110
Suppose -140 = -2*r + 4*f, r = 4*f + 23 + 53. What is the least common multiple of 28 and r?
448
Suppose -y + 22 = 5*w, -5*y - 14 = 1. Calculate the common denominator of 1/16 and (w/(50/395))/7.
112
Let w(c) = -c**2 - 17*c + 62. Calculate the smallest common multiple of 4 and w(-20).
4
Let r(y) = y**3 - 2*y**2 - 3*y - 118. Let u be r(0). Let j = 128 + u. Calculate the least common multiple of 4 and j.
20
Let j = -2 - -12. Let f = -273 + 283. What is the lowest common multiple of j and f?
10
Suppose -6*q = 21 + 3. Let z(m) = m**3 + 4*m**2 - 2*m + 9. Calculate the lowest common multiple of 5 and z(q).
85
Let c(g) = 3*g - 7. Let b be (1 - -2)/(-1 - -2). What is the smallest common multiple of 2 and c(b)?
2
Let h be ((-844)/(-3))/((-3)/(-9)). Find the common denominator of 2/8 - h/(-80) and (-185)/15 + (1 + 0)*(-15)/(-3).
15
Suppose 404 = 2*f + 2*a, 3*f + 27*a = 30*a + 594. What is the lowest common multiple of f and 40?
200
Suppose -5*k = 4*q - 802, 2*k - 5*k + 489 = 5*q. Find the common denominator of (-139)/18 - 6/12 and 1/(-5) - k/(-20).
90
Find the common denominator of -49/20 and 1 + (-3614)/5340 + 382/(-955).
5340
Suppose 17 - 5 = 4*o. Suppose o*a = 7*a - 12. Calculate the least common multiple of a and 7.
21
Let m = 11321/1248 - 303/32. Let j = 34789/144 + -2122/9. What is the common denominator of j and m?
624
Suppose 0 = -3*f - 3*j - 357, 5*j = 3*f + 287 + 54. Let w = 411 + -1267/3. Calculate the common denominator of 0 - (f/(-10))/1 and w.
30
Let f = 20 - 10. Let l = 18 - f. Calculate the common denominator of ((-10)/25)/(l/130) and -29/4.
4
Suppose 2*q = -5*n - 1049 - 1693, -2*q + 5*n = 2722. Let t = q - -4046/3. Let s(i) = -3*i - 2. Calculate the common denominator of t and s(-3).
3
Suppose 11 - 71 = -4*p. Let k = 33 + p. What is the least common multiple of 33 and k?
528
Suppose 357 = -i + 461. What is the least common multiple of 20 and i?
520
Calculate the lowest common multiple of 36 and 6/15 - (3 - 163/5).
180
Let u be (853/1)/((-6)/29). Let h = u + 4143. Calculate the common denominator of h and -103/14.
42
Let k(q) = -q**2 + 12*q + 38. Calculate the least common multiple of 12 and k(10).
348
Suppose -3*q = -4*k - 5 - 4, -3*k = -q + 3. Suppose -q*f = -7*f - 8. Calculate the least common multiple of 4*3*(-3)/f and 4.
36
Suppose x - 4*v = 2*x - 60, -3*x + 5*v + 231 = 0. Calculate the common denominator of -77/15 and (230/21)/(x/(-42)).
90
Suppose 3*p = 6, v + 3*v = p - 50. Find the common denominator of (6/8)/((-33)/v) and -22/3.
33
Let h be -5 - -3 - -3 - -5. Let o = h + -2. Calculate the smallest common multiple of (20/6 - 3)*33 and o.
44
Suppose s - o = o - 1, -5*o + 5 = 0. Calculate the common denominator of -47/4 and 90/(-300)*(s - 34/3).
20
Let q = -222 + 276. Calculate the smallest common multiple of 12 and q.
108
Let g = 11 + -6. Suppose 0 = k - 4*y - 16, 3*k - 2*y - 38 = -20. Suppose g*d + 3*n - 84 = 0, k*n + 6 + 2 = 0. Calculate the least common multiple of 4 and d.
36
Suppose 0 = l + 4*l + 70. Let j = -6 + 12. What is the common denominator of -55/8 and (l/j)/(14/21)?
8
Let l(j) = 5 + 2 - 5*j**2 + j**3 + 2 + 0. Calculate the smallest common multiple of 10 and l(5).
90
Let q = -1655 + -317. Let l = q - -13778/7. Calculate the common denominator of l and -54/11.
77
Calculate the common denominator of -67/2 and ((-306)/45)/(1/(50/16)).
4
Let o = 1659/2 + -858. What is the common denominator of o and -59/62?
62
Let v = 87117/10 + -8719. What is the common denominator of 272/6*2/4 and v?
30
Let y be (-1 - 2)*2/(-3). Suppose -v + 9 = y*v. Suppose c - 21 = -5*o, -4*c + 2*o + o + 15 = 0. Calculate the least common multiple of c and v.
6
Let r = -48 + 81. Calculate the common denominator of (-143)/r + 2/4 and 21/100.
300
Let w = 10119 - 1821281/180. What is the common denominator of w and 1/120?
360
Let h = 226 + 104. What is the least common multiple of h and 18?
990
Suppose 299 = 4*d - 301. Let u = -2395/16 + d. What is the common denominator of u and (-4)/(-18) - (-2865)/(-378)?
