Calculate p(d(f)).
-8*f**2
Let t(f) = -3*f. Let l(a) = 1. Suppose p + v + 6 = 0, -1 = -2*v - 5. Let o(c) = -3*c - 4. Let h(m) = p*l(m) - o(m). Determine h(t(s)).
-9*s
Let t(y) = -43*y**2. Let r(j) = 25579*j. What is r(t(h))?
-1099897*h**2
Let j(w) = 39*w**2 - 44*w**2 + 72 - 72. Let d(o) = 9*o + 0 + 0. What is d(j(p))?
-45*p**2
Let i(s) = -139*s - 83. Let c(m) = -2*m. Determine i(c(k)).
278*k - 83
Let x(g) = -111*g. Let s(w) = -5*w**2 - 2. Give x(s(z)).
555*z**2 + 222
Let n(d) = 8*d**2. Let o(j) = -j**2 - j + 1. Let m(b) = 6*b**2 + 2*b - 2. Let h(c) = m(c) + 2*o(c). Calculate h(n(x)).
256*x**4
Let i(b) = 351*b**2 - b - 352*b**2 + b. Let w(q) = -21*q - 4*q - 4*q. Determine i(w(f)).
-841*f**2
Let z(r) = 2*r**2 + 2*r - 2. Let x be z(-2). Suppose 114*d - 54 = 105*d. Let s(h) = -3*h**x + d*h**2 + 2*h**2 + h**2. Let v(w) = 4*w**2. What is s(v(t))?
96*t**4
Let y(w) = -7*w**2 + 6. Let c(d) be the second derivative of -d**4/6 + 3*d - 2. Determine c(y(f)).
-98*f**4 + 168*f**2 - 72
Let d(i) = -2*i**2. Let p(x) = -5*x**2 + 6*x - 134. Calculate p(d(a)).
-20*a**4 - 12*a**2 - 134
Let v = 2 - -1. Let j(m) = -2 + 2*m**2 - 1 + v. Let t(c) = 30*c**2. What is j(t(n))?
1800*n**4
Let k(w) = 11*w - 5. Let t(c) = 6*c - 3. Let b(s) = -3*k(s) + 5*t(s). Let p(g) be the second derivative of -g - 1/2*g**3 + 0*g**2 + 0. Determine p(b(u)).
9*u
Let x(d) = 33*d - 37*d + 5*d - d + 8*d**2. Let u(o) = 2. Let k(j) = j - 6. Let y(r) = 2*k(r) + 6*u(r). Calculate x(y(c)).
32*c**2
Let f(s) = -30*s. Let w(m) = -3*m**2 + 6*m**2 + 63*m - 63*m + 8*m**2. What is f(w(g))?
-330*g**2
Let p(c) = -66*c. Let u(r) = -2*r**2 - 2*r - 2. Let j(b) = -9*b**2 - 11*b - 11. Let k(h) = -2*j(h) + 11*u(h). Determine k(p(v)).
-17424*v**2
Let i(t) = 2*t**2. Let f(u) be the first derivative of u**5/20 + 25*u**2/2 - 21. Let d(v) be the second derivative of f(v). What is i(d(a))?
18*a**4
Let k(v) = -5*v**2 - 2*v - 2. Let b(c) = -21*c**2 - 9*c - 9. Let q(l) = -2*b(l) + 9*k(l). Let w(h) = -38*h. Give q(w(s)).
-4332*s**2
Let g(z) = 7*z**2. Let o(h) be the second derivative of -h**3/6 + h**2 + 226*h. Suppose 1 = d - 1. Let s(w) = 2*w - 5. Let x(q) = d*s(q) + 5*o(q). Give x(g(u)).
-7*u**2
Let q(w) = -w + 1. Let l(z) = 13*z - 11. Let m(t) = 2*l(t) + 22*q(t). Let r(s) = -s + 3*s + 0*s. Calculate r(m(h)).
8*h
Let b(k) be the second derivative of k**6/360 - k**3/6 - 2*k. Let p(w) be the second derivative of b(w). Let i(c) = -2*c + 25 - 25 + 3*c. Calculate i(p(o)).
o**2
Let r(h) = 462*h**2 - h. Let o(p) = p. What is r(o(l))?
462*l**2 - l
Let w(t) be the third derivative of 5*t**4/4 - 34*t**2 - 2*t. Let f(s) = 13*s**2. What is f(w(r))?
11700*r**2
Let y(g) = g**2 + 26. Let n(c) = -7*c**2 - c. Let i(x) = 4*x**2 + 2*x. Let k(m) = -i(m) - 2*n(m). What is y(k(s))?
