
Let h(l) = 15*l**2 - l. Let y be h(1). Find the common denominator of 14*y/(-20)*1 and (237/9)/((-8)/3).
40
What is the lowest common multiple of 3/(-2)*(-2 + 0) and 4?
12
Suppose -13 = -2*j - 5. Suppose v + 15 = j*v, -3*m - v = -41. Calculate the least common multiple of 8 and m.
24
Let s = -9 - -29. Suppose 3*q + s = 7*q. Suppose 0 = 4*u + u + 2*r - 5, -4*u - 3 = 3*r. What is the lowest common multiple of u and q?
15
Let a(k) = 29*k**2 - 2*k - 6. Let t be a(-4). Let r = t - 1827/4. Let z = -982/259 - -24/37. Calculate the common denominator of r and z.
28
Let f = -850358/5 - -168778. Let u = f - -1289. Find the common denominator of -15 and u.
5
Suppose 2*o - 4 - 36 = 0. Calculate the least common multiple of 16 and o.
80
Calculate the common denominator of ((-110)/(-3))/(2*6) and (5/135)/(4/(-438)).
18
Let f = 12 - 10. Suppose -f = -4*q + 3*q. Calculate the least common multiple of 3 and q.
6
Let y(u) = -u - 2. Let o be y(-4). Let s = o + 46. Suppose -4*q - q + s = -w, 2*q = -w + 22. Calculate the smallest common multiple of q and 3.
30
What is the common denominator of -68/27 and (-899)/435 - (3*-1 - -1)?
135
Suppose -21 = -5*d + 4. Suppose 5*g + 10 = 5*h, 7 + 9 = 3*h - g. Calculate the least common multiple of h and d.
35
Let v = -26 - -31. What is the least common multiple of 3 and v?
15
Let m(h) = h**3 + 6*h**2 + 8. What is the least common multiple of m(-6) and 3?
24
Calculate the common denominator of 109/6 and (166/(-44))/(0 - 1).
66
Calculate the common denominator of 63/27 - 2/12 and 10/(-6) - (-1)/(-2).
6
Suppose 4*a + 0*a - 22 = -2*o, -a = -4*o - 28. What is the smallest common multiple of a and (-321)/(-15) - 6/(-10)?
88
Let w(j) = 6*j + 10. Let u be w(-7). What is the lowest common multiple of 5*(2 - u/(-20)) and 10?
10
Let o = -2302/11 + 209. Find the common denominator of (-2)/10 + 63/35 and o.
55
Let t be 129/12 - 6/8. Suppose 0 = -3*k + t + 5. Suppose 4*u = -s + 3*s + 32, k*s + 5*u + 35 = 0. Find the common denominator of 85/6 and s.
6
Suppose -d - t = -4, 0*t = -2*d + 2*t - 4. Let r(i) = 30*i**2 + 2*i - 1. Calculate the common denominator of r(d) and -103/6.
6
Let a = -4 - -9. Suppose -a*b - 4*v = 4, 4*v = -0*b + 3*b - 4. What is the lowest common multiple of 16 and (1/(-1) - -5) + b?
16
Suppose -3*g = 3*i - 21, 2*i + 19 = g - 0*i. Let h be (1 - (-2 - 0))/1. Suppose 2*u - 19 = h*b, -g = 5*b - 4*u + 20. Find the common denominator of b and 23/2.
2
Suppose 0 = -3*c - 2*c + 15. Calculate the lowest common multiple of 11 and c.
33
Let f = -485635/4 - -120613. Let x = f + 788. Calculate the common denominator of (-50)/(-66) - 1/(-3) and x.
44
Let c(l) = l**2 + 2*l - 3. Let j be c(2). Suppose 4*n = -21 + 5, 5*n + 110 = j*k. Let w(u) = 6*u. What is the smallest common multiple of w(3) and k?
18
Suppose h = -5*s - 6, -h - h = 3*s + 12. Let j be (-14)/h*3/214. Let t = j - 2525/321. Calculate the common denominator of 65/4 and t.
12
Let b be 2*(0 - (-15)/6). Suppose b*f - 6 = o, -54 = 2*o - 5*o - 3*f. Let y = 35 - 13. What is the smallest common multiple of o and y?
154
Let a be (-6)/(-21) - (-26)/7. Let q be (-5)/((-10)/a) + -8. Let w(u) = -3*u - 8. What is the least common multiple of w(q) and 6?
30
Let v = 623/3 + -192. What is the common denominator of 41/2 and v?
6
Let w(m) = m**3 - 7*m**2 - 18*m + 8. What is the smallest common multiple of 7 and w(9)?
56
Let s = 150 - 140. Calculate the lowest common multiple of s and 25.
50
Let w be (-300)/(-16)*35/24. Let o = w + -717/32. What is the common denominator of 30/(-16)*138/27 and o?
48
What is the least common multiple of (-4)/4 + 12 + -1 and 14?
70
Calculate the common denominator of 16/5 and (27/6)/((-42)/32).
35
What is the least common multiple of (2/(-8))/(16/(-448)) and 22?
154
Suppose -100 = -6*s + s - 5*q, -5*q - 10 = 0. Calculate the smallest common multiple of s and 22.
22
Suppose 4*l + 5*w = -784 + 3704, -3*l = 3*w - 2193. Let b be l/2943 - 2/9. Let m = b + 745/654. Calculate the common denominator of -127/18 and m.
18
Suppose -4*b - 2*j = -40, 0 = 2*b - j + 5*j - 8. Suppose 0*s + 5*q = -3*s + 23, 0 = 3*q - b. Calculate the smallest common multiple of s and 1.
