Let r(o) = -4*o**2 + 3180*o. Let m(j) = -834*j**2. Determine r(m(h)).
-2782224*h**4 - 2652120*h**2
Let w(l) = 613*l**2 - l - 29. Let t(r) = 296*r**2 - 14. Let o(x) = -29*t(x) + 14*w(x). Let c(a) be the third derivative of -a**4/12 + a**2. Give c(o(n)).
4*n**2 + 28*n
Let c(j) be the third derivative of -j**4/12 - j**2. Let g(z) be the third derivative of -z**5/10 + 11*z**3/3 + 5145*z**2. Determine g(c(p)).
-24*p**2 + 22
Let w(o) = -16*o. Let h(j) be the first derivative of -529*j**2/2 + 3141. What is w(h(y))?
8464*y
Let x(o) = 2*o**2. Let i(g) = g**2 + 5*g - 4. Let k be i(-6). Let s = 2031 - 2029. Let m(a) = a - 7*a - k + s. Calculate x(m(h)).
72*h**2
Let g(j) = -7*j. Let s(q) = 2*q**2 - 19566*q. Determine g(s(n)).
-14*n**2 + 136962*n
Let k(l) = -3*l**2 - 870 + 870. Let a(u) = 3*u**2 - 5*u - 17. Let d be a(11). Let c(t) = -585*t + 296*t + d*t. What is c(k(i))?
-6*i**2
Let k(l) = -175*l + 372*l - 197*l + l**2. Let c(w) be the second derivative of -29*w**3/2 + 4*w. Determine k(c(a)).
7569*a**2
Let p(c) = 2*c**2. Let b(k) = -15697183*k + 1. Determine b(p(w)).
-31394366*w**2 + 1
Let c(u) = u**2. Suppose 0 = 6*i - 17*i + 176. Let o(s) = -32*s - s + 2 + i*s. Determine c(o(k)).
289*k**2 - 68*k + 4
Let u(b) = 37*b - 13. Let h be u(4). Suppose -4*f - h = -s, s - 140 = -0*s + 5*f. Let m(p) = 115 - s - 3*p. Let a(j) = -6*j. Give a(m(l)).
18*l
Let z(j) = -4*j**2. Let a(i) = -8013 + 8013 + 466*i. Determine a(z(f)).
-1864*f**2
Let r(a) be the first derivative of -a**4/6 - 27*a - 164. Let i(b) be the first derivative of r(b). Let j(v) = 16*v - 10. Calculate j(i(t)).
-32*t**2 - 10
Let o(f) = 103*f**2 + 109*f**2 - 176*f**2. Let c(i) = 3*i**2 + 7. Determine c(o(t)).
3888*t**4 + 7
Let y(z) = z**2 + 31. Let r(k) = -44*k + 16. Let b(n) = -8*n + 4. Let w(h) = 4*b(h) - r(h). Give y(w(s)).
144*s**2 + 31
Let k(g) = 3 - g**2 - 3. Suppose 139*n = 146*n + 42. Let b(s) = 2*s + 1. Let r(w) = -23*w - 11. Let z(x) = n*r(x) - 66*b(x). Give k(z(y)).
-36*y**2
Let m(f) = 8*f**2 + 10. Let x(u) = 88*u**2 - 18*u - 1. What is x(m(d))?
5632*d**4 + 13936*d**2 + 8619
Let m(v) = -214*v. Let z(t) = 33*t + 138. Let c(o) = 2*o + 8. Let u(f) = -69*c(f) + 4*z(f). What is m(u(k))?
1284*k
Let p(c) = -c. Let x(b) = 56415214*b - 1. Determine x(p(u)).
-56415214*u - 1
Let b(l) be the first derivative of l**2/2 + 1336. Let o(q) = 15*q**2 + 65*q + 2. Determine o(b(d)).
15*d**2 + 65*d + 2
Let p(v) = 8*v. Let h(s) be the second derivative of 0*s**2 - 7*s + 6 - 1/6*s**3. Determine p(h(l)).
-8*l
Suppose -5*c + 29 = 4*f, 5*f + c - 41 = f. Suppose p = 18 - f. Let v(n) = -14*n + p*n + 5*n. Let s(w) = -w. Give v(s(i)).
2*i
Let f(g) be the third derivative of -7*g**4/24 - 914*g**2. Let p(l) = -3*l + 16. Give f(p(z)).
