- 4. Calculate z(y(c)).
4*c**2 + 38
Let r(d) = d. Let i(s) = 29696*s. Give r(i(z)).
29696*z
Let w(y) = -455252*y**2. Let s(u) = -u. Give s(w(r)).
455252*r**2
Let n(s) = -324*s + 114*s + 206*s + 2. Let p(j) = 2*j**2 - 3*j + 3. Let b(a) = -7*a**2 + 11*a - 11. Let z(h) = 6*b(h) + 22*p(h). What is z(n(y))?
32*y**2 - 32*y + 8
Let f(x) = 102660*x. Let h(g) = -9*g. Determine f(h(n)).
-923940*n
Let f(q) = -38*q. Let m(t) be the second derivative of -t**5/40 + 22*t**3/3 - 38*t - 2. Let u(w) be the second derivative of m(w). What is u(f(d))?
114*d
Let g(d) be the third derivative of d**4/24 + 2*d**2 + 3*d. Let k(b) = 3*b**2 - 6. Let s(f) = -f**2 + 1. Let u(i) = k(i) + 6*s(i). Determine g(u(v)).
-3*v**2
Let c(b) = b + 437. Let g(u) be the first derivative of -u**2/2 - 82. Give g(c(n)).
-n - 437
Let a(d) = 648*d. Let s(q) = 96*q. Give a(s(p)).
62208*p
Let w(b) = 7*b - 7*b - b. Let q(h) = h**2 + 10*h + 2. Let p be q(-10). Let d(c) = -c**p + c**2 + c**2 - 9*c**2. Give d(w(v)).
-8*v**2
Let x(t) = 245233*t**2. Let w(r) = 3*r**2. What is w(x(v))?
180417672867*v**4
Let g = 8 + -6. Let m(t) = -24*t + 47*t - 23*t - 3*t**g. Let k(h) = 2*h. What is m(k(i))?
-12*i**2
Let c(q) = 73*q. Let l(y) = -27460*y**2. Give c(l(x)).
-2004580*x**2
Let b(f) be the first derivative of f**2/2 - 217. Let v(k) = 2 - 1 - 1 - 14*k. What is b(v(j))?
-14*j
Let g(k) = -2*k**2 - 21*k. Let u(z) = -640*z. Give g(u(y)).
-819200*y**2 + 13440*y
Let q(y) = 109*y**2 - 1 + 1 - 10*y**2 + 35*y**2. Let f(o) = -o. Determine q(f(u)).
134*u**2
Let w(x) be the first derivative of 31*x**3/3 - x**2 - 19. Let q(d) = -d**2. Calculate w(q(a)).
31*a**4 + 2*a**2
Suppose 4*u = -4*f + 16, -2*u = 2*u - 4*f + 16. Let g(i) = 5*i - 630 + 630 + u*i. Let z(a) = -5*a. Calculate g(z(y)).
-25*y
Let c(v) = 9*v - 5. Let h(u) = -22*u + 12. Let g(p) = -12*c(p) - 5*h(p). Let f(o) = 9*o**2. What is g(f(i))?
18*i**2
Let j(m) = -2*m**2. Let r(y) = -8*y + 307. Calculate j(r(k)).
-128*k**2 + 9824*k - 188498
Let y(d) = 152*d. Let l(v) = -102*v**2 + 5. Determine y(l(f)).
-15504*f**2 + 760
Suppose 0 = 2*u - 2*c - 2*c - 4, 2*u - 18 = -3*c. Let g(l) = -l**2 + 7*l - 6. Let b be g(u). Let n(v) = 2*v**2 + v**2 + b*v**2. Let y(s) = -s**2. Give n(y(o)).
3*o**4
Let n(s) = 3 - 6 - 5 + 6*s. Let j(m) = 59919 + 59920 + 2*m - 119839. Determine j(n(b)).
12*b - 16
Let n(l) = 2*l. Let d(z) = 96937*z. Give n(d(p)).
193874*p
Let b = 22 - 28. Let c(v) = 5*v**2 - 3. Let y(m) = -11 + 7*m**2 + 14*m**2 - 2*m**2. Let u(t) = b*y(t) + 22*c(t). Let f(g) = 3*g. Determine f(u(r)).
-12*r**2
Let j(f) = -f + 0*f + 3*f. Let s be ((-9)/18)/(-1*2/28). Let y(t) = 6*t + s*t - 14*t. Determine y(j(p)).
-2*p
Let h(p) = 29*p**2. Let f(i) = 59334 - 59334 - 3*i**2. Give h(f(z)).
