4
Let y(i) = 2*i - i + 0*i + 0*i. Calculate the least common multiple of y(4) and 8.
8
Let y = -581/4 + 166. Suppose -4*c + 1 = 9, 4*c = 4*l - 24. What is the common denominator of y and -29*(-1)/10 + l?
20
Let q = -13 - -9. Let i = 1031/682 + 56/31. Calculate the common denominator of (-23)/(-20) + (q - -2) and i.
220
Find the common denominator of 28/15 - (-20)/5 and 44/39.
195
Let k be ((-1)/(-8))/((-21)/81). Let j = -1920083/28 - -68583. Let i = j + k. Find the common denominator of i and -65/4.
8
Suppose -2*c = -4*o - 8, 0*c + 4*c - 16 = 3*o. Suppose t = 12 - o. Suppose 0 = -3*m + 5*m - 24. What is the least common multiple of m and t?
12
Let u(h) = 3*h**3 + 3*h**2 + 3*h + 3. Let i be u(-2). Let j = 520/9 + -7109/126. Find the common denominator of (-231)/i*(-2)/(-8) and j.
140
Let d(f) = -5823*f + 3. Let z be d(2). Let s = -232937/20 - z. Find the common denominator of 81/16 and s.
80
Suppose 0 = 4*l - 9 - 3. Suppose l*d - 9 = 2*d. Suppose -2*h + 8 = -n - 4*h, 2*n - h - d = 0. Calculate the least common multiple of n and 8.
8
Suppose -l = j - 14, 4*j - 17 = 3*l + 11. Let s = 359 - 350. Calculate the lowest common multiple of s and j.
90
Let j(p) = p - 4. Let u be j(10). Suppose -4*n + 34 + u = 0. What is the least common multiple of 40 and n?
40
Suppose -3*r + 53 = -1. Calculate the lowest common multiple of 14 and r.
126
Let o = -104 + 60. Calculate the common denominator of o and 993/270 + (-4)/(-18).
10
Suppose -4*d + 12 = -24. Let a = d - 4. Suppose -2*f = -a*f + 21. Calculate the lowest common multiple of 3 and f.
21
Find the common denominator of (11/12)/((-5)/4) and -38/55.
165
Let u = 23281/8 + -2901. Let q = 20441/14 - 1459. What is the common denominator of q and u?
56
Suppose -2*f + 39 = -5*z, z + 0 = -3. What is the lowest common multiple of f and 20?
60
Let r = 1815 + -16310/9. Suppose -u = -0*u + 8. Find the common denominator of (-50)/(-8) + (-2)/u and r.
18
What is the lowest common multiple of 18 and -2 + 8 + (0 - 0)?
18
Suppose 57440 = 3*v + 4*x, 0 = 2*x - 0 + 8. Let q = 268243/14 - v. Calculate the common denominator of q and 2 + 4 + (-138)/(-4).
14
Let f(t) = -3*t + 5. Let w = -8 + 3. Calculate the smallest common multiple of f(w) and 16.
80
Let z = 568/5 - 1169/10. Calculate the common denominator of z and 1407/(-28)*(-2)/18.
60
Let h be (-4)/(-16) - (-158)/8. Calculate the smallest common multiple of 6 and 28/(-5)*h/(-8).
42
Suppose 0 = -4*x - 4*k + 40, 3*k = 5*x - 13 - 5. What is the lowest common multiple of 18 and x?
18
Let t = -38 + 70. What is the smallest common multiple of t and 44?
352
Suppose -2*q - 5*x = -23, 3*q - x - 3 = 6. Suppose -23 = -3*h + 2*g, 44 = q*h - 2*g + 6*g. What is the smallest common multiple of 7 and h?
63
Let g = -51 - -73. Let t(f) = -f**2 - 11*f - 4. Let i be t(-10). Calculate the least common multiple of g and (8/i)/((-4)/(-66)).
22
Suppose 30 = -0*f + 3*f. Let s = -2 + f. Suppose -4*m + 8 = -4*x, -m + s = 3*m + 4*x. What is the least common multiple of 20 and m?
20
Let r = 7 - 2. Suppose -a - r*m - 26 = 3*a, 0 = 5*a - 5*m + 10. What is the lowest common multiple of (a/8)/((-1)/4) and 16?
16
Suppose x = 5*x - 16, -18 = 3*a - 3*x. Calculate the common denominator of (-290)/(-36) + 2*-1 and (-96)/10 + (-1)/a.
90
Suppose -368 = -3*l + 592. Suppose 3*i + i = l. Suppose -i = -4*g - g. Calculate the smallest common multiple of 20 and g.
80
Let n(v) = v**2 + 20*v + 10. What is the smallest common multiple of n(-20) and 6?
30
Suppose -11 - 244 = -5*g - 5*u, 0 = 4*g + 3*u - 201. What is the common denominator of 4/(-10) - (-161)/(-110) and ((-292)/g)/((-2)/6)?
44
Let t(w) = -w**3 + 5*w**2 - 6*w + 9. Calculate the least common multiple of 7 and t(2).
63
Let c = -40 - -43. Calculate the least common multiple of c and 11.
33
Let k(v) = v**3 + 4*v**2 + 4*v + 4. What is the smallest common multiple of 11 and k(-2)?
44
Let u = -284 - -668. Let b = -61921/11 + 5633. What is the common denominator of b and u/54 + 0/1?
99
Let i = -1232 + 13579/11. Find the common denominator of 663/120 + 2/(-5) and i.
