= 52*s + 26. Let y be v(10). What is the common denominator of 55/27 and (47/y + 0)/(10/20)?
2457
Suppose 4*n - 2 = 3*n. Suppose -2*b + 18 = 2*g, 12*g = 5*b + 13*g - 69. What is the least common multiple of 0 + n + -5 + 54 and b?
255
Let t = -648/11 - -8885/154. What is the common denominator of t and -47/46?
322
Let g(v) = 15*v + 28. Let x be g(-2). What is the common denominator of 97/126 and 14/(-420)*35/x - 4?
252
Find the common denominator of ((-190)/56)/(1032/602) and 11/(-330)*670/4.
48
Let u = -1260561/26 - -3359623/117. Let j = -37354 - -57130. Let p = j + u. Calculate the common denominator of p and -101/10.
90
Let x(v) = -v**2 - 2*v - 34. Let z be x(0). What is the common denominator of 19/60 and (-34)/360*(-1 - z)?
60
Let d = 57 + -19. Let f = -34 + d. Suppose -17 = -f*u + g, 8 - 21 = -3*u + g. Calculate the smallest common multiple of 5 and u.
20
Suppose 264 = -154*q + 411 + 2317. Calculate the least common multiple of 5566 and q.
44528
Let v be ((-2778)/162*-6)/(4/146). Let q = v + -513665/99. Let l = 1429 + q. What is the common denominator of l and -67/12?
132
Calculate the common denominator of 203452/(-222)*3/(-344) + (-176)/22 and 53/74.
6364
Let z(y) = 14*y - 7. Let s(j) = -7*j + 3. Let b(x) = 5*s(x) + 3*z(x). Let v be b(-6). Let t = 55 + v. Calculate the least common multiple of 4 and t.
28
Let f(n) = -n**2 - 15*n + 235. Let d be f(9). Suppose -d*j - 180 = -29*j. What is the least common multiple of 76 and j?
684
Suppose 2*y + 56 = 3*y - 12*m, 4 = -2*m + 2. Let r = -102 + 150. Suppose r = 2*j + 2*j. Calculate the lowest common multiple of y and j.
132
Let z = 4920 + -3550. Calculate the least common multiple of z and 10.
1370
Suppose -4*g - 1285 = -2*y - 1433, -76 = -2*g + 2*y. Suppose -4*i + 4 = -2*i. Calculate the smallest common multiple of i and g.
36
Let w = 8753 - 14653. Let d = w - -247789/42. What is the common denominator of 125/24 and d?
168
Suppose 26 = 4*t + 2. Suppose -2*k + 136 = 40. What is the least common multiple of (k - (3 - 6))*(-4)/(-6) and t?
102
Suppose 665*t = 533*t + 949 - 157. What is the smallest common multiple of 52 - (-1)/((-2)/(-4)) and t?
54
Suppose -4*y + 25*y = 105. Let b(c) = c**3 - 5*c**2 + 9*c - 18. Calculate the least common multiple of b(y) and 36.
108
Let i = -2/327 + 3395/2616. Calculate the common denominator of i and -23/496.
1488
Let n = 80 + 22. Let f = 1439 - 1332. Let t = n - f. What is the common denominator of t and -36/25?
25
Let j(d) = -12*d + 542. Let s be j(44). Suppose s*u - 90 = 4*u. Calculate the smallest common multiple of 45 and u.
45
Let f(s) = -19*s**3 + s**2 - 3*s. Let z be f(1). Calculate the least common multiple of 50 and (-576)/z + -8 - (-12)/21.
100
Suppose -7*y + 7 = -7. Let q = -77 - -79. Suppose 116 = 5*u - q*s, -74 = -3*u - 5*s + 4*s. What is the lowest common multiple of u and y?
24
Let x = -13817/18 + 765. What is the common denominator of x and -19/964?
8676
Let v be (1 + (-143)/55)/(8/(-10)). Suppose -6*m = 3*x - 294, -4*m - 2*x - v*x + 200 = 0. Calculate the least common multiple of m and 12.
48
Let d(f) = f + 34. Let n be d(-25). Suppose t + 4*k = 476, -n*k + 1919 = 4*t - 8*k. Calculate the lowest common multiple of 22 and t.
5280
Let r = 1110754 + -2205957577/1986. What is the common denominator of 8/27 and r?
17874
Calculate the common denominator of -11/553 and 2 + (-72)/(-459)*-12 - 11398/75208.
2212
Suppose -16 = -4*x, -4*w - 5 = -4*x - 1. Let n(t) = -11*t + 41. What is the least common multiple of 24 and n(w)?
24
Let u be ((-195)/(-100) + -2)/((-3189483)/154639224). Let w = u + 2/53695. What is the common denominator of 47/33 and w?
33
Let f(d) = -d**3 + 20*d**2 - d + 24. Let z be f(20). Suppose -l - z - 2 = 0. Find the common denominator of ((-63)/l)/(24/(-20)) and -61/14.
28
Let a be (9 - 9)/(2*1/(-2)). Suppose -9*q + a*q = 234. Find the common denominator of 94/6 - (1 - -1) and q.
3
Suppose 12*v = 534 - 6. Let s = -138 + 142. What is the smallest common multiple of s and v?
44
What is the common denominator of 2 + -2 - (459/(-483) - 8/(-7)) and 34/69?
483
Let s(w) = -4*w + 12. Let t be s(3). Suppose 4*i + 8 = t, -7*z - 5*i = -6*z - 157. Let n = z + -111. Calculate the lowest common multiple of n and 18.
