 b - 5962/3. Calculate the common denominator of n and -93/76.
532
Suppose z = 10 - 2. Let c(y) = y**2 + 24*y - 9. Let v be c(-29). Suppose 0 = 25*o - 8*o - v. What is the lowest common multiple of o and z?
8
Suppose 76 = -7*a + 55. What is the common denominator of -14/183 and -5 + (-106)/a*39/(-52)?
366
Let d = -48 + 51. Suppose -63 = -d*i + 432. Calculate the least common multiple of 14 and (i/(-20) - -3)/(6/(-16)).
14
Suppose 22908 = -3*n + 5*n - 2*h, -2*n + h = -22903. Let v = n + -412229/36. Calculate the common denominator of 119/66 and v.
396
Let r = 250 + -245. Suppose 0 + r = 5*p - 2*f, 5*p = 3*f. What is the lowest common multiple of p and 11?
33
Let q = 5037763/177 - 28462. What is the common denominator of 32/15 and q?
885
What is the common denominator of 21*1*(-15)/27 and (6/(-306))/((-12)/396)?
51
Suppose -113 = 3*u - 119. Suppose -5*j = -8*j + 2*h + 44, -u*j + 3*h = -21. Calculate the smallest common multiple of j and 2.
18
Let p = 2209/3 + -726. What is the common denominator of (-82)/4*(-96)/1872 and p?
39
Suppose -49 = -5*w + 11. Suppose 4*v - 72 = 2*v - 4*g, 2*v = 2*g + 90. What is the least common multiple of w and v?
84
Let j(c) = 22*c**2 - 1083*c + 7552. What is the smallest common multiple of 8 and j(7)?
8392
Let p(o) = o**3 + 16*o**2 - 18*o - 128. Calculate the smallest common multiple of 140 and p(-16).
1120
Let y = 5499/2 + -3931773/1430. Let q = y - 19949/8580. Find the common denominator of 101/6 and q.
60
Let a = 9851 + -9331. Calculate the smallest common multiple of a and 143.
5720
Suppose -2*z = 5*u - 58, -5*u + 0*u = z - 54. Suppose 0 = g - 4*l - 170, 257 + 253 = 3*g + l. Calculate the least common multiple of u and g.
170
Let a = 167/37 - 9381/1480. Let z = 660211/40 + -16508. Find the common denominator of a and z.
40
Let h = -1326 + 635. Let d = h + 77397/112. Calculate the common denominator of d and -9/14.
112
Let a = -1 - -12. Let q = 56 + 12. Calculate the least common multiple of q/8 + (3 - 5)/4 and a.
88
Let g be -588*((-148)/(-28) + -1). Calculate the common denominator of (350/36)/5 - 3 and 7330/g - (-1 + (-18)/(-14)).
36
Let l = 5323 + -4387. Calculate the least common multiple of l and 156.
936
Suppose -28*n = 126*n + 924. Find the common denominator of -5/189 and n.
189
Let g = 3963851/6 - 657413. Let j = -3236 + g. What is the common denominator of j and 79/6?
6
Suppose 0*w + 3*w = 39. Suppose -3*x + 5*y - 8 = y, 3*x + w = 5*y. Let t = -8 - -22. Calculate the smallest common multiple of t and x.
28
Suppose 907 = -3*m - u + 83, u + 5 = 0. Let h = m - -16373/60. Find the common denominator of 25/7 and h.
420
Let r(n) = -21*n. Let l be r(4). Let t = 84 + l. Suppose t = 5*d + 5*f - 10, 0 = d + 6*f - f + 10. Calculate the lowest common multiple of 1 and d.
5
Let b(c) = 47*c + 4. Let t(o) = -47*o - 4. Let d(i) = 5*b(i) + 4*t(i). Let q be d(6). What is the smallest common multiple of 6 and 4048/q - 1/13*2?
42
Let w = 25780742/93 + -277207. Let b = -18289/5208 + w. What is the common denominator of -119/40 and b?
280
Let g = -109755/28 + 3922. What is the common denominator of ((-148)/3108 - (-1469)/(-21))/(-32) and g?
112
Suppose -3*i + 0*i + 15 = 0. Suppose -i*a + a + 216 = 0. What is the smallest common multiple of a and 5/4 - 5/20?
54
What is the common denominator of ((-760)/(-136) + -5)/(52/10) and (7/(-3))/(44/12)?
2431
Let m(o) = 4*o + 104. Let q(d) = -d**3 - 5*d**2 + 6*d + 18. Let r be q(-4). What is the lowest common multiple of 9 and m(r)?
144
Let k be (1/1318)/(96/(-1307072)). Let a = 2/659 - k. What is the common denominator of a and 50/11?
33
Let g = 162232835329/1100 + -147484406. Let x = 1/275 - g. Let q = -206/7 + 565/28. What is the common denominator of x and q?
4
Let p be -4 + -4 + 360736522/(-216726). Let z = -294782/881 + p. Let u = -12049/6 - z. What is the common denominator of -71/8 and u?
328
Let u = 2/264895 - -5089162726/1854265. Let p = u - 653817/238. Calculate the common denominator of p and (-2)/(-16)*(8 - 108/(-8)).
272
Let v(n) = -n**2 + 9*n + 8. Let a = 162 + -159. Suppose 4*t - 111 - 5 = -5*j, a*t - 2*j = 64. Calculate the least common multiple of v(8) and t.
