- 3/20*f**6 + 0*f**4 + 5/2*f**3 + 0 + 0*f**5. What is the first derivative of n(j) wrt j?
-54*j**2
Let z(k) = -k**3 - 3*k**2 - 3*k + 1. Let n be z(-3). Let h = -7 + n. Find the second derivative of d + 3*d**3 + 0*d - 2*d**h + d wrt d.
6*d
Let a be (-12)/21 - (-138)/21. Find the third derivative of 53*g**2 - 4*g**2 + 45*g**6 - 27*g**a wrt g.
2160*g**3
Let b(f) be the third derivative of 13*f**8/112 + 173*f**4/24 + f**2 - 22. What is the second derivative of b(k) wrt k?
780*k**3
Find the second derivative of -177*d**3 + 7*d**4 - 2*d**4 + 59*d - 4*d**4 - 2*d**3 + 38*d**3 wrt d.
12*d**2 - 846*d
Let d be 8/(-10)*(-60)/24. Find the third derivative of 8*n**5 + 670*n - 17*n**d - 670*n wrt n.
480*n**2
Let a(z) = -z**2 + 4*z + 1. Let y be a(3). Let f = -878 + 883. What is the third derivative of 4*k**6 - 5*k**6 - 15*k**2 + f*k**2 - y*k**6 wrt k?
-600*k**3
Let i(d) = -d**5 + 2*d**3 - d**2 + 2. Let a(w) = -181*w**5 - 8*w**3 + 4*w**2 - 575*w - 10. Let g(m) = a(m) + 5*i(m). What is the third derivative of g(z) wrt z?
-11160*z**2 + 12
Suppose -4*v + 4 = 0, 62 = 4*j - 3*v - 51. Suppose 0 = 2*g + 21 - j. Find the second derivative of 8*s**g - s**4 + 12*s - 3*s wrt s.
84*s**2
Let m(c) be the third derivative of 0 + 7/6*c**3 + 0*c + 0*c**5 - 1/60*c**6 + 0*c**4 + 9*c**2. What is the first derivative of m(q) wrt q?
-6*q**2
Suppose 5*z - 1098 = 5*a - a, 4*a - 456 = -2*z. What is the third derivative of 36*y**2 + 214*y**3 + z*y**3 - 449*y**3 wrt y?
-78
Let a(v) = 89*v**3 + 87*v**2 - 2*v. Let u(s) = -s**3 - s. Let z(w) = -a(w) + 2*u(w). Find the third derivative of z(o) wrt o.
-546
Let c(s) = -s**2 - 9*s - 12. Let n be c(-7). What is the second derivative of -6*f + 2*f + 11*f**3 - n*f - 7*f wrt f?
66*f
Let l(h) be the second derivative of -25*h**4/12 - 4*h**3/3 + 461*h**2/2 - 424*h. Find the first derivative of l(s) wrt s.
-50*s - 8
Let y(n) = n**3 - 4*n**2 - 11*n - 1. Let i be y(6). Find the third derivative of -62*s**5 - 20*s**2 + 20*s**i + 14*s**5 wrt s.
-1680*s**2
Find the third derivative of -14*i**2 + 2*i - 19*i**2 + 75*i**2 - 18*i**2 + 205*i**3 - 20*i**2 wrt i.
1230
Let v(u) be the third derivative of 6*u**7/35 - 9*u**5/5 + 24*u**2. What is the third derivative of v(w) wrt w?
864*w
Let s(q) = -q + 2. Let m be (-4)/(-5)*1 + 78/15. Let o(v) = 7*v - 30. Let c(l) = m*s(l) - o(l). Differentiate c(k) with respect to k.
-13
Let c(r) = 40*r**2 - 4*r - 87. Let n(z) = -81*z**2 + 7*z + 175. Let d(t) = -7*c(t) - 4*n(t). Differentiate d(u) with respect to u.
88*u
Let t = -149 - -153. What is the second derivative of 509 - 488 - 3*j + 29*j**t + 4*j wrt j?
348*j**2
Let x(k) = -175*k + 1. Let c be x(1). Let m be 1/5 + c/(-30). What is the derivative of -2*r**4 + 4 - m - 2 - 3*r**4 wrt r?
