?
4180
Let a = -8972/507 - -5/169. What is the common denominator of (-3)/4*7/(-21)*98 and a?
6
Let d = -11534 - -380698/33. What is the common denominator of d and -52/63?
693
What is the lowest common multiple of 2*-3*(-22)/4 and ((24/10)/(-2))/((-940)/2350)?
33
Suppose 0 = 4*c - 528 - 432. Calculate the smallest common multiple of c and 96.
480
Let x = 50 - 35. Suppose -h + 4 = -3. Let c = x - h. Calculate the smallest common multiple of c and 18.
72
Let u = -2183/114 + 120/19. Calculate the common denominator of 1 + -1 + (-100)/(-22) and u.
66
Let o = 67925483/268 - 253453. What is the common denominator of -111/40 and o?
2680
What is the common denominator of -39/4 and 73/(-4)*(-37)/(-814)?
88
Suppose -17 = 4*q + 3*t + 2*t, 0 = 2*q - 2*t - 14. Let g = 151 + -146. Calculate the smallest common multiple of g and q.
10
Let r(z) be the third derivative of 5*z**4/24 - 3*z**2. What is the smallest common multiple of 7 and r(2)?
70
Let n = -46/153 + 9584/32895. Let h = 9239429913/430 - 21487056. Let b = h + n. What is the common denominator of b and 87/4?
20
Let y be ((-959)/3322)/(5/95). Let c = y - -135/151. Calculate the common denominator of c and 33/4.
44
Suppose 3*a + 2*a - 20 = 0. Let x = 5 - a. Calculate the smallest common multiple of 8 and x.
8
Find the common denominator of 121/18 and 100/(-40)*1/3.
18
Let b(d) = 7*d**2 - d - 2. Suppose 0 + 2 = -2*o. What is the least common multiple of 1/(0/(-1) - -1) and b(o)?
6
Suppose p + 48 = 176. Let z be ((-4)/18)/(p/20458824). Let s = -35525 - z. What is the common denominator of -53/14 and s?
168
Let h(d) = d**2 + 8*d - 4. Let j be h(-9). Let m(s) = s**2 - 2*s - 5. Let p be m(j). What is the smallest common multiple of 1 and p + -9 + 4/1?
5
Let z be 4/4*(8 - 4). Suppose -h + z*u + 9 = 0, 4*h - 23 - 13 = -3*u. Calculate the smallest common multiple of 2 and h.
18
Suppose -4*w + 32 = 112. Let a = -12 - w. Calculate the least common multiple of a and 10.
40
Calculate the common denominator of (-33)/44*(-9)/8 and 85/48.
96
Suppose 2*h + 5638 = 4*t, -11*t + h = -12*t + 1411. Calculate the smallest common multiple of 4 and t.
2820
Let u = 129 - 124. Let p(y) = -y**3 + 4*y**2 + 6*y + 7. Let j be p(5). Suppose -5*n = 5*g - 45, -j + 4 = -2*n. What is the smallest common multiple of u and g?
5
Let d(k) = k + 2. Let u be d(6). Let w = u - 4. Suppose -3*z - 4*b + 13 = 0, -4*z + z - 3*b + 12 = 0. Calculate the least common multiple of z and w.
12
Calculate the least common multiple of 12 and (-324)/9*1/(-2).
36
Suppose -3*c - c - 6329 = -3*j, 2*j + 4*c = 4186. Let q = 34789 + -326899/10. Let y = j - q. Calculate the common denominator of y and 33/20.
20
Let t = 52 + -30. Let b = 30 + -32. Let i = b + t. Calculate the smallest common multiple of i and 6.
60
Let v = -229 - -283. Calculate the smallest common multiple of v and 12.
108
Let f = -140 - -194. Calculate the smallest common multiple of f and 12.
108
Suppose 4 + 7 = 4*u - 5*x, -4*u = -2*x - 14. Suppose -u = 4*c - 12. Suppose -3*l = 4*w - 86, l - 7 - 5 = c*w. Calculate the lowest common multiple of l and 10.
110
Let i = 50027/6 - 8362. Let k = 663/16997 - 26136134/39518025. Let c = k + -50/93. Find the common denominator of i and c.
150
Let q be 5/(2*(-2)/(-104)). Suppose 0*k + 84 = -2*k - 2*o, -q = 3*k + 5*o. Let d = 4/6969 - 76679/34845. Find the common denominator of d and k.
5
Find the common denominator of 109/40 and ((-117)/(-18))/13 - -21.
40
Let i be (-1 - -1) + (-6 - 47). Let c = i - -99. Let j = c - 30. What is the smallest common multiple of j and 20?
80
Let f = -31/46 - -1537/506. Let q = 8908 + -133688/15. Let h = q + 79/120. Calculate the common denominator of f and h.
88
Suppose -198 + 450 = 14*z. What is the lowest common multiple of 81 and z?
162
Let n be 10/(-12)*1295356/60. Let v = n + 17984. What is the common denominator of -21/20 and v?
180
Let g(w) = -w**3 - 3*w**2 + 7*w + 1. Let t = 0 - 5. Let n be g(t). What is the common denominator of (19/3)/(n/(-12)) and -67/9?
36
Let c(g) = 2*g + 4. Let d be c(-7). Let x = d + 13. Suppose b - 3 - x = 0. What is the lowest common multiple of 16 and b?
