n) = n**3 - 2*n**2 - 10*n + 7. Let i = -75 - -81. What is the lowest common multiple of b(i) and 11?
1001
Let n = 5 + -5. Suppose n = 5*j - 767 - 363. Find the common denominator of (-2)/(-5) + j/60 and -133/18.
18
Let q = -253002/115 + 2200. Let r = -4247/460 + q. Find the common denominator of r and 89/4.
4
Let m = 38512 - 3928289/102. Calculate the common denominator of (-9)/(-15) + -21*35/1350 and m.
306
Let g(o) = -o**3 - 5*o**2 - o. Let i be g(-5). Suppose i*n - 3*n = 40. What is the lowest common multiple of 16 and n?
80
Let u(z) = -z**3 + 17*z**2 - 31*z + 29. What is the smallest common multiple of 12 and u(15)?
84
Let u(m) = -4*m - 6. Let z(j) = j**2 - 5*j + 2. Let h be z(5). Suppose 4*q = h + 2. Calculate the smallest common multiple of q and u(-5).
14
Let g be -2 + (-12)/(-7) + 12378/252. Let y = g - 187/6. Find the common denominator of 111/22 and y.
66
Suppose -j = -3*b - 17, 5*j - b = -0*b + 43. Suppose 2943 = 11*o - j*o. What is the common denominator of (-6)/4 - o/90 and -51/2?
10
Let h = -5 - -17. Let i(u) = u**3 + 4*u**2 + 3. Let j be i(-3). Suppose -80 = -j*x + 8*x. Calculate the least common multiple of h and x.
60
Let n = 94 - 76. Find the common denominator of (n/16 - 1)*(-6576)/(-216) and -65/16.
144
Let v = 124 + -121. What is the lowest common multiple of v and 25?
75
Suppose -35*b = -32*b - 2*m - 14, m - 3 = -b. What is the smallest common multiple of b and 205?
820
Let m(j) = -j**2 + 17*j - 16. Let f be m(16). Let x = 2905/6 + -469. Calculate the common denominator of x and (f - 1/30)/(42/6195).
12
Suppose -229 + 261 = 2*u. Calculate the lowest common multiple of u and 1512.
3024
Find the common denominator of 62/18 - 18/9 and 35/3.
9
Let a = 2086299/1540 + -9482/7. Find the common denominator of a and -101/10.
220
Let k = 18521/6 + -3094. Find the common denominator of k and (57/30 + -2)/(4/96).
30
Let n be (6 - 4)/(-1*66/(-1042)). Let o = n + -153/11. Suppose f = w + 2*w + 78, -f + 3 = 0. Find the common denominator of o and w.
3
Let w = 306 + -252. What is the lowest common multiple of w and 24?
216
Let u = 21 - 35. Let b = 36 + u. Calculate the lowest common multiple of (-3)/((-6)/8 + 0) and b.
44
Suppose 24 = -2*l + 6*l. Let n be (-64)/12 - 4/l. What is the smallest common multiple of 4 and 3/n + 99/6?
16
Let t be -1 + 0 + (-161767690)/(-7190). Let u = t - 22498. Let r = u + -32271/5033. What is the common denominator of 23/11 and r?
77
Suppose -2*g - 210 = -4*g. Let x = -1732 - -20813/12. What is the common denominator of (59/(-7))/((-270)/g) and x?
36
Suppose 0 = -5*t - 30. What is the common denominator of 121/(-8) + t/(-2) and -127/12?
24
Let x = -968 + 1005. Calculate the lowest common multiple of x and 18.
666
Suppose 0 = 14*m + 5 - 61. Calculate the lowest common multiple of 21 and m.
84
Let o = -12739/30836 - -11/1186. What is the common denominator of -131/130 and o?
260
Let h = -18202/7 + 2592. What is the common denominator of h and (2 - 1)*1 + -41?
7
Let d(g) be the third derivative of -g**6/120 - 2*g**5/15 + g**4/4 - 19*g**3/6 - 5*g**2. Calculate the least common multiple of d(-9) and 8.
8
Let i = 72/145 + 1191/580. Calculate the common denominator of i and 13/11.
220
What is the common denominator of 7/(168/(-93)) - (1 - 5) and -127/324?
648
What is the common denominator of (-2)/5*(11750/(-1440))/5 and -145/6?
72
Let g = 49 + -655/12. Let d = 2080 + 933. Let s = -60273/20 + d. Find the common denominator of s and g.
60
Let f be (-2 - -1)*(-21 + -3). Suppose -18*x + f = -14*x. Let y(p) = p**2 - p - 1. Calculate the least common multiple of x and y(-1).
6
What is the common denominator of (0 - (-31)/(-3)) + 4 and 2723/105 + 3/(-5)?
3
Suppose 2*r = r + 5*a - 1, r + 5*a = 9. Let j be 4/(-220)*3172530/r. Let b = 14418 + j. Find the common denominator of b and 59/22.
22
Calculate the common denominator of 11/(-22)*535/30 and -145/72.
72
Suppose -56 - 52 = -4*c. Calculate the common denominator of (22/c)/(((-96)/45)/(-8)) and 46/9.
18
What is the smallest common multiple of 6 and (3*(-6)/(-27))/(8/720)?
60
Calculate the common denominator of 13209/2142 + (-11)/9 + 1 and ((-2)/4)/((-120)/592).