-20*r**3
Let v(p) = -356*p**3 - 18*p + 155. Let k(n) = -89*n**3 - 4*n + 39. Let m(a) = 9*k(a) - 2*v(a). Find the first derivative of m(j) wrt j.
-267*j**2
Let w(y) be the first derivative of 0*y + 1/4*y**4 + 20/3*y**3 + 50 + 1/2*y**2. What is the third derivative of w(b) wrt b?
6
Let f(v) be the first derivative of -3/4*v**4 + 7/2*v**2 + 1 + 0*v**3 + 0*v. Find the second derivative of f(c) wrt c.
-18*c
Let h(v) = 501*v**4 + 5*v**3 - 5*v**2 + 10*v + 327. Let k(r) = 250*r**4 + 2*r**3 - 2*r**2 + 4*r + 163. Let l(x) = 2*h(x) - 5*k(x). Differentiate l(f) wrt f.
-992*f**3
Suppose -4*u = -8*u. Let j be u + -2 - 30/(-5). What is the second derivative of -j*t + t**4 + 3*t**4 - t wrt t?
48*t**2
Suppose 4*q + 11 = -1. Let h be (q - -4)*(-1 - -4). Differentiate -2*v**h - 2 + v**3 - v**3 + 3 wrt v.
-6*v**2
Differentiate 50*z**2 - 3*z**4 + 145 + 70 + 4*z**4 - 31*z**2 + 55 with respect to z.
4*z**3 + 38*z
Suppose 4*w - 41 = 5*u, 2*u + 2 = w - 9. Suppose 4*s - s - w = 0. What is the second derivative of -m**4 - s*m**4 - 13*m + 9*m wrt m?
-48*m**2
Let f(m) = 19*m**4 - m**3 + 174*m**2 - 9*m. Let v(y) = -y**4 + y**3 - y**2 + 3*y. Let w(g) = -f(g) - 3*v(g). Find the third derivative of w(l) wrt l.
-384*l - 12
Suppose -3*v + 5*g + 12 = 0, 8 = 4*v - 0*g - 4*g. Let p be 3 + 0 + -4 - v. What is the second derivative of -j - 4*j - j**2 - 2*j**2 + p*j wrt j?
-6
Find the second derivative of 178*z - 642 + 762*z**2 + 429*z - 32*z**2 + 642 wrt z.
1460
What is the third derivative of 5*q + 625*q**2 - 5*q - 47*q**3 - 378*q**3 - 658*q**2 wrt q?
-2550
Let q = 108 - 74. What is the third derivative of 14*j**5 + 4*j**2 + 14*j**5 - q*j**5 wrt j?
-360*j**2
Let m(q) be the third derivative of 43*q**6/60 + 71*q**3/2 - 35*q**2 - 2. Differentiate m(c) wrt c.
258*c**2
Let o be 2/(-2) - (-6 - 5/(-2)). Let f(g) be the second derivative of 0 + 5/6*g**3 - 2*g - o*g**2. Find the first derivative of f(l) wrt l.
5
Let o(w) = -4*w. Let r be o(-2). Let z be 1 - (r/(-2) + 2). Find the first derivative of -3 - 7*c**3 - 2 + 3*c**z wrt c.
-12*c**2
Suppose -4*f + 4 = 2*j - 0*j, -f - 5 = 2*j. Find the second derivative of 97*h + f*h**4 + h**3 - h**3 - 105*h wrt h.
36*h**2
What is the second derivative of 131 + n**3 - 4*n**3 + 2*n - 231 - 3*n**5 + n**3 + 3*n**3 wrt n?
-60*n**3 + 6*n
Let z = -6 + 7. What is the second derivative of -u**3 - z + 10*u + 7 - 6 wrt u?
-6*u
Let d(w) be the third derivative of -161*w**5/20 + 5*w**4/24 - 23*w**3/3 + 22*w**2 + 4*w. Find the second derivative of d(n) wrt n.
-966
Let w(z) be the third derivative of 0*z + 0*z**4 + 17/120*z**6 + 0*z**5 - 10*z**2 + 7/6*z**3 + 0. What is the first derivative of w(l) wrt l?
