64/1620)/(-2)).
2296
What is the common denominator of 2430/(-928) + (5 - (-2205)/(-435)) and 71/112?
112
Let q(g) = 2079*g**2 + 9*g. Let y be q(1). Suppose -3*a + 1266 = n + n, 4*n = 5*a - y. What is the lowest common multiple of 18 and a?
1260
Suppose -16*a + 949 = -1691. Calculate the least common multiple of a and 1848.
9240
Let o = -27 - -31. Suppose -2*a + 4*q = -2, -a - 3*q + 15 = o. Let d = -40 - a. Calculate the common denominator of d and 47/8.
8
Find the common denominator of -11/25 and 5 - 102/(-60)*(-10416)/3568.
11150
Let c be (3/(108/15))/((-143)/182). Let n = 3587/330 - c. What is the common denominator of 123/40 and n?
40
Let d be (1 - 0)/((-20)/120). Let u be (28/6)/(d/9). What is the smallest common multiple of (-1)/u - 304/(-28) and 5?
55
Suppose 53 - 17 = -12*u. Find the common denominator of u*((-490)/(-72) + -3) and -73/36.
36
Let v be 2 + (-18)/27 + (-83)/(-3). Let o = v - 21. What is the least common multiple of 8 and o?
8
Let j = 3309670 - 89016586/27. Let w = -12757 + j. Calculate the common denominator of 2 - (-34)/30 - -3 and w.
135
Suppose 0 = 13*t - 2813 - 1416 - 3311. What is the smallest common multiple of 145 and t?
580
Suppose -5*g + 198 = -38*r + 40*r, 5*g + 218 = 2*r. Suppose -35*z + 36*z - r = -4*f, -3*f = -3*z - 93. Calculate the smallest common multiple of 63 and f.
189
Suppose 13*p - 339 = 10*p. Suppose -4*w = -p - 815. What is the common denominator of -89/6 and 1*3 + -2 + w/(-52)?
78
Let p = -85 - -84. Let g be ((-144)/84)/(p/7). Suppose 140 = -2*s + g*s. Calculate the least common multiple of 40 and s.
280
Suppose 480 = 3*n - 15. What is the smallest common multiple of (-47923)/(-799) - 31/(-1457) and n?
660
What is the common denominator of (-6 + (34160/(-100))/(-28))*(-10)/3096 and -163/60?
7740
Calculate the common denominator of (-198)/125*22/88 and 151/6.
750
Let y be 5*((-21438)/(-6) + -2). Let u = -1517656/85 + y. Calculate the common denominator of u and 61/45.
765
What is the common denominator of 10/185 - (-8062)/(-2664) and -23/504?
504
What is the common denominator of (-3156)/1053 + -2 + 50/10 and -52/63?
2457
Let n = 311224835/649 + -479545. Let q = n + 59303/50622. What is the common denominator of -46/33 and q?
858
Let x = -341 - -345. Suppose -2*k + 56 = 5*f, -6 = x*f - 22. Calculate the least common multiple of 188 and k.
1692
Suppose 18*f - 345 = 13*f + 5*a, 0 = 3*f - 2*a - 208. Let y(u) = 2*u**2 + 8*u + 23. What is the least common multiple of f and y(-7)?
910
Let v(o) = -5*o + 3. Let c be v(-1). Suppose -3*w - 30 = -c*w. Find the common denominator of 43/9 and -1*1/w + 452/(-168).
63
Suppose 52 = -2*b - 8. Let i be b/(-9)*36/20. Suppose i = 66*d - 64*d. What is the lowest common multiple of 18 and d?
18
What is the common denominator of -81/130 and 90/585*(-276)/440?
1430
Let r = 1573/8 - 199. What is the common denominator of (41 + -1 + -2)/8 and r?
8
Let w(a) = a**3 - 20*a**2 - 67*a - 26. What is the smallest common multiple of 120 and w(23)?
120
Let o(n) = 2*n + 8. Let m be o(-11). Let d = -9 - m. What is the common denominator of (d + -4 + -3)/(16/(-86)) and 8/5?
20
Suppose 24 = 3*x + 2*g - 1, 2*x - 19 = g. Calculate the lowest common multiple of 296 and x.
2664
Let i = -31 - -51. Let s be ((-4)/8)/(5/(-50)). Suppose 2*x - 24 = -2*l, 0 = 5*l - 2*l - s*x - 36. What is the lowest common multiple of i and l?
60
What is the smallest common multiple of (-8 - 4444)/(-7)*(-6 - -7) and 636?
636
Let u be ((-13)/9)/((-56)/(-102832)). Let t = 2652 + u. Calculate the common denominator of 50/21 and t.
63
Let j be (-45)/(-25) + -2 + (-1386)/(-55). Suppose -5*c - j = -165. Let u(f) = f**3 + 5*f**2 - 6*f - 2. Calculate the lowest common multiple of u(-5) and c.
28
Calculate the common denominator of 6/24*736/28 and -27/119.
119
Suppose -2*r - 8*r - 2310 = 0. Let x = r - -234. Let u(a) = 4*a + 3. What is the lowest common multiple of u(4) and x?
57
Suppose 77 = -7*b + 140. Let h(n) = 7*n - 57. Calculate the lowest common multiple of 106 and h(b).
318
Let j be (-6)/10 + 876/(-540). Let w = j - 73/36. Let t = -427/110 - 64/11. Calculate the common denominator of w and t.
