What is the common denominator of 1/20 and ((-3)/(-4072))/(31 - 50232/1632)?
10180
Let q(c) = -2*c + 4. Let w(x) = -2*x**2 + 99*x - 825. What is the least common multiple of q(-3) and w(11)?
110
Let w(t) = 213*t**3 - t**2 - 5*t + 6. What is the smallest common multiple of 497 and w(1)?
1491
Calculate the smallest common multiple of (-96)/(-6) + (-21 - -45) and 120.
120
Suppose 17*d - 217 + 13 = 0. What is the common denominator of (319/290)/(d/(-135)) and 2/(-24)*(-462)/16?
32
Let h = 81979 + -32791573/400. Find the common denominator of -31/1104 and h.
27600
Calculate the common denominator of (-190040)/(-145152) - (-522)/(-406) and 113/36.
2592
Suppose 38*l + 101*l - 1390 = 0. What is the least common multiple of l and 1/2 - 1/(-2)?
10
Let o = -101662 - -101670. Suppose 5*u = -621 - 2579. What is the lowest common multiple of u/(-14) + (-4)/(-14) and o?
184
Let z(t) = -t**2 - 44*t + 26. Let c be z(-14). Let i = 462 - c. Calculate the lowest common multiple of i and 16.
16
Let f(u) = u**3 + 6*u**2 + 5*u + 6. Suppose 0 = -16*d + 41*d - 3825. Let i = 154 - d. What is the smallest common multiple of i and f(-5)?
6
Let p be (((-7)/(-3))/7)/(1/(-9)). What is the least common multiple of (-444)/(-20) + 2/(-10) and ((-1518)/18)/(-11) + (-1)/p?
88
Let a be 5 + (-34)/6 - (-53)/3. Suppose -16*c + a*c = -2*g + 11, -2*g = -c - 21. Calculate the least common multiple of g and 2004/42 - (-4)/14.
48
Let r(a) = -4*a - 23. Let v be r(25). Calculate the smallest common multiple of 30 and 8 + (-10 - -9 - v).
390
Let j(v) = -v**3 - 34*v**2 + 1314 - 682 + 33*v - 657. What is the least common multiple of j(-35) and 11?
495
Let q = 18 + -29. Suppose -9*v + 4*v = -3*k + 11, 22 = k + 2*v. Calculate the smallest common multiple of k and (-46)/q - (-2)/(-11).
12
What is the least common multiple of 91 and ((-26728)/(-24) + 7 + 6)*24/10?
18928
What is the common denominator of 133/6 + 8 + (-1 - 12) and (-6)/(-27) - 2065/(-900)?
60
Let l = -5978 - -6632. What is the smallest common multiple of l and 1962?
1962
What is the common denominator of 6/9 + (-9)/(6336/(-55)) and 115/288?
576
Let u = 1701 + -1680. Calculate the lowest common multiple of 282 and u.
1974
Suppose 0 = -6*o + 9*o - 6*u + 3, 5*o + 5*u - 40 = 0. What is the lowest common multiple of 125 and o?
125
Suppose -2*r = 4, -r + 30985 = 3*w - 16656. Calculate the smallest common multiple of 3 and w.
47643
Let d(o) = -1440*o - 495. What is the smallest common multiple of d(-1) and 135?
945
Let p = 21313/2709 + -27/301. Let a = -31129/8 + 3883. Find the common denominator of p and a.
72
Let d(q) = 5*q**3 + 6*q - 9. Let o be d(2). Suppose 217 = 13*r - o. Let j(g) = 2*g**2 - 2*g + 6. Calculate the lowest common multiple of j(4) and r.
60
Let c(m) = -8*m + 2. Calculate the least common multiple of (-10)/105*12/2 + 231136/3472 and c(-2).
198
Suppose 7*i - 176 = -i. Suppose i - 214 = 2*l. Calculate the common denominator of (-1 + 1 - -1) + l/(-18) and 121/24.
24
Let v = 639426/156625 - 732/179. Find the common denominator of -119/6 and v.
5250
Let v be (666/72)/(1/8). Suppose 28 = m - s, -4*s + 24 + v = 3*m. What is the lowest common multiple of 30 and m?
30
Let l = -299987/46953894 + 5/14963. What is the common denominator of -14/5753 and l?
34518
Let w = 119 + -116. Suppose 2*l - 24 = -5*u, -u = w*l - 9 - 1. What is the least common multiple of 495 and l?
990
What is the lowest common multiple of 4788/35 + 102/1377 + 118/(-135) and 664?
11288
Let q = 6/5 + -56/45. What is the common denominator of q and -25/1038?
15570
Let q = -3604/7 + 517. Suppose -5*c = 4*j - 21, 0 = -5*j + 2*c + 7 + 11. What is the common denominator of q and (-4)/(-88)*j - 5784/1320?
35
Let i = -125664 - -45992983/366. Find the common denominator of i and 68/183.
366
Find the common denominator of 795/(-189)*((-228)/(-230) - 1) and -71/207.
1449
Let p(x) = 2*x**2 + 238*x - 2256. Let t be p(9). Suppose -2 = 2*s - 92. Suppose -3*d - s = -t. Calculate the smallest common multiple of d and 3.
3
Let n = 586 - -158. Calculate the smallest common multiple of n and 56.
5208
Let u(p) = 4*p - 2. Let w(f) = -3*f + 2. Let r(c) = 2*u(c) + 3*w(c). Suppose 12 = -n + 13. What is the lowest common multiple of 6 and r(n)?
