364
Calculate the common denominator of -82/15 and (-8)/(-1448)*(-48)/60.
2715
Let z = 514301/72 - 974590829/136584. Let i = 1/20157 - 161527/5462547. Let a = z + i. Find the common denominator of a and -28/9.
63
Suppose 47*u = 49*u + 360. Let b be u/(-27) - 4/6. What is the common denominator of 73/36 and 44/b*27/16?
72
Let a(c) = -c**2 + 9*c. Let d be a(9). Suppose -5 + d = w. Find the common denominator of w + 8 - 218/28 and -25/8.
56
Suppose 3*x - 4 - 3 = 11. Calculate the least common multiple of x and ((-5)/(-2) + -1)*28.
42
Suppose -k + 5*f + 11 = 0, -2*k - 9 = -4*k - 3*f. What is the smallest common multiple of ((-4)/6)/((-8)/576) and k?
48
Let g(y) = -4*y**2 - 119*y + 63. What is the smallest common multiple of 150 and g(-27)?
1800
Let q be (-40)/(-32)*11019/20. Let c = 688 - q. What is the common denominator of c and (927/84)/((-306)/(-119))?
48
Suppose 7122 = 3*k + 2*t, -27 = t - 33. Calculate the smallest common multiple of k and 711.
7110
What is the common denominator of -85/26 and (13/1014)/(-52*(-2)/(-8022)) + 1?
1352
Suppose -5*i = -92*a + 89*a - 56, -6*i = 5*a - 136. Suppose 139 = -5*w + 439. Calculate the smallest common multiple of i and w.
240
Suppose 3*x + 235 - 1714 = -2*k, 5*x - 2219 = -3*k. What is the smallest common multiple of k and 2?
738
Suppose 4*j + 28 - 44 = 0. Let o(r) = -11*r - 5. Let n be o(-10). Suppose j*c = n - 25. Calculate the least common multiple of 6 and c.
60
Find the common denominator of 79/2878 and (-12)/10*55/(-10).
14390
Let u = 3733/4 - 927. What is the common denominator of (14/8)/(5/7) and u?
20
Let s = 837 + -825. Suppose -5*v + 7 = -8. Suppose 6*b - 63 = v*b. What is the smallest common multiple of b and s?
84
Let z(k) = 11*k**2 + k + 2. Calculate the smallest common multiple of z(-2) and (9 - (-133)/57)/((-1)/(-12)).
1496
Let q = -1891/17 + 590927/5304. What is the common denominator of q and 181/600?
7800
Let o be (-64)/(-10)*1 + 16/(-40). Let d be (-1611)/o*(-38)/18. Let j = -570 + d. Find the common denominator of 31 and j.
6
Suppose 5*d + 3*a - 421 = 233, 0 = -2*d + 5*a + 274. Calculate the lowest common multiple of d and 242.
1452
Let g be -2 - ((-1936)/14)/(-4). Let c = g + 11254/315. Calculate the common denominator of (10/(60/18))/((-63)/224) and c.
45
Calculate the least common multiple of 198 and 8/(-96)*8*18 - -36.
792
Let r(p) = 5*p**2 + 12*p + 1. Let y be r(-3). What is the common denominator of ((-122)/24 - -5)/(y/(-4)) and -83/40?
120
Find the common denominator of 35/(-17556)*(-404)/(-30) and 65/1539.
33858
Suppose -5*s + 7*s + 10 = 0. Calculate the common denominator of (-24)/(-20)*50/(-21) - -3 and 2/s - 172/(-30).
21
Suppose -36*a = -35*a - 83. Let z = a + -17. What is the smallest common multiple of z and 4?
132
Let z = 1004351/42 - 23912. What is the common denominator of z and 73/1596?
1596
Let r = -290722/67 - -4339. Let q = r - -2363/134. What is the common denominator of -33/109 and q?
218
Suppose 4*q - 268 = -2*y, -2*q = 5*y - 2*y - 142. Let u(v) = -v**2 + 6*v + 7. What is the smallest common multiple of 3/36*2 + q/6 and u(6)?
77
Suppose -6*j - 396 = -1896. Suppose -j = -6*a - 34. What is the least common multiple of 3 and a?
36
Let w(t) = -t**3 + 12*t**2 - 5*t + 61. Let a be (1 + 0)/((-1)/(-2)). Suppose a*b + 9 = 3*b. What is the lowest common multiple of b and w(12)?
9
Suppose 0 = -6*w + w - f + 486, 2*f = -w + 90. Let u = -290/3 + w. What is the common denominator of u and 85/42?
42
Suppose -4*v - 2*j + 11 + 117 = 0, -3*v + j = -101. Calculate the smallest common multiple of v and 351.
3861
Let a be (10480 - 3)/(-2 + 3 + -2). Let d be (-1132125)/108 + (-5 + -1)/(-24). Let q = d - a. Find the common denominator of -37/27 and q.
54
Let b(u) = -2*u**2. Suppose 5*o + 0*o - 5 = 0. Let j be b(o). What is the lowest common multiple of (-28)/(-20) + (12/(-5) - j) and 11?
11
Let o = 150445/264 - 6214/11. Find the common denominator of -137/24 and o.
24
Suppose 0 = -30*s - s + 93. Suppose 2*w = s*r + 131, -2*w + 2*r = r - 137. What is the lowest common multiple of w and 28?
