0326*z - 2
Let s(x) be the third derivative of 137*x**9/168 + x**8/112 + x**5/10 + 9*x**4/8 + 887*x**2. Find the third derivative of s(i) wrt i.
49320*i**3 + 180*i**2
Find the third derivative of -8 - 2*s**2 + 11 + 44*s - 1523*s**6 - 993*s**6 wrt s.
-301920*s**3
Suppose 27 = -2*p + 29*p. Let g(b) = 4*b**3 - 10*b**2 + b - 21. Let l(d) = d**2 - d - 1. Let f(y) = p*g(y) + 3*l(y). Find the second derivative of f(c) wrt c.
24*c - 14
Suppose 22*a - 18*a = 20. Suppose a*y + 2*m = -2*m + 18, 12 = 3*y + 2*m. What is the second derivative of -4*n + y*n - 27*n**2 + 21*n**2 wrt n?
-12
Let k(j) = -j**2 - 9*j - 7. Let x be k(-2). What is the third derivative of -x*i**3 - 7414*i + 7414*i + 4*i**4 - 127*i**2 wrt i?
96*i - 42
Let h(f) be the third derivative of f**9/252 - 55*f**8/48 + 443*f**5/15 - 33*f**2 - 16*f. Find the third derivative of h(w) wrt w.
240*w**3 - 23100*w**2
Let b(o) = -o**3 - 5*o**2 - 8*o - 1. Let q be b(-4). Suppose n = -q + 54. What is the third derivative of 5*t**2 - 4*t**2 - n*t**2 + 12*t**5 wrt t?
720*t**2
Let c = 116 - 82. Suppose 5*j = 4*m + 26 + c, 60 = 5*j - 3*m. What is the third derivative of a**4 - 7*a**4 - j*a**2 - 14*a**4 - 3*a**4 wrt a?
-552*a
Let x(u) = 6*u**2 - 2*u. Let j be x(1). Suppose -j*l - 1 = -21. What is the second derivative of -l*o**3 - o + 6*o + o**3 - o wrt o?
-24*o
Let m(r) be the second derivative of -4*r**6/15 - r**3/2 - 539*r**2/2 + 956*r. What is the derivative of m(g) wrt g?
-32*g**3 - 3
Let n = -86 + 22. Let v be (-96)/n + 15/2. What is the third derivative of 4 + v*s**6 - 47*s**2 - 4 - 6*s**6 wrt s?
360*s**3
Let g be (8/6)/((-6)/(-36)). Find the third derivative of 30*r**6 - 8*r**6 - 11*r**6 + g*r**5 - 12*r**6 - 2*r + 2*r**2 wrt r.
-120*r**3 + 480*r**2
Differentiate -2312 + 1232 + 649*g**4 - 1949 - 142*g**4 + 6*g**2 wrt g.
2028*g**3 + 12*g
Let m(l) be the third derivative of 0*l**4 - 1/30*l**5 + 59/6*l**3 + 7 + 12/35*l**7 + 0*l + 5*l**2 + 0*l**6. What is the third derivative of m(g) wrt g?
1728*g
Let m(j) be the second derivative of -4*j**6/15 + 7*j**5/20 - 5*j**3/6 + 5481*j**2/2 - 2901*j. Differentiate m(t) with respect to t.
-32*t**3 + 21*t**2 - 5
What is the second derivative of -6 - 28 - 21*s**2 + 30*s**3 + 35 - 1 + 2228*s wrt s?
180*s - 42
Suppose 7*m = -m + 384. Let p = m + -45. What is the second derivative of 31*d - 18*d - 28*d - p*d**5 wrt d?
-60*d**3
Suppose 26*t - t = 1425. What is the second derivative of -5*l**5 + 263*l + 17*l**5 - t*l wrt l?
240*l**3
Suppose 6*v - v = -0*v. Suppose -2*g = -v*g - 5*r + 11, -4*g = r - 11. Find the first derivative of 20*x**4 + 0*x**4 - g + 1 - 1 wrt x.
