of t and -11/12.
9732
Let t = 544/7 - 12218/161. Let q = -15228943/70 - -217560. Let y = -67/7 + q. What is the common denominator of y and t?
230
Find the common denominator of ((-222)/(-120))/(-38 + 25) and -49/650.
1300
Let o = 15 + -12. Suppose 4 = 4*r, 0 = -p + o*r - 1 - 1. Suppose -2*u - 3*z + p = -10, 5*u - 2*z - 18 = 0. Calculate the least common multiple of u and 16.
16
Let z = 14/1329 + 272/2215. What is the common denominator of z and (1*(-196)/68)/(-5)?
255
Suppose 5 = -i + 3*g, -2*i - 2*i + 4*g + 20 = 0. Let y = 3 - 1. Suppose 2*c + i = -5*z, y*c + 2*z - 6*z = 26. What is the smallest common multiple of 6 and c?
30
Suppose -2*g - 2*g = 252. Find the common denominator of g/(-30)*48/36 and -50/71.
355
What is the common denominator of 39/28 and 550/75845*(-70)/(-16)?
5516
Suppose k = 4*d + 33, -5*k + 0 + 5 = 0. Let f(c) = 2*c + 2. Let s be f(d). Calculate the smallest common multiple of 9 and 2/7 - ((-300)/s)/(-2).
99
Let b = 35687233666/963 - 37058400. Let q = b - -68/107. What is the common denominator of q and -29/5?
45
Suppose 76*z = 63*z - 3068. Find the common denominator of 31/27 and (2 + -1)/(-1 + (-776)/z).
135
Suppose -4*f = 515 - 871. Suppose -137 = -4*r - f. What is the smallest common multiple of r and 18?
36
Let u = 4199/2840 + -19/355. Find the common denominator of u and -79/104.
520
Find the common denominator of -73/3 and (-184)/6408*3*-1.
267
Let s(t) = -119*t. Let y be s(1). Find the common denominator of 8/(-84) + 2824/(-5040) and (-6)/2 + y/(-20).
180
Let d be (5/4)/((-3)/(-12)). Let y = -619 - -621. Suppose -y*j + d*x + 36 = 0, 3*j + 4*x = -0*j + 54. What is the lowest common multiple of 56 and j?
504
Let m = -347 + 306. Calculate the common denominator of 0/(-2) - 16/18 and m/(-5) + (2 + -2)/(-2).
45
What is the lowest common multiple of 130 and (-1*4/6 - 0)/((-506)/11385)?
390
Let g be (((-270)/24)/9)/((-1)/4). Suppose 5*p + 2*s - 34 = 0, g*p + 3*s = -2*s + 40. What is the smallest common multiple of p and 16?
48
Let h(k) = 8*k**2 - k - 1. Let i be h(-1). Suppose 0 = -4*q + i*q - 80. Calculate the least common multiple of (5 - 10)/((-15)/6) and q.
20
Suppose -4*g - 17 = 5*t, 6*g - g + 19 = -4*t. Let n = 3/17276 - 1019329/259140. Find the common denominator of n and 74/120 - t/(-5).
60
Let z = -3/1657 + -16489/44739. Let y = 217 + -4561/21. Find the common denominator of z and y.
189
Let w = 2540/21 + -14267/126. Calculate the common denominator of -67/1323 and w.
2646
Let x = 101639/2 - 96048929/1890. Find the common denominator of -31/6 and x.
1890
Let f = 10391 - 9617. Calculate the smallest common multiple of 903 and f.
5418
Let y = -5623 - -5696. What is the lowest common multiple of y and 1095?
1095
Let l = -314453/25 - -12577. Let w = 1227/11 - 6098/55. Find the common denominator of l and w.
275
Suppose 0 = 17*c + 12667 + 57951. Let h = c + 423701/102. Find the common denominator of h and 95/12.
204
Suppose -3*z + 74857 - 23485 = 0. Let r = z + -6404275/374. Calculate the common denominator of r and -91/4.
748
Suppose -v + 600 = -1577. Let r = v + -130513/60. Calculate the common denominator of -119/6 and r.
60
Let x be 18 + -22 - 270/(-68). Let r = x + 2111/102. What is the common denominator of 34/19 and r?
57
Suppose -5*o - 3*x = -95, 5*o + 0*o + 5*x - 105 = 0. Let u = -133978 + 133980. What is the least common multiple of o and u?
16
Let t(h) = -31*h - 1963. What is the lowest common multiple of t(-64) and 35?
105
Let a = 4 - 4. Let p be ((-6 - a) + 2)/(-1 - 1). Calculate the common denominator of -119/6 and (-1 - (-92)/78)/(p/21).
78
Suppose -3*g - 12 = -9*g. What is the common denominator of 47/4*(-4)/5 and (48/(-18) - -3)/(g/267)?
10
Suppose 0 = -4*j - w + 45, 4*j - 65*w = -62*w + 89. Let g be 4/(((-18)/39)/3). Let b = g - -46. What is the least common multiple of j and b?
140
Let c = 2/95309 - 1810893/1048399. Let r = 6355/5481 + 22/189. What is the common denominator of r and c?
319
What is the common denominator of -69/1826 and 167/(-16) + (-136 - -150)?
14608
Suppose -30*o + 240 = -15*o. Suppose o*w = 2*w + 210. Calculate the lowest common multiple of 6 and w.
