+ 73/36 and -151/156.
468
Let s(i) = i**3 - 5*i**2 + 3*i + 9. Let g be s(4). Suppose 6*p = g*p + 18. What is the least common multiple of p and 36?
36
Let s(j) = j**3 - 10*j**2 - 8*j - 49. Calculate the common denominator of -3/77 and s(11).
77
Let u(b) = -6*b - 3. Let d be u(-5). What is the common denominator of -19/30 and (17/d - -2) + 12/(-4)?
270
Let a = -167954/1125 - -1345/9. Calculate the common denominator of a and -111/20.
500
Let x(o) = -38*o + 676. What is the least common multiple of x(16) and 170?
340
Let t = -5651/10545 + 70/111. What is the common denominator of t and -4 + (-201)/15 - (-4)/10?
95
Let m = 266/37 - 23089/3330. Find the common denominator of -111/50 and m.
450
Let i be ((0 - 139)*(-1)/(-9))/1. Let l = i + 1031/72. Find the common denominator of l and -5/12.
24
Suppose 0 = 3*w + 3*a - 153, w - 48 = 4*a + 18. Calculate the least common multiple of w and 6.
54
Let d(g) = 32*g - 57*g + 38*g + 10*g**2. What is the least common multiple of 16 and d(-2)?
112
Suppose -4*z + 8 = -2*z. Suppose 3*m = 3*u - 0*m - 45, z*m = u - 24. Let x = 21 - u. Calculate the smallest common multiple of x and 23.
207
What is the least common multiple of 8/1*115/20 and 20?
460
Calculate the common denominator of -113/40 and (-4)/(-20) - 1574/720.
360
Let k = 42 + -81. Let x = 43 + k. What is the least common multiple of 22 and x?
44
Let m = 2659615/71 + -37457. Let f = m - -6859/852. Find the common denominator of ((-5)/((-10)/3))/(27/(-73)) and f.
36
Find the common denominator of (2280/(-294))/10*28/(-6) and -59/15.
105
Suppose 11*a - 233 = 31. Suppose -3*r + 2*r - 2*y = -41, 0 = 2*r + y - 88. Calculate the smallest common multiple of a and r.
360
Let g = -31 + 10. Calculate the common denominator of 56/9 and (-2)/1 + g/(-60)*38.
90
Let u = 11143/10 + -1117. What is the common denominator of ((-693)/(-14))/(10/2) and u?
10
Find the common denominator of 57/28 and 2/(-14) - (-6 + 5071/847).
308
Suppose -5*r = 5*g + 171 - 531, 0 = 3*r - g - 228. What is the smallest common multiple of 270 and r?
1350
Let u = -11 + 15. Let y(v) = v**2 + 3*v + 2. Calculate the least common multiple of u + ((-8)/(-4) - -8) and y(3).
140
Suppose 51*w = -65*w + 13224. Calculate the lowest common multiple of w and 38.
114
Suppose -3*s = -4*s + 12. Suppose -a + 48 = g, s - 138 = -3*a + 3*g. What is the least common multiple of a and 6?
90
Suppose 3*n = 35 + 10. Let l(j) = j**3 - 15*j**2 - 4*j + 20. Let b be l(n). Calculate the common denominator of 61/2 and (-3 - 118/b)*39.
20
Let n(d) = -4*d. Let m be n(0). Calculate the common denominator of 1790/560 - (m + 3) and (1 - 194/40) + 2.
280
Let j = -2182/3 - -43589/60. Let f be (-4436)/(-27)*12/(-160). Let d = -63/5 - f. What is the common denominator of j and d?
180
Let c = -19493 + 818611/42. What is the common denominator of 828/80 + 2/(-8) and c?
210
Let n = 2083 + -2062. Let p(c) = c**2 + 6*c + 9. Calculate the smallest common multiple of p(-6) and n.
63
Let t be (35/36)/((-57)/32553). Let w = 1663/3 + t. Let v = 130/19 - w. Find the common denominator of v and -11/2.
4
Let x be (-24)/(-9) - 2*(-2)/(-6). Suppose -2*g - x*b + 13 = -61, -4*g + 5*b = -139. Calculate the smallest common multiple of g and 8.
72
Let s = 87 + -27. What is the smallest common multiple of s and 8?
120
Let s(k) = 3*k**3 + 3*k**2 - 4*k + 6. Calculate the lowest common multiple of s(3) and 12.
204
Suppose 0 = 5*f + 44 + 46. Calculate the smallest common multiple of (-284)/f + 2/9 and 2.
16
Let h(y) = -y**3 + 11*y**2 - 10*y + 14. Suppose 0 = -6*c + 4*c + 20. Calculate the lowest common multiple of h(c) and 32.
224
Suppose 696 = 7*r - r. Let z = r + -89. Calculate the least common multiple of z and 12.
108
Let u be ((-2)/(-4))/(-1) + (-35)/14. What is the common denominator of 57/(-5) + ((-36)/30)/u and -59/9?
9
Suppose -5*a = 4*c - 1510, -5*a + a - 4*c + 1204 = 0. Find the common denominator of -40/3 and (2 - 0) + (-187)/a.
18
Let s = -3/4538 + -91884/15883. What is the common denominator of s and 49/134?
938
Let b(n) = n**2 + 2*n + 3. Let s be b(-3). Find the common denominator of -61/10 and (-8)/(-16) - (-2)/s.
30
Calculate the common denominator of 55/16 and 7/(-1) + (-54)/60.
