20).
804
Calculate the smallest common multiple of 330/99*153/2 and 33.
2805
Let a = 7331 + -637769/87. Calculate the common denominator of a and -16/27.
783
Let d(w) = -8*w - 34. Let x be d(-20). What is the lowest common multiple of (6/7)/(885/x - 7) and 16?
144
Suppose -2*x + k + 8 = 39, 4*k - 4 = 0. What is the lowest common multiple of 24 and ((-10)/3)/(5/x)?
120
Let i be (-1*(-24)/475)/(3420/194600). Let n = i + -3/361. Find the common denominator of n and 46/21.
105
Suppose -f - 12 = -5*j, 12*j - 9 = 9*j. Calculate the least common multiple of f and 605.
1815
Let z = 18 + -13. Suppose -z*i - d - 45 = 0, 2*i + 54 = 3*d + 19. What is the common denominator of -91/2 and i/(-12)*308/(-80)?
24
Suppose -2*k = -34 + 20. What is the common denominator of -79/18 and k/42 + (-17)/(-105)?
630
Let c = -48 - -4. What is the least common multiple of (-4)/(-1) - ((-126)/7 + 13) and ((-2)/(-4))/((-2)/c)?
99
Let q(y) = 3*y**2 - 8*y - 10. Let m be q(-4). Suppose 2*f + 3*f = -m. Calculate the common denominator of -23/16 and f/8*186/(-28).
16
Calculate the common denominator of ((1284/10)/6)/(56/10) and -73/34.
476
Let a(v) = 214*v**2 + v + 2. Calculate the least common multiple of 77 and a(1).
2387
Let l = -285 - -307. What is the lowest common multiple of l and 2?
22
Suppose -5*d = -4*w - 1809, -w - d - 466 = -5*d. What is the common denominator of 6/(-9) - w/(-132) and (-2)/(-3) - 25/(-6)?
66
Let b be (-7)/(-2*(-1)/(-4)). Let g = b - 2. Suppose 7 = -4*u + 3*f, -3*u = -0*u - 2*f + 4. What is the least common multiple of u and g?
12
Let b(r) = 37*r**3 - 2*r**2 - 8*r + 9. Calculate the smallest common multiple of 84 and b(1).
252
Let t(z) = -z + 13. Suppose 0 = 5*s + 4*b - 8, -b + 1 = -1. Suppose 4*y - 23 - 21 = s. Calculate the smallest common multiple of t(y) and 3.
6
Let c = 31567/4221 - 16/469. Calculate the common denominator of c and -9/121.
1089
Suppose -9*f = -13*f + 32. Calculate the smallest common multiple of 6 and f.
24
Let t be ((-16)/12)/((-2)/48). Suppose 0 = l - 3*l + t. Suppose -28 = -2*s - 2*m, s + 4*m - 15 = 5. What is the smallest common multiple of l and s?
48
Let u be (-14)/(-4) - (-2)/(-4). Let q = 395/42 + -32/7. Calculate the common denominator of (u/16)/((-1)/2) and q.
24
Suppose 12251 = 4*v - 27101. Let i = v + -20187. Let y = 103611/10 + i. Calculate the common denominator of y and 37/5.
10
Let f(m) = -6*m + m**2 + 22*m - 2*m**2 - 9 - 1. Calculate the smallest common multiple of f(15) and 8.
40
What is the smallest common multiple of 7*4*(-3)/14*-4 and 12?
24
Let u = -7625 - -76637/10. Let f = u + -178/5. What is the common denominator of (-51)/(-22)*(-1 + 3) and f?
110
Suppose 0*g + 4*g = -5*t - 37, 23 = -4*t - g. Find the common denominator of ((-83)/(4 + t))/(-2) and 43/11.
22
Let g = -19 + 34. Let p = -851/126 - -1/252. Calculate the common denominator of ((-50)/g)/(56/(-66)) and p.
28
Let x = -52267 - -7735465/148. Find the common denominator of -89/6 and x.
444
Let q(k) = k**3 - 1 - 5*k**2 - 2*k + 4*k**2 + 2 + 3*k. Let g be q(0). What is the smallest common multiple of -1 + (-2 + g)*-19 and 12?
36
Let v = -532 - -540. What is the lowest common multiple of v and 2194?
8776
Suppose -p + 27 + 6 = -2*c, 0 = -2*p - 2. Let q = c - -17. What is the common denominator of 116/(-32)*(1 + q) and -53/2?
8
Let q = -19 - -12. Let r = 2/13299 + -314747/26598. Find the common denominator of r and q.
6
Let x = -32986 - -3628489/110. Calculate the common denominator of x and 46/143.
1430
Let f = 98 - 98. Suppose f = 4*w - 28. Calculate the lowest common multiple of 27 and w.
189
Let g(u) = -4*u**3 + 2*u**2 + 3*u - 2. Let m be g(-2). Let w = 33 - m. What is the smallest common multiple of 8 and w?
8
Suppose 14*s = 10*s + 20. Suppose -s*o + 0*o = 0. Let g(i) = -i**3 + i**2 - 2*i + 24. Calculate the lowest common multiple of 16 and g(o).
48
Let a be ((-36)/(-8))/(1/(-2)). Let l(t) = -5*t - 93. What is the lowest common multiple of 4/6 + (-174)/a and l(-19)?
20
Suppose 4*l - 5*f - 26 = 0, 4*l = -l + f + 22. Suppose -2*s = -l*i + 6 - 20, 4*s - 4*i = 8. Calculate the lowest common multiple of 16 and (s - -5)*(0 + 1).
