 -2*t + g. What is the least common multiple of 161 and t?
805
Suppose -4*q + 70 = -5*z, q + q = 4*z + 62. Let b be -2*(-148 - -2)*-2. Let k = b + 6461/11. Calculate the common denominator of k and z.
11
Let b = 6818056187/5003772 - -12/416981. Let k = b - 1361. Let v = -1983 - -43647/22. What is the common denominator of v and k?
132
Suppose -4*p - 264 = -4*i, -4*i - 52 = -3*p - 249. What is the common denominator of 81/16 and (p/(-6))/((-198)/(-54))?
176
Let m(f) = f**3 + 5*f**2 + 8*f + 22. Let x = 10 + -15. Let g = 9 + x. What is the lowest common multiple of m(-4) and g?
12
Let t be ((-6)/(-2) - 1)*791. Find the common denominator of -55/32 and ((-1)/21)/(12/t).
288
Suppose 0*s = -3*s + 39. Suppose -2*m - 67 = -6*m + q, m - q = s. Calculate the smallest common multiple of m and 10.
90
Suppose 74*i - 78*i = 100. What is the smallest common multiple of -3*1 - (i + 5 - -1) and 120?
240
Suppose 0 = 6*t - 3*t + 4*y - 90, 3*t - 2*y = 90. Suppose -5*a + t = -10. Let z(o) = -o + 10. What is the lowest common multiple of a and z(6)?
8
Suppose 3*u = -5*u. Suppose -4*t + 7 + 17 = u. What is the smallest common multiple of 10 and t?
30
Let b = -12 - -18. Calculate the common denominator of (-55)/(-75)*b/4 and -23/7.
70
Suppose 5*n - 110424 = 4*l - 0*n, l - n = -27607. Let v = 2429857/88 + l. What is the common denominator of 9/5 and v?
440
What is the smallest common multiple of 30 and 13420/165 - 1/3?
810
Let q = -6094/891657 - 7009491308/41853487923. Let h = 24/643 + q. What is the common denominator of h and 7/8?
584
Suppose 0 = -4*j - 12, 5*r + 5*j = -1 - 4. Suppose -r*g - 20 = -w, -5*w - 4*g = -w - 20. What is the lowest common multiple of w and 7?
70
Let k(m) = 10*m - 4. Let u be k(6). Calculate the smallest common multiple of u/2*(1 + 0) and 2.
28
Let s = -5/41 + 1567/5453. What is the common denominator of 73/152 and s?
1064
Suppose -12 = 4*z - 7*z. Suppose 4*a = z*j - 10 + 106, 0 = -3*a + 5*j + 74. What is the least common multiple of a and 3?
69
Suppose x + j - 50850 = -0*x, -254280 = -5*x + 5*j. Let y = x - 2135963/42. What is the common denominator of 12/9 + 4/(-2) and y?
42
What is the common denominator of (217/(-14) + -4)*(-7)/138 and -13 + 12 + 190/4?
92
Suppose 688 - 1332 = -14*k. Calculate the least common multiple of 18 - (0/2 + -2) and k.
460
Let k(h) = -h**3 + 25*h**2 + 28*h - 38. Calculate the least common multiple of 18 and k(26).
126
Let s = -38 - -48. Calculate the smallest common multiple of s and 20.
20
Let z(d) = 4*d + 77. Let s be z(-25). Calculate the common denominator of 17 and (s/4 + 0)/((-6)/48).
1
Let y = -839925/124 - -6774. Let p = -16882 - -270023/16. What is the common denominator of y and p?
496
Let p = 4 - 2. Let i(o) = 3*o**2 - o - 4. Let r(s) = 13*s**2 - 3*s - 17. Let v(u) = -9*i(u) + 2*r(u). Calculate the lowest common multiple of v(p) and 9.
36
Let i(d) = -d**2 - 3*d - 6. Let u be i(-5). Suppose 2*k + 3*y + y = -4, 3*k - 4*y = -46. What is the lowest common multiple of 12 and (-2)/(-5) + u/k?
12
Let a(y) = 7 + 39 - 21 - y. Calculate the least common multiple of 6 and a(20).
30
Let j(o) be the third derivative of -5*o**4/24 - o**2. Calculate the lowest common multiple of j(-1) and (84/(-33))/(14/(-77)).
70
Let o = -9 - -20. Let a be -2 + 2 + -4 + 5. Suppose -4*h + 2*b = 3 - 7, -5*h + 4*b - a = 0. Calculate the smallest common multiple of o and h.
33
Let r be (-13657)/(-371)*2/(-1360). Let h = r - -4/85. Let t = -2519/212 - h. What is the common denominator of -31/6 and t?
24
Let d = -1832 - -7365/4. What is the common denominator of d and ((-49)/5)/((-48)/40)?
12
Let a(h) = 2*h - 10. Suppose -5*n + 89 = 54. Calculate the lowest common multiple of a(n) and (-2)/(-3) - 13/(-3).
20
Let d = 12 - 20. Let l = d - -7. Calculate the smallest common multiple of 22 and (l - 0) + (20 - -3).
22
Suppose 2561 = 3*m + 4*l, -4*l = -4*m - 2*l + 3378. Let p = m + -8459/10. Calculate the common denominator of -87/10 and p.
10
What is the common denominator of -55/238 and (-252)/480 - (-12)/(-20)?
952
Suppose j = d + 3*j - 34, 2*j = 5*d - 110. What is the least common multiple of 22 and d?
