ate the least common multiple of 9 and p.
81
Let i = 198371 - 1186115/6. Let y = i + -671. Calculate the common denominator of 0 + -1 - 276/32 and y.
24
Let b = -9 + 29. Let n = -12 + b. Let d(a) = -3*a - 2. What is the smallest common multiple of n and d(-4)?
40
Let m = 487 + -1967/4. Suppose 4*o - 8*o = -100. Find the common denominator of m and ((-215)/o)/((-8)/5).
8
Let u be (-28715)/30*6/(-28). Let w = 342854/7 + -49160. Let v = u + w. Find the common denominator of 27 and v.
4
Let l = -26109 + 52929. Let p = 482885/18 - l. Find the common denominator of 9/28 and p.
252
Let u(s) = s**3 + 9*s**2 - 5*s - 27. Calculate the lowest common multiple of 28 and u(-8).
308
Let z = -1068 - 574. Let d = -45909/28 - z. Let j = -109/3 + 43. Find the common denominator of d and j.
84
Let i be 1/4 + 4/(-16). Suppose 20*w - 15*w - 180 = i. Suppose 0*z = 3*z + 5*p - 68, -3*z + 3*p + w = 0. What is the lowest common multiple of z and 10?
80
Suppose 0 = 5*n + 20, 7*t - 2*t = -n + 126. What is the smallest common multiple of t and 6?
78
Suppose -u - 4*h = -6, -2*u + 0*u = -4*h. What is the lowest common multiple of 14 and 348/24 + (-1)/u?
14
Suppose 3*j - b = 23, 4*j + b - 5*b = 44. Let z be (-2 + j)*(-1239)/(-12). What is the common denominator of -151/18 and (z/(-84))/(-2 + 1)?
36
Let w = 1/11157 - 769969/1517352. Calculate the common denominator of w and 39/10.
680
Suppose -5*u = -k - 43, -4*k - 23 = -u - 3. Calculate the smallest common multiple of u and 12.
24
Let z = 606 - 966. What is the common denominator of 1896/(-1440) - (-1)/3*-1 and 724/z - 2/(-5)?
180
Let x be ((-6)/4)/((-19)/380). Suppose y = -4*y + x. What is the lowest common multiple of 9 and y?
18
Let j be 0 + (2 - (-4 + 1)). Suppose 2*q = q - j. What is the smallest common multiple of 304/40 - 2/q and 8?
8
What is the common denominator of 67/8 and ((6 + 34)/5)/((-38)/5)?
152
Let s(u) = 5*u**3 + 3*u**2 - 7*u + 12. What is the lowest common multiple of s(2) and 10?
50
Let w(i) = -18*i - 3. Let g(c) = 27*c + 4. Let n(l) = 5*g(l) + 7*w(l). What is the common denominator of n(-1) and 39/16?
16
Let f be ((-103)/(-5))/(3/(-33)). Let t = f - -225. What is the common denominator of 2 + -8 + 234/(-91) + 11 and t?
35
Let p(v) = 0*v + 2*v + 9 - 2*v + 2*v. Calculate the least common multiple of 11 and p(-4).
11
Suppose d = 293 + 1451. Let v = -17481/10 + d. Calculate the common denominator of 226/60 + (1 - 2) and v.
30
Suppose i - 28 = 3*u, 5*u = 5*i + u - 85. Let x = 31 - i. Calculate the lowest common multiple of x and 8.
72
Let x = -3/169 + -11631/1690. Find the common denominator of -31/7 and x.
70
Suppose 5*b + 35 = -f + 17, -46 = -3*f + 5*b. What is the smallest common multiple of f and 8?
56
Let l = 969/2 + -448. Suppose 3*y = 3*n + 9, y - 1 = 2. Calculate the common denominator of 1 + n - (-101)/10 and l.
10
Calculate the smallest common multiple of (-4)/(-6)*(68 - 20) and 14.
224
Suppose -2*d = 3*u + 9, -3*u - 9 - 3 = d. Calculate the least common multiple of 2 and 4*4 - (u - -1).
20
Suppose h = p - 70, h = 4*p - 108 - 178. Calculate the smallest common multiple of p and 150.
1800
Let l(w) = w**3 + 5*w**2 + w + 7. Let n = -19 - -22. Suppose j - 1 = b, -n*j - b - 2 = -5*b. Calculate the smallest common multiple of l(-5) and j.
6
Let j = 2/11313 + -335635/90504. Calculate the common denominator of 36/(-80)*(0 + 2) and j.
120
Let x(k) = -k**3 - 3*k**2 + 4*k + 10. Let t be x(-3). What is the smallest common multiple of 40 and (-36)/18 + ((-76)/t)/1?
360
Calculate the common denominator of ((-535)/(-270) + -2)*47 and (-915)/280 + 3/21.
216
Let g = 24 - 46. What is the common denominator of 2 + 52/18 + 0 and (18/12)/(-3) - 97/g?
99
Suppose 0 = -17*d + 18*d + 4. Calculate the common denominator of d/18 + (-6685)/1386 and -87/2.
22
Let b(c) = c**3 - 8*c**2 - 11*c + 13. Let x be b(9). Find the common denominator of x - (375/(-46) + 1) and 49/2.
46
Let t = -3/54875 + -4554421/3731500. Find the common denominator of t and -103/6.
204
Let p = -485087/304898 - -1/13859. What is the common denominator of p and (-15)/3 - (-75)/6?