88
Let x = 41 + -29. Let a be 5062/11 - x/66. What is the common denominator of 47/4 and (4/16)/(18/a)?
36
What is the common denominator of (-35)/(-56)*(-78)/(-10) and -3 + 3 + (-7)/(-6)?
24
Let a = 6798057 - 938137745/138. Let m = a + 608/23. What is the common denominator of m and -101/16?
48
Let q = 9 - 6. Calculate the smallest common multiple of q and 1.
3
Let n(i) = 2*i**2 - 2*i + 3 + 11 + 12*i - 3*i**2. Calculate the lowest common multiple of 9 and n(11).
9
Suppose -s + 2329 = 5*n, -2*s + 0*s - 468 = -n. Let o = 1789/4 - n. What is the common denominator of o and -85/2?
4
Suppose 95 = 5*p - 2*r + 35, r - 75 = -5*p. Let z(d) = -d**3 + 5*d**2 + d - 2. What is the smallest common multiple of z(2) and p?
84
Let b(i) = -7*i + 5. What is the common denominator of -101*(2 + -3)/4 and b(4)?
4
Let l(j) = -6 - 3*j**2 - j**2 + 8*j - 2*j + j**3. Calculate the smallest common multiple of l(4) and 18.
18
Let k = 877/261 - 120/29. Calculate the common denominator of k and 3/5.
45
Suppose 0 = -f - 6 + 17. Calculate the least common multiple of (-6 - 1/(-1))/(-1) and f.
55
Let c = -41206 - -76632. Let h = c - 15445747/436. Let d = 23685/3052 - h. Calculate the common denominator of -65/22 and d.
154
Suppose 4*t - 3*s = 242, 0*t = 2*t - 3*s - 118. Calculate the lowest common multiple of t and 10.
310
Suppose 5*i - q = 1523834, i - 3*i + 609544 = -3*q. Let c be 87104/i - (-2)/(-7). Let j = -2721161/391842 + c. Find the common denominator of j and 29/22.
198
Let l = 25 + -15. Calculate the smallest common multiple of 1 and l.
10
Let d = -29 + 49. Calculate the lowest common multiple of d and 8.
40
Let g = 25 - 13. What is the common denominator of 714/(-10)*(-2)/(-24) and 3 - (-2 + (-231)/g)?
20
Let q(d) = -12*d + 4. Let y be q(-3). Suppose -2*g + 0*g + y = 0. What is the lowest common multiple of g and 14?
140
Find the common denominator of -34/5 and -1*((-2684)/24)/11.
30
Let a = -135925/27 + 5033. Calculate the common denominator of a and -101/4.
108
What is the least common multiple of ((-16)/5)/((-2)/5) and 1/4 + 63/4?
16
Let t(c) = c + 5. Calculate the smallest common multiple of 5 and t(8).
65
Let a(d) = d + 20. Calculate the least common multiple of 142 and a(-6).
994
Suppose 0 = 4*d - 2*c + 3*c - 20, 5*c = 2*d + 12. Calculate the smallest common multiple of d*2 + (-2)/1 and 6.
6
Let i(l) = -l**3 - 16*l**2 - 29*l - 11. Calculate the lowest common multiple of 62 and i(-14).
186
Suppose -q - 3*q = 1381409104. Let n = 931069715155/2696 + q. Let b = n + 48/337. Calculate the common denominator of -21/5 and b.
40
Let z(x) = x + 1. Let a be z(1). Let u(h) = -1 + 6*h + 10 - a + h**2. What is the least common multiple of u(-5) and 16?
16
Let t = -5364959359/4142115 - 4/460235. Let r = t - -1290. Calculate the common denominator of r and 93/10.
90
Let h = 15701/4 - 3945. Calculate the common denominator of h and 119/6.
12
Let o = 2905081/624740 - 2/31237. Find the common denominator of o and 39/2.
20
What is the common denominator of 69/20 and (-3)/(-25)*(-280)/16?
20
Let b(l) = l + 63. Calculate the smallest common multiple of b(-19) and 22.
44
Suppose 128 = -2*u + 6*u. Let w = -9659/1445 - 9/578. What is the common denominator of w and (-268)/(-3)*2/u?
60
Let v(a) = -5*a**2 - 10*a + 7. Let o(i) = 6*i**2 + 11*i - 7. Let l(b) = 4*o(b) + 5*v(b). Calculate the least common multiple of l(-6) and 4.
28
Let z = 51887 - 29419939/567. Let d = 29951/5670 - z. Let g = -2035 + 3981/2. What is the common denominator of d and g?
10
Let q = 6 - 7. Find the common denominator of 3 + q + 385/84 and -11/8.
24
Let t = 11 + 75. What is the common denominator of (-2 - -3)/(-4)*t and (-50)/28 + 1 + -1?
14
Suppose 4*b = -2*y + 450, -5*y = -0*b + 5*b - 575. What is the least common multiple of 14 and b?
770
What is the least common multiple of -2 + (-39)/(-1 - 2) and 18?
198
Suppose 0 = -3*w - 2*w + 70. Suppose 0 = -4*o - 3*o + 98. What is the least common multiple of o and w?
14
Let z(k) = -k + 5. Let l be z(-6). Suppose 0 = -2*i + l + 7. What is the smallest common multiple of i and 3*(-4)/3 - -6?
18
Let w be (-75)/(-12) - 3/(-4). Suppose 2*t + q = 39, w*t = 2*t + q + 87. Calculate the least common multiple of (-4)/t - 330/(-27) and