48
Let v be 3/(-2)*12/9*-5. Suppose -v*d - 2204 = 12196. What is the common denominator of 2/(-5) - 12656/d and -145/18?
18
Let a = -558603/4 + 1326682383/9500. Find the common denominator of a and -41/950.
4750
Suppose -3*v + 2391 = 5*w, 5*w - v = w + 1923. Calculate the smallest common multiple of 50 and w.
2400
Let x = -274331/150 + 5491/3. What is the common denominator of x and (-4)/48*1782/220?
200
Let i(u) = -29*u + 1. Let o be (-3 - (-34)/6) + 10/(-15). Suppose -3*t + 5 = -2*z, -25 = 5*t + 3*z + o*z. What is the smallest common multiple of 27 and i(t)?
270
Let a(f) = 2*f**2 + f + 1. Suppose 0*j - j - 1 = 0. Let v be a(j). Find the common denominator of 11/6 and 4671/324 + (-1 - (-1 + v)).
12
Let l(i) = i**3 + 10*i**2 + 24*i + 12. Suppose 0 = 11*u - 169 + 4. What is the lowest common multiple of l(-6) and u?
60
Let n = 15953/6 - 2669. Calculate the common denominator of (2 - (-74)/(-39))/(1/36) and n.
78
What is the common denominator of 4/(-10) + 2103/(-630) and (5489/418 + -8)*((-8)/(-12) - (-2)/(-6))?
798
Suppose 0 = 3*k + 7*f - 6*f - 816, 0 = -2*k + f + 549. What is the common denominator of ((-4602)/k)/(44/(-7)) and (-2)/(-4) - (-178)/40?
220
Let y = -5839061/7 + 2908011439/3486. Let o = 66/83 - y. Let b = 45 + o. Calculate the common denominator of b and 79/4.
12
Let c = 12416 - 11184. What is the lowest common multiple of c and 1408?
9856
Let k(d) = 6 + 10 + 2*d + 9 - 4. Let i be k(-13). What is the common denominator of (i/(-4) - 1)*190/(-12) and -53/6?
24
Let q = 3 + -4. What is the common denominator of q/(-2) + (-22)/(-3) and (-1491)/(-49) + -30 - (-2)/((-168)/1954)?
6
Suppose 62*z - 40123 = 22708 - 13727. Calculate the smallest common multiple of z and 176.
1584
Suppose 3*x + 8*x - 858 = 0. Suppose -7*n - x = -20*n. What is the least common multiple of 57 and n?
114
Suppose -3*q + 264 = 5*b, -3*b = 3*q - 164 + 8. What is the common denominator of -127/12 and (20/(-24))/(b/63)?
36
Suppose 3*w - 5*q = 5, -2*w + 4*q + 3 - 1 = 0. Let i = 168 - 101. Let m = i - 58. Calculate the smallest common multiple of w and m.
45
Let r(s) = 5*s**3 + 118*s**2 - 75*s + 96. Calculate the smallest common multiple of 6 and r(-24).
744
Suppose 0 = 4*q + 20, 3*a + 0*a - 1819 = 5*q. Suppose 10*j = -o + 5*j - 311, 0 = -2*o + 2*j - a. Let t = o + 1795/6. Find the common denominator of t and -7/15.
30
Let y = 27890 - 27438. Calculate the least common multiple of y and 92.
10396
Let r(t) = 7*t + 66. Let f be r(-7). Suppose 55 = 6*i - f. What is the least common multiple of 18 and i?
36
Let z = -131858 - -153482653/1164. Calculate the common denominator of z and 51/1940.
5820
Suppose -5*v = -v - 4*o - 8, -5*o = v + 10. Let x be (v - 12/(-27))*(-927)/(-30). Let g = x - 334/35. What is the common denominator of g and -19/3?
21
Let t = 6 - 0. Let w(y) be the third derivative of -y**5/10 - 35*y**4/24 + 3*y**3 - 155*y**2. Calculate the lowest common multiple of t and w(-6).
12
Let m(g) be the second derivative of g**6/720 - g**4 + 16*g. Let s(a) be the third derivative of m(a). Calculate the lowest common multiple of 8 and s(14).
56
Let t(i) = -i**2 + 6*i + 6. Let s(l) = 3*l - 12. Let w be (-12)/(-5)*(-20)/(-8). Let b be s(w). Calculate the lowest common multiple of 1 and t(b).
6
Let g = 23137213467 + -7473314022796/323. Let l = 18350 - g. Let p = 5581/5814 - l. What is the common denominator of -15/52 and p?
468
What is the common denominator of 242/(-84) - 41/574 and 74/21?
21
Suppose 5*n - w - 128 = -48, 3*w = 4*n - 64. Suppose 0 = -11*i + n*i - 105. Find the common denominator of (-770)/i - 4/(-6)*1 and 25.
1
Let l = 163 + -462. Let d = l + 303. What is the least common multiple of 1 and d?
4
Let s = -34 - -35. Let t be 8/(-1 + 5) - (-2 - s). Calculate the least common multiple of 86 and 2 - (5 + t/(-1)).
86
Let p be (-1)/(-3) - (-176)/66 - -53. Suppose -p*i = 2*i - 3828. What is the least common multiple of i and 2?
66
Suppose 0 = 7*m - 3*m + 5*w - 474, 0 = 5*w + 10. Calculate the smallest common multiple of 110 and m.
1210
Suppose 33*l = 142 + 221. Suppose 2*h = -2*q - 0*q + 10, -h = -3*q - 1. Find the common denomin