0 and (-463)/(-1852) - (-11)/(-58).
580
Let u = -12986 + 363669/28. Find the common denominator of u and 23/748.
5236
Calculate the common denominator of 2*2 - ((-22020)/432 + 58) and 69/5036.
45324
Let h = -2107533 + 16274369909/7722. Find the common denominator of h and -53/12.
15444
What is the lowest common multiple of (58*7*6/30)/(13/65) and 174?
1218
Let d(s) = s**2 - 5*s + 9. Let y be d(-4). Suppose -w + 2 = -z + 3, -5*z + y = 5*w. Suppose 0 = -w*u + 39 + 1. Calculate the lowest common multiple of 9 and u.
90
Let p be (87 - 19)*5718/(-8). Let q = 4763211/98 + p. Calculate the common denominator of q and -21/4.
196
What is the common denominator of (-90)/60 + (84/(-96))/((-2)/28) and -43/239?
956
Let v be (-5)/(5/(-2)) - 2. Suppose v = 2*r + 2*r - 88. Let o = 95168 - 95146. What is the lowest common multiple of r and o?
22
Let n = -14537/8 + 1825. Suppose 0 = y + 3*g + 12, -4*y = -4*g. Calculate the common denominator of -106*(y/(-16))/(-3) and n.
8
Let q = -116225/29637333 + 1/86913. Calculate the common denominator of q and 97/10.
10230
Let o be (-5)/(-20)*1 - (-2187)/(-9228). Let i = -68321/9228 - o. Calculate the common denominator of i and 65/166.
996
Let m = -1921/1401 - -4618319/3337182. Calculate the common denominator of 58/3 and m.
7146
Let j = 21158 - 423281/20. Find the common denominator of j and -97/732.
3660
Let z be 1/(-7) + 512/7. Let v = 91 - z. Suppose -14*w + v*w - 32 = 0. Calculate the smallest common multiple of 10 and w.
40
Let o = -31678013/75206010 + 1/227897. What is the common denominator of o and 70/33?
330
Let u be (-6912)/(-84) - (-6)/(-21). Suppose 18*j - u = 80. Let c(h) = h**3 - 7*h**2 + h + 3. What is the smallest common multiple of j and c(7)?
90
Let n(x) = 1. Let z(k) = 26*k - 234. Let h(j) = 104*n(j) + z(j). What is the lowest common multiple of 7 and h(6)?
182
Let t = -151643 - -67329545/444. What is the common denominator of 60/259 and t?
3108
Let z = -69 - -6. Let f = 5282 - 63281/12. What is the common denominator of 18/z - (123/(-112) - -1) and f?
48
Let a(i) = i**2 + 432*i + 6691. Let q = 34 + -6. Calculate the least common multiple of q and a(-16).
140
Let j = 209 - 367. Let t = j + 159. Calculate the smallest common multiple of t and 71.
71
Suppose 26 = -u + 45. Suppose u = w - c, 2*w - 59 = -w + 5*c. What is the common denominator of 127/12 and (-417)/(-54) - ((-50)/w - -3)?
12
Let l = 4216/11 + -102625/264. Calculate the common denominator of 97/22 and l.
264
Let n be 2 + (25 - -3) + -6. What is the least common multiple of 4 and n/((-5 - -2)/(-9))?
72
Suppose -5*m = -5*j - 140, 0*m - 90 = 3*j - 5*m. Suppose -10824*p + 10841*p - 1241 = 0. Let q = p + j. What is the lowest common multiple of q and 20?
240
Let s(b) = -b**3 - 77*b**2 + 159*b + 83. Calculate the lowest common multiple of 988 and s(-79).
988
Let g = -1631 - -1939. What is the smallest common multiple of 16 and g?
1232
Let i = 5 - -1. Let c = 12582 + -12411. What is the least common multiple of i and c?
342
Calculate the lowest common multiple of ((-2368)/400 - -6) + 3/(225/669) and 985.
8865
Suppose -3*g + l - 2130 = 3835, 5*g + 4*l + 9970 = 0. Let j = 528735 + -5307217/10. Let s = g - j. Calculate the common denominator of s and -49/11.
110
Suppose 13 = 3*l - 8. Let k be (-18948)/l - (-4)/(-28). Let d = 18901/7 + k. What is the common denominator of d and 27/2?
14
Suppose -134*i + 1607 + 1433 = -39*i. Calculate the lowest common multiple of 1016 and i.
4064
Let s(v) = v**3 - 5*v**2 + 2*v + 2. Let h be s(4). Let r be h/(-4)*840/63. Suppose -3*l = -l - r. Calculate the smallest common multiple of l and 2.
10
Let z(r) = -24*r + 1146. Suppose 2*o - 432 = -104. Calculate the least common multiple of o and z(47).
1476
Let k = -725828/9 + 2518622269/31230. What is the common denominator of -59/3470 and k?
3470
Let u = 45 + -42. Suppose 5*s + 1 = u*m - 3, -s - 8 = -3*m. Find the common denominator of -10/7 and 590/90 - (0 - (0 - s)).
63
Let o(p) = p. Let l be o(-9). Calculate the common denominator of 73/4 and ((l/42)/3)/(110/(-1070)).
308
Suppose -3*b - 3*p + 642 = 0, 3*p - 56 = -b + 160. What is the least common multiple of 36 and b?
