 - 45 = 3*x, -x + 55 = 4*t - 4*x. What is the lowest common multiple of t and 30?
30
Let m = 15238/4653 - -3/1034. Let z = 1663/56 + -242/7. What is the common denominator of m and z?
72
Let m be (-64192)/(-6) + 10/(-15). Let n = -149703/14 + m. What is the common denominator of 6/(-45)*(-69)/4 and n?
70
Let d(u) = -u**2 + 4*u**2 + 2*u - u - 2*u**2. What is the smallest common multiple of d(2) and 6/4 + 2/(-4)?
6
Let j be -2 - -17*(1 + 0). Suppose 2*z + z = j. Suppose 6*b - b = 2*u - 4, z*b - 10 = 0. What is the least common multiple of 11 and u?
77
Calculate the lowest common multiple of (-25 - -18)/(1/(-4)) and 8.
56
What is the common denominator of 11/15 and 43/(-30) - 7/42?
15
Suppose 6*z = 2*z + 20. Suppose 3*j = -j. Suppose -x - 2*l + 7 = j, 2*x + 2*l - 14 = 4*l. What is the least common multiple of z and x?
35
Suppose 0 = -5*u + c - 12, -5*u + 3*c + c = 3. Find the common denominator of 97/10 and 49/(u + 4/2).
10
Let w(o) = 4*o - 1. Let r be w(1). Calculate the common denominator of ((-2)/(-18))/((-4)/(-402)) and (3/((-27)/(-159)))/r.
18
Let i = 21 + -15. Let p = 10 - i. Suppose 2*v + 0*v = -p*w + 20, 2*w = 4. Calculate the smallest common multiple of 8 and v.
24
Calculate the common denominator of 542/(-48) - 12/9 and 55/4.
8
Suppose -2*g = -2*p + p - 1, 2*p = 2*g + 6. What is the common denominator of (p - 6)/(10/(-88)) and -31/9?
45
Let f = -35 + 49. Calculate the lowest common multiple of f and 2.
14
Let z be 3 + 0/(1 + 0). Suppose 0 = -8*d + z*d + 15, 4*l - d - 85 = 0. Calculate the smallest common multiple of l and 12.
132
Let j = -10/43 + 1803/172. Find the common denominator of j and 6/11.
44
Let o = -6 - -6. What is the least common multiple of 4 and 3 - -5 - (o - 2)?
20
Let n(d) = 13*d - 1. Calculate the common denominator of 83/8 and n(-2).
8
Let b = 20561/884 + -2/221. Calculate the common denominator of b and 103/10.
20
Suppose -9 = -c - 0. Let w be (4/2 - -1)/1. Let d = c + w. What is the least common multiple of d and 14?
84
Suppose 3*q - 16 = 2*z - 46, 0 = 5*q + 20. Calculate the smallest common multiple of 3 and z.
9
Suppose 12*n - 11*n = 2. Suppose 21 = -3*a + 6*a. Calculate the least common multiple of a and n.
14
Let a = 1 - 7. Let q = 8 + 0. Calculate the smallest common multiple of q and ((-4)/6)/(4/a).
8
Let x = 48 + 32. What is the lowest common multiple of 6 and x?
240
Let v = 2/191 - -149/4011. What is the common denominator of v and -38/27?
189
Suppose 5*t = -x, x - 1 = 3*t - 17. Let i be (-8774)/x*3/(-6). Let r = -440 - i. Calculate the common denominator of -97/14 and r.
70
Let u = -99/28 + -257/56. Find the common denominator of -61/54 and u.
216
Let m = 48085/22 + -2185. Calculate the common denominator of 77/8 and m.
88
Let p(s) = 4*s + 2. Let i be p(4). Calculate the smallest common multiple of ((-6)/(-9) - 0)*i and 10.
60
Suppose 4*x - 486 = 458. Suppose -x = f + 737. Let d = f + 10677/11. Find the common denominator of d and 23/4.
44
Suppose -2*f - 2*f + 91 = 3*v, -2*f - 3*v = -47. Calculate the lowest common multiple of f and 9.
198
Calculate the common denominator of (-496)/(-108)*3/2 and -87/38.
342
Let h = 59 - 34. Let n = 47 - h. What is the smallest common multiple of n and 10?
110
Let b = -435/2 + 259. Find the common denominator of 101/4 and b.
4
Suppose 10*j + 4 = 14*j. Let g = 2 + j. Let c = -1 + g. What is the smallest common multiple of 24 and c?
24
Let c = 4122 + -24601/6. Find the common denominator of (-19)/(-5)*(-6)/16 and c.
120
Suppose -4*u - 2*h + 2 = -10, -3*u = -h - 4. Find the common denominator of (-147)/48 - (-1 - u) and -101/2.
16
Let q = 36 - 18. Calculate the common denominator of 12/q + (-125)/12 and (1/22)/((-5)/235).
44
Suppose 0 = -2*b - 3*v + 7 + 3, -2*v + 5 = 3*b. Let k be 30/3*(0 + 1). Calculate the common denominator of -151/6 and (b + k)*(-18)/16.
24
Let f be 3 + (2 - 3) + -8. Let w(g) = -9*g + 6. Let d be w(f). Suppose -3*h + 0*h - d = 0. Find the common denominator of -46/9 and h.
9
Let i be 6/(-15) + (-144)/(-10). Suppose s + 1 = 2*b - 5, s + i = 4*b. What is the lowest common multiple of 4 and s?
