 (-2)/3 - (-4456336)/5900355. Let q = 2/6901 + m. Find the common denominator of 67/10 and q.
90
Suppose 257*l = 277*l - 40. Calculate the least common multiple of l and 3820.
3820
Let y = 2/102439 + -12805163/14751216. What is the common denominator of y and 115/486?
3888
Suppose 24 = 2*c + 4*a, 17*a = -5*c + 22*a + 90. Calculate the smallest common multiple of 416 and c.
416
Let v(g) = g + 3. Let u be v(-1). Suppose -9 = -u*l + 15. Let r(t) = 5*t**2 + 7*t - 12. Calculate the smallest common multiple of l and r(2).
132
Let f(i) = -238*i + 1690. Calculate the smallest common multiple of 481 and f(7).
11544
Let g(l) = 69*l + 16. Let d be g(4). Suppose -4*k + d = 248. What is the lowest common multiple of k and 4?
44
Let i = 54/1661 + -132497/1878591. What is the common denominator of i and 39/7?
7917
Let r(j) = -6*j - 110. Let t(x) = -1. Let n(z) = r(z) + 2*t(z). What is the lowest common multiple of n(-19) and 86?
86
Suppose 86*t = 59*t + 2700. What is the least common multiple of t and 96?
2400
Let v(m) = -31*m - 1. Let w be v(-1). What is the common denominator of ((-40)/(-24))/((-8)/66) and (-419)/90 - 12/w?
36
Suppose z - 5 = -1, 5*s = 2*z + 17. Let d = -13 + 17. Suppose 4*w - 8 = -d*l, l + 40 = 5*w - 0. Calculate the smallest common multiple of s and w.
35
Let k(g) = g**2 - 31*g + 120. Let r(q) = -q**3 - 6*q**2 - 4*q + 6. Let a be r(-6). Suppose 3*j - 4 = j. What is the lowest common multiple of j and k(a)?
90
Let d be 5 + (-28)/6 - 242978/(-16). Let p = d - 15189. What is the common denominator of 10*(-8)/16 + 304/42 and p?
168
Suppose 4*i + 988 = 5*l, -404 = 2*i - 2*l + 90. Let o = -241 - i. What is the smallest common multiple of 56 and o?
168
Let r = 89096 - 47310005/531. What is the common denominator of r and 10/183?
32391
Let q(m) = -4*m**2 - 6*m + 20. Let w be q(-8). Find the common denominator of 77/24 and (w/18)/(46/(-3)).
552
Let q be (-8)/(-52) + (-406557)/(-624) + 2. Let u = q - 654. What is the common denominator of -123/10 and u?
80
Let f = -1/21 + -181/168. Find the common denominator of f and ((-896)/24)/(6/63 + (-2480)/(-420)).
72
What is the common denominator of 596/6258*-30*(-2)/16 and -181/6960?
48720
Suppose 24*o - 87 = -4*h + 19*o, 5*o - 115 = -5*h. Calculate the common denominator of -53/2 and 287/h*2*2/(-306).
306
Suppose -235*b + 14*b = -4420. Calculate the least common multiple of b and 14160.
14160
Let b(l) = 2*l**3 + 43*l**2 + 92*l + 60. Calculate the smallest common multiple of 30 and b(-19).
1170
Suppose -9*c + 8*c = -3*h + 17, 4*h = 3*c + 21. Calculate the common denominator of -46/45 and 184/(-90) - 2*h/(-36).
45
Let q = 158 - 371. Let b = q - -294. What is the smallest common multiple of 21 and b?
567
Suppose -316560 = 39*x - 34*x. Let v = -570382/9 - x. Let l = v - -748/9. What is the common denominator of -51/11 and l?
33
Let h(s) = -7*s - 64. Let y be (3/(((-28)/12)/7))/1. Let m be h(y). What is the common denominator of 97/6 and 6 + (-4 - m) + 187/(-18)?
18
Let g(w) = -13*w + 86. Let n be g(6). What is the smallest common multiple of -4 + (n - 1) - -1 and 11?
44
Suppose -j + 5*t = -9, 0 = -3*j + 2*j - 4*t. Suppose 2 = -j*f + 6. What is the smallest common multiple of 15 and (f - -1)*(29/2 + -4)?
105
Suppose -193*m + 1236 = -187*m. Suppose 4*h = -2*u + m, 3*u + 21 = 6. Calculate the lowest common multiple of 45 and h.
270
Suppose 14*b = -4533 + 12395 + 9162. What is the smallest common multiple of b and 3040?
6080
Let v = -4233014/545 + 7767. Let b = v - 1642/3815. Calculate the common denominator of b and ((-2)/32)/(1/(-3)).
112
What is the common denominator of (2 - 981/492)/((-3)/236) and (-68)/(-22) + (-6 - -15)/(-3)?
1353
Find the common denominator of 99/878 and ((-7)/(14 + 35))/(6/(-847)).
2634
What is the smallest common multiple of 1402 and 8/(-28) + (47 - 51 - (-396)/14)?
16824
Let r = -1625 - -1685. Calculate the least common multiple of r and 25/2 + 9/(-18).
60
Suppose 0 = -12*z + 2 + 10. Let q = -21 + 49. What is the lowest common multiple of q and 30*z*(-56)/(-140)?
84
Let l = -1284643 - -3784558313/2946. Calculate the common denominator of -119/12 and l.
