
3850
Let q be 22152/30 + 2 + -2. Let h = q + -731. Find the common denominator of h and -43/4.
20
Suppose -3*h + 20 = 5, -3*w - 4*h + 17 = 0. Let t be 15*1/(-1)*w. What is the common denominator of 6/t - 589/60 and 73/3?
12
Let l = -6063961/84 - -72192. Find the common denominator of l and -47/264.
1848
Let t(p) = p + 1. Let z(i) = 9*i + 59. Let n be z(-7). Let c(u) = u**2 + 5*u + 4. Let a(h) = n*t(h) - c(h). What is the smallest common multiple of a(-7) and 7?
42
What is the common denominator of 21/50 and 412/(-16480)*34/(-4)?
400
Suppose -4*f + 241 = 41. Suppose 2*b = 4*u - f, 4*u = -5*b + 2*b + 25. Suppose u*q = 12 + 108. What is the lowest common multiple of q and 33?
132
Suppose -60 = 4*q, 87*k - 150 = 84*k - 4*q. Let u = 126 - 26. Calculate the smallest common multiple of k and u.
700
Let z = 77775 + -24888027/320. Calculate the common denominator of z and 15/424.
16960
Let g = 567568/391 + -25212/17. Let k = -59735/1932 - g. Find the common denominator of k and 19/10.
420
Suppose 0 = -29*h + 29319 + 12035. Let d = -3/38 - -86/247. Find the common denominator of d and h/224 - ((-486)/42 + 12).
208
Suppose 3*n - 5*b - 331 = n, -3*n - 3*b + 507 = 0. Let a = 49865 + -49795. What is the smallest common multiple of a and n?
840
Suppose -4*f - 11 = -31, 0 = 2*t - 2*f + 186. What is the common denominator of ((-3)/6)/((-732)/t) and -22/5?
915
Let o(s) = -s**2 - 15*s - 29. Suppose -5*q = 3*l - 115, -3*q - 2*q + 10 = 0. Calculate the least common multiple of l and o(-10).
105
Let w = -11/885 + -663541/16815. Let x = w - -16499/456. Find the common denominator of x and 1616/(-240)*(-8)/(-16).
120
Suppose -5*m + 4*m = -5. Suppose m*f + q = 100, -3*f - 4*q = f - 80. Let w = 1983425/4 - 495853. Find the common denominator of f and w.
4
Let x(n) = 7 + n - 2*n - n**2 + 0*n - 3*n. Suppose 5*c - 27 = 14*c. What is the smallest common multiple of 46 and x(c)?
230
Let t(m) = -m**2 - 15*m + 678. Let x(j) = 4*j. Calculate the smallest common multiple of x(8) and t(19).
32
Let t(w) = w**2 - 6. Suppose 57*i = 140*i - 17*i - 660. Calculate the lowest common multiple of t(6) and i.
30
Let c(y) = -79 + 79*y + 29 - 70*y. Let u be c(5). Find the common denominator of (-59)/2 - (-10)/u and 47/62.
62
Let m be ((-29)/(-174))/((-19)/3). Let j = -89/228 + m. Calculate the common denominator of j and 145/88 + 4 + -6.
264
Let t = -443 + 443. Suppose -5*y - 2*v - 242 + 1091 = t, 15 = -5*v. Calculate the least common multiple of y and 27.
513
Suppose 3*f - 36 = 5*d, 2*f - 25 = 3*d - 0*d. Let l = 19 - f. Suppose l*r - 3*p - 8 = 0, 22 = 3*r + 2*p - 4*p. Calculate the least common multiple of 3 and r.
30
Let y = -31831 + 31849. What is the smallest common multiple of y and 35?
630
Let h be 3/(-3) + (2 - -2). Let a = -518425/28 - -18518. What is the common denominator of (35/90 - h) + -1 and a?
252
Calculate the common denominator of 6/(-21) - (-5)/(-875)*-267 and 49/(-175)*4/(-1 - -5).
25
Suppose -73 = -4*j - 3*u, 2*u = -17*j + 20*j - 42. Find the common denominator of -63/10 and (-462)/2130 + j/40.
710
Let y be -1 + (-66)/54 + (-4)/(-18). Calculate the common denominator of y/(-15)*2850/(-255) and 27/11.
561
Let b = 40748723/69430 - 31101/53. Find the common denominator of 87/40 and b.
5240
Let r be -2 + 17 + (4 - 4). Let t be 12/16 - 29817/r. Let x = 1985 + t. Find the common denominator of -5/4 and x.
20
Let t = 4586 + -288908/63. What is the common denominator of t and 1578/2630*(1095/(-27))/1?
63
Let n(b) = b + 127. Let f be n(-13). Suppose -3*t + f = -0*t. Calculate the common denominator of (-53)/(-10) - 2/4 and t.
5
Suppose 0 = 24*n + 4035 + 1533. Find the common denominator of (-2)/(-14)*(-609)/n and -137/48.
48
Let c(y) = -6*y - 272. Let q be c(-45). What is the common denominator of 2067/(-1722) - q - 1 and -61/18?
5166
Suppose -631 = -6*x + 1061. Suppose -2*w - 4*w - x = 0. Let n = -39 - w. What is the lowest common multiple of 4 and n?
8
Suppose -2*r - p = -168, 3*p = -5*r + 2*p + 426. Calculate the lowest common multiple of 20 and r.
