g = n + -17092/45. Find the common denominator of 109/20 and g.
180
Suppose 18*u - 23*u - 25 = 5*a, -2*a + 2*u + 6 = 0. Let l(m) = 46*m**2 + 8*m + 7. What is the smallest common multiple of 55 and l(a)?
495
Let i(l) = -l**2 - 2*l + 327. Calculate the smallest common multiple of 129 and i(-15).
5676
Let p = -4/2015 + 4374589/12090. Let l = -359 + p. Let y = 2157/520 + -3/130. Calculate the common denominator of y and l.
24
Let w = -9/334 - -5608/501. Calculate the common denominator of w and 95/4914.
4914
Let w = 4/763 - 28355/23653. Let x be 8 - (8 + 15435/5270). Let u = w - x. What is the common denominator of u and 99/14?
238
Let z = -71695438669/10293 - -6965456. Find the common denominator of z and -10/9.
30879
Let d = -187 - -1059. Let h = 15779/18 - d. Find the common denominator of h and (-1 + 8)*((-632)/128 - -5).
144
Let n be 31522/(-10)*106/8. Let m = n + 41754. Let i = m + 3/20. Calculate the common denominator of 43/11 and i.
22
Suppose -76*m = 59*m - 268920. Calculate the least common multiple of m and 4.
1992
Suppose -2*f + 5*l + 266 + 365 = 0, -586 = -2*f - 4*l. Let w = 10/57 + -221/1368. What is the common denominator of w and 48/256*f/9?
144
Let i = 10931 - 524663/48. Let q be 3 + 3 + -4 + -6613. Let a = q - -59567/9. Find the common denominator of i and a.
144
Let r = -16908 - -2028929/120. Calculate the common denominator of 143/954 and r.
19080
Let v(u) = -5*u - 101. What is the least common multiple of 172 and v(-23)?
1204
Let q = 12/1517 + -126559/81918. Let f be (-1)/8 - (-1154488)/(-2112). Let y = -547 - f. What is the common denominator of q and y?
594
Let v = 7143/7 + -285223/280. Calculate the common denominator of v and -111/320.
320
Let h = -3728989/10 + 372248. Let x = h + 650. What is the common denominator of 91/316 and x?
1580
Let w(j) = j**2 + 5*j + 3. Let o be w(-3). Calculate the least common multiple of 18 + (-5 - 2/(-1)) - o and (-14 + 2)/((-1)/2).
72
Let b = 15575 - 15530. Calculate the least common multiple of b and 5225.
47025
Let i = 194 + -197. Find the common denominator of -9/82 and i/(-12)*472/(-32).
656
Let l be (-3)/(-18) - 607711165/120319686. Let q = l + 312/84613. Let a = q - 2/237. What is the common denominator of a and 74/9?
9
Let l = -748696/103 + 7269. Let h = l + -6047/1648. What is the common denominator of 99/20 and h?
80
Suppose 3*o = 2*s + 80, -8*o + 4*s = -6*o - 40. Suppose -15*k = -o*k + 270. Calculate the lowest common multiple of k and 118.
1062
What is the common denominator of (39/7995)/((-34)/(-4675)) and -3 + 2 + 51/12?
164
Let u = 299/5 - 2299/30. Find the common denominator of (-200)/(-56) + -4 + (-211)/(-84) and u.
12
Let c = 30 - 9. Suppose 14*b - c*b - 49 = 0. Let u(i) = i**2 + 4*i - 13. What is the lowest common multiple of u(b) and 40?
40
Let w = -3759 - -18801/5. What is the common denominator of w and 53/407?
2035
Let z(g) = -305*g**3 + 304*g**3 - 7*g**2 - 5 - g**2 - 12*g. Suppose 0 = 5*o - 10*o + 100. Calculate the least common multiple of o and z(-7).
60
Let d = -153 + -87. Find the common denominator of -412*6/d*-1 and 91/2.
10
Find the common denominator of 3 - (9 - (41121/3156 + -7)) and 51/28.
7364
What is the common denominator of 2408/(-30)*143/1144 + 6/(-45) and 4/(-22)*(-182)/8?
66
Suppose -7*q = -4*q - 30. Let v(y) = -y**2 - 4*y - 3. Let u be v(-3). Calculate the common denominator of (u - (-20)/(-36))*762/(-20) and q.
6
Let v be (-174)/4 - 3/2. Let b be 9*((-203)/(-63) - 3)*3 + -58. Calculate the common denominator of -8/63 and v/(-126)*b/(-6).
63
Calculate the common denominator of 46580/68640 - (32/(-66) + 2/3) and 33/1300.
7800
Let o be 12/(-30) - 213942/(-30). Let p = o - 199569/28. Calculate the common denominator of p and 51/4.
28
Let j be (-7 - -11) + (-3)/1 - -1. Suppose -j*x = -5*a - 0*x + 30, -28 = -2*a + 4*x. What is the least common multiple of 0 - -2 - (-2 + -2) and a?
12
Let i be -2 + 6 + -3 - (-486380)/(-486388). Let b = i - -13010747/8025402. Calculate the common denominator of b and 71/20.
660
Suppose 0*p = -3*p - 3. Suppose 18*w + 18 = 16*w. What is the smallest common multiple of 6/(-4)*p*(-5 - w) and 1?
