6. What is a(r(x))?
943*x**2 - 2
Let u(m) = -m**2 - 971*m + 12. Let z(b) = -5*b - 88. Determine z(u(f)).
5*f**2 + 4855*f - 148
Let r(a) = -7*a**2. Suppose -h = 4*x - 18, -4*x + h - 3 + 25 = 0. Let l(u) = x - 11*u - 5 + 3*u - u**2 + 4*u. Determine l(r(y)).
-49*y**4 + 28*y**2
Let g(x) be the first derivative of -7*x**4/12 + x**3/3 + 11*x + 55. Let q(p) be the first derivative of g(p). Let f(a) = -a**2. Calculate q(f(w)).
-7*w**4 - 2*w**2
Let m(i) be the first derivative of -5*i**2/2 + 3579. Let h(d) = 125*d**2 - 3*d. What is m(h(u))?
-625*u**2 + 15*u
Let y(w) = 15*w. Suppose k = -3*b + 40, -b + 2*k = b - 40. Let q(r) = -2*r**2 - 25*r**2 + 4*r**2 + b*r**2. Calculate y(q(a)).
-120*a**2
Let v(p) = p**2 + 580*p - 1. Let b(g) = -2756*g. Determine b(v(z)).
-2756*z**2 - 1598480*z + 2756
Let w(y) = 748*y. Let b(c) = -49*c**2 - 3*c. What is b(w(u))?
-27415696*u**2 - 2244*u
Let r(h) = -4*h. Let u(i) = -9*i. Let g(a) = 5*r(a) - 2*u(a). Let n(t) be the first derivative of -7*t**2 - 2 - t**3 - 67 + 7*t**2. What is g(n(p))?
6*p**2
Let k(t) = t - 1. Let h(n) = -3*n + 2. Let r(m) = h(m) + 2*k(m). Let x(b) be the second derivative of 9*b - 1/6*b**3 + 1 + 0*b**2. Calculate x(r(d)).
d
Let w(q) = 18*q. Suppose m - 2*i - 3861 = 0, 7*i = 4*m + 10*i - 15400. Let b(c) = -3853 - c + 8*c**2 + c + m. Determine b(w(u)).
2592*u**2
Let f(n) = 2*n**2 + 104. Let y(h) = 68. Let b(d) = -5*d + 204. Let v(t) = -b(t) + 3*y(t). Give f(v(u)).
50*u**2 + 104
Let w(m) = -m. Suppose -75 = -5*h - 3*j + 4*j, 0 = 2*h - 4*j - 30. Let d(f) = 2*f**2 - 2*f + 3. Let i be d(3). Let v(o) = -o - h + 7*o + i. Calculate v(w(z)).
-6*z
Let w(k) = -1478 + 4335 - 1443 - 1464 + 2*k. Let m(c) = -c + 1. Let d(y) = -5*y + 3. Let q(t) = d(t) - 3*m(t). Give w(q(u)).
-4*u - 50
Let t(u) = -u**2 - 9*u. Let y(r) = 3513362*r. What is y(t(n))?
-3513362*n**2 - 31620258*n
Let l(v) = -2*v**2. Let b = 41 + -37. Let n be b/6*(1 + -2 + 4). Let j(q) = 28*q**2 - 39*q**n + 33*q**2. Calculate j(l(o)).
88*o**4
Let m(h) = -h**2 - 2490641. Let j(w) = -2*w**2. Give m(j(k)).
-4*k**4 - 2490641
Let d(i) = 3878*i**2 + 2. Let v(s) = -17*s + 2. Calculate v(d(x)).
-65926*x**2 - 32
Let v(u) = -3*u**2 - 1855697. Let p(n) = -2*n. Determine p(v(k)).
6*k**2 + 3711394
Let u(d) = -70*d**2. Let x(j) = -18*j - 4*j + 38*j**2 + 35*j - 13*j. Give x(u(t)).
186200*t**4
Let x(z) = -8296490*z - 1. Let w(o) = 8*o**2. Give x(w(g)).
-66371920*g**2 - 1
Let y(c) = -18*c + 152. Let h(j) = -2*j + 16. Let v(x) = -19*h(x) + 2*y(x). Let b(n) = -2080*n. What is v(b(k))?
-4160*k
Let q(y) = -292*y**2 - 280*y**2 + 569*y**2. Let s(x) = 53*x**2. Give s(q(o)).
