- 1. Suppose 9*q = 4*q + 35. Let b be u(q). Let s(p) = b*p + 3*p - 5*p. Let r(z) = 2*z. Give r(s(h)).
8*h
Let p(t) = -2*t**2. Suppose -i = -2*i - 2. Let b = 4 + i. Let u(m) = 0*m - b*m + 4*m. What is u(p(j))?
-4*j**2
Let k(w) = 5*w**2 - 6*w. Let v(q) be the second derivative of -q**4/3 + 5*q**3/6 + 2*q. Let g(y) = 5*k(y) + 6*v(y). Let l(u) = u. Determine g(l(b)).
b**2
Let r(f) = -f - 2321. Let m(b) = -2*b. Give m(r(l)).
2*l + 4642
Let z(o) = -o + 4*o + 0*o - 2*o - 1. Let d(j) = -2*j**2. Calculate z(d(m)).
-2*m**2 - 1
Let i(w) = 2*w**2. Let j(q) be the first derivative of -9*q**2 - 7. Determine i(j(z)).
648*z**2
Let j(m) = -m. Suppose 0 = 4*q + 5*i - 23, -4*q + 3 = 2*i - 11. Let t(s) be the first derivative of -2 - 19*s**2 + s**3 + 19*s**q. What is j(t(g))?
-3*g**2
Let z(l) = l. Let v be z(2). Suppose -4 = -v*c - 3*h, 0 = c + 2*c - 2*h - 6. Let q(t) = -c*t**2 - t**2 - 2*t**2 + 4*t**2. Let p(w) = -w**2. Give p(q(o)).
-o**4
Let v(o) be the third derivative of 0*o**4 + 0 + 0*o**3 + 5*o**2 + 1/12*o**5 + 0*o. Let f(p) = p**2. Determine f(v(q)).
25*q**4
Let w(x) = 4*x**2. Let u(b) = 7*b**2 + 20*b. Calculate u(w(c)).
112*c**4 + 80*c**2
Let p(f) = 0 + 3*f + 3*f + 0. Let c(g) = -4*g**2. Determine p(c(h)).
-24*h**2
Let k = 9 + -2. Suppose -4*m - 6 = -k*m. Let w(a) = 1 + 3*a + m - 3. Let p(r) = -r. Give p(w(q)).
-3*q
Let h(v) = -v. Let b(p) = -8*p + 2 + 1 - 3. Determine b(h(f)).
8*f
Let k(i) = -11*i**2. Let s(d) = -3*d + 4*d - d + 2*d. Calculate s(k(y)).
-22*y**2
Let d(v) = 3*v**2 + 2. Let t(p) = 8*p**2 + 7. Let s(f) = -7*d(f) + 2*t(f). Let x(g) = g. Give s(x(i)).
-5*i**2
Let v(t) = -3*t. Let d(k) = k. Let g(l) = -6*d(l) - v(l). Suppose -9 = -4*p - 5*x - 2, -5*p + 18 = -3*x. Let r(z) = -p - 2 + 5 - z. Determine r(g(o)).
3*o
Let f(z) = z**2 - 1. Let a(w) = -2*w**2 + 6*w**2 - 4 - w**2. Let n(c) = -a(c) + 4*f(c). Let h(q) = -2*q**2 + 2*q**2 - q**2. Give h(n(u)).
-u**4
Let b(m) = -m. Let w(j) = 902*j. What is b(w(h))?
-902*h
Let c(r) = -10*r**2. Let f(a) = -a**2. Let b(x) = 2*c(x) - 22*f(x). Let g(m) = -7*m. Give b(g(p)).
98*p**2
Let t(d) = d**2. Let i(r) be the second derivative of 59*r**4/12 + r**2 + 3*r + 13. Calculate i(t(x)).
59*x**4 + 2
Let w(y) = 4*y + 0*y - 3*y. Let o(m) = -4*m. Determine w(o(u)).
-4*u
Let o be (12/18)/(2/3). Let z(t) = 10*t**2. Let v(f) = -f**2. Let s(u) = o*z(u) + 12*v(u). Let q(x) = 2*x**2. Determine s(q(m)).
-8*m**4
Suppose 3*o + 4 = 13. Let s = o - 2. Let n(l) = s + 2 - 3 + 2*l. Let g(w) = w**2. Calculate n(g(i)).
2*i**2
Let i(u) be the first derivative of 10*u**3/3 + 3*u - 5. Let r(m) = m**2. What is i(r(f))?
10*f**4 + 3
Let k(l) be the third derivative of -1/60*l**5 + 0*l**4 + 0*l**3 + 0 + 0*l + 3*l**2. Let t(w) = -6*w**2. Calculate t(k(n)).
