What is the common denominator of 27/2010*(-510)/68 and -127/402?
804
What is the common denominator of 2/(-7) - 3351/(-630) and -5 - 10 - 229/(-6)?
30
What is the lowest common multiple of (7/2)/((-436)/(-34008)) and 39?
273
Calculate the smallest common multiple of 960 and (-419336)/(-156) + (-2)/39.
13440
Let i(b) = -b**3 - 13*b**2 - 3. Let q be i(-13). Let r be -4 - 9/(9/q). Calculate the common denominator of (-1 + 7*r)*120/144 and 30/29.
87
Calculate the common denominator of -113/112 and 159/(-265) + (2092/8 + 3)/520.
1456
Let c = -79301/35150 + -59/703. Find the common denominator of 44/475 and c.
950
Let h(k) = 27*k - 240. Let m be h(8). What is the common denominator of (-12)/(-5)*99/m and -10?
10
Let c be -73 - ((-32)/(-4) - 4). Let u be (-3)/7 + (-1330670)/c. What is the common denominator of (-2)/(-13) - u/1716 and -85/2?
12
Calculate the common denominator of 15/45 + (-5 + 13)/(-4) and (4/24)/(9/(-100)).
27
Suppose 0 = -2*v + 4. Suppose -6*b + 22 = -b + a, -v*a - 8 = -3*b. Suppose 19 = -b*g + 43. What is the lowest common multiple of 10 and g?
30
Let x(j) = -31*j - 37. Let v be x(-3). What is the common denominator of 14/v*1*1*34 and -35/81?
162
Find the common denominator of 87/4 and (42/4232)/(2 + 0 - 17/8).
2116
Let z = 307172/2525 + -3042/25. Find the common denominator of z and -9/10.
1010
Let u(j) = j**3 - 2*j**2 + j - 1. Suppose -2*y - 26*r = -38*r + 21*r - 97, 20 = 4*r. Calculate the smallest common multiple of u(3) and y.
286
Let h = -5/79 + 529/7110. Let x = 2207/180 - h. Let w = -4661/946 + 25/86. What is the common denominator of x and w?
44
Suppose -9*q - 5*p = -2989, 60*p = 5*q + 58*p - 1694. Calculate the least common multiple of q and 672.
672
Let u = -51542/4970111 + -1633411752849/1031397434720. Let p = -2/6485 - u. Calculate the common denominator of p and 31/12.
96
Let j(q) = 482*q + 2062. Calculate the least common multiple of 24 and j(-2).
4392
Let q be (-2 - -5)*(-2)/(-3). Suppose a - 50 = -2*m, q*a + 3*a + 2*m - 290 = 0. Calculate the least common multiple of 6 and a/(-18)*(-24)/10.
24
Suppose 2*y - 3*j = -2*j + 9, -y - 3*j = 13. Calculate the common denominator of (-131)/(-36) + 812/1827 and ((-60)/(-64))/(y + -1).
48
Let o(j) = -3*j**3 - 12*j**2 + 6*j + 22. Let w be o(-4). Let g(p) = -13*p**3 - 6*p**2 - 11*p + 3. What is the least common multiple of 40 and g(w)?
840
Let r = 26 + 8. Suppose 3*x - 4*o = 90, -1292*x = -1289*x - o - 72. What is the smallest common multiple of x and r?
374
What is the smallest common multiple of 20 and (-9)/36*2*8 + 100?
480
Let r = -289 - -313. Let f = -280/127 - 11245/1524. What is the common denominator of -2 - (-78)/(-4)*(-20)/r and f?
12
Let j = -22497 - -22523. Suppose 0 = 4*q - 71 - 1. Calculate the lowest common multiple of j and q.
234
Let z = 87479/51470 + 2/5147. Calculate the common denominator of -37/1560 and z.
1560
Suppose 0 = 39*r - 95207 - 68125. Calculate the least common multiple of 10 and r.
20940
Let y = -41817679/714 - -58568. What is the common denominator of y and 5/66?
7854
Let f be ((-420319)/(-23574)*-3)/7. Let z = f - 6/3929. Calculate the common denominator of 55/52 and z.
364
Let f be (-14)/(-25714)*-1837 + 1. Let q = f - 604255/154284. Let c = -628/3 - -3823/18. What is the common denominator of c and q?
36
Suppose 5*q - 275 = 2*i, -5*i + 53 + 2 = q. What is the smallest common multiple of q and (-26 - -1)*(-2)/5?
110
Let b(r) = 622*r + 11632. What is the smallest common multiple of 14 and b(-16)?
1680
Let i(k) = 3*k**2 + 19*k + 11. Let g be i(-5). Find the common denominator of 76/63 and (g + (-234)/(-45))/((-54)/5).
378
Let p(k) = 113*k - 6473. What is the lowest common multiple of 35 and p(89)?
17920
Let m = -4990/33 + 931/6. What is the common denominator of 1377/(-429) - (-8)/(-52) and m?
22
Let u = -248761/132 - -20731/11. Calculate the common denominator of 89/(-192)*(-12)/9 and u.
144
Calculate the smallest common multiple of 15/(-19 - -4)*(-613 + 1) and 32.
4896
Let l(n) = -7*n**2 + 5*n + 2. Calculate the least common multiple of 1552 and l(0).
1552
Suppose 0 = -3*f + 3*w + 8889, -11859 = -4*f - 368*w + 373*w. Calculate the lowest common multiple of f and 4.
