0
Let v = -179/56 - -1/14. Calculate the common denominator of -25/14 and v.
56
Let d = -11699/21855 - 38/465. Find the common denominator of 23 and d.
47
Let h = 52270 + -15785513/302. Let j = h - 10837/453. Calculate the common denominator of 39/8 and j.
24
Let b(y) = -y**3 + 3*y**2 - 1. Let k(i) = -3*i - 15. Let a be k(-20). Let t = a + -39. What is the lowest common multiple of t and b(1)?
6
Suppose 217 + 63 = 20*v. Suppose -2*w = 5*s + 2*w - 25, 5*w = -2*s + 10. Calculate the lowest common multiple of s and v.
70
Find the common denominator of (-294)/4*2/(-24) and ((-195)/648)/(-1) + (-18)/48.
216
Let s(l) = -44*l + 97. What is the lowest common multiple of 1431 and s(2)?
1431
Let w = -819313/16680 - -3970/139. Let f = w + 44/15. Let p = -5 - f. Find the common denominator of -11/6 and p.
24
Suppose 0*b + z = 3*b - 10, 5*b + 2*z - 2 = 0. Let h be 3/(-4)*1 + (-14806)/88. Let f = 174 + h. What is the least common multiple of b and f?
10
Let f = -52567/21 - -2504. Calculate the common denominator of 25/69 and f.
483
Let q = 241/36 - -17/12. Let c(v) = v**3 + 9*v**2 + 9*v + 4. Let k be c(-8). Calculate the common denominator of q and (-83)/(-9)*3 + k.
9
Suppose m + 26 = -4*m + 2*c, 4*m - c = -19. Let w = -22 + 36. What is the lowest common multiple of w and ((-33)/6)/(m/16)?
154
Let b = 33362/2985 + 14/597. What is the common denominator of b and 23/55?
55
Suppose 6 = -2*z + 48. Let h(f) = -f**3 + 11*f**2 + 15*f - 3. What is the smallest common multiple of z and h(12)?
231
What is the common denominator of -6*38/112 + 36/9 and 0 + ((-75)/(-110) - 3)?
308
Let q = -107 - -76. Let j = 559/18 + q. What is the common denominator of j and 31/(-12) - 2 - (-74)/(-444)?
36
Suppose 3*g + 24912 = 3*y, 0*g - 24898 = 3*g + 4*y. Let n = g - -74642/9. Calculate the common denominator of n and (4/(-20))/((-8)/(-630)).
36
Let m(r) = 2*r - 84. What is the lowest common multiple of m(43) and 69?
138
Let n be 21/14 + 570183/6. Let a be n/(-39655) - (-2)/5. Let d = -9/103 - a. Find the common denominator of d and 21/8.
88
Let h(g) = g + 44. Calculate the smallest common multiple of 48 and h(4).
48
Let n = 45 + -23. Suppose 3*d = 19*l - 24*l + 210, l = 5*d - 350. Calculate the smallest common multiple of d and n.
770
Let r(j) = 23*j**2 - 7*j - 5. What is the smallest common multiple of 160 and r(-1)?
800
Let f = 30 - 32. Let t = -10 + f. What is the least common multiple of (-40)/t*(-3)/(-2) and 3?
15
Let u(j) = j - 4. Let q be u(-2). Find the common denominator of 65/(-9) - (2 + -1) and (50/q)/(-1 + -1).
18
Let w(v) = -38*v - 188. What is the least common multiple of 260 and w(-5)?
260
Let y = -2545127/22 - -115656. Let u = y + 301/11. Calculate the common denominator of u and (-192)/112*1/(-10)*30.
154
Suppose -4*q - 4*l - 139 = 301, 4*q = -2*l - 444. Find the common denominator of q/25*2/(-8) and -11/3.
75
Calculate the common denominator of 747/324 - 1/(6 - 2) and 4/(-18) - 1564/(-72).
18
Suppose 0 = 4*w - 16, -78*q - 4*w = -80*q + 10. Suppose -2*p - p + 12 = 0. What is the least common multiple of q and p?
52
Let m = -32 + 50. Let g be ((-3)/(-2))/(m/(-36)). Find the common denominator of -32 and g - (2 - (-358)/(-28)).
14
Let i = -102 - -102. Suppose i = 3*t + 6*t - 252. Calculate the smallest common multiple of t and 6.
84
Let h be (-4)/(-2 + 10)*50. Find the common denominator of 3/h*(-840)/49 and 48/25.
175
What is the common denominator of (-2)/5 + 3437/(-420) and -35/54?
108
Suppose 5*p = -21 + 1081. Calculate the common denominator of p/16 - 3/(-12) and -71/9.
18
Let t = -100/647 + 94921/15528. Calculate the common denominator of 91/54 and t.
216
What is the common denominator of 13/153 and (120/32 + 6)*16/102?
153
Let s(c) = c**2 - 8*c - 3. Let n(p) = p**2 - 7*p - 4. Let v(z) = 6*n(z) - 5*s(z). Find the common denominator of -95/6 and v(8).
6
Let s = -1/2 - -2. Let j be -4 + 42/9 - 60/9. What is the common denominator of (0 - (-68 + 6))/(16/j) and s?
4
Calculate the common denominator of 58/16 + (-2 - -4) and ((-61)/(-244))/(4/(-180)).
8
Let w = 446/31 + -6737/186. Calculate the common denominator of -32/67 and w.