1
Calculate the common denominator of 85/4 and (-154)/20 + (13 - 12).
20
Let h = 7 - 7. Suppose h = -2*i + 6*i + 72. Let u = 40 + i. Calculate the smallest common multiple of u and 16.
176
Let q = 1213/2 + -622. What is the common denominator of q and -119/20?
20
Let l(g) = g**2 + g - 1. Let d be l(1). Find the common denominator of -73/6 and (-825)/(-140) + d/4.
42
Let l be (264/(-9))/(-4)*-6. Find the common denominator of 103/10 and -1 + 90/l - -2.
110
What is the least common multiple of 75 and (-48)/36 + 93/9?
225
Let j = 46563/140 - 2318/7. Calculate the common denominator of -101/12 and j.
60
Suppose 4*z = -13 + 93. Let t = z - 18. Calculate the smallest common multiple of 24 and t.
24
Suppose 8*p - 17 - 39 = 0. What is the lowest common multiple of p and 3?
21
Suppose 23 = 5*s - 5*i - 12, -16 = -s - 2*i. Let a = -12 + s. What is the common denominator of (-273)/(-24)*(a + 4) and -65/16?
16
Suppose 5*v = 5*f - 4*f - 373, v + 80 = 2*f. Suppose i - 5*x = -65, 391 = -5*i + 2*x + x. Calculate the common denominator of (30/i)/(12/v) and -29/16.
16
Let x = 881/2 + -485. What is the common denominator of x and 41/5?
10
Suppose -3*f + 5*i + 10 = 0, -4*f + 2*f - 2*i - 4 = 0. Suppose a - 4*y + 10 - 28 = f, 14 = a - 3*y. What is the lowest common multiple of 13 and a?
26
Let l be 2/9 - (-50)/18. Suppose -790 = 3*s + 2*s. Calculate the common denominator of 61/22 and s/(-28)*-1 + l.
154
Suppose -3*v + 19 = -17. Suppose 3*h - 72 = 3*p, 3*h + 0*p = 5*p + 70. Let s = 41 - h. Calculate the smallest common multiple of v and s.
48
Let l be (-320)/(-56) + 2/7. Let f be (2/l)/((-6)/(-18)). What is the common denominator of -1 + f + 50/6 and 43/4?
12
Let w(n) = -n + 12. Let p be w(7). Suppose -4*m - 20 = -9*m. Suppose -m*t = 2*q - 19 - 9, -40 = -p*t - 5*q. What is the lowest common multiple of 3 and t?
6
Suppose -4*g + 4 = 0, 3*b - 5*g + 49 = -1396. Calculate the common denominator of (-3468)/b - 2/(-5) and -85/4.
8
Let k(f) = 4 + 13*f - 4*f**3 + 5*f**3 - 13*f**2 + 0 - 2. What is the common denominator of k(12) and 71/8?
8
Let u = 2793 - 39083/14. What is the common denominator of -97/12 and u?
84
Find the common denominator of 3 - (1 + (-26)/(-24)) and -17/6.
12
Let m(a) = 3*a + 1. Let z be m(1). Suppose 0 = z*k + 5*g - 36, k = 5*g + 3 - 19. What is the lowest common multiple of k and (-1296)/(-120) - 1/(-5)?
44
Suppose -4*s - s - 2*i = -52, -32 = -2*s + 2*i. Suppose -3*p + 4*c = -12, -2*c + 7*c = 0. What is the lowest common multiple of s and p?
12
Let b(y) = y**2 + 8*y - 7. Let z be b(-9). Suppose -n - 28 = -z*n. Calculate the lowest common multiple of 4 and n/35*(21 - 1).
16
Let l = 56801/13882 + -1/1262. What is the common denominator of -75/46 and l?
506
Let s = -22355589 - -402725281/18. Let r = s + -18045. Calculate the common denominator of r and 45/52.
468
Let q = 8 - -1. What is the least common multiple of (-6)/(-10) - 102/(-30) and q?
36
Let u = -15655/418 - 10/209. Let r = -22641/8 - -2824. Find the common denominator of u and r.
8
Let s = -272 + 4867/18. Calculate the common denominator of -29/14 and s.
126
Suppose q + 0*k + k = 9, q + 5*k - 25 = 0. Calculate the least common multiple of q and 6.
30
Suppose -3*m + 2*a + 104 = m, -141 = -5*m - 3*a. Calculate the lowest common multiple of m and 33.
297
Let o be 78/(-9) - 4/12. What is the common denominator of -23/4 and (2 - (-7)/o) + 1?
36
Let g = 428 + -4720/11. Find the common denominator of 6/(108/(-174))*9/(-10) and g.
110
Let c = 13 - 6. What is the least common multiple of 10 and c?
70
Let b = 89/2 + -665/18. Calculate the common denominator of 16/19 and b.
171
Let g = -13 - -19. Suppose o + g = 3. Find the common denominator of ((-6)/(-8))/(o/42) and 67/10.
10
What is the common denominator of -33/10 and (62/(-8))/(18/12)?
30
Let z be -4 + 0 - (-3 + 3). What is the common denominator of 143/6 and 14/z*5/4?
24
Let n = -290 - -2648/9. Find the common denominator of n and 55/21.
63
Suppose -3*g + 2 = -4. Let s(b) = -b**2 + 7*b + 8. Let c be s(8). Suppose c = -r - 0*r + 7. What is the smallest common multiple of g and r?
14
Let b = 3 + 9. Calculate the l