42
Let c(z) = 2750*z**3 - 134*z**2 - 25*z. Let t(p) = 1378*p**3 - 67*p**2 - 13*p. Let m(l) = 3*c(l) - 5*t(l). What is the third derivative of m(d) wrt d?
8160
Let v(n) be the third derivative of -17*n**7/30 - 1793*n**3/6 - 1599*n**2 + 2. What is the first derivative of v(p) wrt p?
-476*p**3
Let r(b) be the third derivative of -83*b**4 + 289*b**3/3 - 1393*b**2. Differentiate r(x) wrt x.
-1992
Let o(j) = j**3 + 19*j**2 + 17*j - 5. Let i be o(-18). Find the second derivative of 4*y - i*y + 4 - 18*y + 8*y**2 + 20*y**4 + 12*y - 20*y wrt y.
240*y**2 + 16
Let q(r) = 29*r**3 - 37*r**2 - 13*r - 14. Let o(f) = 78*f**3 - 109*f**2 - 36*f - 42. Let j(s) = 3*o(s) - 8*q(s). What is the second derivative of j(y) wrt y?
12*y - 62
Let t(g) = -g**3 - 7*g**2 - g + 32. Let v be t(-6). What is the third derivative of -61*w**5 - 2*w**3 + 58*w**5 + 2*w + 4*w**4 + w**v - 4*w**4 wrt w?
-180*w**2 - 12
Let y = -27 - 27. Let k = y - -68. Find the second derivative of -15*u - 42*u**4 + 54*u**4 - k*u wrt u.
144*u**2
Find the second derivative of 1668*r - 15 - 1027*r - 14472*r**4 + 44 - 18 - 18 wrt r.
-173664*r**2
Let a be (2 - 1)*3 - -23. What is the first derivative of 275 - 48*n + 6*n - 4*n - a*n - 88*n wrt n?
-160
Let z = 109 - 107. Let a be (63/(-84))/(z/432*-2). Differentiate 24 - 65 + a + 17*j**3 wrt j.
51*j**2
Suppose 0 = 177*j - 174*j - 6. Let g(y) = 139*y + 53. Let u(z) = 139*z + 52. Let f(d) = j*u(d) - 3*g(d). Differentiate f(p) wrt p.
-139
Let u = -433 + 435. Find the third derivative of 153*w**2 - 24*w**5 - 82*w**5 - 70*w**2 - 86*w**u - 25 wrt w.
-6360*w**2
Let p be 4 + 2 - ((-9)/12 - (-209)/44). Let g(d) be the third derivative of 0 + 1/2*d**4 + 2*d**p + 2*d**3 + 0*d. What is the first derivative of g(f) wrt f?
12
Suppose -3*x - 18 = -2*m, -4*m + 5*x + 29 = -m. Find the third derivative of -5*s**2 - 2 - 774*s**m + 774*s**3 + 44*s**4 wrt s.
1056*s
What is the third derivative of 345214*g**4 - 87*g + 5*g**2 - 345214*g**4 + 3 + 146*g**6 - 4 + 6*g**2 wrt g?
17520*g**3
What is the second derivative of 12 + 79*b**5 - 92 + 87*b**5 - 463*b**5 - 87*b - 639*b**5 wrt b?
-18720*b**3
Let z(c) be the first derivative of -327*c**7/7 + c**6 - 1400*c**3/3 - 862. What is the third derivative of z(k) wrt k?
-39240*k**3 + 360*k**2
Suppose 2*l + 16 = 4*k, 0*k + 3*l + 9 = k. Suppose -3*a - k = -9. Find the second derivative of -2*f - 12*f**2 + f**2 + 5*f**a wrt f.
-12
Let c(v) be the first derivative of -4623*v**4/4 + 3133*v**3/3 - 3580. What is the third derivative of c(x) wrt x?
-27738
Let d be 24/(-32) - 2*33/(-24). What is the second derivative of -2*h**3 + 9*h + 3 + 5*h**d - 6*h + 6*h wrt h?
-12*h + 10
Let s be (11 - 5)*((-4)/(-3) - 1). Suppose 0 = -g + 3*g + 5*j + 6, -s*j = 8. Find the second derivative of v + 20*v - 6*v + g*v**3 wrt v.
