 + 6*t = 5*t - 31, 3*t = -3*o + 42. Suppose 0 = -0*w + 4*w + k + o, w + 4*k = -6. Find the common denominator of -51/140 and w.
140
Let s = -1787 - -10637/6. Let f(c) = 5*c**2 + c + 2. Let m be f(-1). Calculate the common denominator of ((-11)/(88/m))/((-6)/(-202)) and s.
12
Suppose -2*v + 8 = f - 3, 4*f - 14 = 2*v. Suppose -10*d + 93007 = 92657. Calculate the least common multiple of d and f.
35
Let z = 106039/42 - 22711/9. Let a = 3092 - 74219/24. Find the common denominator of z and a.
504
Let j be (23655/(-2) - 7)*(-4)/(-21203). Let q = j - -3/1631. Calculate the common denominator of -63/5 and q.
65
Let u = 720397 + -678614063/942. Calculate the common denominator of u and 85/12.
1884
Let b = 71587/84420 + -9/1340. What is the common denominator of b and 59/21?
63
Suppose -k + 10 = w, -w - 896 = 3*k - 908. Calculate the least common multiple of w and (-1)/((-4)/8) - -10.
36
Let b(m) = -m**2 - 784*m - 772*m + 1535*m - 84 - 15. Calculate the least common multiple of b(-8) and 74.
370
Let u be -1 + 1 + 0 + -5. Let g be 3*u/15*8. Let w(k) = k + 18. Calculate the lowest common multiple of w(g) and 7.
70
Suppose 0 = 15*c - 11*c + 48. Let h = 997 + -6999/7. Find the common denominator of 1*(0 + (-2)/(64/c)) and h.
56
Let c = -164 - -1689. What is the least common multiple of 35 and c?
10675
Suppose 6*f + 2*k = 2*f - 190, 0 = 2*f + 4*k + 80. Let z(q) = -q**2 + q + 20. Let r be z(9). Let b = f - r. Calculate the lowest common multiple of 32 and b.
32
Let d(h) = 79*h + 106. Calculate the lowest common multiple of d(6) and 24.
3480
Let a(y) = 206*y - 11108. Calculate the least common multiple of 2424 and a(54).
4848
Let w be ((-39)/(-13) - (0 - 2))/1. Suppose -3*m + 0*m + 264 = 2*l, -w*l = 4*m - 345. Calculate the lowest common multiple of 6 and m.
90
Find the common denominator of (26924/(-7040) + 4)/((-9)/(6 + -9)) and -117/1280.
14080
Suppose 30 = 4*j + 2*p, 4*j + 2*p = p + 31. Let z(t) = 2*t**3 - 4*t**2 + 3*t - 2. Let d be z(3). What is the lowest common multiple of j and 5 + (-4 + d - 4)?
88
Let q = -2655/4 + 660. Suppose -5*m = -5*i + 3*i - 6, m - 10 = -4*i. Find the common denominator of q and 294/(-66) - m/4.
44
Let j(o) = o**2 + 8. Let x be (-1 - (1 - (-3)/(-9)))*-3. Suppose -4*f + 4*p + 68 = 0, -x*f + 3*p + 89 = 2*p. Calculate the least common multiple of f and j(0).
72
Let d = -254 - -77. Find the common denominator of 10/30*d/(-9) and 4/7.
63
Suppose 124 = -4*w + u + 167, -2*w + 8 = 4*u. What is the least common multiple of (14/(-4))/((-4)/8) and w?
70
Suppose 9*o + 7 = -11. Let i = o + 18. What is the lowest common multiple of 2 and i - 7 - (1 - 2)?
10
Suppose -4*y - 5*o + 40 = 0, -169*y + 3*o - 56 = -173*y. Let p(d) = -27*d - 3. What is the least common multiple of p(-3) and y?
780
Let y = -1265 + 2042. Let z = 17169/4420 + 29/442. What is the common denominator of z and y/(-448)*4/6?
160
Let g = 19/25 + 1837/50. Let n = -6/4801 + -282935/259254. Find the common denominator of g and n.
54
Let y(h) = 3*h**2 - 2*h + 43. Let z be y(-13). Find the common denominator of (-794)/z + 16/72 and 53/(-8) - (9 + -10).
32
Suppose -10 = 2*x - 7*x + 5*m, -2*m + 1 = -x. Suppose x*a = -1066 + 16. What is the common denominator of (-3)/(30/(-4)) - (-1211)/a and 25/2?
30
Suppose v - 17 - 23 = -l, l + 5*v = 56. Let s = -184 - -232. What is the smallest common multiple of l and s?
144
What is the common denominator of -1*103/42 - (5376/(-196) - -27) and -50/243?
3402
Suppose 7*r - 2*r = -5*w + 740, -w + 152 = 3*r. What is the common denominator of 2/2 - w/(-32) and (-270)/162*(-32)/10 + 14?
48
Let c be 3 + -1 + (0 - -3) - 185. Let g = -4566/11 - -412. Calculate the common denominator of g and (-4)/10 - (-11 - (-12)/c).
33
Let p = 39448/7 + -1302316/231. Let i(n) = 127*n**2 + 3*n + 2. Let l be i(-3). Find the common denominator of p and l/540 + (-4)/10.
297
Suppose 773 = 11*r + 718. What is the least common multiple of r and 1451?
7255
Suppose -5*i + 3*i = 2*m - 456, -2*i = -4*m + 894. Calculate the lowest common multiple of 45 and m.
