
Let p = 6477/830 + 174/83. What is the common denominator of p and 27/271?
2710
Let x(o) = 17*o + o**3 - 16 + 11*o**2 - 3 - 10*o. Let u(b) = 2*b**2 + 24*b + 6. What is the least common multiple of u(-12) and x(-10)?
66
Find the common denominator of ((-4)/(-6))/1 + (-1145)/1596 and 111/70.
2660
Suppose 3*b - 3082 = 3*i + 2543, 4*i = 3*b - 5616. What is the least common multiple of 24 and b?
3768
Let q(j) = -j**2 - 58*j - 797. Calculate the least common multiple of q(-29) and 36.
396
Let p = -43153/6 + 4833001/672. What is the common denominator of ((-87)/(-1044)*(-356)/10)/((-5)/15) and p?
1120
Let a = -30072661/44 + 683441. Let q = -111/4 - a. Find the common denominator of q and (42*(-77)/(-168))/(2/4).
22
Let q be 5222/582 - (-1 + 0). Let n be 4715/(-970) + 14 - 9. Let x = q - n. What is the common denominator of -83/18 and x?
18
Suppose 0 = 5*v - 4*k + 329 + 326, -4*v = k + 524. Let m = v + 132. Calculate the smallest common multiple of 5 and m.
5
Let y = 12527517/31190 - 172/9357. Let b = -1944/5 + y. Find the common denominator of b and ((-2)/(-6))/((-2)/58).
6
Calculate the common denominator of 6841/2254 + -22 - -19 and -117/686.
15778
Calculate the common denominator of -6 - ((-11270)/1800 + 2/(-12)) and 47/360.
360
Let g = 283309/4 - 828577/12. Let n = g - 1773. Let q = -6572 - -184087/28. Calculate the common denominator of q and n.
84
Suppose 22*v = 27*v - 10. Suppose 4*a = a - v*y + 48, 4*y = a - 2. Let j(q) = 7*q + 1. What is the least common multiple of j(3) and a?
154
Let o = 27 - 27. Suppose 8 = -4*x, -2*p = -o*p - 5*x - 100. Let t = 72 - p. Calculate the smallest common multiple of 24 and t.
216
Suppose 3*k - 2*k - o + 12 = 0, 3*k - o = -32. Calculate the common denominator of -31/9 and ((-2093)/35)/13*k/(-68).
306
Let m = 7901385 - 2975170. Let o be m/924 + 6/33. Let s = o + -5321. Find the common denominator of 73/15 and s.
60
Let j be -3 + 863 - 4/2. Suppose 13*c - j = 2*c. Let t = -66 + c. Calculate the least common multiple of t and 12.
12
Suppose 4*m - 60 + 12 = 0. Suppose q + m = 14. Calculate the smallest common multiple of 1 + 2 + 0/q and 15.
15
Suppose -4*h + 5 + 3 = 0, -5*h = -2*g + 870. What is the least common multiple of g and 88?
440
Let w = 3148 - 2148. Calculate the least common multiple of 4 and w.
1000
Let u be (56 - 2/4*0) + -2. Suppose -18 + u = 4*w. Suppose 0 = -2*i + 21 + w. Calculate the lowest common multiple of 21 and i.
105
Suppose 18*g - 24*g + 162 = 0. Let i(d) = 32*d**3 - 2*d + 3. What is the least common multiple of g and i(1)?
297
Let h = -2607175401 + 12467512709455/4782. Let t be ((-22322)/3188 + 7)/((-1)/(-6)). Let v = t + h. What is the common denominator of -103/10 and v?
30
Let n(p) = -8*p**2 + 14*p - 6. Let t be n(7). Find the common denominator of 91/10 and 2895/t + (2 - -4).
20
Let u = 185379847/16 - 11572205. Let r = 14040 - u. What is the common denominator of -75/268 and r?
1072
Let v = -848299/20 + 42413. What is the common denominator of (-3 - -1)/((-2124)/(-267)) and v?
3540
Suppose -11*x = -16*x - 2*u + 1018, -5*x = -4*u - 964. Calculate the lowest common multiple of 640 and x.
3200
Calculate the common denominator of (-146139)/(-9163) + -6 - 10 and 25/1122.
7854
Let u = -160 + 220. Suppose 4*x - 2*k - u = -16, -2*x + 10 = 2*k. Calculate the smallest common multiple of 23 and x.
207
Suppose 2*r - 13 = -563. Find the common denominator of (-10)/(-4)*(-124)/r + 0 and (15/(-6))/((-3)/26).
165
Suppose -220*g + 274*g = 18576. What is the smallest common multiple of 20 and g?
1720
Let n(a) = -a**3 - 3*a**2 + 3*a + 2. Let d = -722 + 620. Calculate the least common multiple of 85/d + 106/12 and n(-4).
24
Let i(p) be the second derivative of -p**4/12 - 13*p**3/2 + 3*p**2/2 - 3*p - 3. What is the least common multiple of i(-34) and 10?
1730
Let k = -1539/5 - -810833/2635. Calculate the common denominator of -101/4 and k.
2108
Let p(x) = 4*x**2 - 14 - 17 + 32 - 3*x. Let f(i) = -i**2 - 4*i + 10. Calculate the least common multiple of p(2) and f(-5).
55
Let q be (-2 + 9)*(-4)/(-14). Suppose 2*t = a - 5881, -q*t = 3*a - 7*t - 17640. Let f = a - 105719/18. What is the common denominator of f and -61/9?
