a
Let g(r) = 3*r. Let i(f) be the second derivative of -11*f**4/6 - 40*f - 1. Determine g(i(j)).
-66*j**2
Let z(l) = -2*l. Let t(b) = -1. Let i(h) = -h - 3. Let o(f) = -i(f) + 3*t(f). Let g(x) = -12*o(x) - 5*z(x). Let m(w) = -18*w**2. Give g(m(a)).
36*a**2
Let x(m) = -4*m. Let f(b) be the second derivative of b**6/180 - b**3 + b. Let t(w) be the second derivative of f(w). Calculate t(x(h)).
32*h**2
Let j(p) be the second derivative of -353*p**4/4 + 155*p. Let m(l) = -l. Give j(m(d)).
-1059*d**2
Let z(n) be the second derivative of -4/3*n**3 - 18*n + 0*n**2 + 0. Let u(v) be the first derivative of 2*v**3/3 - 1. Determine z(u(d)).
-16*d**2
Let s(c) = -11*c**2. Suppose -7 + 4 = -m + o, -4*o - 4 = 0. Let p(t) = 6*t**m + 3*t**2 - 11*t**2. Give p(s(v)).
-242*v**4
Let t(r) be the second derivative of -4*r**3/3 + 55*r. Let g(b) = 27*b**2. What is t(g(l))?
-216*l**2
Let n(g) = 137*g**2. Let l(w) be the second derivative of -w**3/3 + 15*w. Give l(n(d)).
-274*d**2
Let n(k) = k**2 - k + 1. Let h(i) = i - 1. Let a(b) = h(b) + n(b). Let p(x) = -7*x. Give p(a(c)).
-7*c**2
Suppose -p - 10 + 6 = 0. Let v(m) = 3*m**2 + 4*m - 4. Let i(o) = -4*o**2 - 5*o + 5. Let b(y) = p*i(y) - 5*v(y). Let a(s) = -11*s. Calculate b(a(j)).
121*j**2
Let y(g) = 7*g. Let i(x) = 6*x**2 + 1604. Determine i(y(s)).
294*s**2 + 1604
Let g(h) be the second derivative of 8*h**3/3 - 98*h + 3. Let j(k) = 6*k - 2. Determine j(g(x)).
96*x - 2
Let u(g) be the first derivative of 0*g**3 - 4 + 5/24*g**4 + 0*g + 5/2*g**2. Let v(x) be the second derivative of u(x). Let s(p) = 2*p**2. Calculate s(v(o)).
50*o**2
Suppose 2*g = 2 + 4. Let d(v) = v**2 + g*v + 24 - 28 + v. Let c(j) = j**2 + 3*j - 3. Let r(x) = 4*c(x) - 3*d(x). Let p(w) = -10*w**2. Calculate p(r(b)).
-10*b**4
Let z(a) = 23*a. Suppose 3*g - 1921 = 5360. Let y(s) = -2*s - 2427 + g. Give y(z(q)).
-46*q
Let v(n) = n**2 - 17*n. Suppose -7*d + 448 = 56. Let z(q) = 56 - q - d + 0*q. Determine v(z(c)).
c**2 + 17*c
Let t(q) = -3*q**2. Let d(z) = 331415*z. Give d(t(k)).
-994245*k**2
Let d(n) = -n. Let p(b) = 8*b**2 - 7. Suppose -66 = 2*m - 10. Let a(j) = 24 + j**2 - 2*j**2 - 23. Let x(i) = m*a(i) - 4*p(i). Determine x(d(v)).
-4*v**2
Let z(n) = -2*n. Let x(c) be the first derivative of 14 + 0*c - 1/3*c**3 + 0*c**2. What is z(x(k))?
2*k**2
Let s(g) = 12*g. Let p(x) = 814 + 4*x - 2*x**2 - 4*x - 814. Calculate s(p(o)).
-24*o**2
Let m(w) = 58*w**2 + 22*w. Let r(y) = -11*y**2 - 4*y. Let q(u) = -2*m(u) - 11*r(u). Let l(n) = -81*n. Calculate l(q(v)).
-405*v**2
Let q(d) be the third derivative of d**4/4 + 2*d**2. Let p(x) = -10*x**2 - 4*x - 2. Let l(h) = 24*h**2 + 10*h + 5. Let k(u) = 2*l(u) + 5*p(u). What is k(q(v))?
-72*v**2
Let j(v) = -7*v - 1. Let n(w) = w**3 - 7*w**2 + 9*w - 14. Let r be n(6). Let p(q) = -1 + r - 3 - q**2. What is j(p(h))?