80*x**3
Suppose 0 = 21*q + 34 - 97. What is the third derivative of -13 + 19*i**3 - i**4 + 0*i**2 - q + 2*i**2 - i**4 wrt i?
-48*i + 114
What is the third derivative of 3*m**3 + 1657*m**6 - 431*m**6 + 943*m**2 + 1070*m**2 - m**3 - 2177*m**2 wrt m?
147120*m**3 + 12
Let u(y) be the first derivative of 2239*y**5/5 + 2313*y + 3357. Find the first derivative of u(f) wrt f.
8956*f**3
Let x(m) be the first derivative of -766*m**3/3 - 65*m**2 - 7*m - 207. Find the second derivative of x(u) wrt u.
-1532
Let z be (-10)/(-55) + (-295)/(-11) + -4. Find the second derivative of 2 + 36*u**2 - z*u**3 + 21*u**3 + 1 + u + 5 wrt u.
-12*u + 72
Find the second derivative of -1102*w**2 + 82158*w**4 + 1518*w - 6398*w - 316*w**2 - 82154*w**4 wrt w.
48*w**2 - 2836
Let h(t) = t**3 - 6*t**2 + 8*t + 2. Let y = 99 - 95. Let r be h(y). Find the first derivative of 76*q**2 - 37 + 72*q**2 - 138*q**r wrt q.
20*q
Suppose -5*m = z - 17, 0 = m - 5*z + 6 + 1. What is the third derivative of -88*q**m + 83*q**2 - 215*q**2 - 11*q**2 wrt q?
-528
Let y(c) be the first derivative of -429*c**3 + c**2/2 - 3166*c + 279. Find the first derivative of y(o) wrt o.
-2574*o + 1
Suppose j - 2 = -1. Suppose k - 5*u - j = 4*k, k = 3*u + 9. What is the second derivative of -20 + 20 - 25*i - 8*i**3 - 8*i**k wrt i?
-96*i
What is the second derivative of -681*d**4 - 3274*d + 2150*d**2 - 3432*d**2 + 677*d**4 wrt d?
-48*d**2 - 2564
Let i(z) be the first derivative of 4835*z**4/2 - z**2 + 6662*z - 6714. Differentiate i(l) with respect to l.
29010*l**2 - 2
What is the second derivative of -1352*k + 607*k**2 - 319*k**2 + 810*k**2 + 173*k**2 wrt k?
2542
Let g = 206 + -204. Differentiate -8 + 6 + 51 + 24 - 49*n**g wrt n.
-98*n
What is the third derivative of 0*i**4 - 2*i**6 + 7 + 12*i**2 + 10*i**3 - 244890*i + 28*i**4 + 244890*i wrt i?
-240*i**3 + 672*i + 60
Let k(u) = 2126*u**3 + 340*u**2 + 3. Let r(g) = 8516*g**3 + 1360*g**2 + 13. Let f(l) = -9*k(l) + 2*r(l). Find the third derivative of f(s) wrt s.
-12612
Let k(b) be the second derivative of -371*b**4/4 - b**3/6 + 1884*b**2 + 6*b + 145. Differentiate k(m) with respect to m.
-2226*m - 1
Let a(s) be the third derivative of 0 + 197*s**2 + 70/3*s**3 - 83/210*s**7 + 0*s**5 + 0*s**4 + 0*s**6 + 0*s. What is the derivative of a(r) wrt r?
-332*r**3
Let s(l) = l**2 + 16*l - 71. Let x be s(7). What is the second derivative of 489*m**4 - 489*m**4 - 53*m**5 + x*m wrt m?
-1060*m**3
Differentiate 2590 - 1750 + 1904 - 1093*g with respect to g.
-1093
Let t(r) be the third derivative of -331*r**6/10 + 1580*r**3/3 + 86*r**2 + 26. What is the first derivative of t(y) wrt y?
-11916*y**2
Let b(c) be the third derivative of -29*c**6/40 - 5*c**4/12 - 795*c**3 + 4*c**2 + 23*c + 9. Differentiate b(k) with respect to k.
-261*k**2 - 10
Let m = 96 - 93. Find the second derivative of -152*q**3 + 46*q**m + 37*q**3 - 18*q wrt q.
