166464*k - 34
Let g(b) = 2*b**2 + 32. Let i(t) be the second derivative of t**2 - 2*t + 41. Let m(k) = -3*g(k) + 48*i(k). Let s(u) = u. Calculate m(s(l)).
-6*l**2
Let l(d) be the second derivative of -d**4/6 + d**3/6 - 11*d**2/2 - 2*d - 2364. Let x(z) = 2*z. Determine l(x(v)).
-8*v**2 + 2*v - 11
Let h(a) = -6*a. Let d(g) = -24225*g**2 - 46*g + 1. Determine h(d(b)).
145350*b**2 + 276*b - 6
Let b(f) = -5. Let s(a) = 3*a + 90. Let v(p) = 18*b(p) + s(p). Let r(w) = 76*w - 6. What is r(v(k))?
228*k - 6
Let w(x) = x. Let u(f) be the second derivative of -f**3/6 + 49*f**2 - 3*f + 2. Determine u(w(s)).
-s + 98
Let g(l) = -1359*l. Let k(q) = -1883*q. Let v(p) = -108*p. Let x(y) = 2*k(y) - 35*v(y). Give x(g(i)).
-19026*i
Let o(h) = -2*h. Let a(w) = -2063*w - 866*w - 123*w - 19*w. Calculate a(o(b)).
6142*b
Let f(u) = 3*u. Let d(c) = 2394*c**2 - 55*c - 1. Let r(l) = 2*l**2 + 11*l. Let b(p) = d(p) + 5*r(p). What is b(f(x))?
21636*x**2 - 1
Let j(x) = 4*x**2 - 4*x + 4. Let l(a) = 4*a**2 - 3*a + 3. Let d(s) = 3*j(s) - 4*l(s). Let g(t) be the first derivative of -t**2/2 - 2*t + 1022. Give g(d(k)).
4*k**2 - 2
Let f(x) = -5*x. Let b(g) = -95970243*g. Determine f(b(k)).
479851215*k
Let u(y) = 42952217*y**2. Let q(h) = -h**2. What is u(q(r))?
42952217*r**4
Let p(a) = 3*a. Let q(d) = 11597*d - 457. Determine p(q(m)).
34791*m - 1371
Let t(a) be the third derivative of 23*a**7/2520 - 2*a**5/5 - a**4/6 + 25*a**2. Let o(s) be the third derivative of t(s). Let l(v) = -v. Give o(l(n)).
-46*n
Let m(b) = -504694*b**2. Let t(c) = 331*c. Determine t(m(z)).
-167053714*z**2
Let p(h) = -64*h. Suppose -78 + 160 = u. Let z = u + -82. Let j(s) = 41 + z*s - 2*s - 41. Determine j(p(f)).
128*f
Let o(j) = -36. Let i(l) = 13*l - 105. Let t(k) = -i(k) + 3*o(k). Let r(p) = -28*p. Determine t(r(g)).
364*g - 3
Let f(o) = 3*o**2 - 41*o - 37. Let p(b) = -89*b**2. Determine f(p(h)).
23763*h**4 + 3649*h**2 - 37
Let t(b) = -6*b**2 + 14. Let c(y) = -18711*y**2. Determine t(c(w)).
-2100609126*w**4 + 14
Let f(h) = h**2 - 121*h. Let b(p) = -p - 769. Determine b(f(a)).
-a**2 + 121*a - 769
Let a(c) = -c - 4. Let l(i) = -7*i**2 + 0*i**2 + 4*i**2 + 0*i**2 - 2*i**2. Calculate a(l(x)).
5*x**2 - 4
Suppose -h = 4*o - 8 - 34, 4*h - 38 = -3*o. Let k(q) = -2 + 2 + o*q - 9*q. Let b(l) be the third derivative of 15*l**4/8 - 43*l**2. Give b(k(v)).
45*v
Let i(z) be the third derivative of 4*z**4 + 628*z**3 - 628*z**3 + 12*z**4 + 3*z - 30*z**2. Let j(g) = -g**2. Give i(j(r)).
-384*r**2
Let r(j) = -18*j**2 - j - 86 + 4*j + 80 - 3*j. Let a(d) = -12*d. Give a(r(s)).
216*s**2 + 72
Let x(m) = 334*m**2. Suppose -3*q - 4 = -2*b - 12, -16 = -q - 2*b. Let d(g) = -g - q - 5 + 11. Determine x(d(l)).
334*l**2
Let n(z) = z**2. Let x(r) = -22*r**2 - 8955*r - 80. Calculate x(n(l)).
