j**2 + 24*j - 8. Let l be q(-13). Differentiate 113 - l*w**4 + 26*w**4 + 31*w**4 + 37*w**4 with respect to w.
304*w**3
Let k(s) be the third derivative of 5*s**8/84 + s**7/105 + 359*s**5/20 + 1570*s**2. Find the third derivative of k(g) wrt g.
1200*g**2 + 48*g
Let a(b) be the first derivative of 4023*b**4/4 - 5*b**3/3 - 313*b + 2234. What is the third derivative of a(y) wrt y?
24138
Let l(t) = -t**3 - 2*t**2 - 24*t - 72. Let m be l(-4). Find the third derivative of 144*v**3 - m*v**2 + 28*v**3 + 0 + 26*v**2 + 2 + 32*v**2 wrt v.
1032
Let j(d) be the second derivative of 83*d**5/5 - 3*d**4/4 + 38*d**3/3 + 9*d**2/2 - 194*d + 13. Find the second derivative of j(q) wrt q.
1992*q - 18
Let n be (-152)/6*60/(-8). Let z = n + -119. What is the third derivative of 22*v**5 + 71*v**3 + 15*v**2 - z*v**3 wrt v?
1320*v**2
Differentiate -92*s**2 + 61*s**3 + 290*s**3 + 90*s**2 - 2757 - 2580 with respect to s.
1053*s**2 - 4*s
Let t(a) be the second derivative of 803*a**5/10 + 296*a**2 - 155*a - 2. What is the derivative of t(l) wrt l?
4818*l**2
Let i(s) be the second derivative of -256*s**3/3 - 1347*s**2/2 - 3*s - 203. Differentiate i(g) with respect to g.
-512
Let z(p) be the first derivative of 35 + p**2 + 27 + 2353*p**3 - 2356*p**3. What is the second derivative of z(a) wrt a?
-18
Let k(v) be the second derivative of 4*v + 97/2*v**2 - 8 - 15*v**3. Find the first derivative of k(p) wrt p.
-90
Let h(f) be the second derivative of -f**8/28 - 33*f**6/10 + f**5/2 - 28*f**4 - 5*f**3/6 + 431*f. What is the third derivative of h(k) wrt k?
-240*k**3 - 2376*k + 60
Let g = 36463/30 + -1215. Let d(f) be the second derivative of 0*f**5 + 0 + g*f**6 + 0*f**4 + 0*f**3 + 3/2*f**2 - 14*f. What is the derivative of d(h) wrt h?
52*h**3
Let n be (-4)/(20/15*3/(-6)). Find the third derivative of 43*o**2 + 8*o**5 - 8*o**5 + 243*o**n - 133*o**6 + o**3 wrt o.
13200*o**3 + 6
Let s = 161 - 158. Find the third derivative of 1800*l**5 - 1761*l**5 + 21*l**2 + 69*l**2 + l**s wrt l.
2340*l**2 + 6
Let f(o) = 262*o**3 - 18*o**2 - 92*o + 6. Let y(x) = -105*x**3 + 7*x**2 + 36*x - 2. Let z(q) = 5*f(q) + 12*y(q). Find the second derivative of z(s) wrt s.
300*s - 12
Let i(y) be the second derivative of 4*y**7/7 + 7*y**4/12 + 1061*y**3/6 - 1603*y. What is the second derivative of i(d) wrt d?
480*d**3 + 14
Let x(p) = 5*p**2 - 47*p - 27. Let n be x(10). What is the third derivative of 12*c**n + 119*c**3 + 3326*c**2 - 3537*c**2 wrt c?
786
Let y(z) = 42*z**2 + 25*z. Let p(r) = 53*r + 9856*r**2 - 9478*r**2 + 171*r. Let l(q) = -6*p(q) + 52*y(q). What is the second derivative of l(s) wrt s?
-168
Let q(x) be the second derivative of -72*x + 0*x**2 + 0 + 2*x**5 + 10/3*x**3 + 0*x**4. Find the second derivative of q(g) wrt g.
240*g
Suppose -1 = 19*l - 58. Let x(n) = 4*n - 10. Let o be x(6). What is the third derivative of -l*h**4 - 12*h**2 - 2*h**4 - o*h**2 wrt h?
