- 482*j - 5. Determine m(b(z)).
-28*z
Let j(w) be the first derivative of 19*w**3/3 - 1. Suppose -40*q = -34*q - 114. Let c(b) = 2*b**2 - 40*b + 21*b + q*b. Give j(c(n)).
76*n**4
Let g(h) = 13*h - 3. Let s(y) = 10*y - 2. Let n(z) = 2*g(z) - 3*s(z). Let x(k) = k. Let t(i) = -2*n(i) - 11*x(i). Let l(m) = 64*m. Calculate t(l(v)).
-192*v
Let j(z) = 72*z**2 - 16*z**2 - 2 + 2. Suppose -5*i - 3*c + 35 = 0, 3*i - 4*i - c = -9. Let o(b) = -5*b - 5*b + 15*b - i*b. Calculate j(o(g)).
56*g**2
Let p(j) = -3*j + 127. Let q(o) = 2*o - 62. Let s(v) = 4*p(v) + 7*q(v). Let m(r) = -5*r. What is m(s(g))?
-10*g - 370
Let k(y) = 4*y. Let b(a) = -1473*a**2 - 7*a - 9. What is k(b(r))?
-5892*r**2 - 28*r - 36
Let l(p) be the third derivative of p**5/60 + 495*p**2. Let b(q) = -2*q - 1475. What is b(l(v))?
-2*v**2 - 1475
Let z(n) be the second derivative of -2*n**3/3 + 7584*n. Let g(a) be the second derivative of a**3/2 + 3*a**2 - 12*a. What is g(z(s))?
-12*s + 6
Let v = -254 - -257. Let z(p) = 7 + 3 + 2*p - 10 - v*p. Let c(h) = -5*h + 2. What is z(c(b))?
5*b - 2
Let k(h) = -3*h + 11. Let d be k(3). Let b(m) = 328 - 17*m**d - 328. Let n(c) = -11*c**2. Determine n(b(s)).
-3179*s**4
Let p(x) = 2*x. Let t(u) = -u - 2116*u**2 + 34*u - 2117*u**2 + 4224*u**2. Determine t(p(r)).
-36*r**2 + 66*r
Let j(q) = 11*q**2 + 25*q**2 - 3*q**2 - 2*q**2. Let p(s) be the first derivative of 2*s**3/3 + 110. Determine p(j(v)).
1922*v**4
Let u(b) = 85*b. Let y(v) = v**2 - 12*v + 18. Give y(u(s)).
7225*s**2 - 1020*s + 18
Let v(k) = 314*k**3 + k**2 + 3*k + 14. Let j be v(3). Let q(g) = -8446*g + j*g - 1 - 2. Let y(r) = -2*r**2. Calculate y(q(p)).
-8192*p**2 + 768*p - 18
Let h(k) = 2*k. Suppose 0 = 4*y + 5*c - 16, -15*c + 10*c = 20. Let b(t) = -256 - y*t + 256. Determine h(b(i)).
-18*i
Let c(g) be the first derivative of g**3/3 - g**2 - 2*g - 1. Let y(f) = f + 1. Let z(a) = c(a) + 2*y(a). Let u(h) = -62*h**2. Give z(u(q)).
3844*q**4
Let j(t) = 19*t - 60. Let n(g) = -41*g + 130. Let m(l) = 13*j(l) + 6*n(l). Let r(b) = -b - 484. Calculate r(m(h)).
-h - 484
Let i(m) = -3*m**2 + 29*m. Let n(y) = 110*y. Let u(d) = 10*d. Let t(p) = n(p) - 10*u(p). Calculate t(i(z)).
-30*z**2 + 290*z
Let p(u) = -1346*u**2 - 43*u + 315. Let f(v) = -4*v**2. Determine p(f(r)).
-21536*r**4 + 172*r**2 + 315
Let t(o) be the first derivative of -9/2*o**2 - o - 148. Let n(p) = 5*p. Calculate n(t(b)).
-45*b - 5
Let l(o) = -14*o**2 - 3*o. Let k(x) = 70*x**2 + 14*x. Let h(v) = -3*k(v) - 14*l(v). Let c(g) be the first derivative of 27 - 3/2*g**2 + 0*g. What is c(h(y))?
42*y**2
Let u(l) = -3*l**2 + 18. Let i(k) be the second derivative of -k**3/2 + 444*k - 3. Calculate i(u(g)).
