b(c)).
-7070*c**2
Let b(t) be the third derivative of -t**5/20 + 75*t**2. Let s(q) = -7*q + 1. Let h(l) = 3*l. Let r(u) = -5*h(u) - s(u). Calculate r(b(j)).
24*j**2 - 1
Let w(u) = u + 16. Let f be w(-5). Let g(s) = f*s - 35*s + 10*s + 11*s. Let h(a) = -93*a**2. What is g(h(o))?
279*o**2
Let b(g) be the third derivative of 347*g**5/20 - g**4/8 + g**3/6 + 2754*g**2. Let w(y) = y. What is b(w(l))?
1041*l**2 - 3*l + 1
Let s(g) = -9*g. Let i(v) = 8*v. Let x(t) = -7*i(t) - 6*s(t). Let o(d) be the first derivative of 0*d + 6 + 0*d**2 + 32/3*d**3. Determine o(x(q)).
128*q**2
Let o(h) = 2*h**2. Let l(n) be the second derivative of -101*n**4/24 + 119*n**2/2 - 2*n. Let k(x) be the first derivative of l(x). What is k(o(m))?
-202*m**2
Let s(z) = -31685*z. Let t(a) = 685*a**2. What is s(t(c))?
-21704225*c**2
Let k(i) be the second derivative of i**3/3 - 1008*i. Let d(w) = 12*w**2 - 24*w. Determine k(d(h)).
24*h**2 - 48*h
Let k(v) = -v**2 - 4*v + 7. Let z be k(-5). Suppose -28 = 190*m - 126*m - 284. Let h(q) = 2*q**2 + m*q**2 - q**z. Let o(u) = -u**2. Determine h(o(t)).
5*t**4
Let w(z) = -z. Let v(m) = -12*m**2 - 5. Let j = 360 + -346. Suppose u + 5 = -0*u. Let i(t) = -36*t**2 - 14. Let b(x) = j*v(x) + u*i(x). What is b(w(c))?
12*c**2
Let o(x) = 32*x + 106. Let d(b) = -102206*b. Determine d(o(p)).
-3270592*p - 10833836
Let h(j) be the third derivative of j**4/6 + j**3/3 + 2*j**2 + 17. Let k(w) = -w**2 + 8 - 8. What is h(k(r))?
-4*r**2 + 2
Let t(k) = -385*k**2. Suppose -5*i + 132 = 3*o - 0*i, -15 = 5*i. Let v(h) = -12*h - 36*h + o*h. Give v(t(w)).
-385*w**2
Let m(w) = 1227132*w. Let g(k) = -70*k**2. Calculate g(m(b)).
-105409706179680*b**2
Let q(a) = 1194*a. Let j(d) = 104*d**2 - 2*d - 56. Give j(q(c)).
148266144*c**2 - 2388*c - 56
Let c(b) = -15*b**2 + 0*b**2 - 3*b**2 - 12*b**2. Let u(k) = -k**2 - k - 5. Let z(a) = 6*a**2 + 9*a + 45. Let i(q) = 9*u(q) + z(q). Determine i(c(j)).
-2700*j**4
Let q(z) = 8777*z + 399. Let h(s) = -102682122*s - 4667768. Let r(x) = 3*h(x) + 35096*q(x). Let l(u) = u. Calculate r(l(w)).
-8774*w
Let g(b) be the first derivative of 0*b + 3/2*b**2 - 12. Let r(z) = 32*z. Give r(g(m)).
96*m
Let q(d) be the third derivative of -13*d**5/30 - 4*d**2 + 31*d. Let z(x) = 35*x. Calculate z(q(m)).
-910*m**2
Let c(u) = -6*u**2. Let s(q) = 5*q - 2. Let g be s(1). Suppose 4*f - 6 = g*f. Let y(x) = 2*x**2 - 12 + 6 + f. What is c(y(m))?
-24*m**4
Let x(p) = 11*p**2. Let r(f) = 10414 - 10414 - 293*f. Give r(x(w)).
-3223*w**2
Let k(g) = -10*g**2 + 55767*g + 2. Let u(z) = -5*z. Give u(k(d)).
50*d**2 - 278835*d - 10
Let l(w) = 2*w. Let u(c) = 10*c**2 + 1078*c + 61. Calculate l(u(r)).
20*r**2 + 2156*r + 122
Let g(v) be the first derivative of v**5/15 - v**2 + 105*v + 175. Let m(x) be the second derivative of g(x). Let i(z) = 40*z**2. Calculate m(i(y)).