20
What is the common denominator of 29/400 and (5 - -1)/(50/15)?
400
Suppose 0*i - 3 = 3*i, -4*c - i + 47 = 0. Suppose 0*w = 4*n - 2*w - 2, -n - 2*w - c = 0. Calculate the common denominator of 0/(-6) + n/(-5) and 47/3.
15
Calculate the least common multiple of 204 and 4 + ((-136986)/(-816) - ((-17)/8 - -2)).
8772
Let l be ((-200)/(-2))/(6 - 232/38). What is the common denominator of (5/(-65))/(5/(l/(-4))) and -26/9?
234
Let x = 809 - 805. Let a = 19 + -13. What is the least common multiple of -28*(15/a - 3) and x?
28
Let l(c) = -98*c + 6. Let b be l(-1). Let p = b - 70. Suppose -350 = -6*s + p. What is the smallest common multiple of s and 4?
64
What is the smallest common multiple of (-21 - 176/(-16)) + 44 and 20 + 4/6*3?
374
Let q = -3200 - -3203. What is the lowest common multiple of q and 5455?
16365
Let l = -5036189/77485728 + -27/47479. Find the common denominator of 137/84 and l.
11424
Let f = -770954/419 - -1840. Let x be (-4)/1257*(275348/160 - 9). Let o = f + x. Find the common denominator of o and 58/9.
90
Calculate the common denominator of 190/2470 + (-542)/(-52) and 16/211.
422
Let f = 10/673 + 77927/145368. Find the common denominator of f and 68/891.
7128
Suppose -5*a = 2*t - 41, a = -2*a + 2*t + 15. Let s(r) = -4*r**2 + 160*r - 1266. What is the least common multiple of s(29) and a?
70
Let c = 105 + -62. Let g = c + 5. What is the smallest common multiple of g and 18?
144
Let b be (4/6)/(11/132). Calculate the smallest common multiple of (-2)/b*-4 + 62 and 21.
63
Let x be ((-3)/30)/((-1)/6146). Let j = x - 68001/110. Calculate the common denominator of j and (-7181)/(-2580) + 3/(-15).
132
Suppose 628 = -19*o - 398. Find the common denominator of 6*3/84*(-553)/o and 1/4.
36
Let q = -9170331/245 + 37430. Find the common denominator of q and 73/595.
4165
Suppose -4 = 2*i - 5*q, 3*i = -4*q + 21 - 4. Suppose -5*r + 1549 = -w - 1876, 2055 = 3*r - i*w. Let z = 4762/7 - r. Find the common denominator of 41/5 and z.
35
Let t = -834 + 838. Let o = 46 - 23. Suppose t*s - 97 = o. Calculate the lowest common multiple of 18 and s.
90
Let v = 35583/7 - 676455/133. Let d be (-1)/(-4) - (-5466)/4. Let l = d - 1359. What is the common denominator of v and l?
76
Let g(o) = -23*o**2 + 134*o - 83. Calculate the lowest common multiple of 651 and g(5).
2604
Let g(t) = 7*t**2 - 4*t - 3. Suppose -21*f - 3 = -18*f. What is the smallest common multiple of g(f) and 48?
48
Let v(z) = -z**2 - 11*z + 14. Let t be v(-12). What is the smallest common multiple of 13 + -8 + (t + -4 - -1) and 2/4*(43 + 3)?
92
Let g = 1197190 - 770166. Let o = -51669604/121 + g. Let v = o + -20737/3630. Find the common denominator of v and -55/27.
270
Suppose 0 = -3*s + 5 - 50. Find the common denominator of ((56 - -28) + -2)*(4 + -2)/(-72) and (s/(-21))/(12/(-322)).
18
Let g be (-23)/5 - (-42)/70. Let z be 10/4*g/5. Calculate the common denominator of 29/7 and 53/24 - z/3.
56
Suppose -13*g = 7*g + 120. What is the lowest common multiple of 8/(4 - (-21)/g) and 84?
336
Calculate the smallest common multiple of 7 and (20214 - (-12 - (-12 + 0))) + -5.
20209
Let g = -72704 + 342799363/4715. Let o = g - -315806/155595. Calculate the common denominator of o and (2/64)/(27/2844).
264
Calculate the common denominator of (90/(-143020))/(1/(-4)*6/3) and -97/2.
14302
Suppose 714 = 8*h - 54. Suppose 39*i = 43*i + h. Calculate the common denominator of i and 47/17.
17
Suppose 0 = y + 2*y - 18684. Suppose 0 = 2*l - y - 5898. Let c = 133411/22 - l. What is the common denominator of -117/20 and c?
220
Suppose -7*u + 14*u + 7 = 0. What is the common denominator of (315/(-6))/(u + 25*1) and 20/192*46 + -1?
48
Let x = 10517/920 + -573/46. Find the common denominator of 143/192 and x.
960
Let t = -64 + 69. Suppose x = -t, -2*x = 2*z + 8 - 2. Let n = 16 + -5. What is the smallest common multiple of z and n?
22
Let k = 4 + -16. Let u = -9 - k. Suppose -4*q + 219 - 49 = -2*n, -n + 125 = u*q. What is the least common multiple of q and 12?
84
Let v be 3 + -4 + -4 + 3. Let l be (-3)/(-2)*v - 244/(-2). Calculate the common denominator of 101/22 and (l/56)/(3/(-14)).
132
Let y be (-1