 11*l + 32. Let c(k) = f(k) - 4*n(k). Find the third derivative of c(q) wrt q.
60*q**2 + 72312*q
Let l(h) = 14586*h**2 + 11919*h + 25. Let w(n) = 7302*n**2 + 5960*n + 15. Let f(y) = 3*l(y) - 5*w(y). Find the second derivative of f(j) wrt j.
14496
Let x(c) = -7*c**3 - 4*c**2 - 9*c + 6246. Let y(g) = 37*g**3 + 19*g**2 + 47*g - 31234. Let z(j) = 21*x(j) + 4*y(j). Differentiate z(t) wrt t.
3*t**2 - 16*t - 1
Let x be (-254)/(-8) + (-11)/(-44). Find the third derivative of 53*f**2 + x*f**2 + 56*f**2 + 59*f**2 + 21*f**2 - 12*f**5 wrt f.
-720*f**2
Let g(x) = x**2 - 10 - 3 - 24 + 5. Let r be g(-6). What is the first derivative of 470*y**r - 454*y**4 - 2 + 6 wrt y?
64*y**3
Let m be (2 + -2)*58/(-174). Let l(j) be the first derivative of -19*j + m*j**2 - 8 + 20/3*j**3. Find the first derivative of l(p) wrt p.
40*p
Let l(d) = -188*d**2 - 67*d + 9867. Let o(i) = -282*i**2 - 101*i + 14795. Let u(h) = 8*l(h) - 5*o(h). What is the derivative of u(n) wrt n?
-188*n - 31
Let x(k) be the third derivative of 29*k**7/210 - 11*k**6/120 + k**5/60 + 23*k**4 + 308*k**2. What is the second derivative of x(t) wrt t?
348*t**2 - 66*t + 2
What is the third derivative of 479*g**2 - 536*g**2 - 371*g**2 - 1227*g**4 - 455*g**2 - 5489*g**4 wrt g?
-161184*g
Let y(z) = 16*z**2 - 72. Let s(q) = q**2 - 1. Let l(j) = -3*s(j) + y(j). Find the first derivative of l(p) wrt p.
26*p
Let q(k) be the third derivative of 0*k**4 + 0*k**3 + 63/20*k**5 + 1/120*k**6 + 38/105*k**7 + 0 - 34*k**2 + 0*k. What is the third derivative of q(v) wrt v?
1824*v + 6
Let h be -6 + -7 + 13 - 1*-3. Find the third derivative of g - g**h + 0*g - 53*g**2 - 3*g**6 + g**3 wrt g.
-360*g**3
Suppose 320 = -0*g + 4*g. Let b = g - 52. Find the second derivative of 5*h - 7*h + b*h**5 + 3*h wrt h.
560*h**3
What is the second derivative of -2*v**2 - 2*v + 219*v**3 + 547 + 944*v**5 - 941*v**5 - 2488 wrt v?
60*v**3 + 1314*v - 4
Let r(z) be the third derivative of -83*z**5/12 + 17*z**4/24 + 11*z**3/6 - 4*z**2 - 46. Find the second derivative of r(b) wrt b.
-830
Find the third derivative of 293*b**3 + 2476*b**4 + 311*b**3 + 984*b**2 + 1 - 604*b**3 wrt b.
59424*b
Let k(y) = 2*y**3 - 6*y**2 + 4002*y + 20072. Let p(n) = -n**3 + 2*n**2 - 1329*n - 6690. Let u(t) = -3*k(t) - 10*p(t). Differentiate u(c) with respect to c.
12*c**2 - 4*c + 1284
What is the second derivative of -747*c**4 - 1324*c**4 - 32*c**4 - 179*c + 100*c wrt c?
-25236*c**2
Suppose 0 = 207*f - 206*f - 19. Find the third derivative of f + c**2 - 26*c - 36*c**3 - 10 - 9 wrt c.
-216
Suppose 2*p - 10 = -3*j + 39, -3*j + 5*p = -14. What is the second derivative of -44*k + 46*k - j*k - 87*k - 81*k**3 wrt k?
-486*k
Let b = 73 - 31. Suppose -2*a + b = 8*n - 6*n, -3*n + 2*a = -88. What is the second derivative of 0*x - 4*x + 2*x**5 + n*x wrt x?
