5*r = 5*x - 5, -2*r + 4*x = -s + 3. What is the lowest common multiple of 18 and r?
18
Let s = -3645322 + 583253561/160. Let t = 213/32 - s. Find the common denominator of -93/2 and t.
10
Let r = -13 + 8. Let y(p) = p + 7. Suppose -5*h + 22 = -3*h - 4*a, -2*h - 14 = 5*a. Calculate the least common multiple of y(r) and h.
6
Let h = -1244 - -7525/6. What is the common denominator of (-437)/(-36) + 2/(-9) and h?
12
Suppose -2*j - 44 = -4*j. Suppose -3*s + 2*s = -j. Calculate the least common multiple of s and 26.
286
Let u be 5*(-4)/(20/(-3)). Suppose -u*r + 20 = -16. Calculate the common denominator of ((-2)/r)/(2/(-41)) and -119/18.
36
Let d = -552 + 4391/8. Calculate the common denominator of 25/14 and d.
56
Suppose -2*q - 18 = 4*a, 2*q + 24 = a - 9. Let m be 106/(-10) + 6/q. Let p = -7 - m. Calculate the lowest common multiple of 7 and p.
28
Let s = 66 + -42. Calculate the smallest common multiple of 8 and s.
24
Let t(h) = h + 10. Calculate the lowest common multiple of t(-6) and 18.
36
Let r = 32644 - 75113846/2301. Let i = r - -48341/23010. Find the common denominator of i and 61/4.
20
Let b = -1291/3 - -446. Calculate the common denominator of b and 26/33.
33
Find the common denominator of -13/54 and 601/231 - 10*4/70.
594
Suppose 16 = 2*t + 6. Suppose -t*v + v = -44. Calculate the least common multiple of v and 3.
33
Let q = 112 - 101. Calculate the lowest common multiple of q and 1.
11
Let i = 45 - 44. What is the least common multiple of i and 2?
2
Let w = 154172 - 2156155/14. Let q = w + -161. Let i = 29/15 + 289/60. Calculate the common denominator of q and i.
28
Let i be -1*5/(10/32). What is the least common multiple of 16 and (-75)/(-10)*i/(-10)?
48
Suppose 5*v = -4*j + 89, -2*v + 74 = 3*j + j. Let a = -32 - -45. Suppose -3*b - 5*y = a, 4*y + 4 = -2*b - 2*b. What is the least common multiple of j and b?
16
Let s = -553/135 - 2/135. What is the common denominator of s and -15/4?
36
Let d = 50 + -70. Let o = -10 - d. Suppose 22 = 3*t + o. Calculate the least common multiple of t and 8.
8
Suppose 3*u - 6*y + 3*y - 63 = 0, -4 = 4*y. Suppose 0*l + 2*l = u. What is the lowest common multiple of l and 10?
10
Suppose 0 = 5*a - 3*m - 35, -a + m + 15 = a. What is the smallest common multiple of 11 and a?
110
Let v = 7 + -4. Suppose -v*u = t + 4, -t = 2*t - 2*u - 10. Calculate the smallest common multiple of 11 and t.
22
Let k(w) = w**2 + 5*w + 2. Let c be k(-4). Find the common denominator of (-2)/8 - (-146)/72 and (-1 - c)*119/(-10).
90
Suppose 10 + 6 = 2*y - 3*v, 4*v + 8 = 0. Suppose -2 = -j + 3*k, -3*j + 3*k - y*k = -28. Calculate the lowest common multiple of 11 and j.
88
Let b = -35/73 + -2953/1606. Find the common denominator of -29/6 and b.
66
Let f(x) = x**2 + 6*x + 9. Let w = -11 - -17. Calculate the lowest common multiple of 4/w + (-20)/(-6) and f(-6).
36
Let t be (-4)/10 - 49/(-35). Calculate the common denominator of (9*-3)/(t - -3) and -2/11.
44
What is the common denominator of (-4 - 92/(-24))*-237 and -109/10?
10
Let n = -11 + 29. Calculate the smallest common multiple of n and (-21)/(-6)*(-720)/(-126).
180
Let n(q) = q**3 + 7*q**2 - q - 5. Let d be n(-7). Suppose 5*h + d*r - 6 = 114, -2*r + 10 = 0. What is the smallest common multiple of 28 and h?
308
Suppose 3*c - 5*x = -1685, 3*x + 195 = -c - 348. Let n = 1087/2 + c. Calculate the common denominator of -13/3 and n.
6
Let k = 7644/43 - 338397/1720. Let s = 53/5 + k. Let c = 56717/7432 - 6/929. Calculate the common denominator of c and s.
8
Let c = -40411 + 24777. Let p be 2/(-1) + c/(-168). Let r = p - 645/7. Find the common denominator of -33/4 and r.
12
Let s = 20239/6 - 3386. Let r = 193/12 + s. Calculate the common denominator of r and 95/12.
12
Let c be 2/13 - (-969983)/(-439660). Let g = 4/1691 + c. Calculate the common denominator of (-31)/14 - (-2 + 3) and g.
140
Let u = -40 + 62. What is the lowest common multiple of (1/(-3) + 1)/(15/270) and u?
132
Suppose 5*m - 4 - 11 = 4*s, -4*s = -m - 13. Calculate the common denominator of (-2)/m - 1188/448 and 57/10.
80
Let w(i) = -1 + 3 - 1 + 14*i. Let d be w(3). Suppose -d = -3*c - 1. What is the smallest common multiple of 4 and c?