112
Suppose 5*z + 3*y + 5 = 0, 4*z + 14*y = 16*y + 18. What is the least common multiple of 114 and z?
114
Let r = 361453/22 + -16432. Let k(s) = -5*s**3 - 3*s**2 - 2*s + 6. Let p be k(-7). Let v = 28571/18 - p. Find the common denominator of v and r.
198
Let b = -12779447/90 + 141992. Find the common denominator of 49/15 and b.
90
Let g(b) = b - 11. Let m(o) = -o**2 - 3*o - 2. Let f be m(-2). Let u be g(f). What is the common denominator of -81/16 and -4 + (1023/18)/u?
48
Let a(r) = -21 + 31 + 9*r + r**2 + 9*r**2 + r**3. Calculate the least common multiple of a(-9) and 4.
20
Let d(n) = n + 32. Let v be 3/(-12) - ((-188)/(-16) - 0). Calculate the smallest common multiple of 20 and d(v).
20
Suppose z + 5*t - 3 = 3*z, 8 = 3*z + 5*t. What is the common denominator of (-2*(z - 0))/(24/9) and -91/12?
12
Let v = 2285/3 + -786. What is the common denominator of v and -68/39?
39
Suppose -5*c - 3235 = 1670. Let k = c + 36301/37. Let j = -60/31 + 1373/341. What is the common denominator of j and k?
407
Suppose -40 = -91*p + 86*p. What is the least common multiple of p and 62?
248
Let d(h) = 4*h - 10. Let r(y) = 5*y - 8. Let j be r(2). What is the least common multiple of (-8 - -7)/(j/(-16)) and d(5)?
40
Let u be (-1 - 18220/(-22))/1. Let j = 828 - u. What is the common denominator of j and 34?
11
Let n = 389 - 246. What is the lowest common multiple of n and 117?
1287
Suppose -7*k - 621 = -16*k. Calculate the least common multiple of 9 and k.
207
Let c(r) = -r**3 - 9*r**2 + 20*r + 8. What is the smallest common multiple of c(-11) and 120?
120
Let p(x) = -x**3 - 20*x**2 - 19*x + 21. What is the smallest common multiple of 84 and p(-19)?
84
What is the common denominator of 44/81 and (-5)/((-1080)/596) + 2/(-4)?
81
Let f = -105 - -66. Suppose 5*w + 271 = -34. Let i = f - w. What is the lowest common multiple of i and 10?
110
Suppose -4*v - 2*d + 118 = 0, -18 - 10 = -v - 2*d. What is the lowest common multiple of v and 306?
1530
Let y be (-1 + -1)/((-2)/372). Let k = -3747/10 + y. Let q = 1039 - 11442/11. Calculate the common denominator of q and k.
110
Let r be 16/10*675/(-54). Find the common denominator of (-37*2/5)/(-8) and (-50)/r - 2/(-16).
40
Let z be 4 - (58/52)/((-14)/21). Let i = z - -40/13. What is the common denominator of 95/24 and i?
24
Suppose -13 = -2*u + 5. Suppose -3*m + 5*m - 4*s = -4, -5*s + 25 = 0. What is the least common multiple of 0 + m - ((-15)/5 - -3) and u?
72
Let n = -6254 - -444048/71. What is the common denominator of n and 20/11?
781
Suppose -3*s + 5*r = -66 + 12, -10 = -s - r. What is the least common multiple of s and 10?
130
Let w = 70 - 28. Suppose -4*h - h + 95 = j, -5*h - 3*j = -85. Calculate the least common multiple of w and h.
420
Let s = -27517/20498 + 25/554. Find the common denominator of s and 46/15.
555
Let f = -531 - 1963. Let o = -44879/18 - f. Calculate the common denominator of o and 23/2.
18
Let r = -14 + 4. Let w = r + 20. What is the smallest common multiple of w and 1?
10
Let a be 333/3*2/6. Suppose -a = -8*h + 27. What is the smallest common multiple of 4 and h?
8
Let c be ((-3)/3 - -1)/(-2). Let u be c + (-2 - (0 - 0)). What is the common denominator of (-1)/u - 258/156 and -12?
13
Suppose -122*z - 63 = -129*z. Calculate the smallest common multiple of z and 27.
27
Let w be (1/2)/((-2)/(-20)). Suppose -d = -m - w, -m - 10 = 4*d + m. What is the common denominator of 11/19 and d + (1460/(-36))/(-5)?
171
Suppose 0 = -2*v - 2*v - 3*l + 39, -42 = -5*v + 3*l. What is the least common multiple of ((-22)/3)/(6/(-9)) and v?
99
Suppose -28 = -10*v - 4*v. Calculate the lowest common multiple of 417 and v.
834
Let f = -1302/5 - -43883/170. Find the common denominator of f and 55/6.
102
Suppose -j + 4*v = 8, -v + 3 = -0. Suppose j*f + 24 = 96. Calculate the smallest common multiple of 14 and f.
126
Suppose -4*g = -3*n - 54, 0 = -3*g - 2*n + 1 + 31. What is the smallest common multiple of 36 and g?
36
Let h = 857/105 - -1/210. Find the common denominator of h and 83/40.
120
Suppose -2*f - 3*j = -246, -5*f + 198 + 459 = -3*j. What is the lowest common multiple of 7 and f?
903
Calculate the common denominator of 47/22 and ((-15)/(525/170))/(-1 + 5).
154
Let u = 300 + -260. Calculate the smallest common multiple of