8
What is the common denominator of 2/28 - (-495)/(-77) and 15/28?
28
Let o(h) = 45*h**2 - 2*h. Let f be o(1). Let q = 48 - f. Calculate the smallest common multiple of q and 10.
10
Let n = 244 + -428. Let m(r) = 16*r - 36. Let x be m(3). What is the common denominator of n/(-18)*6/x and 39?
9
Let c = -251 + 266. What is the lowest common multiple of 120 and c?
120
Let t = 304162/45801 + -39/727. Let b = -62/63 - t. Find the common denominator of b and -71/3.
21
Let h(t) = 9*t + 125. What is the lowest common multiple of 4 and h(23)?
332
Suppose 6*r + 2891 = 3803. Calculate the lowest common multiple of r and 42.
3192
Let s = 4235 + -16849/4. Suppose -5*k - 199 = 86. Find the common denominator of s and (-1)/(-5) + k/(-240).
16
What is the common denominator of -29/63 and 381/(-378)*-3 - (-14)/(-7)?
126
What is the common denominator of -39/58 and ((-4)/6)/((-46)/(-45) + -2)?
638
Calculate the common denominator of -101/236 and ((-582)/3)/(1/1 - 9).
236
Let b be 6/(-1028)*4/1509. Let r = 851508083/387813 + b. Let y = -2177 + r. Calculate the common denominator of -29/3 and y.
3
Let g = 193 - 2121/11. Calculate the common denominator of g and (-6)/8 + (21 - 0).
44
Let i = 18 - 14. Suppose -2*j - c = -29, 4*c = 3*j - i*j + 11. Calculate the common denominator of (-200)/j + 6/8 and -69/2.
12
Suppose 4*y = 6*y + 70. Calculate the lowest common multiple of (y/15)/((-4)/12) and 10.
70
Let y(f) = f**3 + 6*f**2 - f - 6. Let t be y(-5). Let a = t - 10. Suppose 3*i - i = a. Calculate the lowest common multiple of i and 4.
28
Let h = -43/148 + -9121/444. What is the common denominator of (0 - -3)*30/(-140) and h?
42
Find the common denominator of (-10)/25 + (-766)/560 and 43/56.
56
Let v = -617/72 - -70/9. What is the common denominator of v and -35/16?
48
Suppose -4*b + 2*u + 246 = 0, -u = -0*b + b - 66. Find the common denominator of (-4870)/100 - (-8)/(-10) and 4/(-14) - (-389)/b.
18
Let a = -5 + 13. What is the least common multiple of (1 - -1)/((-9)/(-18)) and 10/a - (-18)/24?
4
Calculate the common denominator of 59/14 and 43/1376*(-10)/(-4)*-17.
448
Let i(q) = -2*q - 3*q**2 + 14 + q**3 - 5*q + 0*q. Let p be i(6). Suppose -20 + p = 3*t. What is the least common multiple of 22 and t?
220
Let i = -60179373/340 - -176998. What is the common denominator of -39/25 and i?
1700
Suppose 24*y - 588 = -4*y. Calculate the least common multiple of y and 3.
21
Let x be (-1)/4 + (-196)/(-16) + -4. Calculate the common denominator of (23/(-4))/(8/6) and (x - 9) + 146/(-28).
112
Suppose 0 = -2*w + 16 - 0. Suppose -w = -2*q + 3*g, -5*q + 4 = -4*q - 2*g. Calculate the smallest common multiple of q and 4.
4
Let i(r) = -r**3 + 4*r**2 + 6*r + 3. Let t be i(5). What is the common denominator of t/(-20) + 79/260 and -31/16?
208
Suppose 0 = 3*k - 3*i - 42, 10*i = 2*k + 6*i - 24. What is the smallest common multiple of k and 64?
64
Suppose -5*c = -2*b + 4 + 12, 2*b = 2*c + 28. Let s = b + -16. What is the lowest common multiple of 2 and s?
2
Let j = -55 - -60. Let h = j + 1. Calculate the lowest common multiple of h and 4.
12
Suppose 3*n + 2*u + 189 = 0, 2*n = -2*u - 69 - 57. Calculate the common denominator of 1/(-4)*262/(-3) and 5*(-1 - n/12).
12
What is the common denominator of 131/(-14)*10/(-30) and -89/14?
42
Let p = 392 + -232. Let o = p - 792/5. Calculate the common denominator of 37/4 and o.
20
Let y be 1/((-1)/(-4)) + 2. What is the common denominator of -39/14 and (y/(-36))/(30/369)?
140
Let a(g) = g**3 + 5*g**2 - 7*g. Let x be a(-6). Let d(k) = -k**3 + 7*k**2 - 5*k. Calculate the least common multiple of 2*-2 - (-1 - 17) and d(x).
42
Suppose -7 + 2 = -3*q - w, -3*q + w = -13. What is the common denominator of -67/8 and 476/176 + q/(-4)?
88
Suppose 439 - 331 = 2*s. What is the lowest common multiple of s and 9?
54
Suppose 12 = -40*k + 46*k. Calculate the least common multiple of 52 and k.
52
Let a be (2/(-16)*-4)/(2/60). Suppose -a + 5 = -z. What is the smallest common multiple of 8 and z?
40
Let b(s) = -14*s. Let a be b(-1). Suppose -a + 2 = 3*r. What is the common denominator of 5/8 and (r/16)/(3/(-13))?
24
Let i = -2/162931 + -13523133/11405170. What is the common denominator of i and -103/14?
