Suppose 0 = 3*q - 2*x - 18, 0*x = q + x - 1. Calculate the least common multiple of (q/16)/(2/8) and 7.
7
Let f(l) = -l - l**2 + 7*l**2 - 1 - 2*l**3 + 3*l**3. Let o be f(-6). Suppose 0*t - o*t = -10. Calculate the lowest common multiple of t and 8.
8
Find the common denominator of -83/66 and (-10)/36*(-11 + 318/(-12)).
132
Let g = 3479/4752 + 20531425/4752. Let m = 4318 - g. Let w = -46429/6 - -7717. Find the common denominator of m and w.
66
Let n be ((-1454)/5)/(36/345). Let q = n - -2767. Let b = -1211471/143940 - 2/11995. Calculate the common denominator of q and b.
12
Suppose -5161 = -3*i - 2*o, 2*i - o - 3434 = o. Let j be (-6)/i*15746/12. Let z = j - -14/573. Find the common denominator of 17/7 and z.
63
Let b = 29548 - 1181999/40. Calculate the common denominator of b and -131/70.
280
What is the common denominator of (-1490)/216*(-9)/(-30) and -55/96?
288
Let j(w) = -4*w**3 - w**2 - 3*w + 4. What is the smallest common multiple of 57 and j(-2)?
114
Calculate the common denominator of 101/4 and (2 + 5)*34/272.
8
Let t = 7 - 5. Let l(n) = n + 21. Calculate the smallest common multiple of t/((-1)/2 + 1) and l(-17).
4
Calculate the common denominator of (-43)/129*(-89)/(-4) and 22/21.
84
Suppose k = 2*k - 16. Suppose 0*g - 5*d - 11 = -g, -2*d + k = 3*g. What is the lowest common multiple of g and -1 - (-1)/((-3)/(-39))?
12
Suppose 91 = 104*n - 117. Suppose -4*g = -5 + 13. Calculate the lowest common multiple of n and 19/3 + g/6.
6
What is the common denominator of -59/10 and (5/(-464))/(-7 - -6)?
2320
What is the common denominator of 8 - (-1 - -3) - (-8995)/(-1638) and 179/30?
1170
Calculate the common denominator of (-282)/(-24) - (2 - 6) and 55/8.
8
Let v = 564931/18 - 31377. Let h(w) = -9*w. Let g be h(-1). Calculate the common denominator of 2/g - (-4035)/(-2970) and v.
198
Let n = -20 - -40. What is the lowest common multiple of n/1*(-4)/(-8) and 10?
10
Suppose -5*s = -42 - 33. Let u(x) = 57*x**3 + x**2 + x - 1. Let a be u(-2). Calculate the common denominator of 8/5 and a/s + (-2)/3.
5
Suppose 19 = 5*o - 2*a, 5*o + 0*a = -5*a + 5. Let n = 5 + o. Calculate the least common multiple of n and 11.
88
Find the common denominator of (-245)/(-24) + 4 + -8 and -49/15.
120
Let m = -2/887 + -26596/6209. Let s = 549835 - 7173988/13. Let g = s - -2009. What is the common denominator of g and m?
91
Let n = 563/222 + 11/37. Let q(m) = -176*m**2 - m - 1. Let u be q(-1). Let a = u + 541/3. Find the common denominator of n and a.
6
Suppose 2*a + 3*b - 55 = 11, -a + 28 = 4*b. What is the least common multiple of a and 9?
36
Let t = -18 - -14. Find the common denominator of 13/2 and (2/(-8))/(t/47).
16
Let l = -318 + 324. Calculate the lowest common multiple of 58 and l.
174
What is the common denominator of ((-1197)/(-152))/21 + (-5)/1 and -75/16?
16
Let h(c) = c**2 + 4. Let w be h(6). Suppose 42*s - w*s - 26 = 0. What is the lowest common multiple of s and 6?
78
Let z = -2 - -6. Calculate the smallest common multiple of z and 30/(-45)*((-54)/4 + 0).
36
Let x = 1/406019 - -541629325/8526399. Let y = x - 215/3. Find the common denominator of 2 + -3 + (-134)/12 and y.
42
Let p = 115/193 - 11885/10229. Let v = -3311/424 + p. Calculate the common denominator of -113/18 and v.
72
Let j(h) = -6*h. Suppose 10*u - 48 = 2. Calculate the lowest common multiple of 14/35 + 48/u and j(-1).
30
Let c = 12 - 3. What is the smallest common multiple of 98 and c?
882
Calculate the common denominator of -40/9 and (-96)/(-18)*14/847.
1089
Suppose 2*o + 32 = -i + 91, -5*o + 5*i = -170. Let n = o + -13. Calculate the lowest common multiple of n and 6.
18
Suppose 0 = -z + 2*z. Suppose 4*d + x + z*x = 30, 3*d - 5*x = 34. Calculate the lowest common multiple of (15/(-4) - -7)/(1/8) and d.
104
Calculate the common denominator of (-18)/(-54)*82/6 and (-20)/66 + 3 - 3.
99
Let w = -1/2268 + -19151/2268. What is the common denominator of w and -19/294?
882
Let t(m) = m**2 - 8*m + 4. Calculate the least common multiple of (-5)/((-50)/(-55))*(-4)/11 and t(8).
4
Let r be (196284/8920)/11 + -2. Let i be 0/(-2) + 9634/(-892). Let v = i + r. Calculate the common denominator of v and 56/11.
