -m**3 - 4 + 35*m + 13*m**3 + 25*m - 37. Differentiate j(s) with respect to s.
72*s
Differentiate 12*x**4 - 163 + 45*x**4 - 756*x**4 with respect to x.
-2796*x**3
Let n(h) = 1203*h**3 - 12*h**2 + 332*h. Let u(b) = 3608*b**3 - 34*b**2 + 998*b. Let m(z) = 17*n(z) - 6*u(z). What is the second derivative of m(w) wrt w?
-7182*w
Let z(t) = t + 26. Let i be z(-24). What is the third derivative of -239*m**3 - 11*m**i + 285*m**2 - 40*m**2 - 34*m**3 wrt m?
-1638
What is the derivative of 6296 + 540 - 1039 + 39*s**3 + 17*s**2 + 48*s**3 - 2*s wrt s?
261*s**2 + 34*s - 2
Let i(p) be the third derivative of -449*p**8/84 - 187*p**5/15 + 2*p**2 + 1763*p. What is the third derivative of i(u) wrt u?
-107760*u**2
Let k = -152 - 15. Let v = k - -276. Find the third derivative of -141*j**4 - 15*j**2 + v*j**4 + 0*j**2 - 6*j**2 wrt j.
-768*j
What is the first derivative of 270 - 1050*j + 260 + 265 + 914 + 302 wrt j?
-1050
Suppose 2*b + 11 = -71. Let l = -35 - b. Find the third derivative of -10*f**6 + 11*f**6 + 13*f**2 - 22*f**l wrt f.
-2520*f**3
Differentiate -339*o + 7*o**2 + 177*o + 1033 - 8*o**2 + 9*o**2 wrt o.
16*o - 162
Let o(c) be the first derivative of 54*c**5 + 308*c**2 + 417. Find the second derivative of o(i) wrt i.
3240*i**2
What is the third derivative of 3*h**2 + 156413*h + 0 + 0 + 0 - 156687*h - 3286*h**3 wrt h?
-19716
Let b = -297 + 321. What is the derivative of -3*v - 134*v + b - 6 + 15 wrt v?
-137
Let u be ((-6)/(-10))/((-1)/(-5)). Let v(c) = -2*c**3 + 25*c**2 + 12*c + 28. Let p be v(13). Differentiate 13 + u*b**2 - 4*b**2 - p*b**2 + 2 wrt b.
-32*b
What is the second derivative of x + 2*x - 6*x + 2570*x**2 + 0*x - 38*x**2 + 142 wrt x?
5064
Let o(c) = -2*c**4 + 143*c**3 + c + 389. Let n(y) = -y**4 + 2*y**3 - y + 4. Let h(v) = -2*n(v) - o(v). Find the second derivative of h(f) wrt f.
48*f**2 - 882*f
Suppose 7*i + 12 = 2*o + 3*i, 14 = 2*o - 5*i. Suppose -o*n - n + 22 = 2*j, 66 = 4*j - 5*n. Differentiate j + 21*q**2 - 5*q**2 - 10 + 19 with respect to q.
32*q
Suppose -5*x - 152 = -3*x. Let k = x - -80. Find the third derivative of -16*y**2 - 128*y**k - 3*y**2 - 2*y**2 + 99*y**4 wrt y.
-696*y
Suppose 3*z + 392 = 4*k, 5*z - 19 - 177 = -2*k. What is the first derivative of 15*t**2 - 175 + k*t**2 + 142*t**2 wrt t?
510*t
Let x(m) = -49*m**2 + 15*m. Let k(r) = 97*r**2 - 31*r + 1. Suppose 162*d = 157*d + 25. Let w(h) = d*x(h) + 2*k(h). What is the second derivative of w(y) wrt y?
-102
Let h be -3*(3/(-9) + -2). Let n be 4/h + 20/14. What is the third derivative of 48*i**5 - 2*i**2 + 0*i**2 - 12*i**5 + 3*i**n wrt i?
