- 3. Determine w(m(c)).
468*c - 3
Let q(j) = 2*j**2. Let y be (-78)/(-15) + -6 + (-8)/(-10). Suppose -o + 5*i - 7 = y, -o + i + 9 = -0*o. Let u(x) = -o*x - 82 + 82. Calculate u(q(w)).
-26*w**2
Let o(r) = r + 175 - 121 - 54. Suppose 2*d = 36 - 10. Let f(z) = 12*z + 20*z - d*z + 20*z. Determine o(f(a)).
39*a
Let i(p) be the second derivative of 121*p**4/6 + 919*p - 1. Let a(n) = 15*n**2. Give a(i(z)).
878460*z**4
Let h(t) be the first derivative of -t**3/3 - 3842. Let a(g) = 8926*g**2. Give h(a(i)).
-79673476*i**4
Let f(w) = w**2. Let p(u) = 88*u - 1119995. Determine p(f(n)).
88*n**2 - 1119995
Let a(c) = 3*c. Let l(j) = -43061*j**2 - 5*j - 4. What is l(a(w))?
-387549*w**2 - 15*w - 4
Let j(l) = -2*l**2. Let g(h) = 9*h + 25. Let w(x) be the first derivative of 8*x**2 + 49*x - 10. Let u(k) = -5*g(k) + 3*w(k). Give j(u(b)).
-18*b**2 - 264*b - 968
Let m(t) = 13*t**2. Suppose 29*z - 91 = 36 - 11. Let h(q) be the third derivative of 0*q**3 - 1/24*q**z + 0*q - 14*q**2 + 0. What is h(m(n))?
-13*n**2
Let x(y) be the third derivative of -819*y**5/20 - 1332*y**2. Let r(k) = 2*k**2. Determine x(r(z)).
-9828*z**4
Let x(n) = -7381*n - 1168 + 7381*n + 1168 - 8219*n**2. Let a(c) = 2*c**2. Calculate a(x(u)).
135103922*u**4
Let v(w) = 19987*w. Let z(d) = -45*d**2. Calculate z(v(h)).
-17976607605*h**2
Let i(x) = 2*x**3 + 21*x**2 - 17*x - 21. Let p be i(-11). Let q(s) = -3*s - p + 49 + 6*s. Let j(w) = -16*w - 9*w + 23*w. Calculate j(q(k)).
-6*k - 8
Let x(s) = 5*s**2. Let z(q) be the third derivative of 0*q**4 + 0 + 0*q + 0*q**3 - 1/30*q**5 - 17*q**2. Determine z(x(d)).
-50*d**4
Let y(z) = 9*z. Let d(c) be the third derivative of -c**4/24 - c**3 - 3*c**2 - 488. Calculate y(d(p)).
-9*p - 54
Let d(t) = -18626*t**2. Let z(g) = 8*g**2 - 511. Let u(j) = -7*j**2 + 438. Let p(v) = -7*u(v) - 6*z(v). Give p(d(a)).
346927876*a**4
Let m(z) = -7*z. Let s(y) = -147*y**2 + y + 831. Give s(m(c)).
-7203*c**2 - 7*c + 831
Let o(l) = -62 + 705*l + 19 + 110 - 65. Let w(z) = 2*z**2. Determine w(o(j)).
994050*j**2 + 5640*j + 8
Let m(o) = 17*o - 35. Let n(d) = 7*d - 14. Let p(f) = -2*m(f) + 5*n(f). Let k(x) = 196*x**2 - 13*x. Give k(p(v)).
196*v**2 - 13*v
Let o(v) = -7*v**2. Suppose -7*l = -4*n - 2*l, 2*n = 4*l. Suppose 4*j - k - 17 = n, -2*j + 23 = -4*k - 3. Let c(q) = -32 + 15 + 17 - j*q**2. Give c(o(u)).
-147*u**4
Let t(h) = 7924*h**2. Let f(c) be the second derivative of -c**4/12 - 3984*c. What is t(f(m))?
7924*m**4
Let p(k) = 673633167*k. Let o(v) = -2*v**2. Give o(p(b)).
-907563287364899778*b**2
Let f(i) = 335*i. Let t(x) = -409*x**2 + 167*x**2 + 226*x**2. What is t(f(a))?
-1795600*a**2
Let j(n) be the first derivative of -n**5/120 + 2*n**3/3 - 33*n**2/2 - 33. Let t(b) be the third derivative of j(b). Let i(l) = -2*l**2 + 8*l. What is t(i(g))?