225
Suppose -2*m = 4*f - 30 - 48, 0 = -5*m - 2*f + 219. What is the lowest common multiple of (6/(-4))/(3/8*-2) and m?
90
Calculate the common denominator of (28 + -29)*(-1078)/(-756) and 89/738.
2214
Suppose 261 - 1815 = 21*t. Find the common denominator of (-37)/(t/12) - (-29)/(-6) and 26/(-15) - (-1)/(-3).
30
Let t = -2 - -4. Calculate the common denominator of ((-243)/6 + -2)/t and -29/50.
100
Suppose -4*g - 97 + 109 = 0. Let z(w) = -w**3 + 7*w**2 - 3*w + 2. What is the smallest common multiple of z(g) and 9?
261
Suppose -6890*v - 440 = -6901*v. What is the smallest common multiple of v and 268?
2680
Suppose -4*y + 2*c = -220, 0 = 3*y - 88*c + 94*c - 150. What is the least common multiple of y and 90?
270
Let r(x) = 9*x - 99. Let s be r(16). Suppose 5*b - 6 = -0*b - 2*i, 3*b = -2*i + 2. Suppose -5 = b*u - s. Calculate the least common multiple of 15 and u.
60
Let p = 226 - 222. Suppose -2*z + p = 0, -2*n + 0*z - 5*z = -66. Calculate the smallest common multiple of 56 and n.
56
Let v = 1113 + -2183/2. Let i be 79817*(8 + (-3693)/462). Let x = i - 3601/7. Find the common denominator of v and x.
22
Suppose 64*c = -5*w + 60*c + 82, 0 = 2*w - 5*c - 46. Suppose 9*t = -w + 342. Let b(m) = 18*m. Calculate the lowest common multiple of b(1) and t.
36
Suppose 5*d - 14900 = -33*d + 8660. Calculate the smallest common multiple of 240 and d.
7440
Let v be (-3)/2*(-70)/7. Suppose -3*q + 93 = -v. Calculate the smallest common multiple of q and 12.
36
Suppose 26580 = 4*y - 2*h, 0 = y + 2*y + 2*h - 19921. Let a = -4299/208 - -328/13. What is the common denominator of a and 4/(-10) - y/(-520)?
16
Let c = -9 - -9. Suppose -4*w - 276 = -c*w. Let f = -48 - w. Calculate the lowest common multiple of f and 27.
189
Let l = 100 + -96. What is the common denominator of ((-97)/(-2))/(l + 3) and -31/22?
154
Suppose 2952 - 3840 = -3*o. What is the lowest common multiple of o and 24?
888
Let s = -31423 - -251467/8. Let b = -1351426 + 118922627/88. Let q = b - -458/11. What is the common denominator of q and s?
8
Suppose 4*j + y + 13 = 0, 5*y = j + 4*j - 15. Find the common denominator of -1/15 and (-4)/(-30)*((-163)/20 - j).
150
Suppose -19*a - 105*a = 21*a - 1740. Calculate the lowest common multiple of a and 999.
3996
What is the lowest common multiple of 3431 and (-150)/5625 + (-27377)/(-75)?
17155
What is the smallest common multiple of ((-27)/(-2))/(5/10) - 6 and 119?
357
Let o(h) = 2*h**2 + 3*h + 1. Let p be o(-2). Let z(l) = -19*l**2 - 154*l - 3. Find the common denominator of z(-8) and ((-2)/p)/(2/16).
3
Let l(y) = -y**2 - 5*y + 1. Let d be l(-5). Let m be d*(1 - 4) - -39. Suppose h - 99 = -5*i, i + i + 4*h - m = 0. What is the lowest common multiple of i and 2?
20
Let b be (-53)/(-2) + (-11)/22. Suppose -29*r = -b*r - 57. What is the smallest common multiple of r and 11?
209
Suppose -36*i = -2*i - 17*i - 49504. Calculate the least common multiple of 143 and i.
32032
What is the least common multiple of 179 and (-1)/2*(-5)/10*28?
1253
Let d(i) = -i**3 - 10*i**2 + 15*i - 15. Let a be -14 + 0/(-1) - -3. Let l be d(a). Let w = l - -95. What is the smallest common multiple of w and 44?
396
Let d = 15 - 9. Suppose z - 6 = -i, 2*i + 10 = d*i - 3*z. Let h(r) = -r**2 + 30*r + 8. Calculate the lowest common multiple of i and h(30).
8
Suppose g = -4*t - 21 - 31, 0 = 4*t + 20. Let o = g - -42. Calculate the smallest common multiple of 6/(-15) + 84/o and 1.
8
Let r(k) = -1698*k + 77. Let t be r(20). Let h = 1694063/50 + t. Find the common denominator of -97/14 and h.
350
Let j = -24929 + 1196665/48. Let i = -261/19 + -695/114. Calculate the common denominator of j and i.
48
Let w(o) = o**2 - 16*o + 25. Let i be w(14). Let u be i*(14978/(-22) - 6/33). Let r = u - 42911/21. What is the common denominator of r and -137/18?
126
Let w = -327 - -5195/16. Let f = -51 + 49. What is the common denominator of w and f/(-8) - 226/168*3?
112
Let w = 89326/9 - 9933. Calculate the common denominator of -49/1529 and w.
13761
Let w = 31368 - 5081533/162. Find the common denominator of w and -163/42.
1134
Suppose -f - 5*y + 29 = 0, 12*f - 69 = 9*f + 3*y. Suppose 2 + 31 = 3*s. What is the lowest common multiple of s and ((-108)/f)/(9/(-6))?
33
Find the common denominato