42*v
Let l(v) be the first derivative of -22*v**6/3 - v**5/5 + v**3/3 + 557*v**2/2 + 1120. What is the third derivative of l(j) wrt j?
-2640*j**2 - 24*j
Suppose z - 8 = b, 5*z + 7*b - 4*b = 0. Let x(p) be the first derivative of p**z + 0 - p**3 + 10 - 2*p**4 - 7*p. Differentiate x(r) wrt r.
-24*r**2
Let d(u) = -100*u**3 + 10*u**2 - 5*u - 96. Let m(o) = -3*o - 99*o**3 - o - 97 + 14*o**2 - 6*o**2. Let l(w) = -4*d(w) + 5*m(w). Differentiate l(v) wrt v.
-285*v**2
Differentiate -2437*s + 286 + 285 + 241 + 465 with respect to s.
-2437
What is the second derivative of -10*c + 16*c + 11*c**3 - 6*c + 18*c**2 - 13*c - 680 + 4*c**4 + 834 wrt c?
48*c**2 + 66*c + 36
Let i(w) = -w - 1. Let f be i(-1). Suppose 26*t = -904 + 2828. Differentiate f + 81*y**4 + 9 - t*y**4 with respect to y.
28*y**3
Let p be (-15)/(-10)*(74/3 + -2). Let f = -26 + p. Find the second derivative of -f*c - 531 - 7*c**3 + 531 - 2*c**3 wrt c.
-54*c
Let j(p) = 43*p**4 + 12*p**2 + 103*p + 9. Let z(h) = -44*h**4 - 11*h**2 - 102*h - 7. Let m(u) = -6*j(u) - 7*z(u). What is the second derivative of m(f) wrt f?
600*f**2 + 10
Let s(f) = -3*f + 6. Let h be s(18). Let j = -36 - h. What is the first derivative of -19 + j*u - u + 0*u + u wrt u?
12
Let h(r) = -15*r**3 + 59*r**2 + r - 3172. Let u(o) = -13*o**3 + 60*o**2 + o - 3172. Let z(a) = -4*h(a) + 5*u(a). Find the second derivative of z(x) wrt x.
-30*x + 128
Let w = 11 + -9. Let x(d) = -84*d - 4*d**3 + 2*d**3 - 14*d**w + 84*d. Let q(s) = -s**3. Let c(a) = -4*q(a) + x(a). Find the third derivative of c(i) wrt i.
12
Suppose 5*n = 4*n + 5, 3*n = -j + 88. Find the third derivative of -12*x**2 + 2*x**3 + 112*x**2 + j*x**6 - 75*x**6 + 34*x**2 wrt x.
-240*x**3 + 12
Suppose 0 = 375*z - 380*z + 20. What is the third derivative of m**2 + 4*m**z - 7*m**2 - 3*m**4 - 120*m**3 + 165*m - 153*m + 2*m**2 wrt m?
24*m - 720
Let r = 41 - 21. Suppose -5*o + r = 2*t - 5*t, -7 = -2*o + t. What is the first derivative of 7 + o + 0 + 15*s**2 wrt s?
30*s
Let v(o) be the first derivative of o**5 - 56*o**3 + 7919*o - 982. Differentiate v(d) wrt d.
20*d**3 - 336*d
Let u(t) be the second derivative of 323*t**8/56 + t**5/5 - t**4/6 - 178*t**3/3 + 11*t - 189. Find the third derivative of u(x) wrt x.
38760*x**3 + 24
Let x(j) = 7*j + 65. Let w be x(-6). What is the derivative of 5*l + 2*l**2 - 6*l - 4 + 10*l - w wrt l?
4*l + 9
Let x(o) be the first derivative of 2*o**5/5 + 169*o**3 - 201*o**2/2 + 1721. What is the second derivative of x(y) wrt y?
24*y**2 + 1014
Suppose -81 = 5*z + 84. Let y = z - -36. What is the second derivative of 15*v - 53*v + 19*v + 16*v**y wrt v?
96*v
Let z = -195 + 202. What is the second derivative of 2*i**3 - 49*i**3 - 7*i**3 - 21*i**3 - z - 4*i wrt i?
