
56
Let w(k) = -2*k**2 - 27*k + 52. Let x be w(-23). Calculate the least common multiple of 2/(3/2 - x/(-270)) and 27.
27
Let m be (-4101)/(-16324) - (-3)/(-12). Let n = -363009/163240 - m. Find the common denominator of 1 - (424/(-160) - 4/20) and n.
40
Let b = 161499/50218 + -6/3587. Let k = b + 227/35. Calculate the common denominator of k and -39/2.
10
Let x(p) = -4*p - 5. Calculate the common denominator of 0 + 2/5 + -4 and x(6).
5
Let w = 32 - -1926. Let k = w + -29404/15. Calculate the common denominator of -51/20 and k.
60
Suppose -5*o + 111 = w - 138, 4*o - 199 = -w. Let j = o + -36. Let s = 40 + -22. Calculate the lowest common multiple of j and s.
126
Suppose -4*b + 6 = -b, -3*w = -b - 16. Let n = w + -1. Suppose 5*u = -5*t, 3*u + 26 = 4*t + n. What is the smallest common multiple of 2 and t?
6
Let o = -8807/84282 + -2/1277. What is the common denominator of o and -47/30?
330
Suppose 0 = 3*b + 11*y - 7*y + 1, 3*y + 6 = 3*b. Find the common denominator of 67/14 and (b + 75/(-78))*-95.
182
Let q = 3/11003 - 1331423/220060. What is the common denominator of q and -25/1228?
6140
Suppose 0 = 4*u + 4*r - 28, -5*u = r - 13 - 6. Calculate the common denominator of -1*u + (-169)/104 and -57*1/2 + 2.
8
Let k(v) = 2*v + 2. Let c be k(6). Let d be (-39)/c*(-42)/(-60). Let o = d - -983/140. Calculate the common denominator of 65/2 and o.
14
Let x be (-90)/(-21) + 2/(-7). Suppose x*j - 26 = 22. Suppose -2*k = -a + 18, 37 = a - 4*k + 9. Calculate the lowest common multiple of j and a.
24
Suppose -186 = 5*g - 681. What is the common denominator of 42/5 and -4 - (-1 - -4 - 783/g)?
55
Let a(s) = -7*s + 51. Calculate the least common multiple of 95 and a(3).
570
Suppose 5*o + 9 = -11. Let s = 0 - -18. What is the least common multiple of 1 - o/(12/9) and s?
36
Suppose g + 2*i = -4*g - 740, -i + 579 = -4*g. Let c = g + 3357/23. Let h = c - -211/92. Find the common denominator of h and 3/2.
4
Let t = 125 + -126. What is the common denominator of -85/18 and (-2)/(-2) + t/((-60)/162)?
90
Suppose -4*q + 3*f = 13971, 4*q + 2*f + 13986 = -0*q. Let y = 55901/16 + q. Calculate the common denominator of y and ((-1)/12)/((-12)/(-168)).
48
Let m = 621 + -121. Calculate the common denominator of (-740)/m*1/(-2)*5 and 25/6.
30
Suppose 162 = 66*a - 57*a. What is the least common multiple of a and 22?
198
Find the common denominator of ((-4)/10)/(4/(-11)) and 1848/126 + -2*4.
30
Let i = 41 + -17. Suppose -3*h - i = -11*h. Calculate the lowest common multiple of h and 4.
12
Let t = -17 - -19. Suppose 0 = 5*l + 2*j - 118, -4*l + 0*j + t*j + 80 = 0. Calculate the smallest common multiple of l and 6.
66
Let y(v) = -5*v**2 - 5*v. Let i(s) = -4*s**2 - 4*s - 1. Let t(w) = -4*i(w) + 3*y(w). What is the smallest common multiple of 36 and t(0)?
36
Let d = -7 - -24. Let b(h) = -h**3 + 7*h + 1. Suppose -2*s + 2*v + v - 6 = 0, v = 0. Calculate the smallest common multiple of d and b(s).
119
Suppose 0 = -6*u + 51 + 57. What is the lowest common multiple of u and 99?
198
Suppose -g + b + 24 = 6*b, 0 = g + 2*b - 12. Suppose -2*p = y + 2, 4*p = g*y + 8*p. Suppose y + 3 = 5*h. What is the smallest common multiple of h and 1?
1
Calculate the lowest common multiple of (219 - 2) + -40 + 39 and 24.
216
Calculate the least common multiple of (-12 + 8)*(-4)/2 and 4.
8
Let n = 4920 - 4888. Let j = -1 + 10. Suppose -5*t + d + j = -0*d, d - 9 = -4*t. Calculate the lowest common multiple of t and n.
32
Find the common denominator of -17/24 and (-160)/20 + (-1365)/(-160).
96
What is the common denominator of -74/39 and (102/252)/((-7)/7)?
546
Suppose -4*l + 19 = 7. Suppose -l*w + 17 = -3*v - 4, -v + 2*w = 7. Let i = v - -12. Calculate the least common multiple of 7 and i.
35
Suppose 6 = -3*o, 3*y + 2 - 6 = -o. Let v be (-1137 - 1)/((-12)/(-210)*7). Let w = 42613/15 + v. Calculate the common denominator of y and w.
15
Let l = -165 + 188. Suppose l*p - 203 + 42 = 0. Calculate the smallest common multiple of p and 3.
21
Let z = 32 + -36. Let v be z/(-2)*(-21)/(-21). What is the common denominator of -23/5 and 200/(-56) - 1*v?
