- q(j). Let w(n) = 2*n**2 - 2*n - 2. Let h(m) = 2*m - m - 1 + 2. Let u(p) = -2*h(p) - w(p). What is l(u(c))?
2*c**2
Let u(j) = -78*j - 3*j**2 + 4*j**2 + 70*j. Let i(o) be the second derivative of -o**4/3 + 29*o. Give i(u(d)).
-4*d**4 + 64*d**3 - 256*d**2
Let j(f) = 2208624*f**2. Let r(n) = -2*n**2. Give j(r(w)).
8834496*w**4
Let y(o) = 2*o**2. Let t(h) = h + 43. Let w be t(-7). Let d = -34 + w. Let q(g) = 11*g**2 - 12*g**d - 22*g**2. Calculate y(q(m)).
1058*m**4
Let x(v) = -2958*v**2. Let i(s) = 6329*s + 19. What is i(x(l))?
-18721182*l**2 + 19
Let f(z) be the third derivative of z**6/90 + 7*z**3/6 + 17*z**2. Let l(w) be the first derivative of f(w). Let o(j) = 2*j - 6*j + 2*j - 3*j. Give l(o(y)).
100*y**2
Let a(x) be the second derivative of x**4/12 - 498*x. Let u(y) = 907*y**2 + 2. Calculate u(a(g)).
907*g**4 + 2
Let x(q) = 49 + 41 - 135*q**2 + 37 - 127. Let m(k) = 25*k**2. Determine m(x(s)).
455625*s**4
Let v(c) = 991 + 996 - 56*c**2 - 1990 - 72*c**2. Let w(f) = -f**2. What is w(v(a))?
-16384*a**4 - 768*a**2 - 9
Let n(b) = -431*b - 46. Let g(a) = 10*a - 7. Let o(z) = -6*g(z) + n(z). Let w(m) = -2*m**2. What is o(w(c))?
982*c**2 - 4
Let c(m) = -4*m - 320. Let i(t) = -6532*t - 1. Determine i(c(z)).
26128*z + 2090239
Let c(u) = -2*u**2 + 6*u. Let d(h) = -3. Let v(i) = i - 1. Suppose 5*b + 4*o - 3 = 0, -9*o = -4*b - 6*o + 21. Let x(g) = b*v(g) - d(g). What is x(c(n))?
-6*n**2 + 18*n
Let j(c) be the first derivative of -c**2/2 - 55. Let g(b) = 25*b**2 - 4*b. Let a(d) = -20*d**2 + 3*d. Let w(o) = -3*a(o) - 2*g(o). What is w(j(u))?
10*u**2 + u
Let o(c) = -131090674*c**2. Let d(i) = -3*i. Determine d(o(p)).
393272022*p**2
Suppose -16 = -5*x - 2*k - 1, x - 3 = 3*k. Let g(b) = -4*b**2 - x + 3 + 2*b**2. Let h(u) = 3*u + 17. Determine h(g(m)).
-6*m**2 + 17
Let q(h) = -4*h**2 + 30. Let u(r) = -6*r. Let v(k) = k. Let s(d) = -d**2 - 21*d - 33. Let j be s(-19). Let m(n) = j*v(n) + u(n). Give q(m(b)).
-4*b**2 + 30
Let u(o) = 3*o - o + 4*o. Let p(c) = 176*c**2 + 32*c + 1952. Let i(t) = -6*t**2 - t - 61. Let b(j) = 32*i(j) + p(j). Calculate b(u(n)).
-576*n**2
Let y(i) = 12*i + 42845. Let t(b) = -10*b**2. Give y(t(d)).
-120*d**2 + 42845
Suppose -3*u + 2*a = -10, -5*u + 3*a + 8 + 8 = 0. Let l(j) = -25*j + j**u + 47*j - 22*j. Let o(i) = -6*i**2 - 1. What is o(l(p))?
-6*p**4 - 1
Let j(s) be the third derivative of -61*s**5/12 - s**4/24 - 3*s**2 + 311. Let b(a) = a. Give b(j(r)).
-305*r**2 - r
Let r(j) = 5158354*j**2 - 2. Let f(i) = 3*i**2. Calculate r(f(x)).
46425186*x**4 - 2
Let r(p) = -59*p. Let v(y) be the third derivative of y**7/1260 + 7*y**4/24 + y**3/3 + 104*y**2. Let s(f) be the second derivative of v(f). Calculate s(r(w)).
