 Let u(b) = 9*b**2 - 1. Calculate the lowest common multiple of u(q) and 6.
24
Suppose 0 = -2*l - 2483 + 233. Let o = -11227/10 - l. Calculate the common denominator of o and 3/12 + (-1771)/(-396).
90
Let n = -64350562/10839843 + -4/172061. Let f = 33/7 + n. Let h = 129/2 - 533/8. What is the common denominator of f and h?
72
Let v be (-4)/26 - 924995/(-715). Let u = v - 1292. What is the common denominator of -31 and u?
11
Suppose -2*x = -0*x - 4. Suppose w - x + 0 = 0. Suppose 0 = -w*l - 3*l + 10. What is the lowest common multiple of 20 and l?
20
Let g = 32779/22 + -2989/2. Find the common denominator of 31/11 and g.
11
Let c = 4 - 23/8. Let u(p) = -5*p**2 + 4*p + 6. Let h be u(-4). Calculate the common denominator of ((-12)/h)/(4/93) and c.
40
Let q = 11 + -8. Suppose -60 + 18 = -q*m. Suppose t = 6*t - 4*a - 14, -4*a = 5*t - 6. Calculate the lowest common multiple of m and t.
14
Let u = 559 - 1630/3. Let o = 2/181 + -10685/543. What is the common denominator of u and o?
3
Let y be (-255)/10 + (-6)/(-4). Find the common denominator of 45/11 and 530/y + (-9)/(-36).
66
Let c = 20 - 3. Calculate the common denominator of -31/8 and 2/5 + c/70.
56
Let c(o) = -5*o + 3. Let a be c(3). Let g(p) = p + 24. Let d be g(0). Let i = a + d. Calculate the lowest common multiple of 6 and i.
12
Let o = 13762113/10 - 1373883. Let l = 3810 - 1488. Let d = l - o. Find the common denominator of d and -31/5.
10
Suppose 5*m - 12 = 3. Let q be m/9 - (-11)/3. What is the least common multiple of (-1 - -2)/(2/q) and 8?
8
Let x be (-2 + 4)*3/6. Let s be (6/4)/(2/(-32)). What is the common denominator of x + (63/s)/(-3) and -41/4?
8
Let u = 1 - -2. Let o be (-23175)/(-40) - (u - 1). Let k = -579 + o. What is the common denominator of k and -7?
8
Let d(r) = 4*r**3 - r**2 + 2*r + 1. Calculate the least common multiple of 7 and d(2).
231
Let h = -2988 - -17825/6. What is the common denominator of 21/16 and h?
48
Let k = 161 + -73. Suppose 0 = 4*i - 0*i - k. Calculate the smallest common multiple of 8 and i.
88
Suppose 3*w - 19 - 5 = 0. Calculate the smallest common multiple of 12 and w.
24
Let t(h) = h + 14. What is the lowest common multiple of 2 and t(-8)?
6
What is the common denominator of -37/8 and 34/12 - -2 - (-3 + 2)?
24
Let a = -61283/5076 + -13/1269. Let u be ((-2)/6 - 1)*12. What is the common denominator of a and (78/35)/(u/(-14))?
60
Let g = 1506 - 18007/12. Let b = 11057/14 + -791. Find the common denominator of b and g.
84
Suppose 5*p - 2*x - 42 = 2*x, -5*x + 15 = 5*p. Suppose 0 = q + 2. What is the least common multiple of (q + (-16)/(-6))*9 and p?
6
Let v = -2023 + 16163/8. Let b be 4/(-3)*(-3)/(-2). Calculate the common denominator of v and 5/12 + b - -2.
24
Let o = -4/881 - 71329/7048. Let c = 2/70843 - -32021014/779273. Let r = c + -299/22. Calculate the common denominator of o and r.
8
Let g = 18 - 25. What is the common denominator of 17/11 and 22/(-35) - g/35?
77
Let g = 3/5537 - 227071/99666. Calculate the common denominator of g and -95/12.
36
Let o(f) = 14*f - 51. Calculate the least common multiple of o(9) and 33.
825
Let l(g) = -g**3 - 15*g**2 + 12. What is the smallest common multiple of 48 and l(-15)?
48
Let n = -93 - -129. Calculate the smallest common multiple of 6 and n.
36
Let i be (-16)/6 + 8/12. Let p = 1 + i. Find the common denominator of -17/4 and 94/44*p - 2.
44
Let q = 9677/4 - 2394. Find the common denominator of q and 31/10.
20
What is the common denominator of 89/12 and 3965/(-770) + (-4)/(-14)?
132
Find the common denominator of (4/((-128)/468))/(3 - 6) and 37.
8
Let g = 2679/5 + -531. Find the common denominator of g and 56/9.
45
Let x = 1205/602 - -3/43. Let l = 37606519/7771768 + -41/55912. Let k = l - 2/417. Calculate the common denominator of k and x.
42
Let b be 12/66 - 13/11. Find the common denominator of -57/10 and 156/16 - b - 4.
20
Let n = 13 - 9. Suppose 5 - 26 = -3*r. Suppose 0 = -n*i + 3*i + r. Calculate the common denominator of i and -33/8.
8
Calculate the common denominator of -93/8 and ((-93)/49)/(18/(-63)).
56
Suppose 3*z - 16 = -z. Let o(w) = -2*w + 9. Let r(k) = 2*k - 10. Let b(n) = -5*o(n) - 4*r(n). Calculate the lowest common multiple of z and b(7).