2*g**2 - 8*g
Let i(s) be the first derivative of s**3 - 2. Let n(f) be the first derivative of 0*f - 5/2*f**2 - 45. Calculate n(i(t)).
-15*t**2
Let t(h) = 2433*h - 28. Let x(u) = -3*u - 7. Let a(c) = -t(c) + 4*x(c). Let d(g) = g. What is d(a(r))?
-2445*r
Let n(i) = 3*i**2. Let g(k) = 490*k**2 - 38*k + 11. Let b(v) = -98*v**2 + 7*v - 2. Let s(m) = 11*b(m) + 2*g(m). Determine s(n(h)).
-882*h**4 + 3*h**2
Let n(i) = 98 + 173*i - 259*i + 88*i + 190. Let o(l) = -4*l. Calculate o(n(z)).
-8*z - 1152
Let d(t) = 117*t. Let r(v) = 1 + v + 2 - 2*v**2 + 5*v + 3 + 5*v**2. Let b(q) = -q - 1. Let n(j) = -6*b(j) - r(j). Give n(d(x)).
-41067*x**2
Let c(s) be the third derivative of 47*s**5/60 - 4*s**2 + 2984. Let n(p) = -p - 2*p - p. Give c(n(o)).
752*o**2
Let n(c) = -319*c. Let i(f) be the second derivative of -f**4/3 + 1555*f. Calculate n(i(y)).
1276*y**2
Let i(b) = -4*b + 22. Let f(m) = -43 - 42 + 5*m + 135 - 47. Let n(o) = 2*o + 1. Let v(r) = -f(r) + 3*n(r). Calculate v(i(s)).
-4*s + 22
Let p be ((-184)/644 + 4/14)/2. Let h(z) be the second derivative of 0 + p*z**2 - 12*z - 52/3*z**3. Let f(d) = -2*d. What is h(f(x))?
208*x
Let b(x) = 16274*x. Let c(n) = 2*n - 16. Calculate b(c(z)).
32548*z - 260384
Let q be (-4)/10 - (-2127)/5. Let s = -161 + q. Let r(n) = s - 264 - 10*n. Let f(h) = 2*h**2. Give r(f(o)).
-20*o**2
Let n(z) = -398572*z**2. Let a(o) = -191*o. Give n(a(r)).
-14540305132*r**2
Let j(y) = 2*y**2. Let h(d) = 3888*d - 210. Let o(i) = -1297*i + 63. Let q(n) = -6*h(n) - 20*o(n). What is q(j(f))?
5224*f**2
Let f(q) = -1122*q**2. Let n(l) = 47 - 24 - 23 + 3*l**2. Give f(n(p)).
-10098*p**4
Suppose -5*p = -p - 12. Let v be 44/16 + (-2)/(-8). Let w(o) = v - p - 4*o**2 + 3*o**2. Let t(u) = -10*u. Give t(w(q)).
10*q**2
Let n(v) = 27*v**2. Let l(u) = -215*u**2 - 862*u + 1. Determine l(n(r)).
-156735*r**4 - 23274*r**2 + 1
Let k(d) = -3*d. Let a(z) = -19 - 1196*z + 593*z + 5 + 597*z - 93. Give a(k(t)).
18*t - 107
Let w(z) = -2*z**2. Let a(y) = 54*y**2. Let c = 14 + -15. Let k(v) = v**2. Let m(r) = c*a(r) + 18*k(r). Calculate m(w(q)).
-144*q**4
Let h(a) = -2*a**2. Let j(u) be the third derivative of -u**5/20 - 172*u**3/3 + 301*u**2. Give h(j(t)).
-18*t**4 - 4128*t**2 - 236672
Let r(m) = -49*m. Let y(i) = 27*i + 30*i + 39*i - 71*i. What is y(r(d))?
-1225*d
Let n(t) be the second derivative of t**5/20 + 2*t**3 - t**2/2 + 4*t. Let y(d) be the second derivative of n(d). Let v(h) = 0 - h**2 - 1 + 1. What is y(v(g))?
-6*g**2
Let k(z) = 643150*z**2. Let h(g) = 6017*g**2. Let x(s) = -2031*h(s) + 19*k(s). Let l(c) = 2*c**2. Give x(l(u)).
-2708*u**4
Let o(r) = 1463*r. Let n(x) be the first derivative of x**3/3 + 553. What is o(n(t))?
1463*t**2
Let v(b) = -3*b**2 + 309. Let t(n) = -52546*n**2. Calculate v(t(m)).
