 = 491*b**2 - 1. Determine f(w(j)).
1964*j**4 - 1
Let h(d) = 2*d. Let l(p) = -2*p**3 - 5*p - 2. Let i be l(-2). Let f(a) = -18*a - 225*a - 31*a + i*a - 69*a. What is h(f(u))?
-638*u
Let d(a) be the second derivative of 0 - 1/6*a**4 + 0*a**3 + 18*a + 0*a**2. Let w(n) = 3*n + 2*n - 27*n + 12*n. Give d(w(k)).
-200*k**2
Let m(v) = -6508249*v**2. Let k(s) = 2*s**2 - 2. What is k(m(f))?
84714610092002*f**4 - 2
Let y(s) be the third derivative of -s**4/12 + 7*s**3/3 - 731*s**2. Let c(w) = -8*w**2. Determine y(c(i)).
16*i**2 + 14
Let q(f) = -f**2. Let x(z) = -9*z - 3. Let o(l) = 166*l + 31. Let w(y) = o(y) + 5*x(y). Determine q(w(r)).
-14641*r**2 - 3872*r - 256
Let u(n) = 25*n. Suppose 8*l = 307 + 301. Let k(i) = 79*i + 11 - l*i - 11. Give k(u(h)).
75*h
Let o(v) = 13*v**2. Let b(c) = -386*c**2 + 489*c + 27. What is b(o(w))?
-65234*w**4 + 6357*w**2 + 27
Let p(q) = -2*q**2. Let w = -142 + 140. Let o(n) = -n - 1. Let y(z) = -56*z - 36. Let m(k) = w*y(k) + 72*o(k). Calculate p(m(t)).
-3200*t**2
Let d(q) = -21*q**2 + q - 2. Let c(r) = -104*r**2 + 5*r - 65. Let g(s) = -c(s) + 5*d(s). Let n(f) = 36*f. What is g(n(w))?
-1296*w**2 + 55
Let q(o) = 942*o**2. Let b(l) = -l**2 + 7679*l. Determine b(q(u)).
-887364*u**4 + 7233618*u**2
Let t(r) = 32*r**2 - 57*r. Let a(o) be the third derivative of -o**4/8 + 1992*o**2. Determine a(t(k)).
-96*k**2 + 171*k
Let c(m) = m**2 - 312. Let p(i) = -15*i - 2687. Calculate c(p(z)).
225*z**2 + 80610*z + 7219657
Let j(y) = 410 - 191 - 236 - 3*y. Let c(z) = -z**2 + 3. Let p(h) = -h**2 + 1. Let b(r) = -c(r) + 3*p(r). Calculate j(b(i)).
6*i**2 - 17
Let c(p) = -4281594*p**2. Let t(o) = 16*o**2. Give t(c(a)).
293312754893376*a**4
Let x(z) = 1204*z + 33064 + 33042 - 66106. Let m(n) = 2*n**2. Calculate m(x(t)).
2899232*t**2
Let x(n) be the first derivative of 52*n**3/3 - 8*n - 1509. Let y(u) = u. Calculate x(y(i)).
52*i**2 - 8
Let m(t) = -921000*t. Let s(k) = 4*k. What is m(s(c))?
-3684000*c
Let m(o) = -108*o. Let b(t) be the second derivative of 7*t**3/6 + 71*t. Let j(i) = -i. Let p(f) = b(f) + 6*j(f). Determine p(m(l)).
-108*l
Let i = -635 + 1398. Suppose -5*u + 2692 = -3*y - 1138, -5*y - 788 = -u. Let k(s) = 7*s**2 - u + i. Let p(d) = d**2. What is k(p(x))?
7*x**4
Let u(a) = -3*a**2 + 8. Let w(s) = -23*s - 492. Determine w(u(o)).
69*o**2 - 676
Let s(a) be the second derivative of -a**3/6 + 51*a + 169. Let j(z) = -2 - 2 + 0*z**2 - 5*z**2. What is j(s(c))?
-5*c**2 - 4
Let b(m) = 26*m + 9. Let p(k) = -9*k - 3. Let w(r) = b(r) + 3*p(r). Let o(f) = -5218*f. What is w(o(i))?
5218*i
Let r(h) = h**2 - 18768*h - 7. Let d(a) = -3*a**2. What is r(d(z))?
9*z**4 + 56304*z**2 - 7
Let g(k) = -2*k. Let f = -311 + 313. Let h(s) = 404 - 404 + 60*s**f. Calculate g(h(d)).
