e -3*q + 144 = -0*q. Let w = 854472 + -854256. What is the lowest common multiple of w and q?
432
Suppose 10*u = 2*s + 7*u - 672, 3*s - 1008 = -5*u. What is the least common multiple of 168 and s?
336
Let q(x) = 10*x. Let v = 30 - 31. Let m be q(v). What is the least common multiple of 9 and (m - -7)*4/(-3)?
36
Let c be 18/3*14/(-6). Let l(b) = -b**2 - 12*b + 29. Let u be l(c). Find the common denominator of 12*(125/165 - u) and -127/18.
198
Suppose 3*r - 8 = -0*z - 5*z, -4*z + r = -20. Let n be ((-14)/(-10))/((-2)/(-10)). Suppose -n = z*j - 47. What is the lowest common multiple of 3 and j?
30
Let r(g) = -g**2 + 6*g - 2. Let p be r(6). Let v = 1/16 - p. Find the common denominator of v and 448/(-96)*(-2 + (-1085)/(-460)).
368
Let a be 8/64 + ((-5426)/16 - 1). Let r = -229 - a. What is the smallest common multiple of r and 9?
333
Let n(h) be the third derivative of h**4/4 + 28*h**3/3 - 28*h**2 - 1. What is the smallest common multiple of n(-7) and 8?
56
Suppose 58214 = -7*h - 21264. Let k = -204493/18 - h. Calculate the common denominator of k and ((-2)/(-36))/((-4)/262).
36
Let x = -63 - -142. Let i = x + -73. Suppose i*o - 243 = 153. Calculate the least common multiple of o and 14.
462
Let k(o) = -12*o + 31. Let s be k(-5). Let y = -84 + s. Suppose 0 = y*z - 3*z - 72. Calculate the smallest common multiple of 12 and z.
36
Suppose -513 - 1500 = -116*p - 157. What is the lowest common multiple of 1224 and p?
2448
Let z be (-41709)/(-52)*250686/756. Let v = -265970 + z. Let i = v - -10/91. What is the common denominator of -77/16 and i?
16
Let j(o) = -o + 47. Let v be j(10). Suppose -34*c - 690 = -v*c. Find the common denominator of c/32 - (8 + -4) and 44/7.
112
Let w(d) = 255607*d**3 - d**2 + 3*d - 4. Let t be w(2). Let u = -229022139/112 + t. Let q = u - -3/112. Calculate the common denominator of -3/7 and q.
14
Let s = 4492897/70 - 64183. Let i = 1998/13 + -14467/91. Find the common denominator of s and i.
70
Calculate the common denominator of 75/736 and (177/42)/((-238)/(-68)*(-92)/28).
5152
What is the least common multiple of 2457 and ((-30)/400*10)/((-2)/240)?
24570
Suppose -4*f = 3*u - 124, 2*f = f - u + 32. Let h = -234 + 228. Calculate the least common multiple of f and 1960/110 - h/33.
252
Let r(b) = 2*b**2 + b + 8. Let t be r(3). Let w = -19 + t. What is the lowest common multiple of w and (-7)/4 - (-2915)/212?
60
Let u(a) = -11*a**3 + 275*a**2 + 2*a + 11. What is the smallest common multiple of u(25) and 1098?
1098
Suppose -2*a + 918 = -4040. Let q = a - 7511/3. Find the common denominator of 58/21 and q.
21
Find the common denominator of 81/70 and (2/1)/(((-10)/230)/(3/378)).
630
Let v = 137597/168 - 2458/3. Calculate the common denominator of 99/224 and v.
224
Let x(c) = -2*c - 59. Let p be x(-25). Calculate the least common multiple of 11/(33/12) + p/(-3) and 4.
28
Let p(y) = 26*y**2 + 359*y + 1751. What is the smallest common multiple of p(-5) and 808?
2424
Let s = 131 - 60. Let j = 148478/9 + -16493. Find the common denominator of j and (-14)/7*s/12.
18
Suppose -12 = z - 4*a, 4*z - 4*a + a = 17. Find the common denominator of 97/40 and z/(1056/63) - (0 - -1).
440
Let i = -87016195/1692 - -51428. What is the common denominator of 26/3 and i?
1692
Find the common denominator of 48/275 and 2 + 8/(-18) + 5111/(-1710).
1650
Find the common denominator of (-4)/(-14) + ((-2907608)/7864416 - 1/(-9)) and -39/166.
332
Suppose 3 = -3*s, 2*s - 1270 = -c + 780. Calculate the least common multiple of c and 2052.
2052
Let t = 1509073/9152994 + 70/14257. What is the common denominator of -61/36 and t?
3852
Let h = -3585/16 - -457/2. Let s = -6919/650 + -18/325. Find the common denominator of h and s.
80
Let q(g) = -44*g**2 - 8*g + 36. Let z be q(-6). Let m = -29959/20 - z. Calculate the common denominator of 1 - (2 + 162/(-40)) and m.
20
Suppose -2*x + 20 = z + z, 0 = -2*x + z + 14. Suppose -2*b = -3*b + x. Suppose -6*y = -b*y + 4. What is the smallest common multiple of 14 and y?
14
Let g be 74606/(-12) - (-12)/72. Let s = g + 49835/8. Calculate the common denominator of -21/10 and s.
40
Let f = -3391 + 3393. What is the lowest common multiple of f and 52?
