/6185. Let n be 75/(-83)*16/(-10). Let f = n + -3607/830. What is the common denominator of r and f?
240
Suppose -5*a = -3*z + 4971, -z + 4*a - 24 = -1681. What is the smallest common multiple of z and 9?
14913
Let y = 308/317 - 86297/53256. Find the common denominator of y and 167/504.
504
Suppose 0*n = -2*n + 10852846. Let h = n + -119444759/22. Let v = h + 2886. What is the common denominator of v and -73/18?
198
Find the common denominator of (-1)/(-16)*(-3)/22 and ((-330)/(-144))/((-235)/1269).
352
Let s = 2140 + -880. What is the lowest common multiple of 54 and s?
3780
Suppose 46*j - 25 = 45*j + 167. Calculate the smallest common multiple of j and 9.
576
Let c be 9/(396/(-2744)) + 0. Let o = 28353/440 + c. Calculate the common denominator of o and 91/230.
920
Let z be (10258/4)/((-2)/(-4)). Let p = 8752 - z. Let m = 21643/6 - p. Find the common denominator of -43/15 and m.
30
Let i = -1636 - -1658. What is the smallest common multiple of i and 1991?
3982
Suppose 0 = -170*u - 50*u + 2640. Let f(l) = 4*l - 2. Calculate the least common multiple of f(4) and u.
84
Let g be 10*(-1 - (-2)/4). What is the common denominator of (-221)/12 + g/15 and (-529)/(-322)*(-21)/(-14)?
28
Suppose 0 = 11*l - 7*l - 12. Calculate the common denominator of (l/(-4))/((-198)/(-407)) and -113/20.
120
Let n = 79 - 157. Let q = -47 - n. Let c = 39 - q. What is the lowest common multiple of 5 and c?
40
Suppose 162*j - 151*j = 33. What is the common denominator of 2139/828*j/(-2) and (-2 - 34/(-18))*-31?
72
Let q(a) = -a**3 + 2*a**2 - 4*a + 11. Suppose -4 = -3*k + 5*k. Let z = 0 - k. What is the smallest common multiple of q(z) and 33?
33
Calculate the common denominator of ((-10811)/(-1050))/(-19) - (-15)/((-75)/(-2)) and 67/280.
4200
Suppose 3*d - 36*d = 29*d - 4464. Suppose -3*k + 40 = -4*o - 0*o, 2*k + 5*o + 4 = 0. What is the lowest common multiple of d and k?
72
Let i = -4110 + 4163. Calculate the smallest common multiple of i and 530.
530
Suppose 0 = -r + 19 - 23, d - 2*r = 7. Calculate the common denominator of 37/6 and ((-19)/30)/d + (-55)/(-11).
30
Let q be -6*(-6)/(6/(-1)). Let f(w) = w**3 + 4*w**2 - 6*w + 6. What is the common denominator of 11/2 and f(q)?
2
Let y(w) = -w + 22. Let n be y(-10). Let j = -4168 + 50069/12. What is the common denominator of j and (3 - (-58)/5)/(n/20)?
24
Let m(w) = -w**3 + 37*w**2 + 165*w - 23. Calculate the smallest common multiple of m(41) and 10882.
97938
Let w = -197241 + 491130071/2490. Calculate the common denominator of -139/996 and w.
4980
What is the common denominator of -113/20 and (-7)/(567/(-6)) + (-17057)/51948?
2340
Let p = -3365 - -26963/8. Let w = 164118 - 23633143/144. Calculate the common denominator of p and w.
144
Let t = -73 - 30. Let o = t + 118. What is the lowest common multiple of 25 and o?
75
Suppose 3*v - 6*v + 296 = 4*o, -3*v = -5*o + 397. What is the common denominator of (-14)/o - (-3711)/990 and (-96)/(-27)*12/10?
30
Let l(g) = g**2 - 13*g + 30. Let r be l(7). What is the lowest common multiple of 4 and 3/(((-4)/((-16)/r))/(-8))?
8
Let h(o) = -9*o - 1. Let g(b) = 5*b**2 - 326*b + 5030. What is the lowest common multiple of g(24) and h(-1)?
344
Let q be 7 + 0/(-1) - 2. Suppose 4*c = -q*c + 567. Let z = c + -586/9. Find the common denominator of -1/18 and z.
18
Let x(c) be the first derivative of c**4/4 + 3*c**3 + 7*c**2/2 - 10*c - 3. Let s be x(-8). What is the common denominator of -179/30 and (s + 2/40)*30/10?
60
Let q = -4088 + 4431. What is the least common multiple of q and 343?
343
Let r be (8 + 0)/8 + 1*-39. Let i = 47 + r. Calculate the smallest common multiple of 1 and i.
9
Let y(a) = -15*a + 3. Let b be y(2). Let f(r) = r + 28. Let d be f(b). Find the common denominator of 3 - ((-189)/(-72) + d/1) and -35/258.
1032
Let o(s) = -2*s**2 + 27*s - 13. Let w be o(13). Calculate the common denominator of 104/(-34) + (w - 3/(-2)) and 1 + 3/30*-69.
170
Let s be 147/27 + 24/(-54). Suppose x + 4*c = s*x - 24, 0 = -5*x + c + 10. What is the smallest common multiple of x and 3?
3
Calculate the common denominator of -3 + (-12 - (-58373)/3878) and 51/7.