-120*d**2
Let v(t) = 10*t**2 - 4*t**2 - 2 + 2. Let d(l) be the first derivative of l**6/360 + 20*l**3/3 + 14. Let x(j) be the third derivative of d(j). Determine v(x(i)).
6*i**4
Let v(b) = 72*b. Let o(q) = 271*q**2 - 1236*q. Give v(o(z)).
19512*z**2 - 88992*z
Let l(u) be the second derivative of -5*u**4/4 - 694*u - 6. Let s(i) = -i + 0*i + 0*i. What is l(s(q))?
-15*q**2
Let j(t) be the third derivative of -7*t**5/30 + 2*t**2 + t - 1159. Let q(b) be the second derivative of 5*b**3/6 - b. What is j(q(w))?
-350*w**2
Let o(m) = -299*m**2. Let d(r) = -41*r**2 + 52. What is d(o(v))?
-3665441*v**4 + 52
Let h(r) = -8917*r**2. Let b(f) = 17415*f + 1. What is b(h(g))?
-155289555*g**2 + 1
Let j(k) = -6*k. Let q(h) = 4273*h + 91*h**2 + 4276*h - 12815*h + 4268*h. Give q(j(f)).
3276*f**2 - 12*f
Let t(g) = 4*g**2. Let f = 252 + -133. Let l(u) = -61 + f - 58 - 11*u. Calculate l(t(n)).
-44*n**2
Let x(a) = a**2 + a. Let u(m) = -281*m + 18. Let o(r) = 4446*r - 285. Let q(b) = 6*o(b) + 95*u(b). What is q(x(n))?
-19*n**2 - 19*n
Let o(j) = j - 14. Let z = -565 - -572. Let v(n) = n - 8. Let r(y) = z*v(y) - 4*o(y). Let s(l) = -6*l. Determine s(r(h)).
-18*h
Let y(j) = -j**2. Let l(s) be the second derivative of -3359*s**4/6 - 537*s - 1. Calculate l(y(r)).
-6718*r**4
Let g(u) = -8*u - 1. Let v(x) = 55*x + 7. Let o(b) = 28*g(b) + 4*v(b). Let l(f) = -771*f. Calculate o(l(n)).
3084*n
Let d(i) be the first derivative of -2*i**3/3 + 26507. Let j(b) = -82*b**2 - 164. Let k(n) = -n**2 - 1. Let f(v) = -j(v) + 164*k(v). Calculate d(f(c)).
-13448*c**4
Let k(c) = -11*c. Let i(m) = 2 - 1 + m**2 - 1 - 1. Let r(y) = -7*y**2 + 6. Let a(z) = 6*i(z) + r(z). Calculate a(k(q)).
-121*q**2
Let a(s) = 2*s + 124. Let d(w) = 2*w**2 + 1969. Determine a(d(c)).
4*c**2 + 4062
Let f(w) = -56*w**2 - 86*w + 602. Let n(d) = -8*d**2 - 12*d + 84. Let g(u) = -6*f(u) + 43*n(u). Let k(y) = 207*y. Give g(k(x)).
-342792*x**2
Let s(j) = 26*j - 1. Let g(w) = -817*w + 15. What is g(s(f))?
-21242*f + 832
Let j(k) = -7*k + 3. Let g(r) = -1503*r - 12. Let u(y) = g(y) + 4*j(y). Let f(v) = -2*v**2. Give u(f(q)).
3062*q**2
Let n(w) = 3*w**3 - 4*w**2 + 1. Let l = -3 - -5. Let m be n(l). Let i(q) = 0*q - m*q + 5*q. Let p(u) = -16*u**2. Give i(p(r)).
64*r**2
Let b(y) = 2*y**2. Let n(s) be the second derivative of 1013*s**4/12 + 615*s. Calculate n(b(g)).
4052*g**4
Let j(t) be the third derivative of -21*t**2 + 0*t + 0 + 0*t**3 + 1/6*t**4. Let d(x) = -24*x**2. Calculate j(d(y)).
-96*y**2
Let y(o) be the third derivative of 0*o**3 - 3*o**2 + 0*o**4 + 1/60*o**5 + 9 + 0*o. Let r(t) be the second derivative of -29*t**3/6 - 2*t. What is y(r(c))?
841*c**2
Let z(x) = -73*x - 3. Let y(n) = n**2 + 20*n - 4. Let v(a) = 2*a**2 + 45*a - 9. Let i(h) = 4*v(h) - 9*y(h). What is z(i(l))?
