1. Find the common denominator of u and 31/6.
66
Suppose 3*z - 27 = -3. Suppose 0 = 2*i + 1 - 3. What is the least common multiple of z and i?
8
Let g be 10/(-8)*(1 - -3). Find the common denominator of 1622/(-252) - (1 + 10/(-14)) and (-2)/g - 354/(-140).
126
Suppose 2 = m + 4*n - 9*n, 5*m + 5*n = 10. Suppose c = -4*x + 37, 5*x - 3*c - 20 = c. Calculate the least common multiple of x and m.
8
Let y = 619/14 + -201/7. Calculate the common denominator of y and -121/10.
10
Let l be 4/20 - (-432)/15. Suppose -3*m + 3*f = -5*m + 30, l = 5*m - 4*f. What is the smallest common multiple of 8 and m?
72
Let p = -29 - -51. What is the smallest common multiple of p and 18*(-3 - (-33)/9)?
132
Let j = 143430002/3415 - 42000. Let b = j + -60791/6830. What is the common denominator of 49 and b?
10
Let b(y) = 8*y. Let j be b(-1). Let m be (-27)/(-6)*j/(-3). Suppose 4*i = i + m. Calculate the lowest common multiple of i and 3.
12
Let b(q) = -22*q. Let u be b(-1). Let v = -4907 - -29513/6. Find the common denominator of v and -2 + 127/u + -2.
66
Let a(x) = -x**3 - 4*x**2 - 6*x - 4. Let g = 1 - 6. Let v be -1*(-3 + 2) + g. Calculate the lowest common multiple of 2 and a(v).
20
Let s = -267/20 + 2653/180. Let t(j) = 3770*j - 5. Let d be t(-5). Let f = d + 226133/12. What is the common denominator of f and s?
36
What is the common denominator of 2/(-32)*(-202)/1 and (-790)/275*(-5)/4?
88
Let s = -2/36409 - 5934607/1092270. Find the common denominator of 29/3 and s.
30
Let i = 1148/5 + -8929/40. Let m = -48 + 98. Find the common denominator of i and (-2425)/(-30)*(-3)/m.
40
Let b = -14578/11385 - -43/207. Calculate the common denominator of b and -2/15.
165
Find the common denominator of 0 + ((-1105)/100)/13 and 73/28.
140
Suppose 3*n - 38 = -2. Let r(c) = 2*c**2. Calculate the lowest common multiple of r(1) and n.
12
Let b = -1127/330 + -16/33. Calculate the common denominator of ((-845)/26)/(-1 + (-4)/(-2)) and b.
10
Suppose 5*y - 3*v + 2 = 0, 2*y + 2*y - 4*v + 8 = 0. What is the smallest common multiple of y and ((-9)/(-12))/((-20)/(-80))?
6
Let u(w) = -3*w**3 - 19*w**2 - 8*w - 3. What is the smallest common multiple of u(-6) and 4?
36
Let f(k) = -k**3 - 7*k**2 + 7*k - 11. Let z be f(-8). Suppose 7 = 5*q - 33. Let y = q - z. What is the lowest common multiple of 6 and y?
66
Suppose 4*s - 8 - 8 = 0. Let w be 2*2/s*3. What is the common denominator of 67/4 and (w/8)/((-3)/(-91))?
8
Let d = -222/5 + 551/15. What is the common denominator of -38/5 and d?
15
Let n be ((-8)/(-10))/((-12)/30). Calculate the common denominator of -26/9 and n/(-8) - 25/(-40).
72
Suppose -3*w = 5*m - 40, -w + m = -0*w. Suppose 0 + w = 5*i. What is the common denominator of 16/9 and (1 + i)/((-6)/(-47))?
9
Let p(w) = 2*w + 4. Calculate the least common multiple of p(5) and 53/5 - -9*4/(-60).
70
Calculate the least common multiple of (-4)/18 - 1088/(-36) and 3.
30
Let d(v) = v - 1. Let x(t) = -t + 5. Let j be x(-4). Calculate the lowest common multiple of 4 and d(j).
8
Let i = 46 - 26. What is the common denominator of -87/2 and (101/5)/(16/i)?
4
Let c(p) = -p**3 - 11*p**2 + p - 9. Let a be c(-11). What is the common denominator of (3 - 6) + (-258)/a and 97/6?
30
Let h(w) = w**2 + 23*w + 52. Calculate the lowest common multiple of h(-21) and 26.
130
Let q = -177403/46 + 3856. Find the common denominator of q and 101/22.
506
Suppose -4*h + 28 + 20 = 0. What is the smallest common multiple of h and 8?
24
Let x = -35 + 44. What is the lowest common multiple of x and 4?
36
Let h = -15 + 19. Suppose 0 = -h*q + 51 - 19. Calculate the least common multiple of q and 6.
24
Let h = 1144 - 2347/2. Find the common denominator of 53/8 and h.
8
Let w(c) = 5*c. Let m(f) = 2*f. Let h(u) = -14*m(u) + 6*w(u). What is the smallest common multiple of h(6) and 12?
12
Let t be (2/7)/(72/192934). Let b = t - 3067/4. Calculate the common denominator of b and 93/20.
180
Let o = -63 - -118. Calculate the common denominator of 59/22 and 2/(-4)*o/7.
154
Let p be (-3 + 0)/(6/(-4)). Suppose -5*a + 10 = 0, p*r + 3*r - 247 = -a. Let n = 3/5588 + -304555/16764. Calculate the common denominator of n and r.
