?
3
Let l be (-1)/69*(-1873735585758)/21180. Let q = l - 29488803/23. Let w = q + 84/353. Find the common denominator of -121/10 and w.
10
Suppose -2*n + 2*p + 34 = 3*n, 2*p + 16 = 2*n. Suppose 2*k + 2*o + 22 = 6*o, 0 = 5*k + o + 55. Let b = k + 21. What is the smallest common multiple of b and n?
30
Suppose -5*v = 25, v = -5*m - 2*v + 745. What is the common denominator of -43/10 and m/(-18)*1/(-2)?
90
Let s = 6 - 8. Let f = 12 + s. What is the lowest common multiple of f and 4?
20
Let u = 9287 + -92953/10. Calculate the common denominator of 107/10 and u.
10
Let d = -38 - -58. What is the smallest common multiple of 8 and d?
40
Let z = 32 + -1. Suppose 5*l - 131 + z = 0. Find the common denominator of -2 + 3 + 98/l and -22.
10
Suppose 2*d - 31 = 1. Suppose 3*c - 24 = 5*g - 3, 33 = 3*c - g. What is the least common multiple of c and d?
48
Suppose -2*o - 2*o + 80 = 5*y, -3*o - y + 49 = 0. Calculate the lowest common multiple of 6 and o.
30
Let v = -54 - -199. Suppose 5*n - v = -35. Suppose -2*f = 13 - 45. Calculate the lowest common multiple of n and f.
176
Let j = 4287 - 90053/21. What is the common denominator of j and -82/33?
231
Suppose -10 = 17*q - 22*q. What is the smallest common multiple of 38 and q?
38
Suppose -16*b + 9*b + 70 = 0. Calculate the smallest common multiple of b and 4.
20
Find the common denominator of (-52)/(-44) - -4 - 3 and -40/17.
187
Suppose 3*j - 5*l = 4*j + 6, -5*j - 5*l + 50 = 0. Suppose 0 = -12*z + 18*z - 96. Calculate the least common multiple of z and j.
112
Suppose -3*q = -4 - 5, -3*k = 4*q. Let m = k + 8. Suppose -m*p = 5*v - 20, -5*p - 17 = -0*v + v. What is the lowest common multiple of v and 9?
72
Let z(p) = 5*p**2 - 10*p - 4. What is the smallest common multiple of z(3) and 105?
1155
What is the common denominator of ((-2)/(-16))/(-4*21/(-1032)) and -47/10?
140
What is the common denominator of -7/12 and 3 - 2/((-18)/147)?
12
Calculate the lowest common multiple of 8/10*5/2 and ((-63)/6)/7*-4.
6
Suppose -30 = p + q, 0 = -6*q + 2*q + 4. Let z be 1959/255 + -1*2. Let x = 3/170 + z. Calculate the common denominator of x and p.
10
Suppose 107 = 3*a + 26. What is the smallest common multiple of 21 and a?
189
Let a be 1*-14*8*-1. Suppose -a = r + 3*r. Calculate the smallest common multiple of (r/10)/((-1)/5) and 10.
70
Let y(l) = 6*l + 2. Let p be y(-2). Let i = p - -11. What is the smallest common multiple of i and -18*1/(1 + -3)?
9
Let n = 5921 - 59153/10. What is the common denominator of 50/9 and n?
90
Let v = 28/423 + 17683/3384. What is the common denominator of 7/16 and v?
48
Let g be -1 + 42 + -2 + 5. Let n = 9 - 5. Suppose 0 = -6*l + n*l + g. Calculate the lowest common multiple of 20 and l.
220
Suppose 5*p - 4*x - 24 = 0, -8*p + 5*p + 15 = -3*x. Calculate the lowest common multiple of ((-4)/(-10))/((-1)/(-10)) and p.
4
Let a = -11 + 17. Calculate the smallest common multiple of (12 + -10)/(2/a) and 10.
30
Let u(n) = 3*n - 16. Calculate the least common multiple of u(8) and 5.
40
Calculate the smallest common multiple of 18 and ((-42)/35)/((-3)/((-420)/(-8))).
126
Suppose -7*l + 50 = -2*l. Let a(m) = m**3 + 10*m**2 + 9*m + 9. Let q be a(-9). Let s = 13 - q. What is the smallest common multiple of s and l?
20
Let w = -120741/72908 - 5/1657. Calculate the common denominator of w and -17/14.
308
Let o = -3609 + 64979/18. Find the common denominator of -103/14 and o.
126
Let f(p) = -p**2 - 9*p + 2. Calculate the lowest common multiple of f(-9) and 3.
6
Let n = -30 + 44. Let z(a) be the third derivative of a**5/60 - a**4/8 + a**3/3 - 2*a**2. What is the least common multiple of z(5) and n?
84
Let k be 34/10 - 24/60. Suppose 3*g - 51 = -k*z, z + 2*g = -3*z + 74. Let a = -19 + 35. Calculate the least common multiple of a and z.
80
Let t = 11 + 11. What is the least common multiple of 36 and t?
396
Suppose 2*u - 34 = -5*n - 2*u, 3*u = 5*n - 27. What is the smallest common multiple of (-155)/(-15) - 2/6 and n?
30
Let r = -366 - -1819/5. What is the common denominator of r and 4/12 + -4 - 4?
15
Let g be 11 + -3 - (0 - 2). What is the common denominator of (-863)/(-36) + g/(-45) and 97/4?