477*o**4
Let f = 234 + -233. Let v(w) = 6*w**2 + w - w**2 - 4*w**2 - 3 + 2. Let q(z) = -3*z**2 + z - 1. Let r(k) = f*v(k) - q(k). Let u(n) = -2*n**2. Determine u(r(y)).
-32*y**4
Let y(p) = 17277*p + 267. Let w(v) = -9*v. Calculate y(w(g)).
-155493*g + 267
Suppose 0 = -5*t - m + 176, 3*m = -5*t + 141 + 37. Let y(s) = 2*s - t + 35 + 0*s. Let c(f) be the second derivative of -f**4/2 - 2*f. Calculate c(y(u)).
-24*u**2
Let u(q) = 2*q**2 - q - 2. Let z(m) = m**2 - 3*m - 13. Let j(s) = 3*u(s) - z(s). Let d(y) = 4*y**2. What is d(j(t))?
100*t**4 + 280*t**2 + 196
Let c(a) = 15*a - 73. Let u be c(6). Let b(h) = -38 + 21 + u + h**2. Let s(j) = 8*j + 11. Let p(m) = -4*m - 6. Let x(f) = 11*p(f) + 6*s(f). What is x(b(n))?
4*n**2
Let x(b) = -2*b**2 + 116*b. Let j(n) be the third derivative of -n**5/12 - 2*n**2 + 82*n. Determine x(j(z)).
-50*z**4 - 580*z**2
Let r(j) = -8405501*j. Let h(d) = 2*d**2. Determine h(r(i)).
141304894122002*i**2
Let b(q) = 5*q**2. Let r = 17 + -17. Suppose r = 4*k - 3*d - 3, -2*d = -k - 7*d - 5. Let f(j) = j**2 + 5*j**2 + k*j**2 - 5*j**2. What is b(f(g))?
5*g**4
Let z(j) = 4*j. Let s(h) = 2617275*h. Calculate z(s(u)).
10469100*u
Let y(w) = 62767249*w. Let g(p) = 4*p. Calculate y(g(s)).
251068996*s
Let y(s) = -2943*s. Let x(z) = -36*z. Determine y(x(t)).
105948*t
Let x(u) = -5*u - 23. Let t be x(12). Let h = 113 + t. Let j(k) = 8*k + 16*k + h*k - 25*k. Let l(a) = a. What is l(j(f))?
29*f
Let w(d) = -43*d**2. Let k = 2450 - 14699/6. Let p(h) be the second derivative of 0*h**3 + k*h**4 + 0*h**2 + 8*h + 0. Give w(p(l)).
-172*l**4
Let g(h) = -15*h**2 - 6*h + 1. Let f(b) = -26000*b**2 - 10500*b + 1750. Let a(n) = -2*f(n) + 3500*g(n). Let p(m) = -22*m**2. What is a(p(d))?
-242000*d**4
Let q(c) = -4*c**2 - 2. Let w(j) = 360*j**2 + 176. Let p(f) = 176*q(f) + 2*w(f). Let l(h) = 3*h - 7*h - 3*h. Determine l(p(o)).
-112*o**2
Let b(a) = -19*a. Let i = -1615 + 1630. Let d(g) be the second derivative of i*g + 0*g**2 - 1/6*g**3 + 0. Calculate b(d(l)).
19*l
Let p(u) = -284*u. Let n(h) = -13*h**2 - 291*h. What is p(n(b))?
3692*b**2 + 82644*b
Let l(c) = -193*c**2. Let s(q) be the second derivative of 5*q**4/3 - 10*q + 44. Determine l(s(w)).
-77200*w**4
Let i(x) = 1309*x**2 - 1272*x**2 + 7 - 7. Let k(w) = -w**2. What is i(k(q))?
37*q**4
Suppose 17*d - 28 = 3*d. Let r(h) = 55*h**d + 164*h - 164*h. Let t(n) = n. Give t(r(x)).
55*x**2
Let w(s) = -71 - 53 + 124 - 6*s**2. Suppose 4*b - 97 = -5*d, -3*d - 8 = -4*d + 3*b. Let v(a) = 10 + 7 - d + 3*a. What is w(v(k))?
-54*k**2
Let t(i) = 3*i - 36. Let w(l) = -10*l + 126. Let z(s) = -7*t(s) - 2*w(s). Let j(b) be the first derivative of -178*b**2 + 3. What is z(j(h))?
356*h
Let z(m) = -6*m + 154*m + 889 + 285*m - 889. Let n(t) = 2*t. Calculate z(n(a)).
866*a
Let t(j) = 489285*j + 6. Let w(z) = 25*z. Calculate t(w(k)).
