1638
Let m = -286/129 - -18256/8299. Let n = -2753/772 + m. Calculate the common denominator of 7/8 and n.
24
Let z = 3900 - 233933/60. Calculate the common denominator of 23/45 and z.
180
Let h = 10/811 - -18113/43794. Find the common denominator of h and -49/30.
270
Let r = -16957/510 - -1388/51. Find the common denominator of r and -8/105.
210
Let m = 248311/3450 + -1822/25. Find the common denominator of 65/14 and m.
966
Suppose -g + 8 = 3*g. Suppose 6 = 4*i + 2, 5*i = 3*z - 40. Suppose -7*c = -g*c - z. Calculate the least common multiple of 10 and c.
30
Let f(v) = v**2 + 12*v - 8. Let z be f(-13). Suppose -5*r + 18 = 2*b - 7*r, 5*b - 3*r - 35 = 0. What is the least common multiple of 8 - (b - (z + 1)) and 6?
30
Suppose -3*b = -2*n + 36, 0 = -5*n + 5*b - 4*b + 64. What is the lowest common multiple of n and 10?
60
Let a = -1360319351778/693670053817 - -479/53439394. Let k = 51/26 + a. Let u = -161765/15976 + k. What is the common denominator of u and -10/17?
136
Suppose 0 = b - 204 - 111. Suppose -b = -13*d - 2*d. Calculate the smallest common multiple of d and 27.
189
Let w(h) = 2*h + 40. Let f be w(13). Let n = f + -54. Calculate the smallest common multiple of n and 36.
36
Suppose 0 = 4*w + 4*n - 144, 0 = -15*w + 17*w - 4*n - 48. What is the least common multiple of 8 and w?
32
Let f = -111 + 108. Let k(n) = n**2 - n + 3. Calculate the lowest common multiple of 72 and k(f).
360
Suppose -14 = -6*s + 34. Let p(y) = y**2 + 5*y - 4. Let h be p(-5). What is the least common multiple of -24*(10/h - -2) and s?
24
Let p = -17 - -26. What is the smallest common multiple of p and 6 + (9 - (0 - -6))?
9
Calculate the common denominator of 2/(-4) + 9 + (-533)/117 and -155/78.
234
Let x = -133 - -371/3. Let t = 80/57 - -51/266. Calculate the common denominator of t and x.
42
Suppose -43*w = -38*w + 2080705. Let k = -5807763/14 - w. Let d = -1302 + k. Calculate the common denominator of d and 1/14.
14
Let z = -219 + 232. Let c = -10 - 8. Let h = c + 25. What is the lowest common multiple of z and h?
91
Suppose 0 = -0*z + z - 67. Suppose -z = -5*w + 248. What is the common denominator of 1 - 7/(w/(-4)) and 74/9?
9
Let z = 415 + -3737/9. Calculate the common denominator of z and 83/54.
54
Find the common denominator of ((-4)/150)/((8 + -4)/144) and 51/125.
125
Let y = 862 + -766. What is the smallest common multiple of y and 8?
96
Find the common denominator of 1 - ((-4)/8)/(66/(-16)) and (-1431)/(-162) + 5/1.
66
Let k = -1209 + 1211. Let y(q) = 10*q - 3. Let d(c) = -10*c + 4. Let t(o) = 4*d(o) + 5*y(o). Calculate the lowest common multiple of t(1) and k.
22
Let a = -187 - -82. Suppose -j + 4 + 14 = 0. Find the common denominator of a/j - 4/6 and -57/5.
10
Let r = 253 - 251. What is the lowest common multiple of 90 and r?
90
Find the common denominator of (545/(-120) - 2) + 1 and -11/160.
480
Let i = 359 - 317. Calculate the lowest common multiple of i and 168.
168
Let q(t) = t**2 - 3*t - 7. Let o be q(5). Suppose -4 = 2*y - o*m, -m + 6 = 2*y + 2. Let s = -179 + 190. Calculate the lowest common multiple of y and s.
11
Let n = -1228 - -1280. Calculate the lowest common multiple of n and 36.
468
Calculate the least common multiple of 15 and 38 - ((-22)/11)/((-4)/10).
165
Calculate the lowest common multiple of (65 + -61)/((-2)/(-21)) and 120.
840
Suppose 4*a = 2*a + 6. Suppose 5*b + 16 = a*b. What is the common denominator of 17/8 and ((-14)/(-11))/(b/(-10))?
88
Suppose 218881 = 3*y + 2*f, -f = -2*y + 5*y - 218882. Let p = 3064003/42 - y. Let x = p + 65/6. What is the common denominator of 57/7 and x?
7
Let x(u) = -2*u - 12. Let r(f) = -2*f - 11. Let w(n) = -5*r(n) + 4*x(n). Calculate the lowest common multiple of 33 and w(4).
165
Suppose -10*l + 7*l + 15 = 0. Suppose 28 = x + l. What is the smallest common multiple of x and 9?
207
Let s = 83 - 77. Calculate the smallest common multiple of s and 3.
6
Suppose 13 = l - 3*x, 0 = -8*x + 4*x + 12. What is the lowest common multiple of 162 and l?
1782
Let h = -481681/27 + 17838. Let w = 67808 + -2034053/30. Find the common denominator of h and w.
270
Find the common denominator of 59/5 and ((-13)/(-65))/((-42)/32).
