180
Let k = -825 - -915. What is the smallest common multiple of k and 36?
180
Suppose -4*z - 22 = -5*z. Suppose -6 = 4*m + 3*g, -4*m + 8 = -g + z. What is the lowest common multiple of 8 and (-2)/(-10)*m*-5?
24
Suppose 4*w = 33 + 3. Let t = w + -15. Find the common denominator of ((-8)/36)/(t/177) and -67/4.
36
What is the smallest common multiple of 46 and 10 - ((-32)/(-24) - 12/9)?
230
Suppose l = -a + 9, 2*a + 5*l = -a + 21. Let o = -8 + 13. Suppose 2*q - o*q = 2*s - 32, 2*q - 3*s = 43. Calculate the smallest common multiple of q and a.
84
Suppose -5*p + 10*p = -4*c + 155, -39 = -2*p + 3*c. Let r(v) = -v**3 + 26*v**2 + 26*v + 31. What is the lowest common multiple of r(p) and 2?
4
Let k be (6/8)/((-2)/8). Suppose 2*i + 2 = -4*j, -3 = -3*j - 2*i + 5*i. What is the least common multiple of 18 and k*(j + -1 - 3)?
36
Let f = 889/6 - 2257/15. Let k = 2/1489 + -86376/10423. Find the common denominator of k and f.
70
Suppose 0*c = 2*c + 2. Calculate the common denominator of (179/4 - c)*48/(-1224) and -6/11.
374
Let q(z) = -z**3 + 7*z**2 - z - 8. Let v be q(7). Suppose -j + 0*j = -2. Calculate the common denominator of (603/(-12))/(v/j) and 79/14.
70
Suppose -31*k = -699 - 3021. Calculate the least common multiple of k and 4.
120
Let g(d) = 6 - 3*d + 1 - 5. What is the smallest common multiple of g(-4) and (-9)/(-2 + (-39)/(-26))?
126
Suppose -204 = -3*o + 4*b, 61 = o + 2*b + 3. What is the smallest common multiple of o and 54/(-12)*(-4)/3?
192
Let k = 57 - 51. Suppose -3*a - k = -s - 5*a, s - a - 12 = 0. Calculate the smallest common multiple of 10 and s.
10
Let m = -45 - -57. Let s(v) = 2*v**2 - 22*v - 13. Calculate the smallest common multiple of ((-2)/1)/((-7)/14) and s(m).
44
Let z(u) = -u**2 + u - 4. Let s be z(-6). Let h = s - -70. Suppose 2*n - h = -n. Calculate the least common multiple of n and 26.
104
Let s = -2/91 - -5401/1456. What is the common denominator of 514/60 - (-6)/(-36) and s?
80
Let r = -6077/426 - -7/71. Let s = -736271/305 - -2414. Let k = 11593/915 + s. Calculate the common denominator of r and k.
6
Find the common denominator of (58/(-3))/((-56)/24) and 22/(-33) - 1/((-48)/(-286)).
56
Let i = 68566/109259 + -2/19281. What is the common denominator of i and -91/12?
204
Calculate the common denominator of 49/45 and (-1188)/15*(-2)/16.
90
Let f = 476643 + -23831361/50. Let b = f - 342/25. Calculate the common denominator of -75/2 and b.
10
Let r = 138616/30481 + -6/2771. Calculate the common denominator of 59/3 and r.
33
Let z = 14 + -14. Suppose 0 = -k - 12 - z. What is the common denominator of 15/k - -2 - 6 and 67/20?
20
Let p = 2343 + -2310. What is the lowest common multiple of 414 and p?
4554
What is the common denominator of (-354)/(-4)*39/936 - 5 and 23/394?
3152
Suppose 4*a - 3*j = 43, j + 29 = 4*a - 12. Let q = -10 + 14. Let c(r) = -r**3 + 5*r**2 - 2. Calculate the smallest common multiple of c(q) and a.
70
Find the common denominator of (36/3)/(-3) + (-17290)/(-4312) and -111/140.
1540
Let u(l) = -l**3 + 28*l**2 - l + 34. What is the smallest common multiple of 24 and u(28)?
24
What is the common denominator of (3/(-2))/(-1)*400/16 and 13/45?
90
What is the lowest common multiple of 72 and (-96)/(-168) + (-496)/(-14)?
72
Let g be (2 + (-16)/6)*-2766. Suppose -g = 4*c - 3*c. Let s = -12862/7 - c. Find the common denominator of s and -57/2.
14
Let v(l) = -2*l. Let y be v(-2). Suppose -y*o + 7*o + 3*q = 30, 0 = o + 4*q - 22. Calculate the lowest common multiple of o and 14.
42
Calculate the common denominator of (-6453)/(-810) - 2/(-6) and -2 - -1 - (-452)/48.
60
What is the least common multiple of 24 and (7/4 + -1)/((-3)/(-120))?
120
Suppose -a + 5 = -2*y, 3*y - 6*a = -2*a - 20. Suppose 3*p = -5*n + 290, p + y*p - 78 = 3*n. What is the lowest common multiple of 12 and p?
180
Suppose 0*v - 2*r = -5*v + 298, 0 = -2*v + r + 119. Calculate the least common multiple of 135 and v.
540
Let d = 48971/6 - 8144. What is the common denominator of d and 2/(-16)*508/15?
30
Let w = -1970 + 43323/22. Calculate the common denominator of w and 99/10.
