 Let p = -8006 - -111969/14. What is the common denominator of p and 3/(-4)*g/(-3)?
14
Suppose 5*h - 105 = -11*o + 6*o, -h + 81 = 4*o. Calculate the least common multiple of 40 and o.
40
Let v be -3 - -4 - -8235 - -4. Find the common denominator of 12/14 - v/(-448) and -121/40.
40
Suppose -28*x = -6416 - 7304. Let m = x + -450. What is the lowest common multiple of m and 184?
920
Suppose -27 - 21 = -8*u. Calculate the lowest common multiple of 45 and 184/u + (-10)/15.
90
Let s = -54 - -55. Let v be (19558/133860)/s - (-10)/(-75). Let a = -156679/127167 + v. What is the common denominator of a and -101/12?
228
Let b = -77219514647/4710846 - -114743/7. Let k = -9005623357/3701379 + b. Let c = 2434 + k. Find the common denominator of c and -97/12.
132
Suppose 51*b - 1024 = 55*b. Let i = b + 289. Calculate the smallest common multiple of i and 96.
1056
Calculate the least common multiple of 2009/(-98)*(-8 + 0) and 2.
164
Suppose 0 = z - 4*d + 3, 0 = z - 2*d + 1 - 0. Find the common denominator of 5/(-15) - (-4 - 32/168) and (z + -85)*(-8)/132.
77
Let z = -3196133 + 19304643373/6040. Find the common denominator of -67/28 and z.
42280
Let c be (1/4 - (-110)/40) + -4. Let b(w) = 213*w**2 + w - 1. Let l be b(c). Suppose l - 147 = 2*f. What is the least common multiple of 12 and f?
96
What is the common denominator of (-2)/12*891/66 and 54/707?
2828
Suppose -6*f = 3*l - f - 1740, -2309 = -4*l - 3*f. Suppose 1225 + l = 15*p. Calculate the lowest common multiple of p and 96.
480
Let q(n) = 195*n**2 + 3*n - 2. Let a be q(1). Calculate the common denominator of -131/70 and (-2)/(-1) + 92/a + -3.
490
What is the common denominator of -2*(-1498)/(-3528)*6/4 and 11/48?
336
Let u be (-4 + 14)*(-128)/10. Calculate the least common multiple of u/(-22) - 16/(-88) and 9.
18
Let x(w) = -9*w - 2*w**2 + 5 - 1 - 7*w**3 + 15*w**3 - 7*w**3. Let s be x(4). Suppose s = 6*l - l - 80. What is the lowest common multiple of 6 and l?
48
Let x = -76/41 + 3133/164. Let l be 3991/(-8060) + -2 + 6. Let k = l - 166/31. What is the common denominator of k and x?
20
Let o be 1418260/(-1008) + 3/6*0. Let m = 2815/2 + o. What is the common denominator of -89/2 and m?
252
Let b be (-3955128)/45 + 7 - 3/24. Let w = 87886 + b. Calculate the common denominator of 17/45 and w.
360
Calculate the common denominator of 0/4 + (-20)/1520*22/7 and -55/874.
6118
Suppose 21*y = 22*y - 12. Suppose 4*f + y = 8*f. Calculate the lowest common multiple of 1 and f.
3
Let w = -379/66 - 12/11. What is the common denominator of w and -10 + (-297)/55 + 10?
30
Let n = -5837795483/140 + 41698712. Let c = n + -874/5. Calculate the common denominator of 127/36 and c.
252
Let t = 8537 - 68349/8. Calculate the common denominator of 43/1758 and t.
7032
Let z = 26 + -18. Let x = z - 0. Let f = x - 43/6. Calculate the common denominator of f and -65/22.
66
What is the least common multiple of 129264/126 - 30/630*(-1 + -1) and 30?
5130
Let g = 1464/7 - 13414/63. Let x = 20/7840037 - 4692285667691/1207365698. Let j = x - -3886. Calculate the common denominator of g and j.
1386
Suppose -3*s + 3*h = 6, -3*h - h = -2*s - 10. Suppose z = s - 61. Calculate the common denominator of 89/14 and (2/6)/(z/25).
252
Suppose 4*u + v + 4*v = 64, 4*u - 64 = -2*v. Calculate the common denominator of (u/320)/(2/83) and 71/40.
40
Suppose v - m = 2, 5*v = 4*m - 0 + 11. Suppose v*l + 9 = 2*r, 2*r - l = -0*l + 11. Calculate the least common multiple of 2 and r.
6
Find the common denominator of 59/54 and (-8)/(-6) - (-224)/(-728).
702
Let x(v) = -2*v**3 - 1 + 3*v**2 + 6*v**3 - 3*v**3 + 3. Let d(a) = 2*a + 5. Let f be d(-4). Calculate the smallest common multiple of 7 and x(f).
14
Suppose 14*k - 73 = -3. Suppose -k*g - 4*o + 170 + 26 = 0, 3*o - 12 = 0. Calculate the smallest common multiple of 10 and g.
180
Let s = 1821 + -1617. What is the smallest common multiple of s and 306?
612
Suppose -5 - 19 = -8*b. Suppose -2*w = -v - b, 0*v = -2*v - 5*w + 3. What is the lowest common multiple of (-40)/50*(-80)/((-1)/v) and 2?
64
Let n(q) = -3194*q + 60. Let g be n(5). Let i = -286499/18 - g. Find the common denominator of 61/24 and i.
