44
What is the common denominator of ((-1)/(-15))/((-18)/1965) and 137/6?
18
Suppose 4*b - 15 = b. Suppose 7 = -b*s + 32. Suppose 1 - s = -2*d. What is the least common multiple of 2 and d?
2
Let u be (-10)/(-3)*6/(-5). What is the common denominator of -77/8 and ((-3)/(-18))/(u/52)?
24
Suppose 3*z - z - 33 = 3*h, 0 = -z + 3*h + 24. Calculate the least common multiple of z and 9.
9
Let r = -4847/1035 - 7/414. Calculate the common denominator of r and 2/((-3)/(132/64))*-18.
20
Let b be -1 - 4/((-32)/18315). Let n = b - 2280. Find the common denominator of (101/2 + -2)*(-6)/18 and n.
24
Suppose -4*d + 106 = 2*o, 5*d + 4*o - 137 = -0*o. What is the least common multiple of 20 and 45/d - 2/(-10)?
20
Let i = 4497/4 - 1109. Find the common denominator of i and (242/792 - 4/(-9)) + 1.
4
Let n(k) = 3 - 15*k - 2*k**2 + k**2 - 9. What is the smallest common multiple of 16 and n(-13)?
80
Suppose a - 2*a + 5*r + 11 = 0, 3*a - 4*r - 44 = 0. Suppose -3*h + h = -a. Let f(v) = v + 3. What is the least common multiple of f(h) and 9?
99
Calculate the common denominator of (46/24)/(1/9) and 20/(-4)*(-5)/(-9).
36
Let l = 150 + -2097/14. Calculate the common denominator of l and 45.
14
Let w be -2*2706/64 + -2. Let h = 5957/80 + w. Calculate the common denominator of 37 and h.
10
Suppose 0 = -32*l + 8*l + 960. What is the lowest common multiple of 55 and l?
440
Let u(d) = -490*d + 1. Let m be u(2). Let c = m + 8791/9. What is the common denominator of 4/(-8)*(-68)/(-18) and c?
9
Let p = -12843 - -128541/10. Let k = -6734/5 + 1351. What is the common denominator of k and p?
10
Suppose 22 = q + 4*u, 23 = 4*q + 4*u - u. What is the smallest common multiple of q and 3?
6
Calculate the least common multiple of 6 and (-33)/(-27) + (-6)/27.
6
Let g = -94867694333/198 + 479128279. Let y = g + 16320/11. What is the common denominator of (-79)/3*(-6)/(-44) and y?
198
Suppose 4*s - 438 = 5*j, -5*j - 441 = -2*s - s. Find the common denominator of j/(-25)*(-6)/(-4) and (11/(-2) + 2)*2.
5
What is the common denominator of 32/11 and 2/((-140)/(-355)) - -3?
154
Suppose 3*h + 5*d = -67, d - 15 = -4*h - 110. Find the common denominator of 3/14 and (238/10)/(h/(-10)).
84
Let t(l) = -4 - 1 + l**2 + 1 + l + 0*l. Let n be t(-3). Suppose n*r = r + 8. What is the lowest common multiple of 8 and r?
8
Let q = 18 - 18. What is the smallest common multiple of 15 - (2 - (1 + q)) and 16?
112
Let k(i) = -i**2 + 9*i - 5. Calculate the common denominator of 34/7 and k(8).
7
Suppose 0*v - 2*v = 5*s + 13, 2*v = 3*s + 27. Suppose v = g + g. Calculate the common denominator of (-214)/10*g/(-12) and 107/14.
140
Let v = -1790/1241 + -45/73. Calculate the common denominator of -71/9 and v.
153
Let t = -4 - -3. Let i = t + 4. Suppose 2*n = 3*x - 4, 3*n = -4*x + 8*n + 3. Calculate the lowest common multiple of i and x.
6
Suppose 0 = 5*l - 0*l + 3*c - 27, 3*l + 4*c - 14 = 0. What is the smallest common multiple of l and 8?
24
Let t(q) = -566*q**2 - 2*q + 2. Let g be t(2). Let x = g - -40825/18. What is the common denominator of 121/6 and x?
18
Let t = -2670 + 48007/18. Find the common denominator of t and -79/4.
36
Let b(w) = w**3 - 3*w**2 + 2*w + 2. Let l be b(2). Let y be 11/4 + 2/8. Suppose l*x = -y*x + 110. What is the lowest common multiple of 4 and x?
44
Suppose 2*w - 20 = -4*f, w + 5*f = -3*w + 55. Calculate the least common multiple of w and 36.
180
Suppose -m = 5*b - 47, -2*m + 78 = 2*m - 2*b. Suppose 0 = -0*x + 5*x - 40. Calculate the lowest common multiple of m and x.
88
Suppose 2*x + 3*o - 8 = 0, -2*x = -3*o - 2*o - 24. Calculate the smallest common multiple of 8 and x.
56
Let f(h) = -17*h**2 - h - 1. Let j be f(-1). Let x = j - -120/7. Let c = 4907/1178 + 2/1767. Calculate the common denominator of c and x.
42
What is the common denominator of (2 + -2)/(-5) - 2/6 and -93/40?
120
Let t = -14725/1784 + -5628577/326472. Let o = t - 1/183. Find the common denominator of -3/8 and o.
8
Let k(b) = b**2 + 1. Calculate the smallest common multiple of k(1) and 10.
10
Let t be 0 + (-6)/((-12)/10). Suppose 2*k = -3*r + 7, -t*k + 4*r + 55 = -r. Calculate the least common multiple of k and 10.
