510
Let s = -2702 - -121519/45. Calculate the common denominator of s and -83/8.
360
Suppose 0 = -5*m - 3*u - 0 + 1, -4*m - 4*u = 4. Suppose -7 = -m*w + 1. Calculate the least common multiple of -2 - 298/(-10) - (-7)/35 and w.
28
Let k = -27974/45 + 3141/5. What is the common denominator of 24/7 and k?
63
Let g be ((-23)/(-8))/((-9)/(-13836)). Suppose -3*h - 17619 = 4*f - 0*h, -3*h = -9. Let o = g + f. Calculate the common denominator of -51/2 and o.
6
What is the common denominator of 35/12 and 3 - 18/120*(-45)/12?
48
Suppose -62*m + 37*m = -550. What is the lowest common multiple of m and 24?
264
Suppose -2*b - 2 = 5*p, -4*b + 22 = -4*p - 2. Calculate the common denominator of -3/59 and (24/9 - 2) + 23/p.
354
Suppose 2*o - 2*n + 5*n = 93, 4*o + n - 181 = 0. Calculate the least common multiple of o and 20.
180
Let z = 1/4575 + 160117/36600. Calculate the common denominator of z and (77/4 + -12)*2/28.
56
Let t = 34/93 - -1393/1023. Let j be (13 - 17)*(-1)/4. Calculate the common denominator of ((-1)/(-33))/(j/93) and t.
11
Find the common denominator of -39/982 and (2086/36)/(-7) - (-288)/648.
2946
Let v = 2883 - 2721. Calculate the lowest common multiple of 126 and v.
1134
Let q(x) = 2*x + 1. Let y(g) = g**3 - 5*g**2 + 1. Let b(t) = -t. Let k be b(-5). What is the smallest common multiple of q(3) and y(k)?
7
Let h(p) = -3 - 76*p**3 - 12*p**2 + 77*p**3 - 2 + 12*p. Let r be h(11). Suppose -3*x - 78 = -r*x. What is the smallest common multiple of x and 10?
130
Let s be (-4)/4366*(-3)/6 + 0. Let i be 2 - (-213928)/13098 - -1. Let b = s + i. What is the common denominator of b and -37?
3
Let t be (-133853)/1*5/(-110). Let w = -6086 + t. Calculate the common denominator of -53/22 and w.
22
Let q be (-3)/6*1282 + 1. Let v = -14/11 + -320/77. What is the common denominator of (-38)/(-247) - q/234 and v?
63
What is the common denominator of 49/36 and (-82)/(-205) - 1042/80?
72
Let y = -69 - -21. What is the common denominator of 12/11 and y + 0 + 3 + -5?
11
Let u be -15 - -14 - (19 + 0). What is the least common multiple of -8*5/u*2 and 3?
12
Suppose 5*f = 2*s - 8, 8 + 11 = 3*s - 4*f. Calculate the smallest common multiple of s and 72.
72
Suppose 0 = 15*x - 8*x - 63. Suppose 0 = u - 0*u + 5, -38 = -2*v + 4*u. What is the smallest common multiple of x and v?
9
Let q = 1253 - 1244. Let p be 9/(-12) - (-26)/(-8). What is the smallest common multiple of (-31)/p + 2/8 and q?
72
Let r(u) = -u**2 + 3*u - 6. Let x be r(4). Let t be 60/8*(-2 + -4)*6. What is the common denominator of 39/11 and 1479/t + x/45?
110
Let g(x) = x**3 + 32*x**2 + 24. Calculate the smallest common multiple of g(-32) and 6.
24
Let l be 12*(-4 + (-4 - -5)). Find the common denominator of (-3)/(-5) - (-786)/(-660) and l/60 + 198/40.
220
Let p = 15/104 + 711/208. What is the common denominator of p and 67/21*63/84?
112
Let w(k) = -9*k. Suppose -u - 2*u + 158 = z, 0 = 5*u - 2*z - 278. Suppose 0 = -6*t + u + 66. What is the least common multiple of w(-2) and t?
180
Let h be 16/((-2)/1)*(1182 - -9). Let y = h + 171431/18. Calculate the common denominator of -2 + (-38)/(-12) + 1 and y.
18
Suppose -b + 53 = 37. Calculate the lowest common multiple of b and 26.
208
Suppose 33*i - 9878 + 275 = 0. What is the smallest common multiple of 30 and i?
2910
Let c be ((-93)/42 - -2)*(-19378)/24. Let l = c - 1275/7. Calculate the common denominator of 55/3 and l.
24
Let c be 2684783/(-292380) - 8/20. Let s = c - 4/4873. Find the common denominator of -41/20 and s.
60
Let i(j) = -5*j + 136. What is the least common multiple of i(0) and 85?
680
Let s = 8127281/252 - 32251. What is the common denominator of s and 109/144?
1008
Let m be 0/(-1) - (4 + -2). Let i = 6 + m. What is the least common multiple of 14 and (-20)/(i/2 - 3)?
140
Suppose 19*p + 868 = 26*p. Calculate the lowest common multiple of p and 4.
124
Calculate the common denominator of 13/2 and (-1 - (-78)/90)/(48/(-340)).
18
Calculate the common denominator of (-4)/(-48) + -2 + -1 and ((-178)/(-712))/(2/(-42)*-8).
96
Suppose 6*f + 637 = 89*f + 8*f. Suppose -2*i = 2*i - 40. What is the lowest common multiple of f and i?