-8283246348*m**4 + 309
Let j(u) = 4*u + 28. Let v(n) be the first derivative of -19*n**2/2 + 7367. Determine j(v(g)).
-76*g + 28
Let w(d) = d**2 - 23*d. Let o = -75 - 5087. Let g = 8000 + o. Let i(r) = g + r - 2838. Calculate i(w(u)).
u**2 - 23*u
Let p(b) = -3*b**2 + 34*b. Let j(h) = 1894662*h. Calculate j(p(v)).
-5683986*v**2 + 64418508*v
Let k = -5 - -3. Let g(o) = -3*o + 3. Let f(n) = n - 2. Let c be 702/1170 + (-18)/5. Let i(l) = c*f(l) + k*g(l). Let p(h) = -5*h. What is i(p(u))?
-15*u
Let i(d) = -105785971*d. Let z(h) = -2*h**2. What is i(z(j))?
211571942*j**2
Let c(g) = 24*g - 34*g + 14*g. Let x(a) = -48*a + 12*a + 14*a + 14*a. Determine x(c(d)).
-32*d
Let h(k) = -3*k. Let r(x) be the second derivative of 17*x**6/90 - 115*x**4/12 + x**2 + 3*x + 70. Let y(q) be the third derivative of r(q). What is h(y(b))?
-408*b
Let z(f) = 9024*f. Let s(r) be the second derivative of r**3/6 + 489*r - 5. Determine s(z(x)).
9024*x
Let i(t) = 3*t - t + t - 13*t. Suppose -29 = -9*w - 11. Let b(r) = w*r + 0*r + 0*r + r. Determine i(b(s)).
-30*s
Let r(y) = -4*y + 181. Let c be r(49). Let l(a) = -7. Let w(v) = 3*v + 105. Let f(i) = c*l(i) - w(i). Let s(k) = -2*k - 8. Determine s(f(d)).
6*d - 8
Let u(g) = 3*g. Let p(r) = 2*r + 39. Let q be p(0). Suppose -15*h + q = -12*h. Let n(s) = 14*s - 24*s + h*s. Give n(u(y)).
9*y
Let g(f) = 3*f**2 - 6. Let q(a) = 5*a**2 - 15. Let v(m) = 5*g(m) - 2*q(m). Suppose -6*s = -4 - 50. Let j(d) = d**2 + s*d**2 - 13*d**2. Give v(j(w)).
45*w**4
Let x(g) = -9550504*g**2. Let r(w) = 7*w. What is x(r(m))?
-467974696*m**2
Let t(l) be the third derivative of l**5/30 + 781*l**2. Let m(a) = 51*a**2 - 5. Calculate m(t(c)).
204*c**4 - 5
Let o(p) = 0*p + 9 + p + 7. Let u(h) = -33*h**2 + 5*h - 110. Let x(b) = 86*b**2 - 13*b + 286. Let l(n) = 13*u(n) + 5*x(n). What is o(l(s))?
s**2 + 16
Let m(d) = -206231097*d**2. Let h(i) = i**2. Give h(m(r)).
42531265369823409*r**4
Let b(f) = 31*f**2. Let c be (-2808)/(-273) - 2/7. Let n(s) = 23*s - 5*s - 5*s - c*s. Calculate b(n(m)).
279*m**2
Let t(m) = -m - 1330. Let p(u) = -77 - 1140*u**2 + 1135*u**2 + 77. Give t(p(f)).
5*f**2 - 1330
Let n(r) = r**2. Let f(a) = 109164779*a**2 + 2*a. Give f(n(v)).
109164779*v**4 + 2*v**2
Let t(n) = -8*n**2 + 18*n - 279. Let v(z) = -283*z. Give v(t(c)).
2264*c**2 - 5094*c + 78957
Let h(r) = -2*r**2. Let c(o) be the second derivative of 7*o**3 + 62*o + 1. Let t(z) = -272*z. Let w(g) = -32*c(g) - 5*t(g). What is w(h(k))?
-32*k**2
Let y(w) = -2*w. Let s(p) be the second derivative of -p**4/12 + 15*p**2/2 + 11*p + 41. What is y(s(o))?
2*o**2 - 30
Let k be (-328452)/(-21) + (2 - (-55)/(-35)). Let c(t) = -5*t - k + 15641. Let o(w) = 6*w. Determine c(o(i)).
-30*i
Let m(r) = 17*r. Let f(o) = -340*o.