80
Let p = -6/629 + -11292/3145. Find the common denominator of p and 87/50.
50
Let f be -5 + 3 + (2 - 90/(-2)). Suppose 3*u = 213 + f. Calculate the lowest common multiple of 12 and u.
516
Suppose -8*q + 72 = -0*q. What is the common denominator of -1*(-2 - 78/14) and (-12)/q*9/54?
63
Let o(i) = -i**2 - 6*i - 4. Let g be o(-4). Suppose g*z - d = 2*d + 111, -2*d + 14 = z. Let p = 24 - 2. Calculate the lowest common multiple of z and p.
264
Suppose -503*b - 120 = -506*b. Calculate the smallest common multiple of 28 and b.
280
Suppose v = -3*v - 32. Let g = 2/1517 + -89507/3034. Find the common denominator of (-74)/v + (-1)/(-2) and g.
4
Let a(r) = r**2 + 9*r + 20. Let d be a(-6). Suppose -2*l - 3 = -5*i, -l - 3 = -d*i - 2. Calculate the smallest common multiple of i and 13.
13
Let g(j) = 39 + 2*j - 15 + 19 - 3*j. What is the lowest common multiple of g(13) and 48?
240
Let l(y) = -y**3 + 4*y**2 + 3*y - 26. Let a be l(6). Suppose -k + 11 = -5*m, -3*k - 7 = 5*m - 20. Calculate the lowest common multiple of 3/k*a/(-5) and 8.
8
Let y = 1/6482 - -2195776/9723. Let l = 389273 - 5835658/15. Let q = l - y. What is the common denominator of q and 29/10?
10
Calculate the common denominator of -55/3 and 5 - 5 - (-291)/(-984).
984
Let r be (134/4)/(13/(-338)). Let c = 1115 - 11101/10. What is the common denominator of c and (r/(-78))/(1/(-3))?
10
Let i be (1 - (-2 - -1))/(-16 - -17). Suppose 5*d = -h - 2*h + 86, i*h + d = 62. Calculate the lowest common multiple of 8 and h.
32
Let x = -29/265 - 13709/10335. What is the common denominator of -35/6 and x?
78
Suppose 0 = -2*t + 10 - 2. Let q = 0 + -1. Let b = q + 4. Calculate the least common multiple of t and b.
12
Let s = 83 - 18. Suppose 4*a - 2*j - s = 3*j, -2*a - 2*j + 10 = 0. Let y = -1 - -3. What is the least common multiple of a and y?
10
Let j = -2345 - -145397/62. Let n = -153961/200 + 1535/2. Let y = n - 8/25. What is the common denominator of j and y?
248
Let i = -4 + 6. Let p = i - 0. Calculate the lowest common multiple of p and (-7)/(-4 - (13 - 16)).
14
Suppose 3*k = 3 + 3. Suppose -4 = -k*v - 0. What is the smallest common multiple of 26 and v?
26
Let f(c) = 10*c + 68. What is the lowest common multiple of 279 and f(18)?
2232
Find the common denominator of 651/1575*(10/3 - 0) and -77/54.
270
Let n = -21145/8701 - -2/1243. What is the common denominator of 93/(-42) + (-5)/(-10) and n?
7
Let h(w) = 79*w - 1103. What is the lowest common multiple of h(14) and 10 + (-1 - -1)/(-2)?
30
Let i = -134 - -138. Suppose 4*s = 0, k + 12 = 4*k - i*s. Calculate the lowest common multiple of k and 12.
12
Let r be (-241)/(0/5 - -3). Let n = 179/3 + r. Find the common denominator of n and -28.
3
Let c(t) = -t**3 - 4. Let s(g) = -g - 8. Let r be s(-8). Let q be c(r). Find the common denominator of 21/8 and q/(-6) + 753/72.
8
Let z = 207517/36 + -5767. Calculate the common denominator of 1/(-4) - (-129)/28 and z.
252
Let y = -8 + 28. What is the smallest common multiple of 481/26 + (-1)/2 and y?
180
Let o = -355907207387/95172 + 287949936/77. Let i be 2264/(-3399) + (-2)/(-3). Let d = i - o. Calculate the common denominator of d and -27/10.
60
Suppose -111 = 4*o - 179. Suppose 2*f = 3*c + 79, -4*f + 3*c = -5*f + o. Suppose 66 = 3*m - 0. What is the least common multiple of f and m?
352
Calculate the common denominator of (-4)/(-74) + 6235/(-22940) and 71/32.
992
Calculate the common denominator of (-6)/(-4320)*-5*2 and 95/16.
144
Suppose -4*u + 126 = -2514. What is the common denominator of 1398/u + 4/22 and -71/4?
20
Let r = 17 - 25. Let n be (0 + 2 - -31) + -1. What is the common denominator of (r/(-22))/((-4)/n) and -43/11?
11
Let f(r) = -r + 2. Let o be f(-8). Let u = -264 + 4703/18. Find the common denominator of u and o/(-35) - (-38)/(-28).
126
Suppose -5*z - 3*b = -42, -4*z + 7 + 28 = b. What is the smallest common multiple of z and 19?
171
Let k = -793403 - -122183065/154. Let p = -2/77 + k. Calculate the common denominator of -51/2 and p.
2
Suppose 4*w - 2*w - 4 = -2*x, 0 = 2*w - 4*x - 16. Suppose 4*h - 43 = -5*f, 0 = 2*h + 