t h(n) = -123*n**2 + 3*n + 1. What is i(h(g))?
-123*g**2 + 3*g + 1
Let r(b) = -b**2. Let l(j) = 243*j**2 + 12*j + 6. Let n(z) = 45938*z**2 + 2266*z + 1133. Let y(v) = 1133*l(v) - 6*n(v). Give y(r(p)).
-309*p**4
Let a(r) = -2*r. Let m be 146/50 + 152/1900. Let t(d) be the second derivative of 0 + 0*d**m + 1/4*d**4 + 0*d**2 + 9*d. Determine t(a(q)).
12*q**2
Let z(o) = -o**3 + 20*o**2 + 19*o - 3. Let m be z(9). Let w(q) = -m + 7*q + 1059. Let j(r) = -8*r**2. What is j(w(y))?
-392*y**2
Let c(s) = -52*s. Suppose -83*o = -77*o + 24. Let h(v) = -2*v**2 + 12*v - 3. Let t(q) = 3*q**2 - 16*q + 4. Let i(z) = o*h(z) - 3*t(z). Determine c(i(p)).
52*p**2
Let m(a) = 280408*a - 1. Let v(h) = -8*h**2. Give m(v(i)).
-2243264*i**2 - 1
Let l(q) = -1. Let h(w) = -9*w + 5. Let r(b) = -h(b) - 5*l(b). Let n(s) be the first derivative of 2/3*s**3 + 0*s**2 + 0*s + 39. Calculate r(n(m)).
18*m**2
Suppose 0 = 53*w - 52*w - 4. Let o(i) = w*i - 1 + 0 + 1. Let a(g) be the third derivative of -7*g**4/24 - g**2. What is o(a(b))?
-28*b
Let v(c) = -c. Let p(z) = -73*z**2 - 89*z**2 + 233*z**2 - 5 - 93*z**2 + 3. Give v(p(y)).
22*y**2 + 2
Let h = -24757 - -24757. Let w(q) be the third derivative of h*q**3 + 1/60*q**5 + 0*q + 0 + 0*q**4 - 41*q**2. Let r(v) = v**2. Determine w(r(f)).
f**4
Let b(k) = -459*k**2 - 136. Let z(c) = -20*c**2 - 6. Let n(j) = 3*b(j) - 68*z(j). Let a = 1 + 2. Let d(t) = -2 + 5 - 2*t - a. Calculate d(n(p)).
34*p**2
Let y(j) = 3*j**2 + 0*j**2 - 2*j**2. Let p(t) be the third derivative of 7*t**5/15 + 3392*t**2. Calculate p(y(a)).
28*a**4
Suppose 0 = 4*d - 35 + 11. Let z(q) = q + 2*q - 2*q - d*q. Let o(x) = -13*x. Give z(o(l)).
65*l
Let b(n) = 0*n - 4*n - 4*n + 4*n. Let u(x) be the second derivative of -x**5/20 + 23*x**2 - 28*x. Let a(s) be the first derivative of u(s). What is b(a(q))?
12*q**2
Let k(w) = 2*w. Let p(n) = 97*n**2 + 865. Give p(k(z)).
388*z**2 + 865
Let b(l) = -7*l**2 - 1080265. Let r(y) = -3*y. Give b(r(g)).
-63*g**2 - 1080265
Let v(q) = -4*q. Let u(z) be the second derivative of -2 + 4*z - 5*z - 32*z**3 + 34*z**3. Give v(u(x)).
-48*x
Let a(r) = -4*r**2 - 120*r - 8. Let n(c) = 30*c + 2. Let w(g) = -2*a(g) - 8*n(g). Let f(s) = 382*s. What is w(f(x))?
1167392*x**2
Let j(x) = 311*x + 1. Let v(u) be the first derivative of -u**3/3 - 1041. Give v(j(d)).
-96721*d**2 - 622*d - 1
Let g(y) = -11304*y. Let w(f) = f**2 + 281. Determine g(w(d)).
-11304*d**2 - 3176424
Let a(m) be the second derivative of -m**6/360 + 9*m**3/2 - m**2 - 24*m. Let i(k) be the second derivative of a(k). Let h(n) = -475*n**2. What is h(i(x))?
-475*x**4
Let l = -90 - -117. Let k(t) = t + l - 54 + 27. Let w(a) = 21*a. What is w(k(d))?
21*d
Let d(n) be the third derivative of n**4/24 + 3056*n**2. Let i(q) be the first derivative of -202*q**3/3 - 10. Determine d(i(u)).
