01
Let j(u) = u. Let v(p) = 8478987*p**2 + 3*p. Determine v(j(h)).
8478987*h**2 + 3*h
Let m(u) = 76*u. Let t(i) = 42*i**2 + 11*i - 1. Determine m(t(n)).
3192*n**2 + 836*n - 76
Let l(p) = 1153*p. Let i(v) = -2*v**2 + 108596*v. Determine i(l(w)).
-2658818*w**2 + 125211188*w
Let i(q) = 31*q - 10. Let j(k) = 18*k - 6. Let s(t) = -3*i(t) + 5*j(t). Let g(y) = 4*y - 40. Give g(s(u)).
-12*u - 40
Let s(j) = -386922*j**2 + 386914*j**2 + 4 - 3. Let o(p) = 5*p + 4*p - 5*p. Determine s(o(y)).
-128*y**2 + 1
Let c(i) = 12*i**2. Let y(t) = t**3 + 2*t**2 - t. Let d be y(-2). Let a(q) be the second derivative of -7*q + 0 - 1/3*q**3 + 0*q**d. Give c(a(g)).
48*g**2
Let s(w) = -68*w**2 - 46*w - 161. Let v(x) = -3*x**2 - 2*x - 7. Let k(i) = 2*s(i) - 46*v(i). Let a(f) = -f**2 - 18*f**2 - 9*f**2. Give a(k(y)).
-112*y**4
Let k(a) = 24*a. Let p(g) be the first derivative of g**3/6 - 69*g + 47. Let o(u) be the first derivative of p(u). Determine k(o(n)).
24*n
Let l(c) be the second derivative of -3*c**3/2 + 29*c + 8. Let k(u) = -5*u**2 - 7*u. Determine l(k(x)).
45*x**2 + 63*x
Let u(n) = 10*n**2. Let g(d) = -31545*d. What is u(g(b))?
9950870250*b**2
Let m(s) = s. Let t(z) = -2547500*z**2 + 9171*z - 3057. Let u(p) = 4166*p**2 - 15*p + 5. Let b(j) = -5*t(j) - 3057*u(j). Determine b(m(h)).
2038*h**2
Let k(y) be the first derivative of -y**2 + 1. Let l(h) = 3959*h + 3949*h + 7*h**2 - 7908*h. What is k(l(g))?
-14*g**2
Let q(p) = 5*p + p**2 - 25322 + 25322. Let u(x) be the first derivative of x**3/3 - 53. Give q(u(k)).
k**4 + 5*k**2
Let w(j) be the first derivative of 6115*j**3/3 - 5304. Let k(h) = h**2. Calculate k(w(s)).
37393225*s**4
Let a(b) be the second derivative of 103*b**3/6 - 2313*b - 3. Let t(v) = 6*v**2. Give t(a(x)).
63654*x**2
Let z(j) = 7*j - 130. Let o(q) = -57*q - 8*q + 67*q. What is z(o(g))?
14*g - 130
Let i(p) = -86*p - 91*p - 100*p + 278*p. Let c(v) = 551*v**2. What is i(c(t))?
551*t**2
Let m(u) = 18*u + 1. Let p(o) = 3063*o + 3058*o + 3070*o - 9204*o. What is p(m(k))?
-234*k - 13
Let u(w) = 25*w**2. Suppose -8*k + 12*k = 8. Let z(n) = 2*n**2 + 0*n**2 + n**2 + 0*n**k. Calculate u(z(t)).
225*t**4
Let s(d) = d. Let i(q) = 509*q**2 - 3*q + 692*q**2 - 138*q**2 + 3*q. What is s(i(g))?
1063*g**2
Let c(f) = 2*f - 10. Let t(s) = 1435*s + 1567*s - 3004*s. What is t(c(q))?
-4*q + 20
Let k(l) = -7*l - 2. Let b(f) = -1134*f - 378. Let m(y) = -b(y) + 189*k(y). Let i(d) = 14*d. What is m(i(p))?
-2646*p
Let k(l) = 2*l**2 - 196*l - 17683. Let g(v) = -7*v. Give g(k(y)).
-14*y**2 + 1372*y + 123781
Let o(s) = 42934*s. Let z(k) = -23*k**2. Calculate o(z(a)).
-987482*a**2
Let g(k) = 8*k. Let a(n) be the second derivative of 9*n**3/2 + 188*n. Give a(g(p)).
216*p
Let p(d) = 4*d. Let z(a) = -47*a - 81. Let y(f) = 39*f + 83. Let b(l) = 6*y(l) + 5*z(l). Calculate b(p(v)).
