a). What is t(w(m))?
-2263*m**2
Let q(d) be the third derivative of -d**4/8 + 51*d**2 - 4*d. Let c(s) = -1111*s**2. Calculate q(c(z)).
3333*z**2
Let m(p) = -3*p - 82. Let z(r) = 13*r + 369. Let g(b) = 18*m(b) + 4*z(b). Let d(l) be the third derivative of 11*l**5/12 - 5*l**2. Calculate g(d(k)).
-110*k**2
Let n(y) = -9*y - 6. Let d(m) = -2*m**2 + 2*m - 249. Give n(d(q)).
18*q**2 - 18*q + 2235
Let d(f) = 1467 - 4250 + 1432 - 8*f + 1411 - 2*f. Let t(o) = -4*o**2. What is d(t(c))?
40*c**2 + 60
Let c(v) = 2517 - 4*v**2 - 5042 - 10*v**2 + 2525. Let k(o) = 35*o**2 - 8*o - 8. Let q(f) = 23*f**2 - 5*f - 5. Let m(i) = -5*k(i) + 8*q(i). Calculate c(m(r)).
-1134*r**4
Let o(z) = -119599*z. Let b(i) = -7*i**2 - 2*i. What is o(b(f))?
837193*f**2 + 239198*f
Let x(g) = 3*g - 17. Let p(k) be the second derivative of 1/6*k**3 + 0*k**2 - 4*k + 0. Calculate p(x(r)).
3*r - 17
Let k = -140 - -142. Suppose 5*m - 6 = n, 2*n + 2*n = k*m - 6. Let u(b) = m - b + 28 - 34. Let t(j) = 2*j. Calculate u(t(l)).
-2*l - 5
Let b(x) = -2*x. Let a(g) = -1964808*g + 31. Calculate b(a(f)).
3929616*f - 62
Let w(f) = -7 - 8 + 2*f - 10 + 25. Let z(v) = 28*v - 28*v - 150*v - 76*v. What is w(z(n))?
-452*n
Let o(m) be the second derivative of 0 + 104*m + 0*m**2 + 0*m**3 + 11/4*m**4. Let d(r) = -5*r**2. Calculate d(o(t)).
-5445*t**4
Let a(y) be the second derivative of y**4/12 + 47*y. Let o(f) = 28*f**2 - 11. Let q(n) = 9*n**2 - 4. Let i(r) = -4*o(r) + 11*q(r). Calculate i(a(m)).
-13*m**4
Let f(j) = 4975*j**2 - 899*j. Let v(r) = -3*r. Give v(f(n)).
-14925*n**2 + 2697*n
Let v(f) = -84191*f**2. Let s(p) = -24*p**2. Give s(v(z)).
-170114987544*z**4
Let h(a) = -2*a**2 - 12*a. Suppose -7*q = -i - 3*q + 10, 4*q + 16 = 4*i. Let v(u) = 2*u**i - 131*u - 3*u**2 + 131*u. Give h(v(j)).
-2*j**4 + 12*j**2
Let i(d) = 7*d**2 - 1. Let t(v) = 101453*v**2. Calculate i(t(k)).
72048978463*k**4 - 1
Let j(v) = -2*v. Let x(f) = 215484139*f**2. Determine j(x(m)).
-430968278*m**2
Let c(g) = -g - 72. Let x(f) = -5*f - 42. Let r(m) = 9*m + 77. Let z(d) = 6*r(d) + 11*x(d). Calculate z(c(l)).
l + 72
Suppose 3*i = 10 + 20. Let d(m) = 13*m**2 - i*m**2 + 31*m**2 + 26*m**2. Let w(x) = x**2. Give d(w(n)).
60*n**4
Let u(q) = -45*q**2 + 5*q. Let s(g) = 9860*g. Determine u(s(j)).
-4374882000*j**2 + 49300*j
Suppose 50*z = 103*z - 106. Let l(o) be the first derivative of 2/3*o**3 + 0*o - 16 + 0*o**z. Let i(t) = 73*t. What is i(l(s))?
146*s**2
Let h(m) = -11*m + 68. Let g be h(6). Suppose -6 = 3*a, 2*l + 10 = -l - 5*a. Let d(s) = l*s - g*s - s + 5*s. Let o(v) = 6*v**2. What is d(o(t))?
12*t**2
Let d(s) = 2*s**2. Let z(c) = 2149*c. Let u(f) = 179*f + 24. Let i(x) = -4. Let j(v) = 6*i(v) + u(v). Let l(y) = 49*j(y) - 4*z(y). Calculate d(l(b)).
