- 1. Let i(m) = m + 3. Calculate h(i(a)).
25*a**2 + 157*a + 245
Let o(v) be the first derivative of v**4/12 + v + 1. Let r(l) be the first derivative of o(l). Let d(u) = 57 - 181 + 69 + 9*u + 55. Give r(d(y)).
81*y**2
Let s(p) be the first derivative of -14*p**3/3 + 2. Let o(v) be the first derivative of 5*v**2/2 - 1123. What is o(s(t))?
-70*t**2
Let h(i) = -43*i + 22*i + 18*i. Let k(a) be the third derivative of -a**5/15 + a**2. Calculate k(h(p)).
-36*p**2
Let v(s) = -5*s - 20995 + 20995. Let p(x) = 3*x + 1. Calculate p(v(j)).
-15*j + 1
Let u(g) = 22964*g. Let n(o) = -3*o. Calculate u(n(t)).
-68892*t
Let u(a) = -1269 + 1269 + 2*a. Let h(n) = -2*n**2 + 35. What is u(h(w))?
-4*w**2 + 70
Let t(k) = -826*k. Let r(m) = 324*m**2 + 1. Determine t(r(d)).
-267624*d**2 - 826
Let u(g) = 968*g. Let p(b) = -2297*b. Give u(p(a)).
-2223496*a
Let g(k) = -3*k - 116. Let v(n) = 5862*n. What is v(g(b))?
-17586*b - 679992
Let m(o) = 37*o + 3. Let h(u) = -86*u - 7. Let i(n) = 6*h(n) + 14*m(n). Let l(q) be the first derivative of -1 + 0*q + 0*q**2 + 1/3*q**3. Calculate l(i(d)).
4*d**2
Let k(l) = -l - 1. Let o(z) = -z - 2. Let v(j) = 2*k(j) - o(j). Let c be (8 - 3) + (-1 - (2 - 0)). Let x(q) = 4*q**2 - 21*q**c - 54 + 54. Calculate v(x(s)).
17*s**2
Let p(z) = 412*z. Let k(a) = -3*a**2 - 6*a. Calculate p(k(l)).
-1236*l**2 - 2472*l
Let u(f) = -22*f. Let g(x) = -591*x**2 - 3. Determine g(u(k)).
-286044*k**2 - 3
Let h(r) = -1 + 1 - 18*r. Let j(f) = -21 + 8 + 8 + 5 + f**2. What is h(j(a))?
-18*a**2
Let o(r) = -r**2 + r. Let z(y) = -3*y**2 - 4*y**2 + 7*y - y**2. Let l(a) = 28*o(a) - 4*z(a). Let m(t) = 4*t. Determine m(l(h)).
16*h**2
Let a(j) = -2*j**2. Suppose -7*c + 2*c - 15 = r, 3*c + 22 = 2*r. Let o(b) = 1. Let d(i) = -i + 4. Let v(l) = c*o(l) + d(l). Calculate v(a(x)).
2*x**2
Let p(v) = 27*v**2. Let n(k) = -9*k - 3*k - 6*k + 28*k - k. Determine n(p(h)).
243*h**2
Let d(u) = -93*u**2 + 180*u**2 - 90*u**2. Let w(y) = -25*y**2. What is w(d(x))?
-225*x**4
Let w(g) = -g**2. Let s(h) = 3308227*h. What is s(w(l))?
-3308227*l**2
Let l(s) = -16*s**2 - 72*s - 72. Let r(t) = t + 1. Let x(y) = -2*l(y) - 144*r(y). Let g(d) = -3*d**2. Calculate x(g(p)).
288*p**4
Suppose 0 = 12*i - 2*i - 30. Let m(r) = 2*r - 5*r + i*r + r. Let g(w) = 51 + 9*w - 51 + 4*w. What is m(g(c))?
13*c
Let l(x) = 97*x**2 - 12. Let s(c) = 97*c**2 - 9. Let u(o) = -3*l(o) + 4*s(o). Let k(r) = 2*r. What is u(k(a))?
388*a**2
Let b be -14 - 7 - 0/1. Let q = 32 + b. Let f(l) = -9*l - q*l + 15*l. Let r(v) = -4*v**2. Determine f(r(a)).
20*a**2
Suppose -5*x - 3 = -2*a, 2*x = -a + 2 + 4. Let h(m) = a*m - 11*m - 3*m. Let i(t) = -2*t**2 + t**2 + t**2 + 2*t**2 - 4*t**2. What is i(h(d))?
-200*d**2
Let x(w) be the first derivative of -2 + 2 - 1 + 2 - 2*w**2. Let j(n) = -85*n - 84*n + 169*n + 2*n**2. Give j(x(f)).
