 45*x = 43*x - n. Calculate the common denominator of x and 19/34.
34
Let b = -441 - -443. Calculate the lowest common multiple of b and 4.
4
Let u(b) = -b**2 - b - 2. Let s be u(-1). Let n = s + 5. Suppose -7*q = -n*q - 44. Calculate the lowest common multiple of q and 2.
22
Let o(i) = 9*i - 246. Calculate the least common multiple of o(31) and 15.
165
Let h = -2323430 + 381043729/164. Let t = 5/41 - h. Calculate the common denominator of (18/(-4))/(-11*15/80) and t.
44
Suppose 0 = -b - b + 3*n + 6, 0 = 3*b - 5*n - 11. Let y = b - -5. What is the smallest common multiple of y and 2?
2
Let v(s) = -s**3 + s + 1. Suppose -4*b + 7 = -9. Suppose -b*f = -2*c - 6, -4*c + 24 = -f + 1. Calculate the least common multiple of v(-1) and c.
7
Suppose -3*r + 5*y - 5 = 0, 2 = -5*r - 4*y + 6*y. Suppose 18 = -r*h + h. What is the least common multiple of 3/12 + 55/4 and h?
126
Suppose 8*w - 14*w + 24 = 0. Suppose 0 = -w*u + 4*z + z + 21, -3*z = -5*u + 36. Let i(t) = 5*t**2 - t. Calculate the least common multiple of i(2) and u.
18
Let o(n) = n**3 - 4*n**2 - 11*n + 10. Let r be o(6). Let h = -10 - -54/7. Calculate the common denominator of r/(-28) + (-1088)/(-140) and h.
35
Let n = -118 - -46. Calculate the common denominator of -1 + (-1)/(-2) + 1608/n and 35/62.
186
Let p(h) = 1412*h**2 + 6*h + 5. Let s be p(-3). Let w be s/15*(-21)/(-22). Let x = -811 + w. What is the common denominator of 79/26 and x?
286
Let m = -58 + 96. Let o = -26 + m. Suppose 0 = -x - 1, 0 = -4*g - 2*x - 3*x + 51. What is the lowest common multiple of o and g?
84
Let l = 185/6 - 475/12. Let a be (-2)/12 - 1566205/196680. Let p = 8/1639 + a. Find the common denominator of p and l.
8
Suppose -3917*l - 3 = -3918*l. Suppose 0 = 4*h + h - 25. What is the lowest common multiple of 18/h*5/2 and l?
9
Let z be (19/(-57))/((-2)/(-101)). Let d = z - 3/2. What is the common denominator of -21 and d?
3
Let k = 10977/2330 + 44/233. Suppose 4*j - 5 = -j. Find the common denominator of k and j - (102/20 - 4).
10
Calculate the common denominator of 61/22 and -11 + (-11 - (-79092)/3624).
3322
Let k = -12/89 - 6478/801. Find the common denominator of -107/96 and k.
288
Let z = 6255/4 - 1551. What is the common denominator of z and -74*(-3)/90 + -1?
60
Let q = 13 - -29. Calculate the least common multiple of 21 and ((-19)/((-665)/q))/(2/35).
21
Let p be ((-2)/(-5))/((-26)/65). Find the common denominator of -34/7 and (-242)/p*3/(-36).
42
Suppose -37*p + 374 = -20*p. What is the lowest common multiple of 22 and p?
22
Let n = -45 - -23. What is the smallest common multiple of (1/1)/((-2)/n) and 11?
11
What is the least common multiple of 1/(-4) + 194/8 and (45/(-135))/(2/(-54))?
72
Let w(r) = -r**2 - 32*r - 126. Calculate the lowest common multiple of 11 and w(-5).
99
Suppose 3*x - 471 = -3*w, w + x + 308 = 3*w. Calculate the lowest common multiple of w and 62.
310
Suppose -115 = 3*z - 5*m, 5*m + 110 = -2*z - 0*z. Find the common denominator of 100/(-32) - (-2)/4 and (z/30)/(8/(-9)).
16
Let d = 9827/24 - 2399/6. What is the common denominator of d and 47/374?
1496
What is the common denominator of 123/40 and (7/5 + -1)/(8/108)?
40
Calculate the smallest common multiple of -14 + 9 + 318/6 and 18.
144
Find the common denominator of -58/27 and (-226)/(-17967)*(-17)/2.
1431
Suppose 5*i = i + 1984. Let q = 1013/2 - i. What is the common denominator of q and (-135)/(-21) - (-2 + 0)?
14
Let y(b) be the third derivative of -2/15*b**5 + 4*b**2 - 1/120*b**6 + 11/6*b**3 + 0*b + 0 - 1/3*b**4. Calculate the least common multiple of 10 and y(-7).
90
Suppose 27 = -s - 2. Let w = -26 - s. Calculate the least common multiple of w and 37.
111
Suppose -p - 12 = -347. What is the lowest common multiple of 9 and (378/(-48) - -8) + p/8?
126
Calculate the common denominator of 17/447 and -62*4/44 - (2 + -6).
4917
Suppose 3*q + 3*u = 15, 3*q - 20 = -5*u + u. Suppose 5*o - 2*b = -4*b + 20, -5*o - 3*b + 15 = q. What is the smallest common multiple of 32 and o?
96
Let q(g) = -4*g + 3. Let k be q(2). Let y be (-4)/1*k/(-4). Calculate the least common multiple of 1 and 11 - 1 - y/5.
