c**4
Let y(w) = 116*w. Let x(a) = 556480*a. Determine x(y(p)).
64551680*p
Let d(i) = -309*i**2 + 3771*i + 918*i**2 - 305*i**2 - 1023*i - 305*i**2. Let m(q) = -2*q**2. What is d(m(o))?
-4*o**4 - 5496*o**2
Let d(r) = 2280*r**2. Let y(n) be the second derivative of n**4/6 + 7707*n. Determine y(d(k)).
10396800*k**4
Let d(a) = 18*a**2. Let f(h) = -h. Let b(t) = -t + t - 5*t. Let u be 29110/7455 - (2 - 88/42). Let q(n) = u*b(n) - 22*f(n). Calculate d(q(r)).
72*r**2
Let p(y) = 38*y - 3. Let h(r) = 60*r + 5495. Determine p(h(n)).
2280*n + 208807
Let o(k) = 9*k**2. Let f(n) = 562*n - 1130*n + 3 - 3 + 560*n. Determine o(f(t)).
576*t**2
Let g(m) be the first derivative of -m**4/12 - 2*m - 6. Let v(p) be the first derivative of g(p). Let x(t) = -144*t**2. Give x(v(a)).
-144*a**4
Let u(v) = -1135466*v. Let k(b) = -26*b. What is k(u(z))?
29522116*z
Let w(o) be the first derivative of -o**2/2 + 8276. Let k(y) = -12717*y. Give w(k(n)).
12717*n
Let g(d) = 514*d. Let n(k) = 16*k**2 + 409. Give g(n(j)).
8224*j**2 + 210226
Let p(s) = 16506*s**2 + 9 - 9 - 16509*s**2. Let c(y) = 721*y**2. Give p(c(j)).
-1559523*j**4
Let i(v) = -18*v. Let s(d) = -1986325*d. Calculate s(i(p)).
35753850*p
Let i(b) = 460463*b**2. Let c(k) = 7*k**2. Give c(i(m)).
1484183220583*m**4
Let m(v) = 2*v + 978. Let t(x) = -73*x. What is t(m(a))?
-146*a - 71394
Let y(g) = 330676*g**2. Let w(p) = 14*p**2. What is y(w(x))?
64812496*x**4
Let f(q) be the first derivative of 8*q**2 + 1. Suppose -636*s = -639*s + 12. Let w(k) = s + 5907*k - 5905*k - 4. Calculate f(w(n)).
32*n
Let b(d) be the second derivative of -431*d**4/12 + d**2/2 + 19*d + 21. Let h(r) = -r. Calculate b(h(j)).
-431*j**2 + 1
Let j(s) = -s - 1. Let g(z) = -1. Let f(k) = -2*g(k) + 2*j(k). Let p(q) = -216*q - 139*q + 36 - 36 + 441*q. What is p(f(w))?
-172*w
Let f(p) = -2*p**2. Let i(d) be the second derivative of 31*d**4/12 - 73*d**2/2 - 1702*d. What is i(f(t))?
124*t**4 - 73
Let b(l) = -52*l - 35. Let r(g) = -2452*g. Calculate b(r(f)).
127504*f - 35
Let t(l) = -51316741*l. Let s(a) = 7*a**2. Determine s(t(r)).
18433855348027567*r**2
Let u(f) = 6789*f - 58. Let k(n) = 19*n. Give k(u(s)).
128991*s - 1102
Let b(x) = 65*x**2 + 2*x - 2*x - 2*x**2. Let g(f) = -13*f**2 - 28. Let y(c) = 11*c**2 + 24. Let u(q) = 6*g(q) + 7*y(q). Calculate b(u(s)).
63*s**4
Let a(z) = -8*z**2 + 84. Let f(p) = -p**2 + 9. Let c(m) = -3*a(m) + 28*f(m). Let d(t) = 6*t**2 + 7. What is d(c(i))?
96*i**4 + 7
Let j(w) = -289*w**2. Let i(f) = -11*f - 3. Let t(d) = 1 - 2 - 5 - 15*d + 4 - 2. Let p(q) = 4*i(q) - 3*t(q). Determine j(p(h)).
-289*h**2
Let h(d) = 2*d. Suppose -3*t + 7 = 1. Let z = 14 - 4. Let s(n) = 18*n**2 - 5*n + 5. Let p(q) = q**2 + q - 1. Let o(x) = t*s(x) + z*p(x). Determine o(h(r)).