6962*w**2
Let a(x) = -11*x**2 - x - 6. Let l(v) = -19*v**2 - 3*v - 10. Let c(p) = -5*a(p) + 3*l(p). Let k(w) = 2*w. Give k(c(q)).
-4*q**2 - 8*q
Let o(z) = -10*z + 2. Let s(p) = -9*p + 2. Let x(u) = -o(u) + s(u). Let y(m) = -99*m. What is x(y(n))?
-99*n
Let c(f) be the first derivative of f**2 - 7. Suppose 12*q - 599 = 145. Let s(m) = -62*m - 60*m - q*m + 185*m. Determine s(c(y)).
2*y
Let u(i) = 3*i**2. Let o(d) be the second derivative of -40*d + 0*d**3 + 0*d**2 - 1 - 67/12*d**4. Calculate u(o(g)).
13467*g**4
Let k(n) = -3349162*n. Let w(c) = 5*c**2. Calculate k(w(y)).
-16745810*y**2
Let k(c) be the first derivative of -5/12*c**4 + 0*c**2 + 0*c**3 - 12 + 14*c. Let f(p) be the first derivative of k(p). Let z(b) = -b**2. What is z(f(h))?
-25*h**4
Let n(r) = -3*r**2 - 4*r + 10. Let i(x) = -x**2 - x. Let l(q) = 4*i(q) - n(q). Let t(v) be the third derivative of -v**5/30 + 43*v**2 - 154. Give l(t(h)).
-4*h**4 - 10
Let j = -29 + 79. Let o(w) = 96*w - j*w - 44*w. Let g(p) = -7*p**2. Determine o(g(q)).
-14*q**2
Let o(m) = 135*m**2 + 984*m + 1. Let y(t) = 5*t. What is o(y(u))?
3375*u**2 + 4920*u + 1
Let n(q) = -31*q**2. Suppose -2*i + 4*i = 0. Let t(m) = -74*m + 1706. Let f be t(23). Let g(a) = -f*a + i*a + 2*a. What is n(g(w))?
-124*w**2
Let w(n) = 2*n + 3. Let p(c) = c**2 - 33. Let b be p(7). Let t(h) = 23*h - b*h - 8*h. Give w(t(i)).
-2*i + 3
Let m(d) be the second derivative of -d**4/12 - 47*d**2 - d + 876. Let c(o) = -o. Calculate c(m(g)).
g**2 + 94
Let r(t) be the first derivative of -t**2/2 - 106. Let b(f) = 10*f**2 + 2*f. Let i(h) = h**2 + h. Let z(d) = b(d) - 2*i(d). Calculate r(z(o)).
-8*o**2
Let b(g) be the second derivative of g**3/2 + 5*g**2/2 + 18*g. Let w(t) = 2*t + 4. Let m(v) = -4*b(v) + 5*w(v). Let f(x) = -29*x + 2. Determine f(m(i)).
58*i + 2
Let i(l) = l**2 + l. Let k(n) = 20*n**2 + 22*n. Let r(t) = 44*i(t) - 2*k(t). Let s(q) be the third derivative of -17*q**4/12 - 21*q**2. What is s(r(v))?
-136*v**2
Let f(g) = -678*g**2. Let r(o) be the second derivative of -o**3/2 - 2647*o. Determine r(f(h)).
2034*h**2
Let k(z) = -175*z - 119. Let d(n) = -90*n. What is k(d(y))?
15750*y - 119
Let a(v) = -14*v**2. Let d(b) = 22392331*b**2. Determine d(a(k)).
4388896876*k**4
Let v(u) = 19*u**2. Let t(y) = -y + 20. Let n be t(16). Let r(a) = -n - 290*a + 4 + 296*a. Determine r(v(p)).
114*p**2
Let g(h) = 251*h**2. Let n(x) = -73*x - 56*x + 182*x - 57*x. What is n(g(p))?
-1004*p**2
Let w(j) = 18*j + 1. Suppose 0 = -29*u + 12*u + 289. Let l(m) = 0*m**2 + u*m**2 - 19*m**2. What is w(l(x))?
-36*x**2 + 1
Let y(n) = 10*n. Let h be 9/(189/14)*(14 - -4). Let m(q) = 24279 + h*q**2 - 24279. What is m(y(z))?
1200*z**2
Let z(w) = 31*w**2. Let q(l) = -3418357*l. Give q(z(k)).
-105969067*k**2
Let t(y) be the second derivative of -y**4/4 - 2*y - 1504. Let x(f) = 2381*f**2 - f. Calculate x(t(h)).