16
Let c = -3989666502/28957 + 137779. Let z = c - -2577141/926624. Calculate the common denominator of z and -27/16.
32
Let o = 2/14745 - -869899/412860. What is the common denominator of o and 109/6?
84
Let q = -1/2392 + -63383/11960. Let l = 2272 + -11321/5. Calculate the common denominator of l and q.
10
Calculate the common denominator of (1*-194)/2*(-6)/(-24) and -117/320.
320
Let y = -252 - -469/2. Find the common denominator of -97/108 and y.
108
Let g(x) = -5*x + 16 - x**2 + 2*x + 4*x. Let c be g(-7). Let h = c + 58. Calculate the smallest common multiple of 2 and h.
18
Find the common denominator of -10/247 and (-4)/26*(-272)/(-68).
247
Suppose 88 = -51*l + 496. Suppose -a - 4 = -18. Calculate the smallest common multiple of l and a.
56
Let f(q) = q**3 - 13*q**2 + 2*q - 3. Let v be f(13). Let g = 148 - v. Calculate the common denominator of ((-1)/9)/(5/g) and 91/8.
72
Let t(q) = q**2 - 10*q - 32. Let u(v) = -2*v - 4. What is the least common multiple of u(-6) and t(13)?
56
Find the common denominator of -4 + (-1 + 5 - 390/1680) and 19/272.
1904
Let j = -1/747 + 15692/3735. Suppose 5*y - 475 = -4*n, -3*n + 18 - 3 = 0. Find the common denominator of j and 3/3 - y/(-4).
20
Let m(k) = -k**3 - 6*k**2 - 4*k + 2. Let j be m(-5). Calculate the common denominator of 61/18 and (-93)/(-96)*(-9 - j).
144
Let t = 21943630081/3 - 826133785918219/112944. Let z = 10/2353 + t. Calculate the common denominator of z and -71/8.
16
Suppose 8373 = -7*b - 22308. Let l = b - -56931/13. Find the common denominator of l and -34/11.
143
Suppose -58*c + 53*c = -30. Calculate the common denominator of 47/44 and c/64 + (-3)/(-6).
352
Let i = 528/25 + -9011/300. What is the common denominator of i and 139/522?
1044
Let q = 382 + -378. What is the smallest common multiple of 38 and q?
76
Let h(y) = -y**3 - 21*y**2 - 2*y - 38. Let i = 4 + 1. What is the lowest common multiple of h(-21) and (-2 + i)*(-1)/(-1)?
12
Suppose 16*s + 19*s - 2240 = 0. Calculate the smallest common multiple of 16 and s.
64
Let i be -1*(6 + -2) + 28154/7036. Let u = -217921/137202 - i. What is the common denominator of 14/27 and u?
351
Suppose 194*a - 198*a + 20 = 0. What is the lowest common multiple of 78 and a?
390
Let a = -627 - -614. Let j(g) = -4*g**2 + 29*g - 45. Let r(o) = -o**2 + 10*o - 15. Let v(b) = 2*j(b) - 7*r(b). What is the least common multiple of v(a) and 35?
70
What is the lowest common multiple of 17/(476/(-16))*49/(-2) and 20?
140
Suppose 4*p = 5*q - 12, 4*p + p = 5*q - 10. What is the smallest common multiple of 2 and p*2 - (-26)/13?
6
Suppose 2*z - 60 = 4*l, -3*l - 5 = -2*l. Find the common denominator of -73/6 and -1*(98/z + -4).
30
Let r = 261 - 243. Calculate the lowest common multiple of 9 and r.
18
Suppose -2*v + 12 = 4*w - 0*w, -2*w = 6. What is the lowest common multiple of 256 and v?
768
Let d = -48 - -49. Calculate the common denominator of -107/6 and (-93)/18 + d*-2 - -1.
6
Calculate the common denominator of (19 - (-4662)/(-108))*(-1)/86 and 9/4.
516
Suppose 48 = 4*y + 4*f, -f - 3 = 5*y - 51. Suppose 2938 = 124*n + 2566. What is the lowest common multiple of n and y?
9
Let n = -660131/130806 - -840/169. What is the common denominator of n and -109/22?
8514
Suppose 0 = 16*i - 11*i + 5*y - 120, -4*i = -3*y - 68. Suppose -13 = -n - 1. Calculate the least common multiple of i and n.
60
Let k = 1577/1362 - -2/227. Let g(y) = y**2 - 10*y + 7. Let d be g(8). What is the common denominator of k and 6/d + 278/12?
6
Find the common denominator of 2812/288 + -8 - (-3)/(-2) and 73/32.
288
Let g(m) = 2*m**2 + 33*m - 12. Calculate the smallest common multiple of 10 and g(-17).
10
Let i = 5928593/6295800 + -2/262325. Find the common denominator of 65/12 and i.
120
Let b(j) = -5*j + 57. Let l(y) = 6*y - 58. Let a(v) = 4*b(v) + 3*l(v). Let k(q) = -2*q - 2. Calculate the least common multiple of a(20) and k(-3).
28
Let g(h) = -3*h**2 - 55*h + 43. Calculate the lowest common multiple of g(-19) and (-3)/(-6)*14 - 0.
35
Let l be 204/21 + (-48)/(-21) + -2. Find the common denominator of (-1226)/60 + 6/l and -13/15.
30
Let h = 39 + -36. Suppose -h*p + 3*c - 3 = -0, 4