 5*k - 69 = 0, -s = -k - 0*k - 42. Suppose -o + 246 = s. Let x = o - 3189/16. What is the common denominator of 29/14 and x?
112
Let t be (-15090)/(-36)*3/(-4)*-17. Let c = 5354 - t. Find the common denominator of c and -39/32.
32
Suppose 28 = -2*p + 4*g, 3*p + g + 14 + 35 = 0. Let z = p + 31. Calculate the lowest common multiple of z and 3.
15
Let w be ((-40)/3 + 4)*-6. Suppose -3*b = b - w. Calculate the least common multiple of 11 and b.
154
Let c(p) = -11*p**3 - p**2. Let t be c(-1). Suppose 18 + t = 2*x. Suppose 4*q + 34 = 5*q + 3*b, b = -4*q + 92. What is the least common multiple of x and q?
154
Let g(k) = -k**3 + 11*k**2 + 12*k + 14. What is the least common multiple of g(12) and 26?
182
Let c(x) = -20*x - 16. Let z be c(-3). Let m = -19 - -95. Let r = m - z. What is the common denominator of r and 61/9?
9
Let i be ((-5975)/9)/((-40)/60). Let j = i - 1012. Find the common denominator of j and 58/9.
18
Suppose -5*v + 3*v + 8 = 0. Suppose v*y = 33 + 39. Calculate the smallest common multiple of y and 2.
18
Let i = -26286/1177 + -1/3531. Let a be (0/3 - 12) + -2. Let k = 28 + a. What is the common denominator of i and k?
3
Suppose 16*p = -3*p + 532. Calculate the lowest common multiple of p and 132.
924
Suppose 0 = 5*w + 3*r, 0*r + 4*r = 0. Suppose 3*i + i - 372 = w. Let k = i + -59. What is the least common multiple of k and 10?
170
Let n = 523/2 - 293. Let m = -544/891 - -30389866/49777497. Let l = m - -6089539/1005606. Find the common denominator of n and l.
18
Find the common denominator of (-292)/(-16)*(1 + (-28)/20) and (-4 - (-46)/44) + 3.
110
Find the common denominator of (102/220)/((-14)/(-35)) and -47/22.
44
Suppose 20*w = 19*w + 3698. Let y be (-2)/7 - w/(-7). What is the common denominator of (-3105)/y + 2/(-11) and -41/8?
16
Let p be (0 - -1) + 64498/(-64492) + 0. Let r = 1467103/967380 - p. Find the common denominator of 53/16 and r.
240
Find the common denominator of 17/11 and -1*(380/(-15) + 5).
33
Let o be 0 + (-2348)/(-590) + -4. Let j = o + -2571/4130. Calculate the common denominator of j and 12/7.
14
Let o = 10 + -6. Suppose 5*u = 5*x + 5, 1 + 1 = 5*u - o*x. Calculate the least common multiple of (u + 1)/((-1)/7) and 1.
7
Let j(d) = 4*d**2 + 2*d + 6. Suppose 7*y = 6*y + 6. What is the lowest common multiple of j(-2) and y?
18
Suppose 4*r + 75 = 5*d - 181, 5*r = -4*d + 213. What is the least common multiple of 78 and d?
156
Let i = -2887 - -26008/9. Suppose t - 52 = 5*q, 0*t - 26 = 3*q + 2*t. Calculate the common denominator of i and q.
9
Suppose 120 = -4*m + 1912. What is the least common multiple of m and 14?
448
Let t = -2389587/16 - -149163. Let x = 189 + t. Let c = -3/32 - 75/32. Calculate the common denominator of c and x.
16
Let m(d) = d + 5. Let j be m(-5). Suppose 25 - 185 = -20*q. Suppose -q = -o - j*o. Calculate the lowest common multiple of 9 and o.
72
Let m(p) = p**3 + 9*p**2 - 12*p - 12. Calculate the least common multiple of 2 and m(-10).
8
Let a = 408 + -380. What is the smallest common multiple of a and 28?
28
Let r = 23114/9 + -2565. Let u = 76/21 - -5/7. Find the common denominator of r and u.
9
Suppose 0 = -7*y - 2*y + 9. Find the common denominator of -45/16 and 30/(-39)*y/4.
208
Let s be (-68)/(-6 + 2 - -2). Suppose 0 = 5*i - 2*k + 42, 4*i - k = k - s. What is the least common multiple of i/32 + 66/8 and 7?
56
Let w be 1/((-1172)/1180) + 1 + 0. Let o = -883/586 - w. Calculate the common denominator of 53/16 and o.
16
Let k = 8 + -10. Let y be (-15)/6*(-44)/5. What is the common denominator of 111/10 and k - (-2 - y)/(-2)?
10
Let x = 56 + -2. Suppose x = -n + 3*n. What is the lowest common multiple of 9 and n?
27
Let c(y) = 2*y - 14. Let t be c(8). Suppose 4*f - 3*j - 33 = 0, -5*f + 3*j = -t*j - 35. What is the least common multiple of f and 12?
12
Let i(r) = r**3 - r**2 - 4*r + 4. Let m be i(3). Let t(w) = w**2 - 11*w - 19. Let z be t(m). Calculate the common denominator of z/4 + (-12)/3 and -71/2.
4
Let i(p) = 6075368*p**2 - 3*p + 3. Let z be i(-3). Let h = z - 84860766835/1552. Let w = h - -93/97. What is the common denominator of w and -19/10?
