- 6. Let t(l) = 9*o(l) + 14*s(l). Give t(u(i)).
-56*i**2 + 2
Let r(p) = -10340749*p. Let y(f) = -f**2. Calculate r(y(a)).
10340749*a**2
Let u(n) = -4*n**2 + 2*n**2 + 0*n**2. Let p(q) be the second derivative of -2*q**3/3 - 15*q**2/2 - 78598*q. Determine p(u(t)).
8*t**2 - 15
Let m(w) = -5*w**2 + 513881. Let n(s) = 5*s. Give m(n(b)).
-125*b**2 + 513881
Let j(z) = 2*z**2 + 16*z. Let i(w) = 8 - 124*w + 65*w + 62*w. Let m(b) = -5*b - 14. Let a(p) = -7*i(p) - 4*m(p). What is a(j(k))?
-2*k**2 - 16*k
Let a(j) = -5*j**2. Let l(c) = 63*c**2 - 15*c + 2. Determine l(a(w)).
1575*w**4 + 75*w**2 + 2
Suppose 4*u - 22 = -k, 2*k + 27 - 83 = -4*u. Let g(d) = -k - 50 - 67*d**2 + 84. Let j(f) = -3*f. Determine g(j(m)).
-603*m**2
Let y = 388 - 379. Let r(l) = -l + 16 - 8 - 8 - y*l. Let x(w) = 12*w. Determine r(x(a)).
-120*a
Let n(a) be the second derivative of a**7/360 + a**4/3 + 25*a**2/2 + 59*a. Let q(v) be the third derivative of n(v). Let c(p) = -3*p + 5 - 5. Give c(q(b)).
-21*b**2
Let h(q) = 0*q + 0*q - 2*q. Let u(c) be the first derivative of -7*c**2/2 + 11178. Determine u(h(d)).
14*d
Let p(f) be the third derivative of f**5/60 + 6*f**2 - 29*f. Let t(d) = 40*d**2. Calculate t(p(c)).
40*c**4
Suppose 5*f = -0*f. Let s be (-166)/(-2) + f/6. Let m(v) = 83*v - s*v + v**2. Let g(p) = -13*p**2. Calculate g(m(z)).
-13*z**4
Suppose -h - 12 = 4*n + 3, 3*h = -3*n. Suppose -5*q + 2*q + 3*d = -33, 3*d = h*q - 51. Let p(c) = 4*c - 16*c + q*c. Let a(g) = -7*g**2. Determine p(a(w)).
21*w**2
Let a(m) = 6*m**2. Let u(o) = 2064*o + 864. Let c(q) = 295*q + 128. Let l(n) = 27*c(n) - 4*u(n). Calculate a(l(j)).
508086*j**2
Let x(a) be the third derivative of a**5/10 - a**4 - 972*a**2 - a. Let l(o) = 13*o**2. Give x(l(g)).
1014*g**4 - 312*g**2
Let c(f) = f. Let p(r) be the first derivative of -37 + 11/3*r**3 + 0*r**2 + 0*r. What is p(c(h))?
11*h**2
Let s(v) = 53*v + 6. Let u(b) = -41*b - 5. Let m(r) = 5*s(r) + 6*u(r). Let t(w) be the second derivative of -5*w**3/6 + 4*w. Determine t(m(q)).
-95*q
Let w(x) = 1185*x**2. Let z(o) = -158*o + 5. Let r(b) = 189*b - 6. Let g(a) = 5*r(a) + 6*z(a). What is g(w(y))?
-3555*y**2
Let b(p) = -3*p**2 + 4 - 19*p**2 + 0 + 0*p**2 - 2. Let z(d) = -2*d. Calculate b(z(i)).
-88*i**2 + 2
Let y(j) = 2*j**2 - 25*j. Let k(h) = -49*h - 458. Calculate y(k(w)).
4802*w**2 + 90993*w + 430978
Suppose -204 = 4*s - 7*s. Let b(f) = -65*f - s*f + 135*f. Let l(q) be the third derivative of q**4/8 - q**2. Determine l(b(p)).
6*p
Let c(h) = -2156*h**2 + 28. Let b be -7*187/(-385) - (-2)/(-5). Let m(y) = 431*y**2 - 6. Let k(f) = b*c(f) + 14*m(f). Let v(p) = p**2. What is k(v(i))?
-434*i**4
Let z(p) = 459*p**2. Let v(o) be the second derivative of -3*o**4/2 + 7083*o. Determine z(v(a)).