9*g**2 - 54
Let y = 967 + -5801/6. Let t(n) be the second derivative of -22*n + 1/4*n**4 - y*n**3 + 0 + 0*n**2. Let w(f) = -2*f**2. Determine w(t(v)).
-18*v**4 + 12*v**3 - 2*v**2
Let z(s) = 70*s**2. Let r(g) = -3*g + 0*g - 43579 + 43579. Give z(r(i)).
630*i**2
Suppose 11 = -5*f + 3*f - 5*r, 5*r = -3*f - 9. Let c(d) = 35809*d - 35809*d + 3*d**f. Let n(j) = -8*j. Let w(z) = z. Let o(y) = n(y) + 4*w(y). What is o(c(b))?
-12*b**2
Let g(s) = -2*s**2. Let x(r) = 31*r - 418*r - 506*r - 48*r. Determine x(g(l)).
1882*l**2
Let m(j) = -337*j**2. Let v(b) = 142793*b. Determine m(v(y)).
-6871376366113*y**2
Let r(v) = 261*v. Let b(m) = 12902*m. Calculate b(r(j)).
3367422*j
Let k(j) = 3*j**2 - 111*j + 1028. Let g be k(18). Let x(u) be the third derivative of 0 + 0*u**3 + 0*u + 1/8*u**4 - 15*u**g. Let w(p) = 5*p. What is x(w(q))?
15*q
Let d(x) = -2*x. Suppose 32*m - 170 = 30*m. Let r(y) = -183*y**2 - 28*y + 92*y**2 + m*y**2. Determine r(d(i)).
-24*i**2 + 56*i
Let d(y) = 53*y**2 + 39*y + 6. Let n(p) = 44*p**2 + 38*p + 5. Let a(v) = 5*d(v) - 6*n(v). Let x(o) be the third derivative of -o**5/20 + o**2. Give x(a(r)).
-3*r**4 + 198*r**3 - 3267*r**2
Let l(x) = -1994*x + 26. Let q(m) = -427*m + 2. Calculate l(q(a)).
851438*a - 3962
Let x(u) = -1727*u**2 - 59. Let k(r) = r. What is k(x(o))?
-1727*o**2 - 59
Let l(j) = -21*j**2 + 3*j - 3*j + 13*j**2. Suppose -2*x = 5*a - 18, 2*x = -0*a + 4*a. Let k(w) = 4*w**a - 14809 + 14809. Give k(l(v)).
256*v**4
Let q(c) be the second derivative of c**3/6 + 3*c. Suppose 6*a - 5*x = 67, -3*a + 0*x = x - 16. Let v(b) = 7*b - a*b + 2*b. Give q(v(k)).
2*k
Let a(h) = 357*h + 1. Let x(i) = 104*i**2 + 4*i. Determine a(x(r)).
37128*r**2 + 1428*r + 1
Let q(i) = -2*i. Let y(d) be the first derivative of -13/2*d**2 + 0*d - 33. What is q(y(g))?
26*g
Let m(x) = -12*x. Let h(i) = -9*i + 62249. Give h(m(z)).
108*z + 62249
Let s(a) be the second derivative of 0*a**2 + 0 - a + 0*a**3 - 1/6*a**4. Let b(r) = 5*r**2. Let p(g) = -2*g**2. Let n(u) = 3*b(u) + 8*p(u). Give n(s(w)).
-4*w**4
Let l(o) = -3*o. Suppose 9*j - 10 = 80. Let a(b) = -27*b**2 - 2*b + 2. Let w(d) = 55*d**2 + 5*d - 5. Let t(z) = j*a(z) + 4*w(z). What is l(t(h))?
150*h**2
Let n(w) = 3*w**2. Let q be (-196)/(-6) - -2 - 44/(-33). Suppose -v + 4*t = -q, -v - 2*v + 108 = 4*t. Let r(h) = 33 + v - 69 - 19*h**2. Give r(n(m)).
-171*m**4
Let p(w) = -w**2. Let a = 397 - 393. Let l(u) = 110*u + 3. Let d(h) = h. Let q(s) = a*d(s) + l(s). What is q(p(f))?
-114*f**2 + 3
Let k(s) = 6*s**2. Let x(m) = -7352077*m**2. Give k(x(w)).
324318217283574*w**4
Let h(y) = -514*y**2 + 1030*y**2 - 520*y**2. Let x(z) = -1 - 1 + 3*z**2 + 2. Calculate h(x(b)).
-36*b**4
Let s(r) = -2*r. Let a = 5410 - 5410. Let o(p) be the third derivative of 0*p**3 + 0*p**4 + 1/12*p**5 + a + 7*p**2 + 0*p. What is o(s(b))?