2956
Find the common denominator of -97/238 and (-1)/(510/(-525)*-7).
238
Let u = 13 + -7. Suppose 0 = 11*h + 11*h - 220. Calculate the smallest common multiple of 2/(0 + u/27) and h.
90
Suppose -90 = -3*h - 2*h. Let j = h - 3. Suppose -8*t + 280 = 88. Calculate the least common multiple of t and j.
120
Let j be -5*25 + (5 - 8). Let y = 359/2 + -192. Calculate the common denominator of 4/(j/26) - 0 and y.
16
Suppose -13 = -2*m + 4*f + 5, -3*m - 17 = 5*f. Suppose 0 = -7*o + 5*o - 12. What is the smallest common multiple of (99/o)/(m/(-2)) and 15?
165
Let m(j) = j**3 - 12*j**2 + 9*j - 42. Let z(s) = -s**2 - 16*s - 51. Let v be z(-9). Calculate the lowest common multiple of m(v) and 9.
198
Suppose 4*g = 4*n - 376, -24 + 113 = n - 2*g. Let v = 6 - -2. Suppose -101 = v*m + n. Calculate the common denominator of 29/11 and m.
11
Let l(r) = 5*r - 24. Suppose -33*v + 32*v = 0. Suppose v*z - 77 = -11*z. Calculate the least common multiple of l(z) and 9.
99
Let u = 9150 + -8502. What is the smallest common multiple of 342 and u?
12312
Let n(m) = m**3 + 6*m**2 + m + 2. Let q be n(-4). Let f(t) = t**3 - 30*t**2 + 3*t - 68. What is the least common multiple of f(q) and 20?
220
Find the common denominator of -31/28 and ((-6)/54*531)/((2 - 384) + 2).
2660
Let c = 38/121 - 12041/968. What is the common denominator of 13/9848 and c?
9848
Let a be ((-4)/48)/(30/6394806). Let o = -17768 - a. What is the common denominator of o and 14/(-10) - (-4)/(-16)?
20
Suppose -57 = -3*a - 3*l, -2*a + 18 = -6*l + 4*l. Suppose -14*g + 11*g - 507 = 0. Let z = g - -309. Calculate the least common multiple of z and a.
140
Let y be (1*-4)/((-4)/144). Suppose -19*b + y = 5*b. Calculate the lowest common multiple of -3 + (-2 - (2 + -10)) and b.
6
Let m = 99299/140 - 3549/5. Calculate the common denominator of 48/31 and m.
4340
Let y = -1218345/922012 + -1/32929. Find the common denominator of y and -25/2464.
2464
Suppose 30 = 3*v - 4*i, -2*v + 5*i + 19 = 2*i. Suppose v = -3*s + 56. Suppose 45 = 2*z + 1. Calculate the smallest common multiple of z and s.
154
Suppose -15 = -3*s + 2*h, -2*s + 20 = -3*h + 5. Let m(y) = y**3 - 3*y**2 + 2. What is the least common multiple of m(s) and 9?
18
Calculate the lowest common multiple of 104 and ((-16)/(-24))/(9/4212).
312
Let k = 103919/10218 + -6/1703. Suppose 0 = -5*f - 3*a - 27425, -3*f - 15754 = -a + 715. Let c = f - -43973/8. Calculate the common denominator of k and c.
24
Calculate the common denominator of 5396/480 + 312/(-26) and -169/2100.
4200
Let c = 68 + -71. Find the common denominator of 63/4 and (497/84)/(c - (-2)/(-4)).
84
Let k = 12821/2286 - -85/127. Calculate the common denominator of k and 18*((-13)/16 - -1).
72
Let j = 5540 + -5536. Calculate the least common multiple of 122 and j.
244
What is the common denominator of (-538)/(-640) + (-708)/(-2360) and (4/12*1917/6)/(-96)?
64
Suppose 4*f = 3*w - 154, 0 = -3*w - 2*f + f + 164. What is the least common multiple of w and (-12)/(327/(-218)*(-2)/(-3))?
108
Let w = 418 + -431. Suppose 5*h - 167 + 42 = 0. Let r = w + h. Calculate the smallest common multiple of 20 and r.
60
Suppose 5*p = 3*p - 532. Calculate the common denominator of -31/10 and p/40 + ((-36)/(-8))/9.
20
Let n be (-2)/6 - 39*6/(-54). What is the common denominator of -13/3 and 327/n*8/(-156)?
78
Suppose 5*s - 7219 = -1114. Calculate the smallest common multiple of s and 6919.
20757
What is the lowest common multiple of (-16850)/(-8) - (-21)/(-112)*112/84 and 54?
2106
Let g = 38 + -40. Let v be 1719/(-186)*g/12. Let z = -1903/1240 - v. Calculate the common denominator of z and 3/16.
80
Suppose 0 = 4*z + 11 - 23. Suppose 0 = 4*o + l + 51 + 27, 0 = -z*o - 5*l - 67. Let i = 20 + o. Calculate the least common multiple of i and 14.
14
Let s = 238 + -242. What is the common denominator of 650/165 + 1*s/(-12) and 20?
11
What is the least common multiple of 1407 and (-627)/(-30) + (-14)/(-140)?
1407
Let n(g) = -210*g. Let w be n(1). Let i = -298 - w. Find the common denominator of 1 + 1 - ((-306)/i - 1) and 131/12.
132
Let v be 2 + ((-20818)/21 - (-4)/3). Le