et k be (-4569)/(-6)*16/28. Let f = k - 437. What is the common denominator of -53/18 and f?
126
Suppose -4*a - 4 = 2*y - y, -4*a = 2*y. Let u = 6 - -2. Suppose u = 4*b - 2*b. What is the least common multiple of b and y?
4
Let y = 26 + -43. What is the common denominator of (-5 - -2) + y/2 and -38?
2
Suppose -3*p = -4*i + 34, 0 = 5*i - 3*p - 31 - 13. Let r be ((-12)/i)/(1/(-30)). What is the common denominator of 81/2 and (-2)/r*1*-4?
18
What is the common denominator of 73/(-10) + (-6 - -2) and -1/28?
140
Find the common denominator of 146/(-10)*55/(-88) and -43/6.
24
Let w be (-5)/(-1) - (2 - 2). Let z = w - 2. Calculate the least common multiple of 0 - (0/2 + -2) and z.
6
Let k be -5*(-1)/(-5)*-23. Suppose -3*f + k = s, -3*s = 2*f - 5*f + 27. Calculate the least common multiple of 16 and f.
16
Let c(y) = y**2 - 1. Let w be c(-2). Suppose -w*a + 3 = -2*a. Calculate the smallest common multiple of -2*4*7/(-14) and a.
12
Suppose 0 = 3*x - 5*h + 7 - 28, 4*h + 28 = 4*x. Suppose 1 + 3 = 2*f. What is the lowest common multiple of f and x?
14
Let p = -8/163 + 10349/1630. What is the common denominator of -31/20 and p?
20
Let h be 8/(-10) - 5/25. Let o = h + 6. Suppose 5*b - 3*t = 33, -5*b + o*t + 49 = 14. What is the smallest common multiple of 8 and b?
24
Let v(t) = t**3 - 4*t**2 + 3*t + 2. Let h be v(3). Let s = 1/494 + -1608/1235. Find the common denominator of s and (-906)/165 - h/(-5).
110
Let m be 3 + -4 - (2 + -8). Suppose -m*t + 85 = 3*a + 33, -2*a = 4*t - 42. Suppose 0 = -3*f + 7 + t. Calculate the least common multiple of 2 and f.
6
Let i(g) = -g**3 + g**2 + 4*g - 1. Let s(h) = -h**3 + h**2 + 5*h - 2. Let t(l) = 4*i(l) - 3*s(l). What is the least common multiple of t(0) and 11?
22
What is the lowest common multiple of 4 + 46/(-12) + (-1041)/(-18) and 10?
290
Let u = 73 + -67. Calculate the lowest common multiple of u and 2.
6
Let q(m) = -m + 8. Let h be q(11). Calculate the lowest common multiple of 2*-9*1/(-2) and 9/(h/(-9)*3).
9
Calculate the common denominator of -109/24 and (40/(-12) + 0)*(-6)/(-135).
216
Calculate the common denominator of -59/20 and (-2)/(-20)*235/(-10).
20
Let d be (2 - 0)/(1 - 2). Let p = d + 10. Find the common denominator of 162/p - (2 + -3) and -47/16.
16
Let m = -115099/12 - -37011/4. Let b = m + 342. Calculate the common denominator of 119/10 and b.
30
Suppose -5*c = y - 71, -2*c + 18 = 5*y - 15. Let h = 34 - c. Calculate the smallest common multiple of h and 14.
140
Let u = 127 - 287. What is the common denominator of 644/u + 2/5 and -9/7?
56
Suppose 0 = 3*m - m + 22. Let p be (-1*42/3)/2. Let y = p - m. What is the least common multiple of y and 4?
4
Let f be (-1 + -7338)/(1 - -276). Let r be 1087/3878 - (-4)/(-14). Let s = r + f. Calculate the common denominator of 28 and s.
2
Let r = -2366/3 + 782. Find the common denominator of -26/15 and r.
15
Let l = -2 - -4. Suppose 0 = l*c + 3*c. Suppose c = -4*j, -4*v + 3*v + 5*j = -14. What is the lowest common multiple of v and 18?
126
Suppose -1 - 39 = -5*l. What is the least common multiple of l and 2?
8
Suppose 4*f - x - 4*x = 58, 3*f - 4*x - 44 = 0. What is the smallest common multiple of 32 and f?
96
Let f = -9 + 13. Let n = -1 - -3. Calculate the smallest common multiple of n and f.
4
Let a = 25 - 23. What is the least common multiple of 7 and a?
14
Let v = -583/60 + 49/5. Find the common denominator of v and -83/14.
84
Let z(q) = -q**2 - 3*q. Let w be z(-2). Let p = 5 - w. Let y = 4 - p. What is the least common multiple of 11 and y?
11
Let u be 352/(-8) - (-1 + 0). What is the common denominator of 0 + u/(-10) - 4 and -111/22?
110
Let c(g) = -5*g - 2. Let o be c(-1). Suppose -o*l + 2*m = -43, l - 4*m - 9 = 2*l. What is the least common multiple of 8 and l?
88
What is the common denominator of 2 - (-1 - 5/(-8)) and 1*-2 + -1*1/20?
40
Let o = -7 - -16. Suppose 3*n = 4*n - o. What is the least common multiple of 9 and n?
9
Let k(x) = x**3 + 10*x**2 - 12*x + 7. Let i(r) = r**3 - 5*r**2 - 3*r - 4. What is the smallest common multiple of k(-11) and i(6)?
126
Let j = -1842 + 47899/26. Calculate the common denominator of (-1)/((-24)/(-274)) + -1 and j.