21*z - 112
Let q(z) = 271*z + 2. Let l(p) = -2706*p - 21. Let r(f) = 2*l(f) + 21*q(f). Let v(y) = -8*y**2. What is v(r(u))?
-622728*u**2
Let v(y) = -1582*y. Let i(b) = -125*b + 118. What is v(i(n))?
197750*n - 186676
Let j(f) = -695693*f. Let v(h) = -215*h**2. Determine v(j(q)).
-104057581303535*q**2
Let j(h) = -24020*h. Let u(i) = 36*i + 30. Let o(w) = 58*w + 48. Let b(v) = -5*o(v) + 8*u(v). Give b(j(f)).
48040*f
Let l(o) = -4*o. Let d(k) = -k - 10 + 2 + 13. Let q be d(3). Let y(w) = 13*w**2 - 12*w**q - 9*w**2. What is y(l(x))?
-128*x**2
Let q(r) be the second derivative of 109*r + 0*r**3 + 0 + 0*r**2 + 5/2*r**4. Let i(m) = -3*m. Calculate i(q(s)).
-90*s**2
Let f(v) = 4*v**2. Suppose -6*i + 5*p = -4*i - 9, -4*p + 2 = 3*i. Let s(g) = 19*g**2 - g**2 + 4*g**i + 5*g**2 - 3*g**2. Determine f(s(o)).
2304*o**4
Let y(m) be the first derivative of 29*m**6/360 + 10*m**3 + 26. Let s(b) be the third derivative of y(b). Let r(g) = -7*g + 10*g - g. Calculate r(s(a)).
58*a**2
Let f(p) = -5*p**2 - 2*p - 4. Let x(h) = h + 2. Let z(o) = f(o) + 2*x(o). Let m(t) = -33*t**2 + 2. What is z(m(s))?
-5445*s**4 + 660*s**2 - 20
Let j(i) = -3*i**2 - 2*i**2 + 6*i**2. Let o(x) = 44507 - 133530 + 44508 + 44514 - 5*x. Determine o(j(h)).
-5*h**2 - 1
Let f(b) = 1840577*b + 2. Let v(i) = -2*i. What is f(v(x))?
-3681154*x + 2
Let h(x) = 101*x + 11. Let k(f) = -1194*f - 132. Let c(o) = 12*h(o) + k(o). Let r(p) = -p**2 + p**2 + 2*p**2. Calculate r(c(t)).
648*t**2
Let t(y) = 12*y. Let a(q) = -175 + 353 + 13*q - 178. Give a(t(b)).
156*b
Let d(c) = -4520665*c. Let j(m) = m**2. Calculate d(j(q)).
-4520665*q**2
Let c(s) = 348508*s**2. Let b(d) = -12*d. What is c(b(a))?
50185152*a**2
Let t(o) = 7*o**2 + 318*o. Let d(b) = 20*b**2 + 901*b. Let k(g) = -6*d(g) + 17*t(g). Let f(m) = -661*m. What is f(k(s))?
661*s**2
Let d(q) = -q + 8*q**2 + q. Let g(b) = 139 + 2*b - 139 + 3*b - 8*b**2. Let f(c) = c**2 - c. Let n(y) = 5*f(y) + g(y). Determine d(n(v)).
72*v**4
Let g(r) = -32 + 178*r - 98*r - 93*r. Let z(j) = 4*j + 12. Let o(v) = 3*g(v) + 8*z(v). Let n(i) = 2*i. Calculate o(n(h)).
-14*h
Let c(s) = 1277*s**2. Let u(p) = 2*p - 21. Let g(l) = -5*l + 49. Let f(k) = 3*g(k) + 7*u(k). Calculate c(f(b)).
1277*b**2
Let f(m) = 10*m**2. Let l(c) = c + 26665310. Determine l(f(s)).
10*s**2 + 26665310
Let p(g) = 11*g**2 - 9427227*g + 9427227*g + 0*g**2. Let d(i) = 156*i**2. Give p(d(u)).
267696*u**4
Let q(y) = y. Suppose 4*a - 5*v = 22, 2*a - 6*v - 12 = -3*v. Suppose -6 = -a*p + 3. Let u(d) = 4 - p + 11*d**2 - 1. Determine q(u(c)).
11*c**2
Suppose -a = -0*q + q - 625, 2*q - 1871 = -3*a. Let b(i) = -6*i**2 + 314*i + 307*i - a*i. Let g(f) = -14*f**2. Determine g(b(o)).
-504*o**4
Let w(a) = 6*a**2 + a - 90. Let z(y) = -27907*y. Give w(z(s)).