21429*h**4 + 3*h**2
Let p(y) = -5*y - 2. Let k(c) = -62610*c. Give p(k(x)).
313050*x - 2
Let c(k) = 1163*k**2. Let b(s) = -110*s + 149. Give b(c(o)).
-127930*o**2 + 149
Let d(n) = -68*n**2. Let j(t) = 57218*t. Determine d(j(r)).
-222625167632*r**2
Let s(t) be the first derivative of -901*t**2/2 + t - 8410. Let w(v) = -v**2. Determine w(s(m)).
-811801*m**2 + 1802*m - 1
Suppose 0*t = 3*t - 33. Let c(l) = t*l - l**2 - 2*l - 9*l. Let i(p) = -6 + 1 + 4 + 1 + 12*p. Calculate c(i(q)).
-144*q**2
Let k(w) = -6*w**2 - 7*w. Let d(z) be the second derivative of -z**6/60 + 5*z**3 + z**2/2 - 290*z. Let y(a) be the second derivative of d(a). Calculate k(y(g)).
-216*g**4 + 42*g**2
Let y(r) = -4*r**2. Let f(x) = -2*x**2 + 17185840*x. What is f(y(i))?
-32*i**4 - 68743360*i**2
Let n(a) = -15*a. Let v = -7 - -7. Suppose v = 3*h - 3*f - 96, -2*h = -4*h - 2*f + 80. Let w(d) = -h*d + 1 + 39*d - 1. Determine n(w(p)).
-45*p
Let i(x) = -2*x**2. Let q(w) = -334*w - 16. Let s be q(-4). Let c(f) = -f - 1. Let u(j) = -231*j - 264. Let o(d) = s*c(d) - 5*u(d). What is i(o(b))?
-54450*b**2
Let n(d) = 2*d. Let h(t) = -4702469*t. Calculate h(n(o)).
-9404938*o
Suppose -57*d + 29*d + 112 = 0. Suppose -7 = -4*v + 1. Let p(z) = 8*z - 12*z + d*z - 12*z**v. Let w(i) = -2*i**2. What is p(w(u))?
-48*u**4
Let g(j) = 2*j**2. Let a(s) be the second derivative of -s**3/6 + 45*s**2/2 + 648*s + 1. What is g(a(q))?
2*q**2 - 180*q + 4050
Let m(l) = l**2 + 9*l + 157872. Let p(v) = 3*v. Determine m(p(x)).
9*x**2 + 27*x + 157872
Let j = -354 - -362. Let z(i) = -1 + 1 - i - 9*i - j*i. Let s(w) = -w. Calculate z(s(l)).
18*l
Let t(d) = 192*d**2 - 2. Let m(u) = -20352*u. What is t(m(b))?
79527149568*b**2 - 2
Let h(l) = -l**2 - 9*l. Let m(p) = -3469*p**2 + 14*p + 3464*p**2 - 14*p. Calculate m(h(s)).
-5*s**4 - 90*s**3 - 405*s**2
Let g(c) = 120321*c. Let z(d) = -d + 54. Determine g(z(q)).
-120321*q + 6497334
Let i(b) = 63*b**2 + 40*b**2 - 140*b**2 + 36*b**2. Let x(s) = 24*s**2 - 1. Calculate i(x(t)).
-576*t**4 + 48*t**2 - 1
Let i(u) = -3*u. Let q(d) = -d. Let c(v) = i(v) - q(v). Let k(s) = 0*s - 24*s**2 + 37*s - 38*s + s. Calculate c(k(j)).
48*j**2
Let f(o) = 8*o**2 - 35*o**2 + 26*o**2 + 3*o**2. Let h(s) = 837*s. Calculate h(f(t)).
1674*t**2
Let x(j) = -3*j. Let v(h) = -69*h**2. Suppose -i + 5 = 1. Let r(u) = 23*u**2 - 8667363 + 8667363. Let f(s) = i*v(s) + 11*r(s). Determine x(f(c)).
69*c**2
Let w(f) be the second derivative of f**7/2520 - 59*f**4/12 - 41*f + 1. Let p(t) be the third derivative of w(t). Let i(c) = 54*c - 2. Calculate i(p(r)).
54*r**2 - 2
Let s(c) = 5*c. Let q(n) = -38802*n - 36685*n + 71248*n. What is q(s(u))?
-21195*u
Let k(x) = 134*x - 5. Let y(m) = 66*m - 3. Let q(z) = 4*k(z) - 7*y(z). Let d(t) = -5*t