47. Determine t(h(l)).
6*l**2 + 51
Let v(f) = 4*f**2. Let w(z) = 21*z**2 + 18*z - 6. Let n(t) = 23*t**2 + 21*t - 7. Let o(u) = 6*n(u) - 7*w(u). Determine v(o(x)).
324*x**4
Let x(k) be the third derivative of -k**8/2240 - 3*k**5/20 - 2*k**2. Let g(p) be the third derivative of x(p). Let b(s) = -17 + 17 - 2*s. What is g(b(d))?
-36*d**2
Let z(h) = 5340092*h. Let n(r) = 4*r**2 + 3*r. What is z(n(q))?
21360368*q**2 + 16020276*q
Suppose 3*x = 3*h + 527 - 41, -4*x = 5*h - 630. Let p(v) = 14*v**2 + 160*v - x*v + 18*v**2. Let j(a) = 4*a. Determine p(j(n)).
512*n**2
Let w(t) = -137621124*t**2. Let i(b) = -b. What is i(w(p))?
137621124*p**2
Let r(g) = g**2 - 47. Let u(c) = -48. Let h(j) = -2*j - 762. Let m(i) = h(i) - 16*u(i). Give r(m(d)).
4*d**2 - 24*d - 11
Let b(u) = -2*u**2. Let m(o) = 1515*o + 24. Let t(q) = -1716496*q - 27198. Let w(v) = -4533*m(v) - 4*t(v). What is b(w(a))?
-4566242*a**2
Let l(c) = 62*c**2. Let j(p) = -62*p**2 - 67*p**2 - 52*p**2 + 175*p**2. Give l(j(n)).
2232*n**4
Let f(b) be the second derivative of -38*b**3/3 + 23*b. Let p(a) be the third derivative of a**5/20 + 15*a**2 - 2*a. Determine f(p(l)).
-228*l**2
Let w be 487/(-3) + (4 + 0)/12. Let n be (-36)/w + 16/9. Let i(u) = -232*u**2 + 69*u**n + 97*u**2. Let a(f) = -f. Determine i(a(k)).
-66*k**2
Let v(c) = 6*c. Let t(z) = 13*z + 559995. Calculate v(t(k)).
78*k + 3359970
Let j(m) = -2*m**2 - 9*m + 45*m - 3*m**2 - 36*m. Let b(d) = 0*d**2 + 2*d**2 + 5*d**2 - 3*d**2. What is j(b(r))?
-80*r**4
Let s(i) = 4*i**2 - 2*i. Suppose -2*t = -3*o - 892 + 4134, 0 = 5*o - 2*t - 5410. Let m(b) = -2*b**2 - 1084*b + o*b. Calculate m(s(c)).
-32*c**4 + 32*c**3 - 8*c**2
Let s(l) = 18*l**2 + 4. Let u(g) be the first derivative of 21*g**2 + 3368. What is s(u(p))?
31752*p**2 + 4
Suppose 3*b + 3*t - 18 = 0, 5*t - 6*t + 14 = 5*b. Let s(c) = -20*c**b + 7*c**2 + 10*c**2 + c**2. Let w(o) = 68*o. Determine s(w(x)).
-9248*x**2
Let l(c) be the third derivative of -c**4/6 + 237*c**2 - 1. Let p(s) = -1456*s + 140. Let t(i) = -31*i + 3. Let d(j) = -3*p(j) + 140*t(j). Give d(l(q)).
-112*q
Let u(p) be the first derivative of -42 - 2*p**2 + 14 + 17 + 10. Let k(o) = 42*o. Determine u(k(c)).
-168*c
Let g(a) = -a**3 - 5*a**2 + 3*a - 16. Let c be g(-6). Let p(r) = -26 - 191*r**c + 92*r**2 + 97*r**2. Let x(b) = -3*b. What is p(x(u))?
-18*u**2 - 26
Let t(n) = -77*n + 3 + 233*n - 78*n - 78*n + n**2. Let h(f) = -24*f**2. Give t(h(z)).
576*z**4 + 3
Let i(t) = -16*t**2. Let p(v) = 14436215*v. Give p(i(h)).
-230979440*h**2
Let c(r) = 9*r + 7*r + 9*r + 5*r - 31*r. Let j(g) = 685*g. Calculate j(c(d)).
-685*d
Let t(z) = 1338842*z**2. Let r(h) = 8*h. Calculate r(t(b)).
10710736*b**2
Let m(b) = -115*b. Let v(a) = -10049*a**2. What is m(v(h))?