7*h**2 - 1
Let k(m) = m**2 - 834 + 834. Let p(c) = 4*c**2 + 3*c**2 - 4*c**2. What is k(p(s))?
9*s**4
Let s be 88/(-6)*3/2. Let m = 22 + s. Let i(g) = 44*g**2 + 0 - 45*g**2 + m. Let z(h) = 9*h. Determine i(z(k)).
-81*k**2
Let j(g) = 2*g**2. Let x(d) be the second derivative of -d**4/6 - 15*d**2/2 + 2*d - 20. Give x(j(i)).
-8*i**4 - 15
Let b(z) = -2*z. Let p(j) = -814*j**2 - 36. Determine p(b(s)).
-3256*s**2 - 36
Let p(z) be the second derivative of 5*z**3/3 - 153*z. Let q(d) = 96*d**2. Give p(q(g)).
960*g**2
Let m(i) = 123431 - 123431 + 10*i**2. Let x(u) = -18*u**2. What is x(m(a))?
-1800*a**4
Let c(z) = 74*z**2 - 3*z. Let o(g) be the second derivative of -g**3/3 + 20*g. Calculate o(c(j)).
-148*j**2 + 6*j
Let g(o) = -22*o**2. Let j(a) = 5333*a. Calculate g(j(w)).
-625699558*w**2
Let s(i) = i. Suppose 5*z - m - 53 = 2*z, 2*z + 3*m = 39. Let t(k) = z - k + 0*k - 18. Determine s(t(o)).
-o
Let w(q) = 10*q**2. Let k(h) = -21*h + 365. What is k(w(u))?
-210*u**2 + 365
Let t(h) = 3*h. Let l(a) = -94033*a. Calculate t(l(w)).
-282099*w
Let v(n) = -158*n**2 + 464*n**2 - 155*n**2 - 158*n**2. Let h(p) = 4*p - 4*p + 2*p**2. Calculate h(v(i)).
98*i**4
Let a(z) = -8*z**2. Let p(v) = 1028*v**2 - 516*v**2 - 518*v**2. What is p(a(q))?
-384*q**4
Let x(l) = l. Suppose 4*n = 52 + 100. Let w be (-12)/20 + n/5. Let q(d) = -5*d**2 - 2*d. Let h(j) = 16*j**2 + 7*j. Let y(r) = w*q(r) + 2*h(r). What is y(x(b))?
-3*b**2
Let m(r) = -168*r + 1. Let u(t) = 356*t**2 - 192*t**2 - 167*t**2. What is u(m(o))?
-84672*o**2 + 1008*o - 3
Let v(x) = 1583*x. Let p(u) = -21*u. Determine p(v(y)).
-33243*y
Let t(n) = n. Let f be (1 + -13)*(-5)/15. Suppose 0*z + 5*z = 0. Let a(j) = -2*j**2 + z*j + f*j - 4*j. Determine t(a(i)).
-2*i**2
Let a(h) = 4*h**2. Let d(u) = 6*u**2. Let z(t) = 8*a(t) - 5*d(t). Let i = -18 - -20. Let g(s) = -s + 4*s - i*s. Calculate g(z(r)).
2*r**2
Let h(n) = -n. Let k(m) = 71*m**2 - 40*m. Calculate h(k(i)).
-71*i**2 + 40*i
Let u(g) = g. Suppose -2*w + 5 = -5*s + 3, 0 = 4*s - 2*w + 2. Let q(v) be the third derivative of -8*v**2 + s + 0*v + 0*v**3 - 1/24*v**4. What is q(u(i))?
-i
Let v(x) = 456*x + 209. Let f(l) = -13*l - 6. Let s(z) = -209*f(z) - 6*v(z). Let d(p) be the second derivative of p**4/6 + 7*p. Calculate s(d(h)).
-38*h**2
Let s(v) = -v. Suppose 0 = 3*i - 2*q - 12, 3*i - 3*q - 13 + 1 = 0. Let b(z) be the first derivative of -i*z**2 + z**2 + 4 + 4*z**2. Determine b(s(m)).
-2*m
Let c(l) = -l**3 - 15*l**2 - 16*l - 18. Let x be c(-14). Let k = 12 - x. Let p(s) = s + 2*s - 3*s - k*s**2. Let b(w) = 3*w. What is p(b(h))?
-18*h**2
Let g(j) = -7*j**2. Let u(l) = 1684*l**2 + 5*l + 2. Determine u(g(s)).
82516*s**4 - 35*s**2 + 2
Let x(h) = -2*h**2. Let j(a) = 37534*a. Determine j(x(b)).