12232125*k + 6
Let z(y) = 1617*y**2 - 15. Let t(g) = 1621*g**2 - 18. Let k(j) = 5*t(j) - 6*z(j). Let a(b) = b. Calculate k(a(l)).
-1597*l**2
Let f(r) = -42*r**2. Let d(l) be the second derivative of -3*l**4/4 - l**2 + 4*l + 21. What is d(f(w))?
-15876*w**4 - 2
Let s(b) = -4*b**2 - 364*b. Let v(h) = -1590*h. What is v(s(g))?
6360*g**2 + 578760*g
Let v(x) be the second derivative of x**3 - 2975*x. Let w(r) be the first derivative of 5*r**2/2 - r + 3. Determine v(w(j)).
30*j - 6
Let j(s) = -3*s**2. Let y(i) be the third derivative of 333*i**4/8 + 9*i**2 + 7*i. What is j(y(m))?
-2994003*m**2
Let s(a) be the second derivative of 0*a**3 + 0*a**2 + 1/6*a**4 + 0 + 41*a. Let g(m) be the third derivative of 7*m**5/60 - m**2. Determine g(s(q)).
28*q**4
Let k(x) = -3*x. Let a(n) = -2*n + 10633674. Determine a(k(l)).
6*l + 10633674
Let p(o) = -7*o**2. Let u be (-8)/64 - (-3481)/8. Let b(n) = 5*n**2 + 435 - u. Determine b(p(v)).
245*v**4
Let t(v) = -v**2 - 22*v. Let l(z) = 80*z**2 - 105. Let q(x) = 9*x**2 - 12. Let d = 49 - 84. Let c(p) = d*q(p) + 4*l(p). Give c(t(u)).
5*u**4 + 220*u**3 + 2420*u**2
Let c(j) = -j**2. Let o(s) be the second derivative of 2*s**3/3 - 139*s**2/2 - 2*s - 159. Give o(c(h)).
-4*h**2 - 139
Let g(z) = -14*z + 42. Let c(l) = -32*l + 105. Let v(x) = 2*c(x) - 5*g(x). Let w(f) = -95*f**2. What is w(v(y))?
-3420*y**2
Let r(l) = -9*l**2. Let n(o) = -18482013*o. Give n(r(y)).
166338117*y**2
Let y(f) = 3*f - 1759. Let k(j) = 271*j. Calculate y(k(p)).
813*p - 1759
Let l(p) = -34*p - 1. Let z(w) = 97528*w. Give l(z(v)).
-3315952*v - 1
Let r(x) = -7805*x. Let q(p) = 16992*p - 2. Give r(q(u)).
-132622560*u + 15610
Let m(y) be the third derivative of -11881*y**4/24 + 9947*y**2. Let w(p) = p. Calculate w(m(o)).
-11881*o
Let m(a) = 62*a - 203. Let t(c) = -4*c + 11. Let n(i) = -2*m(i) - 37*t(i). Let p(z) = -3*z**2 - z**2 + 3*z**2. Determine n(p(b)).
-24*b**2 - 1
Let g(s) be the second derivative of -2*s - 1/3*s**3 + 0 + 0*s**2. Let p(z) = -13 - 272*z + 271*z + 13. Give p(g(o)).
2*o
Let i(u) = 422*u. Let c(t) = 6750*t. What is i(c(v))?
2848500*v
Let o(b) = -4*b. Let r(g) = -4*g. Let k be 44/(-10) - 13/((-520)/16). Let z(s) = 21*s. Let l(u) = k*z(u) - 22*r(u). Calculate l(o(a)).
-16*a
Let t(h) = 7*h**2 + h. Let x(g) = -4. Let j(p) = -2*p + 6. Let d(k) = 8*j(k) + 12*x(k). What is t(d(q))?
1792*q**2 - 16*q
Let v(c) be the third derivative of c**7/2520 - 2*c**5/15 + 3*c**2. Let w(s) be the third derivative of v(s). Let t(j) = -14*j + 5*j - 13*j. What is w(t(k))?
-44*k
Let k(m) = 6*m - 128. Let d(a) = -13*a + 288. Let s(h) = -4*d(h) - 9*k(h). Let x(c) be the third derivative of 11*c**5/60 - 10*c**2. Determine s(x(b)).
-22*b**2
Let i(c) be the second derivative of -c**4/6 + 5*c. Let u(y) be the third derivative of -91*y**4/12 - y**3/6 + 11178*y**2 - 1. Determine u(i(t)).
364*t*