73*l**2 - 3
Let k(n) be the first derivative of -19*n**4/6 + 44*n - 31. Let g(j) be the first derivative of k(j). Let m(p) = -2*p**2. Determine m(g(w)).
-2888*w**4
Suppose 5*c - 2*c + 5*b - 89 = 0, c - 4*b - 7 = 0. Let q(r) = c*r**2 + 32*r**2 - 53*r**2. Let a(f) = 59*f. Calculate q(a(n)).
6962*n**2
Let y(r) = -r - 2. Suppose 0 = -3*n - 10*n - 52. Let f be y(n). Let o(c) = 0*c**2 + 2*c**f + 3*c**2 - 4*c**2. Let u(j) = j**2. Give u(o(w)).
w**4
Let y(w) = 3355 - 2*w**2 - 3355. Let a(g) = 99*g**2 - 11*g - 11. Let r(s) = 3*s**2 - s - 1. Let o(z) = 2*a(z) - 22*r(z). Give o(y(v)).
528*v**4
Let l(x) = -94710*x**2 - 330*x - 1. Let m(y) = -2*y. What is m(l(r))?
189420*r**2 + 660*r + 2
Let t(z) = z**2 + 14*z + 4. Let l be t(-14). Let f(n) = -110*n**2 + 111*n**2 - l*n + 4*n. Let w(v) = 149*v**2. What is f(w(b))?
22201*b**4
Let m(v) = -59*v**2. Let d(a) = 1 + 96*a**2 - 171*a**2 + 74*a**2. Determine d(m(p)).
-3481*p**4 + 1
Let u(o) = -o. Suppose -21*s + 58 + 110 = 0. Let w(l) = 336*l**2 + 8*l + 8. Let r(y) = -335*y**2 - 7*y - 7. Let x(q) = s*r(q) + 7*w(q). Give x(u(j)).
-328*j**2
Let o(g) = -1596*g - 1577*g + 3150*g. Let t(k) be the third derivative of k**4/8 + k**2. Determine o(t(b)).
-69*b
Let k(z) = -24*z. Let g(b) = 3*b + 3658. Give k(g(y)).
-72*y - 87792
Let j(v) = 2*v - 74. Let h(p) be the second derivative of -61*p**3/6 - p**2/2 - 27*p + 154. Calculate j(h(y)).
-122*y - 76
Let h(t) = -21*t**2 - 2*t. Let p = 417 - 415. Let q(y) = 5*y**2 + y - y - 4*y**p. Determine h(q(z)).
-21*z**4 - 2*z**2
Let s(u) = -109*u**2 - 2*u. Let m(k) be the second derivative of k**6/180 + 115*k**3/6 + 108*k. Let g(r) be the second derivative of m(r). What is s(g(o))?
-436*o**4 - 4*o**2
Let y(v) = -2*v + 3. Let o(x) = 3*x - 4. Let z(r) = -3*o(r) - 4*y(r). Let k(c) = 27 - 12 - 4*c - 15. Give z(k(b)).
4*b
Let i(o) = -21199120*o**2. Let z(s) = -2*s. What is z(i(f))?
42398240*f**2
Let m(g) = 3*g**2 - 2*g + 8. Let l(s) = 17*s**2 - 11*s + 44. Let f(o) = 4*l(o) - 22*m(o). Let i(a) = -7*a. Calculate f(i(d)).
98*d**2
Let j(k) = -3*k**2 - 90*k - 15. Let t(v) = -v**2 + 6*v + 1. Let o(a) = -j(a) - 15*t(a). Let g(p) = 90*p. What is g(o(w))?
1620*w**2
Let c(r) = r**2 + 4*r - 4. Let a(n) be the first derivative of n**2/2 - n + 246. Let u(z) = -4*a(z) + c(z). Let q(j) = -28*j**2. Calculate q(u(s)).
-28*s**4
Let t(d) = 1300286*d - 8. Let o(p) = 4*p. Give t(o(k)).
5201144*k - 8
Let y(t) = -5*t**2. Let c(s) = -s**2. Let m(x) = 39*c(x) - 6*y(x). Let n be 3 - (4 + -5 + 1). Let i(q) = -2*q + 6*q - 4*q + n*q. What is m(i(k))?
-81*k**2
Let r(g) = 2*g**2. Let c(s) = -25047259*s. Determine r(c(k)).
1254730366826162*k**2
Let l(u) = -2*u**2. Let g(v) = -6*v - 103. Let d be g(-20). Let b(h) = d + 4*h**2 - 32 + 15. What is l(b(c))?
-32*c**4
Let s(z) = -1