6
Let g = -2 + 2. Let b = 1 + g. What is the lowest common multiple of 7 and b?
7
Let t(i) = i**2 + 4*i. Calculate the least common multiple of t(-6) and (-72)/(-7) + (-28)/98.
60
What is the common denominator of 95/4 and 885/(-36) - (-4)/(-6)?
4
Let t(s) = 2*s**2 + 16*s + 6. What is the lowest common multiple of 2 and t(-8)?
6
What is the common denominator of 47/11 and -3 + (-47 + 3 - (1 - 0))?
11
Let l be (12/33)/((-1836)/(-17398)). Let p = l - -4/459. Let v = 334/51 + -32/17. Find the common denominator of v and p.
33
Let s be (-2 - 189/6)*2. What is the common denominator of 12/(-6) - s/12 and -93/10?
60
Let h(n) = n**3 + 7*n**2 + 4*n - 2. What is the least common multiple of h(-6) and 12?
60
Let j = 6 + 12. Calculate the lowest common multiple of j and 8.
72
Let j be 1 + (1622/(-318) - -1). Let k = j + -7/106. What is the common denominator of k and -29/11?
66
Suppose 0 = 3*f - 0*f - 63. Suppose 7*c = 3*c - 3*n + 41, 2*c - f = -n. What is the smallest common multiple of (-158)/(-18) + (-4)/(-18) and c?
99
Suppose 3*u + 4*b = 23, 0 = u - 0*b + 5*b - 26. Suppose 1 + u = -h. Find the common denominator of (2/30)/(h/755) and -11/5.
30
Let i = -1312/53 + 586181/212. Let g = i - 2716. Let r = 1951 - 3807/2. What is the common denominator of g and r?
4
Suppose -3*j + 58 = -2*p, 3*j - 7*j = p - 81. Suppose 0*t = -t + 22. Calculate the smallest common multiple of j and t.
220
Suppose f - 2*f + 3*h = -1, 5*h + 11 = 4*f. Suppose -10 = 3*n - 4*n. Calculate the least common multiple of n and f.
20
Let x(i) = -i**3 - i**2 + 3*i - 4. Let y be x(-3). Let k = 9 - y. Calculate the least common multiple of 8 and k.
8
Let w = 3573493/5064 - -1/1688. Let c = 721 - w. Find the common denominator of -17/2 and c.
6
Calculate the least common multiple of (-6)/((-2)/(-2) + (-10)/5) and 22.
66
Suppose -3*p = -6 - 6. Suppose -4*a - 3*w = -0*a - 44, -a = -5*w - 11. Calculate the smallest common multiple of a and p.
44
Let q be ((-4)/3)/((-42)/9). Let l = 41/70 - q. What is the common denominator of 76/9 and l?
90
Let w = 5 - -2. Let r = 14 - w. Calculate the smallest common multiple of r and 7.
7
Suppose d = -4*d + 4*p + 46, 4*p + 22 = d. Let o(g) = -3*g + 3. Let a be o(-2). What is the smallest common multiple of d and -1*a/((-36)/40)?
30
Suppose 3*c + 2*f + 5 = 0, 2*f + 0 = -c + 1. Let q = c + 5. Suppose 0 = x + q*x - 30. Calculate the least common multiple of 22 and x.
110
Let r(x) = -2*x**3 - x**2 - 4*x - 4. Calculate the lowest common multiple of 22 and r(-2).
176
Let z be -1 - -4 - (-261)/3. Suppose 8*h - 3*h - z = 0. What is the lowest common multiple of 18 and h?
18
Let b(z) = -z**3 - 6*z**2 - 4*z + 6. Let q be b(-5). Calculate the common denominator of 1 - (-10)/16*q and (-3 - -1) + 5/(-4).
8
Suppose -2*w - 5 = 4*y - 75, 2*w = 6. Calculate the lowest common multiple of 18 and y.
144
Suppose -6*g + 4*g + 6 = 0, 5*x + 4*g = 2. What is the lowest common multiple of ((-11)/4)/(x/8) and 4/((-1)/(3/(-2)))?
66
Let z = 38 - 18. Calculate the smallest common multiple of z and 14.
140
Let s = -3 - -11. Calculate the smallest common multiple of 20 and s.
40
Suppose 2*g - n = 3*n + 56, n - 56 = -3*g. What is the smallest common multiple of g and 8?
40
Let m = 2 + 0. What is the common denominator of 202/24 + (-3)/(-9) and m - 0 - 18/(-5)?
20
Let k = -512957/74 + 6932. Calculate the common denominator of k and -81/4.
148
Let o(a) = a**3 - 6*a**2 - 4*a - 1. Calculate the lowest common multiple of o(7) and 30.
60
Let k be 0 + 2 + 21662/(-8). Let p = -2724 - k. Let c = -171/28 + -43/7. Calculate the common denominator of p and c.
4
Let a = -4511 + 2593. Let z = 2710 + a. Let y = z + -3115/4. Find the common denominator of y and -81/8.
8
Let l = 14 - 10. Suppose 45 = -6*c + 21*c. What is the least common multiple of l and c?
12
Suppose -5*h - 4*w = 15, -19 - 6 = 5*w. Let v = h + 8. What is the least common multiple of v and 7?
63
Let h be (-2)/(-6) + (-99554)/105. Let x = h + 76189/80. What is the common denominator of x and -131/18?
144
Let z(c) = 90*c**2. What is the lowest common multiple of z(-1) and 2?
90
Suppose 3*c = 3 + 3. Find the common