
9864
Let d = 1824911/6125376 - 500/1569. What is the common denominator of d and -125/48?
11712
Let j = -77 + 85. Let n(u) = -2*u**2 + 20*u - 20. Calculate the lowest common multiple of (-3)/3*-21 - 0 and n(j).
84
Find the common denominator of -23/382 and (-4383)/370 - (-274)/(-5069).
1910
Let p = -814 - -684. Find the common denominator of (3 - -1) + (-13)/p*445 and (-1)/(-18)*(1 - -135).
18
Let r = -7802693/870 - -26905/3. What is the common denominator of -111/754 and r?
3770
What is the common denominator of 19 + (-7898)/5720 + -18 and -38/117?
2340
Suppose 35*k = -31*k + 3564. Calculate the lowest common multiple of 112/(4 + 30/(-9)) and k.
1512
Let r(m) = 4*m + 3928. Let g be r(0). Let v = -133579/34 + g. What is the common denominator of 121/10 and v?
170
Let t(p) = 3*p + 9. Let o be t(-7). Calculate the common denominator of 166/o*(-15)/10 and ((-69)/8211)/(8/(-1106)).
68
Let j be (53294/(-6))/(2326/3 - -6). Let r = j - 2/293. Calculate the common denominator of -1/133 and r.
1064
Suppose 0 = -3*a + 3, -22 = -3*v - 4*a - 9. Let q(m) = 2*m - 6. Let c be q(v). Suppose 5*k + c*k = 60. Calculate the least common multiple of 14 and k.
84
Suppose -6*v + 10 = -8. Suppose 61 - 154 = v*o. Let f = o - -36. Calculate the lowest common multiple of 11 and f.
55
Let a = -21090 + 738211/35. What is the common denominator of -119/1810 and a?
12670
What is the common denominator of 11/15 and (-9821)/1918 + 5/1?
4110
Let c = -220 + 223. Suppose c*k - 1249 - 189 = -4*f, -1433 = -3*k - 5*f. Calculate the lowest common multiple of k and 20.
4860
Let y(s) = s**3 - 24*s**2 + 4*s - 22. Let l = 262 + -238. What is the smallest common multiple of 18 and y(l)?
666
Suppose 387*p = 384*p + 252. Suppose -6*t = -7*t + 40. Calculate the smallest common multiple of t and p.
840
Calculate the common denominator of -53/304 and ((-108)/(-1296))/((-2)/118).
912
Let s(h) = h - 9. Let c be s(9). Suppose -b - 5*g = -4*g - 37, c = 2*g + 10. Calculate the smallest common multiple of 15 and b.
210
Let z = 21 + -71. Let g = -652/45 + -1/90. What is the common denominator of g and (105/z)/(12/10)?
4
Suppose 2*q + 2*x + 94 = 5*q, 4*q + 3*x = 148. Let u = -33 + q. What is the common denominator of u/(-5)*3905/(-66) and 65/2?
6
Calculate the common denominator of 39*1*44/25542 and -46/99.
4257
Suppose 24 = 4*x - 12. Let c = 9498 + -9444. What is the lowest common multiple of c and x?
54
Let n = 268 - 163. Suppose -5*l + n = 5*b, -4*b - 44 = -3*l + 19. What is the common denominator of l and -5*(-1)/(45/(-78))?
3
Calculate the smallest common multiple of 9 and 10/(-16)*-4*216.
540
Suppose 3*v - b + 335 = -0*v, 2*b + 2 = 0. Let a = -1491 + 29933/20. Find the common denominator of 4*2/(-2) - 1224/v and a.
140
Calculate the lowest common multiple of (-6)/(217/(-86) + (-145)/(-58)) and 301.
1806
Find the common denominator of (40/18 - 2)/((462/(-341))/(-21)) and -4/717.
2151
Let i be 4/(-8) - (-100986)/(-112). Let h = -314708/7 + 44044. Let q = h - i. Find the common denominator of q and -101/20.
40
What is the common denominator of 11/1104 and 680/(-24)*3/90?
3312
Suppose 5*p - 81 = -21. What is the smallest common multiple of (-47141)/(-238) + -2 + 243/126 and p?
396
Let d = 21677/24 + -905. Find the common denominator of 71/210 and d.
840
Let m = 60584 - 484687/8. Let t = 6/13 + -68/91. Let j = -599/14 - t. What is the common denominator of j and m?
8
Calculate the least common multiple of 138 and 46916/60 + 5/75.
2346
Find the common denominator of (1 - (-9)/(-6))/((-6688)/3136) and 103/3724.
40964
Let q(a) = 13*a**3 - 4*a**2 - 5*a - 19. Let w be q(8). Let u = w - 513575/81. What is the common denominator of 45/2 and u?
162
Let a be 4/(-18) - (-7 - 77310152/2628). Let g = a - 29424. What is the common denominator of 29/8 and g?
584
Calculate the lowest common multiple of 1521 and 676*75*25/500.
7605
Let l = -7046 - -140959/20. Let w(g) = -g**2 + 7*g - 7. Let x be w(5). Calculate the common denominator of ((-412)/(-22)*x/12)/(-1) and l.
220
Let z = -203/6 + 27/2. Let n = 15774817230/25812694169 + -20/1743041. Let s = n + -13/251. Calculate the common denominator of s and z.
