4
Let k(v) = -v**3 - 12*v**2 - 2*v - 15. Calculate the common denominator of k(-12) and -71/8.
8
Let t be (5/(-33))/(2/(-210)). Let v = 1607/110 - t. What is the common denominator of v and (-1148)/(-48) - (-2)/8?
30
Let k be 4/((-936)/(-92541)) - 3. Let w = -5334/13 + k. Calculate the common denominator of 99/8 and w.
24
Suppose -5*w + 3 = 2*f - 4*f, f - w = 0. Find the common denominator of f/5 - (-228)/(-120) and 81/10.
10
What is the common denominator of (-1235)/(-76)*(-2)/(-4) and 131/48?
48
Suppose j + 203 = 2*j. Suppose 2*n + 3007 = j. Let r = 11177/8 + n. Find the common denominator of -131/18 and r.
72
Let t = -15 + 24. What is the lowest common multiple of 6 and t?
18
Let u(k) = -k**3 + 4*k**2 - 3*k + 1. Let g = 18 + -13. Calculate the smallest common multiple of g and u(3).
5
Let d be 1926/(-10) - 10/25. Let u = -28 - d. Find the common denominator of 1/8 and (-100)/u - (-2)/(-3).
88
Let l = 6 + -1. Suppose 0*p + 2*t + 3 = 3*p, 0 = -l*p + t + 5. Calculate the common denominator of (-25)/(-15)*-7*p and -47.
3
Suppose 2*o + a = 15, -a - a = 5*o - 35. Calculate the smallest common multiple of o and 9.
45
Suppose -3*v - 58 = -10. Let k = -14 - v. What is the least common multiple of 10 and k?
10
Let d(w) = w**3 + 5*w**2 + 5*w + 4. Let i be d(-5). Let c be ((-1)/i)/(15/759). Let f = -1/105 + c. What is the common denominator of f and -87/2?
10
Find the common denominator of (2 - (-2 + 4)) + 88/(-231) and 31/3.
21
Suppose 4*g + 8 = 4*m, -g + 2*g + 16 = 3*m. Let t = 10 - 5. What is the lowest common multiple of m and (-1 - 1)*(t + -9)?
56
Let o be ((-1)/(-8))/((-7)/2254237). Let i = o - -40252. Let f = i - -19/8. Calculate the common denominator of f and -25/9.
63
Suppose 0*r = 3*r - 4*w - 180, 0 = w - 3. Calculate the smallest common multiple of r and 18.
576
Let v = -23611091/10 - -2365973. Let r = v + -4860. What is the common denominator of r and (17/(-4))/((-2)/(-4))?
10
Let s = 38 - 36. What is the smallest common multiple of s and 6?
6
Let r = 328/5 + -263/4. Calculate the common denominator of r and -23/32.
160
What is the common denominator of -61/12 and 1/3 - 834/(-144)?
24
Suppose 0*h + 4*h - 12 = 3*p, -3*h + 26 = 2*p. Suppose -n = -h*n + 15. Calculate the least common multiple of n and 1/2*(14 + 0).
21
Find the common denominator of -143/30 and 23*(-2)/(-6)*1.
30
Let y = -31/15 + -101/15. Find the common denominator of y and -89/15.
15
Suppose 3*u - 28 = -7. Let b(f) = f - 1. Let m = 9 + -5. What is the least common multiple of u and b(m)?
21
Let x(b) = -b**2 + 4*b + 7. Calculate the lowest common multiple of 11 and x(5).
22
Calculate the common denominator of 11/6 and ((-6)/(-54))/(-2 - (-294)/146).
18
Suppose -c + 2*v - 3 = 0, 0*v = -5*c + 2*v - 15. Let x = -13 - c. Calculate the common denominator of ((-34)/x)/((-4)/(-30)) and -23/10.
10
Let m = 4 + 0. Suppose 5*j - 2*j - 37 = -4*h, -h + 5*j + 15 = 0. What is the smallest common multiple of h and m?
20
Let g be (119326/40)/(4/5). Let v = -3726 + g. Find the common denominator of v and 4/10 - 273/30.
80
Let k = -5 + 11. What is the common denominator of (k/(-28))/(6/200) and -113/6?
42
Suppose -4*o + d = 3 - 11, 5*o - 5*d - 25 = 0. Calculate the lowest common multiple of 14 and -24*((-2)/4)/o.
84
Let n = -6591 + 520705/79. Let o = 4065/1738 - n. What is the common denominator of (-541)/(-110) + 6/(-10) and o?
22
Find the common denominator of -3 and (12/(-24))/((-6)/(-292)).
3
Let r = -328 - -581/2. Calculate the common denominator of r and (6/(-5))/((-216)/675).
4
Let x be (-2)/4 + 13/(-2). Calculate the least common multiple of 12 and ((-60)/21)/(2/x).
60
Let x be 24/(-9)*15/(-20). Suppose 5*b = -2*g - 77, 5*b - g + 44 = x*b. Calculate the common denominator of -101/6 and b.
6
Let n(w) = w**3 - 4*w**2 - 7*w + 5. Let s be n(5). Find the common denominator of -1 - 1 - 101/(-8) and 18/4 + 5 + s.
8
Let u = 15 - 9. Let j = 7 + -5. What is the smallest common multiple of u and j?
6
Let j(o) = 2780*o - 9. Let a be j(3). Let f = -66733/8 + a. Find the common denominator of f and -19/34.
136
Let m = 31 - 26. What is the least common multiple of m and 9?
