18
Suppose -6 = -3*y + y. Suppose y = o - 1. Suppose -5*x - 4*i + 8 + 15 = 0, 0 = -4*x - 5*i + 22. Calculate the lowest common multiple of x and o.
12
Let a = -19787 - -30398. Let i = a - 148665/14. What is the common denominator of 45/8 and i?
56
Suppose -3*t = -i - 7 + 27, -3*t = -2*i + 34. Let p(j) = -j**2 + 14*j + 4. Suppose -32 = -3*k + k. Calculate the smallest common multiple of p(i) and k.
16
Let u = 3551/1050 - -7/150. Find the common denominator of -6/35 and u.
35
Suppose -n = -25 - 7. Let z = -162 - -170. What is the lowest common multiple of z and n?
32
Let u = 15268 - 305269/20. Let b be ((-159)/(-63))/((-5)/(-15)). Let j = b - 319/42. What is the common denominator of j and u?
420
Let r = 41/24 + -401/168. Find the common denominator of 4/(-6)*(-306)/(-88) and r.
308
Calculate the common denominator of 106/(-21)*-1*(-47)/94 and -91/186.
1302
Suppose -14*p + 38 = -46. Calculate the lowest common multiple of 14 and p.
42
Let t(f) = 2*f**2 + 13*f + 11. Let r be t(-11). Suppose 4*d + 2*y - 88 = 0, -6*d + d + r = -5*y. What is the smallest common multiple of d and 8?
88
Let b = 26 + -11. What is the lowest common multiple of (-2 + (-26)/(-8))*8 and -2 + 294/b + 6/15?
90
Let r(m) = 3*m**2 - 3*m - 6. What is the smallest common multiple of 100 and r(4)?
300
Let o(y) = 4*y**2 + 10*y - 30. Calculate the least common multiple of 100 and o(3).
900
Suppose 453 - 89 = -13*c. What is the common denominator of c/(-63) + (-103)/90 and 6/5?
10
Let u = -2746/61 - -717554/671. Let n = 129060/143 - u. Let s = n - -20087/156. What is the common denominator of s and 23/14?
84
Calculate the common denominator of -113/126 and 0 + 6 + (-551)/96.
2016
Calculate the common denominator of 49/6 and (60/306)/(12/(-45)).
102
Let n be (-60)/(-14) - (-2)/(-7). Let j(k) = -k**2 + 8*k + 1. Let b be j(n). What is the least common multiple of b/4 + (-5)/20 and 1?
4
Let i = -2559/5 - -506. Calculate the common denominator of i and 37/1946.
9730
Let f = -1 - 0. Calculate the common denominator of (-262)/56 - 6/24 and f/(-50)*(-4905)/18.
140
Find the common denominator of 61/10 and 17*(-19)/342*(-8)/18.
810
Let m = -8 - -14. Let l(t) = -5*t + 57. Let g be l(11). Calculate the least common multiple of m and (-3 + 20/5)/(g/8).
12
Suppose -1457*d = -1478*d + 1680. Calculate the least common multiple of 10 and d.
80
Let o = -2009 - -2114. Calculate the least common multiple of 21 and o.
105
Let a(r) = 3*r**2 + 17*r + 4. Calculate the least common multiple of a(-6) and 75.
150
Let v be -1*2/4*(6 + -10). Find the common denominator of -1 + 6/v + 186/12 and 27/4.
4
Let b = 2146247/1111044 - -2/25251. Find the common denominator of b and -71/50.
1100
Let v be 40/2 - (-4 - -4). Let q = -230 - -703/3. Find the common denominator of (-7)/6*(0 - v) and q.
3
Let x(m) = -m**2 + 8*m + 37. Calculate the lowest common multiple of x(11) and (28/(-35))/(4/(-50)).
20
Suppose 1153 = -2*a + 181. Calculate the common denominator of -29/33 and 3/(a/(-33))*(8 - 0).
297
Let k be 28/6 - (3 + 30/(-9)). Suppose 5*c + k*o = 65, 5*c + 2*o = -o + 69. Calculate the lowest common multiple of 6 and c.
30
Let b be (-2)/8 - (-21)/84. Suppose 92 = 3*x - 0*k - 2*k, b = -x + k + 31. What is the least common multiple of 1 and x?
30
Suppose 2*d + 4*b - 40 = 3*b, b + 114 = 5*d. Suppose 4*s - 46 = d. Calculate the smallest common multiple of s and 7.
119
Let g(j) = 64*j**2 + 6*j + 6. Calculate the lowest common multiple of 10 and g(-1).
320
Let h(y) = 13*y**2 + 4*y. Let c(p) = 4*p**2 + p. Let b(x) = 7*c(x) - 2*h(x). What is the lowest common multiple of b(-4) and 24?
72
Suppose 3*a - 3*o - 36 = 0, 2*a - 5*o - 37 - 2 = 0. Suppose -2*v - 80 = -a*v. Calculate the least common multiple of 4 and v.
16
Let k = -477929/18 - -26544. Let z be -1 + 4783/(-1330) + 8/28. Let x = z - 148/19. Calculate the common denominator of x and k.
90
Let h be (13 - 5)/(3 + -1). Suppose 0 = -4*v - 5 + 9. What is the lowest common multiple of v and ((-24)/(-14))/(h/14)?
6
Let y = 428 - 386. Calculate the smallest common multiple of y and 147.
294
Let s = -33 + 6. Let f = -622328/41 + 15178. Let z = -3775/164 + f. Find the common denominator of z and s.