-6*n**4
Let y(t) = -3*t**2. Let u(k) = -34*k + 2. Calculate y(u(v)).
-3468*v**2 + 408*v - 12
Let j(c) = -4*c**2 - 7. Let m(p) = 2*p - 21. Let r be m(14). Let g(h) = 3*h**2 + 6. Let u(w) = r*g(w) + 6*j(w). Let q(s) = -2*s. Calculate q(u(b)).
6*b**2
Let g(m) = 2*m**2. Let r(j) = -45*j. Let s(z) = 45*z. Let h(v) = 3*r(v) + 4*s(v). Determine g(h(n)).
4050*n**2
Let j(u) = -9*u. Let g(f) = -f + 3. Let b(i) = 4. Let q(v) = 6. Let d(n) = 7*b(n) - 5*q(n). Let z(r) = -3*d(r) - 2*g(r). Give j(z(m)).
-18*m
Let h be -5*6*4/(-30). Let x(z) = 1 - 3 - h*z + 2. Let c(i) be the third derivative of -i**4/12 + i**2. Calculate c(x(t)).
8*t
Let u(v) = 2. Let q(d) = -d + 10. Let b(r) = -2*q(r) + 10*u(r). Let g(y) = -5*y**2. Determine g(b(s)).
-20*s**2
Let a(k) = 0*k + 2*k - 3*k. Let u be 4 + 2 + -1 + -3. Let j(t) = -t**2 - 6 - 2*t**u + 6. Determine j(a(x)).
-3*x**2
Let k(c) be the third derivative of c**5/5 - 6*c**2. Let v(h) = -3*h. What is k(v(n))?
108*n**2
Let c(m) = -m. Suppose 6*r = 2*r + 16. Let y(k) = -154 + r*k + 154. Give c(y(w)).
-4*w
Let c(o) = o**2. Let j(s) be the second derivative of 2/3*s**3 + 0*s**2 + 0 + 2*s. Give c(j(h)).
16*h**2
Let z(g) = -12*g. Let w(t) = -11*t**2. Calculate z(w(y)).
132*y**2
Let q(a) be the first derivative of -a**3/6 + a + 3. Let i(d) be the first derivative of q(d). Let u(l) = l**2. Determine i(u(k)).
-k**2
Let c(x) = -64 + 64 - 2*x. Let z(m) = m**2. What is c(z(i))?
-2*i**2
Let k(s) = -2*s. Let f(l) = 285*l**2. What is k(f(z))?
-570*z**2
Suppose 0*z = z - 4. Let p(l) = z*l**2 - 6*l + 6*l. Let x(w) be the first derivative of 3*w**2/2 + 4. Calculate p(x(n)).
36*n**2
Let g(n) be the second derivative of n**3/3 + 2*n. Let o(c) = 20*c. Give g(o(q)).
40*q
Let m(v) = 5*v + 0*v - 5*v + 5*v. Let z(q) = -2*q**2. What is z(m(r))?
-50*r**2
Let y(r) = 7*r**2. Let w(k) = -23*k. What is w(y(b))?
-161*b**2
Let a(x) = 4*x. Let y(o) = -2*o**2 - 142*o. Give y(a(t)).
-32*t**2 - 568*t
Let z(q) = 4*q + 72. Let t(s) = -3*s**2. Calculate z(t(r)).
-12*r**2 + 72
Let z(d) = 3*d. Let x(o) be the second derivative of 0 + 1/6*o**3 + 0*o**2 + 2*o. What is z(x(w))?
3*w
Let s(m) be the second derivative of m**4/6 - 5*m. Let p(k) = -3*k + 2. Let h(b) = -10*b + 7. Let g(t) = -6*h(t) + 21*p(t). Determine g(s(u)).
-6*u**2
Let j(q) = q**2 + 6*q. Let v(t) = 4*t. Determine j(v(i)).
16*i**2 + 24*i
Let u(t) = -3*t**2. Let o(b) = -2*b**2 + 60*b + 9. Give o(u(h)).
-18*h**4 - 180*h**2 + 9
Let x(g) = 2*g. Let w(u) be the third derivative of 13*u**5/60 - u**2. Determine w(x(o)).
52*o**2
Let y(j) = 28*j. Let l(m) = 5*m**2. Calculate y(l(b)).
140*b**2
Let r(p) = -p. Suppose -3*f + 6 = -3. Let c(y) = -3*y**2 - 5*y**2 + f*y**2. What is c(r(z))?
-5*z**2
Let k(r) = -23*r - 4. Let j(x) = -22*x - 3. Let t(d) = 4*j(d) - 3*k(d). Let u(c) = -2*c. What is u(t(i))?