264
Suppose 0 = 2*n + n - 132. Let h = 240 - n. Find the common denominator of (3/20)/((-6)/h) and 1/2.
10
Let s be (2 + -2 - 0)/1. Suppose -c + 2*c - 12 = s. Suppose 5*t - 31 = 29. Calculate the least common multiple of c and t.
12
What is the common denominator of 5/(150/153) - (-1 - -2) and 35/1236?
6180
Suppose 0 = b + v - 10153, 0*v - 3*v = 5*b - 50755. Let y = b - 142167/14. What is the common denominator of (-226)/80 + (-1)/(-1) and y?
280
Let q = 32690/9 + -3637. Suppose 3*l - 132 = -l. Suppose a = 2*a - l. What is the common denominator of a and q?
9
Let d(x) = x**2 + 7*x - 4. Suppose -60 = -9*a + 102. What is the lowest common multiple of a and d(-9)?
126
Let w(z) = 2*z**2 + 14*z + 95. What is the smallest common multiple of 24 and w(-8)?
888
Let u = 1/171 + 3499/15732. Find the common denominator of -68/9 and u.
828
Let n = 281 - 245. Calculate the least common multiple of 63 and n.
252
Let x = 728 - 706. Calculate the least common multiple of x and 11.
22
Let h(g) = -g**2 - 26*g - 30. Suppose 0 = -j + 65 + 5. What is the smallest common multiple of j and h(-24)?
630
Let j be (-2 + (-5 - -2))*(-1)/5. What is the common denominator of (j*69/(-99))/((-3)/(-9)) and -38/9?
99
Let q = -18229 - -492239/27. Calculate the common denominator of 28/225 and q.
675
Suppose 5*b - 2*j = 21 + 24, 4*b - 36 = -3*j. Let w(d) = d**3 + 4*d**2 - 2*d - 2. Calculate the least common multiple of w(-4) and b.
18
Suppose -59 + 9 = -5*w. Let m(z) = z**3 - 24*z**2 + 20*z + 10. Let d be m(23). Let v = 77 + d. Calculate the least common multiple of v and w.
90
Suppose -4*h + 9*h = 10. Calculate the smallest common multiple of h and (-16)/(-4) + (-1 - -1).
4
Suppose 2*o + 110 = 3*g, -4*o - 10 = -g + 10. What is the lowest common multiple of 20 and g?
40
Let u = -4/749 - 27665/8988. Suppose 5*l + l + 384 = 0. Find the common denominator of u and l/(-84)*(-5)/((-5)/6).
84
Find the common denominator of -29/188 and 18/40*((-112)/(-12))/(-14).
940
Let d(b) = -b**2 + 9*b - 2. Suppose -4*q + 6*q = -4*i + 10, 4*i = 2*q - 2. Suppose -19 = -2*r - q. Calculate the smallest common multiple of d(r) and 22.
66
Let a(p) = -3*p**3 + p**2 + 4*p + 2. Let l be a(-2). Let f = -18 + l. Calculate the lowest common multiple of 4 and f.
4
Let x = 12073513/140 + -86240. Calculate the common denominator of 179/60 and x.
420
Suppose -3*b + b - 8 = 0, 3*u + 2*b - 13 = 0. Let x(w) = w**3 + 6*w**2. Let p be x(-6). Suppose -j + p = -2. Calculate the lowest common multiple of u and j.
14
Let t = -3/13646 + -296775/115991. Calculate the common denominator of -11/14 and t.
238
Let g = -10957/130 - -1099/13. Let z = -2/13 + g. What is the common denominator of z and 73/22?
110
Suppose -314 = -32*l + 31*l. What is the least common multiple of 3 and l?
942
Let r = -396161/60180 + -2/5015. What is the common denominator of r and 76/273?
1092
Let b(q) = q**2 - 1. Let x(j) = j**3 + 7*j**2 + 5*j - 3. Let u(v) = 3*b(v) - x(v). What is the lowest common multiple of u(-4) and (-12)/(-8) - ((-13)/2 + 2)?
60
Suppose 0 = w + 3*v + 31, -5*w + 0*v = 5*v + 105. Let r be -6*-1*(-428)/w. Let o = 189 - r. Find the common denominator of o and -59/14.
14
Let o be (-390)/(-25) + (-12)/20. What is the common denominator of 7/15 and (-12 + o)*7/4?
60
Suppose -3*l + 5*d = -913, 2*l - d = -3*l + 1485. Suppose 2*h - l = 92. What is the common denominator of h/24 + (-1)/(-3) and -99/20?
60
Suppose 5*d - 130 = -4*u, 136*d = 135*d - 5*u + 47. Calculate the smallest common multiple of 108 and d.
1188
Suppose 20*d - 394 = -34. What is the smallest common multiple of d and 48?
144
Suppose 4*k = -b - 8, 2*k + 0*k + 2 = -b. Suppose b*u = u - 78. Let i = u + 417/16. What is the common denominator of i and 13/18?
144
Suppose 3*j - 7*j = 4. What is the common denominator of 83/(-104)*(10/5)/j and 51/4?
52
Suppose 4*j - 41 = 5*q, -13*q + 16*q + 47 = 4*j. What is the lowest common multiple of j and 36?
252
Let x = 455 - 3233/7. What is the common denominator of x and 131/(-20) + 2*16/(-160)?
28
Suppose l + 5 = -2*u + 13, 5*l = u + 7. Let x(h) = -h**3 + 3*h**2 - 2*h - 1. Let p be x(2). Calculate the lowest common multiple of l an