- 152*l + 36422
Let i(j) = -17*j. Let v(s) = 34*s**2 + 9. Let t(c) = -16*c**2 - 4. Let u(y) = 13*t(y) + 6*v(y). Let b(f) be the first derivative of u(f). Determine i(b(r)).
136*r
Let u(j) = j**2 - j - 1. Let b(v) = 6*v**2 - 3*v - 8. Let t(l) = b(l) - 3*u(l). Let m(d) be the first derivative of t(d). Let k(s) = 5*s**2. Give m(k(p)).
30*p**2
Let s(q) = 679*q**2 + 2. Let z(m) be the third derivative of m**5/60 + 904*m**2. What is s(z(v))?
679*v**4 + 2
Let c(v) = -58*v - 116*v + 128*v. Let h(l) = -14*l. Determine h(c(g)).
644*g
Let s(o) = -36*o. Let h(q) be the third derivative of 7*q**5/30 + 11*q**2 + 14. Give h(s(b)).
18144*b**2
Let a(v) = 62*v. Let q(t) = 3*t**2 - 4911*t - 74. Calculate q(a(u)).
11532*u**2 - 304482*u - 74
Let d(x) = 20341*x**2. Let w(l) = -9*l**2 + 69. Determine w(d(s)).
-3723806529*s**4 + 69
Let t(j) be the second derivative of 3*j - 7/6*j**3 + j**2 + 0. Let v(d) = -5*d + 33. Let i(w) = -12*w + 77. Let n(o) = 3*i(o) - 7*v(o). Determine n(t(p)).
7*p - 2
Let y(f) = 6310*f - 6315*f + 126 - 126. Let x(w) = 165*w**2. Give x(y(n)).
4125*n**2
Let i(b) = -813*b**2 - 2*b + 309. Let r(t) = 7*t. Give i(r(p)).
-39837*p**2 - 14*p + 309
Let g(j) be the first derivative of 15 + 1/12*j**5 + 0*j + 0*j**3 - 6*j**2 + 0*j**4. Let u(k) be the second derivative of g(k). Let d(m) = m**2. Give d(u(x)).
25*x**4
Let u(z) = 15*z + 5 - 12 + 7. Let v(a) be the third derivative of -2*a**5/15 - a**2 + 24. Give v(u(l)).
-1800*l**2
Let u(a) = 1303*a. Let t(h) = -8*h**2 - 16479*h. Calculate u(t(s)).
-10424*s**2 - 21472137*s
Let p(f) = 176243*f. Let s(i) = 5687*i. Calculate s(p(n)).
1002293941*n
Let k(t) = 7*t**2 - 66*t - 3. Let s(h) = 12*h**2 - 110*h - 5. Let v(a) = -5*k(a) + 3*s(a). Let w(g) = 360*g - 2. What is w(v(p))?
360*p**2 - 2
Let l(t) = 43*t - 1. Let b(k) = 44*k - 1. Let r(j) = 2*b(j) - 2*l(j). Let m(o) = 1264*o**2. Give r(m(u)).
2528*u**2
Suppose -5*l - 2*z + 3 - 9 = 0, -4*l - 4*z = 12. Let g(j) = -3 + 3 + 2*j**2 + l. Let q(o) be the second derivative of 10*o**3 - 4*o - 178. Give g(q(y)).
7200*y**2
Let w(l) = l**2. Let f = 33 + -33. Let x(y) = 0 + 0 + f - 455*y. Let s(h) = 19*h. Let a(z) = -143*s(z) - 6*x(z). What is a(w(i))?
13*i**2
Let d(f) = -f + 2*f - 3*f. Let r(w) = -2 - 6 + 625*w**2 + 2 - 207*w**2 - 210*w**2 - 215*w**2. What is d(r(m))?
14*m**2 + 12
Let h(a) be the second derivative of a**4/6 - 689*a. Let f(v) = -2*v**2 + 280. Give f(h(y)).
-8*y**4 + 280
Let b(y) be the first derivative of 62*y**3/3 - 415. Let g(z) = -4*z**2. Give b(g(v)).
992*v**4
Let h(p) be the second derivative of -p**4/12 - 7*p - 111. Let m(w) = 178*w**2. Give m(h(b)).
178*b**4
Let y(m) = -m. Let f(g) = g**3 + 6*g**2 - 6*g + 7. Let a be f(-7). Let l be a + 4*1/2. Let h(p) = 58*p**2 - 36*p**l - 37*p**2. Determine y(h(s)).
