2
Let h(k) = 43*k + 43*k + 19*k + 6*k - 69*k. Let t(b) be the second derivative of -4*b + 0*b**2 + 0 - 1/6*b**3. Determine h(t(s)).
-42*s
Suppose -4*u = -d + 6, 2*d + 3*d + 4*u - 6 = 0. Let o(m) = 0 + 143*m**2 + 0 - 126*m**d. Let w(f) = 3*f**2 + f**2 - 3*f**2. What is o(w(h))?
17*h**4
Let w(s) = -30854*s**2. Let b(y) = -92*y. Determine b(w(t)).
2838568*t**2
Let p(h) = 161*h - 466. Let t(r) = -3*r**2. What is p(t(q))?
-483*q**2 - 466
Let u(p) = 625*p - 8. Let m(f) = -1875*f + 28. Let q(c) = 2*m(c) + 7*u(c). Let d(r) = -4*r. What is d(q(x))?
-2500*x
Let c(d) = -12*d. Let j(r) be the third derivative of 0*r**4 + 0*r**3 - 32*r**2 - 1/20*r**5 + 0 + r. What is c(j(v))?
36*v**2
Let m(f) = 410*f**2 + 60*f. Let c(l) = 2*l - 9893. Calculate c(m(y)).
820*y**2 + 120*y - 9893
Let o(p) = -3*p**2. Let r be (0/(-54))/(2 - 2 - -2). Let i(f) be the second derivative of 9/4*f**4 + r + 0*f**3 - 11*f + 0*f**2. What is o(i(b))?
-2187*b**4
Let j(a) = -4*a**2. Let r(u) be the second derivative of 0*u**2 - 5*u + 1/4*u**4 + 0*u**3 + 2. Calculate r(j(x)).
48*x**4
Let l(a) = 3*a. Let j(o) = -2*o**2 + o - 1. Let d(t) = 531*t**2 - 5*t + 5. Let h(v) = d(v) + 5*j(v). Give h(l(u)).
4689*u**2
Let s(r) = -195303*r**2. Let f(y) = -48*y. What is f(s(g))?
9374544*g**2
Let n(v) = 39*v**2 - 51. Let x(t) = 100436*t**2. Calculate n(x(h)).
393408213744*h**4 - 51
Let d(s) = s**2 + 1. Let v(b) = -506*b**2 + 11. Let u(j) = -33*d(j) + 3*v(j). Let h(k) = -k. Determine u(h(g)).
-1551*g**2
Let r(t) = -9*t**2 + 1166*t + 68. Let k(v) = -5*v**2. Determine r(k(x)).
-225*x**4 - 5830*x**2 + 68
Let g(t) = 2*t**2. Let w(u) = -30172*u**2 - 4747. Give w(g(v)).
-120688*v**4 - 4747
Let d(a) = -a - 35. Let s(w) = -w - 11*w - 8*w + 18*w. Give d(s(k)).
2*k - 35
Let i(a) = 65*a. Suppose 6 = -3*l, 4*r - 2*l - 16 = 2*r. Let g(n) = -n**2 + 6*n. Let x(j) = 2*j. Let c(s) = r*x(s) - 2*g(s). Calculate i(c(u)).
130*u**2
Let a(h) = 3*h - 1. Let t(j) = 16*j**2 + 12*j + 12. Let y(i) = 31*i**2 + 22*i + 22. Let o(l) = -11*t(l) + 6*y(l). Determine a(o(x)).
30*x**2 - 1
Let m(l) = -l**2 - 197*l. Let a(y) = -995867*y. Determine a(m(r)).
995867*r**2 + 196185799*r
Let u(r) be the first derivative of -14*r**3/3 - 3717. Let m(h) = -166*h. Give u(m(t)).
-385784*t**2
Let y(w) = 7*w. Suppose 0 = r - 18 + 12. Let s(j) = -375*j**2 + 385*j**2 + r - 6. Calculate s(y(l)).
490*l**2
Let k(b) = -4*b**2 + 25*b - 21. Let n be k(1). Let g(u) be the first derivative of n*u**2 + 5/3*u**3 + 16 + 0*u. Let p(c) = -3*c**2. Determine g(p(d)).
45*d**4
Let m(c) = -778395*c. Let h(w) = 9*w**2. Determine h(m(x)).
5453088984225*x**2
Let f(a) = 4*a**2. Let g(t) = -5*t**3 + t**2 - 2*t - 1. Let q be g(-1). Let x be 1/q + (-174528)/(-168). Let j(z) = -x*z + 1039*z - 25*z**2. Calculate j(f(n)).