6
Let k = -512023/144 + 3556. Find the common denominator of 19/1152 and k.
1152
Suppose 139 - 49 = -5*g. Suppose -d + 8 = 3*f, 0 = d - 0*d + 5*f - 16. Calculate the common denominator of d/g - 14/18 and 32/15.
45
Find the common denominator of 63/430 and (18/117 + 15870/(-27950))*2/12.
1290
Suppose 4*b + f = 19, -2*b - 4*f + 151 = 159. Let m(u) = -5*u + 2. What is the lowest common multiple of b and m(-2)?
12
Let i = -1506 - -2955/2. What is the common denominator of (0 - 210/(-88)) + 5/20 and i?
22
Let u(c) = 7*c**2 + 448*c - 327. What is the lowest common multiple of u(-67) and 702?
14040
Let w(x) = -x**2 - 9*x + 9. Calculate the lowest common multiple of w(-9) and ((-99)/12)/((-2629)/8604).
27
Let p(c) = 7*c + 75. Let j be p(0). Suppose 19*r - 343 = j. Calculate the smallest common multiple of 18 - -1 - (-2 - -3) and r.
198
Let j be ((3 + -1)*-9)/((-3)/2). Suppose 6*i - 12*i + j = 0. Suppose -2*g = i*c - 22, -2*c + c - 5 = -3*g. Calculate the lowest common multiple of c and 8.
56
Find the common denominator of 7 + 560/(-77) - (-2348)/(-67848)*-7 and 155/204.
52428
Let h(a) = -3*a**3 + 14*a**2 - 6*a + 4. Let f(m) = 7*m**3 - 29*m**2 + 13*m - 7. Let r(n) = -2*f(n) - 5*h(n). What is the least common multiple of 12 and r(12)?
84
Calculate the lowest common multiple of 72 and (-1404)/78*(-111)/9.
2664
Let d be (-1039)/(-3)*(-475295)/(-6). Let f = d - 27422416. Let l = f - 12660. Find the common denominator of -53/10 and l.
90
Suppose 0 = 6*k - k - 60. Let t = 1622/7 - 24358/105. Calculate the common denominator of t and (724/10)/(k/1).
30
Let g(k) = -k**3 + 5*k**2 + 8*k + 3. Calculate the lowest common multiple of (-184)/(-6) - (-609)/261 and g(4).
561
Suppose 33*d + 11562 = 27673 + 68237. What is the lowest common multiple of d and 68?
43452
Let u = -11063677/270 - -40977. What is the common denominator of u and -113/180?
540
Let k be (-2)/4 + 1/2. Suppose -3*w - f = -4*f - 54, k = -3*w - 4*f + 54. What is the least common multiple of 36/(-14)*266/(-57) and w?
36
Let o(s) = 9*s**2 - 2*s - 10. Let h be o(-2). Suppose -h*f + 29*f = -44. Calculate the smallest common multiple of f and 76.
836
Suppose 5*z - 10 = 0, 0*j - 2*z = 2*j - 180. What is the common denominator of 17945/(-333)*(-6)/(-40) + 3/(-3) and j/18 - 1 - -1?
36
Let a = -6483 - -64937/10. Find the common denominator of a and -10*(3/(-12))/(-1).
10
Let c be ((-957)/(-308))/(8/(-7)). Let n = 1/32 + c. Find the common denominator of n and (1 - 99/90)*64.
80
Let j(b) = 2*b - 76. Let q be j(13). What is the common denominator of -91/304 and (-250)/q*(-7)/22?
3344
Let g = -62 + 106. Suppose -v = -f + 31 + 13, 2*v = -4*f + 152. What is the lowest common multiple of g and f?
440
Let h = -138/35 + -69/70. Suppose 7*j + 4*j = -3168. Calculate the common denominator of h and (-70)/(-315) + 1486/j.
112
Suppose -14146*p + 14122*p = -480. Let r be 4/(3*(-6)/(-9)). Suppose 2*u + s = 280, 0*s - r*s - 560 = -4*u. Calculate the least common multiple of p and u.
140
What is the common denominator of 2 - 49848/(-23584)*(-1)/(336/314) and -1/144?
22176
Let a(t) = -t**3 - 4*t**2 + 12*t + 9. Suppose -90 = 2*g - 3*g. What is the lowest common multiple of g and a(-6)?
90
Find the common denominator of -1/8 and ((-413)/84)/(-3 - (-50)/(-6)).
136
Suppose 632*o - 1640 - 10783 = 217. What is the smallest common multiple of 2440 and o?
2440
Suppose 89010*i - 89001*i = 1683. Calculate the least common multiple of 12 and i.
2244
Calculate the common denominator of ((-10)/(-55) - 5919/2970) + 3 and -73/130.
1170
Let a be -7 + (-757 - (7 - 12)). Let q = 787 + a. What is the least common multiple of q and 16?
112
Suppose -3*o + 62 + 46 = 0. Suppose -o*h + 44 = -32*h. Let b = -198 - -209. Calculate the smallest common multiple of h and b.
11
Suppose 4*h = -h + 410. Let n be 1/(-6*(-9)/(-9342)). What is the least common multiple of 178 + n - (-6 + 0) and h?
902
Calculate the common denominator of 58/315 and (-4)/3 - (5058/(-405) + 10).
315
Let d = 55 + -34. Suppose 1188 = 41*c + 91*c. What is the smallest common multip