45
Let o = 42 - 6. Let t = 74 - o. Let g = t + -16. Calculate the least common multiple of g and 12.
132
Suppose 2*m = 3*m + 5*b + 47, -4*m - 3*b = 103. Let o = 26/275 - 19484/2475. Calculate the common denominator of o and m.
9
Let x(j) = -j**3 - 2*j**2 + 3*j + 2. Let k = 13 - 16. Calculate the lowest common multiple of x(k) and 11.
22
Let v = -3361/3 - -1096. Find the common denominator of -19/7 and v.
21
Let l = 3 - 0. Let i be (-6 - 4/2)/1. Let q = i + 13. Calculate the lowest common multiple of q and l.
15
Let l = 1 + 5. Suppose 0*h - l = -h. Calculate the lowest common multiple of h and 14.
42
Suppose 0 = -3*n + 7*n - 8. Find the common denominator of 97/(-12) - (-4)/(-6) and n/(-5) - (-1)/(-5).
20
Let l be 2/1 + 1995/(-18). Let b = -320 + 197. Let t = l - b. Find the common denominator of t and 33/4.
12
What is the least common multiple of (1 - (-2)/(-3))*3 and -3*6/45*-5?
2
Let w be (-30)/(-8) + (-2)/(-8). Suppose -25*n + 21*n = 12. Let t = w - n. Calculate the smallest common multiple of 9 and t.
63
Suppose -2*x - x + 2*m + 76 = 0, 3*m - 51 = -3*x. Calculate the least common multiple of x and (132/15)/((-2)/(-5)).
22
Let a be (-4)/124*(-10)/7. Let p = a + -21069/434. What is the common denominator of 61/14 and p?
14
Let w = -58375/5988 - 2/1497. Let i be 18/5 - 2/(-5). What is the common denominator of w and 3 + (-3)/(42/i)?
28
Suppose 0 = 2*d - 1 - 7. Suppose -2*f + 6*f = 5*n - 30, -4*n + 24 = 2*f. What is the lowest common multiple of n and d?
12
Let l(h) = -h**2 - 11*h - 9. Let q be l(-9). Let f = 13 - q. Calculate the smallest common multiple of 2 and f.
4
Let j(x) = -536*x**2 + x + 7. Let m be j(-3). Let t = m - -154291/32. Calculate the common denominator of -139/12 and t.
96
Let z = 78 + -62. Suppose 0 = -n + 5*k + 4, -3 - 9 = -3*n + 5*k. What is the least common multiple of n and z?
16
Let s = -8/25 + 223/150. Let r = -2152497 + 17242597/8. Let x = -2820 + r. Find the common denominator of x and s.
24
Calculate the least common multiple of 8 and (188/12 - -4) + (-1)/(-3).
40
Let l be (0 - 2) + 1 + 4. Let p(c) = -c + 2. Let s be p(l). Calculate the common denominator of -81/14 and (3/(-24))/(s/(-79)).
56
Suppose -10 + 26 = 4*m. What is the smallest common multiple of (-38)/(-4) + m/(-8) and 9?
9
Let v = -34 - 1. Let z = v + 63. Suppose -48 = -4*s - 4*x, 2*s = 5*s - x - z. What is the lowest common multiple of 12 and s?
60
Let w be 26/(-6)*6/1. Let m = w + 1. Calculate the common denominator of -83/8 and (2/m)/((-4)/265).
40
Let m = -1139/60 + 11/15. What is the common denominator of m and ((-1612)/624)/(2/(-18))?
4
Suppose 0 = -d - 3*d + 24. Suppose 0 = d*j - 2*j - 4. Find the common denominator of 139/6 and (-364)/24 - 1/j.
6
What is the common denominator of 113/18 and 6/(-63)*(-804)/16?
126
Suppose 5*b = 3*b. Let l = 2 + b. Suppose t - x - 10 = 0, -2*t - 52 = -6*t - l*x. Calculate the smallest common multiple of 16 and t.
48
Let w(a) = a**2 + 11*a - 3. Let l be w(-11). Calculate the smallest common multiple of -15*(2 - (-8)/l) and 6.
30
Let z be 6/(3/(27/6)). Let u be (-554)/2358 - (-2)/z. Let n = 3985/4323 + u. Find the common denominator of n and -95/8.
88
Let q = -11668 + 116781/10. Let s = 51479/10150 - 2/5075. What is the common denominator of q and s?
70
Let b = -33379/9 - -3716. What is the common denominator of 38/9 and b?
9
Let m = -11/25 + 127/50. What is the common denominator of 113/18 and m?
90
Let k = 79330147940946/701 + -113167086322. Let d = k + -1099452634219/37727820. Let o = d + 1/5980. What is the common denominator of 13/14 and o?
126
Let q = 17217776/57 + -302056. Let a = -3/38 + q. Calculate the common denominator of a and 762/220 + 4/10.
66
Suppose c - 4 = 2*a - 43, -5*a = -5*c - 110. Suppose -71 + a = -3*m. What is the lowest common multiple of m and 4?
36
Let l = 504 + -211. Let t = l - 3003/10. Find the common denominator of -54/7 and t.
70
Let v = -22298/11 + 2032. Find the common denominator of v and -54/25.
275
Let x be 1091/2 + (-8)/(-12). Let h = -17770/33 + x. Let z = h + 152/11. Calculate the common denominator of z and 40/3.
6
Let c = 717 - 713. Calculate the least common m