20*b**2
Let f(u) = -43*u + 1. Let k(n) = 3*n - 20918. What is f(k(v))?
-129*v + 899475
Let g(i) be the second derivative of i**6/360 - 139*i**3/6 - 149*i. Let d(j) be the second derivative of g(j). Let u(f) = 138*f. Calculate d(u(v)).
19044*v**2
Let r(y) = -y**2 + 103. Let k(g) = 165629*g. Give r(k(h)).
-27432965641*h**2 + 103
Let f(w) be the third derivative of w**4/24 + 9*w**3 + 1318*w**2. Let y(k) = -13*k. Calculate y(f(o)).
-13*o - 702
Let z(f) = -57*f**2. Let h(n) be the second derivative of 13*n**3/6 - 589*n - 4. Determine h(z(w)).
-741*w**2
Let r(g) = g. Let b(h) be the third derivative of h**4/8 + 32*h**2. Let u(c) = 6*b(c) - 22*r(c). Let q(a) = 16 + a - 16. Calculate u(q(m)).
-4*m
Let q(r) be the third derivative of -17*r**5/12 - 3*r**2. Let z(h) = -138*h + 78*h + 58*h. Give q(z(d)).
-340*d**2
Let i(s) = -19*s. Let m(o) be the first derivative of o**2/2 + 3*o + 102. Let v(w) = -20*w - 36. Let g(t) = -12*m(t) - v(t). Calculate g(i(x)).
-152*x
Let w(r) be the second derivative of 0*r**2 - 1/6*r**3 + 0 - 72*r. Let f(u) = 246*u. What is w(f(y))?
-246*y
Let a(c) = 2*c**2. Let n(z) = 997*z**2 + 919*z**2 - 20*z - 27*z + 49*z. Give n(a(h)).
7664*h**4 + 4*h**2
Let n(y) = -1. Let q(s) be the second derivative of -s**4/12 + s**2 + 50*s. Let r(o) = 2*n(o) + q(o). Let i(h) = 36*h**2. Give i(r(k)).
36*k**4
Suppose 4*d - 160 = -d. Let x = d - 30. Let u(v) = -7851*v + 7851*v + 7 - x*v**2. Let i(z) = 2*z**2. What is i(u(o))?
8*o**4 - 56*o**2 + 98
Let p(h) = 5*h. Let s(x) = -630529*x. Determine s(p(l)).
-3152645*l
Let m(d) = -3*d**2 + 7*d + 131. Let y(p) = 663*p. Calculate y(m(j)).
-1989*j**2 + 4641*j + 86853
Let l(y) = y + 21. Let d be (-6 + -6)/4 + 1 + 665. Let v(s) = 336*s + 330*s - d*s. Determine l(v(k)).
3*k + 21
Let w(l) be the second derivative of -5*l**3/3 + 3*l**2/2 - 2*l. Let o(h) = 571*h**2 + 2693 - 569*h**2 - 1344 - 1349. What is w(o(n))?
-20*n**2 + 3
Let d(r) = -4*r - 14. Let u(t) = -3*t - 28. Let g(x) = 2*d(x) - u(x). Let m(f) = -39*f**2 + 12. Determine g(m(i)).
195*i**2 - 60
Let q(n) = -2*n**2. Let h(r) = -287*r + 23470. Give h(q(b)).
574*b**2 + 23470
Let d(b) = -2*b**2. Let r = -194 - -287. Let k(w) = -22*w + 271. Let m be k(12). Let t(g) = -m*g**2 - r + 93. What is t(d(s))?
-28*s**4
Let l(y) = -21*y**2 - 3*y + 3*y. Let d(o) = 120*o + 13. Let h(s) = 129*s + 14. Let u(t) = -14*d(t) + 13*h(t). Calculate u(l(m)).
63*m**2
Let n(d) = d**2. Let v(r) = -4*r - 37. Let l be v(-12). Let s(x) = l*x - 11*x + 52*x**2 - 408*x**2. Give n(s(q)).
126736*q**4
Let j(w) be the first derivative of -6*w**2 - 1015. Let g = 7 + -5. Let v(n) = 2*n - g*n + 5*n. Determine j(v(q)).
-60*q
Let x(s) = -478448*s. Let i(b) = -867*b. Calculate x(i(r)).
414814416*r
Let h = -244 - -246. Let i(n) = 1477*n - 3*n**h - 1477*n - 2*n**2. Let x(o) be the third de