70
Suppose 0 = -s - 5*y - 21, -s - 4*y = -8*y - 24. Calculate the smallest common multiple of (7 - s)/((4/6)/2) and 1.
9
Let z be (-4)/(-14) + 28554/(-2870). Let g = -3/82 + z. Let s = 97 + -49. Find the common denominator of g and s.
10
Let m = 37847/30 + -6294/5. Find the common denominator of 13/25 and m.
150
Suppose 0 = 3*t + 5 + 115. Let n = t - -43. What is the lowest common multiple of n and 4?
12
Suppose 0 = 29*v - 5908 + 1848. What is the least common multiple of 56 and v?
280
Suppose 39*i - 11*i = 1848. Calculate the lowest common multiple of 75 and i.
1650
Let g(s) = -2*s**3 + 33*s**2 - 15*s - 11. What is the smallest common multiple of 35 and g(16)?
35
Calculate the common denominator of -32/15 and (-2)/6 + (-692)/(-105) + -5.
105
Suppose -90 = -2*k + 154. Suppose -k = 5*m + 478. Calculate the common denominator of -39/11 and 1 + 3 - m/(-14).
77
Let a(z) = 27*z. Suppose -2*y = y - 3. Let i be a(y). Suppose 6*k - i = 9. Calculate the least common multiple of 8 and k.
24
Find the common denominator of 61/30 and (-1 + (-2567)/(-2805))*10/(-3).
990
Let y = 1133897/80 - 14174. What is the common denominator of y and (-2)/6*2/(-4)?
240
Suppose -348 + 62 = -143*u. Calculate the least common multiple of 466 and u.
466
Let x be (-2)/(-9) - (-16)/9. Suppose -x*r - 2 + 0 = 0. Let w(k) = -22*k. Calculate the lowest common multiple of w(r) and 22.
22
Let b = -916 + 950. Calculate the lowest common multiple of 36 and b.
612
Let k be (-1518 - 4 - 2) + 1. Let q = -15213/10 - k. What is the common denominator of q and 70/9?
90
Let l(y) = -14*y - 617. What is the lowest common multiple of l(-46) and 18?
54
Let x = -153 - -219. Let n = -38 + x. What is the lowest common multiple of 12 and n?
84
Let k = 142077/298606 - 201/539. What is the common denominator of -57/10 and k?
2770
Let d = 42647/6 - 7128. Let a = 8254 - 49399/6. Find the common denominator of d and a.
6
Let v(t) = 8908*t**2 - t - 1. Let j be v(-1). Let h = -196041/22 + j. What is the common denominator of h and -117/20?
220
Let b be 2/(4/6*-1). Let l = b + 11. Suppose 0 = -4*o + 6*h - 5*h + 46, 5*o - h = 57. What is the least common multiple of o and l?
88
Suppose -5*u = -7*u + 4. Suppose 2*z - 10 = f, 4*f + u = -3*z - 5. What is the least common multiple of 33 and z?
33
Let c = 13619 - 1225621/90. Calculate the common denominator of -5/24 and c.
360
Let l = -46 - -50. Let s be -3 - (27/3)/(-3). Suppose -2*g = -5*g + l*i + 50, 3*g - 2*i - 40 = s. What is the least common multiple of 22 and g?
110
Let m = 2443/138 - -29/46. Calculate the common denominator of m and 48/37.
111
Calculate the common denominator of 7/144 and ((-7494)/768 - -3) + 7.
1152
Calculate the smallest common multiple of 3 and 41/((9/(-18))/(6/(-4))).
123
Let t = 57 - 12. Suppose -3*v = 5*w - t, -w + 3*w - 60 = -4*v. What is the least common multiple of 3 + (-7 - -3) + v and 6?
42
Let h = 233 - 201. Calculate the least common multiple of 3 and h.
96
Let z = -159 - -111. Calculate the common denominator of -31/33 and (-4)/z*10*122/40.
264
Let o = 664 + -3293/5. Let x = -686467/40 - -17163. Let c = -3/40 + x. Calculate the common denominator of o and c.
20
Let w = 48 - 4. Suppose w + 52 = 3*l. What is the least common multiple of 4 and l?
32
Suppose 0 = -6*r + 3 + 15. Let x(b) = 2*b**2 - 5*b - 1. Calculate the lowest common multiple of 22 and x(r).
22
Let a = 667/2 + -300. Find the common denominator of -59/12 and a.
12
Suppose 2*i + 0*i - 6 = 4*b, -3*b = -2*i + 4. What is the lowest common multiple of (i + -1 - (-28)/12)*48 and 6?
48
Suppose -366 = -3*x + 3*t, -4*t - 236 = -2*x - 0*t. Calculate the least common multiple of 22 and x.
1386
Let b = 25 - 22. Find the common denominator of 17/3 and (2/14 - b) + -3.
21
Calculate the common denominator of 97/630 and 982/528 + (-70)/(-385).
2520
Let j = 1124/7 + -2129/14. Calculate the common denominator of -11/2520 and j.
2520
Let u = 339 + -335. Suppose 5*y = -3*t + 37, 2*t = -3*y + 3*t + 11. What is the least common multiple of u and y?
20
Let q = -1 - -5. Let n(p) = -2*p**2 + 39*p + 256. What is the lowest common multiple of q and n(-5)?
44
Let r = -209/1