184*r**2
Let c(w) be the second derivative of 0 + 25/3*w**3 + 17*w + w**2. Let o(l) = -l**2. Give o(c(p)).
-2500*p**2 - 200*p - 4
Let s(p) = 185*p**2. Let h(l) be the third derivative of 13*l**5/30 + l**2 - 334. What is h(s(n))?
889850*n**4
Let y(g) = -1977*g**2. Let v(q) = -70258*q + 35129*q + 35130*q. Give y(v(l)).
-1977*l**2
Let w(x) = 51*x - 100. Let i be w(2). Let g(f) = 41*f**2 + 39*f**2 - 69*f**i. Let v(b) = -9*b. Determine v(g(a)).
-99*a**2
Let f(t) = -11391655*t. Let o(d) = d. What is f(o(r))?
-11391655*r
Let c(h) be the first derivative of -4/3*h**3 - 41 + 0*h + 0*h**2. Let m(r) = -8*r. What is c(m(b))?
-256*b**2
Let o(r) = -1975*r - 200. Let w(u) = -20*u - 2. Let a(x) = o(x) - 100*w(x). Let i(q) = -40*q**2. Determine a(i(k)).
-1000*k**2
Let f(d) = 1 + 2*d**2 + 6297*d - 6297*d. Let p(v) = 3*v. Calculate f(p(m)).
18*m**2 + 1
Let u(y) = 7*y**2 + 12. Let a(r) = -333146*r**2. Give u(a(g)).
776903801212*g**4 + 12
Let b(l) = l**2. Let i(d) = -85*d + 78. Let s be i(-10). Let t(m) = 1387 + 2*m - s + 0*m. Determine b(t(z)).
4*z**2 + 1836*z + 210681
Suppose -18*u = -233 + 71. Let b(q) = 18*q - 7*q - u*q. Let r(a) = 34*a**2. Calculate b(r(p)).
68*p**2
Let m be 0 - -3 - 4 - -7. Let y(c) = -21*c + 8*c + m*c + 10*c. Let i(b) = -8*b**2. What is i(y(t))?
-72*t**2
Let f(p) = 2*p + 783174. Let w(l) = 93*l. Calculate w(f(g)).
186*g + 72835182
Let w(t) = 6*t + 2. Suppose 5*q + 18 = -4*i, -3*i = -2*i + 3*q + 8. Let u(b) = -2*b + 1. Let x(c) = i*u(c) + w(c). Let j(o) = -10*o. Calculate x(j(y)).
-100*y
Let r(t) = 88961*t + 1. Let w(m) = -4*m. Determine w(r(c)).
-355844*c - 4
Let k(h) = -242*h**2 + h. Let r(q) = 2159661*q. Determine r(k(y)).
-522637962*y**2 + 2159661*y
Let c(x) = 31549*x**2. Let m(s) = 9*s. Give m(c(q)).
283941*q**2
Let f(d) = -2*d**2. Let w(s) = 23669*s + 370*s**2 - 3 - 23669*s + 3. Give f(w(v)).
-273800*v**4
Let s(x) = 4*x. Let w(g) = -12659549*g. Calculate w(s(f)).
-50638196*f
Let n(m) = 4*m**2. Let t(i) be the second derivative of 5*i**3/6 + 31*i + 6. What is t(n(o))?
20*o**2
Let n(f) = -9*f**2. Let b(v) = 1031365*v**2. What is n(b(s))?
-9573423869025*s**4
Let b(u) = -9*u. Let v(m) = 2*m**2 - 12*m - 11. Let g be v(7). Let c(n) = -33*n - 8. Let a(q) = 12*q + 3. Let f(l) = g*c(l) + 8*a(l). Calculate b(f(d)).
27*d
Let l(f) = 69788*f. Let j(v) = 36*v - 18. Give j(l(b)).
2512368*b - 18
Let s(l) = 4*l. Suppose 57*z - 7 - 58 = 106. Let u(y) be the second derivative of 0*y**2 + 31*y + 0 + 0*y**z - 1/4*y**4. Calculate s(u(x)).
-12*x**2
Let z(s) = 2658981*s. Let i(a) = 53*a. Determine z(i(t)).
140925993*t
Let p(s) be the third derivative of -s**6/720 + 47*s**4/24 - 138*s**2. Let f(d) be the second derivative of p(d). Let o(a) = -21*a. What is o(f(y))?