261*z**4
Let g(d) = -10*d**2. Let w(r) = 12*r**2. Let n(a) = 12*a**2. Let p(f) = -5*n(f) + 6*w(f). Determine p(g(l)).
1200*l**4
Let z(f) = -10*f**2. Let k be (-22)/(-2) - (-3 - (-2 - -1)). Let v(x) = x**2 - k - 3 + 16. Calculate z(v(c)).
-10*c**4
Let i(w) be the third derivative of w**5/30 + 83*w**4/24 + 4*w**2 + 4*w. Let f(r) = r**2. Determine f(i(c)).
4*c**4 + 332*c**3 + 6889*c**2
Let d(w) be the first derivative of -w**4/24 + w**2/2 - 6. Let p(z) be the second derivative of d(z). Let i(r) = -4*r**2. Give p(i(q)).
4*q**2
Let i(x) = 55*x + 1. Let v(b) = 19*b**2 + 28. Determine v(i(g)).
57475*g**2 + 2090*g + 47
Let g(d) = -2*d. Let m(v) be the second derivative of 380*v**3/3 - v**2/2 - 837*v. Give g(m(q)).
-1520*q + 2
Let f(h) be the second derivative of -104*h**4/3 + 126*h. Let j(q) = -2*q**2. Give f(j(w)).
-1664*w**4
Let j(l) = 48*l. Let q(y) = 0*y**2 - 2*y - 3*y**2 - 4*y + 4*y**2. Let t(i) = i. Let h(x) = -q(x) - 6*t(x). Give j(h(w)).
-48*w**2
Let b(t) = -464 - 462 + 926 - 358*t. Let r(s) = -2*s**2. Give b(r(q)).
716*q**2
Let l(t) = 2*t. Let b(d) = -65*d**2 + 6. Let k(w) = -131*w**2 + 13. Let s(i) = 13*b(i) - 6*k(i). Give s(l(p)).
-236*p**2
Let u(x) = 2*x**2 + 10. Let o(z) = -z + 47866 - 47866. Determine u(o(k)).
2*k**2 + 10
Let b(j) = 2*j. Let m(v) = 10 - 5*v - v**3 + 2*v**3 - 4*v - 7*v**2. Let x be m(8). Let a(p) = p**2 - 5*p**2 + 4*p**2 - x*p**2. Give a(b(s)).
-8*s**2
Let d(p) = -7*p**2. Let r(y) = 44*y**2. Let x(t) = -6*d(t) - r(t). Let v(u) = -26*u**2. Calculate v(x(l)).
-104*l**4
Let x = -418 + 418. Let z(h) be the third derivative of x + 0*h**4 + 0*h**3 + 0*h - 1/60*h**5 + 6*h**2. Let k(w) = 9*w**2. Give z(k(v)).
-81*v**4
Let m be 3/8 - 252/(-96). Suppose -m = 2*s - 7. Let h(u) = u - 19*u**s - u + 23*u**2. Let z(i) = -6*i**2. Calculate h(z(o)).
144*o**4
Let b(v) = -1786*v. Let n(g) = 16*g. What is n(b(y))?
-28576*y
Let h(f) = -175*f**2 + 189*f. Let b(d) = 11*d**2 - 12*d. Let t(i) = 63*b(i) + 4*h(i). Let n(k) = k**2 - 8. Give n(t(w)).
49*w**4 - 8
Let q = 1223 - 1223. Let x(s) be the second derivative of 0*s**2 + 6*s + 1/6*s**3 + q. Let d(p) = 2*p. Give x(d(a)).
2*a
Let j(w) = 1408*w. Let c(v) = -598*v**2. Calculate c(j(b)).
-1185513472*b**2
Let t(g) = -3*g**2 - 98*g + 1. Let o(x) = 25*x**2. Calculate t(o(k)).
-1875*k**4 - 2450*k**2 + 1
Let y(d) = d + 2. Let i(b) = 7*b + 8. Let m(z) = -i(z) + 4*y(z). Let l(r) = 3*r**2 + 3*r**2 - 5*r**2. Calculate m(l(s)).
-3*s**2
Let l(w) be the second derivative of w**5/20 - 16*w**2 + 36*w. Let b(g) be the first derivative of l(g). Let v(m) = 19*m. Determine b(v(k)).
1083*k**2
Let z(s) be the first derivative of 5*s**2/2 + 520. Let v(l) = -26*l**2 + 8. What is z(v(o))?
-130*o**2 + 40
Let k = -11 - -13. Suppose -3*l = k*w + w - 27, -44 = -5*l - 4*w. Let d(b) = l*b - 4*b + 0 + 0. Let x(y) = 3*y**2. Give d(x(v)).
