
Let m(w) = -w**3 + 10*w**2 - 10*w + 11. Let k be m(9). Suppose k*y - 48 = -y. What is the smallest common multiple of (0/(-1) - -10) + 0 and y?
80
Suppose c = z + 49, 242 = c + 4*c - 2*z. Suppose 2*n = -2*n + c. Suppose 3*m - 14 = 2*m. What is the least common multiple of m and n?
84
Let l = 8/115 + -2669/345. What is the common denominator of l and -47/3?
3
Suppose -46 = 4*m + 2*x, 3*m - 6*m + 4*x - 7 = 0. Let b = -3 - m. What is the least common multiple of b and 9?
18
Let n = -768 - -1461/2. Suppose -3*q - 2*q = 3*u + 349, -3*q = -2*u + 217. What is the common denominator of (0 + q/(-2))/(-1) and n?
2
Let d = -1 + 1. Suppose 3*v - 19 - 2 = d. Let o(z) = -z**3 + 7*z**2 - 4*z - 3. What is the smallest common multiple of v and o(6)?
63
Suppose k - 4*h = -0*h + 8, 5*k = 4*h + 40. What is the lowest common multiple of k and 7?
56
Let v(a) = 2*a + 2*a**3 - 3*a**2 + a**2 - 6*a**3. Let s be v(-2). Suppose 0 = -6*y + 4*y + s. What is the least common multiple of 22 and y?
110
Let z(y) = -y**2 - 10*y - 12. Let c be z(-8). Find the common denominator of (-3241)/1260 + c/18 and -91/16.
80
Let f = 77 - 8. What is the common denominator of f/22 + 4/(-8) and 85/6?
66
Suppose 0 + 3 = g - z, 1 = 2*g + 3*z. Suppose 3 = -g*m + 7. Calculate the smallest common multiple of m and 4.
4
Let j = 3 + -2. Suppose 5*y + 9 = -j. Find the common denominator of -63/4 and ((-89)/(-18))/(y/2).
36
Suppose -3*q - 6*v + v + 49 = 0, 2*v = 3*q - 56. Calculate the lowest common multiple of 74 and q.
666
Let h(n) = -n**3 - 5*n**2 - 6*n - 2. Let p be h(-4). Suppose -2*f = -x + 73, f - p*f + 3*x = 185. Find the common denominator of f and -26/11.
11
What is the least common multiple of (1 - 0)*-1*-6 and 5?
30
What is the common denominator of 285/72 + (2/2 - 4) and -11/6?
24
Suppose t - 27 = j, -3*t + 38 = -2*j - 38. Calculate the smallest common multiple of t and 14.
154
Let i(a) be the first derivative of -a**2/2 + 38*a - 1. Let r(n) = n**3 + 3*n**2 + 2*n. Let f be r(-2). Find the common denominator of i(f) and 46/5.
5
Suppose 22 - 10 = 2*l. Calculate the least common multiple of 62 and l.
186
Let f(w) = w**3 - w**2 - w + 15. Let z be f(0). Let d = -11 + z. Suppose -4*x + 23 + 9 = 0. Calculate the least common multiple of d and x.
8
Let n(k) = 261*k**2 + 3*k + 4. Let m be n(3). Let w = m - 14207/6. Find the common denominator of (3 - 55/7)/4 and w.
42
Let b = -11 - -16. Suppose f - b*f = -12. What is the least common multiple of f and 5?
15
Let r be (-5)/15 - (-259)/3. Suppose r = 4*n - 46. Calculate the common denominator of ((-21)/(-16))/(6/40) and n.
4
Suppose -2*k = -3*l + 13049, 2*k - 7464 - 1232 = -2*l. Let n = l + -60917/14. Calculate the common denominator of -53/14 and n.
14
Let j = 60645201/83938 + 2/41969. Let x = j - 695. Calculate the common denominator of -47/20 and x.
20
Suppose 3*h - 6*h = -3*m - 114, 5*m + 64 = 2*h. What is the common denominator of 8/23 and h?
23
Let v = -16 - -30. Suppose -5 = -r, -r + 4*r = 5*w - 25. Calculate the smallest common multiple of w and v.
56
Suppose -m - 2*m = -5*c + 28, 0 = 2*m + 4*c - 18. Let f = 2 - 1. What is the smallest common multiple of f and 1 - (-1 + m) - -2?
5
Let r be -22*((-459)/213 - -2). Let m = r + 317/1136. Calculate the common denominator of m and 17/20.
80
Let t(j) = j. Let b be t(9). Let p be (-32126)/(-6)*b/(-12). Let s = p + 3995. Find the common denominator of 103/10 and s.
20
Let t(m) = -m**2 - m + 16. Calculate the least common multiple of 10 and t(0).
80
Let x = 2 - -9. Let k = -5 + x. Calculate the lowest common multiple of k and 11.
66
Let l be ((-4)/(-8) - 2)*20. Calculate the common denominator of 47/9 and l*2*(-3)/44.
99
Let k be (-4)/(-6) + 14/6. Let g be (-1)/k + (-32)/(-6). Suppose 4*p + 2*u - 39 = -1, -4*p = -g*u - 59. Calculate the least common multiple of 2 and p.
22
Let c = -76 + 96. Calculate the lowest common multiple of 278 and c.
2780
Suppose -3*m = -2*m - 51. Calculate the common denominator of (-3)/(-1) + m/2 and 3/2*237/(-9).
2
Let x be (-6)/(-4)*95626/14. Let z = x - 10251. Let a = -9554 - -133857/14. What is the common denominator of z and a?
14
Let n = 11383/44814 - -23/679. What is the common denominator of -103/18 and n?
