198
Let n = -63048 + 19544777/310. What is the common denominator of n and -30/11?
3410
Suppose 4*z + 5*x + 1622 = 3*x, -1213 = 3*z - 2*x. Calculate the lowest common multiple of 12/28 - z/35 and 22.
132
Let s(b) = -b**3 - 8*b**2 - 7*b + 4. Let n be s(-7). Suppose 2*r + n*r = 18. Calculate the common denominator of 37/17 and (-284)/(-16)*2/r.
102
Let a = 1/37689 + 46859987/113067. Let t = a - 415. What is the common denominator of 16/3 and t?
9
Calculate the least common multiple of (-13 - (-168)/15)/(2/(-40)) and 11.
396
Suppose 0 = v + 5*b + 7, -3*v - v - 4*b = 12. Calculate the least common multiple of 178/8 - 1/4 and v*3*(-2)/3.
44
Calculate the common denominator of -2/65 and (-2)/(-5) - (-279)/(-495).
715
Let a = 92 - 90. Suppose -4*b = 4*r - 20, a*b + 4*r + 50 = 5*b. What is the least common multiple of 4 and b?
20
Suppose k - 12 = -2*k. Calculate the smallest common multiple of 71 + (8 - 4) - 1 and k.
148
Let c = 1043/60 + -93/10. What is the common denominator of c and -99/92?
276
Let c(a) = a**2 + 10*a + 27. Calculate the least common multiple of c(-7) and 468.
468
Let n(b) = -b**2 - 6*b + 25. Let p be n(-9). Find the common denominator of ((-25)/610)/(p/(-10)) and 23/18.
1098
Suppose -585 = -2*g - 3*a, 4*a - 515 = -2*g + 75. Calculate the lowest common multiple of g and 21.
1995
Suppose -m + 6 = 4*t, -4*t - 9 = -m - 9*t. What is the common denominator of 3/20 and m/(-8)*(-370)/(-15)?
20
Let f be (-47826)/120*(-20)/(-24). Let l = f + 328. Calculate the common denominator of -52/11 and l.
88
Let q be 218/5 + 6/(-10). Let p = q - 41. What is the least common multiple of 36 and p?
36
Let f(v) = 5*v**3 - 67*v**2 - 17*v + 34. Calculate the least common multiple of 18 and f(14).
1152
Find the common denominator of 37/12 and (-12)/(-48) + 20/(-22).
132
Let g(q) = q**2 + 10*q + 12. Let j be g(-9). What is the common denominator of -3/22 and (j/54*-3)/2?
132
Suppose -1564*m + 16 = -1560*m. Let q(y) = y**3 - 7*y**2 + 2*y - 10. Calculate the least common multiple of m and q(7).
4
Let p(t) = -375*t - 2. Let k be p(-4). Let l = 12003/8 - k. Calculate the common denominator of l and (-14)/(-35) + (-267)/230.
184
Suppose 14*b - 90 = 5*b. What is the least common multiple of b and 3?
30
Suppose 5*d - 2*d - 100 = 2*a, -5*d - 5*a + 125 = 0. Calculate the lowest common multiple of d and 6.
30
Suppose -3*j + 133 = -2*a, 176 = 4*j - 6*a + 2*a. Let c = j + -29. Calculate the lowest common multiple of 11 - 18/(-3 - 3) and c.
112
Let s be (-2580)/24 + (-6)/4. Let x = s - -60. Let b = x - -89. Find the common denominator of b and -38/13.
13
Let s = -3/4633 + -606887/55596. Calculate the common denominator of s and -47/242.
1452
Let o = -221859/10 + 22215. Let h = o - 1618/55. Calculate the common denominator of 73/4 and h.
44
Let d = 2/3373 + -155172/23611. What is the common denominator of d and -1/1747?
12229
Let p = 2 - 2. Let z(o) = -o**2 + 6. Let l(j) = -7*j + 40. Calculate the lowest common multiple of z(p) and l(4).
12
Suppose -4*z - 9 = -7*z. Suppose -2*b = x - 76, -z*b + 0*b - 4*x = -104. What is the least common multiple of 6 and b?
120
Let x be (112/(-12))/((-2)/3). Let s = -2 + x. Let u = s - 9. Calculate the least common multiple of 1 and u.
3
Let c = -153538 + 24873013/162. Calculate the common denominator of c and 95/198.
1782
Let d(o) = -2*o + 1. Let h = 7 + -35. Let l = h + 42. What is the smallest common multiple of l and d(-3)?
14
Let o = -18 - -30. Let p be (-770)/(-21)*12/(-10). Let a = -40 - p. Calculate the smallest common multiple of a and o.
12
Let v = 28720/7 - 4062. Let r = -41 + v. What is the common denominator of r and 1/4?
28
What is the common denominator of 4/78*693/56 and 5/14?
364
Suppose 2*l - 4*l = -14. Let i = 20 + l. Calculate the lowest common multiple of (-4 + 2)/((-6)/i) and 8.
72
Let h be 2/2 + -5 + 2920/728. Let w = -3/6313495 + 58039960081/1149056090. Let r = h - w. Calculate the common denominator of r and -5/2.
2
Suppose -y + 105 = -2*g, 84 = y + g + 4*g. What is the smallest common multiple of 27 and y?
297
Let x = -20525/1812 - -62/151. Calculate the common denominator of x and 29/4.
12
Suppose 5*f - 5*w - 1216 = 329, 2*w = 5*f - 1536. What is the lowest common multiple of 16 and f?