860
Suppose 119*u - 114*u - 3*w - 489 = 0, -w + 285 = 3*u. Find the common denominator of -2 + (-150)/4 + 0 and (1208/u - 2)/1.
12
Suppose -21*p + 22*p - 3*i - 176 = 0, -3*i = 0. What is the least common multiple of p and 592?
6512
Find the common denominator of 59/956 and 20/(-1 - -6) - (-203)/(-24).
5736
Let k = -39 + 41. Suppose k*c - c - 30 = 0. Suppose y - 2*z = 5*y - c, 20 = 2*y + 2*z. What is the smallest common multiple of 37 and y?
185
Let g be (-10)/(-2)*(-7)/(14/52). Let c = g - -169. What is the least common multiple of c and 30?
390
Find the common denominator of -80/567 and 10575/(-319788)*(-10)/(-6).
2268
Find the common denominator of (-1600388)/(-168116) + (-19)/2 and 48/5.
7930
Let d = -77/190 + 148/1045. Let m = -11179/2580 + 569/86. Calculate the common denominator of d and m.
660
Suppose 10*l = -118 + 558. Let v = -924 + 976. Calculate the lowest common multiple of v and l.
572
Find the common denominator of (-36)/42 - 2950/(-1155) and 26/5613.
61743
Let a = 5043 - 211885/42. Find the common denominator of 115/1218 and a.
1218
Let g(i) = 142*i + 170. Calculate the least common multiple of 1995 and g(-1).
7980
Find the common denominator of 145/36 and 1*(-1 - -8) + 304875/(-45900).
612
Let x = -2/198779 + 15309743/373704520. What is the common denominator of 11/40 and x?
1880
Suppose 3*o + 2*j + 44 = 212, -4*j - 144 = -2*o. What is the smallest common multiple of 2196 and o?
10980
Let d = -32 + 157. Suppose 0 = -4*n - 5*u + d, -2*u + 8 = 14. What is the smallest common multiple of n and 75?
525
Suppose -87*x + 86*x - 72 = 0. Calculate the common denominator of 448/16*(57/x - -1) and (-2)/(-4)*76/(-42).
42
Let r = -36437 - -874367/24. Calculate the common denominator of -11/32 and r.
96
Let p be -15 + 15 - (2975/258 - 0). Let q = 23/2 + p. Let b = q - -7103/258. Calculate the common denominator of -21/8 and b.
8
Find the common denominator of 2/4 + -4 + (-2472)/(-900) and 64/175.
1050
Let s be 3/399*(-1064924145)/60. Let j = s + 133449. Find the common denominator of j and 79/18.
4788
Let f = 50 - 29. Let u = -36 - -39. Suppose -u*p = 164 - 182. Calculate the smallest common multiple of f and p.
42
Suppose -17*f - 155 = 865. Calculate the common denominator of 28/199 and ((-402)/(-15))/(f/(-25)).
1194
Let t = -20489 + 22365. Calculate the least common multiple of t and 3.
5628
Let t = -2904810070 - -50293881570037/17314. Let w = -2/787 - t. What is the common denominator of ((-69)/(-6)*2)/(-8) and w?
88
Suppose -2*o = o + 5*b + 49, 0 = 5*o + 4*b + 60. What is the common denominator of 101/18 and o/(-100)*95 + (-2 - -5)?
90
Suppose -3*a + 269 = -n, 0*a - 98 = -a + 2*n. Let r = a + -80. What is the least common multiple of 2 and r?
8
Let o = 136 - 2012/15. Let n = 1438355/36 + -39957. Find the common denominator of o and n.
180
Suppose -5*z = -h - 709 - 901, -z = -5*h - 346. Suppose z - 1767 = l. Calculate the common denominator of -13 and l/(-1092) + (-2)/7.
26
Let t be ((-5)/(-2) + -2)*(-4)/2437. Let d = t - 168133/24370. Find the common denominator of 646/44 + 36/(-198) and d.
10
Let f = 133/20 - 371/20. Calculate the common denominator of f and ((-9)/(-2))/((3474/(-57))/1).
3860
Let t = 395709/28 + -14134. Calculate the common denominator of (63/10 - -3) + 0 and t.
140
Suppose -25*s + 29*s + 4 = 0. Let d = s + -24. Let q = -529/18 - d. Find the common denominator of 41/16 and q.
144
Let q = 345/17 + -7585/357. What is the common denominator of q and ((-121)/(-7))/(-1*(-90)/21)?
210
Find the common denominator of 73/1008 and (-6308)/(-1584) - (-3 + 8 + -1).
11088
Let v(k) = k**2 + 9*k + 32. Let o(m) = -m**2 - 4*m + 70. Let s be o(-11). Calculate the least common multiple of v(s) and 36.
36
Find the common denominator of (-15 - -15) + 43/(-109) and (20/15)/(133/513).
763
Let d = 270656 + -581369159/2148. Find the common denominator of d and 25/6444.
6444
Let c = 2/13329 - -3238933/93303. Let n = -3694/105 + c. Let b = -1589 - -14351/9. Find the common denominator of n and b.
45
Let z = -3013/45 - -312/5. What is the common denominator of -67/85 and z?
765
Let a = -155297/16017864 - -6/7499. What is the common denominator of a and -50/267?
2136
Suppose -5*k - 5*l = -0*l + 39940, -2*l + 31970 = -4*k. Let a = -