the common denominator of (20/48)/((-3)/28) and -46 + 36 + 262/33.
99
Let w(o) = o**3 - o**2 - o + 10. Let f be w(3). Suppose f*g = 14*g + 88. Calculate the lowest common multiple of g and 16.
16
Let t = 8173 - 8018. Calculate the smallest common multiple of t and 1085.
1085
Let f(d) = 7*d**2 + 434*d + 148. Calculate the least common multiple of 222 and f(-62).
444
Let c = 8157 - 7815. Calculate the least common multiple of c and 380.
3420
Let q(v) = 2*v**2 + 23*v + 41. What is the smallest common multiple of q(-21) and 92?
10120
Let d = 35584130/1957 - 18183. Find the common denominator of 31/4 and d.
7828
Suppose 3*f - 3*y + 6 = 0, -4*f + 3*f - 10 = -3*y. Suppose 9 = -3*w - 6, -4*q - 5*w = -211. Let i = q + -57. What is the least common multiple of f and i?
2
Suppose -15*d - 788 + 19853 = 0. What is the least common multiple of 5 and d?
6355
Let k(p) = 2*p**3 + 11*p**2 - 10*p - 20. Let h be k(-6). Suppose 153 = h*x - 23. What is the least common multiple of x and 20?
220
Let o = 129 - 135. Let m(i) = -i**3 - 6*i**2 - 8*i. Let r be m(o). Let n = r + -38. What is the lowest common multiple of n and 4?
20
Suppose -10*o = -4*n + 1434, -5*n = -0*n - 3*o - 1707. Calculate the least common multiple of 432 and n.
3024
Let o be -35*(-3)/(-1 + 4). Let a = 2 - o. Let q = 55 + a. Calculate the least common multiple of q and 22.
22
What is the common denominator of -121/6 and (5/(-8610))/(4/208)?
1722
Let h = 40315375/134 - 300861. What is the common denominator of (-108)/(-10) - (3 + -1) and h?
670
Suppose 17*r - 14 = 71. Suppose 0 = 3*m + 2*h - 127, -4*m + r*m - 2*h = 29. Calculate the smallest common multiple of 27 and m.
351
Let y(x) = 610610*x + 4. Let q be y(1). Let r = -20146946/33 + q. Let g = 1362/11 - r. Calculate the common denominator of 34/15 and g.
15
Let l(p) = -p + 1. Let s = 98 + -95. Let m be l(s). Find the common denominator of (-58)/6*(m + 2/(-4)) and 103/20.
60
Let t = -4952/7 + 119597/168. Find the common denominator of 1/(-4) + 24/(-160) and t.
120
What is the least common multiple of (1 - -2)*21/9 - 2 and (4 - 6)/(2/(-27))?
135
What is the smallest common multiple of 36 and (40/2)/(-5) - (-1215 + 41)?
2340
Let o = 1185091/11406980 + -2/43873. Find the common denominator of o and 37/100.
1300
Suppose 0 = 3*q + 280 + 62. Let t = 955 - 823. Let p = t + q. Calculate the smallest common multiple of 33 and p.
198
Let g(q) = -q**3 - q**2 + 4*q + 3. Let d be (-2)/7 - 19/7. Let w(u) = -30*u**3 - u**2 - 6*u - 5. Calculate the lowest common multiple of w(-1) and g(d).
90
Let w be ((-46)/(-20))/((-12)/10). Let z be (61 - 182/13)/(-1 - -49). Let b = w + z. Calculate the common denominator of 101/220 and b.
880
Let a be (((-10)/(-1939731))/5)/((-1)/3). Let z = a - 83012081279/6465770. Let w = -12850 - z. Calculate the common denominator of w and 62/21.
210
Let x be 4 + -3 + 18/2. Find the common denominator of -29/4 and (-2476)/(-594) - 5/(x/8).
1188
Let t(p) = -p**3 - 10*p**2 - 15*p - 21. Let x be t(-9). Suppose 65*y = 68*y + x. Find the common denominator of y and -31.
1
Let r(q) = 3*q**3 - 134*q**2 - 36*q - 123. Let p = 13 + -9. What is the least common multiple of p and r(45)?
564
Suppose -6*s + 81 = 21. Suppose -2*o + s = 6. What is the lowest common multiple of (o/((-8)/6))/(3/(-66)) and 27?
297
Let k = -405169/546 + 10387/14. What is the common denominator of k and -16/7?
273
Let b = -3173/58 - -88947/580. Let q = b + -372/5. Calculate the common denominator of q and -125/576.
576
Let b be 1025/(-35) + (-2)/(-7). Let g(i) = i**3 + 29*i**2 - i - 19. What is the smallest common multiple of 6 and g(b)?
30
Suppose 2774 = -62*n + 24*n. What is the common denominator of n/365 - ((-57)/(-440))/1 and -121/20?
440
Let u = -41829 + 5563211/133. Calculate the common denominator of 73/266 and u.
266
Let w(m) = m**3 + m**2 - 5*m - 4. Let o be w(3). Suppose 3*a + t - o = -0*a, 0 = 2*a + 4*t - 18. Calculate the lowest common multiple of 18 and a/(20/84) - 1.
180
Let t(l) = 21*l**2 + 71*l - 20. Calculate the smallest common multiple of t(-10) and 548.
2740
Let n = -52634 - -6947839/132. What is the common denominator of n and (((-125)/66)/5)/(-2)?
