852, 93*a - 91*a - 430 = -3*w. What is the lowest common multiple of n and a?
424
Suppose -7*u - 2 = -9. Let p = 37 - u. What is the common denominator of 3/10 and (4/p)/(4/(-534))?
30
What is the common denominator of (-609)/(-234) - (9/1 + -6) and -37/182?
546
Let p(w) = w**3 - 4*w**2 + 5*w - 4. Let k be p(2). Find the common denominator of 67/56 and (k/20)/(4/(-92)).
280
Let s(o) = o**3 - 7*o**2 - 7*o + 3. Let y be (-94)/(-12) + 2*3/36. Calculate the lowest common multiple of 9 and s(y).
99
Let o = 3153/7 - 13235/28. What is the common denominator of o and -131/48?
48
Suppose j + 3*j = 412. Let k = j + -305/3. Let v = -1301/185 + -132/37. Calculate the common denominator of k and v.
15
Calculate the lowest common multiple of 12 and (-4)/(24/(-30)) - -19.
24
Suppose 4*r - n + 2*n = -32030, -4*r - 5*n = 32022. Let s = r + 87941/11. Let b = s - -1553/66. What is the common denominator of b and 7/13?
78
Let g(q) = 2*q**2 - 2*q + 3. Let c be g(9). Find the common denominator of 19/3 and (33/36)/((-14)/c).
24
Let x = -726 + 966. Calculate the smallest common multiple of x and 12.
240
Let p = 4312/5 + -856. Let q = p + -73/5. Find the common denominator of -1/11 and q.
55
Let p be -98 - ((-5 - 0) + 9). Let b = p + 104. Calculate the lowest common multiple of 8 and b.
8
Suppose 0 = -q - 4*f + 28, -4*f + 32 = q + f. What is the lowest common multiple of 12 and 3*3*((-40)/q + 4)?
12
Let c = -12 - 5. Let k(b) = -b - 3. Let d(l) = -3*l - 9. Let t(z) = c*k(z) + 6*d(z). What is the smallest common multiple of 7 and t(-8)?
35
Let d = 451731/20 - 22581. What is the common denominator of d and 738/(-540) + 1/5?
60
Find the common denominator of (-9)/(-5)*10/60 and 131/234.
1170
Let b be ((-108)/(-68) - 4) + 2. Let v = b + 467/102. Let h = -21/68 + 2783/204. Find the common denominator of v and h.
6
Calculate the common denominator of -28/45 and (-1)/(-3) - 870/(-198).
495
Let j = -30 + 62. Calculate the common denominator of -65/14 and (-262)/j - -4 - -1.
112
Let g be 44/(-6)*(-30)/20. Let l(r) = r**3 - 12*r**2 + 12*r - 1. Let j(s) = -s + 6. What is the lowest common multiple of j(4) and l(g)?
10
Let h be (-2 - 0)*1/(-2). What is the common denominator of 145/(-66) + -1*(-4)/(-24) and h/(-4)*(-152)/3?
33
Let d(l) = l**2 + 11*l - 23. Let f be d(-13). Calculate the common denominator of -39/22 and (-5)/60*(f + -106).
132
Suppose 3*f = -4*s - s + 79, 16 = 2*f - 4*s. Let y = f - -1. Let i(j) = j**3 - 4*j**2 - j + 5. Calculate the smallest common multiple of y and i(4).
19
Let v be (3/(-6))/(1/6). Calculate the common denominator of -61*(-2)/20 + 1 and 18/20 - v/(-1).
10
Find the common denominator of 5*20/25 + 875/(-154) and (9/30)/((-54)/278).
990
Let g = -77 + 107. Calculate the lowest common multiple of g and 6.
30
Let u = -1661 + 1719. Calculate the smallest common multiple of 112 and u.
3248
Find the common denominator of 93/62*65/(-6) and 149/12.
12
Suppose -5*z + 2*z = 48. Let w = -14 - z. What is the common denominator of w - (117/(-21) + 3) and 107/6?
42
Suppose -8*p + 40 = -4*p. Let f(m) = m**3 - 2*m**2 - 3*m + 2. Let c be ((-15)/(-10))/(1/2). What is the smallest common multiple of p and f(c)?
10
Let a(t) = -t**3 - 11*t**2 - 17*t - 3. Let k be a(-7). Calculate the common denominator of (4/k*2)/((-6)/945) and 51/4.
4
Let w = 36 - 10. Let b = 96 + -112. Let x = b + w. What is the smallest common multiple of x and 16?
80
Find the common denominator of 24/11 and 6/580*3304/(-21) - -2.
1595
Suppose -2*k + 122 = 5*n, 5*n + 8*k - 5*k = 118. Calculate the common denominator of -31/3 and (-106)/26 + 4/n.
39
Let k = -8/57 + 461/1254. Let y be 4/6 - 49642/(-66). Let i = y - 1505/2. Find the common denominator of k and i.
22
Suppose 2*w = -4*f + 36, -3*w + 2*f = 11 - 49. What is the least common multiple of w and (11/4)/(7/56)?
154
Let r = -5/2058178 + 49143630663/5145445. Let p = r - 9562. Calculate the common denominator of -49/3 and p.
30
Suppose -34*a + 33*a + 18 = 0. Let m = 37 + -13. What is the smallest common multiple of a and m?
72
Let w = -252697777/18 + 14026548. Let i = w + 12223. Calculate the common denominator of i and -67/2.