22
Find the common denominator of 149/12 and 3/10*((-34)/28 - 1).
420
Find the common denominator of (-9)/(-36)*7/(252/(-8)) and 41/30.
90
Let z(m) = -m**3 + 7*m**2 - 8*m + 2. Let q be z(6). Find the common denominator of 61/2 and (-83)/q*(-1)/(-2).
20
Let g(z) = 15*z + 1. Let l be g(1). Suppose 2*k + 4*o = l, -k + 20 = 3*k + 5*o. Suppose -2*h + h + 2 = k. Calculate the least common multiple of h and 12.
12
Let k = 5532421/27836 - 4/6959. Let p = k - 220. Find the common denominator of -54/11 and p.
44
Let v(r) = r**2 - r - 15. Let u be v(0). Let k = -16 - u. Find the common denominator of 109/14 and 2*k - 210/132.
154
Let z = 5791/14 - 414. Let k = -169/532 + 9/133. What is the common denominator of z and k?
28
Let o = -51203/2058 + 16/343. Find the common denominator of 119/6 and o.
6
Let r(n) = n**2 + 6*n + 6. Suppose 11*v + 67 - 1 = 0. What is the lowest common multiple of r(v) and 11?
66
Let g be (-1 + 2)/(12/(-13) - -1). Let r = g + -1. Calculate the lowest common multiple of 18 and r.
36
Let c be (9/(-3) + 7)/((-1)/1). What is the common denominator of -58/21 and (48/(-63))/((-1)/c)?
21
Let a(z) = 12*z**3 + 10*z**2 + 12*z - 9. Let q be a(-13). Let x be q/(-28) + 27/36. Let l = 886 - x. Find the common denominator of 13/8 and l.
56
Let t be 2/8 - (-228)/48. Let q = 23 - t. What is the least common multiple of q and 8?
72
Suppose 5*x = 24 + 6. Suppose -3*b = -4*r + 9, 3*b = -0*r + 3*r - x. Suppose 0 = -r*i + 5 + 1. Find the common denominator of i and 34/11.
11
Let u = -4200 + 126013/30. Calculate the common denominator of u and -8/33.
330
Let i = -1819 + 14509/8. Let j = -59 + 68. What is the common denominator of i and ((-492)/60)/(j/5*-1)?
72
Suppose v = -4*v - 45. Let x = 11 + v. What is the least common multiple of 4 and x?
4
Let d = -35 - -129. Let l be (-928)/14 - 6/(-21). Let s = l + d. What is the smallest common multiple of s and 18?
252
Let g(m) = m + 1 - 5*m**2 + 6*m**2 - 12*m + 3. Let h be g(9). Find the common denominator of (-411)/(-4)*h/(-189) and -59/4.
36
Suppose 4*h = o - 56, 4*o + o = 0. What is the smallest common multiple of ((-14)/(-4))/((-7)/h) and 12?
84
Let g = 38015 - 2737151/72. Calculate the common denominator of g and 163/126.
504
Suppose p + 14 = k, k + 3*p = 15 - 1. Suppose 2*x + 10 = 0, -5*x - 3 = 2*u - u. What is the smallest common multiple of k and u?
154
Let s(w) = -w**2 - 6*w - 3. Let q be s(-4). Suppose -4*c + 56 = q*i, 2*c - 9 = -i - c. What is the lowest common multiple of i and 1?
12
Suppose 142 = -5*f + 4*h, -5*f - 2*h - 69 = 55. Let k = -211/620 - 53/31. What is the common denominator of ((-178)/16)/(f/8) and k?
260
Suppose 89*q - 93*q = -4*p - 64, p = -4*q + 84. Calculate the smallest common multiple of 45 and q.
180
Let y(k) = k**3 - 5*k**2 - 5*k + 3. Let x = -16 - -17. What is the smallest common multiple of y(6) and x?
9
Let x = 143840555555/682 - 210909866. Let o = x + -2/341. Find the common denominator of -69/14 and o.
14
Let f = 29 - 24. Suppose 26 = f*p - 14. Calculate the least common multiple of 10 and p.
40
Suppose 0 = 5*f - 16598 + 15223. Calculate the lowest common multiple of 175 and f.
1925
Let w = -4/21479 + -2212097/1288740. Calculate the common denominator of -127/84 and w.
420
Let s = -13 + 25. Let l = -134 - -142. What is the least common multiple of s and l?
24
Let r = -111 + 223. What is the common denominator of -55/18 and (-1 - (-108)/r)*118/(-3)?
126
Let y = 44 - 28. Suppose 25*b = 27*b - y. Suppose 0 = 3*i - 38 - 16. Calculate the lowest common multiple of i and b.
72
Let s(o) = -3*o - 9. Let j be s(-4). Suppose -2*u - 8 = p, j*p + 5 + 4 = -3*u. Calculate the smallest common multiple of 12 and p.
12
Let n = -179 + 201. Calculate the least common multiple of 14 and n.
154
Let j(v) = 2*v**2 + v + 1. Let t be j(-2). Suppose -2*i - 36 = 2*x - 110, -2*i + x = -89. Find the common denominator of 2/t - (-646)/i and 10.
3
Let v = 707 - 465. Calculate the lowest common multiple of 132 and v.
1452
Let g = 32735/6 - 5435. Find the common denominator of -5/11 and g.
66
Let p = 449 - 438. What is the lowest common multiple of p and 2?
22
Let k(w) = 7*w**2 - 24*w + 44. Calculate the lowest common multiple of k(2) an