6400*y**4
Let s(p) = 5521059*p. Let m(z) = -2*z. Determine m(s(n)).
-11042118*n
Let w(u) be the first derivative of -15/2*u**2 + 0*u + 169. Let c(x) = x - 1. Let g(p) = -3. Let o(d) = -3*c(d) + g(d). What is w(o(s))?
45*s
Let b(h) = -41 + 41 - 23*h. Let y(n) = 120*n**2 + 65*n - 130. Let m(p) = -11*p**2 - 6*p + 12. Let w(f) = 65*m(f) + 6*y(f). Give b(w(d)).
-115*d**2
Let h(o) = 5*o**2 + 3*o. Let l(z) = -12*z**2 + 7*z - 14. Let k(y) = -7*y**2 - 11 - 5*y**2 - 8*y + 12*y + 5*y**2 + 3. Let a(n) = -7*k(n) + 4*l(n). Give a(h(q)).
25*q**4 + 30*q**3 + 9*q**2
Let k(g) = 3*g. Let p(s) be the third derivative of s**5/120 + 11*s**4/24 - 25*s**3/6 - 45*s**2. Let q(n) be the first derivative of p(n). Calculate k(q(j)).
3*j + 33
Let u(c) = -16*c**2. Let t(i) = 1315677*i. What is u(t(h))?
-27696095493264*h**2
Let q(w) = -2*w**2 - 5*w - 3593. Let y(b) = 3*b. Give y(q(k)).
-6*k**2 - 15*k - 10779
Let w(h) = -2*h**2 - 19*h - 23. Let n be w(-8). Let u(r) = 17. Let y(i) = -i - 1. Let g(x) = n*u(x) + 17*y(x). Let q(b) = 2*b**2. Calculate g(q(t)).
-34*t**2
Let x(m) = -2*m + 83. Let y(q) = 44*q + 55. Calculate y(x(g)).
-88*g + 3707
Let s(x) = -2*x + 0*x + 2*x + 2*x. Let t(o) = -10*o + 44 - 86 + 42. What is t(s(y))?
-20*y
Let v(r) = 6*r. Let t(g) = -5750*g + 75. What is t(v(m))?
-34500*m + 75
Let d(t) = 3432*t**2 - 117. Let p(g) = -343*g**2 + 12. Let z(s) = 4*d(s) + 39*p(s). Let i(m) = 145 + 2*m**2 - m**2 - 145. What is i(z(k))?
123201*k**4
Let p(z) be the first derivative of 13/3*z**3 + 0*z**2 - 9 + 0*z. Let a(w) = -w + 1. Let m(d) = -d**2 + d - 1. Let g(x) = -2*a(x) - 2*m(x). Determine g(p(j)).
338*j**4
Let f(h) = 3*h. Let g(p) = -4*p. Let w = 44 - 39. Let j(k) = -w*k + 13*k - 10*k. Let d(z) = 2*g(z) - 6*j(z). What is d(f(a))?
12*a
Let a(w) = -2016*w**2 - 2017*w**2 + 4032*w**2. Let p(x) = -x**3 + 13*x**2 + x + 2. Let b be p(13). Let v(d) = b*d + 18*d + 7*d - 7*d. Give v(a(i)).
-33*i**2
Let z(d) = 17*d**2. Let x(v) = 92*v + 219*v - 298*v. Calculate x(z(y)).
221*y**2
Let q(i) be the first derivative of -1747*i**3/3 + 2361. Let l(n) = -2*n**2. What is q(l(t))?
-6988*t**4
Let r(n) = n - 2*n - 7 + 0*n + 3*n. Let o(u) = 108*u + 109*u - 329*u + 109*u. Determine o(r(g)).
-6*g + 21
Let k(v) = 1251*v. Let g(t) = 1083*t - 2158*t + 1075*t + 3*t**2. Determine g(k(a)).
4695003*a**2
Let w(m) = -336520*m**2 + 4*m + 2. Let v(j) = -183*j. Calculate w(v(c)).
-11269718280*c**2 - 732*c + 2
Let h(m) be the third derivative of -m**5/24 + m**4/12 - 3*m**3/2 + 89*m**2 + m. Let a(z) be the first derivative of h(z). Let l(x) = 3*x. Give a(l(y)).
-15*y + 2
Let d(c) = -70*c - 4. Let p(s) = 69*s + 5. Let k(b) = 5*d(b) + 4*p(b). Let t(y) be the third derivative of -y**5/30 - 187*y**2. Calculate k(t(l)).
