8
Suppose h + 2*h + 52 = -5*l, 5*l + 57 = 2*h. Calculate the smallest common multiple of (-2 - (0 + -1))/(-1) and -6 - (-5)/1 - l.
10
Let f(m) = m**3 - 4*m**2 - 5*m + 4. Let p be f(5). Calculate the common denominator of (-10340)/1800 + (-12)/10 and (-1)/p*(-822)/27.
18
Let u(x) = x**2 - 2*x - 20. Suppose 0 = -5*t + k + 52, 62 = 4*t + 4*k + 6. What is the smallest common multiple of u(8) and t?
308
Let c(d) = 10*d + 22. What is the smallest common multiple of 12 and c(-2)?
12
Let w = 226 + -217. Suppose w*j - 13*j = -56. Calculate the least common multiple of 49 and j.
98
Let n = 380179/4104 - 4759/54. Let q = n + -31/19. Let z = 2555/78 - 480/13. What is the common denominator of q and z?
24
Suppose 7*f + 707 = 2009. Let u = 132 - f. Let p = u + 72. What is the lowest common multiple of 12 and p?
36
Let r be (-101 - (-11 - -3))/((-6)/4). What is the common denominator of 2/10 - (-246)/(-20) and ((-81)/5)/(r - 58)?
20
Let a = -4696367/35017587 - -2/134167. Calculate the common denominator of a and -62/1885.
16965
Let d = 19960 - 1197563/60. Calculate the common denominator of -97/1578 and d.
15780
Let w = -273 + 1269. Find the common denominator of 1 + 4 - w/480 and 50/3.
120
Let x(o) = -26*o + 122. Let j be x(-28). Suppose 19*y + j = 36*y. What is the smallest common multiple of 165 and y?
1650
Let i be (-2)/(3/(-7)*340876/(-3)). Let n = i + -54532187/194128882. Let z = n + -60/67. Find the common denominator of z and 43/6.
102
Suppose 7*u + 6*u = 1482. Let f = -106 + u. Calculate the lowest common multiple of 16 and f.
16
Let s be 770510/1235 + 2/19. Calculate the common denominator of -3 + (s/45)/(-8) and -48/11.
165
Let n(o) = o**3 + 11*o**2 - 7. Let k be n(-4). Let i = 111 - k. Calculate the smallest common multiple of 12 and i.
12
Let q = -3618385 - -1845375703/510. Let u = q - -47/60. Find the common denominator of 55/8 and u.
136
Let v(u) = -u**3 + 9*u**2 - 6*u + 6. Suppose 0 = -t + 4*c + 40, -179*c = -174*c + 20. Calculate the lowest common multiple of t and v(6).
312
Let w(h) = -h + 178. Let g be w(-26). Let a = -117 + g. Calculate the smallest common multiple of 6 and a.
174
Let y(d) = 214*d**3 + d**2 - d - 3. Let t be y(2). Let x = -20545/12 + t. Calculate the common denominator of -19/60 and x.
60
Let x be 4/(-6)*-6*9400/(-4960). Let m = x + 2/217. What is the common denominator of m and 11/28?
28
Let u = -38315/154 - -249. Find the common denominator of u and 2037/(-1320) + (-18)/(-30).
616
Let l(d) = 2*d**2 + d + 9. Let g(v) = 2*v**3 + 55*v**2 + 27*v + 5. Let c be g(-27). What is the least common multiple of l(c) and 32?
64
Let m be (-744)/(-18)*(8 + -5). What is the common denominator of 99/14 and -4 + (m - 0)/(2646/105)?
126
Let z(n) = 3*n - 64. Let f be z(21). Let j be -1675 - (-1 + 0)/(f - 0). Let u = 21816/13 + j. Find the common denominator of u and 119/10.
130
Find the common denominator of ((-4594)/510 + 9)*(10/(-32) - 2) and 149/2244.
22440
Let p = -5023/75 - 9/25. Let z = p - -224/3. Find the common denominator of z and (140/(-88) + 2)*-4.
33
Let g be ((-4)/(-5))/((-14)/(-35)). Suppose -36 = -3*r + 3*i, -r - 2*i = g*r - 41. Let k(z) = -2*z + 29. What is the smallest common multiple of 6 and k(r)?
6
Let d = 62 + 58. Suppose -d = -5*q - 5*q. What is the lowest common multiple of q and 10?
60
Suppose 10*s - 2*s + 3312 = 0. What is the common denominator of (-4)/(-18) - s/2754 and 91/18?
306
Calculate the common denominator of (((-8)/124)/(40/94))/((-168)/(-35)) and 27/40.
7440
Let t be (-2 + 692)*110/(-15). Let n = t + 222655/44. Find the common denominator of n and 137/24.
264
Let p = -510324 - -510356. Let w(v) = v**3 + 4*v**2 - v. Calculate the least common multiple of p and w(3).
480
Let h be (420/25)/4 + 1/(-5). Suppose 40 = -d + 4*t, -5*d + 2*t - 38 = -h*d. What is the common denominator of d and -52/3?
3
Let n = 169034 + -50710357/300. Find the common denominator of n and 97/60.
300
Let i = 1 - -1. Suppose -377*w = -348*w - 11194. Calculate the lowest common multiple of w and i.
386
Let k = 64523 - 364619472/5651. Let g be (-2)/8 - 825006/226040. Let c = k - g. What is the common denominator of c and -41/4?
