-21035/53 + 1843097/6360. Let b = m + 554/5. What is the common denominator of b and 75/44?
264
Let l(o) = -2*o**2 - 9*o - 2. Let p be l(-6). What is the common denominator of 4 + (4935/1050 - (1*-1 - 0)) and (p/132)/(2/51)?
110
Let k be ((-96)/(-5))/(-2 + 1/(-2)). Let w = 181/50 - k. Find the common denominator of w and 37/25.
50
Let r = -21897/11 - -1992. Let n = 3/12746 - 229665/1006934. Let z = n + -2061/316. Find the common denominator of r and z.
44
Let k be 3/((-240)/(-13924)) - 3. Let s = 784/5 - k. Let y = -7411/418 + 393/19. What is the common denominator of s and y?
44
Find the common denominator of 125/(-36) + (-1)/(-6) and (-14)/(-91) - 29*(-35)/1430.
396
Let v = 497 + -431. Calculate the common denominator of 1/(-3)*219/(-16) and (1 + (-57)/12)/(144/v).
32
Let y(w) = w**2 - 9*w - 71. Calculate the lowest common multiple of 5 and y(23).
1255
Suppose 4*s - 4*z = 0, 3*z + 0 = -2*s + 5. Let x = s + 47. Calculate the least common multiple of (-2)/((-2)/7 + x/560) and 6.
30
Let i = 137 + -237. Calculate the common denominator of 58/15 and (-82)/i*(-5 - -3 - -1).
150
Calculate the lowest common multiple of (-43 + 44)/((-5)/(-20)) and 1860.
1860
Let n = 33749/84 + -1211/3. Find the common denominator of n and (-2)/4 + 92/(-22).
308
Let d be (2 - 5) + (-35451)/(-81). Let j = 437 - d. Calculate the common denominator of j and 65/9.
9
Let k be ((-22)/3 - -1)/((-5)/45). Let z = k + -43. Suppose -v - z = -d, 5 = -5*v - 0. Calculate the least common multiple of d and 1.
13
Let y be 3628/(-628) + 7 - 0. Let g = y - 22871/1884. Calculate the common denominator of g and -73/32.
96
Let x = -20782 - -20846. What is the least common multiple of x and 1584?
6336
Calculate the least common multiple of (296/(-24) + 6 - -6)*3375/(-3) and 27.
3375
Suppose -g = 64*g - 2275. What is the least common multiple of 14 and g?
70
Suppose 564 = y + 2*y. What is the least common multiple of y and 40/(-12)*(-72)/48 - (3 + -2)?
188
Let l = -863 - -1699. Calculate the smallest common multiple of 110 and l.
4180
Let i = -122 + 160. What is the least common multiple of (2 + i/8)/((-15)/(-40)) and 3?
18
Let m = -9992/8517 + 6/167. Let k = m + -1/34. Let s = 28416 + -2273313/80. Calculate the common denominator of k and s.
240
What is the smallest common multiple of 152 and -7 - (-4 - (-4 + -1) - 24)?
304
Let t = 9885717/100 + -98858. Let w = -3864/223 - -76311/4906. What is the common denominator of w and t?
1100
Let r be (-6768)/(-90) - (-1)/(-5). Let y = r + -69. Suppose 0 = 17*i - 19*i + y. What is the least common multiple of i and 3?
3
Find the common denominator of 177*((-61)/126 + 129/258) and 4/717.
5019
Suppose -5*p + 81*x = 76*x - 335, 5*p - 3*x = 337. Find the common denominator of ((-9)/3 + 0)/((-630)/p) and 46/3.
105
Let o(j) = j**3 + 2*j**2 - 2*j. Suppose u + 1 + 1 = 2*s, 0 = 5*u + 5*s + 25. Let k be o(u). Calculate the common denominator of 21/10 and -1 - 356/k*1.
30
Suppose 0 = -3*c - 32*c + 1925. Suppose -48*q + c*q - 77 = 0. What is the least common multiple of 110 and q?
110
Let y(o) = -9*o**3 + 30*o**2 + 156*o - 14. What is the lowest common multiple of 4 and y(-6)?
4148
Let q(i) = i**3 + 8*i**2 - 6*i - 4. What is the least common multiple of (50 - 16) + (-20 - -34) and q(-8)?
528
Let w = -9327673/531828 + 3273/187. What is the common denominator of 1/7 and w?
19908
Let o be 14/10 - (160/(-50))/(-8). Find the common denominator of (o - 1/3) + 6633/(-6264) and 71/22.
2552
Let i = -341 - -346. Suppose -i*f + f + j = -82, 0 = -4*j - 8. What is the smallest common multiple of f and 40?
40
Let t(v) = -v**3 + 8*v**2 + 2*v - 16. Let h be t(8). Suppose -108 = -4*p - 32. Suppose -y + p - 1 = h. Calculate the smallest common multiple of y and 11.
198
Let i = -1 + 21. Let b = -4494 + 4509. What is the least common multiple of i and b?
60
Let f = 58 - 57. What is the common denominator of -4 + f + (-366)/24 and 29/3?
12
Suppose 88 = 6*x + 10. Suppose -x*i + i = -72. What is the least common multiple of i and 34?
102
Let n be (1200 - (6 - 2)) + 1. Let k = n - 5933/5. What is the common denominator of k and (-2 - 100/(-27))/(2/(-6))?
