.
8
Suppose 3*a = -5*i + 44, -i + 3*a = 8*a. Let t(j) = j**3 - 11*j**2 - 15*j + 4. Let u be t(12). Let s = u + 54. What is the least common multiple of s and i?
110
Find the common denominator of (-30)/((-66)/154 + 1875/63) and -151/66.
132
Calculate the common denominator of (11/(-2))/(-1 - 14 - -7) and -83/2.
16
Let h = -39271/15 + 2621. Let u = -11/340 + -1261/3060. Calculate the common denominator of u and h.
45
Let b be (-146)/(-16) + 4/(-32). Suppose -b*u = 28 - 217. What is the smallest common multiple of u and 15?
105
Suppose 2794*l = 2795*l - 28. What is the smallest common multiple of l and 28?
28
Let h be 10/5*(-5)/1822. Let d = h - -15587/18220. Find the common denominator of -33/20 and d.
20
Find the common denominator of 63/8 and (58/(-5887))/(72/2373).
696
Let m = 16/97 + -7420/291. Calculate the common denominator of 21 + -24 + 0 + 322/12 and m.
6
Let d(o) = o**2 - 17*o + 81. What is the smallest common multiple of d(17) and 6?
162
Let g = 21983/60200 - -15/301. What is the common denominator of 53/160 and g?
800
Let s be 22/(-76252)*(5 - 2). Let w = s + 154303/76252. Calculate the common denominator of w and 53/20.
220
Let s = 6182 - 111311/18. Let l = 1223/144 - 59/9. Calculate the common denominator of l and s.
144
Let x(i) = -5*i - 118. What is the least common multiple of 40 and x(-25)?
280
Suppose -w + 3 = -3*q, -w - 18 = w + 2*q. Let j be w/15 + (-172)/20. Find the common denominator of (-83)/j - (-7 - -10) and -52/11.
99
Suppose 0 = 5*g - 141 - 19. Suppose 0 = -2*v + 16 + g. What is the common denominator of 4/(-8) - 81/v and -49/4?
8
Let v = -528647295071/7999569 - 133/3555364. Let m = v + 199378/3. Let b = 3460/9 - m. What is the common denominator of 91/18 and b?
36
Let f = 33/31 + -1/496. Calculate the common denominator of f and -43/8.
16
Let u(p) = -p**3 - 5*p**2 + 7*p + 11. Let y be u(-6). Suppose x = y*x + 312. Calculate the common denominator of -131/6 and 4/26 + (-1119)/x.
6
Let z = -84409/10 + 8433. What is the common denominator of -11/30 and z?
30
Suppose 14*h - 8*h = 84. What is the least common multiple of 40/14*((-441)/h)/(-9) and 2?
10
Calculate the common denominator of 29/60 and 1*-2 - (-20)/750*205.
60
What is the least common multiple of (6/45*3)/(4/1200) and 228?
2280
Calculate the common denominator of 11/3 and -2*18/(-28) - (-2 + 1).
21
Let o = -449/14 - -515/7. Find the common denominator of o and 47/(-9) + 4*3/108.
18
Let y = 88 + -132. Calculate the least common multiple of 12 and (-444)/y - 3/33.
60
Let z = -65710/5639 - -1531575311071/131434381539. Let c = -4180331222465/326313414 - z. Let v = -12816 - c. What is the common denominator of v and -25/18?
126
Let q = -544 - -550. Calculate the least common multiple of 29 and q.
174
Let q = -2/70685 - 791642/1060275. Calculate the common denominator of q and -31/75.
75
Suppose -2*h - 6*v = -v - 175, 3*v - 169 = -2*h. What is the least common multiple of h and 12?
240
Let m = -630 + 646. What is the least common multiple of m and 12?
48
Calculate the lowest common multiple of (-1 - 9/(-5))*(-15)/(-6) and 156.
156
Let t = -3590 + 28773/8. Find the common denominator of t and (-31)/(-162) - 4/6.
648
Calculate the smallest common multiple of 75 and 15 - (-1*1 + (-44)/22).
450
Let r be 3 - (1 + 0 - -2). Suppose r = 5*u - 5, 5*b + u - 23 = 3*u. What is the least common multiple of b and 7?
35
Let q = -5728607/888 - -51611/8. What is the common denominator of -29/12 and q?
444
What is the common denominator of (-10)/(-2) - (-243)/(-32) and -55/216?
864
Find the common denominator of (-2)/(-8) - 23/44 and 16/48 + (-471)/36.
44
Let h be (6/(-9))/((-328)/12). Let s = 707/410 - h. Calculate the common denominator of s and 0 + -1 + 73/12.
60
Suppose 25 + 7 = 4*y. Suppose 0 = -17*q + 14*q + 42. What is the least common multiple of ((-231)/q)/(-3 + 0)*4 and y?
88
Let u = -50 - -85. Calculate the smallest common multiple of u and 1.
35
Let o be -1*(-4 - (-4)/2). Let c(v) = 10*v**2 + 0*v**3 + v**3 + 1 - 2*v - 9*v**o + 1. Calculate the smallest common multiple of 8 and c(2).
40
Let v = 53512594/275 + -194591. Find the common denominator of v and -8/7.
1925
Suppose -3*d + 3 = 21. Let m(b) = -b**3 - 6*b**2 - b + 9. Calculate the least common multiple of 6 and m(d).
