t**2 + t - 1. Let i be k(1). What is the common denominator of ((-1)/i)/((-32)/(-606)) and d?
48
Suppose -38 = -5*h - y + 17, 2*y + 20 = 3*h. What is the lowest common multiple of h and 2?
10
Let y be (6/7)/((-1)/(-7)). Let u = -96965/14 + 6929. Calculate the common denominator of ((-3)/y)/(1 - -3) and u.
56
Suppose 3*c + 75 = 3*u - 6*u, 45 = -2*u - 3*c. Let m = -20 - u. Calculate the smallest common multiple of m and (-10)/(-25) + 18/5.
20
Suppose -2 = 3*s - 4*s. Suppose i - 10 = m - 6*m, -s*m - 23 = -5*i. Suppose -5*r = 4*k + 2, m = -r - k - 0. What is the lowest common multiple of 5 and r?
10
Let m = 66/149 - 7067/1490. Find the common denominator of 83/10 and m.
10
Let f(b) = -17*b + 1. Let c be f(-5). Calculate the common denominator of c/(-18)*-1 + 0 and -13/4.
36
Let g(w) = -w + 1. Let k be g(-2). Let x(b) = -b**3 - 13*b**2 - 22*b - 2. Let r be x(-11). Calculate the least common multiple of -2*k/r*1 and 4.
12
Suppose -5 = -3*r + 1. Let x be r*((-30)/(-4))/(-5). Find the common denominator of -6*((-27)/(-4))/x and 13/18.
18
Let p be ((-933)/12)/((-4599)/326). Let r = p - -1193/146. Let g = -116/7 + r. What is the common denominator of g and 91/8?
72
Let g be (3 - 0)/(6/44). Suppose 5*q - 38 - g = 0. Suppose 3*f - 2 = 2*f. What is the least common multiple of q and f?
12
Let v(m) = -3*m + 1. Let k = -2 + 4. Let y be v(k). Let b = -3 - y. What is the smallest common multiple of 20 and b?
20
Calculate the least common multiple of 11 and (4/4)/(2/26).
143
Calculate the smallest common multiple of 11 and (-2 - -1)*1 - -7.
66
Let z = 31/11 + 54/55. Find the common denominator of z and 121/10.
10
Let f(m) = m - 11. Let k be f(5). Let y = k - -2. Calculate the smallest common multiple of (-1)/y - (-33)/12 and 2.
6
Let l = -20 - -26. Suppose -5*k = -5 - 10. Suppose 0 = s + k*i - l*i + 10, -5*s + 6 = -i. Calculate the lowest common multiple of 4 and s.
4
Let j be 0*(-3)/(-9) - -2. Suppose i - 2*d + 0 - 11 = 0, j*i - 3*d = 17. Calculate the smallest common multiple of 16 and (-7)/(-1) + (0 - i).
48
Suppose -33 - 39 = -4*z. Calculate the lowest common multiple of 2 and z.
18
Suppose 3*d - j = 136 + 714, -2*d = -5*j - 545. Find the common denominator of -97/8 and 0 + 0 - d/(-48).
16
Let k = 14 + -8. Calculate the lowest common multiple of 3 and k.
6
Suppose 2*q - 5*z - 35 = 0, 2*z + 140 = 5*q - 0*q. What is the least common multiple of q and 12?
60
What is the common denominator of -49/30 and 11/(-165)*26/(-4)?
30
Suppose -5*b - 8 - 67 = 0. Calculate the common denominator of -63/10 and (18/7)/((-10)/b).
70
Let c(p) = -p**3 + 3*p**2 + 3. Let z be c(3). Suppose -4*t = -z*t + 5*f + 365, 1941 = -5*t + 4*f. What is the common denominator of 27 and ((-2)/14)/(6/t)?
6
Let q = -5 + 17. Suppose -3*d + 0*d = -q. Suppose 4*s + 20 = 6*s. Calculate the least common multiple of s and d.
20
Let g = -19960/11 - -1818. Let d = 2315 + -6872/3. Find the common denominator of d and g.
33
Suppose 0 = o - 4*z + 9, -z - 4*z = -o - 13. What is the lowest common multiple of o and 8?
56
Let m be (4/(-12))/(1/(-9)). Suppose 0*r + 24 = m*r. What is the least common multiple of r and 1?
8
Let t(j) = -j**3 + 4*j**2 + 2*j - 5. Let x be t(4). Suppose b = -x*c + 180, 121 = b - 5*c - 59. Find the common denominator of 99/10 and 1742/b + (-2)/(-9).
10
Let c be (-2 - 2 - -1) + -1. Calculate the smallest common multiple of (c + 2)/((-3)/6) and 7.
28
Let b = 102412/5 + -864261/40. Let y = 1126 + b. Find the common denominator of 35/3 and y.
24
What is the common denominator of (-43)/(-4) + (-66)/(-99) and 63/44?
132
Suppose -3 = -2*h + 1. Calculate the lowest common multiple of 2 and h/3 + 22/3.
8
Suppose 0 = -4*k + 13 - 5. Let t be ((-1)/(-2))/((-1)/k). Let a = t - -13. Calculate the lowest common multiple of 8 and a.
24
Let y(u) = 16*u + 2. What is the lowest common multiple of 10 and y(1)?
90
Let v be (-85479)/9*(-51)/(-133). Let n = 3642 + v. Let p = n - 2015/532. Calculate the common denominator of 87/2 and p.
4
Let t = -25 - -61. Calculate the least common multiple of t and 2.
36
Let y = 83 + -79. What is the lowest common multiple of y and 2?