36
Let a = 11983976/7 + -1715912. Suppose 0 = -m - 1571 + 5480. Let l = a + m. What is the common denominator of l and -37/10?
70
Suppose 3 + 2 = 5*c. What is the common denominator of ((-3)/(-27))/(c/(-20)) and 15/7?
63
Let n(v) = -v**3 + 5*v**2 + 3*v - 6. Let s be n(6). Let r = s - -43. Calculate the common denominator of (r/4)/(4/(-20)) and -45/7.
28
Let j = -3254/15 + 619/3. What is the common denominator of -59/8 and j?
40
Find the common denominator of 111/28 + 5/(-20) and -77/8.
56
Let i(v) = 8*v**2 - 4*v + 6. What is the smallest common multiple of i(2) and 22?
330
Suppose -27 = -4*d + 5. Suppose 0 = -2*r + 3*m + 42, -d*r + 4*r + 82 = -5*m. Let z = 9 - -3. Calculate the least common multiple of r and z.
36
Let m(a) = 10*a + 6. Let l be m(6). Suppose 3*i - p = i + 44, l = 3*i - 2*p. Calculate the least common multiple of i and 16.
176
Let k be (-5)/5 + 266/(-2). Let l = -323813/20 - -16195. What is the common denominator of 3/(-6) - k/16 and l?
40
Suppose -4*j = f + 1, -2*j + 2*f = -0 - 12. What is the smallest common multiple of j and 11 + 1 + -2 + 1?
11
Let r = -6 - -3. Calculate the smallest common multiple of 3 and (21/7)/(r/(-4)).
12
Suppose 0 = -3*o + d - 5, 0 = -2*o - 2*o + 2*d - 4. What is the least common multiple of (-4 + 1)*20/(-3) and (4/o)/((-4)/6)?
20
What is the smallest common multiple of 30/9*(5 - 2) and 1?
10
Suppose -5*m = -15, -4*m = 4*z + m - 110327. Let f be 2/(-4) - z/4792. Let l = 3/599 + f. Calculate the common denominator of l and 9/7.
28
Let q = -1534/7 - -9505/42. Find the common denominator of q and 20/11.
66
Calculate the smallest common multiple of 22 and 32/2 - (-1 + -1).
198
Let h be 6/(-3)*(1 - 2). What is the smallest common multiple of 11 and 7/5 + h/(-5)?
11
Suppose -4*k + 13 - 5 = 0. Suppose -3*r = -y - 83, -k*y - 3*y = 3*r - 107. Find the common denominator of -7/3 and r.
3
Suppose -g - 5 = c - 4*g, 0 = 3*c + g - 35. Calculate the least common multiple of c and 58.
290
Let g = 14/112714489 + 27124688914754491/1352573868. Let p = g - 20069231. Let t = -15094 - p. What is the common denominator of t and -45/16?
48
Let v(s) = 2*s**2 - 7*s - 5. Let q be v(7). Let m = -2853/4 - -692. Calculate the common denominator of m and -3 + -2 + q/40.
20
Suppose 0 = -3*l + l + 22. Calculate the smallest common multiple of 3 and l.
33
Let b = 17825/1596 - -33/133. Calculate the common denominator of b and 99/2.
12
Let l = 5 + -1. Find the common denominator of -79/6 and (l/(-96))/((-1)/(-158)).
12
Suppose 450 = -0*x + 9*x. What is the least common multiple of 14 and x?
350
Suppose 180 = 4*k + k. Suppose 4*i = -0*r - 4*r + 4, r - 25 = -5*i. Find the common denominator of (-13)/i + 3 + 2 and k.
6
Let b(m) = 2*m**2 - 2*m - 4. Calculate the smallest common multiple of 28 and b(4).
140
Let l be 9/(-3) + -1 + 28. Suppose 0 = -3*x - 3*v + 36, -3*v - l = -x - 8*v. What is the lowest common multiple of x and 11?
99
Let l = 20 - 2. Let o(i) = i**2 + 5*i - 20. What is the least common multiple of l and o(-10)?
90
Let j be ((-12)/(-2) + -2)*101. Calculate the common denominator of -45/19 and j/(-12)*3/2.
38
Let o(h) = h**3 + 5*h**2 - 3*h - 7. Suppose 3*m - 7 = -4*k + 13, 7 = m + k. Calculate the lowest common multiple of m/10*(-5)/(-2) and o(-5).
8
Suppose y = 4*z - 15, -4*z - 4*y + 0*y = 0. Suppose 3 + z = 2*p, -5*p = -q - 9. Calculate the lowest common multiple of q and 22.
66
Suppose 2 = -4*y - 3*d - 0, -d = -4*y - 10. What is the common denominator of (-17)/y - 6/(-8) and (-586)/80 + (-1)/(-5)?
8
Let d be (-1 - (-3592)/3590)/(-1). Let j = d - 77171/25130. Find the common denominator of 55/6 and j.
42
What is the lowest common multiple of (36/21)/(6/105) and 40?
120
Let f = 3807/310 - 49/31. What is the common denominator of f and 34?
10
Let h = -21442 - -385849/18. Find the common denominator of h and -139/12.
36
Let z = -27423293/20 - -1371867. Let d = -707 + z. What is the common denominator of d and -77/20?
20
Let o = 12/84328458355 + -12413368324103731/1799063330545570. Let i = -1/10667 + o. Find the common denominator of 27/8 and