17817*z. Let r(h) = -2846*h. Determine r(y(k)).
50707182*k
Let m(d) = -753*d**2 + 400*d**2 + 355*d**2. Let c(r) = -r - 91. What is m(c(o))?
2*o**2 + 364*o + 16562
Suppose 4*t - 101*f - 10 = -96*f, -5*f = -t + 10. Let k(h) be the second derivative of 3*h - 1/6*h**3 + 0 + t*h**2. Let n(m) = -22*m**2. Determine k(n(c)).
22*c**2
Let k(d) = 29*d - 29. Let j(t) = -1. Let m(f) = 29*j(f) - k(f). Let w(g) be the third derivative of -g**5/30 + 864*g**2 + 2. Give w(m(y)).
-1682*y**2
Let a(o) = 4072231*o**2. Let x(w) = 3*w**2. Calculate a(x(r)).
36650079*r**4
Let b(y) = -96*y. Let q(l) be the third derivative of 17*l**4/24 + 567*l**2. Calculate b(q(s)).
-1632*s
Let h(c) = 12*c. Let m(j) = 2505693*j. What is m(h(p))?
30068316*p
Let h(i) = -161*i. Let o(s) = 2*s. Let k(l) = 2*h(l) + 154*o(l). Let n(g) = -4*g**2 + 5*g. Calculate n(k(v)).
-784*v**2 - 70*v
Let t(c) = 2*c**2. Let u = -451 - -453. Let g(b) = 373 - 266 - u*b + 2*b - b. Calculate g(t(r)).
-2*r**2 + 107
Let s(i) = -13628999 - i + 13628999. Let j(w) = 866*w. Calculate s(j(o)).
-866*o
Suppose 3*i = -2*i. Suppose 0*a - 12*a + 48 = i. Let z(q) = -a*q + 17*q - 14*q + 15*q. Let l(p) = 4*p. Calculate z(l(u)).
56*u
Let o(r) = 2*r. Let s be ((-228)/133)/((2/(-7))/1). Let j(d) = 25*d**2. Let a(v) = -73*v**2. Let u(p) = s*a(p) + 17*j(p). Give u(o(q)).
-52*q**2
Let i(d) = -106*d**2 - 5*d + 5. Let y(q) = -764*q**2 - 36*q + 36. Let m(g) = -36*i(g) + 5*y(g). Let v(w) = -3*w**2 - 86. Give v(m(u)).
-48*u**4 - 86
Let l(t) = 2*t. Let a(z) = 780408102*z**2. What is l(a(b))?
1560816204*b**2
Let q(f) = 31*f**2 - 2*f. Let d(m) be the first derivative of m**5/20 + 43*m**2/2 - 5*m + 212. Let u(i) be the second derivative of d(i). Give u(q(s)).
2883*s**4 - 372*s**3 + 12*s**2
Let z(a) be the first derivative of 9*a**2/2 + 16*a - 5394. Let v(k) = k. Determine z(v(t)).
9*t + 16
Let n(t) = -8233*t**2. Let v(c) = 5053*c. Determine v(n(m)).
-41601349*m**2
Let h(l) be the third derivative of -l**5/120 - 97*l**3/6 + 94*l**2. Let t(z) be the first derivative of h(z). Let m(q) = 52*q + 1. Calculate m(t(s)).
-52*s + 1
Suppose 13*z - 10*z = 6. Let i(v) = -15 + 12*v**z - v**2 + 15. Let k(m) = 6*m - 18*m + 11*m. What is k(i(c))?
-11*c**2
Let g(n) = 4*n**2. Let x(w) = 93*w**2 - 20. What is g(x(s))?
34596*s**4 - 14880*s**2 + 1600
Let i(a) = 2*a. Let z be (-1 + 2)*-2 + 4. Let v(n) = 2*n**2 - 4*n + 3. Let y be v(z). Let x(d) = -12*d + y*d + 12*d. What is i(x(k))?
6*k
Let p(r) = 28*r. Suppose 0 = -9*b - b + 290. Suppose 0*i = -5*i + h + 27, b = 5*i - 2*h. Let d(o) = i*o - 7*o + 0*o. What is p(d(j))?
-56*j
Let k(a) = 4*a + 8*a + a - 8*a. Let h(r) = -6*r**2 - 3*r. Determine h(k(g)).
-150*g**2 - 15*g
Let a(d) be the third derivative of 2*d**5/15 + 3*d**2. Let r(n) be the third derivative of -13*n**4/24 + 7249*n**2 + 2*n. What is a(r(g))?
