and y?
23358
Suppose 179*k - 912*k + 28656 = -642772. What is the lowest common multiple of 1832 and k?
1832
Let u be (23/440)/(15/(-1270)). Let m = u + 31/60. Let s = 700/323 - 11/19. What is the common denominator of s and m?
187
Suppose -a = 4*s - 20, 0*s = -2*s - 2. Let c(r) = 223*r + 913. What is the least common multiple of a and c(-4)?
168
Let s(c) = -2*c**3 + c**2 - 3*c - 2. Let a be s(-2). Suppose a = 4*p - 0*p. Calculate the least common multiple of (-3)/(-2)*(2 - (-16)/p) and 11.
77
What is the common denominator of 27/1544 and (-502)/84 - (-3)/12 - 404/(-2828)?
4632
Calculate the common denominator of (-3412)/(-2296) - (-292)/(-511) and 45/902.
902
Let v = 1042069351/660 - 4737664/3. Let j = v - -3561/11. Calculate the common denominator of 58/7 and j.
140
Let r be 600/140 + (0 - 2/7). Let g = -6 - -10. Suppose -g*w - 32 = -j, r*j = w + 11 + 102. What is the lowest common multiple of j and 24?
168
Find the common denominator of -1/63 and ((-39)/24)/(18/(-40)*36/(-108)).
126
Let k = 3697 + -184833/50. Find the common denominator of k and -47/50.
50
Let w = 2447/2136 + -11/534. Find the common denominator of (-5)/(-10) + 138/(-110) and w.
440
Calculate the common denominator of -25/416 and (-1 + 62/32)*1974/(-3055).
416
Let u(g) = 7*g + 110. Let s be u(-18). What is the common denominator of 127/24 and (1/s)/((10/(-55))/2)?
48
Let g be 6 - (-51 + 14/(-2)). Let u = g + -62. Calculate the smallest common multiple of 173 and u.
346
Let m = 60 + -60. Suppose -9 = h + n + 3*n, m = h - n - 6. Let o = 28 + h. What is the smallest common multiple of 8 and o?
248
Let u = 1132 + -774. Calculate the smallest common multiple of u and 8.
1432
What is the smallest common multiple of (-25801614)/(-24786) + (-4)/(-162) and 6?
2082
What is the common denominator of 97/12 and (-2 - (-78)/(-36))/(192/(-54))?
192
Suppose 3*j - 105 = -117, -2*u - 3*j + 84 = 0. What is the smallest common multiple of (-25 - -20) + 266/2 and u?
384
What is the common denominator of (-137)/3*(1 - 31/30) and -28/207?
2070
Let t = -48 + 75. Calculate the common denominator of 6/t + 704/(-36) and -37/15.
15
Calculate the lowest common multiple of 182 and (1125 - -29) + -14 + 4.
8008
Suppose -571*w + 2076 = -2492. What is the least common multiple of w and 5184?
5184
Let d(p) = -4*p - 4. Suppose -21*b + 39*b = 594. What is the smallest common multiple of b and d(-10)?
396
Let d be 82/(-615) + (-184)/(-30). Calculate the least common multiple of 25 and (0 + -10)/(d/(-9)).
75
Let c(i) = i**2 + 4*i - 27. Let x be c(-7). What is the least common multiple of 18 and 123 - (-4)/(-8)*x?
126
Let f(x) = 2*x**3 - 5*x**2 - 8*x + 7. Let z be f(5). Suppose 19 = 3*y - z. What is the lowest common multiple of y and (-1)/(6/(-60)) + -4?
222
Let m be 0 - ((-2991950)/244 - 2). Let g = -12264 + m. Find the common denominator of g and (-147)/(-10) - (5 - -2).
610
Let g(o) = -170*o**3 - 6*o**2 - 4*o - 3. Let n be g(-6). Let j = -1460913/40 + n. Let r = -2/9555 - 379007/38220. What is the common denominator of r and j?
120
Let y(o) = -o**2 - 13*o - 37. What is the smallest common multiple of y(-6) and 3/24 + (-8162)/(-112)?
365
Let a = -259904/285 - -319519249/349410. Let g = 5/2 - a. Let z = -31215/4904 + g. Calculate the common denominator of 91/6 and z.
24
Let w = 518/39 - -6319/273. Let a be -1 + (-4157)/(-112) + 1. Let c = a - w. What is the common denominator of 31/96 and c?
96
Calculate the common denominator of (-404)/10*(-2240)/(-245504) and 87/4.
548
Let j = 197 - 109. Let t be (j/(-16))/(2/4). Calculate the common denominator of t + 8 - (-181)/12 and 11/6.
12
Let g be ((-1)/(-69))/((-28)/8 - -4). Let w = g - -8309/1380. Let k = 6/5 + w. Calculate the common denominator of -41/14 and k.
28
Let m(v) = 6*v - 11*v**2 + 10 - 6*v + 9*v. Let r be m(-5). Let g = 4353/14 + r. Find the common denominator of g and -131/18.
126
Suppose -10*t = -15*t - 4*d + 1664, -1348 = -4*t + d. Calculate the lowest common multiple of t and 24.
336
Suppose 0 = -z - o + 4, -3*z + 15 = -z - 5*o. Suppose -2*b - 4 = -20. What is the least common multiple of z + 67 + 8 + -6 and b?
