55/12.
132
Let u = -1 + 73. Find the common denominator of -89/8 and 292/u - 1/(-2).
72
Let r(y) = -y**2 - 12*y + 11. What is the smallest common multiple of r(-11) and 2?
22
Let l(u) = -u**2 - 9*u - 12. Let q be l(-9). Calculate the lowest common multiple of 7 and (2/(-2))/(3/q).
28
Suppose -5*v + 4*g - g + 156 = 0, -g + 3 = 0. Suppose 2*m = -169 - v. Find the common denominator of (m/18)/(4/6) and -31/20.
60
Let n = 11 - 10. Calculate the least common multiple of 9 and n.
9
Let t = 28 - 8. What is the least common multiple of 16 and t?
80
Suppose -4*u + 0*g + g = -3, -u = -g. What is the least common multiple of (4 - u) + -2 + 19 and 18?
180
Let y(d) = -8*d - 10. What is the smallest common multiple of y(-4) and 2?
22
Suppose -36 = -5*d - 7*d. What is the smallest common multiple of 13 and d?
39
Suppose 5*x = -m + x + 96, 0 = 4*x - 16. Find the common denominator of m/22 + 3/6 and -11/12.
132
Calculate the common denominator of -113/6 and 1/(8/828*-24).
48
Let a = -227/8 + 369/16. What is the common denominator of -49/18 and a?
144
Let o = 5 + -5. Suppose o*k - 34 = -4*q + 2*k, -2*q + 23 = 5*k. What is the lowest common multiple of q and 4?
36
Let b be 7148/(-11480) + 3/5. Let y = 22725/2296 + b. Calculate the common denominator of -1/18 and y.
72
Suppose 3*x + 8 + 16 = 0. Let i = -9 - x. What is the common denominator of 159/18*-1 - i and -11/2?
6
Suppose 4*r = 5*r - 2, -5*r + 18 = 2*b. Calculate the common denominator of -121/20 and (70/(-54))/(b/6).
180
Let v = -1499373/243820 - 6/12191. Find the common denominator of v and 3/92.
460
Suppose -503 = -19*z - 161. What is the least common multiple of z and 12?
36
Let r = -2/25495 + 453819/101980. Let p = -1/4537 + -412861/27222. What is the common denominator of r and p?
60
Suppose -2*o + 4*y = -6, 3*o - 4*y = 6*o - 29. Find the common denominator of 2/6*(-147)/10 and (-178)/35 - (-2)/o.
10
Let q = -34999/6 + 5855. Let u = -4/655 - -34751/5895. Find the common denominator of u and q.
18
Suppose -d + 2*d = 20. Find the common denominator of d/(-8)*45/21 and -83/22.
154
Suppose 0 = 4*s - 6 - 14. Suppose s*n - n = 56. What is the least common multiple of 31/2 - 1/(-2) and n?
112
Let c = 8079 + -80717/10. Find the common denominator of c and 17/10.
10
Let r(b) = 2*b - 2. Let c be r(4). What is the least common multiple of c/(-15) + 24/10 and 4/(-6) - 60/(-9)?
6
Let a(o) = -o**2 + 7*o - 4. Let p be a(6). Suppose -2 = -p*k + 4. Calculate the lowest common multiple of 8 and k.
24
Let a = 46859/6 - 7830. Calculate the common denominator of -4*(-2 - -3)*-4 and a.
6
Let u = 249/110 - 59/10. Let y = 394/3 - 1949/15. Find the common denominator of u and y.
55
Let r = -21 + 31. Suppose -4*v + 4*d + 156 = 0, 0 = -v + 3*d + d + 48. Let x = v + -16. Calculate the least common multiple of r and x.
20
Suppose 0*a + 5*a + 33 = 3*q, -3*a + 2*q = 20. What is the least common multiple of 10 and 2/(-3*2/a)?
10
Let b be 2/(-5) - 69/15. Let j(p) = 2*p**2 + 6*p - 7. Let w be j(b). Suppose 5*g - w = 7. What is the least common multiple of g and 2?
4
Let k = 2 + 1. Let s(b) = b**3 - 3*b + 2. Calculate the smallest common multiple of 10 and s(k).
20
Suppose a + 0 - 10 = 0. What is the smallest common multiple of a and 22?
110
What is the common denominator of (-14 - -3)/(0 - -2) and (-92)/(-40)*(-6)/4?
20
Suppose 5*q + 63 = 483. Calculate the common denominator of -2 - (37/5)/1 and 2/(-4) - q/9.
30
Suppose -84 = 39*r - 45*r. Calculate the least common multiple of 22 and r.
154
Let m be ((-505)/(-30))/((-2)/183). Let t = -1523 - m. Let w = 4743 - 28609/6. Find the common denominator of t and w.
12
Let x be (-1)/2 - (-93)/(-450). Let s = -563/950 - x. Let c = s - 663/38. Calculate the common denominator of -41/5 and c.
15
Let v be 3/(-9) + (-38)/(-6). Suppose 2*t - p = 86, -p = -5*p - 8. Suppose -d = 5*q - t, 2*q + d - 24 = -v. What is the smallest common multiple of q and 5?
40
Let p be (-1)/(1 - (-18)/(-21)). Let a = -13 + 22. Let q = a - p. What is the smallest common multiple of 10 and q?
80
Suppose -26 = -2*h - 2*l, -4*h = 2*l + 3*l - 48. What is the common denominator of -97/8 and h?
