 -4*s - 27 = -0*o - o, -4*o = -5*s - 53. What is the least common multiple of o and 58/18 - c/(-36)?
21
Suppose 3*w - 25 = -1. Suppose 194*y = 190*y + 112. What is the least common multiple of w and y?
56
Let w(x) = x**3 + 12*x**2 + 2*x + 42. What is the smallest common multiple of 16 and w(-12)?
144
Let b be (1 - -1)*(-3)/6. What is the lowest common multiple of b/(-4) - (-213)/12 and 9?
18
Let o(v) = 8*v**3 - v**2 + 4*v - 2. Let u be o(1). Find the common denominator of 52/15 and ((-4)/u)/((-5)/(-525)*6).
45
Let h = 86 - 83. Let d = 21 - h. Calculate the smallest common multiple of 6 and d.
18
Let v = 585729 - 4109100/7. Let m = -1281 - v. Find the common denominator of 41/2 and m.
14
Let r = 79/4 + -661/36. Let p = 703/9 + r. Let x = p + -100. Calculate the common denominator of x and -5/34.
34
Suppose -116 = w - 5*w. Let x = 43 - w. What is the lowest common multiple of 10 and x?
70
Let x = -21766/11 + 1983. Calculate the common denominator of x and 2/9 + 35/(-7).
99
Let y = 3/397 - -11504/1191. Calculate the common denominator of 1/42 and y.
42
What is the common denominator of 4 + (-184)/44 - (-1025)/(-1320) and -23/10?
120
Let k(v) = -61*v + 2. Let s(r) = -r + 5. Calculate the smallest common multiple of k(0) and s(-5).
10
Suppose -10 = 2*a - 3*r + r, -3*r + 15 = 2*a. Let c(u) = -u**3 + 5*u**2 + 7*u + 1. What is the lowest common multiple of c(6) and (0 + 1 + a)*5?
35
Calculate the least common multiple of (-8)/(-36) - (-5)/(180/4744) and 22.
132
Suppose -23*r + 124 + 106 = 0. What is the least common multiple of r and 92?
460
Let n(f) = f**3 + 19*f**2 + 21*f - 10. Calculate the least common multiple of n(-14) and 16.
2704
Suppose -b - 3*b = -28. Calculate the smallest common multiple of (-6)/9 - (-735)/63 and b.
77
Suppose 12 = 4*d - 40. Calculate the least common multiple of 5 and d.
65
Let b be (-2)/(-5) - (-289544)/(-10). Let w = 578959/20 + b. What is the common denominator of w and ((-1)/3)/(22/123)?
220
Let s be (3 - (0 + 1))/(-2). What is the lowest common multiple of (-7 - -1)*(-6)/4 and s/((-5)/(15/1))?
9
Let m = 3 + 9. Suppose -2*v - 48 = m. Let l = 1373/5 - 267. What is the common denominator of l and v?
5
Suppose 3*g = -2*q - 21 + 59, 4*g = 16. What is the lowest common multiple of 9 and q?
117
Suppose 0 = -6*i + 4*i + 78. Suppose 48 = 3*t + 4*u, 4*t - 44 - i = u. Calculate the lowest common multiple of t and 25.
100
Let i = -571 + 583. What is the smallest common multiple of i and 12?
12
Let n = -10 - -44. Let s = n + -16. What is the lowest common multiple of 6 and s?
18
Let z = 2063/371 - -39/106. Let o be 23998/3384 + 7/(-14). Let m = o + 11/564. Find the common denominator of z and m.
126
Suppose 0 = 5*a - 15, -s + 2*s = -4*a + 16. Suppose s*w - 2 = 3*w. Calculate the least common multiple of w and (0 + -11)/(4/(-8)*1).
22
Suppose s + 165 = 4*s. Let m = 62 - s. Calculate the lowest common multiple of 6 and m.
42
Let j(w) = -7*w**3 - 132*w**2 + 19*w + 4. What is the smallest common multiple of j(-19) and 218?
436
Let m(r) = r**3 + 4*r**2 - 8*r - 5. Suppose -19 = -c - 23. Let t be m(c). Suppose -t - 38 = -5*w. What is the least common multiple of w and 9?
117
Let z(v) = -v**3 - 14*v**2 - 13*v + 4. Let h be z(-13). Calculate the least common multiple of 2/h*12 - 4 and 12.
12
What is the common denominator of -85/16 and ((-321)/2)/(1 + -1 - -27)?
144
Let i(c) = -c**3 - 15*c**2 - 14*c + 1. Let k be i(-14). Calculate the least common multiple of 8 and -2*((-36)/8 + k).
56
Let q be (-3033)/588 - 6/(-8). Let m = 633/490 - q. What is the common denominator of m and -49/20?
20
Find the common denominator of (-4)/10 + (1190/(-200) - 3/(-12)) and (74/4)/(8/2).
40
Let t = 2/3071 - -273315/6142. Find the common denominator of t and -1 - 103/(-4) - 0.
4
Suppose 0 = 5*i + 11*i - 288. Let c = -43 - -113. Calculate the least common multiple of c and i.
630
Let k = -14 + 18. Suppose k*q = -q + 20. Calculate the least common multiple of (1 + -2)/(4/(-8)) and q.
4
Let a(u) = -u**2 - 8*u - 7. Suppose -3*t + 0*z - 29 = 4*z, 5*t + 3*z + 30 = 0. What is the lowest common multiple of 11 and a(t)?
88
Let m = 862562025538746/70007 + -12321082542. Let k = m + 2/959. Let g = 4159/1460 + k. Find the common denominator of 51/16 and g.
