x - 100. Let p(g) = -110*g - 101. Let a = 150 + -153. Let n(y) = a*p(y) + 4*m(y). Differentiate n(f) wrt f.
-118
Let x(r) be the first derivative of 9*r**5/2 + 3*r**4/2 - 3*r - 106. Let k(t) be the first derivative of x(t). Find the third derivative of k(w) wrt w.
540
Let t = 16 + 16. What is the third derivative of -7*q + 10*q + t*q**3 + 5*q - 26*q**3 - 7*q**2 wrt q?
36
Let c be -4 - (-1 + 2 - -2). Let p be c/(-28) + (-23)/(-4). Find the third derivative of -13*j**p + j**6 - 5*j**2 + 0*j**2 + 0*j**2 wrt j.
-1440*j**3
Let o(b) be the third derivative of -15*b**8/56 - b**7/105 - b**6/30 + b**5/30 - 611*b**4/24 + b**3/2 - 5180*b**2. What is the third derivative of o(z) wrt z?
-5400*z**2 - 48*z - 24
Let d = -33 - -45. What is the second derivative of -x - 3*x**2 - 14 + 23*x**3 + 40 - d + 3*x - 16 wrt x?
138*x - 6
What is the second derivative of 2 + 986*z**4 - 1451*z - 776*z**4 - 4 - 2332*z**4 wrt z?
-25464*z**2
Let o(v) be the third derivative of -2191*v**6/60 + 718*v**3 - 141*v**2 + 2*v - 2. Differentiate o(w) wrt w.
-13146*w**2
Let v = -179 - -184. What is the second derivative of -2*y**4 - 7*y**4 - 4*y**4 + 12*y**4 - v*y**2 + 1 - 70*y wrt y?
-12*y**2 - 10
Let g(a) be the third derivative of a**7/105 + 23*a**4/8 - 16*a**3 + 1530*a**2. What is the derivative of g(q) wrt q?
8*q**3 + 69
Let u = 61 - 61. Suppose -5*a + a + 8 = u. Differentiate 31*j**4 + a + 6 + 13 wrt j.
124*j**3
Let c be (-9)/18 - (-10)/4. What is the third derivative of 68 + 60*l**c - 138 + 70 + 36*l**3 wrt l?
216
Let f(m) = 4054*m**3 + 15*m**2 + 3897. Let a(p) = 4061*p**3 + 18*p**2 + 3898. Let q(t) = -5*a(t) + 6*f(t). What is the first derivative of q(s) wrt s?
12057*s**2
Let o be 208/7 + 20/70. Let x be 2/(-15) - (3 + (-214)/o). Differentiate -5 - 14*y**4 + 45*y**x - 15*y**4 wrt y.
64*y**3
Let y(w) be the second derivative of 3121*w**5/20 - 1841*w**4/6 - 2*w - 153. What is the third derivative of y(n) wrt n?
18726
Find the second derivative of 165*p**4 + p**2 - 3*p**3 - 728*p - 15652 - 1477*p + 15652 wrt p.
1980*p**2 - 18*p + 2
Let k(z) = z**3 - 11*z**2 + 19*z - 9. Let r be k(9). What is the second derivative of -40*a**4 + 196*a - 2 - 159*a + r wrt a?
-480*a**2
Let a(r) be the second derivative of -59/30*r**6 - 18*r + 2 + 0*r**4 + 0*r**5 - 7/2*r**2 + 2/3*r**3. What is the second derivative of a(h) wrt h?
-708*h**2
Let q(p) = 4*p + 116. Let x be q(-28). Find the third derivative of 8*l**x - 9*l**4 - 6*l**3 + 0*l**4 - 81*l**2 + 0*l**3 wrt l.
-24*l - 36
Let w = 205 + -200. Find the second derivative of 23191*z - 43*z**5 + 2 + 321*z**w - 23201*z wrt z.
5560*z**3
Let x(v) be the first derivative of 296*v**6 - v**2 - v - 10168. Find the second derivative of x(k) wrt k.
35520*k**3
Let n be 0 + (-4 + 3)*-3. Find the second derivative of -34*o - 64*o**n - 37*o - 9*o**3 wrt o.
