2?
132
Suppose -7*k = -25 + 11. Suppose 2*u - 47 = -3*o, u - 19 = k*o - 5*o. Calculate the smallest common multiple of 8 and u.
56
Let j = 488189/99 + -4931. Calculate the common denominator of 65/252 and j.
2772
Let a = -4913/4206 + 1/701. What is the common denominator of a and (-6)/(-24) - 263/108?
54
Suppose 2*o + 162 = -2044. Let c = o - -8881/8. What is the common denominator of 4/10 + (-106)/60 and c?
120
Let o = -123 + 61. Let k be (5/75)/(o/7032) - -4. Let h = k + 36/31. Calculate the common denominator of h and -47/19.
95
Suppose -4*d = 2*g + 892, 5*d + 11 = -4. Let f = g - -3088/7. Find the common denominator of (-1)/(9/21 + 72/28) and f.
21
Let y(a) = 23*a**3 + 4*a**2 - 4*a + 3. Let k = -10 + 12. Let i be y(k). Suppose 425 + i = 10*h. Calculate the lowest common multiple of h and 18.
558
Let v(q) = -q**3 + 5*q**2 + 6*q + 8. What is the lowest common multiple of ((-6)/15)/((-3)/75) and v(6)?
40
Let f(p) = 6*p**2 + 6*p - 14. Let w = -51 + 73. Calculate the least common multiple of f(-3) and w.
22
Let p be 1*36/(-4)*2/(-2). What is the least common multiple of (p - 0 - 3)/(2/6) and 3?
18
Let k(u) = 11*u + 39. Let f(j) = 23*j + 78. Let b(z) = 6*f(z) - 13*k(z). What is the least common multiple of 6/(-4)*6/(-9) and b(-8)?
1
Suppose 4*v + 572 = -5*x, 7*x - 8*x - 4*v - 124 = 0. Calculate the least common multiple of 12/(-10) - x/10 - 2 and 4*(9/4 + 0).
72
Let r = -3/2599 - -13007/10396. What is the common denominator of 109/476 and r?
476
Let m = 21742 - 19894. What is the least common multiple of 2772 and m?
5544
Let w(u) = u**2 + 28*u + 181. Calculate the least common multiple of 150 and w(-29).
1050
Let w = 200731/8452 - -1/2113. Calculate the common denominator of w and -19/699.
2796
Let d = -2955839/8876406 + -48/19213. Calculate the common denominator of d and -101/308.
924
Let k = -119643/28 + 4275. Calculate the common denominator of -83/2608 and k.
18256
Calculate the lowest common multiple of 38 and 930 + -70 - (-2 - -8).
16226
Let m(j) = 2*j**2 + 8*j - 26. Let c be m(4). What is the common denominator of c/(-175)*45/(-36) and -3/7?
70
Let c be (-24)/(-42)*1289 + 4/(-7). Let b = -725 + c. Calculate the lowest common multiple of b and 60.
660
Let o = 107/20 + -37/4. Calculate the common denominator of o and -12/197.
1970
Let l(g) = 6*g + 128. Let c be l(-33). Find the common denominator of (135/c)/((-4)/6) and -61/6.
84
Let m be (12/1560)/(2 + (-5)/2). Let r = -1506/715 - m. What is the common denominator of -45/23 and r?
253
Let n(a) = 19*a**2 + 1. Let t = 106 + -101. Suppose -3*s = -j + t, -s + 1 = 2. What is the smallest common multiple of n(1) and j?
20
Suppose 0 = -5*u - 5, 5*q + 5 = -2*u + 38. Suppose -5*n + q = -4*n. Suppose -2*j = -0*j - 2. What is the smallest common multiple of j and n?
7
Let r = -923 + 9313/10. Let f = -30974 + 43394572/1401. Let z = f + -55565/5604. Find the common denominator of r and z.
60
Let q = -15467585/492 - -31438. Calculate the common denominator of 7/492 and q.
492
Let t be ((29457712/20)/4)/(528/(-30)). Let l = -20921 - t. Calculate the common denominator of l and 77/64.
704
Find the common denominator of ((-12)/(-45)*(-35)/2)/(-1 + -2) and -99/2.
18
Let c(w) = 25*w - 198. Let d(b) = 9*b - 66. Let p(r) = -6*c(r) + 17*d(r). What is the lowest common multiple of p(-11) and 30?
330
Suppose -25*k - 1354 = 1446. Let j = -2/3307 - 168613/72754. Calculate the common denominator of j and (2/(-93))/(k/(-938)).
4092
Let x = 6378 - 2980. Calculate the lowest common multiple of 20 and x.
33980
Suppose -3*b - 21*t = -22*t - 303, -2*b + 206 = -2*t. Calculate the common denominator of ((-35)/b)/((-4)/55) and 53/160.
160
Let f = -19004078686381/2309220342 - -1/104964561. Let l = f - -8229. Find the common denominator of l and (-134)/(-2)*(-5 + (-204)/(-40)).
330
Let r(b) = -b**2 - 8*b + 10. Let g(s) = -2*s**2 + 17*s - 26. What is the least common multiple of g(5) and r(-6)?
198
Suppose 13*w + 131 = 12*w. Let s = w - -137. What is the smallest common multiple of s and 68?
