225 - 143. Let q = 369 + -355. Calculate the lowest common multiple of q and x.
574
Let r be 1/(-2) - (-243)/(-6). Find the common denominator of r/(-8) + 12/3 and -107/26.
104
Suppose 3*m - 56 = -3*q + 28, 4*m = -2*q + 48. What is the smallest common multiple of 112 and q?
224
Let h(w) = -3*w**3 + 17*w**2 - 3*w. Calculate the least common multiple of 35 and h(5).
35
Suppose 2*f - 11*f = -90. Suppose -29 = -4*h - 3*n, n = 4*h - 12 - 5. Suppose k + 20 = h*k. Calculate the least common multiple of f and k.
10
Let m(t) = 6*t**3 + 2 - 13*t**2 - 5*t**3 + 19*t**2. Calculate the least common multiple of 5 and m(-6).
10
Suppose 0*r + 72 = 3*r. Let k = 28/325 - 20923/5200. Calculate the common denominator of k and (-53)/r + -7 + 7.
48
Let l be 3 + (-11)/3 + 1268/336. Let h = l - 20/7. Calculate the common denominator of h and 38/17.
68
Suppose a + 8 = 20. Suppose 2*l = -2*l - 3*w + 17, 3*l - a = -2*w. Calculate the smallest common multiple of l and 2*(-3)/(-12)*2.
2
Let n = -204 + 215. What is the least common multiple of n and 161?
1771
Suppose -5*w = -l + 2 + 2, 5*l - w = 20. Calculate the common denominator of -23/22 and l/(-30)*665/(-12).
198
Let u = 24888689795/154 + -161616213. Let z = u - -9432/7. Find the common denominator of z and 91/(-6) - (-1 + 0).
66
Let g = 420 - 10057/24. Find the common denominator of -41/15 and g.
120
Let u be (-240223)/(-22) + 4/(-4). Let w = u + -10921. Calculate the common denominator of (-77)/4 + -4 - 1 and w.
44
Suppose -3*l + 175 = 2*l. Let k be 4/(-14) + 1641/l. Let j = -743/30 + k. What is the common denominator of -17/8 and j?
24
Suppose -2*o + 2*l = -0*l + 4, -3*l - 10 = o. Suppose -54 = -0*c - 3*c. What is the lowest common multiple of o/((-8)/50)*10/25 and c?
90
Let n = 738611/6 + -120653. Let s = n + -2443. Calculate the common denominator of s and 145/18.
18
What is the smallest common multiple of 16 and 34*(-7 - -61 - 2)?
3536
Suppose -y = -3*b - 0*y + 8, 2*b + y - 2 = 0. Let m = 5 + 5. Let h = m + b. Calculate the least common multiple of 20 and h.
60
Let i = 2169/2 + -1087. Find the common denominator of i and -33/2.
2
Suppose 5*r = 16 + 4. Suppose 6 - 94 = -r*f. Calculate the lowest common multiple of f and 14.
154
Let s = 82661/37980 + 19/1055. Find the common denominator of s and -89/96.
288
Suppose 6*x = -1 + 31. Suppose 0 = -x*z - 5*a + 50, 3*z = z - 4*a + 20. What is the least common multiple of z and 3?
30
Suppose 9*w = -w - 490. What is the common denominator of (-57)/(-70) + 6/21 and w?
10
Suppose -585 = -18*t - 45. Calculate the least common multiple of t and 30.
30
Suppose -4*o + 697 = -59. Suppose -9*q = 45 - o. Suppose d + 0 - 2 = 0. What is the lowest common multiple of q and d?
16
Let n be (16/136 - 102862/(-26486)) + -4. Let s = -52225/24928 + n. Find the common denominator of s and 54/5.
160
Suppose 6*r + 25 = 1. Let n(w) = 3*w**2 + 4*w. Calculate the common denominator of (-38)/(-7)*1/2 and n(r).
7
Suppose 5*h - 6*h + 4 = 0. Let a be h/(-6) - 4626/(-120). Let k = a - 194/5. Calculate the common denominator of -1/2 and k.
12
Let x = -1496/23 + 16273/276. Find the common denominator of -46/21 and x.
84
Let s(b) = b**3 + 7*b**2 - b - 4. Suppose 3*c + 66 = -0*c. Let d = -29 - c. What is the lowest common multiple of s(d) and 10?
30
What is the least common multiple of (-3)/(-2*(-15)/(-80)) and 1?
8
Let r be 3*(2 - (-8)/(-6)). Suppose 23 = r*a + 5. Let z = 2 + a. What is the smallest common multiple of 7 and z?
77
Let j(x) = 45*x**2 + 3. Calculate the lowest common multiple of j(1) and 32.
96
Let n = -73698605/18 + 4095413. Let o = -1047 + n. Calculate the common denominator of -5/4 and o.
36
Suppose 0 = 4*t - 7 - 9. Suppose t*a = 7*a - 27. What is the smallest common multiple of 11 and a?
99
Let v = 22949/8 + -2864. Find the common denominator of v and (-4)/((-240)/(-261)) - (-70 + 71).
40
Suppose u = 5, 5*k - 4*u + 1 = -4. What is the least common multiple of k and 19?
57
Calculate the common denominator of (1/(-22))/((-3)/48) and (-10735)/805 + 7 + 6.
1771
Let h = 28 + -6. Let d = -29 + 45. Suppose 0 = u - 3*m - d, -3*m - h = -u + 2*m. Calculate the lowest common multiple of 10 and u.