-450*i
Let d be 1*(5 - (-2 - 1)). Let s = -5 + d. Find the second derivative of 3*g**3 - 5*g - g - g**3 - 3*g**s wrt g.
-6*g
Let p(w) be the second derivative of -7*w**6 - 35*w**4/3 + w**2 + 4*w - 6. What is the third derivative of p(x) wrt x?
-5040*x
Let c be (-2)/(-5)*(-8 - (-155 + -3)). What is the second derivative of 65*t**2 + c*t**2 + 1 + 69*t**2 - 190*t**2 - 59*t - 8*t**3 wrt t?
-48*t + 8
Let g(c) be the second derivative of -1177*c**6/10 - 395*c**2/2 - 17*c - 2. Differentiate g(u) wrt u.
-14124*u**3
Let k(g) be the second derivative of 577*g**5/10 + g**4/4 - 115*g**2 + 3*g + 71. What is the third derivative of k(v) wrt v?
6924
Let v(p) be the first derivative of -p**4 - 107*p**3/3 + 12135*p + 11471. Differentiate v(j) with respect to j.
-12*j**2 - 214*j
Find the third derivative of -61 + t**2 - 1767054*t**3 - 2*t**6 + 1767121*t**3 + 13*t - 3*t**2 wrt t.
-240*t**3 + 402
Let i(h) = -21*h**4 - 1281*h**2 + 5553*h. Let j(y) = 48*y**4 + 2563*y**2 - 11106*y. Let n(w) = -7*i(w) - 3*j(w). Find the second derivative of n(z) wrt z.
36*z**2 + 2556
Let q(i) be the first derivative of -i**4/4 + 217*i**3/3 + 923*i**2/2 - 2271. What is the second derivative of q(o) wrt o?
-6*o + 434
Let d(q) be the first derivative of -q**5/20 + 4*q**4/3 - 41*q**2/2 - 23*q + 15. Let n(a) be the first derivative of d(a). Differentiate n(l) wrt l.
-3*l**2 + 32*l
Let c = 611 - 607. Find the second derivative of 18*y**c + 69 - 6980*y**2 + 6980*y**2 - 2*y wrt y.
216*y**2
Let z(n) be the second derivative of -126*n**5 - 956*n**3/3 + 17*n + 2. Find the second derivative of z(d) wrt d.
-15120*d
Let c(o) be the first derivative of -313*o**6 + 3*o**2/2 + 193*o + 6520. Find the second derivative of c(g) wrt g.
-37560*g**3
Let n = 550 - 547. Differentiate -1 + n + 2 - k**4 + 0*k**4 + 35*k + 2*k**4 with respect to k.
4*k**3 + 35
Let i(h) = 11*h**2 + 13*h + 8. Let l be i(-3). Find the second derivative of 1 + 1 + 114*d**5 + l*d**5 - 2 - 132*d wrt d.
3640*d**3
Suppose -6*m + 29 = 17. Let x be (2 - 6/m)/(6/(-132)). What is the first derivative of 0*i**3 - 11 - 13 + x*i**3 wrt i?
66*i**2
Let u(r) be the third derivative of 5*r**6/8 - 3*r**5/20 - r**4/24 + 2993*r**3/6 - 1907*r**2. What is the first derivative of u(f) wrt f?
225*f**2 - 18*f - 1
Let i(b) = -2*b**3 - 2*b**2 + 5*b + 6. Let l be i(-2). Suppose l*g - 12 = -4. Find the third derivative of -18*c**4 - 4 + 12*c**g + 4 + 0*c**2 wrt c.
-432*c
What is the third derivative of -2467*j**2 + 363622 - 188*j**5 + 7*j**4 - 363622 wrt j?
-11280*j**2 + 168*j
Let d(r) = 2743*r**2 + 45*r - 477. Let i(j) = -15*j. Let t(g) = -d(g) - 3*i(g). Differentiate t(x) wrt x.
-5486*x
Find the first derivative of 162085 + 0*j**2 - 2*j**3 + 48*j**4 + 0*j**2 - 161448 wrt j.
192*j**3 - 6*j**2
Find the third derivat