105
Find the common denominator of -17/10 and 136/(-20)*(-10)/232.
290
Suppose 3*q - 3675 = -4*q. Suppose 18*m = 23*m - q. Suppose -5*a = 8*p - 3*p - 85, -m = -5*a - p. Calculate the lowest common multiple of a and 14.
154
Let f be (4/(-3))/(10/(-15)) - 9. Calculate the common denominator of 29/3 and (f - (-3 - -1))*18/(-8).
12
Let h(s) = 2*s**2 + 4*s - 1. What is the smallest common multiple of ((-8)/12)/((-14)/189) and h(-3)?
45
Let u be 10/6 - (-2)/(-3). Suppose x + 4*x = -c - 4, 4*c - 7 = 3*x. What is the smallest common multiple of 8 and (-2 - -8) + (u - x)?
8
Let p(v) = 17*v - 11*v + 5*v**2 - 16*v**2 - 19*v - 16 + v**3. Find the common denominator of 11*1/(1*-10) and p(12).
10
Suppose -5*k - 2*y = 2*y + 22686, 3*y + 13614 = -3*k. Let b = 1078/30925 - -561080333/123700. Let g = k + b. What is the common denominator of g and 49/20?
20
What is the common denominator of -32/87 and 189/60*(-3 + 2 + 5)?
435
Suppose 0 = -d - 5*v - 55, -10*v + 6*v = 5*d + 233. Let a be (-2)/(((-8)/46)/(-2)). Let g = a - d. Calculate the smallest common multiple of 48 and g.
528
Let k = -12804849/2 - -179342707/28. Let t = k + -2674. Let c = 1/1033 - 46507/22726. Find the common denominator of t and c.
308
Let j be -4*(-2)/16*0. Suppose -9*v - v + 40 = j. Calculate the least common multiple of 1 and v.
4
Suppose y + 1000 = 6*y. Suppose 5*a = -3*d + 422, -3*d + y + 186 = -4*a. Find the common denominator of 5/10 + d/12 and -17/7.
21
Let x = 10825/48 - 677/3. Find the common denominator of -73/160 and x.
480
Calculate the smallest common multiple of (68/(-102))/(2/(-114)) and 14.
266
Let b = -9 + 6. Let v = 9/2 + -135/26. What is the common denominator of v and (b - 0)*(-4)/(-18)?
39
Let w = -1716 + 1736. Calculate the smallest common multiple of 186 and w.
1860
Let a(h) = 8*h + 251. What is the lowest common multiple of a(-29) and 152?
152
Suppose -6*f = -0*f - 30. What is the common denominator of 67/(-16) - 4*f/40 and 13/22?
176
Suppose -4*y - 10 = -42. What is the common denominator of ((-121)/(-36))/(1 - y/6) and -11/14?
84
Let n = -106839/22 - -4858. What is the common denominator of 2/5 - 734/(-40) and n?
44
Let h = 256/29 + -7840/783. Find the common denominator of 17/2 and h.
54
Suppose -4*t = -i - 619, 51*t - 2*i + 166 = 52*t. Calculate the least common multiple of t and 36.
468
Let n = 596/5 + -95961/805. Calculate the common denominator of 28/253 and n.
1771
Let t = 21425 + -13775. Let o be 122449/(-16) + 2/(-4). Let s = t + o. Calculate the common denominator of -75/8 and s.
16
Suppose 6*b = 5*b + 54. What is the least common multiple of 186 and b?
1674
Let p = -23/1301 - 75428/222471. Calculate the common denominator of p and -3/7.
1197
Let h = -2653 - -15769/6. Let u = -71/2 - -86. Calculate the common denominator of h and u.
6
Let g be -1 - (-5 + 1 - -2). Let r(q) = q**2 - 8*q + 4. What is the smallest common multiple of 24*(g - 2/4) and r(8)?
12
Suppose -4*u + 330 = -b - 4*b, -b = -u + 83. Calculate the smallest common multiple of u and 40.
680
Let j = -97598/349005 + -1/4390. What is the common denominator of 85/424 and j?
1272
Let z = -6/329 - -26027/1974. Calculate the common denominator of -27/32 and z.
96
Let u = 49757/6 + -8311. Let r = 760 - 435. Find the common denominator of 3/7 - r/56 and u.
24
Let m = 282833427 + -115396099445/408. Let r = m - -2457/17. Find the common denominator of r and -61/24.
24
Suppose -8 = 2*n - 42. Let c = n - 15. Calculate the lowest common multiple of 22 and -4 - (-42)/(6/c).
110
Let x = -261173/20 - -13054. Let c = -418833/26 + 16107. What is the common denominator of x and c?
260
Suppose 0*w - 8 = -4*w. Find the common denominator of ((-118)/(-3))/(w + -4) and -107/18.
18
Let z = 375891/40 + -9396. What is the common denominator of 7/(448/10)*(-98)/10 and z?
160
Let u be 20/(-8)*(-8)/10 - 92. Find the common denominator of 29/10 and (0 - u/(-14))/(286/91).
110
Let r = -24 + 46. Let n be 93 - (15 + -10 - (2 + -2)). Suppose -4 = -n*x + 87*x. What is the least common multiple of x and r?
44
Let g = -10505543 + -11281545. Let h = g + 3355138091/154. Let x = h - -33