55
Let p = -37 - -43. Calculate the common denominator of -149/24 and p*(65/40 - 5).
24
Let y = 1512 - 1260. What is the least common multiple of 18 and y?
252
Let b = -7098/178511 - 1/2606. What is the common denominator of b and -55/4?
548
Suppose 0 = -5*x - 52 - 8. Let t = 1/274 - -4999/411. Calculate the common denominator of (-7 - -4) + (-230)/x and t.
6
Let y be ((-144)/40)/((-4)/30). Let u = y - 13. Calculate the least common multiple of u and 18.
126
Suppose 4*d - 5*c - 32 = 0, -c + 3*c - 21 = -d. Suppose -6*t = -2*t - 44. What is the lowest common multiple of t and d?
143
Calculate the least common multiple of -9*42/(-45) - 6/15 and 190.
760
Suppose 3*w = 5*h - h + 313, -w = -4*h - 323. Let k = h - -315/4. Calculate the common denominator of 55/6 and k.
12
Let q = 30715/66 - 2803/6. What is the common denominator of 79/99 and q?
99
Calculate the common denominator of 47/4 and ((70/(-6))/(-5))/((-138)/368).
36
Let x = 8 - 5. Calculate the common denominator of 3/((-126)/255) + (-2)/7 and 186/32 + x/6.
112
Let j(p) = 7*p - 11. What is the smallest common multiple of 10 and j(3)?
10
Let u(o) = o**2 - 3*o. Let y be u(4). Suppose 116 = 2*b + 2*b. Suppose 3*s + 5*q = 2*s + b, -y*s = -4*q + 4. Calculate the least common multiple of 8 and s.
8
Suppose -5*k + 423 = -182. Let p = -61 + k. Suppose -f = -3*r - 12, 5*f + 0*r - 4*r - p = 0. Calculate the lowest common multiple of f and 2.
12
Let d = -64 + 88. Let k = -12 + 36. Suppose -3*j + 4*h = j - d, -4*j = 4*h - k. What is the least common multiple of j and 15?
30
Suppose -3*p = -2*d + 83, d - 5*d = -4. Find the common denominator of -1/12 and p.
12
Let t = 82 - 76. What is the lowest common multiple of t and 66?
66
Let z = 35330739/10 - 3527418. Let q = 5650 - z. Calculate the common denominator of -33/25 and q.
50
Let l = -3 - -9. What is the common denominator of (-316)/l*5/(-80) and ((-5082)/12)/11 - 3?
24
Calculate the common denominator of 244/8*(3 + 3595/(-1200)) and 62/15.
480
Suppose d + 3*d = 168. Calculate the lowest common multiple of 2/(-8) + 9/((-252)/(-343)) and d.
84
Let x(f) = f**2 + f + 14. Let g be 0/((-6)/2 - -1). Suppose 2*a - 19 = -q + 3*a, -3*q + 64 = 4*a. What is the lowest common multiple of x(g) and q?
140
Let g = -2171/5 + 426. Calculate the common denominator of g and (-370)/(-50) - -1*(-1)/(-2).
10
Find the common denominator of -37/12 and 3/1 - (-476)/414*-3.
276
Suppose 2*q - 11 = -5. Let x be 850/q + 6/9. Find the common denominator of (x/(-120))/(6/15) and 61/5.
60
Let y be 9*(40/(-15))/(-2). Suppose 17*h = 15*h + y. Calculate the least common multiple of h and 16.
48
Let u be 5/((-25)/(-6))*(-2 - -17). Let f = -8 + u. Calculate the least common multiple of 2/3 - 160/(-12) and f.
70
Suppose r - 4*r + 645 = 5*m, -122 = -m - 2*r. Let i = m + -48. Calculate the least common multiple of 18 and i.
252
Suppose 0*m = -5*w - m - 44, -2*w = -2*m + 20. Let p be 6/(-9) + (-6)/w. Suppose p = -5*v + 4 + 1. What is the smallest common multiple of 10 and v?
10
Let o be (-1)/(-2) - (-4)/8. Suppose 5*b - k - 27 = 0, 5*k + o = 2*b + 4. What is the lowest common multiple of b and 1078/91 - (-6)/39?
12
Let a = -10132/7 + 1444. Let c = -493/22 - -98/11. Find the common denominator of c and a.
14
Let b(z) = 4*z - 2. Let q be b(1). Suppose 4*j + 1 = 3*w, -j = -7 + q. What is the lowest common multiple of 7 and w?
7
Let s = -168989/16 - -10556. Calculate the common denominator of s and -131/18.
144
Let v be (-4)/(-22) - (-171004)/132. Let b(x) = 643*x + 2. Let s be b(-2). Let y = s + v. What is the common denominator of y and -26?
3
Let z be 2 - 1 - (-17425)/14. Let y = 1907 - 3154. Let i = y + z. Calculate the common denominator of -109/10 and i.
70
Let z = 351/10070 - -3/106. Let l = -1312/285 - z. Calculate the common denominator of l and -7/4.
12
Let x = 711 + -689. Calculate the least common multiple of x and 14.
154
Let i be (166/24)/(388/(-823213832)). Let t = -14674964 - i. Let q = -1/97 + t. Calculate the common denominator of q and 69/4.
12
Let c = 96 - 78. Calculate the least common multiple of 1 and (4/6)/(2/c).
6
Let z = 35