4
Let v = -85/22 - -537/176. Let l(f) = -f**3 + f**2 - 24. Let d be l(0). Find the common denominator of (-5)/(-20) - (-410)/d and v.
48
Let p = 1 - 1. Calculate the common denominator of 0 + -4 + 1001/44 and p.
4
Calculate the least common multiple of 22 - 1 - 2/4*-6 and 6.
24
Let r(s) = 6*s + 91. What is the smallest common multiple of 6 and r(-6)?
330
Let f = 5 - 3. Suppose 5*g + 7*n = 3*n + 38, f*g = -3*n + 18. What is the smallest common multiple of (-4)/(4/3) + 23 and g?
60
Calculate the least common multiple of 30 and (-9 - -4)*(-6)/10.
30
Let j = 2 - -26. Find the common denominator of (-3)/j*-68*1 and -1/3.
21
Suppose 249 = -4*q - y, -8*q = -4*q - 4*y + 264. What is the common denominator of (6/q)/(8/666) and -113/10?
70
Let m = 21137 - -20841. Let k = m - 81963/2. Let v = 977 - k. Find the common denominator of v and 97/2.
2
Let m = -230623/16 - -14408. Find the common denominator of m and -31/44.
176
Calculate the common denominator of (148/(-9))/(6 - 4) and -52/3.
9
Let s = -1 + 1. Suppose 5*k = -3*o + 68, s = -4*o + 2*k + 13 + 43. What is the smallest common multiple of 14 and o?
112
Let t = -12503/6000 + 8/375. Calculate the common denominator of t and -31/4.
16
Let p(l) = -l**3 + 8*l**2 + l - 11. Let v be p(8). Let q = -5562 - -33287/6. Calculate the common denominator of (-22)/(-8) - v/9 and q.
12
Let r = 2/3461 + 183429/6922. Find the common denominator of -18/5 and r.
10
Suppose -i = -3*j - 146, 5*i - 35 = 5*j + 225. Let w = 1753 - 13953/8. Find the common denominator of j and w.
8
Suppose 3*t - 40 = -3*i + 2*t, -3*t + 3 = 0. Let r = i - 7. Calculate the smallest common multiple of 6 and r.
6
Let d = -5262 + 7848. Let p = d - 46633/18. Let g = 1039/2 - 505. Find the common denominator of g and p.
18
Let c be (-16)/12*3/(-2). Calculate the smallest common multiple of 8 and -3 + 3 - (-28)/c.
56
Let k(j) = 171*j**3 - 2*j**2 - 3*j - 2. Let x be k(-5). Let i = x + 428347/20. Let f = 95/2 - 56. What is the common denominator of i and f?
20
Let d(r) = r**3 + 5*r**2 - 2*r - 6. What is the lowest common multiple of 11 and d(-5)?
44
Let t(w) = -2*w - 4. Let o be t(-4). Suppose 1404 = 3*n + 2*u, -o*n + 2456 = -5*u + 561. What is the common denominator of -81/8 and n/24 + 4/6?
8
Suppose -5*d + 1 = -v, -d - 4 = -3*v + 7. Suppose c + v*c = -30. Find the common denominator of (3/6)/(c/134) and -143/12.
12
Let z = -30 + 37. Calculate the lowest common multiple of z and 8.
56
Let p(j) = -j + 4. Let w be p(0). Suppose 4*y - t - 47 = w*t, -4*y + 29 = t. Suppose 4*g - 2*g = 16. What is the lowest common multiple of g and y?
8
Suppose -z + 2 = -3. Suppose 20 = 5*l - 15. What is the smallest common multiple of z and l?
35
Let v = 15707/16 + -981. What is the common denominator of v and 169/120?
240
Suppose o = 2*o - 2. Suppose p + q = 17, 31 = o*p + 2*q + 3*q. What is the lowest common multiple of (p/(-15))/((-4)/10) and 8?
24
Let r = 8 - -54. What is the least common multiple of (6*-1)/(186/(-434)) and r?
434
Let p be 8/12 + (-148)/(-3). Let i = 36029/22 + -1634. What is the common denominator of p/4*(-58)/60 and i?
132
Suppose 3 = 3*b - 9. Suppose -3*f = -f + 18. Calculate the lowest common multiple of (0 - -4)*f/(-12) and b.
12
Let r(n) = 3 - 5 - 4*n + 4. Let u be r(2). Calculate the least common multiple of 15 - 0 - (u - -5) and 12.
48
Let w = -40091/6370 + -4/637. Let r = -3/40 + w. Find the common denominator of r and (-14)/(-4)*11/(-4).
8
Let m = 1509 + -10519/7. Calculate the common denominator of m and 35/11.
77
Let m be 16/(-6)*(-9)/6. Suppose -m*p = p - 5. What is the lowest common multiple of p and 3?
3
Suppose -p = -4*o + p + 36, -5*o + 23 = 3*p. Let y(w) = 3*w - 10. Calculate the lowest common multiple of 6 and y(o).
66
Suppose a - 8 = -0*a. What is the least common multiple of 9 and a?
72
Suppose 2*q - 6*q = -6060. Let o = 168 + -1663/10. Calculate the common denominator of o and q/350 - (-3)/(-7).
10
Suppose -4*r = -8, 3*r - 8 = -5*j + 13. Suppose -j*b = -4*b + 4. Calculate the lowest common multiple of b and (-4)/3*(-9)/6.
4
Let i = 9 - -9. Calculate the smallest common multiple of i and 2.
18
Let k = -599/30 - -22/15. Let 