536. What is the common denominator of 65/40 - 3/4 and n?
88
Let n(i) = 18*i**2 + 73*i. Calculate the lowest common multiple of n(-6) and 220.
4620
What is the lowest common multiple of 293 and -1 - (8/(-1) - (-10 + 4))?
293
Let k be 701608/80 + 3/5. Let o = 8782 - k. Calculate the common denominator of o and -11/12.
60
Suppose -15 = 5*n, -n + 9 + 10 = 2*g. Let v = g - 7. Let q = -67 + 83. Calculate the smallest common multiple of q and v.
16
Let g(t) = -9*t - 19. Let f be g(-10). Suppose 3*v - c = f, -3*v = -v + 3*c - 51. Calculate the lowest common multiple of 27 and v.
216
Let m = -35963/9 + 3991. Let f = -3/1985 - 43643/17865. What is the common denominator of f and m?
9
Let b be -33*-1*(-1 + 2). Suppose -3*t + 6*t - b = 0. Calculate the smallest common multiple of 2/(-3) + (168/(-154) - (-421)/33) and t.
11
Suppose -2*n - 4 + 38 = 3*k, -k + 5*n = -34. What is the lowest common multiple of k and 558?
3906
Let a(q) = -q**3 + 10*q**2 - 17*q - 8. Calculate the lowest common multiple of a(7) and 40.
40
Suppose -3*i - j = -6, -3 = -4*i + 5*j + 5. Let k(w) = 0 - 3*w + 4 - i. Calculate the lowest common multiple of k(-6) and 2.
20
Suppose -2*q + 18 = 4. Suppose f = 3*g + q, 3*f + 2*g - g = 31. Suppose 2*k - 11 = 5*t + 12, -2*k = -4*t - 24. Calculate the lowest common multiple of k and f.
70
Suppose -409 - 23 = -8*g. Suppose 0 = 8*p - 5*p - g. What is the least common multiple of 12 and p?
36
Calculate the common denominator of 113/20 and 116/(-112) + (5 - 6).
140
Calculate the common denominator of (2/2)/(0 - 33/(-37)) and 0 + 2 + (-94)/21.
231
Suppose 2*f = 2 + 12. Suppose 0 = -k + 2*k + 3*j - 17, -2*k - 3*j = -19. Suppose k*i = 12 + 8. What is the smallest common multiple of f and i?
70
Let n = 36 + -84. Find the common denominator of 67/15 and (-4)/(n/18)*79/15.
30
Let m = 1594 - 1590. Suppose 0 = 5*s - 10, a - 2*s = -s + 4. Let i(r) = -r**3 + 7*r**2 - 2*r + 2. What is the lowest common multiple of i(a) and m?
52
Calculate the common denominator of ((-172)/(-108))/((-1)/(-1)) and (140/(-21))/(-4)*(-8)/4.
27
Find the common denominator of 43/105 and (24/(4 - 2))/((-833)/51).
735
What is the least common multiple of (-2)/7 - (-14800)/56 and 99?
792
Let p = 58 + -48. Calculate the lowest common multiple of p and 13 - (0 + -3) - 2.
70
Let h(c) = -52*c - 4. Calculate the smallest common multiple of h(-1) and 42.
336
Let h = -22 + 39. Suppose h = 3*v - 5*o, -2*v + 3*o = -v - 7. Find the common denominator of -8/3 and 162/(-8) + 6/v.
12
Calculate the common denominator of ((-875)/(-20))/(-5)*27/(-15) and -57/28.
28
Suppose -4*o = -4, -94 = -5*z - 2*o - 2*o. Suppose -4*h = -h - 18. What is the smallest common multiple of h and z?
18
Let l = -6 - -18. Let w(z) = -z**3 - 4*z**2 - 5*z - 1. Calculate the smallest common multiple of l and w(-2).
12
Let z(n) = n + 20. Let r be z(-7). Let j = r + -12. What is the smallest common multiple of 10*j*2/1 and 20?
20
Let j = 271 + -263. Calculate the lowest common multiple of 20 and j.
40
Let i = 2 - 4. Suppose 0 + 3 = -3*k. Calculate the lowest common multiple of 16 - (k - (-3 - i)) and 2.
16
Let d = -2028793/432 - -135034/27. Let l = d + -920/3. What is the common denominator of l and -73/4?
16
What is the common denominator of ((-280)/42)/(2/(-9)*-3) and -143/48?
48
Suppose 9 = -3*b + 114. Suppose -3*f + b = 5. Suppose 3*z - 5*o + 4 = 0, 0 = z - 3*z + 4*o - 4. What is the smallest common multiple of f and z?
10
Let n = 53 - 46. Calculate the smallest common multiple of (2 - n/3)*(4 - 10) and 13.
26
Suppose -3*u = 124 + 176. Let r be (7024/u)/(4/(-10)). Let m = 1729/10 - r. What is the common denominator of -71/10 and m?
10
Let h(f) = 6*f**3 - 24*f**2 - 4*f + 23. What is the smallest common multiple of 161 and h(4)?
161
Let t = 907 - 2708/3. Find the common denominator of -64/3 and t.
3
Let c(q) = 2*q**2 - 14*q + 2. Let b be c(7). Suppose -b*o = 4*u - 5*o - 28, -u + 2*o + 7 = 0. What is the least common multiple of ((-3)/5)/(u/(-70)) and 11?
66
Let b = -36 + 32. Find the common denominator of b and (-308)/(-186) + 4/(-12).
31
Suppose 4*r + 67 = 107. What is the smallest common multiple of r and 22?