51*l**2
Suppose -y - 8 = 4*n, -3*y + 7*y + 3*n = -6. Let w(s) be the first derivative of 0*s**2 + 4/3*s**3 + 7 + s**4 + y*s. What is the third derivative of w(c) wrt c?
24
Let v(q) be the second derivative of 61*q**7/42 - q**4/4 - 39*q**3 + 2*q - 18. Find the second derivative of v(c) wrt c.
1220*c**3 - 6
Let x(u) be the third derivative of -181*u**5/30 - 11*u**4/24 + 4*u**3 - 441*u**2. Find the second derivative of x(w) wrt w.
-724
Let f(k) = k**3 - 2*k**2 + 4*k - 2. Let s be f(2). Let b be (4 + 5)*2/s. Differentiate -b + 6 + x**3 - 2*x**3 with respect to x.
-3*x**2
Let k(o) be the third derivative of 9*o**2 + 1/48*o**8 + 0*o**5 - 1/24*o**4 + 0 + 0*o + 0*o**7 + 0*o**3 + 0*o**6. What is the second derivative of k(y) wrt y?
140*y**3
What is the third derivative of 1510*n**5 - 1510*n**5 + 113*n**2 + 62*n**6 wrt n?
7440*n**3
Suppose -3*c = -6*c + 3. Let s(y) = 2 - 11*y**4 + y + 2*y + 7*y. Let w(v) = -v**4 + 1. Let a(t) = c*s(t) - 2*w(t). Find the second derivative of a(r) wrt r.
-108*r**2
Let u(h) = -h**2 - h. Let z(j) = 6*j**2 + 2*j - 7. Let k(q) = -2*u(q) + z(q). Let f(a) = a + 1. Let o(v) = -4*f(v) + k(v). What is the derivative of o(w) wrt w?
16*w
Let u(s) be the second derivative of 11/4*s**4 + 5/3*s**3 + 0*s**2 + 0 + 35*s. What is the second derivative of u(k) wrt k?
66
Let k(m) = 7*m**2 - 3*m + 4. Let l(g) = 6*g - 23*g**2 - 8 - 55 - 89*g**2 + 43*g. Let o(s) = 98*k(s) + 6*l(s). What is the first derivative of o(i) wrt i?
28*i
Find the second derivative of 33*y**4 - 768*y + 56*y**5 - 58*y**5 - 163*y**4 wrt y.
-40*y**3 - 1560*y**2
Find the second derivative of -3 + 3*i**2 + 1072*i + 15 + 921*i**3 - 1071*i - 3*i**2 wrt i.
5526*i
Let k(p) be the second derivative of -1001*p**3/6 - 735*p**2/2 - 3*p + 120. Differentiate k(a) wrt a.
-1001
Let k(w) be the second derivative of -148*w**7/21 - 190*w**3/3 - 338*w. Find the second derivative of k(l) wrt l.
-5920*l**3
Let i(n) = 7*n**4 - 8*n**2 + 103*n + 3. Let r(p) = 20*p**4 - 23*p**2 + 308*p + 8. Let m(x) = 8*i(x) - 3*r(x). Find the second derivative of m(l) wrt l.
-48*l**2 + 10
Let q = 18 + 53. Differentiate -76 + 159 + 25*a - q with respect to a.
25
Let z(j) = 17*j**2 - 5*j + 16*j + 10*j. Let m(x) = 16*x**2 + 22*x. Let u(f) = 3*m(f) - 4*z(f). Find the second derivative of u(i) wrt i.
-40
Let f be 12/(-12) - (-1 - 11). Find the second derivative of 19*i**3 + 11*i**3 + f*i + i**3 + 33*i wrt i.
186*i
Let i = 41 + -39. Find the third derivative of -33*m**2 - 3*m**i + 9*m**3 + 249*m - 249*m wrt m.
54
Let k(z) be the third derivative of z**6/120 - 43*z**5/60 - 11*z**4/24 + z**3/3 - 3*z**2 + 127. Find the second derivative of k(b) wrt b.
6*b - 86
Let a(c) be the first derivative of -23*c**4 + 113*c**2 + 354. Find the second derivative of a(n) wrt n.
-552*n
Let z(b) be the first derivative of 14*b**3/3 + 3*b**2 - 7*b - 12. Let x be z(3). What is the second derivative of 1