38*i
Let i(w) be the second derivative of 2*w**3 + 14*w. Let o(a) = -a**2. Give o(i(v)).
-144*v**2
Let l(y) = -3*y + 2*y - y + 3*y. Let f(n) be the third derivative of n**4/12 - n**2. Calculate l(f(b)).
2*b
Let r(m) = -m**2 + 3*m. Let j = -13 + 10. Let f(h) = -6*h**2 + 16*h. Let s(o) = j*f(o) + 16*r(o). Let p(v) = 3*v**2. Calculate p(s(z)).
12*z**4
Let d(i) be the third derivative of 5*i**4/12 - i**2. Let n(y) = y**2 - 1. Let l(x) = 3*x**2 - 5. Let a(u) = l(u) - 5*n(u). Calculate a(d(q)).
-200*q**2
Suppose -4*m - v - 5 = 2*v, 3*v - 3 = 0. Let b(x) = -x**2. Let w(s) = 5*s**2. Let q(u) = m*w(u) - 2*b(u). Let f(i) = -i**2. Give q(f(l)).
-8*l**4
Let h(q) = q. Let s(i) = -17*i**2 + 7*i. What is h(s(t))?
-17*t**2 + 7*t
Let z(i) be the second derivative of -i**3/3 + i. Let u(v) = v**2 + 1197 - 1197. Give z(u(c)).
-2*c**2
Let r(n) = 3*n**2. Suppose -3*t + 6 = -0. Let h(q) = 4*q**2 + 0*q**2 - q**t. Determine r(h(d)).
27*d**4
Let n(f) = 2 - 2 - 3*f**2. Let b(k) be the second derivative of 5*k**4/12 - 42*k. Give b(n(o)).
45*o**4
Let m(l) = 27*l**2. Let r(a) = 38*a**2. What is m(r(s))?
38988*s**4
Let l(i) be the third derivative of -i**4/24 + i**3 - 3*i**2. Let z be l(4). Let o(c) = 5*c - z*c - c. Let w(b) = b. Determine o(w(j)).
2*j
Let r(l) be the first derivative of l**4/12 + l**2/2 + 2. Let v(o) be the second derivative of r(o). Let t(s) = 4*s - 4*s + s**2. Determine t(v(d)).
4*d**2
Let g(l) = 4*l**2. Let s(m) = 885*m. Let n(a) = -17*a. Let b(w) = 105*n(w) + 2*s(w). Give b(g(q)).
-60*q**2
Let s = 5 + -8. Let d = -1 - s. Let v(m) = 2*m**2 - m**2 + 2*m**d. Let i(o) = -o**2. What is v(i(b))?
3*b**4
Let n(a) = 40*a**2 - 7*a. Let j(x) = -2*x. What is j(n(t))?
-80*t**2 + 14*t
Let f(v) = 3*v. Let b(x) = -4*x - 3. Let i(c) = 5*c + 2. Let n(j) = 2*b(j) + 3*i(j). Calculate f(n(q)).
21*q
Let o(c) = 2*c**2 + 8*c**2 - 5*c**2. Let v(d) = -2*d**2. What is v(o(x))?
-50*x**4
Let k(p) = -7*p**2 - 5*p. Let n(i) = -3*i**2 - 2*i. Let h(v) = 2*k(v) - 5*n(v). Let f(q) = q. Give h(f(m)).
m**2
Let l(q) = 2*q**2. Let v(o) = 8*o + 7. Let r(n) = -n - 1. Let s(u) = -35*r(u) - 5*v(u). Calculate s(l(z)).
-10*z**2
Let j(m) = -13*m. Let t(q) = 16*q. What is t(j(h))?
-208*h
Let f(d) be the first derivative of 2*d**2 - 2 + 0*d**2 - 1 + 0. Let n(g) be the third derivative of -g**4/24 - g**2. Give f(n(t)).
-4*t
Let w(p) = 3*p. Let a(f) = 25*f**2 - 11*f. What is a(w(h))?
225*h**2 - 33*h
Let s(y) = 58*y. Let t(w) = 7*w. Determine s(t(g)).
406*g
Let s = -2 - -2. Let x(h) = -2*h + h + s*h. Let o(i) = -6*i**2. Determine o(x(y)).
-6*y**2
Let w(s) = 1835*s**2. Let r(d) = 18*d**2. What is w(r(c))?
594540*c**4
Let t(u) = -4*u**2. Let c(l) = -5*l**2. Let o(v) = -5*c(v) + 6*t(v). Let f(n) be the second derivative of n**