21*y
Let q(k) = -5*k**2 - 2*k - 3. Let f(c) = -26*c - 2 + 50*c - 4*c**2 - 27*c. Let x(j) = 2*f(j) - 3*q(j). Let b(a) = 2*a**2. What is x(b(m))?
28*m**4 + 5
Let u(a) = 121*a**2. Let h(b) = 36*b**2 - 3*b + 3. Let c(r) = 155*r**2 - 13*r + 13. Let z(w) = -3*c(w) + 13*h(w). Calculate z(u(p)).
43923*p**4
Let w(h) = 171*h**2 + 2. Let f(z) = -22*z - 2*z**2 + 0*z**2 - 12*z + 34*z. What is f(w(j))?
-58482*j**4 - 1368*j**2 - 8
Let p(i) = -2*i**2. Let q(d) = 21*d + 1. Let g(x) = -x + 1. Let s be 2/((-42)/28*8/6). Let u(c) = s*q(c) + 3*g(c). Determine p(u(y)).
-1152*y**2 + 192*y - 8
Let p(d) = -2*d. Let m(s) = -991*s**2 - s + s + 435*s**2. Give p(m(u)).
1112*u**2
Let t(r) be the third derivative of -47*r**5/12 + 34*r**2 - 5*r. Let i(f) = -27*f. Determine t(i(v)).
-171315*v**2
Let k(v) = -2*v**2 - 128247. Let j(i) = 2*i + 41. Calculate k(j(n)).
-8*n**2 - 328*n - 131609
Let p(m) = -18*m**2. Let x(h) = 0 - 23*h - 2 - 19*h - 12. Let i be x(-3). Let f(r) = 112 - i - r. What is f(p(n))?
18*n**2
Let s(l) = 48447*l - 96884*l + 48447*l. Let p(t) = t + 4*t - t. Determine s(p(y)).
40*y
Let w(d) = 4*d + 790. Let j(c) = 9*c + 1847. Let a(p) = 3*j(p) - 7*w(p). Let x(y) = -243*y**2. What is x(a(l))?
-243*l**2 + 5346*l - 29403
Suppose 2*w + y - 2857 = 0, 3*w - 4291 = 3*y + y. Let o(g) = g - 1429 + w. Let k(s) be the third derivative of -5*s**4/12 - 100*s**2. Calculate k(o(a)).
-10*a
Let p(x) = 11*x - 2. Let k(w) = 5*w - 1. Let v(g) = -2*k(g) + p(g). Let s(l) be the third derivative of -l**2 + 0*l**3 + 0*l + 0 - 1/8*l**4. Give s(v(m)).
-3*m
Let i(w) = w**2. Let l(d) = d**3 - 6*d**2 - d - 8. Let h be l(7). Let k = -32 + h. Let a(r) = -11 + 22*r**k + 11 - 4*r**2. What is a(i(f))?
18*f**4
Let t(a) = 31392*a**2 - 14*a. Let z(s) = -16*s. What is t(z(m))?
8036352*m**2 + 224*m
Let h(w) be the first derivative of -w**4/8 + w**2 + 29. Let j(m) be the second derivative of h(m). Let g(x) = 14*x. Calculate g(j(n)).
-42*n
Let z(h) = -124*h**2 + 2. Let l(b) be the third derivative of -b**7/2520 - 119*b**5/60 + b**2 + 7*b. Let i(t) be the third derivative of l(t). What is z(i(o))?
-496*o**2 + 2
Let y(z) = 10348*z. Let n(p) = -440*p**2 + p. Determine n(y(m)).
-47115685760*m**2 + 10348*m
Let z(l) = 187*l**2. Let v(h) be the third derivative of 17*h**5/60 + 321*h**2 + 1. Give z(v(m)).
54043*m**4
Let g(q) be the second derivative of 0*q**2 + 0 - 78*q - 1/3*q**3. Let d(k) = -425*k**2. Calculate g(d(y)).
850*y**2
Let u(g) = -130*g - 174*g + 142*g. Let l(z) = 2*z. Give u(l(a)).
-324*a
Let f(b) = -b. Let r(a) = -a**2 + a - 2. Let i(h) = -651*h**2 + 372*h - 744. Let n(t) = 5*i(t) - 1860*r(t). Calculate f(n(c)).
1395*c**2
Let c(a) = -19*a**2. Let t(r) = -90640*r**2 - 825. Let u(p) = -220*p**2 - 2. Let l(j) = -2*t(j) + 825*u(j). Give c(l(s)).
-919600*s**4
Let r(f) = -2*f. Let x be (3