148716*a**4
Let d(p) = -1. Let q(f) = 4*f + 5. Let h(b) = -6*d(b) - q(b). Let z(u) = u**2 - 2*u. Let k(x) = x. Let v(y) = 2*k(y) + z(y). Calculate v(h(i)).
16*i**2 - 8*i + 1
Let y(s) = -429*s**2 + 3*s - 1. Let h(w) = -2*w**2. Calculate y(h(z)).
-1716*z**4 - 6*z**2 - 1
Let z(f) = -f + 46. Let q(h) = 470379*h**2. Give z(q(v)).
-470379*v**2 + 46
Let h(j) = -4*j**2 - 2. Let g(r) = r**2 + 1. Let m(l) = -4*g(l) - 2*h(l). Let d(w) = 722754*w + 722804*w + 722801*w - 2168314*w. What is m(d(u))?
8100*u**2
Let d(n) = 2*n. Let y(j) = 775*j**2 + 4250*j. What is d(y(w))?
1550*w**2 + 8500*w
Let t(k) be the second derivative of k**4/6 + 6699*k. Let a(f) = 227*f**2 - 12. What is t(a(i))?
103058*i**4 - 10896*i**2 + 288
Let t(h) = -78396600*h. Let n(f) = -5*f. Determine t(n(g)).
391983000*g
Let l(h) be the first derivative of 17*h**2/2 - 200. Let u = -1 + 5. Let i(j) = 3*j + 2 - u*j - 2. Determine l(i(t)).
-17*t
Let k(j) = 6661276*j**2. Let x(m) = 9*m**2. Calculate k(x(w)).
539563356*w**4
Let f = -78 - -58. Let t = f - -22. Let i(k) = -1049 + t*k + 1049 + k. Let o(h) = 6*h**2. Give o(i(g)).
54*g**2
Let j(n) = 2*n**2. Let g be 32/(1056/2145)*(1*-2)/(-10). Let m(l) be the first derivative of 19/2*l**2 + 0*l - g. Calculate m(j(w)).
38*w**2
Let i(l) = -6*l**2. Let a(n) = 29748914*n**2. What is a(i(c))?
1070960904*c**4
Let v(i) be the first derivative of -i**4/8 - i**2 + 4*i + 21. Let w(g) be the second derivative of v(g). Let d(z) = z**2 + 21. Determine w(d(j)).
-3*j**2 - 63
Let x(f) be the third derivative of -f**4/4 - f**3 + 23461*f**2. Let y(w) = -2 + 2 + 5*w**2. Determine x(y(b)).
-30*b**2 - 6
Let j(m) = m. Let y(g) = -229*g + 188. Give j(y(q)).
-229*q + 188
Let a(k) = -3*k**2 - 151*k - 1. Let s(c) be the first derivative of -c**3/3 - 13620. Give a(s(x)).
-3*x**4 + 151*x**2 - 1
Let r(m) = 2*m**2. Let v(k) = -7896950*k**2. What is v(r(n))?
-31587800*n**4
Let j(c) = 4*c**2 - 10. Let m(w) = -207*w + 414. Let r be m(2). Let x(y) be the first derivative of 0*y**2 + r*y + 2/3*y**3 + 36. Calculate x(j(q)).
32*q**4 - 160*q**2 + 200
Let q(c) = -34*c + 297. Let i be q(7). Let r(x) = -58*x - i*x + 125*x. Let j(m) be the third derivative of m**5/15 + 2*m**2. Calculate j(r(p)).
256*p**2
Let b(q) = -77*q. Let f(s) = -312*s. What is b(f(p))?
24024*p
Let k = 274 + -272. Let y(w) = 30*w**k - 55*w**2 + 53*w**2. Let j(p) = -3*p. What is y(j(a))?
252*a**2
Let u(q) = q. Let r(g) be the second derivative of 25*g**4 - 652*g - 9. Calculate u(r(j)).
300*j**2
Let n(a) = -2*a**2. Let z(i) = 13*i + 9. Let x = -6 + 8. Let s(f) = -2*f + 3*f + 5*f + 7 - 5 - 3*f. Let k(p) = x*z(p) - 9*s(p). What is n(k(d))?
-2*d**2
Let f(o) = -19*o**2. Let b(t) be the first derivative of -3*t**2 - 4*t - 501. What is f(b(d))?