4
Suppose -2 = -2*o, -3*l - 6*o + 2*o = -19. Suppose 0 = -14*c + l*c + 1152. Calculate the lowest common multiple of c and 22.
1408
Suppose -770 + 67 = 2*r - 5*f, -4*r - 2*f - 1370 = 0. Let c be ((-2)/(-3))/(r/(-6)). Let u = c - 1357/215. What is the common denominator of u and -63/4?
20
Find the common denominator of 11/39 and 12 + (5 - (-3971)/(-286)).
78
Let c = -9 + 19. Suppose 30 = b + 5*b. Suppose 4*v + b = 25. What is the lowest common multiple of v and c?
10
Let f(s) = s**3 - 11*s**2 + 20*s + 14. What is the smallest common multiple of 8 and f(12)?
1592
Find the common denominator of -57/2444 and (-2)/(-18) + (-30310)/6300.
12220
Let p = -94 + 48. Let j = 142 + p. Calculate the common denominator of 32/3 and (-3 - 11)*44/j.
12
Suppose 2*b - o - 3 = 0, 3*b + o - 9 = 2*b. Let h(l) = l**2 + 5*l - 7. Let m be h(-6). Calculate the lowest common multiple of b and m - ((-16)/2 - -4).
12
Let o be -1*2 + (-24)/(24/(-4)). Suppose -5*w + o*k + 7 = -63, 2*w = 2*k + 34. Calculate the least common multiple of w and 4/8 - (-54)/4.
84
Let y(r) = 8*r**2 + 3*r - 2. Let t = 82 + -81. What is the lowest common multiple of 1 and y(t)?
9
Let b(f) = 742*f**2 - 6*f - 3. Let k be b(-4). Let z = k - 237793/20. What is the common denominator of -73/18 and z?
180
Suppose -15 = -4*b + 3*k, 72*k - 69*k = -3*b + 27. Let v(c) = 6*c - 8. Let t = -18 - -25. Calculate the lowest common multiple of b and v(t).
102
Let c(x) = x + x**2 - 6*x - 4 - 7*x + 5. Let n be c(12). Let s = 4 - n. What is the least common multiple of 7 and s?
21
Suppose 0 = 2*p + 4, -x + 2*x + 1964 = -p. What is the common denominator of -93/16 and 4/42*x/24?
112
Let h(s) = -21*s**3 + 9*s**2 - s - 7. Let a be h(9). Let q = a + 175271/12. Find the common denominator of q and 2/4 + (-306)/24.
12
Find the common denominator of -119/10 and (-33)/(-2235)*1935/(-172).
2980
Let k = -25201/6 - -4223. What is the common denominator of k and -23*(-2)/(-108 - 0)?
54
Let s = -1088357/36 + 30234. What is the common denominator of s and 23/16?
144
Suppose 10 = 4*y - 2*j, -4 + 1 = -4*y - 5*j. What is the lowest common multiple of 22 and y?
22
Let i = 1071 - 1055. Calculate the lowest common multiple of i and 8.
16
Let h = 7 - 7. Suppose h = p - 5*n - 15, 2*n + 2*n + 138 = 5*p. What is the smallest common multiple of 6 and (-226)/(-10) + p/(-50)?
66
Suppose 9 = 3*t, 0 = 2*m - 2*t + 4*t - 146. What is the least common multiple of m and 12?
420
Calculate the common denominator of 134/(-110) - (-12)/6 and -87/88.
440
Let z = 33 + -1. Calculate the smallest common multiple of 1/26 + 197491/8242 and z.
96
Find the common denominator of 87/16 and (3/1)/((-84)/90).
112
Let z = 123 - 178. Let q = -91 - z. What is the least common multiple of ((-9)/(-12))/((-3)/q) and 11?
99
Let b be 2/(-10) - ((-336)/(-20))/(-4). Suppose -b*y + 34 = -4*i - 2, y - 9 = 2*i. What is the lowest common multiple of y and 21?
63
Let x = 12283/4 + -3056. Let g = x - 193/8. Calculate the common denominator of g and 151/6.
24
Let i = 16 - -4. Calculate the smallest common multiple of i and 108.
540
Suppose 7*r + 32 = 11*r. Calculate the least common multiple of 22 and r.
88
Calculate the smallest common multiple of ((-2)/4)/((-29)/348) and 55.
330
Calculate the common denominator of -17/81 and 5/20*-2 + (-917)/(-882).
567
Suppose s + 3*z = 8*z + 21, -5*z - 18 = 2*s. Find the common denominator of s + -2 - 96/(-378)*3 and -82/15.
105
Let u be 34/4*-15*6/(-9). Let q = 89 - u. Calculate the lowest common multiple of 5 and q.
20
Let n = -610/13 + 2633/78. Find the common denominator of 29/45 and n.
90
Let s = 3121 + -1572. Let f = s + -6261/4. Find the common denominator of f and 27/16.
16
What is the common denominator of (15/55)/((-7)/19) and 15/182?
2002
Suppose 16*s + 180 = 26*s. Calculate the lowest common multiple of 357 and s.
2142
Let a = 786/5 - 3649/20. Let f = 17105/2 + -9389. Let w = -807 - f. Calculate the common denominator of a and w.
4
Suppose 6*q - 9 = 3. Suppose 25 = -l + x - 3*x, -q = x. Let c = l - -29. Calculate the smallest common multiple of 6 and c.
24
Let o be (-812)/(-6)