35
Let s = -274 + 362. What is the least common multiple of s and 176?
176
Let b(h) = -h**3 + h + 1. Let a be b(-1). Suppose 2*j = -a + 23. Calculate the lowest common multiple of j and 10.
110
Let v = 115 + -27. Suppose 4*g - 3*p = -v, 4*g - 2*p + 61 + 31 = 0. Let m = g + 41. What is the lowest common multiple of m and 20?
80
Let f = 34 + -33. Find the common denominator of 29/12 and f - (4 - (-308)/(-96)).
24
What is the least common multiple of 18 and (208/32 + -11)*(-4)/9?
18
Suppose 12*b = 5*b + 91. Let s = 9 + b. Calculate the smallest common multiple of -4*5/(10/(-4)) and s.
88
Let z(h) be the first derivative of -1573*h**2/2 - 10*h - 5. Let c be z(-6). Let f = c + -113069/12. Find the common denominator of f and 43/11.
132
Let q = -102991/205 + 2506/5. Find the common denominator of q and 37/8.
328
Suppose 5*l + 3*b - 39 = 0, -4*b + 3*b = -4*l + 21. Let k be (8 - 8)/(0 + -1). Suppose 0 = -2*u - k*u + 20. What is the smallest common multiple of l and u?
30
Calculate the common denominator of -43/44 and (-1)/(-5) - (-513)/8360.
88
Let u(l) = l**3 + 2*l**2 + 2*l + 27. Calculate the lowest common multiple of u(-3) and 27.
108
Suppose -9*p + 10*p = 352. Suppose -2*h + 496 - 135 = -c, p = 2*h - 4*c. What is the common denominator of h/8 + (-8)/(-8) and 47/8?
8
Let h be (-6)/(-11160)*115*(-2 + 1). Let q = -858 + 26618/31. Let g = h + q. What is the common denominator of g and 93/20?
60
Suppose -23*r = -24*r + 14. Let i(a) = a**3 + a**2 - 2. What is the least common multiple of r and i(2)?
70
Suppose 0 = 5*r - m + 24, 3*r = m - 13 - 1. What is the lowest common multiple of 3 and 4 + r + 13 - 1?
33
Let r = -20 - -24. Suppose -4*c - 50 + 6 = -r*j, -3 = c. Calculate the lowest common multiple of j and 9.
72
Let i = -27/20 - 21/10. What is the common denominator of i and 71/234?
2340
Let z(x) = -x - 5. Let a be z(-6). Let q be a/((-1)/108*-2). Calculate the common denominator of -37/14 and (q/(-176))/(2/8).
154
Suppose w - 233 = -3*q - 1121, -2*w - 5*q - 1776 = 0. Find the common denominator of -49/12 and (w/(-48))/(-1 + 2).
12
Let r = 860240/427 - 3497/61. Let i = r - 1953. Suppose 2*j = -3*s + 48, 0*s = -2*j + 3*s + 48. What is the common denominator of i and j?
7
Suppose 0 = -6*d + 72 + 72. Suppose 2*x = x + d. What is the least common multiple of 24 and x?
24
Suppose -44*v = -18*v - 156. What is the lowest common multiple of 54 and v?
54
Calculate the smallest common multiple of 99 and ((-42)/8 - -6) + (-69)/(-4).
198
Let h = -24015/22 + 1092. Calculate the common denominator of -99/2 and h.
22
Calculate the least common multiple of 195 and ((-3)/(27/75))/(3/(-45)).
4875
Let a = -843 + 852. What is the least common multiple of 28 and a?
252
Let g = -3 - -18. What is the lowest common multiple of (-2)/(-5) - (-112)/20 and (-6)/5*(-50)/g?
12
Suppose -84*j - 188 = -88*j - 2*o, -8 = 4*o. What is the lowest common multiple of j and 42?
336
Suppose -3*t + 4*j = 1 + 7, 3*t + j - 17 = 0. Let o(a) = a**2 - 5*a - 3. Let n be o(t). Calculate the least common multiple of 6/(-14) - 31/n and 4.
4
Let y(n) = -n**2 - 12*n - 8. Calculate the least common multiple of 15 and y(-8).
120
Let h = -2392491/118 - -20276. Calculate the common denominator of h and 278*3/72 - 2.
708
Suppose 5*b + 5*c = -120, 3*c = -5*b + 7*c - 138. What is the common denominator of 13*(-1 - (-26)/16) and ((-42)/(-8))/((-3)/b)?
8
Let h = -471272 + 4706959/10. Let b = -571 - h. Let u = -72 - -38. What is the common denominator of b and u?
10
Let f(c) = -c**3 + 4*c**2 + 8*c. Let s be f(6). What is the common denominator of (s/224)/((-3)/107) and 20/7?
28
Calculate the common denominator of 566/(-1218) - 4/(-28) and 4/9.
261
Let a(x) = -10*x + 6. Let p be a(-9). Suppose -4*i - 3*l + p = 0, 58 = 4*i + 2*l - 38. Calculate the common denominator of -71/4 and -3*(-3)/i*-10.
4
Let n = -121859/12 + 10149. Suppose -3*p = t + 9, -2*t + 4*t = 3*p + 18. Find the common denominator of (-345)/9*t/(-18) and n.
36
Let m = 36551/2 + -12929. Let j = m - 4972. Let i = j - 366. What is the common denominator of 79/6 and i?
6
Let i(b) = -2*b - 4. Let l be i(-3). Calculate the lowest common multiple of 10 and (-357)/(-9) - l/(-6).
40
Let 