70
Let o = 66 + -61. Suppose -i - 2*i + h = -2, -o*h + 30 = 5*i. Suppose 0*p = -2*p + 20. What is the least common multiple of p and i?
10
Let q = 349247/48 + -7277. Let b = 4160 + -87355/21. Find the common denominator of b and q.
336
Suppose 0 = 3*g - 5*x - 153, g = 4*x + 10 + 34. Let b = 33 + -56. Calculate the common denominator of b and (-3*(g/6 + -2))/9.
9
Suppose 10*p - 16 - 184 = 0. What is the lowest common multiple of p and 144?
720
Let d(u) = -u**3 + 6*u**2 + u - 6. Let i be d(6). Calculate the least common multiple of 16 and -2 - (-2 + i - (1 + 1)).
16
Let o(n) = -n**2 - 19*n + 48. What is the least common multiple of o(-20) and 20?
140
Let m be (-20044)/(-20) - (-3 - 48/(-15)). Let k = m + -8037/8. What is the common denominator of k and 43/12?
24
Let r(t) = 5*t**2 - 12. Let f(x) = 9*x**2 + x - 24. Let q(a) = 6*f(a) - 11*r(a). Let k be q(6). What is the common denominator of 99/10 and ((-2)/k)/(5/455)?
30
Let y = -27 - -42. Calculate the lowest common multiple of 9*25/y - 3 and 11.
132
Suppose 5*p - 3*p + x - 24 = 0, 0 = 5*x - 10. What is the lowest common multiple of ((-16)/6 - -2)*-6 and p?
44
Let x = 5296 + -63511/12. Suppose -r = -w + 931, -2*w + 0*w + r = -1867. Let k = w + -3695/4. Calculate the common denominator of x and k.
12
Let p be (-6)/(-30) + (-1 - (-5448)/10). What is the least common multiple of (-6)/30 + p/20 and 24?
216
Let c = 195861/28390 - -3/2839. Find the common denominator of 9/64 and c.
320
Suppose -3*t = 2*a + 2*a - 86, -2*t + 5*a + 65 = 0. What is the lowest common multiple of t and 105?
210
Let w = 11 - 8. Suppose 0*i = -w*i + 36. Suppose 4*j - 3*j = -3*o + 3, 4*j - 25 = o. What is the lowest common multiple of i and j?
12
What is the smallest common multiple of (-32*14/(-28))/((-4)/(-54)) and 324?
648
Let a(i) = -3*i - 21. Let y be a(-5). Calculate the common denominator of y/(-10) + (-11032)/7420 and -48/7.
371
Suppose 0 = -4*d + 5*z - 14 - 11, -5*d = -5*z + 30. Let b = d - -2. Calculate the common denominator of -51/10 and (3/24)/(b/(-177)).
40
Suppose -2 = 2*o - 6. Suppose -3*r - o*r + 60 = 5*x, 4*x + 2*r - 48 = 0. Let w = -8 + x. Calculate the smallest common multiple of 5 and w.
20
Let n = -4361/2370 + 108/395. Let a = 13763/24 + -569. Calculate the common denominator of n and a.
120
Let l be (-3 - -4) + -5 + -1. Calculate the smallest common multiple of 22 and l*20/(-15)*(-3)/(-1).
220
Let a = 54 + -34. Suppose 3*n = n - 3*s - 12, 4*n - 5*s = a. Suppose n = 3*o + 3*x - 30, -2*x + 0 = 4. Calculate the smallest common multiple of 16 and o.
48
Find the common denominator of 35/27 and (-12)/(1 - -2) + (-434)/(-48).
216
Let h(d) = -d**2 - 21*d + 314. Let w(n) = n**2 - 4. Calculate the least common multiple of w(3) and h(-31).
20
Suppose 0 = 8*q + 4*q - 48. Suppose 2*v - 4 = -2*p, -3*v + q*p = -v - 10. Calculate the smallest common multiple of 1 and v.
3
Find the common denominator of 81/568 and (-2)/(28/(-92)*4).
3976
Suppose -5*r - 44 = -3*u, 4*r + 11 = 2*u - 19. What is the lowest common multiple of 7 and u?
91
Calculate the lowest common multiple of 42 and 6/9 - 1162/(-21).
168
Calculate the lowest common multiple of ((-1764)/(-210))/(2/5) and 9.
63
Suppose 5*h = 2*a - 6*a + 9522, 4*a - 9520 = -4*h. Let d be (a/(-12))/(15/605). Let z = 8001 + d. What is the common denominator of z and -23/12?
36
Let j = -194861249493 + 53966433324650051/276948. Let r = -19/1413 - j. Let y = 1507/196 - r. What is the common denominator of -67/22 and y?
154
Suppose -151 = -19*l + 77. Calculate the smallest common multiple of 60 and l.
60
Suppose 3*h - 5*l = 79, -1 = 4*l + 19. Let d be 2/(-5) - (-18)/(-5). What is the least common multiple of h and (-13)/(-2) + 2/d?
18
Suppose 9*b + 24 - 168 = 0. What is the lowest common multiple of b and 128?
128
Suppose 220 = 5*h + 80. Let n be (-4)/7*h/(-8). Let b = 4 + n. What is the lowest common multiple of b and 4?
12
Calculate the smallest common multiple of 9/(-6)*(-2)/(-3) - -25 and 3.
24
Let g = 45 + -65. Let t = -2 - g. Suppose -3*w - 3*h = -h - 8, 4*w + 4*h = 8. What is the lowest common mult