-22*l**4 - 8955*l**2 - 80
Let l(v) = -3*v**2 - 2*v. Let c(y) = -y. Let x(a) = 11*a + 5*a + 2*a - 24*a. Let w(f) = 15*c(f) - 2*x(f). Give l(w(q)).
-27*q**2 + 6*q
Let t(k) = 24*k**2. Let z(j) = -3*j**2 - 11*j + 6536. What is z(t(g))?
-1728*g**4 - 264*g**2 + 6536
Let n(c) = -c**2 - 51. Let m(i) = -71924*i. Determine m(n(b)).
71924*b**2 + 3668124
Let x(u) = -11314 + 11314 - 3*u. Let t(w) = 85*w**2 - 15. Let g(j) = -12*j**2 + 2. Let m be (-2)/(-6)*(-42)/7. Let r(d) = m*t(d) - 15*g(d). Calculate r(x(v)).
90*v**2
Let n(x) be the third derivative of x**5/10 - 68*x**2 + 3*x - 1. Let t(y) = 2411*y. Give n(t(b)).
34877526*b**2
Let g(o) = -o - 25924 + 25924. Let x(y) = -4*y. Let k(a) = -2*g(a) + x(a). Let q(n) be the third derivative of 13*n**4/24 + 3*n**2. What is k(q(w))?
-26*w
Suppose 0 = -5*c + 61 - 36. Let w(x) = -12 - c*x**2 - 25 + 37. Let i(r) = -2*r. What is i(w(g))?
10*g**2
Suppose 48 + 2 = 25*l. Let t(x) = -114*x + 232*x - 118*x + 3*x**l. Let i(m) = 21*m**2. Calculate t(i(f)).
1323*f**4
Let w(t) = 120*t**2. Suppose 45219 = 6*o + 5985. Let f(m) = 6539*m + 0*m**2 - m**2 - o*m. Calculate w(f(y)).
120*y**4
Let y(h) = 17*h + 12. Let j(u) be the second derivative of 1/6*u**4 + 0*u**2 - 1 + 0*u**3 + 6*u. Give y(j(w)).
34*w**2 + 12
Let f(v) be the second derivative of 0*v**2 + 0 - 17*v - 1/12*v**4 + 0*v**3. Let q(s) = -76*s**2. Calculate f(q(p)).
-5776*p**4
Let z(u) = 4484*u. Let n(o) be the second derivative of -o**4/4 - 5338*o. Give z(n(d)).
-13452*d**2
Let d(r) = -5*r**2 + 5*r**2 - 4*r**2 + 2*r**2. Let m(v) be the first derivative of 2 + 0*v - 21/2*v**2. Determine m(d(h)).
42*h**2
Let s(t) = 18*t**2. Let x(d) = 18565910*d. What is s(x(w))?
6204474254305800*w**2
Let p(b) = -61*b**2 - 9389. Let f(w) = -5*w**2. Calculate p(f(g)).
-1525*g**4 - 9389
Let k be ((-48)/(-36))/(1/708). Let i(h) = k*h**2 + 971*h**2 - 1874*h**2. Let b(z) = -3*z**2. Give b(i(u)).
-5043*u**4
Let i(j) = j + 169862. Let o(h) = 28*h**2. Calculate i(o(p)).
28*p**2 + 169862
Let c be 5 - ((-14)/56 + (-14)/8). Suppose 5*r - c*r = -298. Let t(o) = 149 + 14*o - r. Let j(g) = g. Give t(j(b)).
14*b
Let d(m) = -17014 + 5670 + 5674 - 13*m**2 + 5670 + 4*m. Let g(a) = -2*a**2 - 3*a**2 + 3*a**2 - a**2. Calculate d(g(k)).
-117*k**4 - 12*k**2
Let m(q) = 672*q - 338*q + 8 - 328*q - 13. Let k(j) be the first derivative of -j**2/2 - 2. Determine m(k(f)).
-6*f - 5
Let w(s) = -51*s - 7. Let y(h) = -2*h - 166. Give y(w(g)).
102*g - 152
Let s be (-4 - (0 - -24))*1/(-2). Let n(c) = 0*c**2 + s*c**2 - 17*c**2. Let j(o) = 10*o**2. Calculate n(j(y)).
-300*y**4
Let l(b) = -b**2. Suppose 4*g - 456 = -4*g. Let f(s) = -g*s - 56*s + 396*s. Calculate l(f(k)).
