3 - -644488/261. Calculate the common denominator of a and -119/72.
2088
Suppose -2*q = -4*p + 608, -3*p - q + 5*q = -446. Suppose 0 = -4*s, 3*s - 7*s + 42 = 3*z. Calculate the smallest common multiple of z and p.
154
Let c(o) = o**3 - 15*o**2 - 40*o - 21. Let u be c(17). Let q = 138 + u. What is the least common multiple of 33 and q?
165
Let i be 131 + 7/((-14)/12). Suppose 39 = 2*y - i. What is the smallest common multiple of 14 and y?
574
Suppose 7*g - 872 - 186 = 202. Calculate the least common multiple of 860 and g.
7740
Find the common denominator of 149/984 and 13/54 + 55/(-110)*(-1)/1.
8856
Suppose 0 = z - 2*z - 5*j - 13, -2*z + 4*j = -16. Suppose 30 = z*m - 2*d, -2*m + 3*m + 3 = -5*d. What is the lowest common multiple of m and 6?
12
Suppose 0 = 3*d, -4*a = -8*a - d. Suppose -3*i - 3*k - 15 = -a*i, 3*i + k + 17 = 0. What is the common denominator of (i/4 - 8/(-28)) + -3 and 9/4?
28
Calculate the common denominator of (-16038)/4644 - (-5 + -2*4/(-8)) and -31/502.
21586
Suppose 5*m - 5*h + 806 = -784, -621 = 2*m + 3*h. Let w = m + 331. What is the smallest common multiple of w and 20?
80
Let k(q) = -2*q**3 + 56*q**2 - 8*q + 50. Let j be k(28). Let y = 289 + j. Calculate the least common multiple of 35 and y.
805
Suppose -26*s + 3*s + 897 = 0. Suppose -4*j - 3 = -s. Calculate the lowest common multiple of j and 93.
279
Suppose -4*c + 261 = 5*g, 0 = -g + 5*c - 12 + 41. What is the least common multiple of 1890 and g?
13230
Let r = 51761/24 - 2156. Let d be 9/(-4) - (-9)/(-12). What is the common denominator of r and 674/(-60) + (6/(-5))/d?
24
Suppose -t = 2*i - 4, -6*t + t - 4*i - 10 = 0. What is the common denominator of -101/2 and t?
2
Let j be ((-38)/(-95))/(14772/(-20)). Let f = -168635/22158 + j. What is the common denominator of 37/35 and f?
630
Let f(b) = b**3 + 22*b**2 - 80*b - 49. What is the lowest common multiple of 84 and f(-25)?
1596
Let u = -5086 - -101733/20. Calculate the common denominator of u and 107/4148.
20740
Let s be (-2 + 1)/(11 - 107730/9793). Let b = s - 8329/6. Find the common denominator of 17/24 and b.
24
Let t = 39263813/871 - 45079. What is the common denominator of t and -8/469?
6097
Let t(u) = 4*u**2 + 211*u - 1873. Calculate the smallest common multiple of 70 and t(-61).
140
Let z = -113 + 252. Let x = z + -9. Calculate the least common multiple of 16 and x.
1040
Let u(l) = l**3 + 8*l**2 + 7*l + 4. Let i = -61 - -74. Suppose 12*k - i*k = 7. Calculate the smallest common multiple of 14 and u(k).
28
Let w(a) = -36*a + 106. Let j be w(6). Let x = j + 132. What is the lowest common multiple of 3 and x?
66
Let f = -588 + -90. Let z = 3422/5 + f. What is the common denominator of z and 64/55?
55
Let j(x) be the third derivative of 1/12*x**5 + 1/4*x**4 + 0 + 0*x - 11*x**2 - 1/6*x**3. Calculate the smallest common multiple of j(-3) and 10.
130
Let z = -5367 + 5829. What is the smallest common multiple of z and 154?
462
Let q = -985/114608 + 2/377. Calculate the common denominator of 75/16 and q.
304
Let p = 226 - 228. Suppose 0 = 2*c + y - 4*y - 9, y - 30 = -3*c. Calculate the least common multiple of 2 and p*3/6 + c.
8
Suppose 3*f - 31 = 2*m + 277, 5*f - 484 = -4*m. Suppose 2*n = 4*n - f. Calculate the least common multiple of 5 and n.
50
Suppose 6 = 3*i - 0. Suppose 4*y - i*z + 116 = 2*y, -2*y - z = 104. Let m = -53 - y. Calculate the smallest common multiple of m and 6.
6
Let k = -4/1303 + 56061/10424. Let n be ((-2)/(-12) + (-8)/12)*3994. Let d = n + 4071/2. Find the common denominator of k and d.
8
Find the common denominator of 7/8482 and ((-38)/80)/(10/25).
67856
Let f = 1673 - 1667. Calculate the lowest common multiple of f and 289.
1734
Let p(u) = 36*u**3 + u - 1. Let a = -85 + 114. Let x = a + -17. What is the smallest common multiple of x and p(1)?
36
Suppose -j = -3*j - 8. Let z(l) = -23*l + 34. Let t be z(j). What is the common denominator of 105/(-18)*t/(-135) and 55/8?
72
Let p(q) = 7*q + 5. Let w be p(-1). Let m = 194 - w. What is the least common multiple of m and 2?
196
Find the common denominator of (-3061)/12980 + 8 + (-546)/70 and -34/1947.
