Let y = -61 - -60. Let v = 19669/16 + -1230. Calculate the common denominator of ((-8)/(-10))/y + (-892)/(-440) and v.
176
Calculate the common denominator of (216/7734)/(-76 - -74) and 23/11.
14179
Let i(f) = f**3 + 6*f**2 - 20*f - 27. Let q be i(-8). Find the common denominator of (q - 34/6)/((-462)/261) and 75/56.
616
Suppose 5*r + 5*w = 30, 0 = -2*r - 468*w + 465*w + 10. Calculate the smallest common multiple of r and 176.
176
Let g be 3*(-2 + 4)*2/11588. Let f = g - 87141/223069. What is the common denominator of 33/49 and f?
539
Suppose 3*y = -3*l + y - 220, 0 = 3*l - y + 214. Calculate the common denominator of (-1)/(-3) - (-14 + -9) and 6/(-9) - l/135.
15
Let n(k) = 2*k - 12. Let v be n(9). Let r(u) = -5*u**2 + 37*u - 2. What is the smallest common multiple of r(v) and 60?
120
Suppose -10655 + 43968 = 5*t + 2*u, -3*u = -3*t + 19971. Let r = -86634/13 + t. What is the common denominator of r and -2 + ((-308)/16 - 0)?
52
Let v = -8405/4 + 2116. Let h = 58567047/22130 + -1/11065. Let z = -2596 + h. Find the common denominator of z and v.
4
Let h(q) = -4 - 13 - 28 + 7*q - 25*q. Calculate the least common multiple of h(-3) and 24.
72
Let b = 125 + -214. Let g(d) = 8*d**2 - 18*d + 93. Let q be g(0). Let c = q + b. What is the smallest common multiple of 4 and c?
4
Let r = 20334267/266 - 76445. Let h = 527/2 - 975/4. Find the common denominator of r and h.
532
Let t be (-12)/15 - (-378)/10. Suppose g - 17 = -c, -9*c + 5*g = -10*c + t. What is the smallest common multiple of c and 572?
1716
Let h(f) = f**3 + 18*f**2 - 24*f - 369. What is the lowest common multiple of h(-9) and 576?
576
Let r = -548 - -602. What is the least common multiple of 558 and r?
1674
What is the lowest common multiple of 0 + 2744 + 20/15 + (-84)/(-18) and 100?
5500
Suppose -u + 3*d = -9 - 12, -4*d = 20. Let p = 5788/15 - 386. Find the common denominator of p and (28/189)/(u/(-144)).
45
Let x be ((-21)/(-14))/((-3)/6). Let j be (-1 + 0)*2/((-6)/x). Find the common denominator of -67/130 and (j - (-332)/(-88)) + 1.
1430
Find the common denominator of -21/115 and (408/85 + -5)/(-1 - 47/(-37)).
1150
Suppose -q + 5*l + 120 = 0, 4*q - 154*l + 150*l = 528. What is the lowest common multiple of 6 and q?
270
Suppose -18*b - 44*b + 620 = 0. Let g be 36/10 - (-4)/10. Suppose 18 = 2*q - t, -g*q + 6*t = t - 24. What is the least common multiple of q and b?
110
Suppose -3*z + n = -277, -36*n + 40*n + 356 = 4*z. Calculate the lowest common multiple of 188 and z.
188
Find the common denominator of -16/461 and (2 - -2)*75/(-900).
1383
Suppose 107 + 1752 = 13*h. Suppose -2*l + h = 43. Calculate the lowest common multiple of l and 4.
100
Let i = 2/139 - -2897/1529. Let r(d) = -18*d**2 - 7*d. Let q be r(-8). Let v = 2241/2 + q. What is the common denominator of v and i?
22
Suppose -6 = 13*o - 11*o. Let z be (-136)/(o - ((1 - 1) + -4)). What is the common denominator of (81/5)/(z/(-10)) and -19/7?
476
Let v = -69 - -55. What is the common denominator of v/(-2) + 160116/(-20592) and -179/120?
1560
Let w(q) = q**2 + 33*q + 14. Let r be w(-33). Calculate the common denominator of 13/7 and (-1 - (-18)/r) + (-88)/198.
63
Let k(r) = 2*r**3 - 5*r**2 - 4*r + 8. Let a be k(3). Suppose 44 - 114 = -a*g. What is the smallest common multiple of g and 7?
14
Let k(x) = x**3 + x**2 - 8*x - 2463. Let y be k(0). Let j = -27066/11 - y. What is the common denominator of j and ((-14)/(-10))/(26/45)?
286
Let u(m) be the second derivative of -m**4/12 - m**3 + 2*m**2 - m - 41. What is the least common multiple of u(-5) and 5?
45
Let j = -2/135 - -292/1485. Let i = 31 - 42. Calculate the common denominator of (-1)/i*(-48 + 7) and j.
11
Suppose -4*c = 4*d - 20, -5*d + 33 = c + 12. Suppose -432 = -d*u - 132. What is the lowest common multiple of 9 and u?
225
Suppose -6*g + 10 = -g. Let a(j) = j**2 + 3*j - 1. Suppose 0 = -10*y - 261 + 351. Calculate the lowest common multiple of y and a(g).
9
Let m(s) = 2*s**2 - 52*s + 50. Let q be m(25). Suppose 7*y - 5*y - 2*g - 76 = q, -y + 28 = 4*g. What is the least common multiple of y and 24?