-80089*k**2
Let j(m) = -1105*m**2 - 391*m. Let a(z) = 17*z**2 + 6*z. Let c(f) = 391*a(f) + 6*j(f). Let i(d) = -14*d**2 + 31*d**2 - 19*d**2. Determine i(c(y)).
-578*y**4
Let r(a) = a**2. Let y(c) = 15405557*c. Give y(r(i)).
15405557*i**2
Suppose -i + 7 = -v, -3*v = 4*i - 281 + 253. Let l(t) be the second derivative of -1/6*t**4 + 0*t**2 - t + 0 + v*t**3. Let h(f) = -25*f. Determine l(h(u)).
-1250*u**2
Let w(c) = -15*c - 1. Suppose -8*y - 12 + 28 = 0. Let b(h) = 0*h**2 + y - 2 - h**2. Calculate w(b(s)).
15*s**2 - 1
Let l(s) = 4371804*s - 5. Let b(i) = 3*i**2. Determine l(b(a)).
13115412*a**2 - 5
Let d(w) be the second derivative of 2 + 0*w**2 - 8*w + 2/3*w**3. Let y(c) = 2*c. Calculate d(y(u)).
8*u
Let r(q) = -43302*q**2 - 30930*q. Let n(o) = -3*o**2 - 2*o. Let i(s) = 15465*n(s) - r(s). Let p(v) = 2*v**2. Determine p(i(g)).
19133298*g**4
Let t(v) = -14059*v + 7033*v + 7025*v. Let i(w) = 2236*w. Determine i(t(s)).
-2236*s
Let v(y) = 6*y**2. Let d(i) = 32*i - 300. Let p(b) = -91*b + 873. Let r(c) = -17*d(c) - 6*p(c). Calculate v(r(h)).
24*h**2 - 3312*h + 114264
Let j(o) = -309*o. Let k(u) = 35*u**2 + 40*u**2 - 155*u**2 + 37*u**2 + 44*u**2. What is k(j(l))?
95481*l**2
Let f(i) = -5*i**2 - 2. Let t(y) = 3337495*y. What is f(t(h))?
-55694364375125*h**2 - 2
Let c(n) = -174*n. Let l(a) be the second derivative of 4*a**3/3 + 440*a. What is c(l(h))?
-1392*h
Let z(x) = 15*x - 3. Let s(i) = 4*i. Let o(q) = 12*s(q) - 3*z(q). Let h(r) be the first derivative of r**2 - 57. What is o(h(w))?
6*w + 9
Let g(o) = -86*o**2. Let c(u) = -26324*u. Determine c(g(v)).
2263864*v**2
Let q = 51 + -50. Let r(m) = -12*m**2 + 38*m**2 + q + 3 - 6*m**2. Let n(y) = y. Calculate r(n(u)).
20*u**2 + 4
Let r(n) = 2*n**2 + 6*n - 6. Let t(f) = -2*f**2 - 5*f + 5. Let l(w) = 5*r(w) + 6*t(w). Let b(c) = 45 + 18 - 455540*c**2 + 455538*c**2. What is l(b(x))?
-8*x**4 + 504*x**2 - 7938
Let q(w) = -2*w**2. Let x(t) = -886233279*t. What is q(x(p))?
-1570818849614183682*p**2
Let m = 4235 + -4235. Let q(l) be the third derivative of 0*l**3 + m*l + 0 - 19*l**2 - 1/24*l**4. Let i(j) = -16*j**2. Give q(i(n)).
16*n**2
Let t(g) = 8307*g. Let k(a) = 382*a**2 - 13*a + 13. Let q(p) = -294*p**2 + 10*p - 10. Let i(n) = -10*k(n) - 13*q(n). Calculate i(t(s)).
138012498*s**2
Let p(a) be the first derivative of -a**3/3 - 21. Let t(x) be the first derivative of 2 + 0*x**2 - 5*x**2 + 3*x**2. Calculate t(p(u)).
4*u**2
Let c(l) = -4*l. Let d(w) = -w**2 + 12*w + 21. Let y be d(12). Let i = -19 + y. Let o(m) = -i*m + m + 0*m + 8*m. Give o(c(s)).
-28*s
Let a(z) = -3*z**2 - z. Let l(p) = -17*p**2 - 5*p. Suppose 7*i - 18*i + 55 = 0. Let k(w) = i*a(w) - l(w). Let v(o) = 280*o**2. Determine k(v(u)).
156800*u**4
Let c(r) = -81*r. Let j(w) = 15*w**2 + w**2 - 15*w**2 + 2*w**2. What is c(j(k))?
-243*k**2
Let t(h) be the second derivative of 49*