1352*g**2
Let w(h) = -125485*h - 64. Let s(g) = -g**2. Give w(s(f)).
125485*f**2 - 64
Let y(w) be the third derivative of -19*w**5/120 - 137*w**3/6 - 2*w**2 + 22. Let v(k) be the first derivative of y(k). Let o(q) = 2*q. Give o(v(b)).
-38*b
Suppose -5*g - 4 = -99. Let m(j) = 19 - 3*j**2 + g*j**2 - 15. Let u(c) = -2*c. Give m(u(z)).
64*z**2 + 4
Let z(q) = 144768928*q - 144768928*q + 49*q**2. Let y(b) = 3*b + 28. Give y(z(v)).
147*v**2 + 28
Let c(m) = 607946*m. Let i(k) = -13*k. What is c(i(l))?
-7903298*l
Let l(z) = 10*z - 67. Let h be l(7). Let q(t) = -h - 1609*t + 1627*t + 3. Let n(s) = 2*s. What is n(q(a))?
36*a
Let l be 0/(-3*56/42). Suppose t + 5*z = 0, 3*t = z + 21 + 11. Let f(i) = l*i - 11*i + t*i. Let x(y) = -11*y**2. Determine f(x(b)).
11*b**2
Let l(v) = 3*v + 0*v - 2*v. Let y(q) be the second derivative of -153*q**4/4 - 40632*q - 1. Give y(l(r)).
-459*r**2
Let t(i) = -4*i**2. Suppose -3*x = -4*x - 6. Let c(w) = 11*w - 17. Let j(a) = -3*a + 5*a + 2370 + 0*a - 2373. Let h(d) = x*c(d) + 34*j(d). What is h(t(b))?
-8*b**2
Let m(o) = 17*o - 17*o - 807 + 807 + 2*o**2. Let g(h) = 6*h**2. Give m(g(w)).
72*w**4
Let g(p) = -p**2 + p - 17. Let s(v) = -26*v**2 + 10*v + 51. Let n(u) = 3*g(u) + s(u). Let j(r) = -r. Determine n(j(m)).
-29*m**2 - 13*m
Let j(l) be the second derivative of 0*l**2 - 19/6*l**3 - 4*l - 5. Let p(x) = -10*x**2. Determine j(p(h)).
190*h**2
Let p(f) = f**2. Let r(y) = y - 1. Let g(m) = 65*m - 4. Let k(j) = -2*j**3 - 14*j**2 + 17*j + 7. Let n be k(-8). Let a(v) = n*g(v) + 4*r(v). What is a(p(b))?
-61*b**2
Let z(d) = 10*d**2 - 5*d. Let n(f) be the first derivative of 9 + 0*f + 1/2*f**2 - 1/3*f**3. Let t(g) = -20*n(g) - 4*z(g). Let a(i) = -i. Give t(a(m)).
-20*m**2
Let a(j) = -2*j**2 + 4*j**2 - j**2. Let n(d) = 136*d - 415. Let q(b) = 93*b - 283. Let y(p) = 15*n(p) - 22*q(p). Give a(y(f)).
36*f**2 - 12*f + 1
Let f(w) = -w**2. Let i(z) = -z + 7196682. What is i(f(x))?
x**2 + 7196682
Let x(b) = -13*b. Let u(l) = 18562*l**2 - 12*l. What is x(u(a))?
-241306*a**2 + 156*a
Let r(a) = 2*a - 11502. Let h(g) = -4821*g**2 + 2*g. Determine r(h(u)).
-9642*u**2 + 4*u - 11502
Let c(t) = -55*t. Let d(o) = 1381*o - 84. What is d(c(j))?
-75955*j - 84
Let b(p) = 54*p + 9. Let v(s) = -107*s - 47 + 59 - 33. Let n(w) = -14*b(w) - 6*v(w). Let a(r) = r**2. Calculate a(n(o)).
12996*o**2
Let j(n) = 147 + 2*n + 284 - 431. Let o(a) = -18921*a**2. What is o(j(i))?
-75684*i**2
Let x(m) = 29*m**2. Let z(i) be the third derivative of -i**5/20 - i**3/6 - 23*i**2 - 10. Give z(x(d)).
-2523*d**4 - 1
Let u(h) = -24*h - 33. Let b(d) = -4*d - 6. Let v(n) = 22*b(n) - 4*u(n). Let f(y) = y**2 + 2*y. What is f(v(c))?
64*c**2 + 16*c
Let z(k) = 91*k - 6. Let i(p) = -121*p + 8. Let u(o) = -3*i(o) - 4*z(o). Let w(s) = -1798*s - 1. Determine u(w(n)).
