and -89/122.
1342
Suppose -2*j = 4*j. Suppose 5*f - 10 = -3*t, f + f - 3*t - 4 = j. What is the smallest common multiple of f and 6?
6
Calculate the common denominator of 200/120 + (2611/96)/(-7) and -37/16.
32
Let d = -2891119/500 - -23127/4. Calculate the common denominator of d and -27/5.
125
Let m = 5794/9 - 115769/180. What is the common denominator of m and 83/18?
180
Let z be (-26)/(-12) - (-4)/(-24). Let o = -4 + z. What is the lowest common multiple of (14 - 0)/(o/(-2)) and 16?
112
Let n be (-9)/(-21) + 99642/56. Let v = -2845 + 1051. Let w = v + n. What is the common denominator of 37/8 and w?
8
Let s(q) = -q**2 + 6*q - 1. Let v be s(6). Let j = -38013/10 - -3812. Find the common denominator of v + -1 + (-67)/18 and j.
90
Let a = 751 - 29288/39. What is the common denominator of a and -4/21?
273
Let r be ((-57189)/84)/(2/4). Let k = -1474 - -2831. Let a = k + r. Calculate the common denominator of a and 1/12.
84
Let o(n) = -2*n - 5. What is the smallest common multiple of o(-7) and 3?
9
Calculate the common denominator of 4 - 332/96*3 and -47/42.
168
Suppose -5*u = -56 + 6. Find the common denominator of 226*(6 - (-284)/(-48)) and u/16*(-60)/(-2).
12
Let v be 2 + -5 - (2 - 78). Let k = 42 - v. Let j = -19 - k. Calculate the smallest common multiple of j and 22.
132
Let o be 108/14 - (-6)/21. Suppose -o = -u - 0*u. Let b = u - 4. What is the smallest common multiple of 2 and b?
4
Find the common denominator of (111/8)/((462/4)/(-11)) and ((-18)/(-8))/(18/(-15)).
56
Let q(r) = -r**2. Let t(y) = y**3 - 2*y**2 - y + 17. Let a(z) = 5*q(z) + t(z). What is the least common multiple of a(7) and 9?
90
Let i = -38 - -46. What is the smallest common multiple of i and 36?
72
Let p = -153 + 173. What is the lowest common multiple of p and 134?
1340
Suppose 4*g + 0 - 16 = 0. Suppose 34 = z + g. What is the lowest common multiple of 10 and z?
30
Let b(d) be the third derivative of d**5/60 - 17*d**4/24 + 3*d**3 - d**2. What is the least common multiple of b(16) and 14?
14
Let t = -1/11882 - -101057/712920. Calculate the common denominator of 47/3 and t.
120
Suppose 0 = 2*h + 1194 + 1116. Let b be (-1)/(-4) + h/(-84). What is the least common multiple of (360/63)/(4/b) and 18?
180
Suppose 2*z - 3*y - 13 - 18 = 0, -2*z = -4*y - 36. Suppose z*o = o + 35. What is the least common multiple of o and 13?
65
Let k = 8/643 - 46987/3858. Find the common denominator of k and -13/75.
150
Let v be 1/((-1)/(-2) + 0). Suppose 2*p + 3*u - 10 = 0, p = -0*p + 5*u - 8. Suppose -p*m = v*m - 44. Calculate the smallest common multiple of m and 8.
88
Calculate the least common multiple of ((-28)/(-56))/(((-28)/(-72))/7) and (9/(-4))/((-2)/8).
9
Let f be (0 + -2)*27/(-6). Suppose -5*n + f = -91. Let h(u) = -u**3 - 5*u**2 + 7*u + 18. What is the least common multiple of h(-6) and n?
60
Suppose -2*k = -3*r + r + 346, -9 = 3*k. Let h = r + -1667/10. What is the common denominator of 61/16 and h?
80
Suppose 0 = -3*p + 3, -w + p = -20 - 9. What is the smallest common multiple of w and (-2 - (-3)/3) + 16?
30
Suppose 0 = u - 2*r - 2, -5*u - 4*r = 3 - 27. What is the least common multiple of u and 554?
1108
Suppose -3*q + 168 = v + 3*v, -3*q = -3*v + 105. Suppose -3*a - 9 = -v. Suppose 42 = 2*i + a. What is the lowest common multiple of 8 and i?
16
Let l(s) = s**3 - 17*s**2 + 22*s - 46. Calculate the lowest common multiple of 12 and l(16).
300
Let b = -249916/68739 + -4/6249. What is the common denominator of b and 9/19*-4 + 0?
209
Let g = -83 + 79. Let z(r) = r**2 + 3*r - 3*r - 2. Calculate the smallest common multiple of z(g) and 22.
154
Find the common denominator of 94/15 and -6 - -12 - (-14028)/(-2460).
615
What is the common denominator of -115/286 and (-7011)/(-630) - 9/21?
1430
Let d = -290798203/1371590 - 1735/12469. Let m = 1076/5 + d. Let j = -8387/140 + 454/7. What is the common denominator of j and m?
220
Let m = 232 + -801. Let p = m + 1756/3. Let r = -1/672 - 10415/672. Find the common denominator of r and p.
6
Let g(i) = 3*i**2 - 6*i - 5. Let t(q) = -8*q**2 + 18*q + 14. Let x(r) = -11*g(r) - 4*t(r). Let d = -15 - -10. What is the least common multiple of 13 and x(d)?