100*s**4 + 26
Let q(m) = 0*m**2 + m**2 + 7*m**2. Suppose -18 = -4*w + 5*r, 2*r - 3 = -4*w + 1. Let y(f) = 2*f**w + 19 - 19 - 4*f**2. What is q(y(d))?
32*d**4
Let g(d) = 34*d - 9*d**2 - 29*d + 93*d**2. Let v(y) = -714*y**2 - 42*y. Let w(r) = -42*g(r) - 5*v(r). Let n(b) = 3*b**2. Give n(w(k)).
5292*k**4
Let b(a) = -6*a. Let c(d) be the first derivative of -2*d**2 - 136. Determine c(b(m)).
24*m
Let v(k) = k**2. Let d(o) be the second derivative of -3/2*o**2 - 2*o + 1/6*o**3 + 0. Let b(r) = 4*r - 8. Let g(z) = 3*b(z) - 8*d(z). What is v(g(l))?
16*l**2
Let u(d) = -1. Let f(k) = -14*k - 6. Let n(m) = f(m) - 6*u(m). Let x(v) = 6*v**2 - 8*v. Let h(a) = -4*a**2 + 5*a. Let p(t) = -8*h(t) - 5*x(t). What is p(n(j))?
392*j**2
Let j(h) = -2*h**2. Let o(f) = 14*f - 2*f**2 - 4*f - 7*f - 9*f. Let q(a) = -5*a**2 - 13*a. Let x(p) = 13*o(p) - 6*q(p). What is j(x(c))?
-32*c**4
Let a(q) = -213 + 213 - 2*q. Let i(k) = 25*k. Determine a(i(m)).
-50*m
Let p(k) = -8*k**2 - 3*k - 1059. Let u(t) = 5*t. What is u(p(w))?
-40*w**2 - 15*w - 5295
Let p(f) = -3*f**2 - 216*f + 5. Let d(c) = -c. What is p(d(r))?
-3*r**2 + 216*r + 5
Let q(p) = 99*p - 1. Let z(y) be the first derivative of -y**2/2 - 214. Determine q(z(s)).
-99*s - 1
Suppose 4*f - 9 = 15. Let k(t) = 5*t - 6. Let a(j) = 6*j - 7. Suppose -7*y + 2*y = 35. Let v(p) = f*a(p) + y*k(p). Let o(x) = -5*x. Determine o(v(l)).
-5*l
Let j(r) = -r. Let t(q) = 4229*q. Give j(t(i)).
-4229*i
Let i be -6*1*(-2)/4. Let y(p) be the first derivative of -2 + 4*p**i - 1 - 2. Let o(w) = -2*w. Determine o(y(l)).
-24*l**2
Let l(b) = 4*b**2. Let j(a) = 49*a**2 - 4*a. Let y(q) = 103*q**2 - 9*q. Let c(w) = 9*j(w) - 4*y(w). Give l(c(i)).
3364*i**4
Let a(o) be the first derivative of -o**4/24 - 6*o**2 - 5. Let t(w) be the second derivative of a(w). Let c(v) = v. What is c(t(u))?
-u
Let j(d) = -11*d. Let a(n) = 192581*n**2. Calculate j(a(t)).
-2118391*t**2
Let v(s) = -44496*s. Let j(x) = 9*x. What is j(v(u))?
-400464*u
Let w(i) = -i**2 + 4*i - 4595. Let a(l) = l**2. Give w(a(r)).
-r**4 + 4*r**2 - 4595
Let u(z) = -z**2 + 6. Let v(n) be the second derivative of -n**7/2520 - 25*n**4/6 + 21*n. Let s(q) be the third derivative of v(q). Determine s(u(m)).
-m**4 + 12*m**2 - 36
Let q(p) = -16*p + 6. Let z(t) = t - 2. Let y(d) = q(d) + 3*z(d). Let b = -3 + 5. Let h(v) = 0*v**2 + 4*v**2 - 2*v**b. What is h(y(s))?
338*s**2
Let v(j) = -15*j**2. Let c(o) = -o**2 - 226. Calculate c(v(h)).
-225*h**4 - 226
Let k(t) = 2*t**2. Let v(x) be the first derivative of 11*x**2/2 - 3*x - 9. Let s(h) = -32*h + 8. Let r(b) = -3*s(b) - 8*v(b). Determine k(r(m)).
128*m**2
Let r = -126 + 126. Let b(q) be the second derivative of r + 1/3*q**3 + 0*q**2 + 6*q. Let f(w) = 3*w**2. What is f(b(j))?