80
Calculate the smallest common multiple of (50/(-8))/((-100)/160) and 528.
2640
Suppose 50 = 5*p + 5*h, p = 110*h - 106*h - 15. Calculate the lowest common multiple of p and 120.
120
What is the common denominator of 71/520 and 944/(-640) + (-6)/(-4)?
520
Let i(t) = t**3 - 4*t**2 - 9*t - 9. What is the lowest common multiple of 21 and i(6)?
63
Let l = 0 - -20. Let t(c) = -21*c**2 + c - 1. Let x be t(1). Calculate the least common multiple of l and 6*1*(-7)/x.
20
Suppose -5*o + 176 = 6*o. Let t = 277 - 189. What is the least common multiple of t/5 + 10/25 and o?
144
Let o = 36 - 116/3. Find the common denominator of -59/72 and o.
72
Let o(y) = 3*y**2 - 9*y - 3. Let q(g) = 16*g**2 - 46*g - 16. Let c(x) = -11*o(x) + 2*q(x). Calculate the smallest common multiple of c(5) and 7.
77
Suppose -v - v - 1 = 3*r, 5*r = 4*v - 31. Suppose 4 = -2*d - v*m, 3 - 7 = 3*d + 5*m. What is the lowest common multiple of (2/(-7))/((-9)/189) and d?
6
Let y = -175 + 124. Calculate the common denominator of -103/12 and -3*(y/54 - -3).
12
Let b = -182 - -808. Suppose f + 0*f + b = -3*l, -5*l = 0. Let o = f - -6267/10. What is the common denominator of 19/8 and o?
40
Let w = 116 - 95. Let g(b) = -b**3 - 10*b**2 - 10*b - 3. Calculate the lowest common multiple of g(-9) and w.
42
Calculate the common denominator of 69/2*(-4)/39 and (108/(-30))/((-240)/(-825)).
104
What is the common denominator of ((-242)/10)/((-24)/(-10)) and ((-105)/(-54) + -2)/(108/9882)?
12
Let r(c) = c - 1. Let s be r(-13). What is the least common multiple of (7/2)/((-7)/s) and 3?
21
Suppose -28 - 42 = 5*z. What is the common denominator of -35/2 and z/112 + (-370)/(-112)?
28
Let w be ((-78)/9)/(6/(-27)). Let z = w - 29. What is the lowest common multiple of 6 and z?
30
Let t = 8651/2781 + -61/103. What is the common denominator of 4*(-201)/(-126) + -3 and t?
189
Let o be -33*(-1)/(-3)*-1. What is the smallest common multiple of 3 and (6 - (-1 - -3)) + o?
15
Let j = 27 - -110. Let p = j - 128. Calculate the lowest common multiple of 19 and p.
171
Let k = -22 + 28. Find the common denominator of k/21 + 285/56 and 6/10 - (-212)/(-45).
72
Let n = -51662 - -2169677/42. Calculate the common denominator of -11/28 and n.
84
Suppose -2*b + 81 = -37. Let p = -39 + b. Suppose -4 = -7*h + 6*h. What is the least common multiple of h and p?
20
Let o(q) = 6*q**2 + 5*q + 14. Let d(v) = -3*v**2 - 2*v - 7. Let y(f) = -5*d(f) - 2*o(f). Calculate the smallest common multiple of 5 and y(0).
35
Suppose -4*y + u + 4 = -3*u, 12 = 3*u. What is the common denominator of 16/11 and ((-565)/125 + y)/((-1)/15)?
55
Suppose 13 = -q + 45. Calculate the lowest common multiple of (-36)/(-15)*40/6 and q.
32
Let v(g) = -22*g + 23*g + 72*g**2 - 53*g**2. Calculate the least common multiple of 7 and v(1).
140
Suppose -4*m - 13 - 71 = 0. Let c = m - -24. Suppose c*r - 5*s = -2, -r - s - 1 = -3. Calculate the lowest common multiple of r and 5.
5
Let w be 1*3 - (-1 - 0). Suppose 6 = -2*t, 13 = w*i - t - 6. Suppose 18 = -0*x + 2*x - 3*p, -4*x = 3*p - 18. What is the lowest common multiple of x and i?
12
Let v = 1/2343 - -77315/9372. Let r be 2/(-2 + 0)*-42. Find the common denominator of v and 213/(-2)*(-2)/r.
28
Suppose 3*a - 7*a + 16 = 0. Calculate the smallest common multiple of (-66)/297 + 182/9 and a.
20
Let x(n) = 3 + n**3 + 5*n**2 + 9 - n + n**2 - 2. Let y be x(-7). Let j = y + 40. What is the smallest common multiple of j and 14?
56
Suppose 3*x - 3*v = -4*v + 33, -5*x - 3*v = -59. Calculate the smallest common multiple of 12 and x.
60
Let x = -27 - -42. Suppose 0 = 2*l - x + 1. Suppose -3*g + l = 4*g. What is the lowest common multiple of 4 and g?
4
Let m(x) = -x**3 + 8*x**2 - 3*x - 18. Let y be m(8). Calculate the common denominator of -101/16 and (3/(-2))/(y/202).
112
Let h be ((-2)/2)/((-3)/75). Let g = -3 - h. What is the lowest common multiple of 12 and (-3)/(62/g - -2)?
84
Let d = 2/10605 + 965039/84840. Calculate the common denominator of ((-14)/42)/(42/513) and d.
56
Let s(m) = m + 4. Let l be 12/