4672803894*s**2 - 27907*s - 90
Let x(i) = -2*i. Let w(d) = -48038612*d. Calculate w(x(a)).
96077224*a
Suppose -280*f = -282*f + 66. Let c(w) = -f + 12 + 14 + 15 + 5*w. Let o(p) be the first derivative of -p**3/3 + 2. Calculate o(c(i)).
-25*i**2 - 80*i - 64
Let a(k) = -18*k. Let j(y) = 16*y**2 - y + 3859. Calculate a(j(x)).
-288*x**2 + 18*x - 69462
Let m(v) = v**2 - 7. Let z(u) = 87*u + 45. Let k(g) = 12*g + 6. Let w(n) = -15*k(n) + 2*z(n). Give w(m(t)).
-6*t**2 + 42
Let x(z) be the first derivative of z**2 - 241. Let q(j) = 4 + 4 + 3*j - 17. Determine x(q(k)).
6*k - 18
Let c(b) = -4*b. Let k(v) = 2*v. Let x(u) = -22*u. Let a = 393 - 437. Let d(i) = a*k(i) - 2*x(i). What is c(d(p))?
176*p
Let x(q) = 3*q - 3*q + 34*q + 54*q - 77. Let d(z) = 7*z - 6. Let a(c) = -77*d(c) + 6*x(c). Let i(k) = k - k + 3*k. Determine a(i(w)).
-33*w
Let p(c) = 3*c + 4*c + 11*c. Let f(t) be the first derivative of -t**5/30 + 289*t**2/2 + 55. Let h(d) be the second derivative of f(d). Determine p(h(z)).
-36*z**2
Let a(f) = f**2. Let w be (-10)/30 - (-4)/(-6). Let h be 10*w*(-1)/2. Let y(p) = -6*p + p + h*p + 7*p**2 - 3*p. What is a(y(c))?
49*c**4 - 42*c**3 + 9*c**2
Let t(v) be the second derivative of 1/3*v**3 + 7/6*v**4 + 0 - 180*v + 0*v**2. Let y(c) = 4*c. What is y(t(z))?
56*z**2 + 8*z
Let b(y) = 63*y + 2. Let h(n) be the first derivative of -26*n**2 - 3066. Give b(h(g)).
-3276*g + 2
Let j(c) = 4*c. Let f = -55 - -58. Let t(w) = -2*w + 9*w - 5*w - f*w. Calculate j(t(n)).
-4*n
Let v(f) = -56*f + 135*f - 40*f + f**2 - 39*f. Let l(i) = 1039*i. Calculate v(l(u)).
1079521*u**2
Let y(v) = 19532*v**2. Let u(x) = 5*x**2. Determine y(u(l)).
488300*l**4
Let b(k) be the first derivative of -1197*k**2 - 12078. Let c(i) = -6*i**2. Give c(b(z)).
-34387416*z**2
Let i(t) = -586124*t**2. Let x(y) = -7*y. Give i(x(g)).
-28720076*g**2
Let c(j) = 2*j**2. Let u(g) be the first derivative of 1286*g**3/3 + 4491. What is u(c(m))?
5144*m**4
Let l = 1/176 + 107/528. Let v(k) be the third derivative of -l*k**4 + 0*k**3 + 0 + 6*k**2 + 0*k. Let t(p) = -11*p**2. What is t(v(s))?
-275*s**2
Let t(u) = -920*u. Let k(w) = 4*w**2 - 11*w + 6. What is k(t(y))?
3385600*y**2 + 10120*y + 6
Let q(i) be the third derivative of -i**6/36 - 31*i**3/3 + 66*i**2. Let o(n) be the first derivative of q(n). Let v(h) = -2*h**2. Determine o(v(a)).
-40*a**4
Let o(t) = t**2. Let x(v) = 160*v - 160243. What is x(o(n))?
160*n**2 - 160243
Let f(g) = -g**2. Let c = -239/68 - -64/17. Let x(d) be the second derivative of 0 + 0*d**2 + 4*d + 0*d**3 + c*d**4. Determine f(x(z)).
-9*z**4
Let r = -687 - -709. Let v(z) be the second derivative of 1/3*z**3 + r*z + 0 + 0*z**2. Let c(o) = -17*o. Determine c(v(w)).
-34*w
Let n(i) = 647 - 209 - 2*i**2 - 211 - 227. Let y(g) = 5*g - 389. Give y(n(q)).
-10*q**2 - 389