12*v**2
Let i(h) = -2*h**2. Let z(y) = -120*y**2 + 3*y + 7. Let n(s) = -s**2 - s - 2. Let l(u) = 3*n(u) + z(u). Give l(i(t)).
-492*t**4 + 1
Let c(l) = 47*l - 61*l + 12*l. Let z(o) = -10*o. Give c(z(n)).
20*n
Let w be (-2)/8 - (-13)/4. Let v(s) = w*s - s - s. Let r(p) be the second derivative of p**4/4 + 2*p + 355. Determine v(r(i)).
3*i**2
Let d = -17 - -19. Let o(h) = -28*h**d + 22*h**2 + 10*h**2. Let a(z) = 8*z. What is a(o(j))?
32*j**2
Let m(u) be the third derivative of 11*u**5/60 + u**4/12 - 3*u**2 - 8*u. Let l(z) = -2*z. Give m(l(k)).
44*k**2 - 4*k
Let z(j) be the first derivative of -10*j**3/3 + 2. Let q = -18 + 20. Let x(w) = 5*w - 3*w - q*w + w**2. Give z(x(k)).
-10*k**4
Let m(v) = v**2. Let l(q) = 1499*q + 1500*q - 3000*q + 21. Give m(l(k)).
k**2 - 42*k + 441
Let z(q) be the third derivative of -q**4/24 + 3*q**2. Suppose 4 + 8 = 6*i. Let a(o) = -2*o**i - 5*o**2 - 8*o**2 + 4*o**2. Determine z(a(d)).
11*d**2
Let h(m) = 0*m**2 - 2*m**2 + 5*m**2 + 3. Let w(f) be the first derivative of -f**2 - 5901. Determine h(w(n)).
12*n**2 + 3
Let k(a) = -13 + 166 + 52*a - 26*a - 25*a. Let m(z) = 2*z**2. Determine m(k(y)).
2*y**2 + 612*y + 46818
Let y(r) = -r. Let d(s) be the second derivative of -2*s**3 + s**2/2 + 113*s. Determine y(d(n)).
12*n - 1
Let p(q) be the second derivative of 0 - 2*q + 0*q**2 + 0*q**3 - 7/12*q**4. Let g(r) be the first derivative of 2*r**3/3 - 23. Calculate g(p(d)).
98*d**4
Let x(m) = -6*m + 7. Let c(n) = 5*n - 6. Let s(i) = 7*c(i) + 6*x(i). Let u(o) = 8*o**2. Give s(u(l)).
-8*l**2
Let c(b) = -26*b. Let g(w) = -w + 4. Let s(a) = -a + 2. Let z(f) = g(f) - 2*s(f). Give c(z(d)).
-26*d
Let x(b) = -2823*b + 1. Let t(d) = -17*d**2. Give t(x(k)).
-135478593*k**2 + 95982*k - 17
Let i(q) = 8*q**2. Let t(y) be the third derivative of y**4/8 - 86*y**2. Determine i(t(c)).
72*c**2
Let x(r) be the first derivative of r**3/3 + 69. Let c(w) = -w**2 - 4*w. What is x(c(u))?
u**4 + 8*u**3 + 16*u**2
Let o(d) = -33*d + 11. Let f(s) = 17*s - 4. Let l(i) = 9*f(i) + 4*o(i). Let m(x) = x. Give l(m(c)).
21*c + 8
Let i(m) = 10*m. Let c(w) = -1657*w**2 - 1. Determine i(c(k)).
-16570*k**2 - 10
Let g(q) = -11*q. Let b(p) be the first derivative of 19*p**3/3 - 236. What is b(g(m))?
2299*m**2
Let p(b) = -135*b**2. Let x(w) be the third derivative of -w**5/60 - 70*w**2. Give p(x(d)).
-135*d**4
Let o(y) = 11*y + 16*y + 10*y + 8*y - 46*y. Let l(u) = -2*u + 21. What is o(l(a))?
2*a - 21
Let r(i) = 3*i. Let n(z) be the third derivative of z**5/60 + z**3/3 + 22*z**2 - 2. Give r(n(d)).
3*d**2 + 6
Let f(w) = -8*w**2 - 41*w**2 - 14*w + 96*w**2 + 13*w. Let i(d) = 8*d**2. What is f(i(c))?
3008*c**4 - 8*c**2
Let j be 6970/(-2091)*(6/(-5) + 0). Suppose 5*v - 14 = -4*w, -3*w 