4
Suppose -10*l = -8*l - 12. Calculate the least common multiple of l and 20.
60
Suppose -a + 3*a = 4. Suppose a*c + 0*c = 4. Suppose 0*w - c*w = -2*z - 42, -3*z + 57 = 3*w. Calculate the least common multiple of w and 8.
40
Suppose 0*h - 35444 = 4*h. Let g be (389982/(-55))/((-4)/(-5)). Let f = g - h. Calculate the common denominator of f and -51/22.
22
Suppose -a = -2 - 5. Suppose 3*t - 5 = a. What is the smallest common multiple of 10 - (t*-1 + 2) and 4?
12
Let d = -11 - -17. Suppose -49 = -4*s - 5*z - 4, 3*s = -4*z + 35. Suppose 24 + 11 = s*m. Calculate the lowest common multiple of d and m.
42
Let y(m) = m**2 - 2*m + 3. Suppose -6 = -2*l - 0. Suppose b = -3*n - l*b + 46, -4*n - 2*b = -68. What is the lowest common multiple of y(5) and n?
18
Find the common denominator of ((-1)/(-4))/((-6)/(-292)) and -71/4.
12
Let n = -11470592301 - -105013272629182/9155. Let p = n + -1/1831. Calculate the common denominator of 0 + (-2)/2 - 570/(-75) and p.
5
Let c = 11 + -5. What is the lowest common multiple of c and 6/9*-3 - (-7 + -5)?
30
Let c be 4*(9/(-4) - -3). Suppose 32 = -c*k + 7*k. Calculate the lowest common multiple of k and 5.
40
Calculate the common denominator of 69/10 and 0 + -3 - (6 - 425/80).
80
What is the smallest common multiple of 1/(-3)*-9 - (-1 + -32) and 14?
252
Suppose -4*y = -0*y - 68. What is the common denominator of 8/29 and y?
29
Let y = -990 - -7857/8. Calculate the common denominator of y and (-100)/(-36) - 2/4.
72
Suppose 11 = f + 3*j - 20, 4*f - 76 = 4*j. What is the common denominator of 41/6 and (-3)/4*f/(-6)?
12
Let o = -126/13 + 1849/117. What is the common denominator of 29/4 and o?
36
Suppose k + b = -3*k + 5, 3*k + 5*b - 8 = 0. Let z be (-4)/(-10) - (-344)/40. Calculate the lowest common multiple of 2 and k/2*(z + -5).
2
Let o = -2817 - -76132/27. Find the common denominator of -29/24 and o.
216
Suppose 0 = 3*q + 125 - 428. Calculate the common denominator of (q/(-3))/(22/(-3)) and 154/8*(0 + -2).
22
Let h be 2374*(-1)/(-2 + 3). Let n = h - -47379/20. What is the common denominator of n and 61/12?
60
Suppose 4*c - 64 = 32. What is the smallest common multiple of c and 9?
72
Suppose 10 = -3*q + 5*q, 0 = -5*b - q + 20. Suppose 0 = -115*u + 121*u - 30. Calculate the lowest common multiple of u and b.
15
Let f(w) = -4*w + 75. What is the least common multiple of 15 and f(5)?
165
What is the common denominator of 47/9 and 29/(10/8*2)?
45
Let y = 2 + 4. What is the common denominator of -23/20 and 305/y*6/40?
40
Let u = -24/43 - -1171/172. What is the common denominator of 31/14 and u?
28
Suppose 2*c + 3*f - 103 = 0, -2 = 3*f - 17. Calculate the common denominator of 2 + (8/c - -2) and 71/8.
88
Let p = 13/71 - 1776/781. Find the common denominator of p and -21/10.
110
Suppose 3*o + 4*d - 1 = 0, -5*o - 4*d + 7*d = -21. Calculate the least common multiple of 18 and o.
18
Let l = 662/13 + -6089/104. Find the common denominator of 17/2 and l.
8
Calculate the smallest common multiple of 8 and (-2 - (1 + -3)) + 11.
88
What is the lowest common multiple of 10 and 360/(-10)*1/(6/(-8))?
240
Let k = -44/59 + -2569/590. What is the common denominator of k and 3/2*535/(-105)?
70
Suppose -12 = 2*r - r. Calculate the common denominator of (0 - -1) + 336/18 and 11/r + (-1)/(-4).
3
Let t = -1163/51 - -11/204. Find the common denominator of t and -23/7.
28
Let l(i) = -i**2 - 4*i + 3. Let v be l(-4). Let f be (-21094)/v + (-2)/(-6). Let d = -126427/18 - f. Calculate the common denominator of -109/14 and d.
126
Suppose 0 = 6*m - 3*m - 42. What is the smallest common multiple of m and 22*2*(-1)/(-2)?
154
Let i = 15 + -14. Calculate the common denominator of ((-777)/(-154))/(-4 + i) and 121/6.
66
Suppose 6*q = q + 45. Suppose -5*p + 25 = 5*b, p + 5 - 1 = -4*b. Suppose p = 5*g + n - 18, 3*n = 2*g - 24. Calculate the lowest common multiple of q and g.
18
Let v(g) = g**3 + 11*g**2 + 11*g + 6. Let l be v(-9). Suppose l = -w + 23. What is the common denominator of 20/11 and w?
11
Let o = 62407/32 + -1948. What is the common denominator of o and 29/22?
352
Let a = 644 - 1325/2. Let u = 2031 + -20233/10. Find the common denomin