30
Suppose 5 = h - 0*g + 2*g, 3*h - 4*g + 15 = 0. Let j be (-1 - 2) + h + -26. What is the smallest common multiple of 4 and (-5)/(-20) + j/(-8)?
4
Let z(c) = -c - 8. Suppose 3*a - 4*a - 6 = 0. Let q be z(a). Calculate the least common multiple of 12 and (-1)/(q - 86/(-44)).
132
Suppose -1 = -3*b + x, -b - 16 + 38 = 4*x. Suppose 6 = -30*p + 32*p. Calculate the lowest common multiple of b and p.
6
Let s = -2087/735 - 34/49. Let t = -962 - -17321/18. What is the common denominator of s and t?
90
Let j = 881/12 + -289/4. Let y = 42 - 75. Calculate the common denominator of j and y + (0 + 4 - 2).
6
Let j be -4 + 3 - (-131)/115. Let o = -47/3795 - j. Calculate the common denominator of o and -1*54/(-72)*230/9.
66
Let d = 19287/110 + -881/5. Let c = -80 + 88. Find the common denominator of 2/c + ((-165)/144)/5 and d.
528
Let r = -8147/6 + 1344. Let d be 1/5 - ((-311542)/2280)/17. Let z = d + 112/95. What is the common denominator of r and z?
12
Let u(b) = -15*b - 4. Let s be u(-1). Calculate the least common multiple of 8 and (-24)/(-7)*s/((-154)/(-49)).
24
Let b = -1 + 0. What is the lowest common multiple of 2 - 2*5/(-2) and (b - 0)/(1/(-3))?
21
Let h(n) = n**3 + 33*n**2 - n - 27. Let u be h(-33). Let x = u - -14. Calculate the smallest common multiple of 20 and x.
20
What is the common denominator of -12 + 7 - (-720)/125 and 32/135?
675
What is the least common multiple of 8 + ((-32)/64 - (-1)/(-2)) and 111?
777
Let s = -615 + 4939/8. What is the common denominator of s and 5/32?
32
Find the common denominator of (13/(-18))/((-9)/(594/4)) and 71/156.
156
Let s be 3/(-2) - 62769/6. Let v = 837027/80 + s. What is the common denominator of v and -9/22?
880
Let t(q) = -4*q + 7. Let z be t(3). Let y = 10 + z. Calculate the least common multiple of y and 11.
55
Suppose -5*h + 17 + 13 = 0. Let b(a) = a**2 + a - 16. What is the least common multiple of h and b(-6)?
42
Let i be 82506/5648 + 20/(-4). Let n = i - -6/353. Find the common denominator of n and -3/8.
8
Suppose 5*b - 3*b + 140 = 0. Calculate the common denominator of 214/b + 2/(-14) and (3/18)/((-3)/264).
15
Let g be 5553/2 - 54/36. Let p = -124933/45 + g. Find the common denominator of p and 113/20.
180
Let k(s) = 9*s - 9*s**2 - 2*s**3 - 3*s**3 + 5*s**3 + s**3 - 6. Let w be k(8). Suppose 3 = 3*a - w*a. Calculate the smallest common multiple of a and 4.
12
Suppose 4*c + 3*u - 82 = 18, -c = -2*u - 14. Let l = 60 - 55. What is the least common multiple of l and c?
110
Let p = 17118 - 10540. Let n = -131493/20 + p. What is the common denominator of 13/18 and n?
180
Let w(o) = o**2 + 11*o + 3. Let b be w(-11). Suppose 19 - b = 2*s. Calculate the smallest common multiple of s and 2.
8
Let h(v) be the first derivative of v**3/3 - 3*v**2/2 + 2*v + 2. Calculate the smallest common multiple of 7 and h(3).
14
Let h = 496/17 + -13267/425. Calculate the common denominator of h and 52/9.
225
Suppose -91 = 2*l - 6*l - k, -5*l + 115 = k. What is the smallest common multiple of 40 and l?
120
Let l = -2436 - -34077/14. Suppose 0 = 5*h - 3*h - 242. Let n = h + -279/2. What is the common denominator of n and l?
14
Let w(f) = 19*f**3 - 2*f + 1. Suppose 0 = -z - 4*r - 4, -z = -4*z + 3*r + 48. Let x = -2 + z. What is the lowest common multiple of w(1) and x?
90
Let a(d) = -d. What is the smallest common multiple of -2*(-582)/72 + 1/(-6) and a(-2)?
16
Let y = -2 + -28. Let g be 22/5 + 12/y. Let p(i) = -i + 12. What is the lowest common multiple of p(g) and 9?
72
Suppose -s + 40 = 3*s. Suppose p - 21 = 2*r, 58 = 4*p + 4*r + 22. Calculate the smallest common multiple of p and s.
130
Let u = 1103 - 13253/12. Calculate the common denominator of 85/332 and u.
996
Let u = -4 - -6. Let q = 14 + 3. Suppose 97 = 5*c + 4*x + q, 4*x + 28 = 4*c. Calculate the lowest common multiple of u and c.
12
Let s be ((-1)/1511)/((-6)/103742226). Let m = 11443 - s. Let j = m + 16603/13599. Calculate the common denominator of j and 58/3.
9
Suppose -2*k = -2*o + 64, 3*o - 2*k - 134 = -o. Let u(v) =