40*x**3
What is the second derivative of 5 - 4432*d - 539*d**3 - 5 - 3379*d + 6468*d wrt d?
-3234*d
Suppose 0 = 3*i - 9, -y - 2*y = -3*i + 6. Differentiate 13 - 28*p + 3 + y with respect to p.
-28
Let c(g) = -2*g**3 - 2*g**2 + 18*g + 5. Let r be c(-5). Find the first derivative of -104 - r*w**3 + 60*w**3 + 54*w**3 + 20*w**4 wrt w.
80*w**3 - 3*w**2
Let t(w) = 10*w**2 - 4*w + 9. Let g(u) = 109*u - 229*u + 117*u + 9*u**2 + 8. Let n(a) = -4*g(a) + 3*t(a). Find the first derivative of n(h) wrt h.
-12*h
Let k = 57 + 16. Find the third derivative of 303*t**2 - 305*t**2 + 3 + 52*t - k*t**3 - 3 wrt t.
-438
Let h = 2240/3531 + 38/1177. Let p(g) be the first derivative of -13 + 0*g - 1/2*g**4 + 33/2*g**2 - h*g**3. Find the second derivative of p(k) wrt k.
-12*k - 4
Suppose -9*y = -10*y, -2*m = y. Let j(d) be the first derivative of 16*d**3 + 13/4*d**4 + 0*d**2 + 32 + m*d. What is the third derivative of j(f) wrt f?
78
Differentiate 131*f**3 + 468*f**3 - 183*f**3 + 8 - 3*f**2 + 244*f**3 with respect to f.
1980*f**2 - 6*f
Let r(c) = -c**2 + 38*c + 3. Let w be r(38). Let x = 0 + 3. What is the second derivative of 6*f + x*f**3 - 21*f + 2*f**w wrt f?
30*f
Let c(g) be the second derivative of -746*g**4 - 3080*g**3/3 + 11412*g. What is the second derivative of c(t) wrt t?
-17904
Let f(a) be the second derivative of 8243*a**4/12 - 1953*a**2/2 + 4727*a. Find the first derivative of f(j) wrt j.
16486*j
Suppose -4*j + 9*v + 26 = 6*v, 5*v = 5*j - 35. Find the third derivative of 7*n**3 + 29*n**2 - 7*n**3 - 21*n**j + 48*n**5 wrt n.
1620*n**2
Find the third derivative of -130*y**4 + 163*y**2 - 1339*y**5 + 258*y**4 - 128*y**4 wrt y.
-80340*y**2
Let u(i) be the second derivative of -1/2*i**3 - 19*i - 21/20*i**5 + 0 - 1/4*i**4 + 0*i**2. What is the third derivative of u(p) wrt p?
-126
Suppose -7*b - 49 = -8*b. Let w = -45 + b. Find the third derivative of 8*q**w - 7*q**4 + 21*q**2 - 3*q**4 - 6*q**4 wrt q.
-192*q
Let s(b) be the third derivative of 11/6*b**4 - 1/3*b**3 - 1/30*b**6 + 4*b**2 + 5 + 1/20*b**5 + 0*b. What is the second derivative of s(i) wrt i?
-24*i + 6
Let a(g) = 6*g**4 + 2*g + 2. Let d(h) = -21*h**4 - 284*h**3 + 3084*h**2 - 6*h - 6. Let f(p) = 3*a(p) + d(p). Find the third derivative of f(c) wrt c.
-72*c - 1704
Let t(w) be the third derivative of -301*w**5/10 + 198*w**3 + w**2 - 117. What is the first derivative of t(a) wrt a?
-3612*a
Find the second derivative of -181 - 186 + 367 - 1010*f + 988*f**2 wrt f.
1976
Let f = -32 - -42. Suppose x - f = -4*x. What is the first derivative of -4 - 6*j**4 + 2 - x - 2*j**4 wrt j?
-32*j**3
Suppose -u - 7 = -15. Let m be ((-4)/(u/(-6)))/(2/346). What is the third derivative of -519*n**3 + 20*n**4 - 11*n**2 + m*n**3 wrt n?