18
Let d be 47245/(-21) - (-33)/77. Let b = d - -2230. Calculate the common denominator of 3/244 and b.
732
Suppose 4*v = v - 4*z - 136053257, 4*v + 3*z + 181404345 = 0. Let g = v + 205032265598/4521. Let n = g + 3/137. Find the common denominator of n and 67/12.
132
What is the common denominator of 85/6388 and 336/(-88) - -4 - 1035/(-55)?
6388
Calculate the common denominator of ((-43836)/22480)/(14/(-15)) and 33/259.
2072
Let a be (-1)/((-24)/(-162))*52*1. Let d = -1003/3 - a. Find the common denominator of 7/18 and d.
18
Suppose -1697 = -4*r - c, 3*r - c - 928 = 336. Find the common denominator of 107/42 and (r/42)/(10 + -13).
42
Let r = 21703021/192 - 113037. What is the common denominator of r and 115/12?
192
Let u = 57511/10 - 5753. What is the common denominator of -31/3826 and u?
19130
Let r = -900/7 - -9718/77. Let s be (-4)/(-14) - (-13908)/(-48580). Let f = -98893/3470 + s. What is the common denominator of f and r?
22
Let q = -34635/616 + 612/11. Find the common denominator of (171/(-152))/((-819)/1508) and q.
56
Let a be 2 + 65/(-30) + 3/18. Suppose -31*y + 27*y + 68 = a. Calculate the lowest common multiple of y and (-2)/8 - 50/(-8).
102
Let k = -166 + 181. Suppose 280 = 22*r - k*r. What is the smallest common multiple of 40 and r?
40
Let o be (-4 - 13/(-4))/(1467/(-8)). Let p = o - -30308/2445. Calculate the common denominator of 37/52 and p.
260
Let q = -16245 - -17685. Calculate the lowest common multiple of q and 360.
1440
Let q(d) = -d**3 - 2*d**2 + 72*d + 411. Calculate the lowest common multiple of 183 and q(-8).
13359
Find the common denominator of 0 + -1 + 2 - (-362)/(-60) and 4/(-18) - (14/(-45))/((-660)/3025).
270
What is the smallest common multiple of (372/24 - 14)*(55 - -1) and 392/(-12)*12/(-8)?
588
Let k = 91/2610 + -7/45. Calculate the common denominator of 183/(-36)*1*280/210 and k.
522
Let z = -13201 + 13249. Calculate the lowest common multiple of z and 1530.
12240
Let p be (3 + -4)*(7 - -6). What is the smallest common multiple of 6 and 64/(-416) - 2186/p?
168
Suppose -3*b - j = -42, -38 = -2*b - 3*j - j. Suppose -7 - b = -5*i. What is the smallest common multiple of 125/7 + (-5)/(-35) and i?
36
Let s be (2/(-8))/((-15059)/1672 + 9). Suppose s*f = 42*f - 136. Calculate the smallest common multiple of f and 10.
170
Let l = -3893 + 3902. Calculate the smallest common multiple of l and 843.
2529
Suppose 5*y = 3952 + 808. Find the common denominator of (-2)/22*2 + y/(-2772) and 137/18.
198
Let q be 1821/54*(-6)/4. Let o = -445/9 - q. What is the common denominator of o and -19 - (189805/102)/(-55)?
36
Let n(l) = 4*l + 15. Let k(p) = -5*p - 16. Let q(f) = 5*k(f) + 6*n(f). Let g be ((-6 - -6)/5)/(-2). Calculate the lowest common multiple of q(g) and 18.
90
Let p be (-6944)/(-84)*(-9)/(-12). Suppose 2*c - p - 36 = 0. What is the lowest common multiple of c and 77?
539
Suppose -40*x = -7*x - 1683. Let o(a) = -a**3 - 2*a**2 + 13*a + 14. Calculate the lowest common multiple of o(-5) and x.
408
Suppose 96 = -z + 17*z, 0 = 5*p - 3*z - 132. What is the lowest common multiple of 1255 and p?
7530
Let z(o) = o**3 + 10*o**2 + 4*o + 3. What is the lowest common multiple of (-56)/(-6)*((-396)/(-77))/2 and z(-9)?
48
Let f = 630 + -624. Calculate the least common multiple of 438 and f.
438
Let z = -73 + -136. Let w = -3367 - -33739/10. Find the common denominator of w and 1 + z/(-44)*(-1)/4.
80
Suppose 4*c + 14 = 46. Suppose -14*i + 19*i = -20. Calculate the least common multiple of (-2)/i - (-19)/2 and c.
40
What is the lowest common multiple of 350 and 183 + 2 + -1 + (-56)/8 - -5?
4550
Let k = 103817/40 - 12987/5. Find the common denominator of -149/756 and k.
7560
Let w(y) = -y**3 - 11*y**2 - 18*y - 203. Calculate the least common multiple of 2652 and w(-20).
45084
Suppose -6*h + 2896 = 190. Calculate the lowest common multiple of h and 369.
4059
Suppose 36 = -152*c + 153*c. Suppose -2*v - 2 = -v, c = 5*x + 2*v. What is the least common multiple of x and 142?
568
Let d be 3 + (-5 - 1) - 121. Calculate the common denominator of 166/d - (6 + (-90)/10) and -13/8.
248
Let x =