204
Suppose 0 = -t - s - 2 + 10, 0 = 2*t + 4*s - 24. Let q be 0 - t - 2/(-3 - -1). What is the common denominator of -127/6 and 1/(-2) - (402/180 + q)?
30
Suppose x = -4, 0*x - 2*x + 378 = -2*g. Let m = 105 + g. What is the common denominator of 17/8 and 24/132 + (-314)/m?
8
What is the common denominator of 12/15*22/(-2200) and 5/(-220)*-12*37/(-3)?
1375
Let c be (39 - -2)/((9 - 17) + 7). Let y = 43 - c. What is the smallest common multiple of y and 48?
336
Let c be 18/(-3) + 7796104/1422944. Let o = 180/839 + c. Find the common denominator of -113/14 and o.
1484
Let r = -10822/56485 + 58/395. Calculate the common denominator of r and 101/650.
7150
Let n = 6364/3 - 50621/24. Let x = 822025 + -569663896/693. Let a = -5/77 + x. Calculate the common denominator of a and n.
72
Let v = -1/2469 + 264205/54318. Let r(o) = 10*o**3 - 3*o**2 - 2*o + 2. Let h be r(-2). What is the common denominator of (h/(-6))/((-70)/(-15)) and v?
154
Let l be (11 - 10)*(85 + -3). Suppose 0 = 9*s + 1 - l. Calculate the least common multiple of 45 and s.
45
Let b = -39 - -127. Suppose -b = -3*w - 8*w. Calculate the common denominator of 85/2 and w.
2
Let r = 292 - 277. Calculate the smallest common multiple of 112 and (-10)/r*-3*(12 - 1).
1232
Let t = -838 + 7555/9. Let f = 54635/145176 + 1/2104. What is the common denominator of f and t?
207
Let x = -3394 - -27187/8. Suppose 12*g - 1937 = 103. What is the common denominator of x and g*(-4)/(-176) + -5?
88
Calculate the common denominator of 27/104 and 5 - 153/156 - 10/(20/6).
104
Suppose -198 = -3*n - 2*l, -271*n + 266*n - 5*l + 330 = 0. What is the lowest common multiple of 6600 and n?
6600
Let t = -33161/27 + 1228. Calculate the common denominator of t and 12 + (150/900)/(1/(-122)).
27
Suppose 0 = -1183*d + 1186*d. Let x = 9 + 2. Suppose d = 2*o - 19 + x. Calculate the least common multiple of o and 19.
76
Let i(j) = -18*j + 29*j - 12*j. Let o be i(-1). Suppose -4*p = o - 33. What is the least common multiple of p and 9?
72
Let y = -164983/5 - -32997. Find the common denominator of y and -17/1860.
1860
Calculate the common denominator of 6/10 - ((-1074)/(-140) - (-4 + 8)) and 61/78.
546
Suppose -d + 63 = -83. Let y = d + 28. What is the lowest common multiple of 24 and y?
696
Let z = -112 - -420. Let d = z + -227. What is the smallest common multiple of 9 and d?
81
Let s = 20 + -10. Suppose -3*c - 18 + 39 = -15. What is the least common multiple of c and (-184)/(-10) - 4/s?
36
Suppose 78*k = 24153 + 30837. Calculate the lowest common multiple of 376 and k.
5640
What is the common denominator of -107/56 and (-128)/(-48) + 337/(-186)?
1736
Let d be (18/(-72))/(2/(-4))*4. Suppose 3*i - w = 12 + 1, 0 = d*i + 4*w + 10. Calculate the least common multiple of i and 71.
213
Suppose 0 = -c + 5*c - 44. Let y(i) = -i + 11. Let d be y(c). What is the common denominator of -2/11 and (d - 2)/(-4 - 53/(-11))?
99
Let g = 280821/20 + -14044. Suppose n - 4*n + 4*f + 5 = 0, 0 = -5*n + f - 3. What is the common denominator of n/5 + (-1 - (-202)/60) and g?
60
Suppose 34*v = 35*v - 27. Calculate the least common multiple of v and 174.
1566
Let z = 14325450/127 + -112800. Let j = z - 6571/2286. Let n = -297 - -854/3. What is the common denominator of j and n?
18
Suppose 6*s - 18 = 12. Suppose -4*o - 1359 = -s*n, -2*o = -2*n + 634 - 90. Suppose 13*c - n = 28. What is the common denominator of c and 33/52?
52
Let c(a) = a**2 + 20*a - 175. Suppose 78*h = 69*h + 882. What is the least common multiple of c(-28) and h?
98
What is the common denominator of -69/82 and (174/798)/((-18)/(-63))?
1558
Let p = 2/7949 + 850487/222572. Find the common denominator of -15/1976 and p.
13832
Let h = -3807 + 46257/7. Let j = h - 2795. Let f = 452/45 + 23/9. What is the common denominator of f and j?
35
Let s = 2495 - 314327/126. Let l = 287649/140 + -20571/10. Calculate the common denominator of l and s.
252
Let n be 4*1*(-4 + (3 - -2)). Let p(l) = -4 - 3 + 17*l - 39*l**2 - n + 40*l**2. Find the common denominator of -67/50 and p(-18).
50
Let o = -49296/626089649 + 712082781362279/624618338324850. Let t = -1/19953 - o. Find the common denominator of -81/14 and t.
350
Let i = 167537/60 + -2793. Find the common denominator of i and -107/6.
60
Let p be 