-438*o
Let z(y) = 708*y**3 - 74*y**2 + 3*y - 33. Let d(t) = -707*t**3 + 75*t**2 - 4*t + 44. Let u(a) = 3*d(a) + 4*z(a). What is the third derivative of u(n) wrt n?
4266
Let a(b) = -6345*b + 7173. Let n(i) = -3210*i + 3587. Let l(k) = -3*a(k) + 7*n(k). What is the first derivative of l(t) wrt t?
-3435
Suppose -25 = -5*c - 3*t, -4*c + 3*c + 5 = 3*t. What is the third derivative of 171*n**2 - 99*n**4 - 66*n**2 + 53*n**2 + 2*n**c wrt n?
120*n**2 - 2376*n
Let q(s) = 8*s**2 + 3*s + 6. Let p(c) = -958*c**2 - 6*c + 4118. Let j(n) = 3*p(n) + 6*q(n). What is the derivative of j(t) wrt t?
-5652*t
Suppose 3*c = 2*c, 28 = 4*y - c. Let m(w) be the first derivative of -2*w**3 + 1 + 2 + 7 - y*w + 0. Differentiate m(z) wrt z.
-12*z
Let i(l) be the first derivative of 0*l**2 + 2/5*l**5 - 2*l - 43/6*l**6 + 18 + 0*l**4 - 3*l**3. What is the third derivative of i(q) wrt q?
-2580*q**2 + 48*q
Let q(v) be the first derivative of 1214*v**2 - 523*v + 2008. What is the first derivative of q(n) wrt n?
2428
Suppose 4*q + 3*g = 39, -3*q - 2*g = -0*q - 29. Find the third derivative of 258*z**2 + q*z**5 - 157*z**2 - 223*z**2 + 36*z**5 wrt z.
2700*z**2
Let j(i) be the first derivative of -i**8/240 + i**6/72 + 55*i**4/12 + 15*i**3 + 2*i + 174. Let a(r) be the third derivative of j(r). Differentiate a(d) wrt d.
-28*d**3 + 10*d
Let t(i) = -i**6 - i**4 - i**2 + 3*i + 1. Let w(q) = 7016*q**6 - 2*q**4 - q**2 + 43*q. Let y(f) = -2*t(f) + w(f). Find the third derivative of y(p) wrt p.
842160*p**3
Let u(w) = 2563*w**2 - 24*w - 19762. Let v(f) = 1709*f**2 - 15*f - 13174. Let p(x) = -5*u(x) + 8*v(x). Find the first derivative of p(d) wrt d.
1714*d
Let d(c) be the third derivative of -109/24*c**4 + 0*c**6 + 0 + 0*c + 4/7*c**7 + 0*c**3 + 67*c**2 + 0*c**5. What is the second derivative of d(h) wrt h?
1440*h**2
Let a(t) = 49*t**2 + 52*t - 3. Let u(x) = 171*x**2 - 52*x - 128*x**2 - 94*x**2 + 2. Let w(z) = -2*a(z) - 3*u(z). What is the second derivative of w(i) wrt i?
110
Let t(s) = s**2 + 34*s + 42. Let x be t(-34). Differentiate 142*a**4 + x - 78*a**4 - 11 wrt a.
256*a**3
Let k = -6535 - -392111/60. Let u(v) be the third derivative of 0 + 2*v**3 + 0*v**4 + 0*v - k*v**5 - 9*v**2. Find the first derivative of u(l) wrt l.
-22*l
Suppose 5*r - 3*z = -14, 9 = 7*z - 4*z. Let h be 4 + (1 + r)/5. What is the second derivative of -182*l + 19*l**4 + 167*l + 12*l**h wrt l?
372*l**2
Let x = -635 - -841. What is the second derivative of -1245*v + 20*v**4 + x*v**4 + 7 + 1242*v wrt v?
2712*v**2
What is the third derivative of -995*o - 992*o - 995*o - 1486*o**2 + 2982*o - 3068*o**3 wrt o?
-18408
Let q be (-36)/24 + 58/4. Let t = q + -6. What is the first derivative of -1 - 7 - 2 + 4*h**3 - t*h**3 wrt h?