1155635*h**2
Let y(f) = -35*f. Let a(p) = -122026*p**2 + 2*p. What is y(a(r))?
4270910*r**2 - 70*r
Let c(f) = -6*f**2 - 206671*f. Let r(d) = -2*d. Give c(r(t)).
-24*t**2 + 413342*t
Suppose 0 = 8*t - 10*t. Suppose 0 = -f + 1, 0 = -2*v - t*f - f + 7. Let w(d) = 5*d - v*d - d. Let n(g) = -g**2. Give w(n(j)).
-j**2
Let u(h) = 1423790*h**2 - 4*h + 1. Let a(d) = -4*d. Give u(a(i)).
22780640*i**2 + 16*i + 1
Let d(g) = 14*g - 32 + 12 + 14*g + 17. Let z(a) = 395*a + 397*a - 794*a. What is d(z(c))?
-56*c - 3
Let i(d) be the third derivative of 178*d**2 + 0*d**3 + 1/2*d**4 + 0*d + 0. Let t(g) = -15*g**2. What is t(i(h))?
-2160*h**2
Let d(z) = -z. Let b(p) = p + 5*p - 4*p. Let x(n) = -2*b(n) - 2*d(n). Let m(i) = 24*i - 1. Determine m(x(h)).
-48*h - 1
Let a(s) = 2*s. Let m(k) = -113295059*k. Give a(m(o)).
-226590118*o
Let c(y) = -277504*y. Let n(i) = -99*i. Calculate n(c(s)).
27472896*s
Let a(r) be the first derivative of -r**2 + 1029. Let n(m) = -3*m + 763. Give a(n(l)).
6*l - 1526
Let l(b) = 5*b - 4022. Let d(k) = 23*k - 2. What is d(l(x))?
115*x - 92508
Let t(g) = -14*g**2. Let n(c) be the second derivative of c**6/80 + 113*c**4/12 - 4*c - 2. Let f(d) be the third derivative of n(d). Give f(t(b)).
-126*b**2
Let c(a) be the second derivative of 1/3*a**3 + 0 + 0*a**2 + 3*a. Let i(n) be the second derivative of -17*n**3/6 + 33*n. What is i(c(v))?
-34*v
Let d(r) = 3*r. Let s(g) = 62*g**2 - 156*g**2 - 307*g**2 - 25*g**2. Give s(d(l)).
-3834*l**2
Let m(g) = 2*g**2 + 24*g + 289. Let q(i) = 238*i - 1. Give q(m(j)).
476*j**2 + 5712*j + 68781
Let u(y) be the second derivative of -y**5/20 - y**4/3 - y**3/2 + 2*y**2 - 8*y. Let x be u(-3). Let b(r) = 5 - x - 1 - 7*r. Let p(w) = -2*w. Calculate p(b(c)).
14*c
Let a = -39 - -41. Suppose -3*b + 51 = -3*u, -b - 3*u = -a*b + 27. Let d(r) = r**2 + 12*r**2 - b*r**2. Let z(v) = 39*v. Determine z(d(o)).
39*o**2
Let q(s) = 2*s**2. Let b(h) = -60274447*h. What is b(q(l))?
-120548894*l**2
Let v(z) = 409*z. Let n(q) = -6*q - 73309. Calculate n(v(d)).
-2454*d - 73309
Let p(d) = -288085594*d. Let k(f) = 2*f. Calculate k(p(l)).
-576171188*l
Suppose -370 = -9*o - o. Let t(u) = 16*u + 20*u - o*u. Let r(d) = -42*d**2. Give t(r(m)).
42*m**2
Let q(v) be the first derivative of -3*v**4/8 + 19*v**2 + 20. Let k(m) be the second derivative of q(m). Let u(z) = z. What is k(u(l))?
-9*l
Let c(n) = -24*n**2 + 1. Let t(b) be the third derivative of b**5/15 - 822*b**2 - 1. Calculate t(c(y)).
2304*y**4 - 192*y**2 + 4
Let b(q) = 26*q**2 - 5*q - 78. Let s(l) = 10*l**2 - 2*l - 39. Let a(z) = -2*b(z) + 5*s(z). Let c(p) = p**2. Give c(a(m)).
4*m**4 + 156*m**2 + 1521
Suppose 4*o = o - 12. Let b be (o - 1/1)*12/10. Let g(a) = -14*a + 17. Let r(m) = 5*m - 6. Let j(n) = b*g(n) - 17*r(n). Let q(v) = 12*v. Calculate j(q(h)).