3878
Suppose -25 = 5*w, -2*w - 181 = -4*r - w. Let y = 49 - 36. Let o(c) = c + 27. Calculate the smallest common multiple of o(y) and r.
440
Suppose 4 = -o, 0 = 2*m - 5*o - 24 - 8. What is the smallest common multiple of 2 + m/4 + 2/4 and (1/(-2))/((-2)/40)?
20
What is the least common multiple of 1064 and (35/3)/((-625)/(-42750))?
3192
Let m = -5329603/995929 - -1/26917. Let l = m + 5869/592. Calculate the common denominator of 67/6 and l.
48
Let h be 50/(-3)*171/24. Let k = -10951/92 - h. Calculate the common denominator of 98/12 - 2/8 and k.
276
Calculate the lowest common multiple of 160 and 4*2 - (-43)/(1161/20358).
60960
Suppose -15*z + 21*z - 102 = 0. Suppose 3*d - z = 19. Suppose 5*g - 45 = 2*g. Calculate the lowest common multiple of d and g.
60
Let g = -1855 + 18461/10. Let d = -275/756 - -5/27. Let u = d + 207/140. What is the common denominator of u and g?
10
Let x = -12216 + 3713673/304. Let o = -8709/1520 + x. Let b = 5519/344 + -749/43. Calculate the common denominator of o and b.
40
Suppose 0 = y + 5*b - 58, y + 313 = 6*y + 2*b. Suppose 61*t - y*t + 36 = 0. What is the lowest common multiple of 14 and t?
126
Let t be (-5)/(-30)*(9 - -3). Suppose -5*m = o - 25, o - t*m = -0*m + 18. Calculate the least common multiple of o and 12.
60
Suppose -85*m + 30 = -95*m. Calculate the common denominator of 17/104 and (m + 1205/325)*6/4.
520
Suppose 4*m - 40 = 4*s, -5*s + 25 = 5. Suppose 0 = 2*l + l. Suppose l*v - 4*v = -12. Calculate the smallest common multiple of m and v.
42
Suppose -4*y - 24*r = -20*r - 116, 4*y - 96 = 6*r. Calculate the least common multiple of 207 and y.
621
Let h be (2 - 2 - 0) + 0. Suppose -5*m = -h*m - 15. What is the smallest common multiple of ((-27960)/70)/(-12) + -4*2/28 and m?
33
Suppose -9*w = -13*w + 12. Suppose -2*x + w*g + 106 = 0, -5*x + 3*g = g - 276. What is the least common multiple of x and 80?
560
Let j = 141/10 + -3179/240. Calculate the common denominator of -77/400 and j.
1200
Let u = 103815229/324 - 320417. What is the common denominator of -187/30 and u?
1620
Suppose -4*q + 375 - 47 = 0. Let y = q + -58. What is the least common multiple of 4 and y?
24
Let r be (-3)/18*-2*(-2 + 65). What is the common denominator of (-15)/28*154/r and (-4)/22*1/(-4)*-15?
154
Let a(c) = 6*c**2 - 101*c - 166. Calculate the least common multiple of 10 and a(24).
4330
Let l be ((-84)/154)/(4/(-17)). Let n = l - -2/11. Let a = 1637309/150210 + -2/15021. Calculate the common denominator of a and n.
10
Suppose 4*w = 924 - 936, 4*t - 1905 = -5*w. Calculate the least common multiple of t and 2040.
8160
Let p = -180/67 - -10985/3216. Find the common denominator of p and -25/576.
576
Let f = -97 - -93. Calculate the lowest common multiple of 40 and (-10)/(-5) + (-2 - f).
40
Find the common denominator of (-5)/3300*91 - 1/(-6) and 167/42.
4620
Let l be 90248/12*((-36)/462 - 0). Let n = l + 586. Calculate the common denominator of n and 53/70.
770
Let u = 42615/6424 + -7/803. What is the common denominator of u and 61/350?
1400
Let q = -340328080417/3564 - -95490484. Let i = q - 76/81. What is the common denominator of i and 2/(-16)*(-79)/(-3)?
264
Let o = -706 + 706. Suppose o = -239*d + 254*d - 90. What is the lowest common multiple of 6 and d?
6
What is the common denominator of (-3 - (-213)/72)*(5845/(-392) - -11) and 24/77?
4928
Let z = -74747/618030 + 178/763. What is the common denominator of 31/330 and z?
8910
Let t be 20/(2 + (-9)/6). Suppose u - 2*r = -t, 60 = -u - 5*r + 2*r. What is the common denominator of -95/74 and (-2)/1 - ((-114)/u + -2)?
296
Suppose 177*y - 196*y + 2508 = 0. Calculate the least common multiple of y and 36.
396
Let q(d) be the third derivative of -3*d**4/8 + d**3/6 + 2*d**2. What is the lowest common multiple of q(-1) and (15 - 0)/((-7)/84*-10)?
90
Let j = 19347188153/46241 - 418399. Let h = 27143371/739856 - j. Let p = -1099/32 + h. Calculate the common denominator of p and -111/20.
160
Let o = 7097/13716 - 81/127. Calculate the common denominator of o and ((-2034)/90)/(576/30).
864
Let o = -5722235/12072214 - 2/78391. What is the common denominator of 61/308 and o?
308
Suppose 0 = -3*k - 4*g