15*s**2
Let a(u) = -12*u**2. Let g(x) be the second derivative of 3/2*x**4 + 64*x + 0*x**2 + 0*x**3 + 0. Calculate a(g(v)).
-3888*v**4
Let o(j) = 12151*j**2 - 2*j - 22. Let b(g) = -2*g. Give o(b(y)).
48604*y**2 + 4*y - 22
Let b(g) = 3*g**2. Let u(n) = 6*n**2 + 69407. Give u(b(c)).
54*c**4 + 69407
Let m(q) = 26*q**2. Let h(y) = 9*y**2 - 11*y + 28. Let o be h(6). Let f(r) = 572*r - o*r - 285*r. What is f(m(w))?
26*w**2
Let l(v) = 2*v. Let b(p) be the third derivative of 173*p**5/30 + 13*p**3/3 + 680*p**2 + 6*p. Calculate b(l(z)).
1384*z**2 + 26
Let s(c) = -3*c - 209*c + 71*c - 132*c. Let g(x) = 4*x**2 - 5*x. What is s(g(p))?
-1092*p**2 + 1365*p
Let x(q) = 762*q**2. Let n(f) = -183*f - 12. Let j(v) = 397*v + 26. Let u(s) = 6*j(s) + 13*n(s). Give u(x(k)).
2286*k**2
Let p(v) = -3*v**2. Let m(a) = 976*a**2 - 48. Let o(l) = -325*l**2 + 18. Let u(y) = -3*m(y) - 8*o(y). Calculate u(p(d)).
-2952*d**4
Suppose -4*w - 220 = -2*k - 0*w, -4*k + 455 = -3*w. Let h(c) = k*c**2 - 2*c - 141*c**2 + 2*c. Let y(b) = -2*b**2. Calculate y(h(p)).
-1250*p**4
Suppose 4*u + 3*j = 3775, 4*u - 2345 = -5*j + 1432. Let n(l) = 3*l**2 + 943*l - u*l. Let c(b) be the second derivative of b**4/4 - 2*b. Calculate n(c(g)).
27*g**4
Let s(g) = -198*g**2. Let n(x) = -5737*x. What is s(n(r))?
-6516807462*r**2
Let l(c) = 459*c**2 - 18*c + 6. Let v(g) = -461*g**2 + 15*g - 5. Let s(r) = 5*l(r) + 6*v(r). Let f(p) = -3*p. Determine s(f(d)).
-4239*d**2
Let w(d) = 13*d + 3. Let c(f) = 43*f - 19 - 43*f + 570*f**2 - 568*f**2 + 45. Calculate w(c(v)).
26*v**2 + 341
Let m(z) = 4*z - 6*z - 7*z. Let r(a) = a**3 - 9*a**2 - 9*a - 3. Let k be r(10). Let y(x) = -k*x - 4*x + 15*x + 0*x. Calculate y(m(w)).
-36*w
Let x(f) = -14*f. Let v(k) = 853*k + 2. Calculate v(x(d)).
-11942*d + 2
Let x(v) = 106*v + 1. Let f(s) = -s**2 + 13867. Give f(x(b)).
-11236*b**2 - 212*b + 13866
Suppose 8 = 1038*p - 1034*p. Let v(w) = -3*w + 4*w - p*w. Let r(f) be the first derivative of -15*f**2/2 - 1. Determine v(r(z)).
15*z
Let v(j) = 798422*j. Let q(h) = 15*h**2. Give v(q(u)).
11976330*u**2
Let w(h) = 2*h**2 - 55*h. Let t(i) = 15873156*i. Give t(w(r)).
31746312*r**2 - 873023580*r
Let s(m) be the second derivative of -m**4/12 - 39*m**2/2 + 1175*m. Let h(t) = 4*t. Calculate h(s(w)).
-4*w**2 - 156
Let o(r) = 9*r. Let g(j) = -552*j + 162. Let m(x) = 12*x - 3. Let t(b) = -4*g(b) - 216*m(b). Give t(o(s)).
-3456*s
Let o(v) = 3*v. Suppose -1076 = -2*s + 2*n, -4*s + n - 2666 = -9*s. Let a(r) be the first derivative of 0*r**3 - r**3 - 552 + s. What is o(a(p))?
-9*p**2
Let h(a) = 5*a**2 - 19. Let c(q) be the third derivative of -q**5/20 - 131*q**2 - 3*q. Calculate c(h(x)).