156
Let s be (-1)/3 - (-3)/9. Calculate the lowest common multiple of (-36)/21*(s - 7) and 22.
132
Let o be 1 + -2 + (-21)/(-1). Suppose -2*d + 20 = -2*h, -2*h - o = -2*d - 4*h. Let w(z) = 8*z**3 - z. Calculate the lowest common multiple of w(1) and d.
70
Let y(j) = j**2 - 2. Let s be y(-2). Suppose 0*r + 17 = s*r + 3*w, -w + 49 = 5*r. What is the lowest common multiple of r and 3?
30
Let z = -56183/20 - -2810. Let a be 4/(-14) + 54/147. Let l = -1837/294 + a. Find the common denominator of l and z.
60
Let p = -2033/2 + 1039. Find the common denominator of -121/20 and p.
20
Let g = 16 - 8. Calculate the lowest common multiple of g and 8.
8
Let j be ((-176078)/(-168))/((-8)/18). Let r = 2361 + j. What is the common denominator of 87/16 and r?
16
Let u be 26 - (-3)/(3/2). Let m = -19 + u. Let q = m - 5. What is the lowest common multiple of 20 and q?
20
Let a = 10084638485/774 - 13029253. Let l = -22264 - -1914725/86. Let t = l - a. Find the common denominator of 33/2 and t.
18
Let i be -1 + 164*(-1)/(-66). Let c = -46/11 - i. Calculate the common denominator of c and 50/11.
33
Let j(a) be the first derivative of -a**3/3 - 4*a**2 - 7*a - 7. Suppose k = -3 - 2. What is the smallest common multiple of 6 and j(k)?
24
Let w = -7 - -23. Calculate the lowest common multiple of 8 and w.
16
Suppose 3*g - 28 = -4. Let p(r) = -r**3 - 3*r**2 - 2*r + 2. Let q be p(-2). Suppose -q = c - 2*c. Calculate the least common multiple of c and g.
8
Let q = -5795 + 34853/6. What is the common denominator of -14/9 and q?
18
Suppose -3*a = -12, -2*a + 2 = -0*k - 2*k. Calculate the common denominator of 83/2 and k - 3/20 - 3.
20
Let a be 24/(-18)*3/(-2). Find the common denominator of -45/4 and (-230)/(-28) - a/4.
28
Let b be (-12)/5*2/3. Let y = b - 33/5. Let q = 26511/2164 + -1/1082. What is the common denominator of y and q?
20
Let i = -34 - -38. Let h = 128 + -190. Calculate the smallest common multiple of i and (-6)/15 + h/(-5).
12
Let x(y) = -y**2 + 9*y + 3. Let r be x(11). Find the common denominator of r + 1 + 12/16 and 25/16.
16
Let z be 58710/22 - 3/(-6). Let r = z - 2672. Find the common denominator of -13/2 and r.
22
Let w(k) = k**3 + 6*k**2 - 3*k. Suppose -5*h = -4*q - 14, 2*q + 8 = -0*q + 2*h. What is the lowest common multiple of w(q) and 18?
18
Let h be ((-1411969)/(-39))/(3/(9/(-10))). Suppose 4*z + 12643 = -30849. Let m = z - h. Find the common denominator of m and -97/8.
40
Let p = 7746128 + -23301. Let m = p + -2587149322/335. Let o = -40/67 - m. Calculate the common denominator of -56/3 and o.
15
Let s be (-7)/(-4) - 2/(-8). Let x = -3 + 25. Calculate the lowest common multiple of x and 2 - (-16 + s) - 0.
176
Let v(b) = -6*b - 3. Let p be v(-2). What is the lowest common multiple of 24/p*(-9)/(-4) and 6?
6
Let l = 1073 + -9593/9. What is the common denominator of l and ((-1)/3)/((-1)/(-40))?
9
Let p(d) = 7*d - 8. Calculate the lowest common multiple of p(2) and 12.
12
Suppose -5*u + 26 = -9. Let f(y) = y**3 - 6*y**2 - 6*y + 1. Calculate the least common multiple of f(u) and 18.
72
Suppose -4 = 4*c - 20. Suppose -c*o + 16 = 3*h, -3*o = -h - 2*h + 51. Calculate the smallest common multiple of h and -3 + 1 - 0 - -12.
60
Let p = 23 - -33. What is the common denominator of -91/6 and ((-32)/p)/(2/(-29))?
42
Suppose -r = -2*b - 16, -15 = 4*r - b - 58. Let t = 14 - r. Suppose x + 65 = t*v, -4*x - 17 = -v - 3*x. What is the least common multiple of v and 10?
80
Let t = 44293/8 + -5546. What is the common denominator of -41/8 and t?
8
Let p = 2/8235 - 85117/90585. Find the common denominator of 139/18 and p.
198
Suppose 30 = 5*r - 5*m, 3*m + 25 = 5*r - 3. Suppose -4*l = -5*l + 1. What is the smallest common multiple of r and l?
5
Let l(r) = 31*r - 2. Let y be l(2). Find the common denominator of -7/10 and (2/6)/(y/54).
10
Suppose 0*q + 47 = 4*l + 3*q, 0 = l - 2*q + 2. Let p(a) = -2*a - 14. Calculate the smallest common multiple of l and p(-14).
56
Let g = 43 + -33. What is the smallest common multiple of g and 18?
90
Let m(r) = -2*r - 2. Let b be m(-6). Let g be 4/b - (-539)/65. Let k = -1049/182 + g. What is the common denom