-414*q
Let s(z) be the third derivative of 211*z**7/105 - 113*z**4/12 - 2*z**3/3 - 2*z**2 + 649. What is the second derivative of s(r) wrt r?
5064*r**2
Let x(z) be the first derivative of -z**5 + 52/3*z**3 + 0*z + 1/2*z**2 - 55 + 1/2*z**6 + 0*z**4. Find the third derivative of x(l) wrt l.
180*l**2 - 120*l
Let v(q) be the first derivative of 1183*q**6/3 + 1454*q**3/3 + 1945. Find the third derivative of v(d) wrt d.
141960*d**2
Differentiate -25113 + k + 24114 - k - 695*k**2 wrt k.
-1390*k
Let i = -13044 + 13047. Let b(t) be the first derivative of 13/2*t**2 + 29/3*t**i + 0*t + 16. What is the second derivative of b(z) wrt z?
58
Let v(p) be the third derivative of 163*p**5/12 + 1115*p**3/3 - 2138*p**2. Find the first derivative of v(w) wrt w.
1630*w
Let r(s) be the third derivative of 617*s**4/24 + 80*s**3 - 808*s**2. Differentiate r(h) wrt h.
617
Let a(t) be the third derivative of -19/2*t**3 + t**2 - t - 1/6*t**4 + 0. Find the first derivative of a(z) wrt z.
-4
Let c(p) = p**2 + 16*p - 12. Let u be c(-18). Let m = 26 - u. Differentiate 371*q**2 + 15 - 371*q**m - 16*q**3 with respect to q.
-48*q**2
Suppose 0 = -3*m - 6, -i + 5*m = -5*i + 150. Suppose 0*d + 42 = 6*d. Find the second derivative of 6*v - i*v**2 - 3*v + d*v wrt v.
-80
What is the third derivative of 1798*j**2 + 23*j**6 + 320*j**4 + 5237*j**2 + j**3 - 310*j**4 wrt j?
2760*j**3 + 240*j + 6
Let w(z) be the second derivative of 261*z**8/8 - z**4/12 + 113*z**2 + 9*z - 107. What is the third derivative of w(s) wrt s?
219240*s**3
Let n = -197 + 236. What is the first derivative of -n - 62*f**2 - 446*f + 446*f wrt f?
-124*f
Let k(i) = 71*i - 13. Let f be k(2). Find the third derivative of -14*u**3 - 13 + f*u**2 + 121*u**2 - 248*u**2 wrt u.
-84
What is the second derivative of 55*c + 321*c + 236*c**2 + 119*c**2 + 33*c**2 - 19*c wrt c?
776
Suppose -18*i = -14*i - 8. Suppose 0 = 4*u - 2*y - 20, i*y + 9 = u + 4. What is the second derivative of -3*a + 5*a**4 + 13*a - 5*a**4 - 8*a**u wrt a?
-160*a**3
Find the first derivative of 591*v - 1370*v + 38*v - 243*v + 1101 wrt v.
-984
Let g(p) be the third derivative of -23*p**6/4 - 1271*p**4/6 - 3932*p**2. What is the second derivative of g(h) wrt h?
-4140*h
What is the third derivative of -1196*p**2 + 67*p**2 - 470*p**3 - 595*p**2 - 160*p**3 - 219*p**3 wrt p?
-5094
Let q(m) = -2*m + 2. Let s be q(-4). Suppose -2*p = -3*w + 12, 0 = 4*w - 3*w - 5*p - 4. Find the second derivative of 15*j + 7*j**4 - s*j + w*j**4 wrt j.
132*j**2
Let w(m) be the second derivative of 0*m**3 + 119*m**2 - 31/12*m**4 + 0 - 91*m. What is the derivative of w(v) wrt v?
-62*v
Let w(k) = -k**3 + 9*k**2 - 7*k - 5. Let o be w(8). Let b be -5 - (-6 - 1) - -1. Find the second derivative of -7*l**3 + 15*l**3 + b*l + 14*l**o wrt l.
132*l
Let b be (-3*(-2)/3)/(18/27). 