90
Suppose k - 4 = 0, -23*l - 5*k = -27*l - 12. Calculate the least common multiple of 734 and l.
734
Let r = 16806 - 13780923/820. Let m = r + 48401/5740. What is the common denominator of -37/2 and m?
14
Calculate the common denominator of 13/6 and (-3)/9 - (-3612)/144.
12
Let m = -43 - -92. Calculate the least common multiple of 42 and m.
294
Let h = 3/5 - -1/15. Let b = h - -89/24. What is the common denominator of 48 and b?
8
Suppose -23 = -o - 0*o - 3*r, -5*o + 97 = -3*r. Calculate the smallest common multiple of 5 and o.
20
Let t(m) = 22*m - 383. What is the least common multiple of 11 and t(26)?
2079
What is the smallest common multiple of (-16)/((10 + -9)/(-3)) and 186?
1488
Suppose -5*l = t + 169, -4*t - 4*l - 405 = 191. Calculate the common denominator of 19/32 and -3 + 4/(t/118).
288
Let v = 524/1335397 - -9066467301/779871848. Let a = v - 1/1022. What is the common denominator of a and -48/23?
184
Suppose 0 = -w + 3*y + 31, -15*y = 4*w - 11*y - 92. Let x be (-143434)/20 + 4/10. Let z = -7179 - x. What is the common denominator of z and w?
10
Suppose -2*q + 2 = -8. Suppose -2*a + q = -53. Suppose a*w - 26*w = 27. What is the lowest common multiple of w and 5?
45
Find the common denominator of 143/102 + ((-592)/(-48) - 14) and -50/187.
374
Let r = 16 + -10. What is the least common multiple of 74/8 - r/(-8) and 16?
80
What is the least common multiple of 576/(-54)*(-3)/2 and 76?
304
Let v(b) = -b**2 - 7*b + 2. Suppose 0 = -5*y + 6*c - c - 40, 0 = -y + 4*c - 11. Let z be v(y). Calculate the least common multiple of 3*((z - -7) + -3) and 10.
90
Let a(f) = 0*f + 11 + 6 + f. Suppose 3*j - 5*b + 21 = 0, -5*j - 2*b - 14 = -3*j. Calculate the lowest common multiple of a(j) and 12.
60
Calculate the smallest common multiple of 6 + (7 - 8) + 0 + 2 and (1/3)/((-3)/(-54)).
42
Suppose -c - 6 + 18 = 0. Calculate the common denominator of (-2)/c + 41/(-9) and -83/8.
72
What is the common denominator of (39/21)/((-28)/(-686)) and -97/4?
4
Let d = 247374821/90 - 2748572. Let s = -319/10 + d. Find the common denominator of -53/4 and s.
36
Suppose -13 = -3*p - 2*a - 0*a, -5*p = 2*a - 19. Calculate the common denominator of -85/2 and 1/8 - p/6.
8
Suppose 7 - 2 = 5*w. Let f = 0 + w. Suppose 10*x - 7*x - 3 = 0. What is the least common multiple of f and x?
1
Calculate the least common multiple of 43 and ((-175)/(-15) - 10) + (-4)/6.
43
Let f = -37/54 + -199/189. What is the common denominator of f and -71/32?
672
Let a(b) = -5*b - 5. Let r be (6/10)/(2/(-10)). Let d be a(r). Let h = 13 - d. Calculate the lowest common multiple of 2 and h.
6
Let p be (1/(-18))/((-12)/583722). Let g = -2700 + p. Find the common denominator of 17/(-6)*9/(-6) and g.
12
Let i(r) = 667*r + 2. Let c be i(-1). Let n = c - -1945/3. Let o = 1006 - 5047/5. Find the common denominator of o and n.
15
Suppose 3*z - 18 = -3*j, -2*z = -4*j + 3*z + 6. Let l = -410 + 1246/3. Find the common denominator of 2/12 - (5 + -21 + j) and l.
6
Let y(h) = -h + 51. Let l be y(-9). Suppose 0 = -l*k + 57*k + 24. Calculate the least common multiple of 20 and k.
40
Let a be 0 + 0*(-4)/12. Suppose i + i - 66 = a. What is the common denominator of 6/11 and 215/(-12) + i/(-44)?
33
Let l = -6311809/180 - -35065. Calculate the common denominator of 47/120 and l.
360
Calculate the least common multiple of ((-2)/14)/((-1330)/147 + 81/9) and (-4)/18 - (-220)/18.
12
Let i = -377 + 399. Suppose 4*u - 273 + 77 = -4*o, -5*o = u - 233. What is the smallest common multiple of o and i?
506
Let m(o) = -4*o**3 + 88*o**2 - 5*o + 114. Let i = 0 + 4. What is the lowest common multiple of m(22) and i?
4
What is the common denominator of 137/12 and ((-4)/(-6))/((-448)/624)?
84
Let v = 11677/2270 + -10/227. Find the common denominator of 16/55 and v.
110
Let c = -850/3 + 16871/60. Let v = -201857/16 - -12622. Find the common denominator of v and c.
80
Suppose -3*d = 5 + 4. Find the common denominator of d - 1 - 33/24 and 31/6.
24
Let n(b) = -b**3 - 30*b**2 - b - 26. Calculate the least common multiple of n(-30) and 46.
92
Let t be (14/4)/(1/4). Let y(p) = -p**2 + 13*p + 24. What is the least c