28
Let c be (-2)/(-8) - (-44459)/(-6260). Let t = -15/313 + c. Let l = -7/8 - -13/8. What is the common denominator of t and l?
20
Let r(u) = u**3 - 5*u**2 + 6*u - 1. Calculate the smallest common multiple of r(4) and 4.
28
Suppose -3*u + 2*s - 1 = -16, -6 = 3*u + 5*s. Suppose j + u*j = 36. Suppose d - 7 = 4*b, b - 5*b = d - 15. Calculate the smallest common multiple of j and d.
99
Let p = 2 + 8. Let b = p + -3. Suppose -o - o + 18 = 0. Calculate the lowest common multiple of o and b.
63
Let b = 15509/7 + -2212. Calculate the common denominator of 1/6 and b.
42
Let k be -2 + (0 - 1275/(-696)). Let o = -7891/2088 - k. Calculate the common denominator of -23/2 and o.
18
Let v = -20611 - -412127/20. Calculate the common denominator of v and -83/10.
20
Let h = -76/23 - 141/368. Let z = -7/2179 - 1108901/65370. Let w = 376/15 + z. What is the common denominator of h and w?
80
Let h = 136 - 127. Calculate the lowest common multiple of h and 26.
234
Let p be (956/(-102637))/((-155)/(-14923)). Let y = 1/102637 - p. Let m = 1/310 + y. Calculate the common denominator of -25 and m.
10
Let t = 0 - -3. Let d(f) = f**2 + 10*f. Let o be d(-8). Let k = -13 - o. What is the lowest common multiple of k and t?
3
Let t = -124940/167657 + 4/3899. Calculate the common denominator of -25/6 and t.
258
Let u(k) = 9*k**3 + k**2 - k + 1. Let f be u(1). Calculate the least common multiple of -4 + (f - (-6 - -4)) and 2.
8
Let o = 337661 + -1342317/4. Let t = 2103 - o. Find the common denominator of (-39)/(-5) - 12/20 and t.
20
Let d = 45/58 - -1355/29. Calculate the common denominator of (21/(-2) - 0) + -2 and d.
2
Let b = -148059/20 - -7399. Calculate the common denominator of b and -101/4.
20
Let g = -43809238 + 788762027/18. Let p = 10880 - g. Calculate the common denominator of 5/2 and p.
18
Suppose -34 = 3*m - 10. Let d = m + 12. What is the least common multiple of d and 16?
16
Let h = 139789/12 + -11642. Let z = -7657876101/7335230 + 11/104789. Let d = z - -5206/5. Find the common denominator of h and d.
84
What is the common denominator of ((-18)/(-8))/((-5)/15) and -121/12?
12
Suppose 0 = -j - 5, -3*j + 1 = 2*b - 2*j. Suppose 3*o - 4*o + a + 2 = 0, -3*a - 12 = -4*o. What is the least common multiple of b and o?
6
Let i(m) = -m**3 - 5*m**2 - m + 7. Let p be i(-5). Suppose 4*y - 12 = p. What is the lowest common multiple of y and 8?
24
Find the common denominator of (-4)/(-6) + 127/(-42) and 113/12.
84
Let d(o) = o. Let c be d(9). Suppose 0 = j - c - 1. Suppose -b + j + 0 = 0. What is the lowest common multiple of 10 and b?
10
Suppose -4*q + 42 = 5*i - 4*i, -28 = -i + 3*q. Calculate the lowest common multiple of i and 7.
238
Let p(o) = o**2 - 5*o + 1. Let j be p(6). Suppose 0 = 3*a + 2*a + 5. Let c = j - a. Calculate the smallest common multiple of c and 11.
88
Suppose 5*p = 5*r - 45, -4*r - p + 4*p = -37. Let o be (16/(-3))/(2/(-18)). Suppose o + 12 = 5*c. Calculate the lowest common multiple of r and c.
60
Let x be (-6)/(0 - 1 - 1). Suppose -x*z = -z + 4396. Let j = z + 10952/5. What is the common denominator of j and 31/2?
10
Let y = -17489/2940 + -33/245. Calculate the common denominator of 1/2 - (-25)/(-3) and y.
12
Calculate the common denominator of (-637)/28 - 2/(-2) and 99/4.
4
Let h(c) = c + 5. What is the least common multiple of h(-3) and 24?
24
Suppose -4*d - 18 = -d. Calculate the smallest common multiple of 6 and d/(-4)*84/18.
42
Let g be (-32)/(-7) - 6/(-14). Suppose -2*u = g*p - 112, 5*u - 89 = -4*p + 4*u. Calculate the smallest common multiple of 8 and p.
88
Let c = -124419/10 - -12430. What is the common denominator of 113/186 and c?
930
What is the common denominator of 3 + 2/4*636/(-24) and 61/2?
4
Find the common denominator of 81/2 and 9/12*24/20.
10
Suppose 2*u - 34 = -3*i - 12, 0 = -5*u + 25. Suppose i*x - 3*j - 56 = j, 0 = -2*x + j + 28. Calculate the lowest common multiple of 14 and x.
14
Let a(t) = -t + 5. Let i be a(5). Suppose 2*s = 4*z, z - s - 1 + 0 = i. Find the common denominator of -109/22 and -2 + (69/66 - z).
22
Find the common denominator of (-14)/8*(1 - (-13)/(-3)) and 41/3