30
Suppose -8*c + 14 = -1282. What is the lowest common multiple of 3564 and c?
3564
Let z = 184 + -111. Suppose 3*c = z - 7. Calculate the least common multiple of 176 and c.
176
Let v = -8 - 6. Let x = 9 + v. Calculate the common denominator of (x/21)/((-20)/208) and 19/5.
105
Let p = 58 + -60. Let o = -65287/48420 + -4/2421. Find the common denominator of (((-500)/32)/(-5))/(3/p) and o.
60
Suppose 6*c - 20 = c. Suppose 3*b = 4*f + 23 + 8, -c*b - 3 = f. Let d(q) = q**3 + 6*q**2 - 10*q - 1. Calculate the lowest common multiple of d(f) and 4.
20
What is the smallest common multiple of 275/3025 - (-922)/22 and 324?
2268
Let p = 5822/9 - 45721/72. Suppose -d = -3*d + 8. Find the common denominator of 24/150*270/d and p.
40
Let q = -7 + -6. Let o(b) = -b + 4. Let t be o(q). Suppose t = m + 1. Calculate the smallest common multiple of 3 and m.
48
Suppose 8*d + 15 = 3*d, -4*x = 4*d + 744. Let y = 14171/22 - 645. Find the common denominator of y and 4/2 - x/(-132)*2.
22
Let y(b) = b**3 - 3*b**2 + b + 2. Let q(c) = -74*c - 6357. Calculate the least common multiple of q(-86) and y(3).
35
What is the common denominator of -107/18 and ((-62)/279)/(7228/(-333))?
32526
Let b = 377 - 2299/6. Let r be ((-6)/(-7))/((-24)/168). What is the common denominator of b and 3 - (-49)/(-2)*(-2)/r?
6
Let q = -1979/4360 + -144/109. Let w be (162/4)/((-1)/2). What is the common denominator of q and w/(-22) + (-1 - 0)?
440
Find the common denominator of 4/(-14)*(10 - 2205/216) and (6/(-4))/(3/25).
84
Let u = -44669/4136330 + 61/6820. Let p = u + 32459/6065. What is the common denominator of -9/104 and p?
520
Let q(w) = 3*w - 22. Suppose 3*g = -2*y - 0*g + 21, 5*g = 3*y - 22. Suppose -6 + 8 = 2*t. Calculate the least common multiple of t and q(y).
5
What is the smallest common multiple of (-1815)/825*(0 - 25) and 2250?
24750
Let i = 2/38029 + 5742343/684522. Suppose 5*d + 4 + 15 = -t, 0 = 5*t - 2*d - 13. What is the common denominator of i and t + -1 + 117/14?
126
Suppose -67*m + 25623 = -29652. Calculate the lowest common multiple of m and 825.
825
Let y = 44864467/10 + -4477836. Let i = y + -8620. What is the common denominator of ((-80)/(-280) - (-51)/(-154))/((-2)/(-130)) and i?
110
Let i be (147/35 - 5)*5/(-2). Let c(w) = 3*w + 2. Calculate the smallest common multiple of (-1 + 6)*(-112)/(-35) and c(i).
16
Calculate the common denominator of -91/1425 and 637/28*(-9)/(-2394).
11400
Suppose -5*h = 19 + 31. Let m be 0 + 0 + h/(-5)*67. Find the common denominator of 49/29 and 1 - (0 + m/(-8)).
116
Calculate the common denominator of 405/3300 + (-72)/(-30) and -31/5700.
62700
Let p = 6217 - 6121. Calculate the lowest common multiple of p and 148.
3552
What is the common denominator of -155/228 and 10/(26600/(-2129)) + (-8)/(-14)?
1140
Suppose 0 = -3*y - 276 + 282. Let o be 3/(((-15)/4)/(-5)). Let a(r) = 3*r**2 - 2*r - 4. What is the lowest common multiple of y and a(o)?
36
Suppose 37*c + 41416 = -19*c + 236632. Calculate the least common multiple of 12 and c.
6972
What is the common denominator of 52/549 and (-4961)/(-792) + (-24)/(-216)?
4392
Let i = 12681 - 266330/21. Find the common denominator of 37/150 and i.
1050
Find the common denominator of (-1290)/(-28552)*(-100)/(-36) and -113/12.
996
Let y = 30 - 81. Let w = -143 + 1129/8. Calculate the common denominator of y/85 - (-258)/105 and w.
56
Let b = 12258 - 12158. Calculate the lowest common multiple of 240 and b.
1200
Calculate the lowest common multiple of 3625 and 37260/3564 - (1/2)/((-11)/12).
39875
Suppose 0 = k + 2*n - 12, 5*k - 4*n + 3*n - 27 = 0. Suppose -10*a + k*a + 20 = 0. What is the common denominator of (8 - a) + 103/(-14) and 39/14?
14
Let p be (-1*0/(-3))/2 + -13470. Let k = 32183 + p. Let i = 224429/12 - k. Calculate the common denominator of -1/34 and i.
204
Calculate the least common multiple of 16/(-56) + (-144)/(-14) and 84/(-24) - (-154)/4.
70
Let r be 870/(-27) + (-10)/(-45). Let u = r + 31. Find the common denominator of 73/33 and -5*u/(-9) + 2.
99
Suppose -5*t - 5*l = 130, 4*l - 107 = 5*t - 4. Let f(d) = 8*d + 9. Let j be f(-6). Let o = t - j. Calculate the smallest common mul