2160*i**2
Let x(b) be the first derivative of -3*b**2/2 + b + 2. Let k be x(-1). What is the derivative of 9*q - k + 5*q - 13 + 5 wrt q?
14
Let r(y) = y**2 - 16*y + 1. Let n be r(16). Let u be (4 - -1 - -1) + -2 + n. Find the first derivative of 0*q - 9*q + 4 + u - 4 wrt q.
-9
Let i(j) be the third derivative of -13*j**9/72 - 133*j**5/15 - j**4/24 + j**2 + 80. Find the third derivative of i(t) wrt t.
-10920*t**3
Let b(g) = 9*g - 18*g + 8*g + 12. Let s be b(9). What is the second derivative of -6*a**3 + 0*a**3 - 9*a**3 + 21*a**s + 15*a wrt a?
36*a
Let u(k) be the first derivative of -73/3*k**3 - 106 - 91/2*k**2 + 0*k. What is the second derivative of u(a) wrt a?
-146
Find the third derivative of 4441 + 7*m**5 + 4*m**4 + 2*m**2 - 4*m**4 - 8*m**4 - 6411 - 58*m**5 wrt m.
-3060*m**2 - 192*m
Suppose 7*l = -5*a + 6*l + 24, 4*l - 4 = 3*a. Differentiate -7*p + 15 - 7*p - a*p + 5*p with respect to p.
-13
Let k(l) be the second derivative of -13*l**4/4 + l**3 + 885*l**2/2 + 655*l. Differentiate k(o) with respect to o.
-78*o + 6
Let i(n) be the second derivative of 1868*n**5/5 - 5779*n**2/2 - 202*n + 20. Differentiate i(t) wrt t.
22416*t**2
Find the third derivative of 0*u**5 - 5*u**5 + 327*u**3 - 3592*u**2 - 190*u**3 - 140*u**3 + 6*u**4 wrt u.
-300*u**2 + 144*u - 18
Find the second derivative of 767946*x**4 + 0 - 3344*x + 0 - 766187*x**4 wrt x.
21108*x**2
Let i(m) be the first derivative of -m**6/2 - 177*m**5/5 + 726*m**2 - 1340. Find the second derivative of i(h) wrt h.
-60*h**3 - 2124*h**2
Let x(b) be the first derivative of -35*b**4/12 - 24*b**2 + 23*b - 83. Let q(g) be the first derivative of x(g). What is the first derivative of q(i) wrt i?
-70*i
Let q be 16/(-72) + 202/18. Let j(l) = -l + 14. Let t be j(q). Find the first derivative of 9*y + 8*y - 4*y**t + 1 - 17*y wrt y.
-12*y**2
Find the second derivative of 5*f**2 - 6*f**3 - f**5 - 6684*f + 7*f**4 - 2*f**5 + 6*f**3 + 10059*f wrt f.
-60*f**3 + 84*f**2 + 10
Let n(s) be the first derivative of 962*s**3/3 - 480*s + 5995. Differentiate n(k) wrt k.
1924*k
Suppose 15 = -5*w + 5*x, -3 = 2*w - 5*x + 4*x. Let k(i) = i**3 + 3. Let g be k(w). Differentiate -7 + 0 + 8*v**g - 2*v**3 wrt v.
18*v**2
Let y(i) be the second derivative of -5/6*i**4 + 0*i**2 + 0 + 97*i + 0*i**6 + 59/3*i**3 - 1/21*i**7 + 0*i**5. What is the second derivative of y(u) wrt u?
-40*u**3 - 20
Let h(j) = -j + 2. Let k(s) = 1. Let p(t) = -h(t) + 3*k(t). Let a be p(3). What is the third derivative of -2*q**2 + 37*q**5 - a*q**2 - 36*q**5 wrt q?