52
Suppose -5*q + f = -2*f - 20, 4*q - 16 = -5*f. Let z(k) = -2*k - 8. Let h be z(-6). Suppose -9*j - h = -11*j. What is the smallest common multiple of q and j?
4
Let f = 36 - 32. Let k = 8 - f. Calculate the lowest common multiple of 20 and k.
20
What is the lowest common multiple of 22/(-3)*(-12)/8 and (-14)/(-10)*10/2?
77
Suppose -676 = -9*z - 253. Let j = z + -31. Let k(p) = p**3 - 5*p**2 - 6*p + 8. What is the least common multiple of j and k(6)?
16
Let y be 1/(-2)*(-162)/8. Let m = y - 1119/88. Calculate the common denominator of (-602)/126 + 4/(-8) and m.
198
Find the common denominator of -67/66 and (-82)/10*70/(-252).
198
Let y = -25 + 31. Let g be 12*(3 - 14/y). Suppose -2*c - g = 0, -3*b - 3*c = -4*c - 16. What is the smallest common multiple of b and 46?
92
Let c = -336 - -3034/9. Let o = -2131331/294 + 21751/3. What is the common denominator of o and c?
882
Let w(j) = -2*j**2 + 11*j. Let p be w(-11). Let f = 1806/5 + p. Let m = -423 - -4676/11. Find the common denominator of f and m.
55
Let h = -8879/5 - -1764. Find the common denominator of -20/23 and h.
115
Let f = 61909/9 - 6871. Find the common denominator of f and -7/88.
792
Let c(h) be the first derivative of h**4/2 - 4*h**3/3 + 2*h - 12. Calculate the least common multiple of c(2) and 8.
8
Suppose 0 = -z - 21*z + 14168. What is the lowest common multiple of 20 and z?
3220
Let p = 24 - 45. Let t = 27 + p. Calculate the smallest common multiple of t and 7.
42
Let x = -17 - -22. What is the smallest common multiple of 2/(-5) - 7/(-5) and 12 - 0 - (-1 + x)?
8
Let h be 50496/19930 - (10 + -11). Let w = -2/5979 + h. Calculate the common denominator of w and 5/33.
165
Let f(h) = h**2 - h - 1. Let d be f(8). Suppose -3*k + y + 55 = 0, 7*k = 3*k + 5*y + d. Calculate the least common multiple of k and 10.
20
Let h = -239/5 - -198/5. Find the common denominator of h and 131/6.
30
Let o be 777594/(-192294) - -2*1. Let z = o - -8/1187. Calculate the common denominator of z and 58/9.
27
Suppose 2*x + 8 = x. What is the common denominator of ((-159)/(-14))/(x - -5) and 125/12?
84
Suppose 3*m = -2*m + 30. Let z(y) = -2*y**2 + 19*y - 39. Calculate the smallest common multiple of m and z(6).
6
Let i = -38555/8 - -4807. What is the common denominator of (-1)/4*177/12 and i?
16
Let u = 48 - 8. Suppose 11*q = -20*q + 496. Calculate the lowest common multiple of q and u.
80
Let s = -662 + 854. Calculate the smallest common multiple of s and 24.
192
Let p be (-2)/11 - (-1560)/(-11). Let h be (4 + -5)/(p/(-22)). Let f = h - 3249/568. What is the common denominator of f and 137/6?
24
Find the common denominator of 79/15 and 7/((-147)/87)*(-1)/(-5).
105
Let z = -21173 - -1397303/66. What is the common denominator of z and 107/6?
66
Let n(g) = -g**3 + 10*g**2 + 14*g - 33. Let y be n(11). Suppose -h + 2*v = 3*h - 122, y = -3*v - 3. What is the lowest common multiple of 22 and h?
330
Let k(f) = 8*f**3 - 4*f**2 + 2*f + 2. What is the lowest common multiple of k(1) and 304?
304
Let u be (-534 - 8)/(2/1). What is the common denominator of 20/70 + u/(-7) and -3 - -3 - (-210)/9?
3
Let j = 163 - 283. Let i be ((-12)/15)/((-6)/j). What is the smallest common multiple of (12/(-4) - i) + -3 and 8?
40
Let l(q) = -2*q - 4. Let r be l(5). Calculate the common denominator of -71/2 and ((-13)/r)/(1/(-9)).
14
Let p be (8/(-6))/((-4)/6). Suppose k - p*k - 14 = -3*s, 15 = 4*s - 5*k. What is the smallest common multiple of 1 and s?
5
Let j = -17 - -20. Suppose 16 = -j*d + 97. What is the smallest common multiple of d and 36?
108
Let v = 2/5231 - 5963/1914546. What is the common denominator of v and -23/20?
3660
Calculate the common denominator of 35/16 and (1 - 105203/146718) + (-2)/11.
5616
Let j = -2/22031 - 1167601/462651. What is the common denominator of 65/56 and j?
168
Let i(c) = 3*c**2 + 2*c - 2. Let n be i(2). Calculate the common denominator of -55/18 and (2 - (-286)/(-126))/(n/21).
126
Let r = -5547241/72 + 77043. What is the common denominator of 83/64 and r?
576
Suppose 0 = 3*a - a - 5*i - 1062, -i = -2. Let d be 78/(-45)*609/2. Let m = d + a. Calculate the co