4
Suppose -2*k = -3*y - 43, k + 4*y = -3 + 19. Let f = k + -6. Calculate the lowest common multiple of f and 14.
14
Let i = 25961/7 - 3715. Calculate the common denominator of i and -5/2.
14
Suppose 3*k - 32 = a - 2*a, 3*k - 2*a - 26 = 0. Calculate the lowest common multiple of 316 and k.
1580
What is the common denominator of 45/14 and (9 + -3)/(8/(-30))?
14
Suppose 0*v - 2*v = 16. Let n = v + 5. Let o = 3 - n. Calculate the least common multiple of o and 8.
24
Let c = 592/11 + -7023/154. Let r = 974 - 1849/2. What is the common denominator of c and r?
14
Suppose -m = 3*v + 3158, -2*v - 5*m + 3164 = -5*v. Let n = 45281/43 + v. Let a = 3343/688 - n. What is the common denominator of -119/18 and a?
144
Suppose w = 3*u - u + 14, -41 = -4*w + 3*u. Let q(a) = -a**2 + 11*a - 2. What is the least common multiple of (3 - 2)/(1/6) and q(w)?
66
Let a = 2 + -3. Calculate the common denominator of 3/11 and -1 - a*(-363)/18.
66
What is the common denominator of 27/4 and (-3)/(-9) - 217/66?
44
Let a(v) = v**3 - 8*v**2 + 15*v - 7. Calculate the least common multiple of 10 and a(6).
110
Let x = 10392 + -166325/16. Let f(j) = j**3 + 8*j**2 - 9*j - 10. Let m be f(-9). Calculate the common denominator of x and 47/10*(-25)/m.
16
Let r = 289 + -627/2. Let x = -17641/14 - -1262. Calculate the common denominator of x and r.
14
Suppose r - 5*q = 31, 5*q + 17 = 2*r - 20. What is the lowest common multiple of 2 and r?
6
Let s(o) = -o**3 + 9*o**2 + 12*o - 11. What is the smallest common multiple of s(10) and 2?
18
Let k = 5 - 13. Let t = k - -20. Find the common denominator of -23/6 and (-74)/56 + (-3)/t.
42
Let u be (100 - -1) + -1 + 2. Let z = u + -703/7. Let g = -425 + 1727/4. What is the common denominator of z and g?
28
Let h(j) = -2*j**3 + j**2 + 2*j + 1. Let n be h(-1). Suppose n*y - 22 = k + k, -5*y + 31 = 3*k. What is the lowest common multiple of y and 13?
104
Suppose -7*j + 3 + 25 = 0. What is the least common multiple of 1*3*4/3 and j?
4
Let k(u) = -u**3 + 7*u**2 - 11*u + 4. Calculate the smallest common multiple of k(4) and 96.
96
Let l = -79448/27 + 2943. What is the common denominator of l and -103/12?
108
Suppose -u + 28 = 8. Find the common denominator of (-10)/(-8)*138/u and 2050/(-560) + (-2)/(-7).
8
Let t = -3643/84 + 240/7. Calculate the common denominator of (-318)/81*3/4 and t.
36
Suppose 7*s - 36 = 3*s. Let h = 19 - s. Calculate the least common multiple of 4 and h.
20
Suppose 4*d + 4*r - 61 = -1, -4*d + 36 = -4*r. What is the lowest common multiple of (d/6)/((-2)/(-3)) and 10?
30
Suppose 0 = -u + 5*v - 5, 4*v - 3 - 1 = 5*u. Suppose 3*x = -u*x + 3. What is the least common multiple of 6 and x?
6
Let z(j) = -4*j**3 - j**2 + 1. Calculate the lowest common multiple of z(-1) and -2 + 2 + 8/1.
8
Suppose -8 = -r + 35. Suppose -3*y = 5*q - r, 1 = 2*q + 3. What is the smallest common multiple of y and 20?
80
Let t = -7 + 13. What is the lowest common multiple of (-4)/6*(t + -18) and 9?
72
Let i = -20 + 36. Let d = -6 - -11. Suppose 4 + 6 = d*w. What is the smallest common multiple of i and w?
16
Let g = -8 + 25. Find the common denominator of g and -49/11.
11
What is the lowest common multiple of -24*-1*(-4)/(-12) and 7?
56
Let w = -2/1309 - -56307/13090. Find the common denominator of 25/12 and w.
60
Suppose 1 = -d + 3. Calculate the smallest common multiple of d and 10.
10
Let z(t) = -3*t + 92. Let m be z(0). What is the common denominator of -67/4 and 12/(-20)*m/8?
20
Let p = 12115/1194 - -4/199. Let w = 921/835 + -1/334. What is the common denominator of w and p?
30
Suppose -5*m + 5*q = -2*m + 41, m = -4*q - 8. Find the common denominator of -81/22 and (178/m)/((-22)/6).
22
Calculate the least common multiple of 42 and 99/((-12)/(-8) + 0).
462
Let w(u) = u**2 + 7*u + 8. Let l = 40 - 20. What is the lowest common multiple of l and w(-6)?
20
Let w(s) be the third derivative of -s**6/12 + s**5/60 + s**4/24 - 2*s**2. What is the lowest common multiple of w(-1) and 5?
10
Let d(w) = 14*w**2 + w. Let a be d(1). Calculate the least common multiple of (4/6)/(10/a) and 11.
11
Let k = -8374484771621/394087403724 - -38/63603519. Let w = -1/3098 - k. Find the common denominator of w 