-4*v + 93
Let v(z) = -24*z - 2. Let i(j) = 5*j**2 + j**2 + 48*j - 48*j + 18*j**2. Calculate v(i(a)).
-576*a**2 - 2
Let l(j) = j**2. Let g(o) = 2*o - 10. Let x be g(2). Let c(h) = 2*h**3 + 13*h**2 + 8*h + 12. Let k be c(x). Let p(u) = k*u - 3*u + u - 2*u. What is l(p(w))?
16*w**2
Let q(c) = -5*c. Suppose 0 = 9*d - 14*d + 10. Let m(g) = -21*g - d*g + 10*g. Give m(q(i)).
65*i
Let d(j) = -1469932*j. Let x(o) = 2*o + 2. Calculate d(x(t)).
-2939864*t - 2939864
Let g(i) = -3*i**2. Let d(s) = s**2 - 21*s + 55. Let m be d(18). Let f(j) = 8*j**2 - 8*j. Let t(u) = u**2 - 2*u. Let h(z) = m*f(z) - 4*t(z). What is h(g(n))?
36*n**4
Let y(t) = 76*t. Let q(s) = 11*s**2 + 5*s + 170. Let d(u) = -13*u**2 - 6*u - 195. Let f(a) = 5*d(a) + 6*q(a). Determine f(y(j)).
5776*j**2 + 45
Suppose y - 15 = 5*a, 3*a + 2 = -2*y - 20. Let d be 149/6 - y/30. Let v(o) = -25 - 3*o + 0*o + d. Let n(q) = -9*q**2. Calculate n(v(c)).
-81*c**2
Let w(f) be the second derivative of 5*f**2 + 73 + 7/6*f**3 - 2*f. Let s(p) = -p**2. Give s(w(d)).
-49*d**2 - 140*d - 100
Let b(k) = 3*k + 13. Let l(f) = 1031*f - 1031*f + 52*f**2 - 14*f**2. What is b(l(v))?
114*v**2 + 13
Let k(t) be the third derivative of t**5/30 + 42*t**2 + 161*t. Let i(g) = -g. Let d(o) = -180*o. Let q(r) = -d(r) + 90*i(r). Calculate k(q(y)).
16200*y**2
Suppose 4*i = -2*j - 0*i + 78, 0 = j - 2*i - 51. Let n(l) = 16 + 9 - j + l**2. Let b(g) = 2*g**2. Determine b(n(w)).
2*w**4 - 80*w**2 + 800
Let h(f) = -24*f**2. Let j(d) = 5772 + 26*d - 5772 + 13*d. Give h(j(n)).
-36504*n**2
Let g(y) = -68*y + 2. Let w(c) = -82*c + 325. Give w(g(l)).
5576*l + 161
Let v(s) = -3*s**2 + 37. Let n(j) = -102878*j. What is n(v(i))?
308634*i**2 - 3806486
Let y(i) = -i**2 + 161. Let z(r) = 34*r + 1. Let l(m) = -2629*m - 77. Let t(w) = l(w) + 77*z(w). What is y(t(q))?
-121*q**2 + 161
Let h(z) = 10455*z**2 - 5414*z**2 - 5271*z**2. Let p(a) = -2*a**2. Determine p(h(c)).
-105800*c**4
Let n(g) be the first derivative of -g**2/2 - 143. Let c(u) = -14*u - 14. Let x(t) = -26*t - 29. Let o(a) = 11*c(a) - 6*x(a). Give o(n(y)).
-2*y + 20
Suppose 5*r - 466 = -2*c, -c - 3*c = 4*r - 932. Let l(n) = -470*n + c*n + 239*n. Let h(q) be the first derivative of -4*q**2 - 2. Determine l(h(g)).
-16*g
Let g(c) = -5*c**2. Let v(p) = -29*p - 12. Suppose 4*x - 5*l = 22, -12 + 6 = -4*x - 3*l. Let w(a) = 58*a + 20. Let o(n) = x*w(n) + 5*v(n). Give g(o(h)).
-4205*h**2
Let z(c) = 14*c**2 - 6*c. Let o(g) = -g**3 - 1. Let q be o(-2). Let j(x) = 16*x**2 - 7*x. Let s(w) = q*z(w) - 6*j(w). Let u(p) = -35*p**2. What is s(u(i))?
2450*i**4
Let t(r) = -5 + 11 - 3*r**3 + 10. Let j(c) = -8*c**3 + 48. Let p(o) = 4*j(o) - 11*t(o). Let l(a) be the first derivative of p(a). Let i(k) = k. Give i(l(v)).