80
Let k = -50814353993/4116994860 - -1/19698540. Let i = 12/209 - k. What is the common denominator of i and 17/9?
45
Let g be 4/6 + 2745/(-4104). Let w = g + 1343/152. What is the common denominator of w and (2 - 6/8)*106/5?
6
Suppose 5*o + 2*m - 40 = o, 4*o - 5*m = 68. What is the lowest common multiple of o and 24?
24
Let f = 18 + -15. Suppose n - f*i - 10 = -2*i, -3*n + i + 28 = 0. What is the least common multiple of n and 1?
9
Let d(w) = -w**2 + 4 - 3*w**2 + 2*w**2 + 3*w + w**2. What is the least common multiple of 24 and d(0)?
24
Calculate the lowest common multiple of 14 and (-3)/((-9)/60) - (-12)/12.
42
Let z = 2305 - 101401/44. What is the common denominator of z and 119/108?
1188
Let n(c) = -c**3 + 5*c**2 + c + 5. Let l be n(5). Suppose -v + 76 = 4*k + 3*v, 2*v = l. Calculate the least common multiple of k and 12.
84
Let s = 2099159/260 + -40377/5. What is the common denominator of -1/86 and s?
2236
Suppose 3*y - 12 - 26 = -k, 4*y = 4*k + 40. Suppose 2*x + 7*l - 9*l - 42 = 0, -2*l = 4*x - 90. What is the least common multiple of y and x?
132
Let j = -1054/35 - -5071/210. Find the common denominator of -28/27 and j.
270
Let p = 183 - 173. Calculate the smallest common multiple of p and 2.
10
Let g(i) = i. Let b(f) = 3. Let h(r) = -b(r) + 2*g(r). Calculate the lowest common multiple of 2 and h(4).
10
Let v(h) = -h - 1. Suppose u = l - 0*u - 13, 0 = -4*l - 5*u + 7. Calculate the least common multiple of v(-7) and l.
24
Let i be (10/1230)/((-74)/30). Let q = i + 107737/9102. What is the common denominator of 41/8 and q?
24
Let q(n) = -3*n - 3. Let c be q(-4). Let m = 15 - c. Suppose 16 = a + 5*t - 3*t, -a + 17 = t. Calculate the least common multiple of a and m.
18
Let c = 98 + -45. Suppose -11*t + 211 + c = 0. Calculate the smallest common multiple of t and 4.
24
Let l = 14 + -14. Suppose 277 = 4*r - q, -6*q + 2*q + 12 = l. Suppose -8*j = -3*j - r. Calculate the lowest common multiple of j and 16.
112
Let v = -20 + 25. Suppose v*s + 18 = 8*s. Calculate the least common multiple of 2 and s.
6
Suppose -7*a + 45*a = -10*a + 480. Let y = 16 + -3. Calculate the least common multiple of a and y.
130
Let p = -14975/6 + 2471. Find the common denominator of 93/(-155) + 82/(-55) + 15/10 and p.
66
Let w = -4388 - -2602086/593. Let h = -2953/3558 - w. Calculate the common denominator of -125/36 and h.
36
Let v(j) = -5*j - 414. Suppose 0 = -s + 8. Let h = s + -2. What is the smallest common multiple of v(-84) and h?
6
What is the smallest common multiple of (7 + (-81)/9)*258/(-4) and 21?
903
Let n = -125065/36 - -10430/3. Find the common denominator of n and 89/308.
2772
Let g be (-258)/4*2/(-3). Suppose -f = 37 + g. Find the common denominator of (-4)/(-10) + (-36)/f and -25/12.
60
Let u(t) = -t + 7. Let z be u(7). Let n = 6 + z. What is the lowest common multiple of 22 and 4/24 - (-95)/n?
176
Suppose r + 2 = -5*s + s, 4*s + 20 = -4*r. Calculate the smallest common multiple of 4 and ((-16)/r)/(11/66).
16
Suppose 2*o + 2 = -30. Let u be 7 + 1/(4/o). Suppose 5*k - 36 = u*k. Calculate the least common multiple of k and 20.
180
Let q = -1155 - -474. Let z = q + 4177/6. Let y = 2045/3 + -689. What is the common denominator of y and z?
6
Calculate the common denominator of 10/(-250)*(-3)/(234/(-590)) and 39/10.
390
Let i be (-2 - -2) + 0 - 153. Find the common denominator of 109/10 and (-3)/(-1)*i/(-378).
70
Let z(w) = 6*w - 24. Calculate the smallest common multiple of z(9) and 45.
90
Let o = 462 + -453. What is the lowest common multiple of 39 and o?
117
What is the common denominator of 85/48 and (-3)/(-2) + (-309)/72?
48
Let v = 20 + -54. Let h = -30 - v. Calculate the smallest common multiple of h and 3.
12
Let j = 1168/7 + -10036/63. Calculate the common denominator of (-108)/1944*57/4 and j.
72
Suppose -2*v + 10*v = 48. Let n = v - -4. What is the smallest common multiple of n and (-136)/(-10) - 2/(-5)?
70
Calculate the common denominator of (-4767)/(-702) + (128/104)/8 and 25/16.
144
Calculate the smallest common multiple of 192/144 - (-316)/6 and 4.
108
Let u be 18/63 - 16594/14. Find the common denominator of 6/(-27) + u/(-108) and -13/22.
44
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