48
Suppose -321 + 51 = -6*u. Suppose 0 = i - w + u, -4*i - 2*w - 103 - 77 = 0. What is the common denominator of i and -17?
1
Suppose 0 = -32*q + 206 - 78. What is the smallest common multiple of 444 and q?
444
Let g(x) = -5*x - 5. Suppose 22*s + 26*s - 1440 = 0. Calculate the lowest common multiple of s and g(-4).
30
Let v be (-4)/6 + (800/15)/5. Suppose 4*p = v + 30. Let o(j) = -j**2 - 6*j + 4. What is the smallest common multiple of o(-5) and p?
90
Let c be -4 + (7 - (-1)/(-1)). Suppose -4*m = 2*l - 26, 0 = -l + 5*m + 1 - c. What is the smallest common multiple of l and 8?
72
Suppose 9*i + 4*u - 60 = 6*i, -2*i + 26 = -2*u. Let h(g) = 13*g**2 - g. What is the lowest common multiple of i and h(-1)?
112
Let l(s) = -2*s - 4. Let a be l(-3). Calculate the lowest common multiple of ((-48)/9)/(a/(-9)) and 160/25*(-5 + (-30)/(-4)).
48
Let y = -3267187/85 + 38438. What is the common denominator of -77/45 and y?
765
Suppose -5*g + 2*y = 46, 2*y + 14 = -g + 4*y. Let z = -9863/4 + 2441. Calculate the common denominator of (-1)/g - (-323)/68 and z.
8
Suppose 80 = -12*t + 20*t. What is the least common multiple of t and 458?
2290
Let u(l) = l**3 + 7*l**2 - l + 30. What is the lowest common multiple of 90 and u(-6)?
360
What is the common denominator of -1/24 and ((-1188)/(-56))/(42/49) - 6?
24
What is the common denominator of 4/22 - (-10780)/(-91234) and 57/8?
3016
Let m(i) = 5*i - 54. Let f be (25 - 9) + (1/(-1) - 0). Let d = -5698 + 62723/11. What is the common denominator of d and m(f)?
11
Suppose -2*c = -3*s + 22, 1 + 3 = 4*c. Suppose 0 = 3*z + 5 - 26. What is the smallest common multiple of z and s?
56
Let f = 23 + -19. Suppose f*z = -z + 10. Let o(c) = c**2 + 2*c - 5. Calculate the least common multiple of z and o(-4).
6
Let u(t) = -t - 2. Let n be u(-3). Let c be n/3*323586/(-120). Let a = c + 4477/5. Find the common denominator of -137/18 and a.
180
Suppose 7*f - 5*f = -40. Find the common denominator of 32/11 and (-197)/f + 2/(-8).
55
Let c = -11675/5808 - -518/121. What is the common denominator of c and 43/32?
96
Let v be (-516)/(-2720)*(-13165)/2. Let r = v + -241/272. Let l = r - -1262. Calculate the common denominator of l and -50/13.
104
Let z(j) = -j**2 + 8*j - 13. Let n be z(6). Let u be n/((20/8)/5). Find the common denominator of 21/8 and u/12 - 368/(-12).
8
Suppose -12 = 2*d + 34. Let i = d + 35. Suppose i = 3*x, -z + 4 = z - 5*x. Calculate the smallest common multiple of z and 16.
48
Let w = -108 + 124. Calculate the lowest common multiple of 152 and w.
304
Let t(f) = f + 34. What is the lowest common multiple of t(-10) and 228?
456
Let g = 6855587/84 + -81613. Find the common denominator of g and -40/171.
4788
Let z = 17 + -19. Let m be (16/(-2) - 2)/z. Suppose 2*f = 4*f + 4*b - 24, -m*f - 4*b + 54 = 0. What is the lowest common multiple of f and 10?
10
Let m = 253 - 149. What is the least common multiple of 6 and m?
312
Suppose s - 231 = -20*s. Calculate the least common multiple of 171 and s.
1881
Let k = -758/21 + 13913/336. Suppose 0*h + 3*t - 39 = 3*h, h + t + 7 = 0. Calculate the common denominator of k and (-111)/h + 2 - 1.
80
Let g = 75 - 42. Let m = g + -32. What is the lowest common multiple of m and 6?
6
What is the smallest common multiple of (37 + -41)/(96/(-47) - -2) and 3?
282
Let y = -5653/21 + 793/3. Suppose -26 + 16 = 2*t. What is the common denominator of y and 540/99 - (-1 - t)?
77
Suppose -8 = -2*n + 4*s - 2, 0 = 2*n + 2*s - 6. Let p(y) = -y**2 + 9*y - 7. Calculate the least common multiple of 1 and p(n).
11
Suppose 0 = -22*n - 328 + 86. What is the common denominator of -101/42 and n?
42
What is the common denominator of -137/294 and (-1274)/(-936) + (-8)/6?
1764
Let z be -34 + 3 - 32/(-8). Find the common denominator of (-498)/z*10/(-40) and -99/94.
846
Let c = -278 + 320. Calculate the least common multiple of 18 and c.
126
Let q = -772 - -1441. What is the least common multiple of q and 15?
3345
What is the least common multiple of -72*(40/32 - 2) and 117?
702
Suppose -i = -0*i + 3. Calculate the common denominator of -77/6 and i/4*(-1 - -12).
12
Suppose b - 96 = -4*u, 70 = -5*b + 2*u + 462. What is 