i(c)).
-20*c**2
Let c(j) = -6*j. Let u(a) = -17 + 27 - 10 - 4*a. Give u(c(b)).
24*b
Let a(y) be the third derivative of y**5/120 - 4*y**3/3 + y**2. Let v(o) be the first derivative of a(o). Let r(k) = k. Calculate v(r(i)).
i
Let w(l) = -2*l. Let x(n) = -148*n - 2. Give x(w(u)).
296*u - 2
Let b(i) = 2*i. Let u(q) = -12*q**2 + 34. Let f(x) = -x**2 + 3. Let z(k) = -68*f(k) + 6*u(k). Determine b(z(n)).
-8*n**2
Let v(j) = -120*j. Let i(w) = -129*w**2. Give v(i(h)).
15480*h**2
Let m(w) = 1 + 0*w - w + 5*w + 0*w. Let l(k) = -2*k. Give m(l(o)).
-8*o + 1
Let t(k) be the third derivative of -k**4/24 - 15*k**2. Let g(o) = -19*o. What is t(g(r))?
19*r
Let b(m) = -98 + 98 + m. Let r(d) = d**2. What is r(b(q))?
q**2
Let n(i) = i - 2*i + 0 + 0. Let q(r) = 3*r**2. Determine n(q(d)).
-3*d**2
Let l(c) be the second derivative of c**3/6 - 10*c. Let g(r) = -4*r**2. Give l(g(i)).
-4*i**2
Let k(w) = -17*w - 13. Let x = -8 - -17. Let t(l) = -3 + 8*l + 0 + x. Let g(y) = -6*k(y) - 13*t(y). Let p(j) = j. Give g(p(r)).
-2*r
Let x(p) = -13*p. Let w(j) = -10*j**2 - 11*j**2 - 10*j**2 + 32*j**2. Determine x(w(b)).
-13*b**2
Let m(b) = 9399*b. Let f(d) = -d**2. What is m(f(k))?
-9399*k**2
Let n(x) = -x**2 - 13 + 13. Let h(a) = a. Calculate n(h(v)).
-v**2
Let w(k) = k**2 + k. Let b(r) = -8*r**2 - 6*r. Let p(h) = b(h) + 6*w(h). Let y(m) = -2*m**2 + 5 - 2 - 3. Calculate p(y(a)).
-8*a**4
Let k(v) = v. Suppose -4*f = -8 - 4. Suppose f*g - 3*x = 12, -2*g - x = -2*x - 9. Let i(w) = 4*w - w - g*w. What is i(k(u))?
-2*u
Let c(m) = -29*m - m + 31*m. Let i(k) = -20*k**2 - k. Give c(i(n)).
-20*n**2 - n
Let f(i) = -7*i. Let s(m) = -297*m. Determine f(s(a)).
2079*a
Let t(u) = 11184*u. Let r(j) = j. What is r(t(k))?
11184*k
Let d(g) = -2*g. Let z(v) be the second derivative of 19*v**3/6 - 10*v. Give d(z(h)).
-38*h
Let o(q) be the second derivative of 0*q**2 + 0*q**3 - 7/12*q**4 + 0 - 3*q. Let g(p) = -p. Determine o(g(t)).
-7*t**2
Let k(s) = s. Let i(g) = -2*g**2 + 5*g. Let p(a) = 2*a**2 + a. Let t(h) = h**2. Let l(n) = -p(n) + 3*t(n). Let o(y) = i(y) + 5*l(y). Give k(o(j)).
3*j**2
Let i(w) = -9*w**2. Let y(a) = 3*a + 122. What is y(i(t))?
-27*t**2 + 122
Let b(y) = 2*y. Let i(x) = -40 + 40 + 13*x. Calculate i(b(f)).
26*f
Let y(u) = 5*u. Let m(k) = k + 1. Suppose 5*o = o - 24. Let n(f) = f**2 - 3*f - 3. Let g(j) = o*m(j) - 2*n(j). Calculate y(g(a)).
-10*a**2
Let p(n) = 0 + 0 - 162*n**2 + 160*n**2. Let q(a) = -3*a**2. What is p(q(o))?
-18*o**4
Let n(i) = -2*i. Let o = 1 + -5. Let h = -2 - o. Let a(r) = 6*r**2 - r**h - 3*r**2. Give n(a(d)).
-4*d**2
Let u(o) be the first derivative of o**3/3 + 1. Suppose 19 = 3*g - 3*p - 23, -3*p = 12. Let n(k) = 10 - k - g. Calculate n(u(z)).
-z**2
Let h(g) = 3*g + 3*g - 4*g. Let w(f) = 3*f. Determine w(h(d)).