1798*n + 1
Suppose 0 = -h + 3*j + 1712, -2*h + 3433 = 7*j - 10*j. Let o(r) = 2 + h*r - 1719*r - 2. Let s(g) = -2*g**2 - 54. Give s(o(q)).
-8*q**2 - 54
Let k(u) = -2*u. Suppose -4*j - 4*b = -8*j + 60, 4*b - 16 = 0. Let o(z) = 65 - 65 - j*z. What is o(k(r))?
38*r
Let o(t) = -2*t**2 + 2. Let g(l) = -7*l**2 + 10. Let r(y) = -g(y) + 5*o(y). Let d(z) be the first derivative of 38*z**3/3 - 3. What is d(r(v))?
342*v**4
Let d = 163 - 146. Let g(l) = 12*l**2 - d*l + 17*l - 9*l**2. Let a(c) = c**2 - 11*c. Give g(a(r)).
3*r**4 - 66*r**3 + 363*r**2
Let f(o) = -17*o**2 + 19*o**2 + 20*o**2. Let z be (-1)/(-3) - -1 - 33/(-9). Let h(u) = 10*u - 4*u - z*u. Give h(f(c)).
22*c**2
Let l(y) = -13*y - 828. Let p(b) = -2*b**2 - 52*b. Determine p(l(c)).
-338*c**2 - 42380*c - 1328112
Let o(m) = 203*m. Let r(h) = -11*h - 32*h + 87*h - 36*h. Calculate r(o(g)).
1624*g
Let g = 1 + 1. Let u(b) = 0*b**2 - 8*b**g + b**2. Let f(c) = -292*c + 24. Let s(i) = 341*i - 28. Let y(d) = 7*f(d) + 6*s(d). Give y(u(x)).
-14*x**2
Let y(q) = -5*q + 9. Let f(b) = 16*b - 24. Suppose -36*s + 160 = -16*s. Let t(h) = s*y(h) + 3*f(h). Let d(w) = 15*w. What is t(d(r))?
120*r
Let j(m) = -5*m + 209. Let y(p) = 68*p - 9. Let w(r) = 90*r - 12. Let h(s) = -3*w(s) + 4*y(s). Determine j(h(v)).
-10*v + 209
Let p(m) = -67*m. Let l be ((-17)/119)/((-3)/42). Let v(q) = -l*q**2 - 106949*q + 106949*q. Determine p(v(h)).
134*h**2
Let s(f) = -430*f**2 - 1005*f. Let o(r) = -2*r**2. Determine s(o(t)).
-1720*t**4 + 2010*t**2
Let r(x) = -1 + 37*x - 37*x + 82*x**2 - 27*x**2. Let y(t) = 14*t. Give y(r(v)).
770*v**2 - 14
Let n(z) = 5*z**2. Let j(o) = 5*o**2 - 3*o + 2. Let q(w) = 1381*w**2 - 12*w + 8. Let l(d) = -4*j(d) + q(d). Calculate l(n(p)).
34025*p**4
Suppose -1234569 = 485*p - 492*p. Let b(y) = y + 176367 - p. Let d(l) = 61*l**2. Determine d(b(c)).
61*c**2
Let g(s) = 15*s + 11. Let o(n) = 5*n + 4. Let y(d) = -4*g(d) + 11*o(d). Let r(j) be the first derivative of 11*j**2 - 2*j - 5923. What is r(y(t))?
-110*t - 2
Let j(h) = 519292*h + 2. Let z(p) = 2*p. Give j(z(k)).
1038584*k + 2
Let j = 22 - 13. Let w(u) = -2*u - j*u**2 + 3*u - u. Let z(y) = -8856 - y - y + 8856. Calculate w(z(f)).
-36*f**2
Let c(l) = -21*l**2. Let f(g) be the third derivative of 0 + 0*g**3 + 0*g**4 + 7/60*g**5 - 3*g**2 + 2*g. What is f(c(b))?
3087*b**4
Let n(b) = -132*b**2 + 2. Let p(a) = -13*a + 106. Give p(n(d)).
1716*d**2 + 80
Let o(h) = -1 - 4 + 1 - 1 + 2*h. Let k(b) = -1. Let x(q) = -5*k(q) + o(q). Let i(d) be the first derivative of 12*d**3 - 2. Give x(i(r)).
72*r**2
Let r(z) = -6*z**2. Let l(x) = 14*x - 21*x - x - 13 - 28. Determine l(r(u)).
48*u**2 - 41
Let q(d) be the third derivative o