8
Let x be 2/(-9) - (-580)/18. Let g = x + -12. Suppose -8*d + g = -3*d. What is the smallest common multiple of 8 and d?
8
Calculate the common denominator of ((-3)/(-42))/(-2*2/148) and 143/6.
42
Suppose -36 - 44 = -16*j. Let h(u) = -2*u - 5. Let w be h(5). Calculate the least common multiple of j and 12/w*(0 + -5).
20
Let y = 8 - 2. Suppose -y - 6 = c. Calculate the common denominator of (183/c)/(-2 - 1) and 37/18.
36
Let a(o) = o**3 - 2 + 4*o**2 - 6*o + 2*o**2 - 2*o**2 + 0*o**2. Let f be a(-5). Suppose 0 = -f*k + 4*k - 16. Calculate the least common multiple of 14 and k.
112
Suppose 2*t = -j + 6, -5*j + 3*t + 2 = -2. Let w be (-68)/(-18) + j/9. Suppose 0 = w*d - 118 + 30. What is the least common multiple of d and 12?
132
Suppose 0*p - 4*p = -4*l - 32, 9 = 2*p + 5*l. Calculate the lowest common multiple of p and 17.
119
Suppose -h - 4 + 2 = 0. Suppose -2*p + 9 = w + 3*p, -5*w + 17 = -3*p. Let b = h + w. Calculate the least common multiple of 20 and b.
20
Let i = 3/58 - -506/29. Find the common denominator of i and (3/12)/(22/236).
22
Suppose -4*d = -q + 5125, -q + d - 25667 = -6*q. Let p = q + -92489/18. Let a = -5182 + 103673/20. What is the common denominator of a and p?
180
Let a be 1 + 6 - 3/(-3). Let x be 6/4*a + 0. Calculate the common denominator of -70/3 and 8/x + (-152)/18.
9
Let m(f) = f**2 - 2*f - 4. Let z be m(4). Suppose -5*t = -5*x + 3 + 37, z = t + 3*x. Let y = 6 + t. What is the smallest common multiple of 4 and y?
4
Let m = -108076 + 44959639/416. Find the common denominator of m and 27/20.
2080
What is the common denominator of ((-19)/2)/(26/(-12) - -3) and -53/32?
160
Let w be (-1902)/(-8)*(-11)/(-3). Let a = -881 + w. What is the common denominator of a and -1/5?
20
Let z = 11 - -3. Calculate the lowest common multiple of z and 4.
28
Let o(s) = s**3 + 3*s**2 - 2*s + 1. Let b(n) = n**3 - 5*n**2 + 6*n - 3. What is the least common multiple of b(4) and o(-3)?
35
Let y be (16/(-10))/(6/(-75)). Suppose -s + y = s. What is the smallest common multiple of s and 74/12 + ((-69)/(-18) - 4)?
30
Suppose 0 = -d - 5 + 17. Find the common denominator of -3/10 and (-2 - (-109)/d) + 0.
60
Let p = 147/65 - -72/13. Find the common denominator of p and -41/2.
10
Suppose b + 150 = 3*h - b, 0 = -5*h - 3*b + 231. What is the least common multiple of 33 and h?
528
Let c = -3483 - -27899/8. Find the common denominator of -143/24 and c.
24
Suppose 11 = -z + 15. Calculate the least common multiple of 7 and z.
28
Let r be 6/(-28)*15676/3. Let i = 1128 + r. Find the common denominator of (-6)/(-21) - (-759)/210 and i.
70
Let f be 3/9 + 4499948/(-240) + 4. Suppose 121963 = -4*a + 47003. Let v = a - f. Calculate the common denominator of -23/2 and v.
20
Let f be 60754/(-12)*(-3)/10. Suppose -2*c - 166 = 2874. Let q = f + c. Find the common denominator of 97/22 and q.
220
Let u = -5 - -8. Suppose -2 = -4*s + 2*a, u*a = s + a + 4. Calculate the common denominator of 117/20 and (172/(-18) + 1)/s.
180
Let q be 10758/(-87)*1/(-15). Let t = 31/87 + q. Let f = 349/40 - t. What is the common denominator of 26/9 and f?
72
Let h be 6/15 + 102/(-5). Let w = 28 + h. Suppose 2*v = -3*v - 10, -4*v - 9 = -m. What is the lowest common multiple of m and w?
8
Suppose -2*p + 7*p - 160 = 0. Suppose 0*a - 4*a = -p. Let b = 95 - 87. Calculate the least common multiple of a and b.
8
Let d be (3 - (-3 - -3)) + 1. Suppose d*k = i + 37, 5*k - 3*i = k + 47. Calculate the least common multiple of k and 12.
24
Let r = -89 - -53. Find the common denominator of 8/r + 388/45 and -75/2.
10
Suppose -4*q = 12, 6*w - w - 2*q - 56 = 0. Calculate the least common multiple of w and 18.
90
What is the common denominator of 79/28 and 4*1 + 1155/(-88)?
56
What is the least common multiple of 4/6*(25 + -1) and 6?
48
Let t = -5/3 + 23/9. Find the common denominator of -49/9 and t.
9
What is the lowest common multiple of 0 - (1 - 1) - (-13 + 1) and 4?
12
Suppose 2*y - 3*y = -3. Let s(r) = 2*r**2 - 4*r - 5. What is the smallest common multiple of s(4) and y?
33
Let s = 67/2 + -301/6. What is the common denominator of s and 35/32?
96
Calculate the least common multiple of 2 and 12/((-