132
Let r be ((-910)/(-78))/(5/6). Calculate the common denominator of (9 - r) + 159/(-18) and 666/304 + -1 - 1.
456
Calculate the common denominator of (37/(-111) - 16/(-60)*1) + 1634/210 and (-429)/(-70)*(-3)/(-9).
70
Let g(x) = 10*x + 127. Let z be g(-13). Let m(h) = h - 3 + 2*h + 5*h**2 - 2*h. Calculate the least common multiple of m(z) and 11.
429
Calculate the common denominator of (-410*(-18)/90)/(-36) and -45/76.
684
Suppose 133*x - 57*x - 5852 = 0. What is the smallest common multiple of 1085 and x?
11935
Let z = -11 - -15. Let j be 2722/152*((-7)/z)/7. Let p = -3/76 - j. What is the common denominator of -25/32 and p?
32
Suppose -4*c + 160 + 16 = 0. Suppose -4321*u + 4309*u + 72 = 0. Calculate the least common multiple of c and u.
132
Suppose 21*n - 22*n - 92 + 101 = 0. What is the least common multiple of 2919 and n?
8757
What is the smallest common multiple of 1460 and (54/36)/((-2)/(-6))*(3 + -1)?
13140
Let x = -10396/2563 - -119/233. What is the common denominator of -38/2663 and x?
29293
Let t = 2332443/758440 + -6/18961. What is the common denominator of 248/(-580)*-8 + -3 + 0 and t?
1160
Let a(y) = -3*y + 20*y - 21*y**3 + 3*y**2 - 7*y + 4*y - 8*y + 6. What is the smallest common multiple of 5 and a(-2)?
870
Calculate the least common multiple of 6/17*5/(-15) - 20674/(-17) and 608.
1216
Let q = -26141 + 26150. Calculate the lowest common multiple of 282 and q.
846
Suppose 0 = -d + 115 + 54. Suppose -c = d - 608. Let s = 3481/8 - c. What is the common denominator of s and -81/4?
8
Calculate the smallest common multiple of 3000 and (-4)/(-114) + (-507)/(-171).
3000
Suppose -4*g - 28 = 0, 4*i + 5*g - 153084 = 9*g. What is the least common multiple of 20 and i?
191320
Let z = -76297/20 - -3815. Find the common denominator of z and -23/792.
3960
Suppose -14*a + 10*a = -76668. Let z = -3009200/157 + a. Calculate the common denominator of z and 27/10.
1570
What is the common denominator of 10/8 - (196/260)/((-84)/(-35)) and 4/(24/(-19)) - 0?
78
Suppose 4*g + 5*x = 11, 2*g + 0*x - 3*x - 11 = 0. Suppose g*p - 5*p = -9. What is the smallest common multiple of p and 151?
1359
Let o = 27461/7310 + -137/43. Find the common denominator of 61/918 and o.
4590
Calculate the common denominator of (-196)/20346*54/1152*16 and 57/10.
33910
Let y = -963865/19788 + 2488/51. Find the common denominator of y and -55/28.
2716
Suppose -1484 = -5*b - 3*l, b + 4*l = -0*b + 307. Let u = 2202 + -66053/30. Find the common denominator of u and 0 + b/(-30) + 4.
30
Suppose 2*c + 0*c = 160. Suppose -3*j + 108 = 6*a - 3*a, 0 = -2*a - 4*j + 84. Calculate the least common multiple of a and c.
240
Let k(h) = -h**3 - 21*h**2 + 20*h - 25. Let y be -19 + 12/(-4) + -1 + 1. What is the least common multiple of 9 and k(y)?
171
Suppose -26 - 18 = 4*z. Let p = z - -20. What is the least common multiple of 8/16*52 + 66*(-1)/6 and p?
45
Let w(u) = 16*u**3 + 6*u**2 - 1. Let x be w(6). Let t = -77020/21 + x. What is the common denominator of (-119*(-29)/(-696))/(4/16) and t?
42
Let i(d) = 5*d + 1. Let g(b) = b**3 + 3*b**2 - 3*b + 1. Let q be g(-3). Let n = q - 4. Calculate the smallest common multiple of n and i(2).
66
Suppose 21*r - 20*r = 42. Calculate the smallest common multiple of (16 + -5 + -31)*(-2)/6*21 and r.
420
Let f be 12/(-28) + 369820/595. Let q = f - 620. Find the common denominator of -101/4 and q.
68
Suppose -157*z = -65014 - 41364 - 43400. Calculate the least common multiple of z and 24.
3816
Find the common denominator of ((-35)/(-5))/(-49) - 271/4032 and 91/72.
576
Let s be ((4 - -1) + -6)/((-10)/(-642)). Let m = -3767/60 - s. Calculate the common denominator of -79/18 and m.
36
Let g = 211 - 127. Let f(v) = 30*v**2 + 759*v + 267. Calculate the least common multiple of g and f(-25).
84
Suppose 21 = -2*s - 95. Let z = s + 68. Suppose 10*x = 5*x + 20. Calculate the lowest common multiple of z and x.
20
Let z = 4278 + -17207/4. What is the common denominator of 38/264 - (-2)/(-12) and z?
44
Suppose -g = 2*d - 0*g - 14, -3*d + 66 = -6*g. Let q(m) = -3*m**2 + 0*m**2 + 4*m**2 + 6. Calculate the smallest common multiple of q(0)