Suppose -i*q + 88 = 3*q. Calculate the least common multiple of q and 1.
11
Suppose 12 = 7*r - 5*r. Find the common denominator of (-278)/120 - ((-64)/10 + r) and 43/6.
12
Let r be 4 + (-8135)/12015 + -1. Let a = -154/89 + r. Calculate the common denominator of a and 1/42.
378
What is the common denominator of -53/22 and (-2782)/712 + (-8)/16*-8?
3916
Let d = -33 - -364/11. What is the common denominator of -99/82 and d?
902
Let x be (-7 - (-64)/12)/((-1)/(-6)). What is the least common multiple of 2 and 2/x + -41*3/(-15)?
8
Let l = -14007 - -1568733/112. Find the common denominator of l and 97/64.
448
Calculate the common denominator of -41/534 and 1/2 + (-890)/80.
2136
Let h be ((-6)/(-10))/(11/440). Suppose 0 = 21*d - h*d + 60. Suppose 12 = -3*a, 5*a = p + 3 - 41. Calculate the least common multiple of d and p.
180
Let l = 16 + -14. Let x be -4 + l - 0/(-2). Calculate the smallest common multiple of 9 and x/(-3) + (-112)/(-12).
90
Let g(h) = h**3 - 3*h**2 + 2*h - 4. Calculate the smallest common multiple of g(3) and 22.
22
Let m = 8 + -4. Suppose -m*u = -11*u + 49. What is the least common multiple of u and 6?
42
Let w = 12678 - 1521383/120. Find the common denominator of -55/36 and w.
360
Let b(o) = -809764*o**3 + 4*o**2 - 8*o - 7. Let a be b(-7). Let p = a + -1339862598461/4824. Let r = p - 2/603. Calculate the common denominator of r and 65/14.
56
Suppose 5*v = 2 + 28. Suppose 12*u - v = 10*u. Calculate the lowest common multiple of u and 10.
30
Suppose 9 = 10*w - 51. Calculate the least common multiple of w and (-2)/(-6) + (-64)/(-6).
66
Let o be (-20)/5 - (-3 - -8). Calculate the common denominator of 50/14 + o + 12 and -95/6.
42
Let c = -29 + 53. Suppose -w + 4*o - 6 + 20 = 0, 3*w = 3*o + c. Suppose -2 + 7 = a. What is the lowest common multiple of w and a?
30
Suppose -3*k = 12, 0 = 2*o + 2*o - 4*k + 2276. Let l = 2846/5 + o. Calculate the common denominator of l and 2/(7/(-22)*1).
35
Let t = 681492521306249/41644620 + -2698/2082231. Let q = 16365050 - t. Let p = -2273/4 + q. What is the common denominator of p and -5?
15
Suppose -475 = -4*n - n. Suppose -4*t - n - 17 = 0. What is the least common multiple of (-35)/2*t/35 and 12?
84
Suppose 0 = -3*k - 3*o + 51 + 99, -148 = -3*k - 5*o. What is the smallest common multiple of k and 33?
561
Suppose -2*t = v - 56, -8*v - 3*t + 57 = -7*v. Calculate the least common multiple of 18 and v.
54
Let n = 103842 - 119418317/1150. What is the common denominator of -9/16 and n?
9200
Let m = -168140863/76782 + 180/12797. Suppose -7*l = -2*l - 11025. Let n = l + m. Find the common denominator of n and -39/4.
12
Let o be (-12)/(-7) - (-2)/7. Let g be 372/44 - 24/(-44). Find the common denominator of -21/5 and o/g - (-834)/135.
5
Suppose -2*i = -3*l + 286, 15*i - 19*i + 164 = 2*l. Calculate the smallest common multiple of l and 112.
2576
Let d(y) = -y**2 - 15*y - 2. Let v be d(-15). Let a(j) = j**3 + 3*j**2 - 4*j - 3. Calculate the smallest common multiple of 6 and a(v).
18
Find the common denominator of 13409/1431 + (-8)/1 and 28/309.
2781
Let m be (-2 + -4)/((-92)/(-88)). Let a = 4317/644 + m. What is the common denominator of 11/14 and a?
28
Let b be 1 + (3316/(-170))/2. Let m = 3593148887/242732460 - -16/713919. Let z = b + m. What is the common denominator of -31/4 and z?
20
Let m be 83 + 4 - (1 + -2). Find the common denominator of 1365/364 + (2 - (-11)/(-5)) and (-2)/8 + (-358)/m.
220
Suppose 1456 = -19*g + 47*g. Suppose 28 - 116 = -4*k. What is the lowest common multiple of k and g?
572
Suppose 0 = -8*b + 113 - 529. Let p = b + 60. Calculate the least common multiple of p and ((-22)/(-3))/(1/3).
88
Suppose -37 + 169 = 3*q. Let z = 66 - q. What is the lowest common multiple of z and (-8 - -7)/(1/(-8))?
88
Suppose -3*c - 1343 = 4*y, -2*y = 3*y + c + 1676. Calculate the common denominator of 6/15 - 6/(360/469) and (7/(-70))/(4/y).
24
What is the common denominator of (-3 + 1)/(-187*(-20)/(-530)) and 55/153?
1683
Suppose -11*b + 6*b = n - 11, b + 5 = -2*n. What is the common denominator of -4 + (b - 0) - (-111)/72 and 69/2?
24
Calculate the common denominator of -181/330 and (82/(-40))/(3/6 + -1).
