
30
Let i = 50915/1554 - 1118/37. What is the common denominator of i and -115/324?
2268
Suppose -13*y = -12*y + 5. Find the common denominator of -41/5 and y*177/(-294) - (7 - 4).
490
Let r(h) = 10*h**2 + 1. Suppose 3*g - 6 = -5*t, -18 = -3*t + g + 2*g. What is the smallest common multiple of r(1) and (5 - t)*((-6)/(-4) - -2)?
77
Suppose -10 + 0 = -2*y. Let i = y - 8. Let u(q) = 3*q**2 + 3*q. Calculate the lowest common multiple of u(i) and 16.
144
Let b(h) = 9*h**2 - 1. Let f = 1388 - 1376. What is the least common multiple of f and b(-1)?
24
Suppose -b + 96 = -3*y, -3*b - 5*y + 514 = 184. What is the least common multiple of b and 42?
210
Suppose -h + 7 + 14 = 0. Let v(k) = k**3 - 7*k**2 + 13*k - 6. Calculate the least common multiple of v(6) and h.
252
Let i be (-338)/(-12) + 3/(-18). Suppose -2*g - 2*g - 2*x = -88, -2*g + i = -3*x. Calculate the common denominator of (-728)/24*2/(-3 - 1) and g.
6
Let z = 399 - 398. What is the smallest common multiple of z and 65?
65
Let q be (-2 - -2)/(-2*1). Suppose q = 4*s + 2*j + 28, -2*s + 3*j - 6*j - 18 = 0. What is the smallest common multiple of 5*2/5 - s and 6?
24
Let d(r) = 13*r - 45. Let t(o) = 14*o - 46. Let p(k) = 3*d(k) - 2*t(k). What is the lowest common multiple of p(5) and 250?
1500
Let v = -9 + 19. Let u = v + -4. Suppose g = u*g - 50. What is the least common multiple of 3 and g?
30
Let x be (1204/4074)/((-1)/3). Let n = -8695/1164 - x. Calculate the common denominator of n and -31/10.
60
Let z = -55/8 - -11/8. Calculate the common denominator of 59/44 and z.
44
Let h = 39091/720390 + -6/2183. What is the common denominator of h and 79/120?
1320
Let c = -1843803/2 - -129064599/140. Let h = -59/28 - c. Calculate the common denominator of 41/8 and h.
40
Let r = -61 - 910. Let p = r - -17377/18. What is the common denominator of p and 7/12?
36
Let v(t) = t**2 + 15*t + 16. Let c be 6/9 + 76/(-6). Let r be v(c). Find the common denominator of 59/38 and (6 - 39)*(-2)/r.
190
Let v(h) = -9*h - 30. Let l be v(11). Let t = -96 - l. What is the least common multiple of t and 30?
330
Let d = -30 + 31. Find the common denominator of -56/5 and (d/(-5))/(8/(-870)).
20
Let b(k) = 3*k + 23. Suppose -20 = 140*y - 136*y. Calculate the lowest common multiple of b(y) and 80.
80
Let t = 2/7855 - 793407/204230. Find the common denominator of -59/10 and t.
130
Suppose -3*a - 4 = 74. Let b be (2 + (-2 - 0))/(-1). Suppose -t + 0*m + 54 = 4*m, b = -3*t + m + 110. Calculate the common denominator of a and t.
1
Suppose 2*y + 22 = 2*p, 2*p + p = 5*y + 41. Suppose 0 = 4*u + 123 - 43. Let c = u + 33. Calculate the lowest common multiple of p and c.
91
Suppose -9*r = -171 - 72. Suppose 5*p - 175 = -0*p. Let n = p - r. Calculate the least common multiple of 14 and n.
56
Let g(r) = 8*r**3 + 1. Let q be g(2). Find the common denominator of 33/q + 2*6/(-24) and 47/12.
780
Let v be 132/72 - (11/6 + -2). Suppose -v*f - 8 = -3*f. What is the lowest common multiple of 2*15*(-2)/(-5) and f?
24
Suppose -4*c = -5*f - 28670, 9517 = -2*f + c - 1954. Let l = f - -57461/10. Find the common denominator of 113/18 and l.
90
Let q = -1/1635 + -85009/17985. Find the common denominator of -1/22 and q.
22
Let m = -1459/12 - -331/3. Let r be ((-1)/(-3))/((-4)/30). Let h = 13/5 + r. Find the common denominator of m and h.
20
Let u = -5501/17 - -85899/170. Let s = -192 + u. Let d = 102635/14 + -7328. Find the common denominator of d and s.
70
Find the common denominator of 5/((-75)/2) + (-18228)/(-5760) and -3/88.
352
Let j(i) = i**2 - 2*i + 2. Let y be j(2). What is the common denominator of ((-1)/1 - y) + (-155)/40 and 95/(-18) + 2 - -1?
72
Let h be (-9)/(108/80) - 4/12. What is the lowest common multiple of 8 and h/(-3) + (-3)/(-18)*4?
24
Suppose 4 - 2 = o. What is the least common multiple of 22 and o?
22
Let o = 1/3876 + 55207/100776. Calculate the common denominator of -47/80 and o.
1040
Let g = 1171391/42 - 27892. Calculate the common denominator of g and -53/120.
840
Let t(x) = 5*x**2 + 5*x + 6. Let s be t(-3). Suppose 0 = s*z - 31*z - 80. What is the smallest common multiple of z and 20?