148*l**2
Let w(b) = 2*b**2. Let z(j) be the second derivative of 179*j**3/6 + 299*j. What is w(z(q))?
64082*q**2
Let b(s) = -s - 471. Let f(a) = 11*a**2 + 24*a - 6. Let z(g) = 20*g**2 + 44*g - 11. Let u(t) = 11*f(t) - 6*z(t). What is b(u(p))?
-p**2 - 471
Let g(p) = p. Let z(c) = -c**2 - 24*c. Give g(z(a)).
-a**2 - 24*a
Let q(a) = 2*a. Let n(g) = -107*g - 4. Let v(c) = -5. Let d(z) = -n(z) + v(z). Determine q(d(k)).
214*k - 2
Let t(r) = 3397*r + 8. Let s(w) = -25*w**2. Give t(s(o)).
-84925*o**2 + 8
Let a(s) = s**2. Let j(c) = 2 + 674*c - 3 - 669*c - 3531*c. Determine a(j(q)).
12432676*q**2 + 7052*q + 1
Let d(z) be the second derivative of 5 + 13/12*z**4 + 0*z**3 + 0*z**2 + 9*z. Let x(i) = -4*i**2. Give d(x(v)).
208*v**4
Let f(n) = 29*n. Let k = -425 + 427. Let h(m) = -m**2 - m**2 + 4*m**2 + m**k. What is f(h(v))?
87*v**2
Let q(h) = -28*h**2 + 2918*h. Let n(x) = -21*x - 1. Determine n(q(o)).
588*o**2 - 61278*o - 1
Let f(y) = 10 - 2*y - 10 + 15*y. Let t(d) = -14*d - 60. Let u(h) = -56*h - 220. Let v(o) = -11*t(o) + 3*u(o). What is f(v(n))?
-182*n
Let r(y) = 102*y. Let d(g) = -9 + 65*g**2 + 59*g**2 - 204*g**2 + 69*g**2 - 9*g. Let k(p) = 5*p**2 + 4*p + 4. Let t(m) = -4*d(m) - 9*k(m). Calculate t(r(a)).
-10404*a**2
Let j(s) be the first derivative of -7/2*s**2 - 2 + 0*s. Let u(q) = 12*q**2. Give u(j(v)).
588*v**2
Suppose -72768 = -60*s - 23388. Let m(n) = -s*n + n**2 + 823*n. Let c(j) = 71*j. What is c(m(b))?
71*b**2
Let v(a) = 2*a**2 + a - 5. Let y be (1/3 - 0)/(51/612). Let q(s) = s**2 - 4. Let r(f) = y*v(f) - 5*q(f). Let z(n) = -8*n. What is z(r(l))?
-24*l**2 - 32*l
Let o = 7877 + -7882. Suppose -u - u + 4 = 0. Let x(s) = 6*s + 2. Let n(q) = 11*q + 5. Let g(v) = o*x(v) + u*n(v). Let r(c) = 2*c. Calculate r(g(f)).
-16*f
Let m(q) = 76 - 819*q + 39 + 815*q. Let f(p) = p. Calculate m(f(h)).
-4*h + 115
Let d(l) = -2*l**2. Let z(n) = -6968096*n. Give d(z(k)).
-97108723730432*k**2
Let m(k) = -23*k**2. Let t(v) = 5175214*v**2. Calculate t(m(h)).
2737688206*h**4
Let c(k) be the second derivative of 3*k**3/2 + 222*k - 3. Let x(s) = -67*s**2. Calculate x(c(y)).
-5427*y**2
Let h(w) = 113863286*w**2. Let s(j) = 2*j**2. Calculate s(h(a)).
25929695797435592*a**4
Let r(n) = -6*n. Let q(h) be the first derivative of -92*h**3/3 - 839. Calculate q(r(k)).
-3312*k**2
Let k(n) = -2*n**2 + 23. Let x = -104 + 120. Let z(j) = -2*j**2 + x*j + 21*j - 37*j. Determine z(k(u)).
-8*u**4 + 184*u**2 - 1058
Suppose 287 - 283 = 2*y. Let a(i) = i**2 + 4*i**2 + 3*i**2 - 7*i**y. Let r(z) = -24*z. Determine a(r(t)).
576*t**2
Let v(m) = 29*m - 57*m - 105*m. Let i(w) be the first derivative of -2*w**3/3 + 2. Give v(i(t)).
266*t**2
Let n(d) = -6*d + d + 2*d + 2*d. Let u(b) be the third derivative of 0*b 