18
Let a = -17 + 18. Let z be (-1 - 2)/a*-1. Suppose 2*o + 5*r - 95 = 0, -o + z*o - r - 89 = 0. Calculate the common denominator of 19/3 and o.
3
Let x = -19 + 13. Calculate the common denominator of 107/14 and ((-14)/(-6))/((-32)/x).
112
Find the common denominator of 796/273 - 78/507 and (-259)/35*1/3.
105
Let v(i) = 4*i - 8. Suppose n = 4*n - g - 109, -5*n - 5*g = -195. Calculate the lowest common multiple of v(4) and n.
296
Let q = 1447 + -17347/12. Let f = 33963/88 + -385. Find the common denominator of q and f.
264
What is the common denominator of ((-149)/(-408))/((-1)/(-2)) and 5 + 1 - (-2 - (584/48 - 10))?
204
Let w = 10456373/96 - 108922. Find the common denominator of -11/192 and w.
192
Suppose 405 = -249*o + 258*o. What is the least common multiple of 165 and o?
495
What is the common denominator of ((-38)/(-10) - 4) + (-446)/(-80) and 634/(-30) - 4/(24 - 4)?
24
Find the common denominator of -1/2 and ((-11)/(-55))/1 - (-554)/(-620).
62
Let v(h) = -h**2 + h**3 + 3 + 7*h**2 + 3. Calculate the least common multiple of v(-6) and -4*2/(-4)*(1 + 0).
6
Suppose 28*h + 288 = 40*h. Calculate the lowest common multiple of h and 18.
72
Let m(w) = -w**3 + 5*w**2 - 4*w + 3. Let a = -3 - -7. Let n be m(a). Suppose -4*q + n*q = -2. What is the smallest common multiple of q and 7?
14
Let p = -971 + 5797/6. What is the common denominator of p and 61/30?
30
Let f = 5519/1224 - 161/36. Find the common denominator of f and 14/289.
2312
Let w = -947/187 - -15/17. Let i(k) = -k**3 - 3*k**2 + 7*k + 1. Let v be i(-5). What is the common denominator of w and (3*-1)/(v/(-124))?
44
Let h = -33/424 - 23367/2120. Calculate the common denominator of (-5)/(280/108) + (-3 - -2) and h.
70
Calculate the smallest common multiple of (12 - -6297)*(-2)/(-9) and 4.
2804
Let a be (-2)/31*(-1 + 15/6). Let u = -521/62 + a. Calculate the common denominator of 25/8 and u.
8
Let w(t) = t**3 + 17*t**2 + 22*t - 72. What is the lowest common multiple of 56 and w(-15)?
336
Let j = 153 + -1447/9. Calculate the common denominator of -17/117 and j.
117
Let n(c) = c**2 - 8*c - 8. Let u be n(10). Let j(z) = -5 + z**3 - 4 - 5 + 4*z + 0 - u*z**2. Calculate the smallest common multiple of j(12) and 10.
170
Let j = 43 + -36. Suppose j + 17 = 6*o. Let x(n) = n**3 - 6*n**2 + n + 5. Calculate the smallest common multiple of o and x(6).
44
Let z be 993/2232*9 - (4 - 0). Let k = z - 485/1116. Calculate the common denominator of -85/12 and k.
72
Let k(s) = 8*s**2. Let n be k(-1). Let o(m) = 2*m**2 - 4*m + 24. Calculate the smallest common multiple of 12/n*(-8)/(-2) and o(4).
120
Let d be (2/(-5) + 2378/120)*-2. Let u = -1033/30 - d. Calculate the common denominator of ((-1)/(-8)*-7)/1 and u.
40
Let f be -10*(-2)/6*(-9)/1. Let x = -18 - f. What is the least common multiple of x and 6?
12
Find the common denominator of 101/6 and (((-864)/808)/9)/2.
606
Let p = -208 + 644/3. What is the common denominator of 97/12 and p?
12
Suppose 0*m - m = 0. Suppose m = -3*c - c - 8. What is the common denominator of 42/13 and (15/c)/(2/(-3))?
52
Let a = -5 - -114/25. What is the common denominator of -9/40 and a?
200
Suppose 5*d = -5*r + 305, d - 16 = -2*r + 45. Suppose 3*q - 48 = -2*u, -4*q + 4*u = -d + 17. Calculate the least common multiple of q and -12*2*(-1)/2.
84
Let l(u) = -u**3 + 42*u**2 - 21*u - 92. Calculate the least common multiple of l(41) and 6.
2184
Let u(f) = -99*f**3 + f**2 - f - 1. Calculate the smallest common multiple of u(-1) and 100.
100
Suppose 0 = -4*w + 2*w + 4*y + 2, 0 = -4*w - y + 13. Let s = -8 + 9. Calculate the smallest common multiple of s and w.
3
Let n = 3684420 + -165810979/45. Let f = n - -1348/5. Calculate the common denominator of 20/9 and f.
45
Let s(m) = -2*m - 43. Let z(f) = f**3 - f**2 - 2*f + 1. Calculate the least common multiple of z(2) and s(-27).
11
Let l(p) = -p**2 + 8*p - 5. Let t be l(6). Suppose 4*i = -2*r - 14, 0 = -r + 5*i + 28 - t. What is the least common multiple of 10/((-4)/8 + r) and 20?
20
Let b = 1703/1776 - 1/1776. Find the common denominator of b and 121/10.
120
Suppose 2*d - 4*b - 22 = 0, -d + b - 6 + 16 = 0. Suppose -d*n = -5