
12540
Suppose -90 = q - 392. Let x = q - 87. Suppose 3*s = 5*m + 2*s - x, -s = 4*m - 181. What is the lowest common multiple of 12 and m?
132
Let u be 92/(-3) - (-42)/63. Calculate the lowest common multiple of 6 and (u - (1 - 0))*(-8 + 6).
186
Let j = -256 - -206. Let v = 485 - 3344/7. What is the common denominator of v and (259/(-14))/((j/(-4))/(-5))?
35
Find the common denominator of 0 - 562/(-120) - 2 and 283/(-60) + 56 + -16 + -35.
60
Let y = 12225 + -11256. Calculate the lowest common multiple of 4 and y.
3876
Let m = -6207 + 6375. What is the lowest common multiple of 1512 and m?
1512
Suppose -2*m - 8205 = 5*q - 8*q, 10 = -2*q. Let s be (-39)/(-16)*m/(-9). Let u = s + -1117. Find the common denominator of -57/40 and u.
40
Let w(j) = 5*j + 110. Let x = 769 - 783. What is the lowest common multiple of 55 and w(x)?
440
Let r(u) = u**3 - u**2 - 4*u + 6. Suppose -5*q + 101 = 2*g, -3*g - 2*g + 305 = 2*q. Suppose 0 = -w + 68 - g. Calculate the lowest common multiple of 2 and r(w).
86
Calculate the least common multiple of (63/196*7)/(3/80) and 2334.
23340
Let f = -2 - -20. Suppose -436 = -g + 5*g. What is the common denominator of -3/16 and g/f - (-12)/3?
144
Suppose 0 = -3*b - 4*h + 41, h - 20 = -3*b + 24. Let x = 19 - b. Calculate the smallest common multiple of x and 44/(-66) - 52/(-6).
8
Let l = 183 - 413. Let m = l - -4247/18. Calculate the common denominator of m and (-2)/3*111/(-40).
180
Let k(t) = -t**2 + 11*t - 16. Let q be k(8). Suppose q*h + 1169 = 15*h. What is the smallest common multiple of 5 and h?
835
Let y = -3408165/112 - -30429. What is the common denominator of 7 + 1 + (-531)/80 and y?
560
Let v = 4524/55 - 126089/1540. What is the common denominator of v and -43/80?
560
Let u = 25/2777 - 80104/569285. Let r = -9802/1845 + u. Calculate the common denominator of r and ((-2)/(-50))/((-2)/(-465)).
90
Let m = 829 - 610. What is the smallest common multiple of 9 and m?
657
Suppose -4*h = x - 1097, -838 = -3*h - 2*x - 14. Let j = 6029/22 - h. Find the common denominator of -83/10 and j.
110
What is the common denominator of ((-248)/18)/(56/12) and (54/144)/((-792)/(-4448))?
462
Suppose 8*r = 3*r + 120. Suppose 13*g - 12*g = 3. Suppose 105 = 4*l + g*j, -4*j = 2*l - 3*j - 51. What is the least common multiple of r and l?
24
Let o be (1 - 29/2)/((-34)/408). Let h be (1/2 - 0)*24/o. Let s = h - 986/189. Calculate the common denominator of s and 28/43.
301
Suppose 2*t + 10*f + 13 = 13*f, -3*f = -4*t - 11. What is the lowest common multiple of t and 436?
436
Suppose 81*v - 2848 = -110*v - 165*v. What is the least common multiple of v and 28?
56
Let f be (0 - -2)*(-8 - -7) - 43. Calculate the common denominator of -115/102 and (f/48)/((-9)/(-66)).
408
Calculate the common denominator of 21/376 and (-12093)/3058 - (-2)/(-11).
4136
Let d = -100421114960621/1997 - -50285983265. Let f = d - -3195. Let z = -97844/17973 + f. Calculate the common denominator of -62/3 and z.
9
Find the common denominator of ((-7)/(21/18))/1 - (-8694)/1080 and -59/536.
2680
Suppose 2*k + g = -3465, -g - g - 1731 = k. Let i = -5138/3 - k. Let a = -36325/8327 + -1/757. Calculate the common denominator of i and a.
33
Let y be (-57)/21 + 3 - (-51)/(-7). What is the common denominator of -9/8 and (270/64)/(y/(-4) + -1)?
8
Let g = 26 + -23. Suppose g*u - 8 = 4*w, 2*u - 4*u + 10 = 2*w. Let n(h) = h**3 + 3*h**2 - 20*h - 2. What is the lowest common multiple of w and n(-6)?
10
Suppose 7*t = 25*t + 1980. Find the common denominator of 4 + t/25 - (-34)/4 and -9/8.
40
Suppose -2*z + 422666 = 29*v - 25*v, v + 633992 = 3*z. Let h = z - 35503499/168. What is the common denominator of -83/30 and h?
840
Let f = 571 + -834. Let s = 4711/18 + f. What is the common denominator of s and 1/(-25)*1309/(-66)*(2 - 17)?
90
Suppose -5*c - 698*m + 358 = -694*m, 3*m - 213 = -3*c. What is the smallest common multiple of 2 and c?
74
Let r = 68 - 32. Let h be (7/(-2))/(3 - 102/r). What is the smallest common multiple of (22/(-7))/(3/h) and 80?
880
Suppose 3 = -4*h - 3*c, 5*c = 16*h - 14*h - 31. What is the least common multiple of 1092 and h?
1092
Find the common denominator of (71/4)/((-55)/22) and 61/1020.