-75*x**4 + 570*x**2 - 1083
Let u(x) be the third derivative of -3*x**7/560 + x**5/15 + 11*x**3/6 - 44*x**2. Let p(b) be the third derivative of u(b). Let g(n) = 3*n. Calculate g(p(d)).
-81*d
Let s(z) = -6*z - 94. Let k be s(-18). Let m(o) = -5*o + k*o - 8*o - 2*o. Let p(j) = -11*j. Calculate m(p(q)).
11*q
Let g(d) = 93*d**2 + 6*d + 6. Let q(v) = -97*v**2 - 6*v - 5. Let j(c) = 5*g(c) + 6*q(c). Let k(x) = 2*x. What is k(j(b))?
-234*b**2 - 12*b
Let b(t) = -5*t**2. Let x(c) be the second derivative of -413*c**3/6 - 10*c - 225. Give b(x(y)).
-852845*y**2
Let m(u) = 265286807*u**2 - 2. Let g(d) = 2*d. Determine g(m(v)).
530573614*v**2 - 4
Let p(l) = 47*l**2 - 3*l + 43. Let u(d) = -2*d**2. Calculate p(u(a)).
188*a**4 + 6*a**2 + 43
Let v(r) = -33*r + 4. Let q(g) = 725*g - 87. Let k(y) = -4*q(y) - 87*v(y). Let a(z) be the first derivative of 65 + 1/3*z**3 + 0*z**2 + 0*z. Calculate a(k(j)).
841*j**2
Let u(w) = 14*w**2 - w - 681. Let x(y) = 529*y**2. What is u(x(z))?
3917774*z**4 - 529*z**2 - 681
Let n(m) be the first derivative of m**2/2 + 33. Let q(h) = -114*h**2 + 364*h**2 - 135*h**2 - 112*h**2. What is q(n(b))?
3*b**2
Let z(k) = -29*k**2. Let x(u) = 87*u + 30*u - 14*u - 1090 + 1090. Give z(x(l)).
-307661*l**2
Let m(s) = 8*s**2. Let u(f) = -f**2 + 15*f + 5. Let z(x) = x**2 - 12*x - 6. Let o(v) = -4*u(v) - 5*z(v). What is m(o(i))?
8*i**4 - 160*i**2 + 800
Let l(n) = n**2. Let q(p) = -2240*p - 40. Let c(o) = 743*o + 14. Let b(a) = 20*c(a) + 7*q(a). Give l(b(t)).
672400*t**2
Let t(a) = -4*a**2. Let k(w) = -22*w. Let v(z) = 668*z - 68. Let g(p) = 29*p - 3. Let b(f) = -136*g(f) + 6*v(f). Let r(m) = -6*b(m) - 17*k(m). Give r(t(i)).
40*i**2
Let a(x) = -8443*x**2. Let t(i) be the first derivative of i**3/3 + 3139. What is t(a(z))?
71284249*z**4
Let g(r) be the first derivative of -5*r**2 - 687. Let y(z) = -11*z**2 + 3. Calculate g(y(m)).
110*m**2 - 30
Let u(m) = -24*m. Let g(d) = 26*d. Let o(i) = -5*g(i) - 6*u(i). Let q(p) be the first derivative of -p**2 - 76. What is q(o(n))?
-28*n
Let g(p) be the second derivative of 128*p + 0*p**2 + 0*p**3 + 1/6*p**4 + 0. Let d(l) = -l + 2. What is d(g(a))?
-2*a**2 + 2
Let x(y) = y - 297. Let r(j) = -63*j - 3. Calculate r(x(u)).
-63*u + 18708
Let u(h) = -7*h**2 + 221 - 215 + 6*h**2. Let p(z) = -4*z**2 + 26. Let t(s) = -6*p(s) + 26*u(s). Let b(n) = -9*n**2 - 2. What is t(b(g))?
-162*g**4 - 72*g**2 - 8
Let y(i) = 2*i**2 + 5751 + 5756 - 11507 - 164*i. Let o(m) = 3*m. Determine o(y(r)).
6*r**2 - 492*r
Let y(c) = c. Let p(v) be the third derivative of v**8/10080 - 17*v**7/840 + 61*v**5/60 + 5*v**2. Let o(s) be the third derivative of p(s). What is o(y(b))?
2*b**2 - 102*b
Let u(y) be the second derivative of y**3/6 - 191*y**2/2 - 117*y - 3. Let t(o) = -4*o. Give u(t(w)).
-4*w - 191
Let f(c) = -c. Let k(q) = -2738*q + 51. Let p(n) = 1373*n - 20. Let g(x) = 2*k(x)