20
Let h be (-4442)/(-5) + (-8)/20. Let t be (h/(-9))/(-4)*3. Let f = t + -59. Calculate the least common multiple of f and 30.
30
Let q = 13319 + -6281. Let c = -168851/24 + q. Let n = -203/3 + 291/4. Calculate the common denominator of c and n.
24
Let y = -1607 + 4032. Suppose -22*z - 313 = -y. Calculate the smallest common multiple of 8 and z.
96
Let x = -1491/4 - -7369/20. Calculate the common denominator of (-3)/(-60) - 43888/(-37440) and x.
90
Let u be (54/5)/3 + (-3)/5. Let h(p) = 5*p**2 - p + 12. Calculate the lowest common multiple of 27 and h(u).
54
Let g = 45565 + -4374173/96. What is the common denominator of g and -76/3093?
98976
Calculate the common denominator of (-192)/480 + (-1)/(360/(-1419)) and -109/12.
24
Let f = -122 - -178. Let z = -23 - -47. What is the smallest common multiple of (-2)/8 - (-54)/z and f?
56
Let f = -164 + -10. Let t = f - -258. Calculate the least common multiple of t and 9.
252
Let s = -145156/45 - -3226. What is the common denominator of s and 149/90?
90
Find the common denominator of (567/168)/(3/((-24)/(-10))) and -89/13702.
68510
Let x = -70706/21 - -3369. Calculate the common denominator of x and 96/336 - (-22)/(-21).
21
Let n be -3 - (-2 + 9/(-3)). Suppose 0 = -n*a - 2*a + 88. Suppose 30*t = 1139 - 899. What is the lowest common multiple of t and a?
88
Let j(m) = 10*m + 2 - 2 - 2*m + 15 + m**2. Calculate the least common multiple of ((-4)/(-3))/(10/105) and j(-9).
168
What is the common denominator of ((-447678)/(-3348))/(-19) + 7 and 49/744?
744
Suppose -1642*h = -1680*h + 456. Calculate the least common multiple of h and 2356.
7068
Suppose 434*q + 8385 = 429*q. Let k = q + 73851/44. Find the common denominator of k and -21/76.
836
Let t = 39/35 + 457/70. Let q = -15367049/1620 - -37943/4. What is the common denominator of t and q?
5670
Let r = 8094 + -145745/18. Let x = -18451 - -26457. Let b = x - 80123/10. Calculate the common denominator of r and b.
90
Let y(q) = -q**3 + q**2 - 10*q + 162. What is the least common multiple of 1080 and y(0)?
3240
Let p = 1079580904637/5380 + -200665591. Let s = -2/269 + p. Find the common denominator of ((-7)/35)/(9/(-555)) and s.
60
Let q = -45148 + 3521467/78. What is the common denominator of q and -31/21?
546
Suppose -5*p - 2*w + 289 = -4*p, 0 = 5*p + w - 1400. Suppose -p = -27*i + 24*i. Calculate the least common multiple of 6 and i.
186
Let a = 114215 - 428420452/3751. Find the common denominator of 47/1705 and a.
18755
Let l(z) = -57*z - 52*z + 15 + 2 + 110*z. Let k = 116 + -66. Calculate the least common multiple of k and l(-7).
50
Suppose -1402 = -5*s - 2*k, 572 = 2*s - 4*k + 2*k. What is the common denominator of (4/(120/s))/(12/15) and 37/16?
16
Let l = 233478883/665 + -351096. Calculate the common denominator of -17/665 and l.
665
Let m = -20/929 + -33413/44592. Calculate the common denominator of m and (-1 + 119/112)/(480/13184).
240
Let m = 15 + 6. Suppose 0 = 5*x + 5*i - 95, 2*x + 0*i - 4*i = 62. Suppose 0 = -5*o - 2 - x, 0 = 3*k + 5*o - 5. What is the least common multiple of m and k?
210
Suppose s + 4*p = 32, -97*p + 93*p - 16 = -3*s. What is the smallest common multiple of s and (-1)/2*-6*11?
132
Let j(q) = -342*q - 1603. Calculate the lowest common multiple of 428 and j(-5).
428
Let v(u) = 7*u**2 - 2*u + 1. What is the smallest common multiple of (-4)/(-1) - (64 - (-30 + 96))/(2/3) and v(-3)?
70
Let d = -4 - -7. Suppose -d*g + 7 = -38. Suppose o + 3274*c = 3277*c + 9, -5*o - 5*c + 105 = 0. Calculate the lowest common multiple of o and g.
90
Let r = 1097 + -1040. Calculate the smallest common multiple of r and 6.
114
Let h be ((-1)/(-4))/((-9344)/3112 + 3). Let q = h + 2623/28. What is the common denominator of -73/35 and q?
35
Suppose u + 15*u = 288. Calculate the lowest common multiple of 414 and u.
414
Let n be 7/14 - (-53)/44. Let f = 1987/396 + n. Calculate the common denominator of f and -7/27.
54
Let q(b) = 2*b**2 - 30*b + 4. Let d be q(6). Let u = 114 + d. Let c = -20 - -24. What is the smallest common multiple of c and u?
20
Suppose -3*f + 7*f + 596 = 2*i, -f - 131 = -5*i. Let j = f + 164. Calcula