198
Suppose 5*t + 7 = 2*l, 5*t + 19 = 5*l - l. Let y(f) = -6*f + 3 - 3 - 1. Calculate the smallest common multiple of l and y(-1).
30
Let d(x) = -x**3 - 10*x**2 - 4*x - 1. Let g = 3467/12 - 1139/4. Calculate the common denominator of g and d(-9).
6
Let f = -36 + 54. Let s be (-2 - -2) + -1 - -1. What is the smallest common multiple of f and s + 7 - (-3 - -4)?
18
Let a = -9/3688 - -139249/11064. Calculate the common denominator of a and 45/118.
708
Suppose u - 2*y + 4 = 0, -u + 0*y - 2*y + 12 = 0. Suppose 45 = 3*h - 5*v, u*v + 5 + 3 = h. What is the lowest common multiple of h and 26?
260
Find the common denominator of (3267/24)/9 - 5 and 47/74.
296
Let s be 158/18 - (-4)/18. Let a = 6171 - 111227/18. Calculate the common denominator of s/(-24)*4*-27 and a.
18
Suppose 0*m = 5*m + 70. Let h = 18 + m. What is the lowest common multiple of 2 and h?
4
Let b = -1 + 0. Let u be b/(-1 + 57/54). Find the common denominator of (-3)/(u/(-2))*-22 and -107/10.
30
Let d be (-285)/(-20)*40/2. Suppose z = -q - 79 + 30, -5*q = -3*z + d. What is the common denominator of -61/16 and (-6)/(-24)*q/8?
16
Suppose 257 = y - 26. Let z = y + -790/3. What is the common denominator of (-3)/(-6)*26 + 3 and z?
3
Suppose 4*k + 4*t - 3*t - 70 = 0, -2*k + 40 = -2*t. Suppose -5*x = -0*x. Calculate the common denominator of 49/22 and x + (2 - 15/k).
66
Calculate the smallest common multiple of (-1 - -5)/8*16 and 13/3 + 4/6.
40
Let a = 7 + -15. Calculate the common denominator of 50/a - (-8)/4 and ((-3)/10)/(-4 + 1).
20
Let j be ((-1)/4*-168794)/(-7). Let i = -6022 - j. What is the common denominator of -7/10 and i?
70
Let c be ((-7)/19334)/((-1)/(-2)). Let b = c - -48337/2762. Calculate the common denominator of b and 109/12.
12
Let m = -18/7 - 13/63. Calculate the common denominator of ((-4)/(-35))/(726/360 + -2) and m.
63
Suppose -5*x = -4*x. Let k(d) = d + 10. Calculate the least common multiple of 2 and k(x).
10
What is the common denominator of (-16)/(-18)*(-136)/(-16) and -81/2?
18
Calculate the smallest common multiple of 4 and 0 - (-3 + 2/2).
4
Let v be 2/1 + 1 + 1. Let i = 289 + -599/2. Calculate the common denominator of (3/v)/(3/(-134)) and i.
2
Let n(v) = -v**2 + 8*v - 4. Let z be n(5). Let t(a) = -3 - a + 5 + z - 1. Calculate the lowest common multiple of 10 and t(6).
30
Suppose 2*g + 2*g - 3*z + 72 = 0, 0 = -z. What is the common denominator of -15/11 and 255/10*(-8)/g?
33
Let t(s) = s**3 - 4*s**2 + 2*s - 3. Let n be 3 + -2 + -10 + -1. Let k = -5 - n. Calculate the least common multiple of t(4) and k.
5
Let y(g) = 5*g**3 + 2*g - 1. Calculate the smallest common multiple of 6 and y(1).
6
Suppose 5*u = 0, t + 2*t = 4*u - 12. Let v be (-65409)/140*t/(-6). Let p = v + 1567/5. Find the common denominator of p and 83/2.
14
Suppose -2*q - 2 + 12 = 0. Suppose q - 9 = -2*l. Let u(p) = p**3 + 4*p**2 - 7*p - 2. What is the least common multiple of u(-5) and l?
8
Suppose 0 = -10*q + 5*q - 145. What is the smallest common multiple of (-3)/6 + q/(-2) and 6?
42
Let s(y) = -y + 9. Let h(z) = z + 8. Suppose -5*o + 0*o = 25. Calculate the lowest common multiple of h(o) and s(4).
15
Let l = 110/27 - 3739/540. Calculate the common denominator of l and 41/2.
20
Let m = -10 + 8. Let x(p) = -p - 1. Let n be x(m). Suppose 3*v - n = 17. What is the least common multiple of v and 14?
42
Suppose -3*f - 5*s = -5*f + 43, 0 = -5*f + 2*s + 76. What is the smallest common multiple of f and 2?
14
Calculate the common denominator of 73/(-30) + 0 + 0 and 15/8.
120
What is the common denominator of 2/21 and 158/36 + (-8)/2?
126
Let o be 6/2 - (4 + -6). Suppose o*x = 7*x - 28. Calculate the least common multiple of 6 and x.
42
Suppose 2*k - 2*i = k + 13, -2*i - 81 = -5*k. Suppose f = 5*j + k, 0*j + 18 = f - 4*j. What is the least common multiple of f and 8?
88
Calculate the common denominator of 47/36 and (-11)/24 - (-4 + 3).
72
Suppose -a + 2*c = 10, -a + 0*c + 3*c - 14 = 0. Let j be ((-6)/32)/(a/844). Let r = j + -675/8. Calculate the common denominator of 81/20 and r.
20
Let z(a) = -a - 1. Let i be z(-6). Suppose 