80
Let x = -13/263 + 96547/526. Let g = x - 219. What is the common denominator of 54/11 and g?
22
Suppose -6*g + 1595 = -325. Calculate the least common multiple of 20 and g.
320
Suppose o + 0*o + 28 = -4*l, -l = 5*o + 216. What is the common denominator of (-3905)/o*4/(-10) and 2/9 + (-215)/198?
22
Suppose 0 = -5*w + 54 + 11. Let h = w - 15. Calculate the lowest common multiple of 17/2 - (-1)/h and 4.
8
Let v(g) = g**3 - 7*g**2 + g - 7. Let y be v(7). Suppose y = p - 7 + 6. Find the common denominator of 45/2 and (2 + -10)/(-21 - p).
22
Let c(l) = -10*l. What is the least common multiple of 50 and c(-10)?
100
Let s = -9 + 20. Suppose -3*f + l = -l + 188, 0 = f - l + 62. Let p = f + 74. What is the smallest common multiple of p and s?
110
Suppose 0 = -5*c + 15*c - 40. Calculate the least common multiple of c and 295.
1180
Let l(y) = -y**3 + 5*y**2 + 11*y - 12. Let m(t) = -t - 4. Let s be m(-2). What is the least common multiple of l(6) and 13*s*(2 + -3)?
234
Suppose 3*d - 6 = 0, 0 = -5*q + 4*q - 2*d + 25. Let v = 49 - q. Calculate the least common multiple of 28 and v.
28
Let n = -579 - -750. What is the least common multiple of n and 21?
1197
Suppose 4*z - 2*r + 21 = -r, -3*r = 9. Calculate the common denominator of (-50)/(-72) + (-3)/z and 1/(56/194)*-2.
252
Suppose -4 = 2*z, -3*w - 3*z + 31 = -2*z. Calculate the lowest common multiple of w and (27 + -10 - -12) + -3.
286
Suppose 4*s - 5*j + 13 = 0, 2*j = 2*s + 3*j + 17. What is the lowest common multiple of (-10)/(-35) + -2 + (-138)/s and 12?
36
Let n = -21/754 - -21699/7540. Let d be 8/(-28) + 918/3017. Let b = d + 27951/3448. Find the common denominator of b and n.
40
Let a(w) = -9*w**2 - 117*w + 2. Calculate the lowest common multiple of 0 - (-12 - (-1 + 0)) and a(-13).
22
Let w(z) = 3*z - 28. Let k be 38/3 + 10/(-15). What is the smallest common multiple of w(k) and 20?
40
Suppose -5*p + 115 = 3*s, -5*p + s + 49 + 66 = 0. What is the least common multiple of p and 8?
184
Let s = -20473697/1683 + 12165. Let p = s - -196951/33660. Let m = 245/2 + -167. What is the common denominator of p and m?
20
Let x(u) = -u**2 + 7*u + 92. Calculate the smallest common multiple of x(12) and 36.
288
Let b be 1/(0 + (-2)/(-192)). Suppose b = 5*r - 4. Let u = 29 - r. Calculate the least common multiple of u and 7.
63
Let v be ((-5)/(-3))/((-15)/(-54)). Calculate the smallest common multiple of 4 and (3*8)/(-3 - (-27)/v).
16
Let b(l) = l**2 + 5*l. Let n be b(-7). Suppose n*q - 135 = 9*q. Suppose -3*r + q = 3*w, -2*r - 2*w = -7*w - 11. What is the lowest common multiple of r and 3?
24
Let r = -5112 - -81821/16. Find the common denominator of r and 67/366.
2928
Suppose 5*v = 38 + 72. Let l = -60 + 102. Suppose -4*o + l = -o. Calculate the smallest common multiple of o and v.
154
Let m(p) = -p**2 - 6*p + 42. Let f be m(-10). Suppose f*j = 3*n + j - 7, j - 1 = n. Calculate the least common multiple of 20 and n.
20
Find the common denominator of 151/42 and 9 + (-10 - 356/(-8)).
42
Calculate the smallest common multiple of 450 and -9 - (2 + 715/(-11)).
1350
Suppose 5*n + 9*n - 168 = 0. What is the lowest common multiple of 14 and n?
84
Suppose -2*u - 3*c + 11 = -6*c, 0 = 2*c + 2. Suppose y + 3*y + 1194 = 3*w, 5*y - 1623 = -u*w. What is the common denominator of 1/(-2) + w/54 and 67/4?
36
Let s = 383 - 37. What is the smallest common multiple of s and 12?
2076
Let x = -600719/44 + 13652. What is the common denominator of x and 73/176?
176
Let o(f) = -2*f + 19. What is the lowest common multiple of (-10)/3*-1*3 and o(4)?
110
Let v = -227036/47 - -4832. Let z = v + -3245/846. What is the common denominator of -85/4 and z?
36
Calculate the common denominator of -21/25 and (-2825)/(-60)*4/10.
150
What is the common denominator of -133/6 and (-346)/216 + -41 + 44?
108
Let l(z) = z**3 - 8*z - 6 + 11*z**2 - 6*z**2 + 0. Let j(y) = 3*y + 10. Calculate the least common multiple of l(-6) and j(-2).
12
Suppose 4*i + i = -4*q + 563, -5*q = -4*i - 755. Calculate the lowest common multiple of q and 11.
1617
Calculate the least common multiple of 145 + (-33)/(110/(-10)) and 74.
148
What is the common denominator of -41/9 and (-1)/(