60*q**2
Let x(c) be the third derivative of 65*c**9/168 - c**6/30 - 4831*c**5/60 + 1570*c**2. Find the third derivative of x(u) wrt u.
23400*u**3 - 24
Let r = -426 + 471. Find the second derivative of 89*s - r*s + 86*s + 18*s - 143*s**4 wrt s.
-1716*s**2
Let w(f) = -2*f**3 + 9*f**2 - f - 6. Let v be w(4). What is the third derivative of 7*z**2 + 101*z**6 - 121*z**2 + 34*z**v + 70*z**6 wrt z?
24600*z**3
Let o(j) be the second derivative of -1553*j**5/10 - j**3/2 + 9*j**2/2 - 1835*j. What is the second derivative of o(g) wrt g?
-18636*g
Let s(x) be the first derivative of -101/3*x**3 + 0*x**2 + 64 + 165/4*x**4 + 0*x. What is the third derivative of s(q) wrt q?
990
What is the third derivative of 169*v + 5*v**2 - 3*v**2 + 74*v**3 - 38*v**3 + 398*v**3 + 430*v**3 wrt v?
5184
Let z(s) = 8683*s**3 + 6*s**2 + 6*s + 9. Let x(m) = 17367*m**3 + 15*m**2 + 15*m + 18. Let v(g) = 2*x(g) - 5*z(g). Differentiate v(p) wrt p.
-26043*p**2
Let m(k) = k**3 + 3*k**2 + 4*k + 6. Let f be m(-2). Find the second derivative of -2*w + 0*w**2 - 4 + 28 + 13*w**2 - f*w**2 wrt w.
22
Let k(l) = 91*l - 52. Suppose -5*t = -2*z - 18 - 15, 0 = -5*t - 4*z + 39. Let d(r) = 136*r - 77. Let v(m) = t*k(m) - 5*d(m). Differentiate v(c) wrt c.
-43
What is the third derivative of 318*m**3 - 5*m**2 - 17*m**4 - 7 + 1 + 8 - 325*m**3 + 307*m - 1009*m wrt m?
-408*m - 42
Let h(p) = 7658*p**3 + 486*p**2 - 90*p - 7. Let j(u) = -2553*u**3 - 162*u**2 + 25*u + 2. Let l(c) = 2*h(c) + 7*j(c). What is the third derivative of l(q) wrt q?
-15330
What is the second derivative of -464*a**2 - 32*a**4 + 237*a**2 + 1 - 65*a**4 - 150*a + 226*a**2 wrt a?
-1164*a**2 - 2
Let m(p) = -1636*p**3 - 4648*p**2 + 240*p - 20. Let i(w) = w**2 + 12*w - 1. Let k(t) = 20*i(t) - m(t). Find the third derivative of k(f) wrt f.
9816
Let w(q) = 3971*q**2 + 21*q + 8078. Let p(o) = -o**2 + 7*o - 2. Let u(c) = 3*p(c) - w(c). What is the derivative of u(i) wrt i?
-7948*i
Let n(u) be the first derivative of -1729*u**5/5 + 2887*u + 3368. Differentiate n(f) wrt f.
-6916*f**3
Find the third derivative of -6*q**2 + 2*q - 6103 - 1402*q**6 + 12239 - 6133 wrt q.
-168240*q**3
Let o(r) = -119*r**3 + 6*r**2 + 15*r + 108. Let d(p) = -118*p**3 + 5*p**2 + 12*p + 110. Let l(u) = -6*d(u) + 5*o(u). Find the second derivative of l(m) wrt m.
678*m
Let d(m) be the third derivative of 107*m**8/48 - m**6/20 + 49*m**4/24 - 11*m**3/3 + 2*m**2 - 128*m. Find the second derivative of d(z) wrt z.
14980*z**3 - 36*z
Let k(w) = -w**3 - 3*w**2 + 2. Let z be k(2). Let c be z/81 + (-29)/(-9). What