-75068*b**2
Let h(g) = -6*g - 1. Let c(z) = 26401*z**2. Calculate h(c(f)).
-158406*f**2 - 1
Let k(m) be the second derivative of -5*m**3/2 - 69*m. Let r(d) = 7*d. Give k(r(s)).
-105*s
Let a(y) = 132729*y. Let j(t) = t. Determine j(a(i)).
132729*i
Let g(j) = -j. Let m(b) = 90*b - 90. Let n(c) = -c + 3. Let a(w) = m(w) + 30*n(w). Calculate a(g(k)).
-60*k
Let m(v) = 463*v. Let u(x) = x**2 - 43. Calculate m(u(l)).
463*l**2 - 19909
Let o(u) = -403*u**2. Let s(y) = -7*y**2 - 5*y - 5. Let a(w) = 6*w**2 + 4*w + 4. Let f(l) = 5*a(l) + 4*s(l). Calculate o(f(m)).
-1612*m**4
Let a(k) = 226646*k. Let b(s) = -2*s**2. What is b(a(n))?
-102736818632*n**2
Let f(u) = u. Let a(w) = 32*w**2 - 4*w - 16. Let m(y) = 31*y**2 - 3*y - 12. Let i(q) = 3*a(q) - 4*m(q). What is i(f(v))?
-28*v**2
Let a(c) = c**2. Let s(h) be the third derivative of -h**7/1008 - h**5/15 + 17*h**2. Let k(f) be the third derivative of s(f). What is a(k(u))?
25*u**2
Let a(l) = -15*l**2. Let n(c) = 2*c**2 + 4*c + 454. Calculate n(a(u)).
450*u**4 - 60*u**2 + 454
Let w(n) = -5*n**2 - 66*n - 50. Let s(v) = 8*v. Calculate w(s(t)).
-320*t**2 - 528*t - 50
Let a(b) = 3*b**2. Let d(t) = -31610*t. Calculate d(a(p)).
-94830*p**2
Let y(v) = 105*v. Let a(x) = 172*x. What is y(a(p))?
18060*p
Let n(s) = -s. Let i(p) be the third derivative of p**8/10080 - p**6/60 - 29*p**5/60 - 50*p**2. Let x(t) be the third derivative of i(t). Calculate n(x(d)).
-2*d**2 + 12
Let d(i) = -68*i**2. Let r(u) = -u - 34. Give r(d(x)).
68*x**2 - 34
Let h(p) = 7*p**2 - 8818*p - 3. Let k(r) = -r. What is k(h(b))?
-7*b**2 + 8818*b + 3
Let k(c) = c**2. Let j(y) = y + 2. Let d(i) = -6*i + 147. Let q(n) = d(n) + 4*j(n). Determine k(q(g)).
4*g**2 - 620*g + 24025
Let l(r) be the third derivative of 26*r**5/15 - 32*r**2 + 2. Let t(s) = -3*s. Give t(l(h)).
-312*h**2
Let d(h) = -7*h - 9. Let u(q) = 2*q + 3. Let x(t) = -2*d(t) - 6*u(t). Let i(c) = 13*c**2. Determine i(x(k)).
52*k**2
Let o(p) = -p**2. Let t be (18/(-4))/(6/(-8)). Let c(f) = -7*f - 3*f - 6*f + t*f. Determine c(o(b)).
10*b**2
Let m(l) = -2*l**2. Let s(i) = 574822*i. Determine s(m(w)).
-1149644*w**2
Let n(i) = -2*i. Let m(k) = 21*k - 9. Suppose -t - 3*t + 24 = 0. Let d be m(t). Let z(v) = 2*v**2 - d*v + 117*v. Calculate n(z(y)).
-4*y**2
Let l(g) = 28*g + 3. Suppose 5*t - 46 = -3*j, -4*j = -2*t + 6 + 2. Let x(f) = 83*f + 8. Let k(s) = t*l(s) - 3*x(s). Let v(a) = -2*a - 14 + 14. What is k(v(u))?
50*u
Let g(u) = 2*u**2. Let f(o) be the third derivative of 0*o**4 + 0*o + 19/60*o**5 + 0*o**3 + 16*o**2 + 0. Give g(f(z)).
722*z**4
Let f(v) = -1342*v. Let g(d) = 939*d - 1. Determine g(f(k)).
-1260138*k - 1
Let y(t) = 13*t. Let r(q) be the second derivative of -7*q**4/12 + 11*q + 5. What is y(r(v))?
-91*v*