72
Let o = -434 + 716. Suppose 0 = 7*n - 1010 + o. Calculate the least common multiple of n and 16.
208
Let c(y) = 1255*y + 10050. What is the lowest common multiple of (-18)/(-2)*(0 - -1) and c(-8)?
90
Let b = 106 - 224. Let t = b - -136. Calculate the lowest common multiple of 318 and t.
954
Let d(t) = t**3 - 13*t**2 - 3*t + 123. Calculate the smallest common multiple of 50 and d(13).
2100
Suppose 0 = -4*s + 12 + 68. Suppose -4*p + 5*p = s. Calculate the lowest common multiple of (0 - 8/3)*(-55 - -34) and p.
280
Let t(m) be the first derivative of 5*m**2 - 3*m - 22. What is the smallest common multiple of t(1) and 39?
273
Let p = 27447 - 27423. Calculate the least common multiple of p and 20.
120
What is the common denominator of 63/40 and 16 - (-16 - (-322365)/10080)?
3360
Let u be (72/2)/(-6) - -4871. Let f = -194583/40 + u. What is the common denominator of f and 59/15?
120
What is the smallest common multiple of 18 and (-2)/((-96)/32262) + (-2)/16?
2016
Suppose -2*b - h - 3*h + 372 = 0, 2*b = -h + 366. What is the common denominator of 1233/b - (-14)/91 and (-633)/(-126) - -2 - (-2)/(-3)?
14
Find the common denominator of (4/5)/((-572)/130) + (-2295)/(-8932) and 121/696.
4872
Let g(s) = -9*s**3 - s - 6. Suppose 5*w + 2 = z, -5*z + 8 = -z - 4*w. Let o be g(z). Let a = o - -94. What is the smallest common multiple of a and 20?
140
Let k be (-10)/45 - (-32)/(-18). Let u be (2/k)/((-3)/(-2) + -2). Calculate the common denominator of u/4*(-390)/63 and -115/6.
42
Let k(c) = c**2 - 2*c - 2. Let w be k(-6). Find the common denominator of (97/2)/((-9)/(45/20)) and w/(-16) + -1*2.
8
Let d(c) = -11*c + 6. Let w be d(6). Let s be ((-198)/(-14))/(12/56). Let m = w + s. What is the lowest common multiple of m and 21?
42
Let f(a) = 1 + 3 - a**2 + 5*a**3 + 7 + a - 15. Let d be f(2). Suppose n = -0*n - 2, -2*t + d = -3*n. Calculate the smallest common multiple of 8 and t.
56
Let c = -77669/75504 - 1/5808. What is the common denominator of (-406)/6*(-3)/14 and c?
104
Suppose 138 = 5*v + 3*q, 4*v + q - 84 - 32 = 0. What is the smallest common multiple of 60 and v?
60
What is the common denominator of -10/371 and (-729)/(-162) + 5672/(-1176)?
15582
Let q(v) = -2*v**2 - 140*v + 1601. What is the common denominator of q(10) and -6/19?
19
Let t be (240/(-70))/((-4)/98). Let m be (-15 - -14)*6*(-8)/(-6). Find the common denominator of 64/3 and (m/(-6)*t/(-8))/2.
3
Calculate the common denominator of (3/1044)/((-2)/1968*-12) and -37/870.
870
Let y = 345 - 486. Let r = 168 + y. What is the smallest common multiple of 27 and r?
27
Suppose -6*z + 40 = -16*z. Find the common denominator of 3/z - (-38)/(-200) and -11/10.
50
Let x = -331/798 + 17/21. Let q = x + -655/456. What is the common denominator of q and 47/32?
96
Let c = 6686397/176 - 37991. Let s = 1071 + -34197/32. Calculate the common denominator of c and s.
352
Calculate the lowest common multiple of 225 - 1/2*-9*44/33 and 99.
693
Let n(k) = 6*k**2 - 2. Let h = -101 - -101. Suppose h = -11*p + 13 + 207. What is the lowest common multiple of p and n(2)?
220
Let f = 2418/119 - 365923/17136. Calculate the common denominator of -17/312 and f.
1872
What is the smallest common multiple of 1043 - 10 - (21/(-9))/((-1)/3) and 342?
1026
Let c = -15452 + 15456. Let n = -2 - -6. Suppose n*z - 140 + 12 = 0. Calculate the lowest common multiple of z and c.
32
Find the common denominator of 103/306 and (-76)/2907*(-6)/(-60)*-93.
1530
Let j = 26/5 + 33/10. Let w = -44 + 1093/24. Calculate the common denominator of j and w.
24
Calculate the common denominator of 55/684 and (-12)/40*32/1368*(4 + 12).
3420
Suppose -12 = 3*o + o, -4*r + 4*o + 190084 = 0. Let l = -260876765/4 - -6004537085/92. Let f = l - r. Calculate the common denominator of f and 1/20.
460
Let f = 5863 - 5625. What is the smallest common multiple of f and 1820?
30940
Let o = -44/815 + -33004/113285. Calculate the common denominator of o and -21.
139
Suppose o = -5*y - 135, 2*y - 3*o = -43 - 28. What is the lowest common multiple of (48/y)/((-2)/63) and 10?
270
Suppose -2*l + 2*s - 966 + 4882 = 0, 3*l + 3*s - 5880 = 0. Calculate