-120*h
Let h be (24/14)/((-18)/(-3339)). What is the second derivative of -6*s**2 + 7*s**2 - 318 + h + 60*s wrt s?
2
Let b(m) be the third derivative of 0*m**3 - 27/8*m**4 - 1/10*m**5 + 0*m - 38 + m**2. Find the second derivative of b(o) wrt o.
-12
Let a(r) = -6092*r**3 - 586*r**2 - 6. Let v(d) = -6087*d**3 - 587*d**2 - 5. Let m(p) = 5*a(p) - 6*v(p). What is the third derivative of m(i) wrt i?
36372
Let c be (-20)/16 + 275/44. Let n(z) be the second derivative of 0 + 0*z**4 + 3/4*z**c - 14*z + 0*z**3 + 3*z**2. What is the derivative of n(l) wrt l?
45*l**2
Suppose -4*s = 17 - 65. Suppose -s*x + 6*x + 24 = 0. Find the second derivative of 0*i - x*i + 6*i**4 + 7*i wrt i.
72*i**2
Let a(m) = 6*m + 24. Suppose -4*i = -2*f + 10, -4*f + 43 - 53 = -2*i. Let d(y) = -y + 1. Let g(r) = i*a(r) + 45*d(r). Find the first derivative of g(x) wrt x.
-75
Let u(j) be the first derivative of 17/6*j**6 - 100 + 0*j**4 + 1/2*j**2 + 0*j**5 + 0*j**3 - 9*j. Find the second derivative of u(o) wrt o.
340*o**3
What is the second derivative of -425*f**2 - 474*f - 767*f**2 - 115*f**2 - 360*f**2 + 1726*f wrt f?
-3334
Find the second derivative of 11*q**3 + 0*q**3 - 6*q - 3 + 3119812*q**2 + 4*q**3 - 3119789*q**2 wrt q.
90*q + 46
Let t(n) be the second derivative of n**6/15 - 743*n**3/6 - 242*n**2 + 1705*n. What is the derivative of t(f) wrt f?
8*f**3 - 743
Let z(f) be the first derivative of -38*f + 95/2*f**2 + 27. Find the first derivative of z(c) wrt c.
95
Suppose 2*d - 58 = 3*w, 3*w = d - 0*w - 32. Suppose 160 = 31*p - d*p. What is the third derivative of 680*l**3 - 39*l**6 - 680*l**3 + p*l**2 wrt l?
-4680*l**3
Differentiate -183 + 17*d + 1062 + 11*d**3 - 12*d**3 + 22*d**3 with respect to d.
63*d**2 + 17
Let c(t) = 2607*t**3 + 38*t**2 - 5111. Let p(y) = -521*y**3 - 7*y**2 + 1022. Let v(n) = -2*c(n) - 11*p(n). Find the third derivative of v(r) wrt r.
3102
Suppose 0 = -2*j + 109 + 35. Suppose -18*f = -14*f - j. Find the third derivative of -f*r**2 + 4 + 84*r**3 - 4 - 82*r**3 wrt r.
12
Suppose 4*c = -0*c - g + 8, -3*g - 9 = c. What is the third derivative of 9 - 77*y**6 + c + 794*y**2 + 3 - 792*y**2 wrt y?
-9240*y**3
Let a be 4/14 + 159/7. Let s(f) = 3*f**2 + 10*f + 6. Let k be s(-3). Find the third derivative of 16*w**6 - 3*w - 35*w**2 + a*w**2 + k*w wrt w.
1920*w**3
Suppose -22*l = -31*l + 126. Find the second derivative of 13*f + l*f**3 + 9137*f**2 - 9137*f**2 wrt f.
84*f
What is the derivative of -1619 + 1165354*l**2 - 1165354*l**2 - 548*l**4 wrt l?
-2192*l**3
Let f(t) = 234*t**3 - 12*t**2 - 123*t + 5. Let a(h) = -235*h**3 + 10*h**2 + 121*h - 4. Let o(v) = 6*a(v) + 5*f(v). Find the second derivative of o(l) wrt l.