110
Suppose -2*k = -4*q + 6230, -3*q + 4*k = 2*k - 4674. Suppose 3*r = -q - 1468. Calculate the common denominator of -2/5 and 4/14 + (-3800)/r.
90
Let y = -8 - -8. Suppose 2*m = 5*j - 51, -j - j + 4*m + 30 = y. Suppose 0*x - x = -j. What is the smallest common multiple of 7 and x?
63
Let y be (8 + -10)*(-2 - -47). Calculate the common denominator of -97/4 and y/11*(-9)/36.
44
What is the least common multiple of (-309)/(-21) + 6/21 and 25?
75
Let b = 2050073/44 - 46591. Let s be (1 + 5413)*(-2)/8. Let t = s + 1310. Find the common denominator of t and b.
44
Suppose 2*l = 3*l - 29. Let g = 33 - l. What is the least common multiple of 51 and g?
204
Suppose -q + 5*j + 4 + 4 = 0, 4*j + 124 = 5*q. Calculate the lowest common multiple of 91 and q.
364
Let g = -2273/14300 + 17/325. Find the common denominator of 99/260 and g.
2860
Calculate the common denominator of ((-868)/42)/((-5)/(-3)) and 31/2.
10
Suppose -5*s + o = -114, 3*s = -2*s - o + 106. Calculate the lowest common multiple of 28 and s.
308
Let g = -12790/27 + 473. Find the common denominator of -29/3 and g.
27
Let k = 3443/30 - 320/3. Find the common denominator of k and 137/30.
30
Suppose 9*i + 15 = 4*i. Calculate the smallest common multiple of 10 and i*(-8)/(-12) + 38.
180
Let v(t) = 8*t**2 - t + 2. Calculate the least common multiple of v(1) and ((-30)/8)/((-39)/156).
45
Calculate the common denominator of 20 and 1/16*(-147 - (9 - 10)).
8
Let n be 1*-4 - (-21)/3. Suppose -1 - n = -v. Suppose 8*y - 20 = v*y. What is the smallest common multiple of y and 10?
10
Let q = 307/20 + -73/5. Let y(n) = 5*n**2 + 8 - 4*n + 0*n**2 - 4 - 8*n**3 + 9*n**3. What is the common denominator of y(-6) and q?
4
Let l = -18 - -74. Let s be 3 - (0 - 2116/l). Let u = s + -72/7. Calculate the common denominator of -151/6 and u.
6
Let t = -25/94 - -1712/517. Calculate the common denominator of 25/30*(-376)/(-40) and t.
66
Let k = 513241/1191960 - 1/33110. What is the common denominator of k and -5/48?
144
Let u = -80 + 78. Calculate the common denominator of 0 - u - (-3)/(66/(-100)) and -21/10.
110
Let f = 38740583779/12 - 3222252926. Let t = -6125470 + f. Let d = 3575 - t. Calculate the common denominator of d and 7/4.
12
Suppose 4*l = -5*i + 6, 3 + 1 = 2*i + 2*l. Calculate the least common multiple of (i - -9) + (-1 - 0) and 20.
60
Let h(b) = b**2 + 9*b - 4. Let g be h(-10). Let d = -2 + g. Calculate the least common multiple of 9 and ((-4)/d)/((-3)/15).
45
Suppose -m + 7 = a, -27 = -3*m + 3*a + 18. Suppose -m*o + 4 = -13*o. Calculate the lowest common multiple of 4 and (8 - o) + (-12 - -8).
12
Let p = 19826 + -297341/15. Find the common denominator of (7/48)/(2/(-68)) and p.
120
Let r = -371/2 - -1481/8. Find the common denominator of r and 47/1276.
2552
Let c = 463 - 462. Suppose 0*h + 2*h = 20. What is the lowest common multiple of c and h?
10
Let x(f) = 13*f - 8. Calculate the smallest common multiple of x(2) and 63.
126
Calculate the least common multiple of ((-68)/12 + 3)/((-3)/117) and 6.
312
Let c = -2894 + 28827/10. Find the common denominator of c and 47/7.
70
Suppose 0*l = -3*l + 3. Let s = l + -43. Let d = 3207 + -35252/11. What is the common denominator of d and s?
11
Let w be (0 + -1)*(-60)/(-12). Let x(l) = 3*l + 18. What is the smallest common multiple of x(w) and 16?
48
Suppose 5*d = 3*a + 10, -3*a + 2 = d + 18. Find the common denominator of 77/15 and 2022/180 + 2/a - 2.
30
Suppose 4*t + 1 = 2*f - 5, 0 = -3*f + 5*t + 11. Suppose -4 - 5 = -c. Suppose -c = -4*g + f. Calculate the least common multiple of g and 12.
12
Let q = 2 - -20. What is the least common multiple of q and (3 - -1 - 1) + -1?
22
Let h(m) = 3*m**2 - 4*m + 2. Let l be h(2). Suppose -9 = o + 5*f, -12 = 2*o - 5*f + l. What is the smallest common multiple of 2/o + (-166)/(-18) and 11?
99
Let r(v) = v**2 + 6. Let s be 0/(((-2)/1)/(-2)). Let i be r(s). Suppose i*z - 4*z = 24. What is the common denominator of 19/7 and z?
7
Let z(w) = w**3 - 4*w**2 + 2. Let p be z(2). What is the common denominator of (-352)/24 - (-1)/p and -1/10?
30
Suppose -q = -2*q + 21. Suppose 4*l = a - 65, 8*a - 3*a = 4*l + 85. Let x = l + q. Calculate the least common multiple of 4 and x.
12