7788
Suppose 3*i = i + 18. What is the smallest common multiple of (-16)/((-160)/90) + 1 and i + ((-36)/(-3))/(-4)?
30
Let y = -296 + 2357/8. Suppose -101 = -4*w + 67. Find the common denominator of y and 4/w*(-4844)/(-48) + -2.
72
Suppose 2*t = -2*p - 3*t + 9, 13 = 5*p + 3*t. Find the common denominator of -157/30 and p + -7 - (-5 - 114/120).
60
Let k be (1253/(-42))/((-1)/6). Let a = 230 - k. What is the least common multiple of 24 and a?
408
Let f = -469079 - -195468. Let d = -116558353/426 - f. What is the common denominator of 43/5 and d?
2130
Calculate the lowest common multiple of ((-3)/(-15)*-9)/((-3)/10) and 78.
78
Let t = -882 - -1050. What is the least common multiple of t and 48?
336
Suppose -4*i = 3*v + 1251, 0 = -3*v - 3*i - 559 - 689. Let n = 443 + v. Calculate the least common multiple of 85 and n.
510
Let x = 617/48 + -191/12. Let j = -189/10 - -1267/80. Calculate the common denominator of j and x.
16
Let z = 863/80 + 1/80. Calculate the common denominator of 45/(-6) - (-4)/16 and z.
20
Let w = -9052 + 9128. Calculate the lowest common multiple of w and 24.
456
Let g be (-66)/((4 + -2)/2). Calculate the common denominator of (25/g)/(26/(-104)) and (-2)/(-4)*6 - (-592)/(-240).
165
Let x be (9/3)/3*-1. Calculate the common denominator of (-126)/(-84)*(-339)/(-90) and (x - -2) + (-630)/160.
80
Let t = 2/7 - 27/70. What is the common denominator of t and (22289/(-372) - -54)/(((-28)/6)/1)?
280
Suppose -5*y - 3*y - 216 = 0. Calculate the smallest common multiple of y/(-36) - 87/(-12) and 49.
392
Suppose 0*j + 7 = 2*j - 3*i, 0 = 4*i - 12. Let q = 133 - 64. Suppose -5*f = -249 + q. What is the smallest common multiple of j and f?
72
Let k = -41 - -44. Suppose -3 = -i + k. Calculate the lowest common multiple of 8 and 8 + 1/(-2)*i*-1.
88
Let t(h) = -22*h - 128. Let y be t(-6). Suppose x + y*x + 36 = 2*u, -5*x - 90 = -5*u. Calculate the smallest common multiple of u and 147.
882
Suppose -48 = -367*b + 369*b. What is the lowest common multiple of (4/b)/1 - (-103)/6 and 2?
34
Let f(t) = 18 - 16 - 67*t + 34 - t**2 + 73*t. What is the lowest common multiple of f(8) and 4?
20
Let x = 5993 + -11964. Calculate the common denominator of (x/(-756) + -8)*-39 and 91/40.
360
Let r = -778 + 781. Suppose -2*q - 4390 = o - 4*o, 0 = -r*o - 4*q + 4396. Calculate the least common multiple of o and 18.
4392
Let q = 3/56 - -285/56. Calculate the common denominator of (1804/3198)/((-2)/(-4)) and q.
273
Let b = -189594 - -53086393/280. What is the common denominator of 101/112 and b?
560
Let r = -6752/3471 + -14/89. Let b = -3299/156 + r. Let j = 6573 - 32824/5. Calculate the common denominator of b and j.
20
Calculate the common denominator of 13515/13260 + 8/(-8) and 1 + -137*1/52.
52
Let w(i) = 2*i**3 - i**2 - 2*i. Let c be 6/14 - (25424/(-49))/(-2). Let j = c - -265. What is the lowest common multiple of j and w(2)?
24
Let b = 358117/120 + -5969/2. Calculate the common denominator of b and -43/56.
840
Suppose 515*x = -581*x + 19728. What is the smallest common multiple of (2 + 96)/(2/10) and x?
4410
Suppose -2*x - 18262 = 5*t - 57460, 15680 = 2*t + x. What is the smallest common multiple of 2 and t?
7838
Suppose -5*a = 5*v - 3160, -v = 5*a - 212 - 428. Calculate the smallest common multiple of 10 and v.
630
Let a = -200022041/542244 + 234060/619. Let u = 2131437/2117 + -29280/29. Let t = a - u. Calculate the common denominator of t and 41/28.
84
Let w = -12157 - -15886. What is the least common multiple of 678 and w?
7458
Suppose 3*f + 5 = 11. Suppose f*t - 7*t = -60. Let j = 66 + -54. What is the least common multiple of j and t?
12
Let s(x) = -x**2 + 6*x + 372. Let y = 115 - 75. Calculate the lowest common multiple of s(-10) and y.
2120
Let y = 643 + -533. Calculate the least common multiple of 112 and (-4)/5*y/(-44).
112
Suppose o + 104 = 4*q + 5*o, 0 = -5*q + o + 154. Let h = 500 + -487. Suppose 4*x - 5*w = 109, 5*w + 59 = x + h. What is the least common multiple of q and x?
210
Let h = 4 - -8. Suppose c = 45 + 2 + 41. What is the least common multiple of h and c?
264
Let f = 390931/70 + -5584. Find the common denominator of 505/70 - (0/(-2) - 1) and f.
70