504
Let s = 2 - -4. Let n = 183 + -248. Calculate the common denominator of -52/7 and (-9)/s + n/18.
63
Let b be -2 + -17 - (8 - 9). Let f be (-192)/b*(0 + -3). Calculate the common denominator of (-1 + -1)*(-190)/f and -91/18.
72
Let l(k) = k**2 - 25*k + 147. Let w be l(9). Suppose 0 = -5*c, -4*c + w*c = d - 11. Calculate the smallest common multiple of 21 and d.
231
Suppose -40*c = -44*c + 408. Suppose -5*y + 70 = -5*d, 4*y - c = -y - 3*d. Calculate the smallest common multiple of y and 12.
36
Suppose 4*b - 2*z = 65 + 63, 0 = -2*b - 4*z + 64. Suppose -2*q = 5*y - 4*q - 196, -y + b = 2*q. What is the least common multiple of y and 7?
266
Calculate the common denominator of 44/315 and (-606)/(-63)*(470/700)/(-47).
2205
Suppose 2*w = 32 + 2. Suppose 8*s = -1 + w. Calculate the common denominator of s*-1 + -38*(-12)/(-32) and -49/18.
36
Let l(d) = d**3 - 15*d**2 - 8*d - 126. What is the lowest common multiple of 3900 and l(16)?
3900
Suppose -4*i - 6 = -5*g, 4*i - 8 = -5*g + 6*i. Suppose -2*p = g*t - 222, 2*p + 6*t = 8*t + 234. What is the least common multiple of p and 7?
798
Let x = 8 + 20. Suppose 4*m = -3*y - 0 + 30, 4*m + 68 = 4*y. Calculate the smallest common multiple of y and x.
28
Let y = 1320 + -129351/98. Let g be 4 - (45 + -4 - -2). Find the common denominator of y and g/168 - (-1)/(-7).
392
Suppose -5*n - 6 = -3*s, -5*n + 37 = 4*s - 2*n. Let o(y) = y**3 - 8*y**2 + 8*y - 1. Let r be o(s). Find the common denominator of (-19)/2 - -2*(-3)/r and 17/8.
8
Suppose 2*w + 98 = 2*l - 146, 5*w = -25. Calculate the least common multiple of l and 429.
1287
Let i be 1/4*(11 + -3). Let a be (-3 - (-24)/9)/((-5)/(-45)). What is the common denominator of -95/4 and (a - -3)/i + (-3)/(-75)?
100
Suppose 25*f = 108 + 542. What is the smallest common multiple of f and 702?
702
Let v(d) = -2*d**2 + 220*d + 3488. What is the lowest common multiple of 433 and v(-14)?
6928
Let m = -19067/128 + 4785/32. What is the common denominator of -151/2400 and m?
9600
Suppose 0*q + 3*q - 524 = 5*w, 2*q + 2*w - 328 = 0. Let v(m) = -316*m + 1312. Calculate the lowest common multiple of q and v(4).
336
Let a = -2774/1205 + 1/482. What is the common denominator of a and -93/2638?
13190
Suppose 3*j - 183 = -111. Suppose q = 3*q - 6, 3*o = 2*q - j. Calculate the least common multiple of 80 and ((-252)/(-24))/(o/(-8)).
560
Let l = -1149 - -2858. Let h = 6354 - l. Let u = -232271/50 + h. What is the common denominator of u and -107/18?
450
Let k be (-2)/(-1) + 3 + -1. Suppose 128 = -k*v - 0*v. Let n = -17 - v. Calculate the smallest common multiple of n and 27.
135
Suppose 24*l = 18*l + 180. What is the lowest common multiple of l and 1080?
1080
Let c = 1920 - 3719. Calculate the common denominator of (1/(-15))/(c/301 - -6) and -187/30.
30
Let b = 1469/14 - 18475/168. Calculate the common denominator of b and 101/102.
408
Let h = 568 - 564. Let y(z) = -z**3 + 11*z**2 + 18*z - 36. What is the least common multiple of h and y(12)?
36
Let n = -3589 - -3829. What is the lowest common multiple of 60 and n?
240
Suppose 65*z + 1040 = 69*z. Let i = 264 - z. Calculate the least common multiple of i and 6.
12
Let q = -1343237/40 - -33584. Find the common denominator of 83/70 and q.
280
Let d = -40 - -36. Let l be (((-6)/d)/(-1))/(21/(-196)). Suppose 66 = l*p - 12*p. Calculate the smallest common multiple of p and 24.
264
Find the common denominator of (-1)/(-45)*((-511)/35 - -3) and 29/360.
1800
Let p be 66/(-99) + 14/3. Suppose -34 = -15*o - p. What is the lowest common multiple of o and 18?
18
Let d = -124 + 132. Let c = 20/137 + -3037/1096. What is the common denominator of 5 + (-14)/d + 3 + 0 and c?
8
Let u(c) = -c**3 - 26*c**2 - 49*c + 2. Let h be 0 + 1/((-3)/(-6)). Calculate the smallest common multiple of (-52)/(-8) - 3/h and u(-24).
130
Suppose -8*u + 40 = -3*u. Suppose -3*f - 2*p + p = -15, 25 = 5*f + 3*p. Suppose f*m - 3 = 4*c - 34, 19 = c + m. What is the smallest common multiple of u and c?
56
Let z = 161639/29220 - -3/1948. Calculate the common denominator of (17/(-