6*d
Let d(f) = 2*f. Let r(y) = 13*y**2. Give d(r(x)).
26*x**2
Let u(o) = -74*o**2 + 4*o. Let h(k) = 2*k. Determine h(u(g)).
-148*g**2 + 8*g
Let z(v) = v**2 - 5 + 16 - 11. Let n(w) = 2*w + 21. Give z(n(f)).
4*f**2 + 84*f + 441
Let q(y) = -19*y. Let h(i) = 78*i - 1. Calculate h(q(x)).
-1482*x - 1
Suppose -2*b = -7 + 3. Let v(k) = 2 + 3*k - b - 5*k. Let s(y) = -4*y**2. Determine v(s(l)).
8*l**2
Let p(i) = -i. Let x(j) = -625*j. What is x(p(c))?
625*c
Let l(u) be the first derivative of -34*u**2 + u - 48. Let p(y) = -2*y**2. What is p(l(x))?
-9248*x**2 + 272*x - 2
Let q(u) = -2*u. Let z(h) be the first derivative of -33*h**2/2 + 18. Determine z(q(k)).
66*k
Let s(k) = 3*k**2. Let i(q) be the second derivative of q**7/1260 + q**4/6 + 2*q. Let z(b) be the third derivative of i(b). Calculate z(s(n)).
18*n**4
Let g(c) = -6*c. Let m(b) = b - 20. Give m(g(f)).
-6*f - 20
Let j(c) = -8*c. Let z(o) = -2*o**2 + 8*o - 4. Let q be z(3). Let k(v) = v**2 - 2*v**2 - 2*v**q + 2*v**2. Give j(k(b)).
8*b**2
Let z(f) = -11*f - 12*f + 21*f. Let m(r) = r. What is m(z(i))?
-2*i
Let b(r) = 50*r**2 + 36. Let k(j) = -2*j. Determine b(k(n)).
200*n**2 + 36
Let x(f) = -82*f - 2*f + 43*f. Let t(y) = 2*y**2. What is x(t(n))?
-82*n**2
Let k(z) = -z**2. Let c(p) be the second derivative of 0*p**2 + 0*p**3 + 0 - p - 7/12*p**4. What is c(k(n))?
-7*n**4
Let k(a) = 4*a**2 + 56*a - 56*a. Let n(j) = 3*j**2. Calculate n(k(x)).
48*x**4
Let f(n) be the first derivative of -n**2/2 - 7. Let p(v) be the third derivative of v**5/30 + 3*v**2. Give p(f(t)).
2*t**2
Let q(o) be the first derivative of -14*o**3/3 + 10. Let r(k) = 2*k**2. Give q(r(j)).
-56*j**4
Let q(x) = 3*x**2. Let g(s) be the second derivative of -1/4*s**4 + 0*s**2 - s + 0*s**3 + 0. What is g(q(d))?
-27*d**4
Suppose -3 = -2*r + 3. Let w(a) = r - 4*a - 3 + 9*a. Let s(g) = -2*g**2. Calculate s(w(x)).
-50*x**2
Let s(i) = -24*i + 20. Let v(w) = 2*w**2. What is v(s(a))?
1152*a**2 - 1920*a + 800
Let z(r) be the first derivative of r**2/2 - 4. Let s(b) = -2*b. Calculate z(s(u)).
-2*u
Let f(t) = -2*t + 579. Let x(c) = 2*c. What is f(x(m))?
-4*m + 579
Let i(o) = 2*o. Let b(v) = 7 + 3*v**2 - 2*v**2 + 1. Let j(f) = 1. Let g(h) = -6. Let s(m) = -g(m) - 5*j(m). Let p(x) = -3*b(x) + 24*s(x). What is i(p(r))?
-6*r**2
Let w(g) = -7*g. Let l(s) = -138*s. Give w(l(t)).
966*t
Let z(w) = -7*w. Let c(k) = -5*k**2 - 6*k - 6. Let n(x) = 9*x**2 + 11*x + 11. Let d(m) = 11*c(m) + 6*n(m). What is d(z(a))?
-49*a**2
Let c(o) = -o - 5. Let m be c(-6). Suppose 11 = 5*p + m. Let n(q) = -q**2 - 2*q**p + q**2. Let z(r) = 3*r. Determine z(n(l)).
-6*l**2
Let g(y) = 2*y**2. Suppose 11 = 4*x - b, 3*x + 2*b - 6 = 5. Suppose 8*l = x*l. Let p(c) = l*c + 7*c - 4*c. Determine p(g(d)).