70
Let u = -45271/45 - -3017/3. What is the common denominator of u and -8/75?
225
Let x = 36773/9 - 4094. Calculate the common denominator of x and -71/138.
414
Let z = -1135 - -20435/18. Calculate the common denominator of -3 + 1 + 321/(-6) + 7 and z.
18
Calculate the common denominator of (-5)/(-18)*57/(-76) and (-4)/132*(1 - -1 - 52).
264
Let w be -4*((-42)/(-4) + -3). Find the common denominator of 137/6 and 6/w + (-61)/70.
42
Let s(v) = v**2 + 2*v + 1. Let l be s(-3). Suppose l*q = 3*q - 2. Calculate the smallest common multiple of 6*(1/(-3) - q) and 3.
30
Let p(c) = 16*c**3 + 4*c**2 - c + 1. Let n be p(-3). Calculate the common denominator of ((-2)/(-4))/(8/n) and -51/2.
2
Let d = -8795 - -474959/54. What is the common denominator of 43/36 and d?
108
Suppose 9*t - 60 = -15. What is the least common multiple of 8 and (-1 + 1)/t - (0 - 4)?
8
Let q = 29 + -35. What is the lowest common multiple of 22 and (0 + q)*7/(-7)?
66
Let w(b) = -b**2 - 35*b - 144. Calculate the smallest common multiple of w(-28) and 26.
52
Let s(t) be the third derivative of 5*t**4/12 - 3*t**2. Let q be s(1). Let m = q + -4. Calculate the lowest common multiple of 12 and m.
12
Let k = 47550 + -159575. Let q = k + 884455/8. Let o = 1471 + q. Find the common denominator of 46/7 and o.
56
Let f = 371 - 261. What is the least common multiple of ((-5)/(-30))/(10/240) and f?
220
Let x be (2/(-2) + -4)/((-2)/2). Let l = x - -41. What is the least common multiple of l and 18?
414
Suppose -n + 4*n - 81 = 0. Suppose -n = -5*l - 7. What is the smallest common multiple of 24/7 - (-7 + 270/42) and l?
4
Let x = -1593124183/24 + 66365714. Let h = 14463 + x. Find the common denominator of -131/6 and h.
24
Let d be (-6)/(-3)*-1*-78. What is the common denominator of (4/(-84))/(8/d) and 69/10?
70
Let w = 793/12 - 137/2. Let n = -4213/6 + 685. Calculate the common denominator of n and w.
12
Let p = 44296/9 - 4917. Let q = -797 + 3787. Find the common denominator of -2 + (-168)/(-77) + q/132 and p.
18
Let r be ((-4)/(-2664))/((-3)/(-12)). Let n = 1889/333 - r. Find the common denominator of n and 4*(-3 - 15*(-1)/(-8)).
6
Calculate the lowest common multiple of 44 and -20*6/(6/(-1)).
220
Let s(p) be the first derivative of p**2 + 2*p + 12. What is the lowest common multiple of 5/(-3)*(-12)/1 and s(5)?
60
Let h be (-4)/63 - (-2)/9. Let y = 311666/95 + -156683039/47880. Let a = h - y. Calculate the common denominator of a and -29/18.
72
Let g be 2944/20 + (-1)/5. Calculate the common denominator of (3 - (-49)/(-16))*182 and g/14*7/(-15).
40
Find the common denominator of (-22)/(-77) - 38*(-4)/140 and -27/85.
595
Let j be (0 - -2) + 4 + -1. Let f be 8/40 - (-229)/j. Suppose 3*i - 2*r = -r + f, -3*r = -5*i + 82. What is the least common multiple of 2 and i?
14
Let t be (-161)/54 + -22 + 20. Let o = 5/27 - t. What is the common denominator of 29/18 and o?
18
Suppose -4*y + 65 = -39. Let o = y + -24. Let l = 14 - 9. Calculate the smallest common multiple of l and o.
10
What is the least common multiple of 100 and 6/(-30)*-59 - 3/(-15)?
300
Calculate the common denominator of 13/125 and (2 - 189/15)/(-2).
250
Let r = 2111/5 + -12091/30. What is the common denominator of r and (17 - 0)/(8/2)?
12
Let u(r) = r**3 + 24*r**2 + 117*r - 2. Calculate the lowest common multiple of 114 and u(-7).
228
Suppose -3*t + 39 = 5*c, c - 4*t - 16 = 1. Suppose 4*p - 3 = 2*m + c, 0 = 2*m - p - 3. What is the lowest common multiple of 8 and ((-14 - -2)/m)/(-1)?
24
Let k = -65 - -47. Suppose 2*l = 4, -u + 4*l - 2 = -4*u. Calculate the smallest common multiple of ((-24)/k)/(u/(-24)) and 8.
16
Suppose -2*p = -1 - 5. Suppose -s = -3, -p*m - 3*s = -0*m - 195. What is the least common multiple of m and 16?
496
Let v = -5951/95 + 11984683/191235. Let z = 2/61 + v. What is the common denominator of z and 77/6?
66
Let f(l) = -23*l**2 - 134*l + 31. Let k = 69 + -33. What is the lowest common multiple of k and f(-6)?
252
Let o = 4131/142 + -42/71. What is the common denominator of o and (2/(-25))/((-24)/390)?
10
Let z = -126 - -86. Calculate the common denominator of 43/2 and (6/(-9))