-1440*l
Let c = -2184 - -2186. Let s(y) be the first derivative of 14 + 9*y + 21/2*y**c. What is the derivative of s(x) wrt x?
21
Let r(c) be the first derivative of 138/5*c**5 + 0*c**4 + 102*c + 0*c**2 + 10 + 0*c**3. What is the first derivative of r(z) wrt z?
552*z**3
Let i be (-12)/30 + (-17)/(-5). Suppose 3*b = -4*n + 5*b + 50, 35 = i*n - 2*b. What is the second derivative of -n*p**4 + 5*p + 32*p**4 - 6*p wrt p?
204*p**2
Let x(y) = 111*y**3 + 15*y**2 + 21*y - 11. Let l(t) = 112*t**3 + 17*t**2 + 22*t - 12. Let g(k) = 6*l(k) - 7*x(k). Find the second derivative of g(a) wrt a.
-630*a - 6
Suppose 37 = -12*a + 253. Suppose -5*l + 2*v = 4*v - 31, 23 = 3*l - v. Find the first derivative of -l*j**2 - 8 - a - 5*j**2 wrt j.
-24*j
Suppose -8*n + 127 = -49. Find the first derivative of 4*x**4 + n*x**3 + 19*x**3 - 107 - 47*x**3 wrt x.
16*x**3 - 18*x**2
Find the third derivative of -3*g**6 + 477*g**4 - 147*g**4 - 168*g**4 + 396*g**4 - 505*g**2 - 602*g**2 wrt g.
-360*g**3 + 13392*g
Let z(o) = 2712*o**2 - 3298*o. Let s(a) = 1355*a**2 - 1649*a. Let i(c) = 11*s(c) - 6*z(c). What is the second derivative of i(j) wrt j?
-2734
Suppose -2*x + 46 = 3*d, 4*d - 5*d = -5*x - 21. Let c be (-2)/8 - 66/(-8). What is the second derivative of -d*v - 3 + 11 - c + 5*v**2 wrt v?
10
Let y be (6/(-27))/(12/(-108)). Let z(r) be the second derivative of 3*r**2 - 3*r + 19*r**2 - 5*r**3 + 33*r + 0*r**y. What is the derivative of z(u) wrt u?
-30
What is the first derivative of 66*r**3 - 2728*r**2 - 5827 + 2726*r**2 - r - 4*r**3 wrt r?
186*r**2 - 4*r - 1
Suppose 0 = 3*k, -3*p - 2*k = -6*k - 45. Suppose -p*v + 1525 = -10*v. Find the third derivative of 2*f**2 - v*f**3 + 320*f**3 + 4*f**2 wrt f.
90
Suppose 2*u = -2*l + 6, -15*l = -19*l - u + 9. Find the third derivative of 242*z**l + 61*z**3 - 12*z**3 - 15*z**2 + 184*z**2 - 73*z**2 + 2*z**4 wrt z.
48*z + 294
Suppose 0 = -v - 5*i + 30, -4*v - 25*i + 35 = -22*i. What is the third derivative of 75*p**3 - 18*p**3 - 23*p**3 + 6 - 4*p**v + 1 - 5*p**2 - 13*p**3 wrt p?
-240*p**2 + 126
Differentiate 10350 - 251*g + 65*g**2 - 131*g**2 + 268*g - 117*g**2 with respect to g.
-366*g + 17
Find the third derivative of -971*j**2 + 589 - 15605*j**4 + 715*j**2 + 252*j**2 wrt j.
-374520*j
What is the third derivative of 2*d**4 + 12355392 + 4089*d**2 - 460*d**2 - 12355392 + 65*d**3 + 14*d**5 wrt d?
840*d**2 + 48*d + 390
Suppose q + 55 = 2*d, -q = -d - 2*q + 23. What is the third derivative of 23 - 3*b**2 - 3*b**2 + 85*b**3 + b**2 - d wrt b?
510
Let y(z) be the first derivative of 59*z**4/4 + 2*z**3/3 + 406*z - 1008. What is the derivative of y(b) wrt b?
177*b**2 + 4*b
Let g be -2 + -3 - -5*12/(-15). Let q = 13 + g. What is the second derivative of -21*n**4 + q*n**4 + 11*n*