-400*n**4
Let i(n) = -8*n. Let r(m) = 2*m. Let o(v) = -2*i(v) - 7*r(v). Let p(y) = 16*y**2 - y. Determine p(o(t)).
64*t**2 - 2*t
Let k(f) = -21*f. Let h(l) be the second derivative of -3*l**2 - 5/6*l**3 + 9*l + 0. Let s(y) = 14*y + 17. Let t(c) = -17*h(c) - 6*s(c). Determine t(k(r)).
-21*r
Let p(h) = -h. Let v be (-4)/20 + 1328/40. Let y(q) = v*q - 6*q - 9*q + 78*q. What is y(p(f))?
-96*f
Let o(s) be the third derivative of 0*s**3 - 11/24*s**4 + 0 + 0*s - 189*s**2. Let z(i) = i. What is z(o(w))?
-11*w
Let x(f) = f**2. Let q = 600 + -595. Let i(y) = -q*y - y - y + 15*y - 4*y. Determine i(x(k)).
4*k**2
Let w(p) = -112659*p**2. Let j(o) = -1075*o**2. Calculate w(j(z)).
-130191556875*z**4
Let c(o) = 5226*o**2 + 18*o. Let g(s) = -84*s**2. Give c(g(k)).
36874656*k**4 - 1512*k**2
Let b(g) = -g. Let o(v) be the first derivative of -11*v**5/60 - 7*v**2/2 + 6*v - 46. Let f(q) be the second derivative of o(q). What is f(b(k))?
-11*k**2
Let c(w) = w**2. Let k(h) = -3*h - 104267688. Determine k(c(j)).
-3*j**2 - 104267688
Let m(z) = 9*z**2. Let f(s) be the third derivative of 3*s**5/20 + 5*s**3/2 + 28*s**2 - 62. Give m(f(w)).
729*w**4 + 2430*w**2 + 2025
Let t(p) = 51*p - 66. Let s(d) = -d - 29259. What is s(t(f))?
-51*f - 29193
Let b(j) = 5*j**2. Let o(f) = 18*f**2 - 3687. Calculate o(b(t)).
450*t**4 - 3687
Let w(c) = -2354 - c + 2353 - c. Let s(j) = -5*j - 18. Let k(g) = 2*s(g) - 4*w(g). Let o(d) = 3*d. What is o(k(m))?
-6*m - 96
Let a(m) = 5*m. Let z(k) = 534420*k**2 + 12. Calculate a(z(r)).
2672100*r**2 + 60
Let s(h) = h. Let z(o) = 35*o**2 - 8*o - 5. Let w be 6 + (-8)/1 - -7. Let g(b) = -34*b**2 + 10*b + 6. Let k(t) = w*z(t) + 4*g(t). Determine s(k(a)).
39*a**2 - 1
Let r(f) = 1604395*f - 1604401*f + 0 + 0. Let y(t) = -6*t**2 - 2*t. Determine r(y(o)).
36*o**2 + 12*o
Let x(v) = -3*v**2. Suppose 252 = -n + 7*n. Let z = -35 + n. Let o(a) = -z*a**2 + 2*a**2 + 0*a**2 + 3*a**2. Calculate o(x(t)).
-18*t**4
Let b(y) = 18 - 71*y**2 + 40*y**2 + 25*y**2 - 16. Let u(s) = -12*s - 2. Determine b(u(a)).
-864*a**2 - 288*a - 22
Let o(b) = -4*b**2. Let s(y) = 1261*y - 194. Let z(n) = 79*n - 12. Let f(r) = -6*s(r) + 97*z(r). What is f(o(u))?
-388*u**2
Let r(q) = 551*q**2. Let l(k) = 11*k**2 + 6*k + 138. Let x(i) = -2*i**2 - i - 23. Let f(h) = -l(h) - 6*x(h). What is f(r(o))?
303601*o**4
Let h(x) = 2*x - 169. Let d(m) be the third derivative of m**4/6 + 129*m**2. Determine d(h(a)).
8*a - 676
Let g(p) = 14*p**2. Let z be ((-2)/(-1))/((-4)/(-74)). Let o = -28 + z. Let u(q) = 8*q**2 - 1 + 1 - o*q**2. Determine g(u(y)).
14*y**4
Let n(p) = 54 - 122 + 68 + p. Let o(m) = -111*m + 2. Determine o(n(t)).
-111*t + 2
Let x(b) = 3*b. Let g(j) = -j**2 - 17*j - 13. Let t be g(-13). Let u = t + -37. Let n(q) = 2*q - u*q - 7*q. What is x(n(y))?