402
Let q(g) = -g**2 - 2*g - 1. Let x be q(-1). Suppose x = l - 5*l + 8. What is the smallest common multiple of 11 and (-5)/(-10)*20/l?
55
Suppose 0 = 2*c - 21*c + 57. Calculate the lowest common multiple of c and 1.
3
Find the common denominator of (-1)/180*159*-3 and 16/55.
220
Find the common denominator of (-30)/(-20)*(-1125)/162 and 1/30.
60
Let a = -2312 - -16238/7. Let i = -3003/16 - 12973/16. Let v = i - -1024. What is the common denominator of v and a?
14
Find the common denominator of -54/25 and -18 - -22 - (-4405)/(-900).
900
Let g(y) = y**2 + 2*y - 17. Suppose 19*k - 8 = 20*k. What is the least common multiple of g(k) and 1?
31
Let i = 14 + -8. Let f be 81/18*8/i. What is the common denominator of (6/20)/(f/142) and -15/4?
20
Let r = -20464369/469 - -43634. Let v = r - -59977/8442. Let x = -14997 - -209861/14. Calculate the common denominator of x and v.
126
Let d(r) = 0*r - 2*r + 3*r - 4 + 13. Let l be d(-6). Suppose l*u = 13 + 35. What is the lowest common multiple of 22 and u?
176
Let c = -12062/5 - -2403. What is the common denominator of 42/89 and c?
445
Let a = -59 + 62. Suppose -4*w + 305 = -3*o - 34, 0 = -4*w - 3*o + 309. What is the least common multiple of a and w?
81
Let x(o) = -137*o - 1. Let u be x(-1). Suppose -5*v + 4*j = -u, -3*v + 0*v - 2*j + 86 = 0. Calculate the least common multiple of 36 and v.
252
Let w = 860033/88 - 9773. What is the common denominator of -93/10 and w?
440
Find the common denominator of (-9)/(-351)*24/(-14) and 57/2.
182
Suppose -66*r = -71*r + 300. Calculate the common denominator of (-6)/8 + 621/r and -17/10.
10
Suppose -2*p - 3*p + 2470 = 0. Let h = -196 + p. Suppose -5*j + h = 103. What is the common denominator of -39/4 and j?
4
Let t = -295 - -319. What is the smallest common multiple of 16 and t?
48
Suppose 0*c + 14 = c. Let w be 11/(-22)*(428 + 0). Let q = w + 1506/7. Find the common denominator of q and c.
7
Suppose 4*s + 2*s - 36 = 0. Calculate the common denominator of ((-4)/s)/(520/(-2613)) and -69/16.
80
Let z be ((-21)/(-2))/((-3)/60*2). Find the common denominator of 2/8 - 85/z*3 and 79/8.
56
Let m(r) = -2*r**2 + r - 55. Let b be m(0). Let z be 5401/b + (-2)/(-10). What is the common denominator of 9/8 and z/(-3)*(-6)/(-64)?
16
Let u = -4/879 + -46571/3516. Let l = 3/20 - -347/20. Calculate the common denominator of l and u.
4
Let y be (-2622)/(-117)*(-56)/64. Let z = 11/78 - y. What is the common denominator of z and -7/12?
12
Suppose 5*c + 5*n - 85 = 0, -3*c + 5*n - 19 + 110 = 0. Calculate the lowest common multiple of 66 and c.
66
Let x = 24/545 - 49787/4360. Suppose 474 = -2*m - 266. Let f = m - -2607/7. Find the common denominator of f and x.
56
Suppose -15*u + 10*u + 55 = 0. Suppose 2*n - 27 = t, -3*t = -3*n + 22 + u. Calculate the least common multiple of n and 10.
80
Let r = -12133 + 546022/45. What is the common denominator of r and 47/261?
1305
Let r be (90/8)/((-12)/(-64)). Calculate the common denominator of ((-108)/r)/((-4)/(-5)) and -39/20.
20
Let p = 3/1975 + -10677/7900. Find the common denominator of 13/180 and p.
180
Suppose -4*q - 2*f - 18 = 0, -1 = 3*q - 2*f + f. Suppose -6*a + 4*a + 4 = 0. Calculate the least common multiple of q/5 - (-47)/5 and a.
18
Let q = 82/1735 - 527152/11227185. Let i = q + 31634/6471. Find the common denominator of i and -12/11.
99
Suppose -4 = 4*p - 20. Suppose 0*h + p = -4*a + 4*h, 2*h + 5 = -5*a. Calculate the common denominator of -2*(a - 34/3) and 95/2.
6
Let r be (-1)/((8 + -4)/12). Find the common denominator of (-335)/(-10)*2/(-4) and (-130)/(-36) + (-2)/r.
36
Suppose 0 = 3*f - 0*i + 3*i + 63, 27 = -2*f + i. Let y(p) = 2*p + 8. Let v be y(-6). What is the least common multiple of 22 and (f/5)/(v/10)?
88
Calculate the common denominator of 73/16 and 1/(-16)*(-51 - 32).
16
Suppose -4*q + 82 = -62. Let k be q/45*(-5 - 0). What is the smallest common multiple of 10 and (-1)/k + (-93)/(-12)?
40
Suppose 0 = -2*i + 153 + 141. What is the least common multiple of i and 33?
1617
Let k = 2/519 - 4679/2076. Let z = 2/799 - -32739/7990. Find the common denominator of z and k.
20
Let h = -35474 - -355147/10. Let t = 167/5 - h. Le