-202*u**2
Let m(x) = 2*x**2. Suppose -14*p + 2075 = 129. Let l(t) = -283*t + 144*t + p*t + 284*t**2. What is l(m(z))?
1136*z**4
Let d(s) = -26*s + 1118. Let z be d(43). Let t(b) be the second derivative of -1/2*b**3 + z + 0*b**2 - 17*b. Let x(w) = 3*w**2. Calculate x(t(k)).
27*k**2
Let m(f) = -10*f. Let o(w) = 241*w + 18. Let q(k) = -249*k - 21. Let v(b) = 7*o(b) + 6*q(b). Determine v(m(r)).
-1930*r
Suppose 4*x - 4 = 2*x. Let f(u) = 4*u**x + 3*u**2 - 5*u**2 + u**2. Let c(g) be the second derivative of -5*g**4/6 - 7*g - 17. Determine f(c(l)).
300*l**4
Let i(a) = 3*a + 92. Let w(d) = -3*d - 71. Let l(f) = -2*i(f) - 3*w(f). Let u(q) = -q**2 + 32. Give l(u(o)).
-3*o**2 + 125
Let y = -408 - -730. Let h(q) = y - 2*q - 322 + 4*q. Let d(t) = 80*t. Let f(k) = 3*k. Let m(i) = 2*d(i) - 55*f(i). Calculate h(m(a)).
-10*a
Let t(o) = o + 3*o - 3*o. Let g(w) = 30*w + 2*w - 22*w - 4*w**2 + 1 - 6. Let n(l) = l**2 - 2*l + 1. Let m(b) = -g(b) - 5*n(b). Calculate m(t(k)).
-k**2
Let k(d) = -5*d**2. Let s be 2/((-16)/10)*-24. Let x(t) = 1 - 1 + s*t**2 - 3 + 3. Calculate k(x(p)).
-4500*p**4
Let l(n) = 7*n**2 + 37. Let g(p) = -p**2. Let w(k) = 2*g(k) - l(k). Let j(t) be the first derivative of w(t). Let s(c) = -2*c**2 + 0 + 0. Determine j(s(v)).
36*v**2
Let o = -934 + 5605/6. Let g(q) be the second derivative of 0*q**3 + 0*q**2 + 0 + o*q**4 + 15*q. Let l(m) = 2*m. Give g(l(h)).
8*h**2
Let l(m) = -m. Let k(t) = 100950275*t. Determine l(k(s)).
-100950275*s
Suppose -75 - 123 = 18*r. Let z(p) = 2*p**2 + 37. Let l(v) = -5*v**2 - 111. Let h(i) = r*z(i) - 4*l(i). Let b(w) = -4*w**2. Give b(h(g)).
-16*g**4 + 592*g**2 - 5476
Let a(j) = 3*j**2 + 48*j - 17. Let u be a(-17). Let i(z) = -5 + 2*z - u + z. Let m(h) = h**2. Calculate m(i(d)).
9*d**2 - 234*d + 1521
Let j(l) = 7*l. Let t(y) be the third derivative of 13/30*y**5 + 0 + 0*y + 91*y**2 + 0*y**3 + 0*y**4. Calculate j(t(a)).
182*a**2
Let b(z) = -4*z. Let i be 4 + -3 + 6 + -11 - 60/(-15). Let g(n) be the third derivative of 0*n**4 + 0*n**3 + i*n - 44*n**2 - 1/20*n**5 + 0. Calculate b(g(f)).
12*f**2
Let p(g) = -2*g. Let v(j) = 94*j + 41033. Determine v(p(l)).
-188*l + 41033
Let q(b) = 12*b**2. Let d(h) = -5806*h - 2 + 2918*h + 2917*h. What is d(q(p))?
348*p**2 - 2
Let w(m) be the first derivative of -42*m - 3*m**2 + 42*m + 14. Let d(k) be the third derivative of k**5/20 - 2*k**2 - 9. Calculate d(w(v)).
108*v**2
Let y(b) be the first derivative of 6084*b**2 - 2*b + 7992. Let s(u) = 2*u. Give y(s(o)).
24336*o - 2
Let k(g) = 14*g**2. Suppose 6*j - 1600 = -2*j. Let v(h) = -200 - h + j. Determine k(v(p)).
14*p**2
Let i(u) = u - 64. Let m(v) = -37*v**2 - v - 1. Let k(b) = -67*b**2 - 2*b - 2. Let c(j) = k(j) - 2*m(j). Determine i(c(d)).