32*f**2
Let k(q) = -2*q + 132. Let y(j) = -2*j - 9. Let f(c) = c + 4. Let i(x) = -9*f(x) - 4*y(x). Give i(k(h)).
2*h - 132
Let k(o) = -o. Suppose 3*l + j = 5*j + 23, -5*j + 5 = 3*l. Let i(g) = -2 - 14*g**2 + 5*g**2 + l + 12*g**2. Determine k(i(n)).
-3*n**2 - 3
Let c(y) = 3*y + 78667. Let s(z) = -z**2. Calculate c(s(f)).
-3*f**2 + 78667
Let b(p) = -18*p + 14*p + 12*p. Let k(q) be the second derivative of -q**4/12 - 35*q. What is b(k(l))?
-8*l**2
Let b(u) = -18*u. Let x(q) = -q - 1. Suppose c + 14 = -5*o, 3*o = -0*c - 3*c - 6. Let w(v) = v**2 - v - 1. Let m(j) = c*w(j) - x(j). Determine m(b(a)).
324*a**2
Let o(c) = -c**2 - 3*c + 12. Let y be o(-5). Let w(v) = -3*v + y*v + 3*v - 4*v. Let g(i) = -3*i - 2*i + 4*i. Calculate g(w(s)).
2*s
Let u(b) = -15*b. Let p(z) = 29041*z. Give p(u(i)).
-435615*i
Let v(z) = z + 9. Let k(q) = -18406*q**2. Determine v(k(j)).
-18406*j**2 + 9
Let z(f) be the first derivative of f**3/3 - 192. Let u(c) = -7*c - 14. Give u(z(w)).
-7*w**2 - 14
Let a(d) = -2*d**2. Let k = -5 + 12. Let j(m) = -5*m - 7*m + 5*m - k*m. Give j(a(r)).
28*r**2
Let o(t) = 2*t. Let l(q) = 3*q**2 - 4*q - 4. Let y = 7 + 0. Let h(p) = 7*p**2 - 7*p - 7. Let v(b) = y*l(b) - 4*h(b). Determine v(o(g)).
-28*g**2
Let o(p) = 18*p. Let w(l) = -85*l**2 + 34*l + 102. Let z(n) = 12*n**2 - 5*n - 15. Let y(i) = -5*w(i) - 34*z(i). Give o(y(g)).
306*g**2
Let h(v) = 73888*v + 11. Let q(i) = i**2. Give h(q(y)).
73888*y**2 + 11
Let l(k) = -11*k + 6. Let i(z) = 56*z - 33. Let m(p) = -6*i(p) - 33*l(p). Let u(n) = n + 1. Let b(g) = -4*g - 5. Let v(o) = 2*b(o) + 10*u(o). Calculate m(v(w)).
54*w
Let y(m) = -5*m**2 + 23*m**2 + 18*m**2 - 5*m**2. Let b(v) = -4*v. What is b(y(u))?
-124*u**2
Let q(r) = r + r**2 - 25669 - r + 25669. Let a(w) = -63*w**2 - 6. Give a(q(m)).
-63*m**4 - 6
Let y(g) = 29 + 2*g - 29. Let c(z) = -15 - 2*z + 15 + 36*z. What is y(c(a))?
68*a
Suppose -s + 8 = 2. Let y be 1/(27/s + -4). Let z(i) = -y - 146*i + 2 + 145*i. Let a(v) = 12*v. Calculate a(z(f)).
-12*f
Let i(p) = 6*p + 2*p - 30*p. Let g(y) = 2*y - 2*y - 2*y + y. Give i(g(z)).
22*z
Let y(k) = 2*k**2. Let b be (-16)/24*90/(-4). Let o = -13 + b. Let v(a) = 1 - 5 - 7*a**o + 4. What is y(v(c))?
98*c**4
Let j(z) = -z. Let b(d) = 218030*d**2. Determine b(j(u)).
218030*u**2
Let r(a) = -a**2 - 2. Let s(h) = 3*h**2 + 7. Let y(i) = -7*r(i) - 2*s(i). Let z be -10*2/(-9) + 6/(-27). Let c(k) = k**z + 5*k**2 - 8*k**2. Give y(c(f)).
4*f**4
Let v be (-19)/(-1) - (-4 - -6 - -2). Let y(o) = o**2 + o. Let r(k) = 10*k**2 + 15*k. Let h(q) = v*y(q) - r(q). Let w(n) = -4*n. Determine w(h(b)).
-20*b**2
Let v(c) = -4*c + 4. Let p(m) = -2946*m. Determine p(v(o)).