296
Let q = 8845 - 8042. What is the least common multiple of 121 and q?
8833
Let t = 277 + -226. Suppose -5*l - r - r + t = 0, r = -2*l + 21. Calculate the least common multiple of 19 and l.
171
Let a(c) = -5*c + 14. Let q be a(6). Let v = -41887/22 + 1905. Find the common denominator of 174/q*6/(-18) and v.
88
Let z be (4/2 - -63145)*(22 - (-3431680)/(-155988)). Let v = -4399241/2476 - -7107/4. Let x = v + z. Calculate the common denominator of x and 77/26.
78
Let t = 104158/8696709 - 4/17019. What is the common denominator of -58/219 and t?
1533
Find the common denominator of (-11 - 2754/(-315)) + 4 and 16/11.
385
Let p be 88/33*(-9)/(-2). Let k(n) = 7*n + 6*n - p*n. Calculate the least common multiple of 7 and k(4).
28
Suppose 0 = 9*p + 3*p + 144. Let l be p/(-2)*(-9)/3. Calculate the common denominator of -74/3 and (-19)/(-54) + l/(-12).
27
Let f(i) = i**2 - 25*i - 61. Let d be f(13). What is the least common multiple of (372/d)/(-2 - 120/(-63)) and 9?
18
Suppose -4*m = 2*y - 9 - 13, 5*y + 12*m - 61 = 0. Let z = -1 + 18. Calculate the lowest common multiple of z and y.
85
Let w = 23553785/168 - 140202. Find the common denominator of w and 187/840.
840
Let j(u) = -u**3 - 26*u**2 + 22*u - 81. What is the lowest common multiple of j(-27) and 678?
6102
Let c be (-24709)/37086 + 77/21 + -3. Let i = 488479/445032 - c. Calculate the common denominator of -25/54 and i.
216
Let h(i) = -i**2 - 6*i + 3. Let y be h(-9). What is the common denominator of (-3 - -4) + 5/(10/39) and ((-4)/y)/((-2)/(-124))?
6
Suppose -4*u - 43 = -55. Suppose -n = 5*t + 164, -t - u*n = -3*t - 69. Find the common denominator of 1196/(-440) - (-6)/t and 8/7.
70
Let v(n) = -379*n - 146. Calculate the least common multiple of v(-2) and 20.
3060
Let m = -250867136/21 - -11938999. Let c = -14107/2 - m. Find the common denominator of c and -57/49.
294
Let f(c) = 2*c**2 + 352*c + 2112. What is the lowest common multiple of f(-6) and 236?
4248
Let j = -2178/61 + 216799/5978. Let f = -3397/5250 + -59/125. What is the common denominator of f and j?
294
Let t be (-39)/((-440)/(-144) + -3). Let d = t + 712. Calculate the least common multiple of 60 and d.
60
Let k = -282 - -292. Suppose -2*s + 50 = 4*z, 14*z - k*z - 5*s - 15 = 0. Let a = 4 + 0. Calculate the smallest common multiple of a and z.
20
Let y be 56672/(-98) + 8/28. Let r = y - -592. What is the lowest common multiple of r and 20?
140
Suppose 397 = -10*p + 2467. Let k(z) = z**3 + 3*z**2 - z - 3. What is the least common multiple of p and k(-2)?
207
Let r = 31951/1224 + -444/17. What is the common denominator of -55/108 and r?
216
Let s = 24724 + -24704. Calculate the smallest common multiple of 115 and s.
460
Calculate the common denominator of (0 + -3)/(-15) + (-19096)/66880 and -74/171.
1368
Let z(h) = 4*h - 7. Let p be z(3). Suppose -2*y + 31 = p*k, -2*y + 3 = k - 0*y. Suppose -18*j = -5*j - 104. Calculate the lowest common multiple of k and j.
56
Calculate the common denominator of (53/66)/(110/(-110)) and 169/180.
1980
Let a = -30040834/1925 + 78028/5. What is the common denominator of a and 69/1750?
19250
Let h(q) = -133*q + 1801. Suppose 3*o + 3*f = 2*f + 106, -f + 142 = 4*o. What is the smallest common multiple of h(13) and o?
72
Let f = 232 + -227. Suppose 4*w = 3*d, -1 = -5*d + d + f*w. Calculate the lowest common multiple of d and ((-11)/3 - -3)*-9.
12
Let r = 4746/19 + -112859/456. Find the common denominator of r and -91/1242.
4968
Suppose -30*i - 153 = -27*i. Find the common denominator of ((-11)/28)/(i/24 + 2) and -21/10.
70
Let s = -25 - -30. Suppose -w - 20 = -4*x + 62, -3*w = s*x - 111. Calculate the least common multiple of x and 132.
924
Suppose 17*y - 5168 = -2*s + 13*y, 0 = s - 4*y - 2572. Calculate the lowest common multiple of 5805 and s.
23220
Suppose 2*h - 5*l - 32 = 193, 4*h + 3*l = 385. Find the common denominator of (6/(-8))/(132/(-152)) and 3/(-5) + 1185/h.
44
Let g = 180 + -178. Suppose 0 = g*n - m - 16, -11 = 4*n + 5*m - 29. What is the lowest common multiple of n and 11?
77
Let y(d) = -3*d**2 + 23*d - 27. Let f be y(6). Calculate the lowest common multiple of 42 and 166/f + 100/(-75).
378