330
What is the common denominator of 325/156 + (-12)/(-3) and 71/8?
24
Suppose -z - 7 = -2*q + 2*z, -4*q - 5*z = -3. Calculate the least common multiple of 1/q*-2 - (-73 + 2) and 14.
70
Let n = -71419/41490 - 2/2305. Let a be -125*(11/2 + -3). Let q = a + 301. What is the common denominator of n and q?
18
Let s be 2/((-120152)/55435113) + 1. Let y = -4/15019 + s. Let d = y - -930. Calculate the common denominator of -13/5 and d.
20
Let b = 6775/2 + -386203/114. Find the common denominator of 55/8 and b.
456
Let b = -18869823/230260 + 4/57565. Let a = b - -82. Calculate the common denominator of -34/7 and a.
140
Let t be (2/1)/(4/40). Suppose t = -9*l + 4*l. What is the lowest common multiple of 20/30 - l/3 and 52?
52
Let o = -190 + 191. What is the least common multiple of o and 6?
6
Let l(a) = a**2 - 3*a. Let j be l(2). Let t be 3 - 3 - (j + -9). Suppose 6*n + 100 = t*n. Calculate the least common multiple of 12 and n.
60
Let j(o) = 94*o + 759. Calculate the least common multiple of 179 and j(-8).
1253
Let h = 2801 + -2747. What is the smallest common multiple of 291 and h?
5238
Let o(g) = 10*g**2 - 5*g + 1. What is the least common multiple of o(1) and 3?
6
Let r(j) = -2*j**3 - 13*j**2 - 32*j - 6. What is the smallest common multiple of r(-3) and 15?
135
Let l = 22 - 13. Let x(h) be the second derivative of -h**5/20 + 5*h**4/6 - 3*h**3/2 + 3*h**2/2 - 4*h + 2. Calculate the least common multiple of x(l) and 4.
12
Suppose 5*i = 2*p - 23750, 3*i + 2*p + 9111 = -5155. Let q = -114029/24 - i. Calculate the common denominator of q and -5/18.
72
Let p = -254 + 259. Suppose -4*c + 4 = s - 4, -2 = -2*c - s. Suppose -c*b + 2 + 4 = 0. What is the least common multiple of b and p?
10
Let k(a) = a**2 + 15*a + 9. Let p be (-2)/9 - 266/18. What is the smallest common multiple of k(p) and 4?
36
Suppose -26 = 5*t - 5*a + 24, 3 = a. Let m = t - -7. Suppose -4*v + 22 + 10 = m. What is the smallest common multiple of 12 and v?
24
Let k(x) = x**3 + 7*x**2 + 9*x + 12. Let i be k(-6). Let w be 53/(-3) - i/(-18). What is the least common multiple of (-4)/(-6) - 168/w and 16?
80
Let b(y) = 7*y - 83. What is the least common multiple of b(15) and 98?
1078
Suppose -24*y + 435 = -45. What is the lowest common multiple of 548 and y?
2740
Let r(p) = 3*p**3 + 6*p**2 + 6*p + 7. Let i be r(-4). Let t = 165 + i. Calculate the least common multiple of t and 14.
364
Let a = 129655/36 + -10796/3. What is the common denominator of 13/78 + 154/192 and a?
288
Suppose -2*b + 4*b + 2 = 0. Calculate the common denominator of (5 - (4 - 2)) + (-20)/38 and (-295)/25*1/b.
95
Find the common denominator of (-506)/(-275)*(-5)/11 and -59/40.
440
What is the least common multiple of 20 and (2 + -7)/(8 + (-11400)/1424)?
1780
Let w be (-317)/((64/316)/(-1)). Let r = w - 1566. Calculate the common denominator of 177/66 - (-1 - -4) and r.
176
Let p = 192 + -144. What is the lowest common multiple of 36 and p?
144
Let j be (-15)/5*(-3)/(-831). Let v = j + 1141/3047. What is the common denominator of v and (-21)/(-27)*-2*(-14)/(-4)?
99
Let p = 145658/37 - 3937. Calculate the common denominator of p and (-20)/((-1)/((-1)/3)).
111
Let w = -23 - -12. Let f = w - -25. Let z = -5 + f. Calculate the lowest common multiple of z and 4.
36
Let u be (-2128)/10 + (-2)/(-10). Let x = u - -15377/70. What is the common denominator of 4 + 8/((-512)/108)*3 and x?
112
Suppose -5*y + g + 41 = 0, 2 + 33 = 5*y + 5*g. Let t be (-2)/y*(-181212)/33. Let z = -1369 + t. What is the common denominator of 54/11 and z?
11
Let c = 9 - 3. Calculate the smallest common multiple of (-86)/(-6) + 20/(-60) and c.
42
Suppose 0 = -5*l - 3*x - 57, 0 = l + 2*x - 3*x + 5. Let m = 6675 - 66823/10. Find the common denominator of 20/l - 2/4 and m.
90
Let o = -552983 - -172530551/312. Calculate the common denominator of -103/14 and o.
2184
Let f = 497 + -496. Let v(q) = q**3 - 8*q**2 - q + 10. Let p be v(8). What is the smallest common multiple of 12 - (p - (-1 + 2)) and f?
11
Suppose i - 2*v = -3*i + 26, -5*v - 10 = i. Let z = 2 + i. Calculate the lowest common multiple of 2/(-3)*42/(-4) and z.
7