1. Let w(v) = -v**2 - v + 3. Let k be w(5). Calculate the common denominator of -52/9 and y/k*-1 + 9830/(-900).
90
Suppose -152 = -6*b + 181 + 27. Calculate the smallest common multiple of 540 and b.
540
Let p = 1935 + -2877. Find the common denominator of 19/12 and (-1 + (-29)/(-28))/(90/p).
420
Let r = -4469/4180 - -4/209. Calculate the common denominator of r and 113/40.
40
Find the common denominator of -4/77 and (-1)/(1*8 - (-2930)/(-345)).
2618
Suppose 2*f + 98 = 4*m, m = 3*f + 16 + 1. Suppose y = -3*k - 9, -k + 0*y = 3*y - 5. Calculate the lowest common multiple of -5 - (5 + k + -24) and m.
234
What is the least common multiple of (352 - -1) + (18 - (-70)/(-7) - 13) and 580?
1740
Let b = 2/104961 + -3954307/40724868. Calculate the common denominator of 53/970 and b.
5820
What is the lowest common multiple of 14 and 2/(-8)*-14 + 14112/64?
224
Calculate the common denominator of (-18)/42 + (-274)/(-112) and (-614)/2149 - ((2 - 1) + 42/(-8)).
56
Let h(t) = -12*t**2 - 23*t**2 - 5*t - 4*t - 14 + 28*t**2 - t**3. Calculate the smallest common multiple of h(-6) and 217.
868
Let q = 29171 - 262615/9. Calculate the common denominator of ((-1)/(-4))/(10/(-4)) and q.
90
Let n be (-3*(-110)/(-15))/((-1)/9). Let c = n - 163. What is the smallest common multiple of c and 1?
35
Find the common denominator of -69/392 and (-114)/(-798)*198/(-8).
392
Let w(i) = i**2 - 10*i + 10. Let q be w(8). Let s(l) = l**2 + 4*l + 8. What is the least common multiple of (-1012)/(-55) - 6/15 and s(q)?
180
Let d be -2 - (-9)/4 - 3154/(-8). Let h = 12669/32 - d. Find the common denominator of h and 111/40.
160
Suppose -p - 2*f + 2 + 14 = 0, -8 = -2*p + 2*f. Suppose -j + 12 = p. What is the least common multiple of 7 + (-2 - j) + 2 and 8?
24
Let z = 22 + -15. Let k be (2 - (1 + 5)) + (-14)/(-2). Suppose k*i + 4*a = -i + 24, 69 = 4*i - 5*a. Calculate the least common multiple of i and z.
77
Suppose 3*g - 4*o - 7 = 0, 6 = 3*o - 9. Let w(f) = f**3 - 2*f**2 + 6. Calculate the lowest common multiple of w(5) and g.
81
Let c = 5210 - 3977. Calculate the least common multiple of c and 411.
1233
Let b = 593695 + -453582913/764. Calculate the common denominator of b and -59/24.
4584
Let n = -15313332753/4880 - -3137978. Calculate the common denominator of n and 56/915.
14640
Let z be 24/(-320)*-4 - 2168/(-5). Let w(u) = 7*u**3 + u**2 - 6*u + 4. Let k be w(4). Let n = k - z. What is the common denominator of n and -41/10?
10
Let d = -13887 - -18386. What is the least common multiple of d and 33?
13497
Let t be -9 + (-2 - 4/(-1)). Let a(z) = z**2 + 7*z - 2. Let b be a(t). Find the common denominator of -20/3 and (b - 84/(-39)) + 1907/(-312).
24
Let z(w) = -97*w - 5563. What is the least common multiple of z(-102) and 355?
21655
Let b = -56 + 96. Let p = b - 36. What is the common denominator of 0/(-5 - -4) + 46/p and -35/8?
8
Let g = 1414693 - 2518153657/1780. What is the common denominator of 49/1424 and g?
7120
Let k = 112/39 - -1931/156. Let a = -10 - k. Calculate the common denominator of a and 758/396 - 26/(-117).
44
Suppose 27*v = 3*u + 29*v + 100, -v - 68 = 2*u. What is the common denominator of (-124)/18*3/(-8) and (-160)/u + (-11)/22?
36
Let q be (3 - 11)/(1/(-7)). Let k = -57 + q. Find the common denominator of 111/10 and -3 - k*(-310)/(-44).
110
Let c = 16567/1842 + 53/307. What is the common denominator of 9/4922 and c?
14766
Let i = -2180 + 1292. Let s = -4484/5 - i. What is the common denominator of s and 79/21?
105
What is the common denominator of (2/10)/(9/(-27)*2) and (101/(-25) - -4)/(8/(-330))?
20
Find the common denominator of 59/10 and (-2)/(-12) + (-41736)/376290.
1130
Let b(o) = -o**3 - 9*o**2 - 23*o + 20. Let p = 204 + -210. What is the smallest common multiple of 30 and b(p)?
150
Let b(m) = 3*m**2 - 20*m + 158. Calculate the smallest common multiple of 803 and b(25).
16863
Suppose -8*q - 3*a - 225 = -12*q, 5*q - 310 = -2*a. Suppose 2*u - 36 = -6. Calculate the least common multiple of q and u.
60
Suppose -1785 - 11329 = -122*g + 10676. What is the smallest common multiple of 325 and g?