11
Let t be (-28580)/(-5472) - 5/45. Let h = 1/76 + t. Find the common denominator of -27/5 and h.
40
Suppose 0 = -4*f + 3 + 5. Let y = 1766 + -1762. Calculate the least common multiple of f and y.
4
Let g(y) = -10 + 7 - 2*y - 3*y + y**2 + 5. Let k be g(5). Find the common denominator of -53/4 and (33/(-22))/(k/18).
4
Suppose -a - a = -4*p - 2, -3*p - 4 = -4*a. Suppose -2 - a = -3*c. Calculate the least common multiple of 9 and c.
9
Calculate the lowest common multiple of ((-56)/42)/(-2 + (-321)/(-162)) and 24.
72
What is the common denominator of 4*15/(-24)*145/(-200) and 75/166?
1328
Calculate the smallest common multiple of 60 and ((-240)/(-9))/(4/36).
240
Let f(h) = h**3 + 4*h**2 - 3*h + 4. Let t be f(-5). Let s be (-6)/(-3)*(-45)/10. Let o = t - s. Calculate the lowest common multiple of 1 and o.
3
Let j = -817/32 + 28383/1120. Find the common denominator of j and 71/175.
1400
Let f = 46 - 17. Let l = -23 + f. Let o = 15 - -3. Calculate the lowest common multiple of o and l.
18
Suppose -2*n - 76 = -3*d - 0*n, -2*d + 2*n = -54. Let s(v) = -2*v + 10. Calculate the lowest common multiple of d and s(-2).
154
Let f be 56/(3 + 3/(-3)). Suppose -t - 2*z + f = 3*z, -5*z = 4*t - 52. Find the common denominator of t/(-28) + (-1293)/(-42) and -19/10.
10
Let s be (-15883)/24955 - 3/(-5). Let l = s + 69421/7130. What is the common denominator of 45/8 and l?
40
Suppose -4*s + 13 = 5*c - 4, 5*s + 5*c - 25 = 0. Suppose -k = -2*r + 6, 5*r - 1 = -k + 28. Calculate the least common multiple of s and r.
40
Calculate the common denominator of -95/162 and 12/(-36)*(-121)/(-12) + 3.
324
Let n = -1454 - -1499. Calculate the lowest common multiple of 5 and n.
45
Let t = -18 - -20. Suppose 3*r - 182 = t*y, 2*y + y + 244 = 4*r. What is the lowest common multiple of 4 and r?
116
Suppose -4*i - 3*i + 9275 = 0. Let o = i + 1401. Let g = o - 21907/8. Find the common denominator of 33/32 and g.
32
Calculate the common denominator of (3630/(-432))/5*-2 and 143/72.
72
Let c(h) = -4*h**2 + 8*h + 1. Let o be c(-7). Let r = o + 131. Find the common denominator of -45/11 and (-1670)/r - (-2)/(-3).
44
Suppose 2*r = -10 + 2, -5*w + 3*r = -27. Calculate the smallest common multiple of w and (-1)/2 - (-23)/2.
33
Let l be 13/(-13)*(-1 - 4). Suppose -4*y = 4*g + 8, l*g + 20 = 5. Let r(h) = -2*h - 1. Calculate the smallest common multiple of r(-5) and y.
9
Let q be 2/(133600/(-66844) + 2). Let i = -1523 + q. What is the common denominator of i and (-3 + 13)/((-24)/10)?
66
Let b = -144667/18 - -8034. Calculate the common denominator of b and -14/15.
90
Let v = 651 - 18303/28. Calculate the common denominator of 75/112 and v.
112
Let c(g) = g - 2. Let o be c(2). Let p = o + 16. Let v = 557 - 553. What is the smallest common multiple of v and p?
16
Let o = 87 - 40. Let s = 115 - o. What is the common denominator of -10*s/176 + 2 and -109/18?
198
Suppose 4*j = -8, -3*s + 3*j = -2*j - 58. Calculate the common denominator of -39/16 and ((-54)/56)/(s/32).
112
What is the common denominator of (5/60)/((-26)/(-19)) and 25/9?
936
Let o = -757/8 + 25/8. Let i = o + 114. Let q = 2468 - 19781/8. What is the common denominator of q and i?
8
Suppose -4*i + 10 + 2 = -4*m, 4 = 2*i - 3*m. Suppose -i + 12 = w. What is the lowest common multiple of w and 8?
56
Let h(x) = x**2 - 29*x + 513. What is the smallest common multiple of 24 and h(0)?
4104
Suppose -3*r + 4*f = -0*r - 844, 4*r + f - 1119 = 0. Suppose 6*q + r = 20*q. What is the least common multiple of 8 and q?
40
Let o = 93 - 66. Suppose o*j - 12 = 21*j. Calculate the lowest common multiple of 74 and j.
74
Suppose -15*h = -11*h - 40. What is the least common multiple of 20 and h?
20
Let s be 2/(-5) + 228/(-5). Let z = -64333/6 - -10698. Calculate the common denominator of z and s/20 + 1 - 1.
30
Suppose -6*h - 1 + 13 = 0. Find the common denominator of h/15 + (-313)/210 and (1/(-5))/(66/705).
154
Let y = 13/46 + 2537/138. Find the common denominator of 1/14 and y.
42
Let u(n) = 2*n**2 - 2*n + 2. Let b be u(1). Find the common denominator of (19/(-171))/(b/(-46)*1) and (-2)/(-5) - (-1233)/(-120).
72
Let f(z) = z**3 - 4*z**2 - 5*z + 2. Let a be f(5). Suppos