61250*b**2
Let m(u) = 2*u**2. Let x(y) be the second derivative of y**3/6 + 32*y**2 - 3495*y. Give m(x(s)).
2*s**2 + 256*s + 8192
Let l(r) = -12*r**2. Let j(w) be the first derivative of -11*w**5/60 + 65*w**3 - 239. Let k(h) be the third derivative of j(h). Give k(l(z)).
264*z**2
Let g(u) = 4*u + 870. Let d(k) = -45*k - 2. Calculate g(d(b)).
-180*b + 862
Let j(c) be the second derivative of 7*c**4/6 - 6*c**2 - 11*c - 90. Let i(y) = 11*y. Determine j(i(h)).
1694*h**2 - 12
Let q(a) = 395 - 10*a - 395. Let b(t) = -54544*t**2 + 109097*t**2 - 54547*t**2. What is q(b(p))?
-60*p**2
Let m(z) = 371*z**2 - 134 - 843*z**2 + 134 - 421*z**2. Let t(p) = p. What is t(m(u))?
-893*u**2
Let x(g) = 2*g - 10. Let i(q) = -22654*q**2 - 2*q. Determine x(i(j)).
-45308*j**2 - 4*j - 10
Let a(h) = -h. Suppose 3*v = q + 9, -v + 3*q + 1214 - 1211 = 0. Let n(g) be the second derivative of -2*g + 0*g**2 + 0 + 8/3*g**v. Determine a(n(t)).
-16*t
Let q(n) be the second derivative of 0 + 32*n - 1/6*n**3 + 0*n**2. Let c(v) = 47*v**2. What is c(q(y))?
47*y**2
Let q(t) = 2*t. Let l(x) = -x**3 - 6*x**2 - 5*x + 6. Let v be l(-6). Let b(w) = 49 + v - 74 + w. Calculate b(q(s)).
2*s + 11
Let h(p) = 74*p - 2. Let l(t) = 512*t - 800. Let f(q) = -3*q + 5. Let r(o) = -160*f(o) - l(o). What is r(h(c))?
-2368*c + 64
Let t(p) = 194*p**2 + 137*p**2 - 318*p**2. Let m(u) = -9*u + 2. Let z(v) = 19*v - 5. Let c(g) = 5*m(g) + 2*z(g). What is c(t(n))?
-91*n**2
Suppose 45 = 3*m + 48. Let j(l) = -3*l**3 + l**2 - l - 1. Let o be j(m). Let a(p) = o*p**2 - 4*p**2 + 2*p**2. Let x(z) = 27*z. Give a(x(k)).
1458*k**2
Let k(i) = -36*i**2. Let n(h) = -2913*h + 30. Calculate n(k(y)).
104868*y**2 + 30
Let i(c) = 7*c**2. Let s(f) = -14*f + 3. Let w(a) = 29*a - 7. Let j(n) = 10*n + 17. Let q be j(-1). Let b(x) = q*s(x) + 3*w(x). Calculate b(i(o)).
-77*o**2
Let t(f) = 3*f**2 + 1504. Let v(h) be the second derivative of h**4/12 + 212*h - 4. Give t(v(j)).
3*j**4 + 1504
Let a = 7240 - 2378. Let i(n) = n**2 - 4862 + a. Let l(b) = -4*b**2. What is l(i(d))?
-4*d**4
Let c(u) = -u**2. Let q(j) be the second derivative of -30*j - 23*j + 100*j**3 - 106*j**3. Determine q(c(k)).
36*k**2
Let v(c) = 3*c + 30. Let b(q) = 19*q**2 + 2. Let p(o) = 46*o**2 + 5. Let i(u) = -5*b(u) + 2*p(u). Give v(i(t)).
-9*t**2 + 30
Let l(m) be the third derivative of 0*m**3 - 25*m**2 + 0*m + 0 + 1/12*m**4. Let w(t) be the second derivative of -11*t**4/2 + 6*t. Calculate l(w(x)).
-132*x**2
Let u(d) = -d**2. Let s(j) be the first derivative of -7084*j**2 - 6081. Determine s(u(k)).
14168*k**2
Let u(t) = t. Let g(f) = 26*f - 1481. Let s(y) = -4*y + 1. Let p(w) = -g(w) - 6*s(w). Calculate u(p(i)).
-2*i + 1475
Let y(q) = -336*q. Let u(o) = 2753142*o - 2753142*o - 2*o**2. Determine y(u(v)).