6*d**2
Let g(u) be the third derivative of -u**4/12 - 2*u**2. Let y(s) = 5*s**2 + 11*s - 11. Let q(v) = v**2 + 2*v - 2. Let d(l) = 33*q(l) - 6*y(l). Determine d(g(j)).
12*j**2
Let z(x) = x + x + 2*x. Let i(a) = 14*a**2 - 26*a**2 + 13*a**2. What is z(i(t))?
4*t**2
Let v(i) = -2*i. Let u(q) = 4*q**3 - q**2 + q. Let r be -3*(-1)/3 - 0. Let l be u(r). Let f(m) = 2*m**2 - l + 4. Calculate v(f(h)).
-4*h**2
Let j(o) = -o + 2. Let y(a) = -5*a + 7. Let w(c) = 4*c - 6. Let v(t) = -7*w(t) - 6*y(t). Calculate j(v(l)).
-2*l + 2
Let z(n) = n + 19. Let s(j) = 168*j. Determine s(z(w)).
168*w + 3192
Let s(k) be the third derivative of k**4/8 - 3*k**2. Let a(g) be the first derivative of 0*g**2 + 2 - 1/3*g**3 + 0*g. Determine a(s(t)).
-9*t**2
Let d(p) = -p. Let q(x) = 991*x**2. Calculate d(q(s)).
-991*s**2
Let u(f) = 2*f**2. Let p(b) = b**2. Let d(v) = 7*p(v) - 4*u(v). Let n(c) = 3*c - 2. Let s(o) = 12*o - 9. Let j(k) = 9*n(k) - 2*s(k). Determine d(j(x)).
-9*x**2
Let z(b) = 3*b**2. Let h(f) = -134*f + 262*f - 130*f. Determine h(z(t)).
-6*t**2
Let u(b) = -5*b**2. Suppose 2*f + 5*p = 7*f + 60, -48 = 4*f + p. Let k(g) = -g. Let l(s) = 10*s. Let d(h) = f*k(h) - l(h). What is u(d(q))?
-20*q**2
Let a(b) = 3*b**2 - 14*b. Let f(u) = u - 5. Determine a(f(q)).
3*q**2 - 44*q + 145
Let v(s) = -s + 31. Let x(q) = -2*q. Give v(x(b)).
2*b + 31
Let b(w) = -2*w - 373. Let s(o) = -7*o**2. What is s(b(t))?
-28*t**2 - 10444*t - 973903
Suppose 4*r + 16 = 3*f, -2 = -4*r - 6. Let c(a) = a**2 - f*a**2 + 4*a**2. Let s(l) = l**2. Determine s(c(d)).
d**4
Let p(n) = -2*n**2. Let k(c) be the third derivative of c**6/360 + c**4/8 + 4*c**2. Let b(f) be the second derivative of k(f). What is p(b(u))?
-8*u**2
Let q(x) = 8*x. Let f(m) = -20*m. Give q(f(d)).
-160*d
Let r(k) = 21*k**2. Let h(c) = 4*c**2. Let y(u) = -11*h(u) + 2*r(u). Let z(x) = 32*x**2 - 1. Give y(z(v)).
-2048*v**4 + 128*v**2 - 2
Let z(f) = -3*f**2. Let u(c) = -3*c**2 + 4. Let w(h) = 5*h**2 - 7. Let d(j) = 7*u(j) + 4*w(j). Give z(d(k)).
-3*k**4
Suppose -l = -5*s + 10, -l + 3*s - 5 = 3. Let f(j) = j**2 - 6. Let v(i) = -i**2 + 5. Let o(h) = l*f(h) - 6*v(h). Let p(q) = -8*q. Give o(p(m)).
64*m**2
Let l(p) = -2*p. Let c(q) be the third derivative of q**4/4 - 11*q**2. Determine c(l(d)).
-12*d
Let v(r) = -6*r. Let w(h) = -h**2 + 30*h. Determine v(w(f)).
6*f**2 - 180*f
Let d(i) be the third derivative of -i**5/30 - i**2. Let s(n) = 3. Let g(l) = l**2 + 5. Let a(y) = -3*g(y) + 5*s(y). Determine a(d(x)).
-12*x**4
Let r(a) = -3*a. Let j(x) = -43*x**2 - 4*x - 8. Let z(n) = 517*n**2 + 47*n + 94. Let v(w) = -47*j(w) - 4*z(w). Determine v(r(t)).
-423*t**2
Let b(u) = -9*u - 4. Let d(q) = -7*q - 3. Let m(h) = -3*b(h) + 4*d(h). Let r(w) = 2*w**2 + 78. Give r(m(p)).
2*p**2 + 78
Let p(z) = -41 + 17 + 24