-9*h**2
Let c be 27/(-2) + 2 - (-3)/(-6). Let a be (-4)/(c/5 - -2). What is the first derivative of -43*d**3 - 13 + 96*d**3 - a*d**3 wrt d?
129*d**2
Let t be (9 + (-4 - -1))/(2/43). Find the first derivative of t*n - 84 + 47 - 46 wrt n.
129
Let b(p) be the second derivative of -711*p**8/14 + p**7/42 - p**4/12 + 38*p**3/3 + 10835*p. What is the third derivative of b(f) wrt f?
-341280*f**3 + 60*f**2
What is the second derivative of -19*x**4 - 2395*x**5 - 5*x + 2451*x**5 + 6*x + 677 - x**3 wrt x?
1120*x**3 - 228*x**2 - 6*x
Find the first derivative of -1448*b - 526 + 778413*b**3 + 229*b - b**4 - 778413*b**3 wrt b.
-4*b**3 - 1219
Let n(u) = 350*u**2 + 4*u + 391. Let t(x) = 1748*x**2 + 21*x + 1954. Let b(c) = -11*n(c) + 2*t(c). What is the second derivative of b(r) wrt r?
-708
Let w(v) = v**2 - v + 2. Suppose 0 = 7*y - 9*y. Let k be w(y). Find the second derivative of -o**4 + o**4 + k*o - 8*o**4 + o**4 wrt o.
-84*o**2
Let i(a) be the first derivative of 103*a**4/12 + 56*a**3/3 + 186*a + 39. Let z(j) be the first derivative of i(j). What is the second derivative of z(d) wrt d?
206
Let v = -813 - -933. Find the first derivative of 118 - 22975*s**3 + 22975*s**3 + v*s**4 - 2*s**2 wrt s.
480*s**3 - 4*s
Let x be (21/56*-4)/((-3)/44). Let c = -11 + x. Find the first derivative of c*f - 7*f - 17 + 6*f wrt f.
10
Let n(h) = h**2 + 19*h + 50. Suppose 10*a + 160 = -0*a. Let w be n(a). Find the second derivative of -5*v**2 + 6*v**2 + w*v + 0*v**2 - 7*v**2 wrt v.
-12
Let u(o) be the first derivative of -23*o**4 + 56*o**2 - 1061. Find the second derivative of u(m) wrt m.
-552*m
Find the third derivative of 3*g - 878*g**2 + 26*g**6 + 24*g**6 + 3338*g**2 - 3*g wrt g.
6000*g**3
Let b(z) = -z**4 - z**3 + 4*z**2 - 2. Let d(y) = 3*y**4 + 248*y**3 - 35*y**2 + y + 34. Let n(i) = -6*b(i) - d(i). What is the third derivative of n(m) wrt m?
72*m - 1452
Find the second derivative of -426*b**2 - 214*b - 174*b**2 + 67*b**2 wrt b.
-1066
Let b(p) be the first derivative of -p**6/2 - 5*p**4 + p**3/3 + p**2/2 - 4422*p - 7651. Find the second derivative of b(c) wrt c.
-60*c**3 - 120*c + 2
Differentiate -1017 + 3*h**2 - 4*h**3 + 4*h**2 + 0*h**3 - 6*h**2 - 3*h**3 with respect to h.
-21*h**2 + 2*h
Suppose 0 = -3*b + t + 7, 29*b + 8 = 32*b - 2*t. Let i(s) be the second derivative of 9/2*s**b + 0 + s - 13/6*s**3. What is the derivative of i(k) wrt k?
-13
Let g(m) be the second derivative of m**4/12 + 2*m**2 - 17*m. Let w be g(0). What is the second derivative of -14*x**4 - 16*x - 4*x + 11*x**w wrt x?
-36*x**2
Let m(o) = -35*o + 115 - 61*o + 42*o. Let z(c) = -55*c + 115. Let j(l) = -6*m(l) + 5*z(l). What is the first derivative of j(y) wrt y?
49
Let y be (6/7)/(2/(-84)). Let w = -33 - y. What is the first derivative o