140
Calculate the smallest common multiple of (-647)/(-1) - (-5 + (-16 - -12)) and 328.
656
Let y = 4771/24 - 599/3. What is the common denominator of y and -85/808?
808
Let o(f) = f**2 + 25*f + 153. What is the lowest common multiple of o(-15) and 1350?
1350
Let n(t) = -t**3 + 4*t**2 + 33*t - 11. Let s be n(-11). Let z = s - 12988/9. Find the common denominator of -6/109 and z.
981
Suppose -c - s + 119 = 0, -s - 203 = -3*c + 138. Let k(o) = o**2 - o. What is the lowest common multiple of k(5) and c?
460
Suppose 0 = 10*l - 6*l - 240. Find the common denominator of -61/8 and (5/l)/((-15)/78).
120
Let z = 7732/2499 + -386/119. Calculate the common denominator of z and -143/252.
1764
Let g = -840 + 470. Find the common denominator of (17/(-36))/(g/1221) and -103/18.
360
Let z = -1027121 + 6586926946/6413. What is the common denominator of z and -62/4081?
44891
Let r = -5/129 + -1325/946. Find the common denominator of -93/550 and r.
1650
Let n = 9116171/102 + -89373. Let t = 787/6 + -3562/27. Find the common denominator of t and n.
918
Let v be (-102)/(-15) + (42/(-15) - -3). Suppose -2*y = -v*y + 30895. Let t = y + -36955/6. Find the common denominator of t and -49/20.
60
Let f = -8196 - -8296. What is the lowest common multiple of f and 740?
3700
Suppose -8*p - 84 = -12*p. Let f be (-13)/(-24)*p/98. Let n = f + -1355/336. Find the common denominator of n and -12/11.
132
Let u = 8639921/112 + -77143. What is the common denominator of -41/822 and u?
46032
Suppose -5*t + 17844 = -r + 5481, -9894 = -4*t - r. Suppose -6*p = -t - 473. What is the least common multiple of p and 11?
5401
Let v = 1908628511 + -9470614635997/4962. Let g be ((-12)/9)/(7038/(-27) - 15). Let m = v - g. What is the common denominator of m and -35/4?
12
Let m = -240 + 260. Suppose 710 = 5*l + g, 5*l = 3*g + 68 + 642. Calculate the smallest common multiple of l and m.
1420
Calculate the common denominator of (-5)/(35/(-2)) - 235848/1232560 and -137/30.
2130
Let w = -486 + 485. What is the smallest common multiple of -30*(86/(-215) + 1 + w) and 48?
48
Let y = 126 - 148. Calculate the lowest common multiple of (-319)/y - ((-18)/4)/(-9) and 310.
2170
Suppose 199*j + 210 - 1460 = 1934. What is the lowest common multiple of j and 504?
1008
Suppose x - 2*b - 34 = -3*b, 0 = -5*b + 20. Find the common denominator of (1 - 5/4) + (-375)/(-144) and x.
48
Let j(q) = -q**3 + 22*q**2 + 24*q - 11. Let m be j(23). Calculate the least common multiple of (90/(-25))/(m/(-40)) and 12.
12
What is the common denominator of (6/13)/(-3) - (-2396)/41184*-2 and -76/45?
1980
Suppose -4*m = 23 + 5. Let q(y) = -y**3 - 9*y**2 - 16*y - 4. Let w be q(m). Let r(k) = 8*k - 37. Calculate the least common multiple of 6 and r(w).
258
Suppose 10*a - 13*a + 57 = 0. Let q(l) = -l**2 - a*l + 4 + 7 - 3. Calculate the least common multiple of 8 and q(-19).
8
What is the common denominator of ((-2641)/95)/((-156)/(-14)*(-84)/(-30)) and -131/2106?
4212
What is the common denominator of -61/64 and ((-11)/((-78848)/21))/(1/31)?
1024
Let y = -835/612 + 29/204. Find the common denominator of -3/1639 and y.
14751
What is the lowest common multiple of (45 + 365)*(-42)/(-35) and 216?
8856
Let u(r) = -3*r**2 + 3*r + 3. Let g be u(-2). Let v(n) = 2*n**2 + 29*n - 10. Let d be v(g). Find the common denominator of (175/(-40) + d)/(4/14) and -133/6.
48
Let c(y) = -93*y + 22. Calculate the least common multiple of c(0) and (-3)/6 - 74/(-4).
198
Let g be (4/(-3) - -2) + 3892935/(-6020200). Let q = g + -37/1860. Let x = q + -260237/69912. Calculate the common denominator of x and -23/14.
126
Let m(i) = i**3 + 2*i**2 + 4*i - 3. Suppose 6*t + 176 = 416. What is the smallest common multiple of m(5) and t?
960
Let f(s) = s**3 - 2*s**2 - 7*s + 11. Let y = 10 - 5. Calculate the smallest common multiple of 6 and f(y).
102
Let y be (-4)/18 - (-20)/(-72). Let n = 2 + y. Calculate the common denominator of n and (-39)/12 + (-215)/(-344).
8
Let k be 39*6*(-104)/312. Let f = k + 98. Calculate the smallest common multiple of f and 15.
60
Suppose 0 = -6*b - 7 + 31. Calculate the lowest common multiple of 1/((-2)/5 - 1045/(-1925)) and b.
28
Let l(s) = -2*s**2 + 10*s + 36. Let r be (-4 + 102/21)*-7 - -13