12*j**2
Let u(o) = -4*o - o + 7*o. Let x(y) = -103*y - 399. Let h(v) = -13*v - 47. Let m(i) = -17*h(i) + 2*x(i). Calculate u(m(p)).
30*p + 2
Let t(p) = -2*p**2 + 25041*p - 8. Let u(k) = -k**2. What is t(u(n))?
-2*n**4 - 25041*n**2 - 8
Let x(p) = -p. Let b(a) = -63*a - 475*a + 190*a - 522*a. Determine x(b(q)).
870*q
Let l(j) = 2*j. Let m(c) = -c**2 + 7370*c + 6. Calculate l(m(b)).
-2*b**2 + 14740*b + 12
Let k(d) be the second derivative of -2*d + 0 + 0*d**2 - 1/6*d**4 + 0*d**3. Let s(x) = -3*x**2. Give k(s(i)).
-18*i**4
Let w(f) = 68*f**2. Let t(o) be the first derivative of o**2/2 - 999. Calculate w(t(z)).
68*z**2
Let d(n) be the first derivative of 5*n**2/2 - 5*n + 644. Let s(c) = c. Give s(d(v)).
5*v - 5
Let f(m) be the first derivative of -m**3 - 11*m - 77. Let a(p) = -2*p. Determine a(f(g)).
6*g**2 + 22
Let f(o) = -446*o. Let d(g) be the second derivative of -g**3/3 + 118*g - 2. Calculate f(d(s)).
892*s
Suppose a - 6 = -a. Let y(p) = -p**2 + 12*p - 12*p - a*p**2. Let x(f) = -f**2 + 4. Let i(r) = -r**2 + 5. Let h(z) = 4*i(z) - 5*x(z). Determine y(h(t)).
-4*t**4
Let l(y) = -y**2. Let b(t) = 558*t - 289537 + 289537. Calculate b(l(j)).
-558*j**2
Let x(p) = 12*p - 8. Let o(w) = 10*w - 6. Let y(u) = 4*o(u) - 3*x(u). Let g(c) = 5*c**2. Determine g(y(r)).
80*r**2
Let d(s) = -s - 3. Let r(a) = -12*a**2 + 5*a. Let u(g) = -7*g**2 + 3*g. Let f(c) = 3*r(c) - 5*u(c). What is f(d(x))?
-x**2 - 6*x - 9
Let a(d) = 0*d + 164*d**2 + 0*d - 166*d**2. Let l(v) = 34*v**2. Calculate a(l(p)).
-2312*p**4
Let v(x) = 442*x**2 - 2*x. Let d(h) = -h**2. Give v(d(r)).
442*r**4 + 2*r**2
Let w(z) = 2*z. Let m(l) = 132051*l**2. What is m(w(i))?
528204*i**2
Let k(v) = -v**2. Suppose 5*u = -3*j - j + 28, 28 = 4*j + 2*u. Let m(c) = 5*c. Let t(x) = 3*x + 4*x + 0*x - x. Let g(d) = j*m(d) - 6*t(d). What is k(g(o))?
-o**2
Let c(o) be the second derivative of o**4/3 + 77*o. Let y(r) = -r**2. Give y(c(x)).
-16*x**4
Let f(p) = -507378*p. Let c(z) = -2*z. What is f(c(q))?
1014756*q
Let b(l) = -5*l. Let n = -51 + 48. Let t(x) = -4. Let s(r) = -r - 3. Let i(y) = n*t(y) + 4*s(y). Give i(b(v)).
20*v
Let g(l) = 113*l**2. Let i(c) be the third derivative of -c**5/30 + 37*c**2 + c. What is i(g(j))?
-25538*j**4
Let h(p) = -2*p. Let x(y) = -10*y**2 - 7*y - 608. Let u(m) = 4*m**2 + 3*m + 304. Let d(c) = -7*u(c) - 3*x(c). Give d(h(q)).
8*q**2 - 304
Let z(f) = 21*f**2 - 9. Let p = 18 - 9. Let r(m) = -11*m**2 + 4. Let i(j) = p*r(j) + 4*z(j). Let l(c) be the second derivative of -c**3/6 - 19*c. Give l(i(b)).
15*b**2
Let c(n) = 5*n. Let l(b) = 1. Let i be (-6)/(3 - (-15)/(-6)). Let g(q) = 5*q - 4. Let p(r) = i*l(r) - 3*g(r). What is p(c(s))?
-75*s
Let o(i) = -i**2. Suppose 0 = 3*a - 0*a - 141. Let s(q) = 21*q + 21*q - a*q. Determine s(o(z)).
5*z**2
Let b(x) = -4*x**