40
Calculate the smallest common multiple of 9*((-4)/(-12) - 0) and 16.
48
Let a(v) = v**2 + v + 2. Suppose 0 = 4*t - 0 - 20. Let q be -2 + 5/(t/4). What is the smallest common multiple of a(q) and 6?
24
Let u be 118/(28/(-3) - -2). Let d = u - -16. Calculate the common denominator of (2/(-12))/(1/67) and d.
66
What is the least common multiple of (-2 + 1)*(-30)/10 - -7 and 34?
170
Let j(z) = z**2 - 6*z + 5. Let l be j(4). Let r(f) = -11*f**2 - f - 6. Let u be r(-7). Calculate the common denominator of u/(-24) + l/(-9) and 9/14.
28
Find the common denominator of 177/(-24) - 2/8 and ((-100)/6)/(22/(-6)).
88
Let v = 17 - 9. What is the lowest common multiple of 8 and v?
8
Suppose -6*b - b = -49. Suppose -t = -5, 2*p - 3*t + 2 + 5 = 0. What is the smallest common multiple of p and b?
28
Let t = 510290 - 15311359/30. Let g = 459/5 + t. Suppose -2*p - 3*p + 10 = 0. What is the common denominator of p and g?
6
Let l = 14 + -5. What is the lowest common multiple of 2 and l?
18
Let w = -20 - -27. What is the smallest common multiple of w and 2?
14
Suppose -6 = -2*g - g. Let i(k) = 2*k - 5. What is the lowest common multiple of i(5) and 11 + g/(2 + -4)?
10
Let h(q) = 3*q - 4. Let y be h(3). Let w(z) = z. Let a be w(2). Suppose k = -y*u + 13 + 3, a*u + 8 = 2*k. What is the lowest common multiple of 22 and k?
66
Let g(q) = -5*q**3 - 5*q**2 - 8*q - 7. Let n(c) = -9*c**3 - 10*c**2 - 15*c - 13. Let j(t) = 7*g(t) - 4*n(t). What is the lowest common multiple of 3 and j(-4)?
3
Let y(d) = 294*d. Let i be y(-1). Calculate the common denominator of -69/8 and (3/(-9))/((-40)/i).
40
Suppose -4*a - 3 = -39. Suppose -3*m + 4*g - 15 = 0, 3*g = 6*m - 4*m + a. Let w = 11 - m. Calculate the least common multiple of w and 8.
40
Let i be (-5)/(-9)*3*3. Find the common denominator of 1/i*1525/20 and ((-2)/4)/((-24)/(-51)).
16
What is the least common multiple of (2/(-6))/(4/(-72)) and 16?
48
Let x be 2/4 + (-14908189)/582. Let w = -25615 - x. Let t = w + 2971/6402. Find the common denominator of -107/10 and t.
110
Let k(l) = l**3 - l**2 - 4*l + 2. Let j(b) = -2*b**3 + 3*b**2 + 11*b - 6. Let i(g) = -3*j(g) - 8*k(g). What is the lowest common multiple of i(-2) and 20?
80
Let p = -325865/9 + 36158. Let f = p - -151/3. What is the common denominator of 33 and f?
9
Let k = 3 + 23. Suppose -z = -o - 11 + k, 3*o - 40 = 4*z. Calculate the lowest common multiple of 22 and o.
220
Suppose -30 - 222 = -2*q - 3*j, 5*j + 268 = 2*q. Let y = 228 - q. Let w = -62 + y. What is the common denominator of 15/11 and w?
11
Suppose 5 = o + 2. Find the common denominator of o - 2*(-155)/(-28) and 137/12.
84
Let z = -291 + 1705/6. What is the common denominator of -5/12 and z?
12
Let d = -9763 - -175679/18. Find the common denominator of d and -87/8.
72
Calculate the common denominator of (-4)/(89 - 1)*107 and 27/10.
110
Let l = 1796/1593 + -133586231/15930. Let f = l + 8393. Let g = 1/13 - -11/26. What is the common denominator of f and g?
10
Suppose -7*d = -2*d - 20. What is the smallest common multiple of 9 and d?
36
What is the common denominator of -85/42 and (944/280)/(24/10)?
42
Let t(g) = 2*g + 15. What is the least common multiple of t(-6) and (-1)/(-4) + 19/4?
15
Let q = -6 + -3. Calculate the common denominator of q*14/20 - -2 and 23.
10
Let o = 5 - 17. Calculate the common denominator of (4 - 2)/(o/5) and -21/20.
60
Let s = 244 + -5361/22. Let k = 26 + -18. What is the common denominator of s and (-417)/k*(-16)/36?
66
Let l = -15003/4 + 3733. Let m be 14356/43086 - (-6)/(-18). Let s = m + 552957/143620. Calculate the common denominator of l and s.
20
Suppose 0 = -3*x - 0*x. Suppose x = -3*l - 6 - 3. Find the common denominator of -95/22 and (-98)/5*l/12.
110
Let i(c) = c**2 - 7*c + 2. Calculate the least common multiple of i(7) and 0/(-2) - (-1 - 13).
14
Let c = -4588 - -266193/58. Calculate the common denominator of c and -107/6.
174
Let l(c) = -c**3 - c + 16. What is the least common multiple of 14 and l(0)?
112
Let c = 22996/99 - 2120/9. Find the common denominator of 73/66 and c.
66
Suppose -4*l - 5*r + 57 = 0, -l + 2*r = -4*l + 34. What is the smallest