 v = 61/249675 - 205838719/27214575. Let q = v - 4/109. Calculate the common denominator of -7/25 and q.
25
Let w = 580207/32 + -18130. Calculate the common denominator of 10/1 + (644298/900)/(-73) and w.
2400
Let s be (-2)/(9/27*2/(-44)). Suppose s = -2*l + 180. Suppose -j = -5*p - 9, 3*j = -2*j - 3*p + 129. What is the lowest common multiple of l and j?
24
Suppose 0 = -3*h - 4*z - 50 - 56, 6*h = -z - 205. What is the common denominator of 1 and (-5)/393*153/h?
262
Let v = -175 + 250. What is the common denominator of 62/15 and ((-116)/10)/(36/v)?
30
Let s be (93/50)/((-6)/5). Let r = 1/46355 - 576673/778764. Let j = r - s. Find the common denominator of j and -76/3.
21
Suppose u + 35994 = 3*s - 142, -3*u = -3*s + 36138. Calculate the common denominator of -2 - 2 - s/(-2442) and -145/6.
222
Let m = -40 + 40. Suppose m*x + x - 3 = 0. Calculate the smallest common multiple of 56/x + 16/(-24) and 21.
126
Let y(v) = v**3 + 26*v**2 + 7*v - 44. Let a be y(-26). Let b = a - -235. Calculate the lowest common multiple of b and 2/(-7) + (-37)/(-7).
45
Let v = 107 - 1182/11. Let d be (-1170)/4*85/(-15). Let g = d - 5009/3. Calculate the common denominator of v and g.
66
Suppose 2587*u - 5*g = 2588*u + 1, g + 2 = 0. What is the lowest common multiple of u and 6/(-21) - 18/(-14)?
9
Let d = -274454897/570 - -481500. What is the common denominator of d and 31/1710?
1710
Let m(j) = 2*j - 3. Let i be m(-4). Find the common denominator of 1/(-7*4/(-88))*(-175)/(-180) and 2/(-12) - i/12.
36
Let z = 179536103/57072 + -91226/29. Find the common denominator of z and 127/18.
5904
Find the common denominator of 5/(-480)*(-86)/((-4)/24*-4) and -187/360.
1440
Suppose 4*u + 49 = j, j - 4*j = 3*u - 162. Let o(f) = 7*f**3 + 3*f**2 - f - 2. Let a be o(-2). Let c = j + a. What is the lowest common multiple of c and 13?
117
Suppose 5*n + d = 16, 2*n - 6*n + 3*d = -28. Let s = 175 - 169. Let v(m) = -3*m**3 + 19*m**2 - 2*m + 4. What is the smallest common multiple of n and v(s)?
28
Let k(u) = u**3 + 7*u + 420. Let d be k(0). Let n = d + -252. Calculate the lowest common multiple of 22 and n.
1848
Let h = -756559 + 469066461/620. Find the common denominator of -103/220 and h.
6820
Let z(b) = -b + 7. What is the lowest common multiple of 15*(-30)/(-75) + 4 and z(-4)?
110
Let y be 0/(-1 - -4) + 2. Suppose -7*t + y*t = 25, 2*t - 15 = -5*m. Suppose -p = 3*z - m*z + 6, p + 21 = 5*z. Calculate the lowest common multiple of 8 and p.
8
Let y(m) = 2*m**2 - 66*m + 66. Let d be y(32). Suppose -4*l + 167 = -5*i, -d*l - 4*i = -95 - 21. Calculate the smallest common multiple of l and 87.
1392
Let p(r) = r**3 + r. Let y(u) = -2*u - 12. Let d be y(-6). Suppose s - b = 5, -s + 5*b - 9 - 2 = d. What is the least common multiple of p(2) and s?
90
Let n = 148739903/837 - 177706. Find the common denominator of n and -139/1116.
3348
Suppose 1 = p - 4*r - 5, 0 = 4*p - 3*r - 11. What is the common denominator of (-31)/((70/(-42))/(1 - 15/12)) and p/(-44)*119 + 2?
220
Suppose -5*q = h - 0*h - 2, -5*h + 3*q = 18. Let m = 10 + h. Let y(f) = f**3 - 11*f**2 + 12*f - 12. Calculate the smallest common multiple of m and y(10).
56
Let m be ((-44)/(-2))/(1/4*2). Let u = -28 + m. What is the lowest common multiple of 44 and u?
176
Let m(c) = 79*c**3 + c. Let j be m(1). Suppose 0 = -3*k + j + 298. What is the common denominator of 1211/k - (2 + 1) and -95/6?
18
Let d = -215126369/1001490 - -1222320/4769. Let t = -40865 + 81525673/1995. Let h = d - t. What is the common denominator of 5/24 and h?
24
Suppose 0 = 4*n + 3*f - 91, -2*n - 3*f - 36 + 71 = 0. Calculate the lowest common multiple of 658 and n.
1316
Let d = 52457818/645 - 81330. Calculate the common denominator of 71/45 and d.
1935
Suppose 6*l = l + 7*l + 2*u, 0 = -5*u - 20. Calculate the smallest common multiple of 76 and l.
76
Let r = 235 - 209. Suppose 0 = 8*h - 186 + r. Suppose -10*y = -7*y - 6. What is the lowest common multiple of y and h?
20
Calculate the least common multiple of 232 and ((-3)/5)/((11 + -22)/110).
696
Let k = -13660 + 15408. Calculate the smallest common multiple of k and 20.