7*d**2 - 64
Let w(h) = -h. Let v(a) = 83*a**2 - 3132069*a. Calculate v(w(k)).
83*k**2 + 3132069*k
Let f(c) = 183*c + 211*c + 273*c - 646*c. Let z(t) = -t**2 - 5*t. Let m be z(-5). Let g(n) = -4*n + m*n + n. What is f(g(s))?
-63*s
Let b(n) = 1 + 2 - 4*n - 3 - 1 + 8. Let k(w) = 2*w**2. Calculate k(b(j)).
32*j**2 - 112*j + 98
Let z(h) be the second derivative of -5*h**3/3 - 2*h - 4382. Suppose -2*a - 8 = -4*a. Let d(f) = -a + 2 - 3*f + 2. What is d(z(g))?
30*g
Let r(c) be the third derivative of 311*c**5/60 - 2*c**2 - 336*c - 1. Let u(p) = 11*p. What is r(u(v))?
37631*v**2
Let u(z) be the first derivative of -z**3 - 247. Let x(i) = 439*i**2. Give x(u(c)).
3951*c**4
Suppose 437 = 12*i + 101. Let l(t) = i + t**2 + 27 - 55. Let j(n) = -2*n**2 + 2. Calculate l(j(v)).
4*v**4 - 8*v**2 + 4
Let t(n) = -13*n**2 - 155. Let w(h) be the third derivative of h**4/24 + 54*h**2. Calculate t(w(y)).
-13*y**2 - 155
Let y(o) be the first derivative of -59*o**2/2 - o - 3687. Let x(n) be the third derivative of -n**5/60 + 3*n**2. Give y(x(p)).
59*p**2 - 1
Let w(r) = -733*r**2 - 3*r + 3. Let d(u) = 4*u. Determine d(w(y)).
-2932*y**2 - 12*y + 12
Let y(f) be the first derivative of f**2 + 1013. Let g(o) = -263*o**2. Calculate y(g(b)).
-526*b**2
Let n(x) = 2*x. Let m(f) = 3*f**2 + 15384820*f. Calculate m(n(q)).
12*q**2 + 30769640*q
Let o(q) = -220*q**2. Let c(z) = -72 + 37 - 84*z + 90*z + 35. What is o(c(n))?
-7920*n**2
Let k(p) = 5*p + 3*p - 15*p + 3*p. Let d(q) be the third derivative of 3*q**5/20 - 11*q**2 + 11. What is d(k(f))?
144*f**2
Let z(u) = -u**2 - 1347*u - 4. Let t(m) = 2*m**2 + 2500. Give z(t(x)).
-4*x**4 - 12694*x**2 - 9617504
Suppose 0 = u + 2*t - 28, 4*u = -3*t - t + 124. Suppose -5*x - 11 + 46 = 0. Let f(d) = -8*d - u + 14*d - x*d. Let o(n) = n. Determine f(o(k)).
-k - 34
Let z(j) = 396*j - 9. Let h(u) = 47*u - 1. Let o(g) = 9*h(g) - z(g). Let k(v) = 102*v**2. Calculate o(k(c)).
2754*c**2
Let p(i) = -1345*i**2. Let x(m) = 12*m + 915. What is x(p(a))?
-16140*a**2 + 915
Let r(o) = 140*o**2. Let f(p) = 30*p - 85 - 93 + 269 - 91. What is r(f(i))?
126000*i**2
Let p(l) = 234*l. Let s(f) be the third derivative of -f**5/15 - 344*f**2 - 7. What is p(s(j))?
-936*j**2
Let g(y) = -y**2. Let m(f) = 326*f**2 - 7801*f + 12*f**2 + 128*f**2 + 7801*f. What is m(g(w))?
466*w**4
Let v(t) = -33*t + 103*t - 29*t - 41*t + 3097*t**2. Let d(h) = h**2. Determine v(d(m)).
3097*m**4
Let x(g) = -1569*g. Let d(z) = 2*z - 160. Give x(d(q)).
-3138*q + 251040
Let y(m) be the first derivative of -m**3/3 + m**2 - m + 21. Let s(x) = -11*x**2 + 10*x - 5. Let h(z) = 2*s(z) - 10*y(z). Let k(g) = 4*g**2. What is k(h(o))?
576*o**4
Let t(i) = 10*i - 24. Let b(d) = 7*d - 18. Let s(y) = 4*b(y) - 3*t(y). Let a(m) = 3770*m. Give s(