-12*h
Let c(u) = 70*u. Let a be (-9 - 8/(-1))*-2. Let b(d) = 2*d**2 + 66*d - 33*d - 33*d - d**a. Determine c(b(m)).
70*m**2
Let o(u) = -6*u**3 - 31*u**2 - 7*u - 6. Let y be o(-5). Let i(r) = 35*r - 32*r - y*r. Let k(a) = -8*a. Calculate i(k(d)).
8*d
Let w(f) = -4025*f**2. Let m(n) = -1179*n. What is m(w(i))?
4745475*i**2
Let b(i) = 2*i**2 + 92*i. Let j(k) be the third derivative of 0*k**3 - 1/60*k**5 + 12 + 2*k**2 + 0*k**4 + 0*k. Calculate b(j(d)).
2*d**4 - 92*d**2
Let h(v) = -14*v. Let i be (-142)/6 - (-4)/6. Let a = 61 + i. Let g(m) = a*m + 47*m - 82*m. Calculate g(h(l)).
-42*l
Let f(l) = 3*l. Let n(h) = 3*h**2 + 181503*h - 5*h**2 - 181501*h - 3*h**2 + 659 + 3*h**2. Determine n(f(c)).
-18*c**2 + 6*c + 659
Let k(x) be the second derivative of -8*x**3/3 - 130*x. Let h(o) = 7*o**2 - 608 + 608. What is k(h(n))?
-112*n**2
Let y(x) be the second derivative of 3*x**3 + 2*x. Let n(t) be the third derivative of -1/60*t**5 - 8*t**2 + 0*t + 2 + 0*t**3 + 0*t**4. Determine n(y(o)).
-324*o**2
Let m(w) = w**2 - 1. Let o(n) = -n**2 - 1. Let r(t) = -m(t) + o(t). Let y = -90 - -145. Let l(f) = 150*f - 53*f - 52*f - y*f. What is r(l(p))?
-200*p**2
Let q(r) = -15*r**2 - 28*r + 16. Let k be q(-5). Let a(t) = -t - 3. Let y(j) = 292*j + 657. Let m(n) = k*a(n) - y(n). Let i(z) = -2*z**2. Determine i(m(o)).
-10658*o**2
Let h(m) = -5575*m + 11169*m - 11312*m. Let y(o) = 3*o. Determine y(h(f)).
-17154*f
Let r(w) = w - 15. Let b(y) = 24803*y**2. Give r(b(g)).
24803*g**2 - 15
Let n(u) = -2*u. Let h(p) = 235*p + 233*p - 700*p + 880*p**2 + 232*p. Calculate h(n(a)).
3520*a**2
Let g(t) = -t. Let z(k) = 30*k + 35*k + 15 - 92*k - 10*k**2 + 25*k. What is g(z(a))?
10*a**2 + 2*a - 15
Let t(s) be the third derivative of -11*s**5/60 - 18*s**2. Let l(m) = -24 - 9*m**2 - 27 + 51. Calculate l(t(h)).
-1089*h**4
Suppose 1311 = 22*f + f. Let k(b) = 2*b**2 + 110*b - f*b - 53*b. Let z(j) = 220*j**2. Calculate k(z(o)).
96800*o**4
Let q(a) = -42*a**2 - a - 492. Let d(t) = 178*t. What is d(q(v))?
-7476*v**2 - 178*v - 87576
Let o(m) be the first derivative of 22*m**3/3 + 6781. Let t(g) = -126*g. Determine t(o(x)).
-2772*x**2
Let g(f) = 4*f. Let t(i) = -2607*i**2 - 28*i + 8. Let w(o) = 25603344*o**2 + 274995*o - 78570. Let u(b) = -39285*t(b) - 4*w(b). Give u(g(k)).
41904*k**2
Let q(t) = t**2 + 6877*t. Let j(f) = 7650*f. Calculate j(q(g)).
7650*g**2 + 52609050*g
Let s(r) = -7*r**2. Suppose 2*g + 160 = 12*g. Let f be (-168)/(-64) - (-6)/g. Let j(p) = 6*p - 3*p - f*p - 2*p. Give s(j(l)).
-28*l**2
Let p(w) = -116019*w**2 + 11*w. Let k(c) = -2*c**2. What is p(k(g))?
-464076*g**4 - 22*g**2
Let o(l) = -483*l. Let a(p) = -p**2 + 36*p - 28. Calculate o(a(m)).
483*m**2 - 17388*m + 13524
Let i(n) = -2*n + 14. Let u(s) = s - 6. Let p(b) = -6*i(b)