1020
Suppose 3*a - p = 4*a + 261, 5 = -5*p. Let c = a + 268. What is the least common multiple of c and 70?
280
Suppose -2*w - 29 = -5*h, -h = 3 - 4. Let t(j) = -j**3 + 9*j**2 - 11*j - 15. What is the smallest common multiple of (-16)/w*18/4 and t(6)?
54
Let g(o) = -34*o - 27. Let q be g(-3). Let f = -55 + q. What is the smallest common multiple of 4 and f?
20
Let k = -218 - -230. What is the smallest common multiple of 11 and (6/k)/((-2)/(-16)) - 1?
33
Suppose -11*w + 15624 = 43*w + 9*w. Calculate the lowest common multiple of w and 8.
248
Let s(f) = -f + 13. Let n = -24 - -39. Suppose 5*u - n = 2*x - 4*x, 1 = u. Calculate the lowest common multiple of 10 and s(x).
40
Let a(y) = 405131*y**3 - 5*y**2 + 3*y - 2. Let s be a(3). Let j = s - 1225136041/112. Let m = -1503/7 - j. What is the common denominator of -31/22 and m?
176
Let q = 81 - 82. Let w be -6 + 9 - 1/(q - -2). Suppose 5*y = -2*v + 108, 0*y - v = -w*y + 45. What is the lowest common multiple of 20 and y?
220
Let i = 18729 - 374643/20. Let g = 321011/50 - 6419. Calculate the common denominator of i and g.
100
Find the common denominator of ((-25)/(-40))/(4656/480) and -61/2.
388
Let q = 6310223/29160 - -1/29160. Let k = q - 6337/30. Calculate the common denominator of 1 + (-115)/95 - -1 and k.
114
Suppose -2*o - 10 = 3*o, m + 5*o + 6 = 0. Suppose -n + 3*k - 11 = -m, -13 = n - 5*k. Let t = -49 - -62. Calculate the lowest common multiple of n and t.
26
Suppose 6048 = -402*q + 405*q. Calculate the lowest common multiple of 8 and q.
2016
Let l = 2478 + -2458. What is the smallest common multiple of 70 and l?
140
Let d be (-1)/2 - (-1615)/(-38). Let w = -85 - d. Find the common denominator of -3/8 and (270/(-770))/(4/w).
88
Let q = 481/5 - 10487/110. Let u(s) = 989*s - 2. Let g be u(-2). Let t = -31613/16 - g. What is the common denominator of q and t?
176
Let k = -81 - -82. Suppose -1 - k = 4*s + 2*o, 5*s - 2*o - 20 = 0. What is the lowest common multiple of 16 and s?
16
Suppose 2*j - 40 = -n, j - 2*n - 7 - 3 = 0. Let z(a) = 27240*a - 81630. What is the lowest common multiple of j and z(3)?
90
Let j = -300034/631737 - 90/4129. Calculate the common denominator of j and 161/360.
6120
Let h = 20092 + -803767/40. What is the common denominator of h and (-282)/(-80) + (-2)/(((-54)/(-6))/18)?
40
Let l = -5902 + 6574. Calculate the least common multiple of l and 560.
3360
Let r = -750 + 342. Calculate the smallest common multiple of ((r/36)/17)/(4/(-210)) and 21.
105
Find the common denominator of 223/72*-2 + 2 and ((-134)/27)/(((-2862)/(-81))/(-53)).
36
Let l be 1 + (-15)/10 + 45/2. Let c = -18 + l. Suppose -5*p + 132 = -c*i, 3*p - 90 = -0*p - 3*i. What is the smallest common multiple of p and 12?
84
Suppose 9*f - 142 = 200. Suppose 5*t + f = 3. Calculate the least common multiple of (-2)/t + 4192/28 and 18.
450
Let g = -1838/9 - -36967/180. Calculate the common denominator of -125/18 and g.
180
Let l be (2 - (-5 - -1))/((-8)/28). Let g = l + 23. Suppose 0 = g*m + 5*f - 49, -4*f = -5*m - 0*f + 40. Calculate the smallest common multiple of m and 16.
48
Calculate the least common multiple of 3272 and -3*(3/(-18))/((-9)/(-288)).
6544
Let t be (2767 + -5 + 0)/2. Let v = -13759/10 + t. Calculate the common denominator of v and (3 - 1)/1 - (-1692)/(-240).
20
Find the common denominator of (-924)/1080*(-1574)/168 - 8 and 26/21.
7560
Suppose -b = -4*g + 1774, 2*g - 1319 = -g - 5*b. Let a = g + -6205/14. Calculate the common denominator of 48/23 and a.
322
Suppose 4*q - 23 = t, 4*t + 35 = -t + 4*q. Let g(x) = -x**3 - 4*x**2 - 4*x + 1. Calculate the smallest common multiple of 3002/76 - (-2)/4 and g(t).
40
Let x = 576 - 388. Let h = -164 + x. Calculate the smallest common multiple of h and 24.
24
Let h(m) be the third derivative of -m**5/20 + 2*m**3/3 - 29*m**2. Let d be h(-2). Calculate the common denominator of (4 + d)/(-2) - 195/(-66) and 33/2.
22
Let g(k) = -k**2 - 36*k + 121. Let m be g(-30). Suppose 11*s - 227 = m. Calculate the lowest common multiple of s and 48.
48
Let c = -259 - -151. Find the common denominator of 7/12 and 45/c*2/(-4