72
Let c = -12084 + 773377/64. Calculate the common denominator of c and 107/264.
2112
What is the common denominator of -39/1793 and (19/(-114))/((-4)/14 - (-5225)/15225)?
17930
Let b = 39154 + -9122843/233. Let d = b + 20423/4660. Calculate the common denominator of d and -79/262.
2620
What is the common denominator of -79/48 and 71437/3756 - (144 + -125)?
15024
Let y = 924 + -16625/18. Find the common denominator of 57/1496 and y.
13464
Let k = 3450 - 3285. Calculate the least common multiple of 12 and k.
660
Let d(t) = 42*t - 333. Calculate the smallest common multiple of d(8) and 807.
807
Calculate the least common multiple of 7 - (5 + -5 + -777) and 28.
784
Let c(x) = 11*x**3 - 8*x**2 - 2. Calculate the lowest common multiple of 88 and c(1).
88
Suppose 7*h = 2*h + 4*t + 27, 0 = -h + 5*t - 3. What is the common denominator of (-478)/(-112) + (2 - h) and -61/8?
56
Let n = 2090/43 + -407773/8256. Calculate the common denominator of (-10)/1*4/75 and n.
960
Let l be 579363253/4843 + (-1 - -5). Let k = -119633 + l. Let f = -586183/145290 + k. What is the common denominator of f and -77/6?
30
Let s = -2058 - -2079. Calculate the smallest common multiple of 24 and s.
168
Let o = -13024 + 364729/28. Let c = 2210 + -35345/16. Calculate the common denominator of c and o.
112
Let b be ((-96)/(-3) - -4) + -1. Let a be (-2)/(-7) + (1 - (-1250)/b). Suppose 3*m - 83 = a. Calculate the least common multiple of m and 8.
40
Let l(s) = 2*s**2 + 54*s - 738. Calculate the least common multiple of 70 and l(11).
490
Calculate the common denominator of 44/381 and 266/462 - 14 - -14.
4191
Let f(o) = 65*o**2 + 2982*o - 48. Calculate the smallest common multiple of f(-46) and 256.
1280
Suppose 4*n - 48 = -3*c + 65, 3*n - 111 = 3*c. Let f be 7/21 - 80/(-3). What is the smallest common multiple of n and f/9 + -7 - -5*4?
32
Let b = -254/569 - -79089/63728. Let p be 188/(-12) - (44/(-12) + 3). What is the common denominator of (-2975)/60*(24/p + 2) and b?
336
Let b = -18 - -22. Suppose 2*m + 3 = -b*k + 7, -3*m + k - 8 = 0. Calculate the common denominator of -49/18 and (-378)/12*m/8.
72
Let y(h) = 2*h**3 - 9*h**2 - 20. Let m be y(6). Let j = m - 0. What is the smallest common multiple of j and 11?
88
Let u = 44506 - 21229352/477. What is the common denominator of -85/6 and u?
954
Suppose -2*g + 22 = -2*l, -4*g + 17*l + 28 = 21*l. Suppose 82 = g*d - 98. Calculate the smallest common multiple of 8 and d.
40
Let l be 1*118383/6732 - (-2)/12. Let z = 3977489/561 + -7090. Let g = l + z. What is the common denominator of 13/10 and g?
20
Let s = 2622184321/1782067 + -3/254581. Let t = s - 1475. Find the common denominator of -4/11 and t.
77
Suppose 7*x - 2 = 12. Calculate the lowest common multiple of 10 and (-8)/12 + (x - 22/(-6)).
10
Let y = 29027/6 - 4824. Let h = 70411 + -8942248/127. What is the common denominator of y and h?
762
Let o = -14 + 21. Suppose 2*l = 3*l - 106. Let h = l - 70. What is the lowest common multiple of o and h?
252
Let y be (3/2)/((-78)/(-208)). Calculate the common denominator of -79/63 and (-1)/y + (-2739)/(-3960).
2520
What is the common denominator of (-10)/(-90)*8/((-320)/572) and 23/90?
90
Let d = -39021/8 + 4876. What is the common denominator of -18/2189 and d?
17512
Suppose 4*n + 25 = 3*k, -k - 10 = -39*n + 34*n. What is the least common multiple of k and 1290?
1290
Find the common denominator of -16 + (-136)/(-8) + -1 + 37/2774 and -87/76.
5548
Suppose -m = 3*o - 46 - 0, 2*m - 82 = -o. What is the smallest common multiple of m and 1970?
7880
Let a be 19/53*((-74326)/(-244030) + 0). Let f = a + 6/24403. What is the common denominator of 119/10 and f?
530
Let t = 17711/4 - 4439. Calculate the common denominator of t and 38/99.
396
Let u = -53 + 68. Suppose 0 = 14*m + u - 85. What is the smallest common multiple of m and 5?
5
Let i(p) = 16*p**2 + 6*p + 6. Suppose -5*v = 5*h - 5, -4*h + 0*h = -4*v - 12. Suppose 0 = -l + 4*l - 30. Calculate the lowest common multiple of l and i(v).
80
Let n = -14695 - -14726. Let o be (4/6)/(2/108). Find the common denominator of n/12 + (-27)/o and -35/76.
228
Find the common denominator of (1/(-12))/((-70)/15260) and 87/764.
2292
Suppose -5*s + i = 