-684*d**2 - 912*d - 304
Let w(n) be the third derivative of n**5/6 + n**4/6 + 28*n**3/3 - n**2 - 73. Let f(t) be the first derivative of w(t). Let d(q) = 2*q. Calculate d(f(z)).
40*z + 8
Let b(y) = y + 35. Let v be 10/(-8) + ((-2)/(-12))/((-40)/(-380)). Let x(p) be the second derivative of -1 + 0*p**2 + v*p**3 + 2*p. Calculate b(x(t)).
2*t + 35
Let n(v) = 49*v + 11. Let k(i) be the third derivative of 13*i**4/12 + i**3 + 2*i**2. Let q(w) = -11*k(w) + 6*n(w). Let s(m) = 13*m**2. Determine s(q(x)).
832*x**2
Let p(m) = -65539*m - 3. Let d(i) = i**2. Give p(d(u)).
-65539*u**2 - 3
Let f(m) = 3*m**2. Let p(v) be the second derivative of -v**6/360 - v**5/8 - 55*v**3/6 - v**2 + 128*v. Let g(j) be the second derivative of p(j). Give f(g(d)).
3*d**4 + 90*d**3 + 675*d**2
Let y(d) = -d**2 - 8. Let m be 1*-4*5/(-5). Let t(h) = 2*h**2 + 18. Let i(z) = m*t(z) + 9*y(z). Let q(s) = 82*s. What is i(q(b))?
-6724*b**2
Let k(l) = l + 2. Let v(n) = -5*n - 12. Let m(d) = -6*k(d) - v(d). Let a(g) = g**2 + 269*g. Give a(m(s)).
s**2 - 269*s
Let t(o) = -48*o. Let i(y) = 2069603 + 10*y - 2069603. What is t(i(c))?
-480*c
Suppose 131*n - 129*n = 30. Let v(f) = f - 30*f**2 - 16*f - 51*f**2 + n*f. Let m(k) = -2*k. Calculate m(v(s)).
162*s**2
Let f(y) = -141*y. Let p(g) be the second derivative of -g**6/180 - g**3/6 + 19*g**2/2 - 2*g - 96. Let a(z) be the second derivative of p(z). What is a(f(v))?
-39762*v**2
Let n(g) = 644*g**2. Let d(f) = -603 - 610 + 3*f**2 + 1213. Give n(d(x)).
5796*x**4
Suppose 152*s + 5 = 151*s. Let a(u) = 3*u**2 + 10*u - 5. Let k(p) = 2*p**2 + 6*p - 3. Let h(o) = s*k(o) + 3*a(o). Let n(f) = -14*f**2. What is n(h(l))?
-14*l**4
Let w(d) = -9*d**2 + 31*d. Let v(q) = -2*q + 33. Let o(b) = -2*b + 22. Let u(j) = -3*o(j) + 2*v(j). Calculate w(u(c)).
-36*c**2 + 62*c
Suppose 295 = -15*f + 20*f. Let b(c) = -2*c - 72 + 131 - f. Let v(y) = -y - 23. Give v(b(s)).
2*s - 23
Let m(l) be the second derivative of -l**4/12 + l. Let v(k) be the third derivative of -53*k**2 + 0*k**3 + 0*k + 1/5*k**5 + 0*k**4 + 0. Calculate v(m(d)).
12*d**4
Let g(z) = z. Let i(a) = 228*a**2 + 1463*a + 23. Calculate i(g(j)).
228*j**2 + 1463*j + 23
Let h(d) = 69*d**2 + 48*d**2 + 59*d**2 + 76*d**2 - 193*d**2. Let f(b) = -19*b + 5. What is f(h(s))?
-1121*s**2 + 5
Let l(n) = 2890823*n. Let b(z) = 4*z. What is b(l(a))?
11563292*a
Let t(m) be the second derivative of m**3/3 + 1096*m. Let p(o) = 3*o**2 - 13*o. Give t(p(j)).
6*j**2 - 26*j
Let z(b) = 649 - 323 - 326 + 2*b**2. Let j(v) = 44*v - 1. Determine z(j(g)).
3872*g**2 - 176*g + 2
Suppose 2*y - 5*x = 41 + 7, 2*y - 2*x = 36. Let c(z) = 9*z**2 + y*z**2 - 25*z**2. Let l(m) be the first derivative of -5*m**2/2 + 6. What is l(c(w))?
10*w**2
Let h(v) = 14*v. Let u(r) be the first derivative of -42*r**3 + r**2/2 - 1094. What is h(u(p))?
-176