52
Suppose -5*u = -2*j + 324, -60*j - 3*u + 507 = -57*j. Calculate the lowest common multiple of j and 20.
3340
Let k = -4 - 10. Calculate the lowest common multiple of 1 and k/(-3)*93/62.
7
Let j be -7*(1 - (173 + 3)). Let l = j - -2524. What is the common denominator of l/690 - (-1)/(-3) and -103/14?
70
Let p be (-5)/9210*13526*-1 + -7. Let c = p - 3/307. What is the common denominator of c and 76/29 - (1 + 0)?
87
Suppose -25*o - 5*o = 931830. Let f = 4100087/132 + o. What is the common denominator of 89/10 and f?
660
Let h be (861/(-30) - 0) + 2. Let y = h + 538/15. What is the common denominator of (41/(-11) - -1)*(10 + 15)/25 and y?
66
What is the common denominator of (388/(-120))/((-270)/(-50) - 3) and 71/570?
6840
Suppose -213 = -138*y + 753. Let q = 479 + -281. What is the least common multiple of q and y?
1386
Let q = -42 + 54. Suppose 4*p + 0*s + 5*s = -133, p = 3*s - q. What is the common denominator of (-9)/p*119/4 and 59/4?
12
Suppose 5*f = -5*w + 765, -7*f + 4*w = -6*f - 108. Calculate the least common multiple of 864 and f.
864
Suppose -608*p + 765*p - 7536 = 0. Calculate the least common multiple of p and 156.
624
Suppose 5*y - 24 = 2*g + 32, 4*y + 3*g = 54. What is the common denominator of (57/y + -4)*(-92)/12 and ((-4)/54)/(2/(-48))?
36
Suppose -4*s + 0 = -8. Suppose a + 3 = -x, 12*x + s = 8*x - 2*a. What is the smallest common multiple of 90 and x?
90
Let p be 0 + -10743 + 4 + -8. Let v = p + 150375/14. Let o = 1727 + -34509/20. Find the common denominator of o and v.
140
Suppose -10*y = 17*y + 810. Calculate the least common multiple of 3 and ((-42)/y - 1)*120.
48
Let c = -11/754 + 48011/9048. Suppose -322 = 8*f - 90. Calculate the common denominator of c and ((-119)/(-42))/17 - f/3.
24
Find the common denominator of 7/2208*(3/2 - 253/22) and 19/230.
5520
Let z = 117 - 114. What is the smallest common multiple of (z/(-2))/((-2)/8) and 7?
42
Suppose -3*u = -4*u + 2*y - 396, 1956 = -5*u + 2*y. Let c = -2734/7 - u. Calculate the common denominator of -48 and c.
7
Calculate the common denominator of -73/1518 and (-3617)/(-13662) - ((-828)/(-198) + -4).
13662
Suppose 55 - 11 = l. Suppose 348 = 12*r + 17*r. Calculate the common denominator of 139/30 and (r/l)/((-206)/(-112) - 2).
330
Suppose 1 - 3 = -2*l. Suppose l = j + s - 2, 4*s = 4. Calculate the smallest common multiple of j and 546.
546
Let p be -3 + 10/2 + 98. Suppose 3*l + 2*i = 40, -2*i + p = 5*l - 7*i. What is the smallest common multiple of l and 32?
32
Let x = 2633001961/1110 + -2372074. Calculate the common denominator of 82/777 and x.
7770
Calculate the common denominator of 149/2346 and (34/(-12) - -3) + (-1 - (-2480)/3672).
21114
Let c be (10/(3000/44))/(36/5). Let g = c - -6317/2700. Calculate the common denominator of -26/55 and g.
275
Suppose 0 = 4*w + 5*q + 1077, -1057 = 5*w - w + q. Let b = -230 - w. Let m(k) = 24*k**2 + k + 1. Calculate the least common multiple of m(-1) and b.
264
Let g(x) = -x**3 - 10*x**2 - 12*x - 6. Suppose -59 + 569 = 170*s. Calculate the smallest common multiple of s and g(-9).
21
Let i = 220 - 145. Suppose -20*u - 441 + 461 = 0. What is the lowest common multiple of (-8)/(-44) + i/11 and u?
7
Let z be 1 + 6/3 + 161862. Let v = -17481287/108 + z. Find the common denominator of -173/60 and v.
540
Let t = -248 - -133. Let f = t - -199. What is the least common multiple of f and (-69)/(-15) - (-4)/10?
420
What is the common denominator of -37/12 and (10/24 - 2/6)/((-33264)/4672)?
24948
What is the common denominator of 97/630 and (-380)/(-56)*(-2)/156?
16380
Calculate the common denominator of 22/495*(-10)/9 and 97/2376.
7128
Suppose i = -5*r + 3*r + 861, i + 3*r = 862. Let g = -793 + i. Calculate the least common multiple of 177 and g.
3894
Let o(q) = -2*q**3 - 9*q**2 + 58*q + 592. Calculate the least common multiple of o(-8) and 288.
576
Suppose 0 = -21*w + 7141 - 6133. What is the smallest common multiple of 246 and w?
1968
Suppose 4*b - 2*b - 174 = 0. Let s = -1019 + 655. Let k = s - -375. What is the smallest common multiple of b and k?
957
Let l = -19833/592 - -1/592. Wh