2556
Suppose -4*x + 8*x = 328. Let t = x + -92. Calculate the lowest common multiple of -2*(95/t - 2) and 4.
92
Let i = 28 - -149. Let h = i + -163. Calculate the smallest common multiple of h and 18.
126
Suppose -3*x - 46 = 20 - 234. What is the lowest common multiple of x and (-1)/4 - (-533)/4?
1064
What is the common denominator of (1/2344)/(1351/(-4095) - (-30)/100) and 46/9?
73836
Let a = -7559/18480 - 27/385. What is the common denominator of a and 49/212?
2544
Let r(q) = 11*q**2 - 95*q + 93. Calculate the smallest common multiple of 6252 and r(1).
18756
Calculate the common denominator of -87/10 and ((-151)/(-32))/((-70)/28) + 3.
80
Let k = -5229306625756799/33882 + 154338782431. Let p = k - -2/16941. Calculate the common denominator of -139/48 and p.
48
Let o = -12 - -30. Let m = -6197 + 6203. Calculate the least common multiple of m and o.
18
Let b be 92/414 - (178/9)/(-1). Suppose -4*d + 4 = 5*a, -5*a + 4 = -d - b. Calculate the common denominator of 54/a*(-5 + (-296)/(-60)) and -19.
10
Let d be (1112/(-16))/((-4)/(-8)). Calculate the common denominator of 3/2 and (d/(-240))/((-4)/(-10)).
96
Let t = 9812/9 - 1093. Suppose 0 = -9*s + 13*s - 32. Calculate the common denominator of t and 9/s*-14 - -2.
36
Let i be 44*(39995/14 - 2). Let x = -125864 + i. Let n = 28503/112 + x. Calculate the common denominator of -56/3 and n.
48
Suppose -12*m = -s - 14*m + 166, 3*s + 4*m = 496. What is the least common multiple of 5 and s?
820
Suppose 139*s - 132*s + 945 = 0. Let z = 175 + s. What is the lowest common multiple of z and 6?
120
Find the common denominator of -39/1070 and (6/6)/(1*28/54).
7490
What is the common denominator of -29/56 and ((-4)/110)/(-12 - (-15576)/1290)?
616
Let r(m) = -2*m - 15. Let u be r(-8). Let d be u - ((-16)/108)/((-21)/153). Let g = 1051/252 - d. What is the common denominator of g and 32/5?
20
Let m = -713151/119 - -5993. Let b = -65599 - -4132652/63. Calculate the common denominator of m and b.
1071
Let v be 227*5/(-1105) - -1. Let d = v + 12645/1768. Find the common denominator of ((-33)/10)/((-39)/(-91)) and d.
40
Suppose 13*o - 12*o + 25 = 5*i, i + 2*o - 5 = 0. What is the least common multiple of 470 and i/2*(3 - (-18)/10)?
2820
Let o = -126/43 - -80339/27520. What is the common denominator of o and 149/768?
3840
Let w = -2 + 5. Suppose -3*f - 3 = w. Find the common denominator of 137/24 and (-196)/(-924)*2/(f/5).
264
Suppose -m - 3 + 6 = 0. Suppose -m*q + 5*q = 12. Let u(d) = -d**2 - 4*d + 11. Calculate the smallest common multiple of u(-5) and q.
6
Let g = -11763 - -258879/22. Let d = -650 + 621. Find the common denominator of g and (2/(-7 + d))/((-6)/(-423)).
132
Let s = 36459 - 1646053/45. Let b = s - -1100/9. Find the common denominator of -58/25 and b.
75
Suppose 0 = 185*m - 224*m - 87*m + 28854. What is the smallest common multiple of m and 9?
2061
Let m(f) = 2*f**2 + 5*f - 1. Let b be m(7). Find the common denominator of ((-2)/(-15))/(b/1860) and ((-33)/90 - -3)/((-20)/40).
165
Let r be ((-4)/2)/(-4 - 126/(-35)). Let j be (-2*1/r)/((-11)/(-275)). Let p = j - -24. What is the lowest common multiple of 20 and p?
140
Suppose 0 = -4*q + 2*n + 7586, q - 1910 = 51*n - 55*n. What is the least common multiple of q and 2044?
26572
Suppose 6*b - 4*b - 92 = -4*q, 67 = 2*b - q. Suppose -5*a = -125*p + 118*p + 755, 5*p - 3*a - 549 = 0. What is the lowest common multiple of p and b?
360
Let h be ((-28)/16)/(-4 - (-2372)/592). Let c = 287 + h. Calculate the lowest common multiple of 9 and c.
252
Suppose -3*f + 2*u + 54 = 0, 14*f - 5*u = 11*f + 45. Calculate the least common multiple of 92/230 - 498/f*-4 and 16.
400
Let t = -1831161/20672 - -1683/19. Calculate the common denominator of -61/176 and t.
11968
Let c be ((-5)/(-2))/(10/8) + 9. Suppose 6*r + c = 107. Let j(i) = -2*i - 2. What is the smallest common multiple of j(-5) and r?
16
Let v be 6/(-45) - (528/90 + -2). Let o = 31417/36 + -872. Find the common denominator of v/3 - (-13032)/8640 and o.
360
Let v = 237461/48 + -4947. What is the common denominator of v and 27/40?
240
Find the common denominator of (28/98)/((-177