8740
Suppose -518*o + 498*o = -14400. What is the smallest common multiple of 6 and o?
720
Let n = 7228 - 7223. Calculate the lowest common multiple of 35 and n.
35
Let x = -24001 - -24011. What is the lowest common multiple of x and 2318?
11590
What is the common denominator of 1/(-1)*0 + 13031/(-174584) and -36/139?
1112
Let l be (-21651)/(-119020) + (-6)/33. Let k = 4026013257936959/259680 + -93022487467/6. Let o = l - k. What is the common denominator of o and 57/4?
32
Let w(n) = -n**3 - 8*n**2 + 53*n + 84. What is the least common multiple of 56 and w(-12)?
168
Let t = -165/146 + -5099/5694. Find the common denominator of 22/(-13) - ((-260)/39 - -7) and t.
39
Suppose 5*g - 67 = -3*c, -4*g = 2 + 2. What is the common denominator of ((-40)/36)/(c/522) and (50/12)/(12/18)?
12
Suppose 17*a = 6*a + 781. Suppose -c = -6*c + 4*i + a, 5*i - 2 = -2*c. Let n(l) = l**2 - 11*l + 12. What is the smallest common multiple of n(c) and 33?
132
Let q(g) = -g**3 + 3*g**2 + 5*g - 2. Let c be q(-7). Calculate the common denominator of 4/24*(-2 + (-112)/5) and (c/(-21))/(36/(-21)).
60
Let h(n) = 2*n**2 + 4*n - 153. What is the least common multiple of h(-11) and 2?
90
Let s = 62 - 58. Suppose -s*w = -4*l - 112, w = -2*l - 8 + 51. Calculate the smallest common multiple of w and 66.
66
Suppose 10 = 2*t - 0. Suppose -144 = t*d + 4*d. What is the common denominator of 89*6/d*2/(-18) and 43/3?
24
Let h = -19819327/150089420 - 2/1731801. What is the common denominator of 44/585 and h?
2340
Let n = -2814 - -33799/12. Let i = -281 + 2516/9. What is the common denominator of n and i?
36
Let m = -109 + 121. Let r be 11/(66/m) + 5. Suppose 0 = -2*p + 4*y + 47 + r, 2*y - 36 = -2*p. What is the least common multiple of 33 and p?
231
Let m = 5461357204554297/8708105477181880 + 1105/9080070568. Let h = -2/17437 - m. What is the common denominator of -13/2 and h?
110
Suppose -8 = -4*l + 5*k, 0 = -3*l + k - 2 + 19. Suppose 4*o + 3*g - 28 = 0, 3*o - 19 - l = -g. What is the smallest common multiple of o and 8?
40
Let n = 28 - 25. Suppose -7 = -5*q + n. Suppose -q*u = -24 - 6. Calculate the lowest common multiple of 4 and u.
60
Let y = 36 - -20. Let a = 56 - 104. Find the common denominator of (-50)/(-28)*y/a and -31/52.
156
Suppose 0 = -4*f - 478*b + 480*b + 4544, 3*f - 3412 = b. What is the least common multiple of f and 1330?
7980
Suppose 0 = -j - 21 + 11. Let v be 9891/j - (-2)/4. Let n = 168337/170 + v. Find the common denominator of -1/20 and n.
340
Find the common denominator of (2/(-6))/((-22308)/996 - -24) and -145/36.
4788
Suppose 2*y + 2*y + 33 = 3*t, y + 22 = -2*t. What is the common denominator of 13/63 and 740/192 + y + 5?
1008
Suppose 47*w + 3270 + 410 = 139*w. Calculate the lowest common multiple of w and 60.
120
Suppose -27*f = -24*f - 753. Let m = f + -233. What is the lowest common multiple of (-10)/1*(-16)/5 and m?
288
Let z(h) = -2*h**3 + 57*h**2 - 32*h - 80. Calculate the smallest common multiple of z(27) and 2599.
28589
Let u(a) = 5*a + 17. Let o = 39 - 42. Let d be u(o). Suppose d*m + 2*m = 56. What is the least common multiple of m and 18?
126
Suppose 6*a + 0*a = -108. Find the common denominator of (-1)/a*(-1947)/(-44) and -2/375.
3000
Let v = -81600949/3146 + 25938. Let c = v + -147819/135278. What is the common denominator of -51/7 and c?
301
Calculate the smallest common multiple of 1810*(4*(-10)/32)/(5/(-6)) and 18.
16290
Let v = 47477406093/200 + -237452338. Let f = 65307 + v. Calculate the common denominator of f and -27/10.
200
Find the common denominator of 37/12238 and 764/112 - (23/(-4) - (-69 + 64)).
85666
Let h = 55 - 64. Let o be (-2 + (-2518)/16)*12/h. Let i = 237 - o. Find the common denominator of i and -107/10.
10
Let l(b) = 45*b**3 - 406*b**2 + 9*b + 12. What is the least common multiple of 309 and l(9)?
1236
What is the lowest common multiple of 240 and -10*(36/32)/(9/(-12))?
240
Suppose -4*l + 4*z - 4 = 0, -5*l + 0*z + 16 = 2*z. Suppose -7*v + 4*v - l*f + 314 = 0, 5*v - 4*f = 560. Find the common denominator of v/(-28) - 0 - -1 and -40.
7
Suppose -8505 = -0*n + 15*n. Let k = -527 - n. What is the smallest common multiple of k and 12?
120
Let l =