480*n
Let h be (-20)/(-6)*15/20. Let q(u) be the first derivative of 15 + 0*u**4 - 4/5*u**5 + 0*u**3 + 0*u - h*u**2. Find the second derivative of q(i) wrt i.
-48*i**2
Let c(f) be the third derivative of 2201*f**7/210 + 403*f**4/24 + 819*f**2. Find the second derivative of c(o) wrt o.
26412*o**2
Let g be (-55)/22*4/2 + 7. What is the third derivative of 127*q**5 - 41*q**2 - 25*q**g - 3*q + 48*q**2 wrt q?
7620*q**2
Let a(j) = -4*j**2 - 23*j - 26. Let r be a(-4). Suppose 0 = 2*b - 1 - 5. Differentiate 9 - 2*m**3 - r*m**b + 4*m**3 - 12*m**4 with respect to m.
-48*m**3
Let w = 209 + -184. What is the first derivative of -10*d + 4 - 11*d**4 - 2 + 18*d**4 - w*d - 6*d**4 wrt d?
4*d**3 - 35
Let c = -21 - -86. Suppose -55 = -5*w + c. Find the third derivative of -w*g**3 + 18*g**2 + 0*g**2 + g**2 wrt g.
-144
Let y(a) = -8*a**2 + 640. Let u(h) = 24*h**2 - 4*h - 1920. Let r(b) = -3*u(b) - 8*y(b). Differentiate r(g) wrt g.
-16*g + 12
Find the second derivative of -1927*h**4 + 961*h**4 + 8*h**5 - 3347*h + 270*h**2 + 967*h**4 - 5*h**5 + 5*h**5 wrt h.
160*h**3 + 12*h**2 + 540
Let u(t) = 61*t + 13*t - 783 + 662. Let q(y) = -72*y + 120. Let g(z) = 6*q(z) + 7*u(z). Differentiate g(n) wrt n.
86
Let m(s) = 4*s + 11. Let q be m(-3). Let l(w) = 60*w - 82. Let n(r) = -5*r - 1. Let p(z) = q*l(z) + n(z). Find the first derivative of p(g) wrt g.
-65
Let x(d) be the third derivative of 29*d**8/168 - 5*d**6/24 + 2*d**4/3 + 47*d**3/3 - 4175*d**2. What is the second derivative of x(g) wrt g?
1160*g**3 - 150*g
Let f(t) be the second derivative of -59*t**6/120 - 3*t**3/2 + 11*t**2/2 + 85*t. Let p(q) be the first derivative of f(q). What is the derivative of p(d) wrt d?
-177*d**2
Differentiate 97*u**2 - 115 + 105 - 1276 - 2*u wrt u.
194*u - 2
Let o be (-13 + 7)*(1 - (-2 + 5)). Find the second derivative of r - 4887*r**3 + o*r**4 + 5*r + 4889*r**3 + 3*r**4 wrt r.
180*r**2 + 12*r
Let z = 722 - 717. What is the third derivative of 7*q**3 - 2*q**6 + 2*q - z*q**3 - 3*q**3 - 25*q + 4*q**2 + q**6 wrt q?
-120*q**3 - 6
Find the third derivative of -2301*c - 5747*c**4 - 6514*c**4 - 1965*c**2 + 2301*c wrt c.
-294264*c
Let f(l) be the second derivative of 145*l**5/4 - 139*l**4/6 - 419*l. What is the third derivative of f(w) wrt w?
4350
Let d(a) = 3*a - 10. Let z be d(4). What is the third derivative of -k**z - k**2 + 5*k**6 + 22*k**3 - 23*k**3 + 18 - 5 wrt k?
600*k**3 - 6
What is the third derivative of 3420*w**2 + 2447*w**4 + 1196*w**4 - 713*w**4 - 339*w**2 wrt w?
70320*w
Let r = -25 - -42. Suppose -z + 5*w = -54 - 4, -2*w - 135 = -3*z. Find the first derivative of -8*t - 6*t - r + z - 4*t wrt t.
-18
Suppose 5*m - 3*o = -o + 137, 0 = 4*m - 5*o - 113. What is the third derivative of 7 - c**6 - m*c**2 + 16*c**2 + 3*c**3 - 7 wrt c?
-12