5892
What is the smallest common multiple of 24 - (-4*1)/(-2) and (4 - (-138)/(-2))/(3 - 91/28)?
2860
Let r be (10/20)/(34/120). Let h = r - 943/544. What is the common denominator of h and 357/36*(-2)/2?
96
Let y(h) = -h**3 + 150*h**2 + 328*h - 3640. Suppose 4*o = 32 + 12. What is the least common multiple of y(152) and o?
88
Let r = 978 + -892. Calculate the common denominator of (1/4)/((-9)/(-218)) and (43/r)/(6/(-304) - 0).
18
Let f = 5/603706 - -1205902155/70029896. Let c = 300/29 - f. Find the common denominator of c and -67/8.
8
Let v = 18119 - -1066. Let n = v - 671409/35. What is the common denominator of n and -1/170?
1190
Let p = -24485203529/4114780 - 30/205739. Let s = 5948 + p. Find the common denominator of s and 11/18.
180
Let i = 932 - 878. Calculate the least common multiple of i and 27.
54
Let g(s) = s**3 - 11*s**2 - 4*s - 3. Let z be g(10). Let f = z + 165. Let q = 10 + -8. What is the least common multiple of f and q?
22
Let t(k) = k**3 - 8*k**2 - 100*k - 12. What is the lowest common multiple of t(15) and 168?
504
Calculate the common denominator of 15/7172 and (-1677)/(-208) - 13 - -8.
28688
Let k(u) = 17*u**2 - 47*u - 52*u + 100*u. What is the lowest common multiple of 32 and k(1)?
288
Let m(r) = r - 1. Let l be m(-5). Let g be l*(-2)/4 - (-269696)/72. Let i = g + -3754. What is the common denominator of -73/2 and i?
18
Suppose -5*x + o + 3*o + 1596 = 0, 5*x + 2*o - 1602 = 0. What is the lowest common multiple of 3 and x?
960
What is the common denominator of -1 - -553*11/(-33033)*(-18)/4 and 25/121?
3146
Let l(f) = -f**2 + 6*f - 2. Let r(g) = 2*g + 12. Let q be r(-4). Let z be l(q). Find the common denominator of 131/6 - z/9*-3 and -85/24.
24
Suppose -82 = 14*l - 362. Find the common denominator of (-4)/8 + 405/l and -1/16.
16
What is the lowest common multiple of (-30 + 18 - -9) + 75 and 3072?
9216
Suppose 1545 = -7*y - 93. Let r be 8 - y - (2 + -1 + -4). Find the common denominator of 73/18 and 1 + (r/60 - -5).
36
Let r = -1548605/52 - -29782. Calculate the common denominator of -41/8 and r.
104
Calculate the common denominator of 95/438 and ((-16)/(-31536))/((-8)/(-4392)*-6).
1314
Let d = 216 - 183. What is the common denominator of (d - 36)*4/(-81) and -83/48?
432
Find the common denominator of -23/2 and 1*6/16 + (1515/(-7200))/(-101).
480
Let u be ((-8)/(-10))/(17/255). Suppose -36 = -u*q + 12. Calculate the lowest common multiple of q and 24.
24
Suppose 35*r = -23 - 12. Calculate the least common multiple of 66 and r*(2/(-2))/((-8)/(-24)).
66
Let m = 165 - 165. Suppose 6*p = -m*p + 120. What is the smallest common multiple of p and 40?
40
Let r(q) = -q**2 - 31*q + 12. Calculate the smallest common multiple of 1056 and r(-31).
1056
Suppose 0*p - 272 = -5*f + 2*p, -5*f + p + 276 = 0. Suppose -b = -4*x + 38, -80*b = -81*b - 6. Calculate the least common multiple of x and f.
56
Let z(l) = l**3 - 20*l**2 + 21*l - 38. Let s be z(19). Suppose s = 14*x - 13*x - 3. Calculate the lowest common multiple of x and 67.
201
Suppose 532*l + 26 = 533*l. Suppose -4*s - 3*r = 3, -5*s + 3*r = 2*r - 1. What is the smallest common multiple of l and 3 + (-3)/(-3) + s?
52
What is the least common multiple of 1035 and ((75/(-2))/(-25))/((-1)/(-50))?
5175
Let o = -15 + 23. Let j be (-12)/(-9) - (-582)/9. Suppose -6*b + j = 18. Calculate the smallest common multiple of b and o.
8
Let r = 124 + -126. What is the common denominator of (-70)/r*33/(-1452) and (-21)/(-16)*(-14)/(-35)?
440
Let q = 6144 - 98379/16. What is the common denominator of q and 214/(-80) - (-1)/(-4)?
80
Find the common denominator of -71/414 and ((-156)/644)/(54/(-45)).
2898
Let i be 423170/396 + (0 + 0 - 4). Let o = -1062 + i. Calculate the common denominator of o and -17/21.
126
Let i = -185191/10 + 37807/2. Let o = i + -22609/60. Calculate the common denominator of o and 95/72.
72
What is the common denominator of (-53)/((-848)/64) - 1802/492 and -25/26?
3198
Calculate the common denominator of (6/27 - (-244)/36)*(-2)/(-552) and -47/10.
1380
Let l be 0 - -3 - (3 + (-2 - 1)). Suppose 0 = u - 9 - l. Suppose -3*m = -57 + 9. What is the lowest common multiple