45
Let p(v) = v**3 + 31*v**2 + 57*v - 26. Let z be p(-29). Suppose z*d = -8*d + 1232. Calculate the lowest common multiple of 28 and d.
112
Let i = 344/115 - 50/69. Let d be (99/45)/11 + (-1339702)/(-333090). Let a = d + 2/11103. Calculate the common denominator of a and i.
45
Let v be (-1 - (-102)/117)/(7/24). Let g = 2/13 + v. What is the common denominator of g and 29/31?
217
Let m = -7373357/512 - -14401. What is the common denominator of 125/1152 and m?
4608
Let g = -864 + 1305. What is the least common multiple of g and 441?
441
Suppose 24*c - 18*c = 39*c - 66. Let i be -9 + (-3 - -1)/(-2). What is the common denominator of (i + 9)/((42/65)/c) and -13/21?
21
Let r be 33512/14 + -8*3/(-84). Let m = -16722/7 + r. Find the common denominator of -48/35 and m.
35
Let f = -202/145 + 1543/1160. Find the common denominator of -41/72 and f.
10440
Find the common denominator of 83/24 and 32/(-48)*(-77)/12848.
1752
Suppose -5*o = -15, r + 4*r = -3*o + 114. Let x(w) = w**3 + 6*w**2 - 2*w + 9. Calculate the smallest common multiple of x(-6) and r.
21
Suppose 0 = 384*g - 3974 + 902. Calculate the least common multiple of g and 6/(-1)*(-10)/3.
40
Let l = -134803/30 - -4490. Let d = -299669/24 - -12488. Calculate the common denominator of d and l.
120
Let a = 12 + -9. Let b be a*(4 + -3) - (-4)/1. Suppose -12*m = -b*m - 10. What is the smallest common multiple of 290 and m?
290
Suppose -3*k + 9 = 0, -5*u + k - 2 = -3*k. What is the common denominator of 1/(-6)*(-5 + 786/(-3)) and -2 - (u - (-470)/(-48))?
24
Let o(t) = -2*t**3 + 136*t**2 + 181*t - 366. What is the lowest common multiple of 1156 and o(69)?
10404
Suppose 6*b + 92 = 218. Suppose -15*n + b*n - 180 = 0. Calculate the least common multiple of n and 25.
150
Suppose -5*i = -h - 986, 3287*i - 3292*i + 5*h = -970. What is the lowest common multiple of 84 and i?
2772
Suppose z - 9 = -5*u + 5, -2*z - 3*u + 7 = 0. Let v = z + -99. What is the common denominator of v/(-21) + (-60)/(-105) and 25/2?
6
Let p = -180 - -81. Let i = p + 121. Calculate the lowest common multiple of 32 and i.
352
What is the common denominator of ((-2)/(-6)*-1)/(-1*1500/1605) and -81/500?
1500
Let w(j) = j + 3. Let q be w(0). Let h(x) = -x - 9*x**2 + 10*x**2 + 3 + q*x. Calculate the smallest common multiple of h(-2) and 2.
6
Suppose 2*v = 2 + 10. Find the common denominator of v/(-9) + 363/(-9) and ((-74)/40*2 + 4)/((-3)/88).
5
Let v be 19 + (1 - -4 - 4). Let u = v + -19. What is the smallest common multiple of u and 103 + (-42)/(-3 - -10)?
97
Suppose 15 = -8*y + 7. Find the common denominator of y/2*1 - 11842/(-6820) and 12/25.
275
Suppose 0 = s - 5*u + 328, -934 = 3*s + 4*u - 9*u. Let t be (s/(-4)*31)/((-3)/12). Let y = -112831/12 - t. Calculate the common denominator of y and 17/10.
60
Let t = 346 - 92. Let r = 290 - t. What is the smallest common multiple of r and 42?
252
Suppose -4*m - 14 = -3*x, -5 - 1 = 3*m. Suppose -n - 49 = -5*k, 0*n = -k + x*n + 8. What is the smallest common multiple of k and 7?
70
Let o(j) be the first derivative of -j**4/2 - 2*j**3/3 + j**2 + 47. What is the smallest common multiple of o(-3) and 12?
60
Let h(s) = -s**3 - s + 3. Let b be h(0). Let o(a) = -1 + a - 3 + 3 - 1. What is the least common multiple of 34 and o(b)?
34
Let u = 3/1075 + -116279/449350. What is the common denominator of u and -41/1102?
12122
Suppose h - 8*t - 3168 = -5*t, -4*h + t = -12650. Calculate the least common multiple of (h/(-12) - -1)*-4 + -2 and 18.
9432
Let z be 232/(-214) - (-7 + 6). Let q = 3095/1177 + z. Let f = -25291/10 - -2524. Calculate the common denominator of f and q.
110
Suppose -4*j = -g + 3*g - 302, 6 = 2*g. Let s = -75 + j. Calculate the least common multiple of 14 and s/2 - (-180)/8.
154
Suppose -3*w - 19 - 5 = 0. Let t = w + 14. Suppose 0 = -4*z - 5*l + 30, 0 = -3*z + 6*l - 7*l + 28. Calculate the lowest common multiple of t and z.
30
Let p(y) = y**2 + 3*y - 32. Let z be p(7). What is the smallest common multiple of 1 + z + 7 + -4 and 2?
42
What is the common denominator of -127/312 and (53/78)/(200/75)*(-11)/33?
624
Let l = -8 - -18. Suppose 0 = -n + 5*i - 7, 10 = 4*n + 3*i - 8. Suppo