672*v**2
Let z = 192 - 178. Let n(q) = -z + 14 + 7*q**2 + 0. Let o(v) be the first derivative of v**2/2 - 6. Calculate o(n(g)).
7*g**2
Let b(h) = -6*h - 1. Let y(k) be the third derivative of 49*k**5/30 - 195*k**2 + 2*k. Determine y(b(z)).
3528*z**2 + 1176*z + 98
Let g(s) be the third derivative of 4*s**7/315 - s**4/12 + 2*s**2. Let q(j) be the second derivative of g(j). Let b(r) = 161 + r - 80 - 81. Give q(b(i)).
32*i**2
Let y(s) = 21*s - 10*s + 18*s + 2*s**2 + s**2 - 29*s. Let j(m) = m - 1. Let d(l) = -1. Let f = 5 - 8. Let c(g) = f*d(g) + 3*j(g). What is y(c(p))?
27*p**2
Let k(z) = 147*z**2. Let a(x) = -145*x**2 + 5*x + 12. Determine a(k(m)).
-3133305*m**4 + 735*m**2 + 12
Let f(s) = -42*s**2. Suppose d + 26 = 27. Let j(x) = 1 - d - 55*x**2 + 54*x**2. Give f(j(a)).
-42*a**4
Let k(b) = 345 - 345 + 15*b. Let x(n) be the second derivative of -n**3/3 + 185*n + 1. Calculate x(k(f)).
-30*f
Let b(j) = 1948*j**2 + j. Let k(d) = -324*d + 2. Determine k(b(z)).
-631152*z**2 - 324*z + 2
Suppose 157 = h + 308 - 156. Let v(p) be the third derivative of 7/30*p**h + 0 + 0*p**4 + 0*p + 0*p**3 + 14*p**2. Let w(x) = -x. Determine w(v(n)).
-14*n**2
Let a(v) = -v. Let b(n) = 104*n + 3328. Let q be b(-32). Let w(t) be the first derivative of 3/2*t**2 - 4 + q*t. Determine w(a(s)).
-3*s
Let y(r) be the first derivative of 37*r**3/3 + 1. Let l = 246 + -225. Let w(i) = -19*i - l*i + i**2 + 40*i. What is w(y(s))?
1369*s**4
Let q(x) = -6*x**2. Let w(b) = 992657*b. What is w(q(g))?
-5955942*g**2
Let g(f) = -433*f**2 + 2*f. Let r(x) = 14702*x. What is g(r(t))?
-93592432132*t**2 + 29404*t
Let c(h) = 8*h. Let r(m) be the second derivative of 89*m**4/12 - m + 54. Calculate r(c(n)).
5696*n**2
Let m be 114/22 + (12/(-33))/2. Let c(q) = -7 + 2 - 4*q + m. Let y(u) = -6*u**2 + 9*u**2 - 6*u**2 - 2*u**2. Determine y(c(j)).
-80*j**2
Let t(j) = 2*j**2 + 2. Let x(a) = -1. Let h(p) = t(p) + 2*x(p). Let c(l) = 19*l + 20*l - 7 + 7 - 24*l + 12*l. Give c(h(b)).
54*b**2
Let b(f) = 45850979 - 45850979 - 116*f. Let k(d) = 18*d**2. Give b(k(i)).
-2088*i**2
Let a(f) = -3*f. Let u(g) be the second derivative of 0*g**3 - 9/4*g**4 + 0*g**2 + 0 - 172*g. Determine u(a(o)).
-243*o**2
Let n(g) be the second derivative of 0*g**2 - 29/6*g**4 + g + 0*g**3 + 45. Let v(a) = a**2. Calculate v(n(p)).
3364*p**4
Let g(i) = -4*i - 384754. Let n(o) = -9*o. Give n(g(c)).
36*c + 3462786
Suppose 55*f - 43*f - 456 = 0. Let h(l) = -l + 38 - f - 3*l + 3*l. Let c(x) = -291*x**2 - 1. Determine c(h(t)).
-291*t**2 - 1
Let j(n) = -220*n**2 - 2*n. Let o(f) be the first derivative of 9*f**2/2 - 350. Determine o(j(d)).
-1980*d**2 - 18*d
Let u(g) be the first derivative of -2*g**2 - 1835. Let k(z) = 301*z. Calculate u(k(a)).
-1204*a
Let n(d) = -d. Let m(v) be the first derivative of -226 - v**2 - 28