-21*y
Let j(m) = -26*m - 25418 + 34*m + 25419 - 19*m. Let c(i) = -i - 3*i - 4*i. Determine j(c(n)).
88*n + 1
Let w(d) = -31*d**2 + 6*d - 12. Let v(m) = 67*m**2 - 13*m + 26. Let i(l) = 6*v(l) + 13*w(l). Let x(h) = 1599*h - 3. Give x(i(n)).
-1599*n**2 - 3
Let f(b) = -5115231*b**2. Let j(z) = -29*z. Calculate f(j(m)).
-4301909271*m**2
Let z(s) = -s**2 - 1052*s. Let f(c) be the third derivative of -c**4/12 + 1909*c**2. Calculate f(z(p)).
2*p**2 + 2104*p
Let o(j) = 2*j**2. Let h(z) = -z**2 - 8*z - 6. Let c be h(-5). Let d be (c/2)/(-9)*-326. Let v(i) = -d*i + 163*i + 12*i**2. What is v(o(b))?
48*b**4
Let i(a) = -20*a - 107 + 8*a + 10*a + 81. Let l(n) = -17*n. Calculate i(l(o)).
34*o - 26
Let b(n) = -35*n**2. Let j(m) = -20*m - 9. Let v(z) be the first derivative of 9*z**2/2 + 4*z - 25. Let h(w) = -4*j(w) - 9*v(w). Calculate b(h(p)).
-35*p**2
Let l(f) = -5*f. Let a(o) be the third derivative of 0*o**3 + 0*o - 1/4*o**4 - 20*o**2 - 1. Give l(a(b)).
30*b
Let z(d) = -d + 0*d - 14*d**2 + d. Let i(n) = 9*n**2 + 12. Let w(k) = k**2 + 2. Let y(v) = i(v) - 6*w(v). What is y(z(p))?
588*p**4
Let v(y) = 41373*y**2. Let k(q) = 353*q**2. Calculate v(k(j)).
5155448157*j**4
Let f(q) = -16*q + 20. Let a(s) be the second derivative of 65*s**3/6 - 75*s**2/2 - 7*s. Let c(w) = -4*a(w) - 15*f(w). Let v(j) = j. Give c(v(l)).
-20*l
Suppose 468 = 4*d + 3*p, 4*p + 472 = 4*d + 8*p. Let n(q) = 38*q - d*q + 37*q + 40*q. Let k(h) = h + 12 + h + 20. Determine n(k(x)).
2*x + 32
Let w(l) = -3*l**2. Let z(m) = 20*m - 18 - 7*m**2 + 12*m**2 - 7*m**2. Let o be z(8). Let u(i) = -o*i + 22 - 22 - 11*i. What is u(w(x))?
75*x**2
Let o(q) = -36*q. Let i(g) be the third derivative of 1/30*g**5 + 0*g + 0*g**4 - 40 - 2*g**2 + 0*g**3. What is i(o(w))?
2592*w**2
Let l(w) = 51*w. Let c(g) be the third derivative of 11*g**4/24 - 2*g**2 + 231*g. Determine c(l(o)).
561*o
Let s(n) = -17*n**2 - 1. Let m be (-5)/(-15) + 25/15. Let d(l) = 2382 + 4*l**m - 2382. Give d(s(j)).
1156*j**4 + 136*j**2 + 4
Let o(t) be the second derivative of 13*t**4/12 + 511*t + 3. Let u(q) = -320*q. Calculate u(o(p)).
-4160*p**2
Let r(a) = -2*a**2. Let f(g) = -9150*g**2 - 10*g - 47. Determine f(r(c)).
-36600*c**4 + 20*c**2 - 47
Let y(h) = 6*h. Let n(i) be the second derivative of -i**3/6 + 7*i**2/2 + i. Let f be n(-20). Let p(a) = -31*a + f*a - 1 + 1. Calculate y(p(r)).
-24*r
Let q(g) = -103*g. Let f be 12305*(4 + -1)*(-12)/(-30). Let k(j) = -f + 0*j + 2*j + 14766. Determine k(q(u)).
-206*u
Let r be 2/4 + 1/(-2). Let d(g) = r*g + 4*g - 2*g + 2*g. Let b(h) = 348*h**2 - 200*h**2 - 146*h**2. Determine b(d(i)).
32*i**2
Let f(g) = -g**2 - 4. Let p(q) = -6*q**2 - 22. Let y = 277 + -283. Let a(n) = y*p(n) + 33*f(n). Let j(l) = 18*l + 2. Give a(j(o)).
972*o**2 +