975
Suppose 5*f - 19*f = -1260. Let q = f - 80. Calculate the smallest common multiple of q and 8.
40
Suppose -k - 735 = 4*f, -f + 4*k = 4*f + 945. Let q = f - -264. What is the least common multiple of 2 and q?
158
Suppose -4350*w - 32 = -4358*w. Calculate the smallest common multiple of w and 1663.
6652
Let i = 2804 - 2769. What is the smallest common multiple of i and 126?
630
Suppose 0 = -4*w - 3*q + 5, -4*q = -2*w + 9 - 1. Let c = 3870 + -3882. Calculate the common denominator of -143/6 and (-11 + 124)*w/c.
6
What is the common denominator of 125/576 and 1 - (0 - -7) - (-1 + (-6220)/1152)?
576
Let u be (146/120 + -1)*90382. Let s = 19586 - u. Let f = 20141 + -422965/21. Find the common denominator of s and f.
210
Suppose -c + 4271 = 5*r, 19*c + 4*r = 20*c - 4334. Calculate the smallest common multiple of 8 and c.
17224
Calculate the least common multiple of (6 + 132/(-5))*(-80)/12 and 84.
2856
Let c = 1761294/91 + -7697251/390. Let v = c - -2705/7. Find the common denominator of -52/9 and v.
90
Let o be 181 + (-2 - -2) + -1. Let v = 92354/13401 - 4/1489. What is the common denominator of 2/((o/(-92))/5) and v?
9
Suppose -32*k - 1356 = -1996. Let u be (-6)/27 - 4/(-18). Suppose -5*d + 19 + 1 = u. Calculate the lowest common multiple of k and d.
20
Let v = -64194/22895 + 264/95. Let o = 4067/1205 - v. Calculate the common denominator of o and ((-5)/(-10))/(451/(-682)).
205
Let t(q) = q**2 + 3*q - 6. Let f be t(-4). What is the smallest common multiple of (-1152)/(-21) + f/(-14) and 15?
165
Let l(h) = -h**2 - 15*h - 45. Let u be l(-6). Calculate the least common multiple of 9 and -11 + 101/u - 187/(-9).
63
Let w = 137 + -71. Calculate the lowest common multiple of w and 45*26/520*16.
396
Let q = -770 - -1230. What is the least common multiple of 460 and q?
460
What is the smallest common multiple of 319 and 5716/10 + 252/630?
16588
Let p = 5319 - 4578. What is the lowest common multiple of p and 91?
5187
Suppose -392 - 81 = -6*v + 577. Calculate the smallest common multiple of v and 11.
1925
Suppose 16*o + 2288 = -6*o. Calculate the common denominator of -40/7 and 6 + -7 - o/172.
301
Suppose -4*m + 29 = -5*z, -111*z - 20 = -3*m - 109*z. Let g(h) = 3*h - 5. Calculate the lowest common multiple of g(5) and m.
30
Let t be (4/(-10))/(6629/(-140)). Let g = -1872203/1894 - t. Let v = 1026 + g. What is the common denominator of -103/6 and v?
6
Let o = -54 - -60. Let b be o/(4*2/(-4)). What is the common denominator of (42/(-24))/(b/(-2) - 1) and 73/4?
4
Let t(f) = f**2 - 2*f - 46. Suppose 135 = 7*l - 26. Calculate the smallest common multiple of t(l) and 5.
2185
Find the common denominator of (106/70)/((-24)/(-10)) and 162/297 - 8020/(-2640).
84
Let i = -12/77 + 6227/924. What is the common denominator of (-113)/(-284) + (-4)/16 and i?
852
Let k = -1972809/7224770 - 6/17795. Calculate the common denominator of k and 37.
406
Let h = 4/335 + -20471/3015. Let q be 2 + 2 + (-65698)/24. Let w = 2731 + q. Calculate the common denominator of w and h.
36
Suppose -5*k - 2*o + 26 = 0, 5*o = -3*k + 2*k + 19. Suppose -4*z + 148 = k*c, -4*c - 5*z + 177 = 32. Calculate the smallest common multiple of c and 2.
40
Let p(u) = 6*u**2 + 104*u + 1240. Calculate the least common multiple of p(-24) and 900.
19800
Let h = -97339/108 - -8120/9. Calculate the common denominator of h and 11/888.
7992
Suppose -d + 4*z = -206, 626 = 3*d - z - 3*z. Suppose 0 = -10*t + 4*t + d. Let r = -21 + t. What is the least common multiple of r and 6?
42
Suppose -3*q + p = -38, -q - 4*p + 6*p = -6. Let k = -123 - -613. Calculate the smallest common multiple of q and k.
490
What is the least common multiple of (-1770)/(-70) + -10 - (-2)/(-7) and 9?
45
Suppose -13*z - 40*z + 8*z = -450. Calculate the least common multiple of 4 and z.
20
Suppose -37*t + 3412 = -8*t - 2823. What is the least common multiple of 345 and t?
14835
Let l = -18355 + 29252. Let i = -686446/63 + l. What is the common denominator of i and -89/24?
504
Let q = -47 - -52. Let w be 110/8 + (q - 95/20). Suppose w - 13 = o. What is the least common multiple of 17 and o?
17
Let b = 495 + -466. Suppose u - 1170 = -b*u. What is the smallest common multiple 