2448
Suppose 24 = 2*d + 2*y + 2*y, d + 4*y - 16 = 0. Let o be (-76)/(-12) + d/(-6). Suppose -3*m - o + 23 = 0. Calculate the smallest common multiple of 10 and m.
30
Let x be ((-10)/(-15))/((-4)/(-18)). Suppose -2 + 4 = v + w, 4*w - 9 = -x*v. Calculate the least common multiple of 18 and 154/7 + v*2.
180
Calculate the common denominator of (2/(-3090))/((-42)/15225) and -47/6.
618
Suppose 12 = 43*m - 40*m. Find the common denominator of (-1 + 6/m)*273/6 and 29/24.
24
Let h = -414643/25516 - -2/6379. Let p be 6/8*(5 - 9). Calculate the common denominator of 9/p + (-305)/50 and h.
20
Let q be 5 - 1 - (5 - 2 - 3). Suppose 0 = 3*j - 5*j + 6, -33 = -q*h + j. What is the lowest common multiple of h and 12?
36
Let w(y) = 2*y**3 - 5*y**2 + 4*y - 3. Let i be w(3). Let u = 5 - i. Let c = -3 - u. Calculate the least common multiple of c and 2.
10
Let n = 47 + -31. Suppose 3*a - n = a. Calculate the least common multiple of a and ((-18)/(-15))/((-39)/(-650)).
40
Let d = 463/36 - 51/4. Let i = -5/18 + d. Let t = 4267/10 - 434. What is the common denominator of t and i?
30
Let q = 6366/7 + -19039/21. Calculate the common denominator of -97/70 and q.
210
Let z = -1/4152 + 7963/20760. What is the common denominator of 14/45 and z?
180
Let t = 17234 + -1102913/64. What is the common denominator of 33/16 and t?
64
Suppose 0 = 14*w - 18*w - 120. Find the common denominator of 69/22 and 102/w - -3 - (-57)/(-70).
154
Let d(u) = -15*u**3 - 2*u**2 - 5*u - 2. What is the smallest common multiple of 46 and d(-1)?
368
Let x = -10/42321 - -28284595/253926. Let f = 112 - x. What is the common denominator of f and -81/20?
180
Let o(m) = -m**3 + 5*m**2 - m + 7. Let p be o(5). Suppose -40 = 2*f - 6*f. Suppose f = p*y - 6. Calculate the lowest common multiple of y and 4.
8
What is the common denominator of 116/14 + (-16)/32 and (-11)/(-6) - (-13 + 10)?
42
Let n(z) = -2*z - 2. Let y be n(-2). Let l = 469/60 - -104/15. Find the common denominator of l and ((-3)/(-132))/(y/348).
44
Suppose 0 = 5*a + 190 + 125. What is the common denominator of (6/a)/(4/(-6)) and 39/11?
77
Let k be 0 - (-1)/(2/6). Suppose 0 = c - 5*c - k*o - 35, -3*o = -c + 10. Let g = c + 16. Calculate the least common multiple of g and 5.
55
Suppose -3*o - s + 906 = 189, 255 = o - 5*s. What is the lowest common multiple of 100 and o?
1200
Let m(j) = j**3 + 23*j**2 - 10*j + 34. What is the smallest common multiple of m(-23) and 4?
264
Let f(k) = -2*k**3 - k**2 - 4*k - 8. Let j be f(-3). Calculate the common denominator of 107/20 and (-4)/(-14)*j/(-12).
60
Let h be 2/(-6) + (-207)/27. Let f be (-162)/h - 2/8. Suppose -4*v = f, 3 - 1 = 2*g + 2*v. What is the smallest common multiple of 22 and g?
66
Let t be (-5 + 3)/1 - -6. Suppose -f + t*f = 18. Let w = 33 - 17. Calculate the smallest common multiple of f and w.
48
Let h = 39 - 33. Suppose -4*m - h = 2*k, 0*k - 4*k + 24 = -m. Calculate the lowest common multiple of k and 6.
30
Suppose 41*q - 528 = 29*q. Calculate the lowest common multiple of q and 121.
484
Suppose 0 = 159*v - 156*v - 9. What is the lowest common multiple of v and (2 + -14)*1/(-2)?
6
Suppose -3*b + 8*b + 301 = 2*k, -2*k - 2*b = -280. What is the least common multiple of 6 and k?
858
Let w = -1423 - -1428. What is the lowest common multiple of 39/33 + (-4)/22 and w?
5
Let k = 57577424 - 55965275305/972. Let o = k - 5/243. What is the common denominator of o and 42/(-2)*(-7)/(-15)?
20
Suppose 0 = -3*u + 5*x + 2 + 13, -5*u + 3*x = -25. Suppose 12 = -4*f - 8, u*h = -5*f + 20. Calculate the least common multiple of h and 9.
9
Let r = 1/54 + 4/27. Calculate the common denominator of -125/48 and r.
48
Let q = -4472 + 214705/48. Calculate the common denominator of q and -29/558.
4464
Suppose 20 = -2*c + 6*c. Suppose -i - c = 4*i, -q - 3*i = -226. Calculate the common denominator of -59/20 and q/12 - 2/8.
60
Suppose -3*u + 9 = -2*u. Suppose 114 - 134 = -10*t. What is the least common multiple of t and u?
18
Let x = 7 + -3. Calculate the common denominator of (-387)/24*(-1 - (-13)/15) and 