6
Let i(x) = -x**2 + 4*x + 1. Let k be i(3). Suppose k*w = n - 21 + 1, -4*w + 220 = 5*n. What is the least common multiple of 14 and n?
280
Let y(t) = t**2 + 12*t - 51. Let g be y(-15). Calculate the lowest common multiple of 12 and (4 + g)/(2/(-20)).
60
Let y(g) = 4*g**3 + 4*g**2 + 6*g + 8. Let a be y(6). Let l(o) = a + 9*o - 1032 + 0*o**2 + 3*o**2 - 2*o**2. What is the least common multiple of l(-6) and 22?
22
Let k be (0 - (-2 - -117))/(6/(-16)). Let h = -312 + k. What is the common denominator of 53/21 and h?
21
Find the common denominator of ((-408)/(-90) - (-4)/(-30))*(-10)/(-16) and 1*-2 - 166/(-16).
8
Find the common denominator of (-84)/72 + (15 - -3) and 131/564.
564
Let n = -109247/156 + 18093/26. Let d = 1/826066 + -30151649/198255840. What is the common denominator of d and n?
480
Suppose 3*t = -4*s + 444, -4*t - 12*s + 591 = -7*s. Calculate the least common multiple of t and 138.
3312
Suppose r + 4*y = -12, -y - 55 = -5*r + 2*y. Suppose -69*j + 393 + 435 = 0. What is the least common multiple of j and r?
24
Let h = 49156/11379 + 8658511160/466539. Let s = h - 18563. Calculate the common denominator of s and -59/2.
246
Let c be -2*((-2)/(-10) - 221/5). Calculate the lowest common multiple of (10/4)/(11/c) and 20.
20
Calculate the common denominator of (-2220)/(-624)*120/(-3100) and -26/341.
8866
Let f be (-8 + 82)*2/4. Let r = -20 + f. Let y = 21 - r. Calculate the smallest common multiple of y and 10.
20
Let g be (-527)/(-3)*3/(-200). Let y = 144/25 + g. Let a = 46381/8 - 5809. Find the common denominator of a and y.
8
Let u = 947 + -897. What is the least common multiple of u and (3 + -2)*(2 + 53)?
550
Let b be 3428/40*2 - 6. Let v = b - 5477/30. Find the common denominator of v and -25/74.
222
Let m be (-4)/8*-6 + (-264654)/2040. Let a = 1261/10 + m. What is the common denominator of (-89)/(-8) + 1/4 and a?
136
Let a be (-9)/6*(-48)/9. Suppose 2*h + 30 = a*h. Suppose -5*y + 300 = h*c + 100, 5*y = 2*c - 52. What is the lowest common multiple of 8 and c?
72
Let d = -14708/7 - -985555/469. Find the common denominator of d and -85/6.
402
Suppose -8*m + 42 = -5*m. Let w(q) = -q - 17 + 6 + 3 + 6. What is the lowest common multiple of w(-6) and m?
28
Suppose g - 301*m - 3 = -300*m, -m - 9 = -3*g. Calculate the lowest common multiple of g and 113.
339
Suppose 2*k + 2*m = 0, 0 = 3*k + 4*m - 8*m. Find the common denominator of 19/30 and (-236)/2*(8/768 - k).
240
Let v = -330189 + 679198760/2057. Find the common denominator of -73/1496 and v.
16456
Suppose -2*n - 1443 = -i, -3*i + 0*i + 4329 = 3*n. Calculate the common denominator of -4*(-1)/7 - i/(-378) and (2/(-16))/((-1)/54).
36
Suppose 0 = 20*o - 257 - 6903. What is the lowest common multiple of o and 20?
3580
What is the common denominator of (132/146)/((-2400)/180) and -13/438?
4380
Let m(c) = -2*c + 17. Let a be m(-11). Let q = a + 306. What is the common denominator of 85/2 and q/10 - (-1)/1?
2
Calculate the common denominator of 69/1768 and (-9)/36*75/935.
19448
Let d(k) = 34*k + 97. Let q be d(-8). What is the common denominator of 79/16 and 158/224 - (-25)/q?
16
What is the common denominator of 5/4 and 5705/58716 - -8*13/(-936)?
932
Let p = -149 - -55. Let n = 97 + p. What is the least common multiple of 24 and -1 + 8 - n/6*2?
24
Suppose -p + 2*i + 21 = 3*i, -36 = -p + 4*i. Let c be ((-4)/(-6) - 49/(-84))*p. Calculate the lowest common multiple of 116 and 19/5 - (-6)/c.
116
Calculate the common denominator of ((-21)/(-37))/((90/3)/(-15)) and 49/4.
148
Suppose 3*u = -3*b + u + 29, -4*b + 5*u + 54 = 0. What is the smallest common multiple of 22 and (935/b - 8) + 2/2?
858
What is the common denominator of (1612/39)/(-62) + 682/442 + -1 and 59/117?
1989
Suppose 8*i = 10*i + 6*x - 192, -3*i - 4*x + 323 = 0. Calculate the smallest common multiple of i and 368.
43056
Let s = -1296 - -3148. What is the lowest common multiple of s and 18?
16668
Suppose -2*c = -4*v - 84, -3*c + 6*v = 5*v - 136. What is the least common multiple of c and 280?
6440
Suppose -13*h + 14*h = -85. Let i = -83 - h. Calculate the smallest common multiple of i and 30.
30
Let m = -36/983 + -79047/15728