3*v**2
Let r be 2*1/3*3. Let n(x) = -5*x**2 - 11 + 6*x**r + 11. Let u(h) be the second derivative of 31*h**3/6 + 320*h. Determine u(n(b)).
31*b**2
Let d(x) = -2*x**2. Let a be 14 + -10 - (1 - 0). Suppose -2*m - 3*l = -49 - 24, a*m + 4*l = 108. Let t(s) = 6*s + s - m*s. Give t(d(n)).
50*n**2
Let m(n) = 7*n - 122. Let x(g) = 31*g - 549. Let y(f) = 9*m(f) - 2*x(f). Let a(k) = -1. Let i(r) = 5*r - 8. Let b(j) = -4*a(j) - i(j). Determine y(b(z)).
-5*z + 12
Let w(b) = -25*b - 8. Suppose -5*g + 8 = -3*a, a = -g + 2*a. Let m(j) = 225*j + 70. Let r(s) = g*m(s) + 35*w(s). Let v(l) = -4*l. Calculate v(r(h)).
-100*h
Let f(c) = 4*c**2 + 0 + 0. Let h(p) be the first derivative of 4*p**3/3 + 2874. Calculate f(h(w)).
64*w**4
Let v(y) be the first derivative of 2/3*y**3 + 0*y**2 + 0*y - 20. Let x(l) = 55*l. Let j(s) = -14*s. Let c(m) = -15*j(m) - 4*x(m). What is v(c(w))?
200*w**2
Let v(i) = i**3 - 3*i**2 + 2*i - 7. Let g be v(4). Let u(r) = -g*r + 340 - 340. Let p(w) = -5 + w + 8 - 3. Determine p(u(c)).
-17*c
Let x(g) = g. Suppose 0*c + 30 = 4*c + v, -10 = -5*v. Let k be (-1 + 3)*(207096/48 + -12). Let j(b) = -8605 + k - c*b**2. Give x(j(h)).
-7*h**2
Let z(c) = 19*c**2. Suppose 7*i = 16*i - 765. Let k(y) = i*y - 171*y + 90*y. Give z(k(n)).
304*n**2
Let j(p) = 5*p**2. Let k(r) = 242398 + 864*r - 242398. Calculate j(k(a)).
3732480*a**2
Let t(o) = -2*o**2. Let p(h) = -3327*h**2 + 6623*h**2 - 3525*h**2. What is p(t(v))?
-916*v**4
Let l(m) = -27*m**2. Let b(u) = 89*u - 10. Let h(y) = 44*y - 6. Let s(c) = -3*b(c) + 5*h(c). What is s(l(k))?
1269*k**2
Let j(g) = -g - 2. Let f(i) = 10*i + 3*i + 5 - 4*i - 1 - 11*i. Let l(z) = -f(z) - 2*j(z). Let p(d) = -d**2 + 4*d**2 - 2*d**2. Calculate l(p(x)).
4*x**2
Suppose 14*t - 993 = -16*t - 63. Let d(q) be the second derivative of -t*q + 0*q**2 - 5/12*q**4 + 4/3*q**3 + 0. Let h(k) = -k**2. What is d(h(p))?
-5*p**4 - 8*p**2
Suppose 10 = 4*p - 3*p. Let i(f) = -p*f**2 - 121*f + 121*f. Let j(r) = 186 + 3*r**2 - 186. What is i(j(s))?
-90*s**4
Let p(q) = 4420*q**2. Let u(g) = 2*g - 6. Let k(m) = 7*m - 22. Let a(c) = -6*k(c) + 22*u(c). Determine p(a(x)).
17680*x**2
Let k(w) = -5002*w. Let v(y) = -5*y**2 - 136*y. Determine v(k(o)).
-125100020*o**2 + 680272*o
Let w(i) be the first derivative of -2*i**3/3 - 155. Let r(f) = 2429*f. Calculate w(r(u)).
-11800082*u**2
Let b be (-24)/21 + 220/70. Let c(j) = -17*j**2 + 9*j**2 + 3*j**b + 8*j**2. Let a(p) = -4*p**2. Give a(c(r)).
-36*r**4
Suppose k + x - 1 = 0, -3*k = -5*k - x + 3. Let n be 4*1/4 + k. Let h(m) = 5*m - n*m - 3*m. Let i(b) = 5*b**2. What is i(h(q))?
5*q**2
Let r(g) = -3 + 13 + 11*g - 51*g - 8. Let k(x) = 198*x - 11. Let p(s) = 2*k(s) + 11*r(s). Let v(a) = a. Give p(v(l)).
-44*l
Let n(h) be the second der