110
Suppose -2*y - 3 = -19. What is the least common multiple of ((-1001)/65 + -11)*10/(-4) and y?
264
Let y = 83438731/608680 + -98/15217. Let j = y - 676/5. Calculate the common denominator of -67/28 and j.
56
Let w = -3 + 22. Find the common denominator of w and 89/10.
10
Suppose 10*f = 6*f - 8. Let k(x) = x - 6. Let g be k(f). Let p(a) = -a**3 - 8*a**2 - 4*a - 12. What is the smallest common multiple of 10 and p(g)?
20
Suppose -6*j = -2*j - 5*d - 135, -5*j + 195 = -d. Calculate the common denominator of -44/5 and (j/(-16))/(42/15).
140
Suppose -3*w = 5*z + 16, 11*w - 4*z = 8*w + 29. Calculate the least common multiple of (36/(-15))/(6/(-45)) and w.
18
Let u = -1622969/69 - -23522. What is the common denominator of 7/81 and u?
1863
Let r(m) = -7*m - 19. Let x be r(-4). Calculate the common denominator of -133/12 and (((-5445)/100)/x)/1.
60
Let c(z) = 939*z**2 - 2*z - 3. Let m be c(-1). Suppose -2*y = s + 627, 3*y + m = 4*s - 5*s. Find the common denominator of -23/18 and y/(-30) - (-3)/(-15).
18
Suppose -8*s - 4947 = 23285. Let u = s - -28155/8. Let t = 329 - 2585/8. Calculate the common denominator of u and t.
8
Let t(v) = -6*v + 24. Let x be t(-7). Suppose j + x = 3*j. Calculate the smallest common multiple of 6 and j.
66
Let f(h) = -6*h + 16. Let t(y) = -y**2 - 8*y - 8. What is the smallest common multiple of t(-6) and f(-3)?
68
Suppose 5*x + 3*p - 35 = 0, -4*p - 3 = -x + 4. What is the lowest common multiple of 49 and x?
49
Let p(h) = h + 10. Let z = -56 - -48. Calculate the lowest common multiple of p(z) and 13 - 2 - 1/1.
10
Let f(x) = -4*x**3 - 6*x**2 - 3*x + 1. What is the lowest common multiple of 12 and f(-3)?
192
Let x be (147/(-2))/(24/(-992)). Find the common denominator of ((-4)/(-14))/(168/x) and (-376)/(-10)*(-11)/(-176).
60
Let y = 6/5867 + -404919/93872. What is the common denominator of y and 83/4?
16
Let a be 2 - (59688/1)/3. Let j be (-9824971)/(-494) - (-4)/((-4)/(-3)). Let s = j + a. Find the common denominator of -101/18 and s.
342
Suppose -432 = -2*r + 2*h, -3*r - 5*h = -832 + 184. Suppose 5*y - 341 = 3*g, -6*g + r = 3*y - 4*g. Calculate the smallest common multiple of y and 10.
70
Find the common denominator of 155/(-14) + -49 + 51 + 1 and -91/6.
42
Suppose 212 = r + 3*r. Let h be 48/(-32)*10/(-1). Let g = h - r. What is the common denominator of g and -13/8?
8
Suppose 4*a + 2*u - 40 = 0, 5*a = -14*u + 9*u + 60. What is the smallest common multiple of 534 and a?
2136
Let k(g) = -11*g**3 - 2*g**2 + 1. Suppose -5*y - 72 = -7*y. Suppose -5*l + 14 = -y. Calculate the smallest common multiple of k(-1) and l.
10
Let x = 1559498253680559/49480416931660 + 298833/168460030. Let m = x - 4/146861. Let p = -348/13 + m. Find the common denominator of p and -97/4.
4
Let r = -4214 + 50605/12. Let y = -68696/33 - -2082. What is the common denominator of r and y?
132
Let l = -1502/65 + 264/13. What is the common denominator of 6/(-30) + (-373)/(-140) and l?
140
Suppose x = -0*x - 5*s - 13, -2*s = 5*x - 4. Let u be (-9)/x*(-44)/(-3). Find the common denominator of 25/2 and 2/(-1) - u/84.
14
Let f(x) = 6 + 10*x - 19 + 5*x. Let t(q) = 5*q - 4. Let l(o) = 4*f(o) - 11*t(o). Calculate the least common multiple of 11 and l(3).
77
Let a = -13 + 121. Let z = a + -76. What is the lowest common multiple of z and 14?
224
What is the lowest common multiple of 290 and (-2 + (-12)/4)/((-5)/100)?
2900
Let f = 37/3 + -12. Suppose w - 7*w - 48 = 0. Calculate the common denominator of w and f.
3
Calculate the common denominator of -23/9 and 0 - 5/310*-22.
279
Let w(s) = -s**3 + 19*s**2 - 34*s + 6. Suppose 10 = 4*z + z. Suppose -z*u = -5 - 35. What is the smallest common multiple of w(17) and u?
60
Suppose 29*o + 108 = 41*o. Calculate the lowest common multiple of 6 and o.
18
Let c(u) = 2*u**3 - 25*u**2 - 13*u + 12. Suppose -3*v = 5*p - 37, -3*p + 2 = 2*v - 21. Calculate the lowest common multiple of c(13) and p.
60
Let x be (-7)/29 - (27/9 + -5). Let v = 1397/580 - x. What is the common denominator of v and 1/20?
20
Find the common denominator of (3 + (-72)/27)*(-27)/(-48) and -29/500.
2000
Calculate the common denominato