177
Let i = 872 + -1298. Let q = i + 5967/14. Find the common denominator of q and 5/(-19)*(-27)/(-18).
266
Suppose -v - 2*v + 2*i + 434 = 0, -577 = -4*v + i. What is the smallest common multiple of v and ((-36)/(-15))/(21/525)?
720
Suppose -3*k + 3*b + 25 + 5 = 0, 2*b = k - 10. Find the common denominator of -97/24 and (k/4)/((-4920)/880).
984
Let w(n) = 9*n + 14*n - 9 + 5*n - 29*n. Let s be w(-11). Suppose 57 = 2*u - 3*q, 5*u + s*q - 26 = 69. Calculate the lowest common multiple of u and 24.
168
Let q = -189949/23262 - 4/3877. What is the common denominator of q and 57/20818?
62454
Let i = 118097838053481709/178254 - 662525598601. Let u = 4/3301 - i. What is the common denominator of u and 35/6?
54
Let l(j) = 16*j - 50. Let v be l(14). Let o = v - 158. What is the least common multiple of o and 40?
80
Let u be (-4 - -17)*(-1 + 2). Suppose -j + 19 = q - 0*j, u = 2*q - 3*j. Let n = 4 + 16. Calculate the smallest common multiple of q and n.
140
Suppose 25*v - 26*v - 16 = 0. Calculate the smallest common multiple of 20 and (14 + v)*-1*10.
20
Let g = -763/99 - -56/9. Let m be ((-2)/(-18))/((-80)/1303170). Let p = m + 7251/4. Find the common denominator of p and g.
264
Let k(u) = -12*u - 12. Let j be k(6). What is the common denominator of (-1)/9*371/21 and 3 - (-3 - 212/j)?
189
Let o = -5453 + 27211/5. Suppose -w = -g + 5 - 3, 0 = -g + 3. Calculate the common denominator of (w - (-27)/5) + 1 and o.
5
Suppose 5*f + 3*a = 19, 2*f - 2*a - 19 = -7*a. Suppose 0 = -5*m + f*m + 36. What is the smallest common multiple of (80*4/144)/((-2)/(-9)) and m?
60
Let w be 14/(-4)*36/6. Let s be 1383/w - 9/63. What is the least common multiple of ((-9)/6)/(69/s + 1) and 30?
330
Let c(f) = 26*f**2 + f + 13. Let p be c(-8). Suppose 8*q + p = -691. Calculate the common denominator of (-1 - (-9)/10)/((-10)/q) and 5/4.
20
Calculate the common denominator of 163/120 and ((-73)/34 + 2)*(-3534)/(-380).
2040
Suppose 0 = 3*h - 2*h. What is the smallest common multiple of 2 + h + -2 + 8 and 8/(-32) + ((-570)/24)/(-19)?
8
Calculate the common denominator of -1/615 and (158/553)/((-36)/133).
3690
Suppose 11*b - 4*b + 6145 = 3*s, 3*s - b - 6121 = 0. Suppose 1766 = -3*f + s. Calculate the least common multiple of f and 104.
728
Suppose 0 = -4*v - 4*v - 8. Let j be v + (-63)/(-13) + 16/104. Suppose -j*c = -4*n - 660, -875 = c - 6*c - 5*n. What is the least common multiple of c and 4?
340
Calculate the common denominator of (-901)/720 + 3504/2920 and -51/76.
13680
Suppose 0 = k - 5*k + 60. Suppose 5 = 16*s - 27. Suppose s*q - 34 = 32. Calculate the least common multiple of q and k.
165
Let b be 6513/16320 - 1/(10/4). Let c = b - -16049/1088. Calculate the common denominator of -1*((-38)/(-44) + 0) and c.
44
Let t = -5633086/135 - -41726. Find the common denominator of 37/180 and t.
540
Let m = -41 - -117. Let q = m + 160. What is the smallest common multiple of 16 and q?
944
Let x(c) = 8*c + 41. Let v be x(4). Suppose 7*l = v + 172. What is the lowest common multiple of 91 and l?
455
Let l be 6/(-27) + (-13964)/2448. Let r = l - 14/17. Let o = -6857/668 - -5/334. What is the common denominator of o and r?
4
Let i = 24 - -16. Suppose 4877 - 4697 = 6*j. What is the least common multiple of j and i?
120
Let o(u) = -32*u - 130. Let t be o(20). What is the common denominator of 116/(-290) + (-703)/t and 57/10?
770
What is the lowest common multiple of 1692 and -7 - 2 - (3 + -18)?
1692
Let d = -391/40 + 34/5. Find the common denominator of d and 2/(-7) + (-614)/448.
160
Calculate the smallest common multiple of 114 and (-3)/9*(2 + -18 + -41).
114
Suppose -14*q + 3312 = -12*q. Let x = -11615/7 + q. Find the common denominator of ((-140)/4060)/((-2)/78) and x.
203
Let i = 149 + -140. Suppose -14*l = -187 - i. Calculate the least common multiple of l and 24.
168
Let a be 708/8 - (5 + -10). Let n = -309/4 + a. Calculate the common denominator of n and -16/9.
36
Suppose 11*k + 2*w + 2338 = 15*k, -4*k + 5*w = -2323. What is the least common multiple of k and 2?
1174
What is the common denominator of 33277/2177*7/(-5904) and 113/3690?
29520
What is the small