11784*o - 11784
Let x(l) = -31*l**2 - 2. Let k(a) = -10*a. Let p(d) = 3*d. Let v(b) = -k(b) - 5*p(b). What is v(x(c))?
155*c**2 + 10
Let v(i) = -i**2 - 27*i + 29. Let n(q) = -33*q. What is n(v(f))?
33*f**2 + 891*f - 957
Let i(j) = j - 5. Let q(t) = -t + 2. Let c(y) = 2*i(y) + 5*q(y). Suppose 3*s - 25 = -1. Let w(b) = -s*b + 0*b + 9*b. What is c(w(o))?
-3*o
Let z(p) = -10*p**2 - 1. Let r(u) = -2*u + 9. Let q(a) = -18*a + 90. Let d(s) = -q(s) + 10*r(s). Determine z(d(y)).
-40*y**2 - 1
Let h(u) = 12*u. Let k(j) = j**2 - 1. Suppose t + 0*t = 1. Let n be k(t). Let f(m) = -3*m**2 + 2*m**2 + n*m**2. Determine h(f(c)).
-12*c**2
Let r = 4 - -17. Let j(f) = 8*f**2 + r*f - 21*f. Let p(m) = 2. Let a(s) = -s**2 + 10. Let i(g) = -2*a(g) + 10*p(g). Determine j(i(t)).
32*t**4
Let t(i) = 13*i. Let x(w) = -1156*w - 1. Give t(x(y)).
-15028*y - 13
Let n(i) = -4*i. Let q(k) = 10003*k + 91. Determine q(n(a)).
-40012*a + 91
Let i(w) = -10324*w. Let f(r) = 33*r + 1. Determine i(f(d)).
-340692*d - 10324
Let z(i) = 6*i. Let y(m) = 3*m**3 - 2*m**2 + 1. Let l be y(1). Let d(f) = 2*f**l + 292 - 292. Determine d(z(v)).
72*v**2
Let p(u) be the first derivative of 7*u**3/6 - 6*u + 12. Let l(o) be the first derivative of p(o). Let k(s) = -3*s. Calculate k(l(x)).
-21*x
Let u(q) = 9*q**2 + 20*q. Let m(z) = 5*z**2 + 9*z. Let s(x) = 9*m(x) - 4*u(x). Let a(t) = -3*t**2. Give s(a(n)).
81*n**4 - 3*n**2
Let b(r) = -74*r + 228*r - 77*r - 79*r. Let n(m) = -11*m + 2. Let i(a) = -21*a + 5. Let l(d) = -2*i(d) + 5*n(d). What is l(b(p))?
26*p
Let n(k) = 1669*k**2. Let c(h) = 277*h. Give c(n(p)).
462313*p**2
Let v(h) be the third derivative of -h**4/12 - h**2. Let o(m) be the second derivative of -9*m**4/4 - 197*m + 14. Give o(v(u)).
-108*u**2
Let k(f) = 3*f. Let m(z) be the first derivative of 0*z + 2 + 0*z**2 - 4/3*z**3. Give k(m(v)).
-12*v**2
Let m(x) be the third derivative of 1/15*x**5 + 0 + 0*x + 0*x**4 + 0*x**3 + x**2. Let w(h) = 2*h. Determine m(w(i)).
16*i**2
Let w(p) = -7*p**2 + 58873 + p - 58873. Let i(x) = 7*x. Calculate w(i(h)).
-343*h**2 + 7*h
Let v(o) = -2*o - 22. Let n be v(-12). Suppose 0 = -3*y - 0*y + 6. Let s(p) = 24*p**2 - 10*p**y - 12*p**n. Let z(f) = 8*f**2. Determine z(s(r)).
32*r**4
Let b(v) = -6*v. Let j be (4 - 68/20)*(-50)/(-6). Let i(o) be the first derivative of 0*o + 0*o**2 - j - 1/3*o**3. Calculate i(b(c)).
-36*c**2
Let t = 28 + -12. Let s(m) = 40*m - t*m - 23*m. Let q(a) = 2*a. Determine s(q(f)).
2*f
Let l(j) = -147*j**2. Let a(v) be the first derivative of v**3/3 + 87. Give l(a(f)).
-147*f**4
Let b(j) = 7*j. Let f(p) = 9*p. Let g(h) = -5*b(h) + 4*f(h). Let w(k) = 3*k - 14. Let v(y) = 1. Let m(u) = -4*v(u) - w(u). What is g(m(q))?
-3*q + 10
Let h(z) = 5*z. Suppose g + 4 = -2*j, -3*j + 5*g - 29 - 3 = 0. Let k(p) = 20*p - 45*p + 24*p. Let c(r) = -5*r. L