i**2 - 13*i + 11. Let o be g(12). Find the common denominator of ((-5)/(-6))/(o/23) and 128/6 + -2 + -2.
6
Suppose 0 = 5*g - 3*m + m - 23, -m - 19 = -5*g. Let j be -14 - 12 - 2*-2. Calculate the common denominator of g*20/144*j and 35/22.
66
What is the common denominator of 0 + 720/100 - (-4)/2 and (-27)/(-2) - (1 - 0)?
10
Let r = -18607/12 - -1554. What is the common denominator of r and 3/18 - ((-1159)/(-120))/(-19)?
120
Let g(l) = 2*l**2 + 2*l + 1. Suppose p = 5*b + 6, -2*b - 8 = 5*p - 38. What is the least common multiple of g(-1) and p?
6
Suppose -5*h + 18 = 3*f, -30 = -12*f + 7*f - 3*h. What is the lowest common multiple of 3 and f?
6
Suppose 0 = 4*s - 11 + 3. What is the common denominator of (-245)/12 - s/(-3) and -103/18?
36
Let x = -130 - -309/2. Let p = 48/49 - 437/196. Find the common denominator of x and p.
4
Let i(b) = -3*b**3 + b + 1. Let j be i(-1). Find the common denominator of j - ((-5)/(220/14) + -1) and 101/12.
132
Suppose 0 = 162*h - 155*h - 3612. What is the lowest common multiple of 12 and h?
516
Let l = 433119/43 - 10073. What is the common denominator of l and 29/6?
258
Let q = 24/413 + -3175/826. Suppose 5*v + 497 - 8037 = 0. Let t = v + -12079/8. Find the common denominator of t and q.
56
Calculate the smallest common multiple of (-44095)/(-15) - 4/(-12) and 14.
2940
Let n = 2 - -27. Suppose 4*o - 3 - n = 0. Calculate the least common multiple of o and 20.
40
Find the common denominator of 6/(-15) - 9410/(-20900) and -29/8.
1672
Let w = 16 - 11. What is the least common multiple of 9 and w?
45
Let l(c) = -c**2 + 4. Let h be l(-3). Suppose -1 = 2*o + 65. Calculate the smallest common multiple of (-9)/h*(-110)/o and 7.
42
Suppose -18*o = -6*o + 456. Find the common denominator of o/133 - (-638)/28 and -107/10.
10
Let x be (-5 - -2)/((-6)/(-4)). Let c be 38/(-10) + x/10. What is the smallest common multiple of (-2 + (-9)/6)*c and 14?
14
Suppose -4*y + 2*q = -2*y - 14, 3*y - q - 15 = 0. Let n(c) = 2*c + 8. Let t be n(11). Suppose 6*z - 9*z = -t. What is the lowest common multiple of z and y?
20
Let z = 271/10 + -49/2. Suppose -6*x + x = 120. What is the common denominator of x and z?
5
Let f be 10/(-3)*(-144)/30. Suppose -2*l + 3*l = f. Let o = 36 + -26. What is the least common multiple of l and o?
80
Let j(h) = -2*h**2 - 4*h + 10. Let k be j(-9). Calculate the common denominator of (4 + (-11)/4)*k/(-70) and 3/(-6) - (-25)/16.
112
Let y(d) = d + 7. Let x be y(-7). Suppose -5*v + 0*v - 20 = x. Calculate the least common multiple of 10 and (v + 1)/(-3) - -3.
20
Let k = 1/26 - 15/52. Let m = 2968 - 884471/298. Let p = m + -8181/596. What is the common denominator of k and p?
4
Let j be (-22)/6 + (-4)/(-6). Suppose 51*w = 48*w - 6. Calculate the common denominator of w + 152/18 + j and 40/3.
9
Let o = 114 - 72. Suppose 0 = -4*z + 2*v + o, 0*v - 30 = -2*z + 4*v. Calculate the lowest common multiple of z and 4.
36
Suppose -2*h = -3*m + 5, 4*m - 8*m + 2*h = -8. Suppose -5*y + 37 = -2*t, 5*y + 13 = -3*t + 4*y. Calculate the lowest common multiple of m and -8*(1 + t/4).
12
Let g be 5/25 + (-2)/10 - 3. What is the common denominator of (-422)/24 + 4/(-16) and -1 + g + 726/60?
30
Suppose -2*s - 56 = -f - 244, -3*f + 94 = s. What is the lowest common multiple of s and 5?
470
Suppose -3*j - 5 = 2*y, -5*y - j + 4*j + 19 = 0. Suppose 0 = -5*x + 4*w, y*w = x - 0*w + 6. Calculate the least common multiple of 2 and x.
4
Let a(p) = p**2 + 4*p - 3. Let v be a(2). Suppose -w = 2*w - v. Suppose 0*u = w*u - 66. What is the smallest common multiple of 18 and u?
198
Let m be (-51)/(-9) + (-4)/6. Suppose -h = 2*g - 25 + 5, -25 = -5*h + m*g. What is the least common multiple of 11 and h?
110
Let x = -1 - -4. Suppose 1 = -x*h + 7. Suppose -5*n - 2*a = -22, 34 = -h*n + 7*n - a. What is the smallest common multiple of 7 and n?
42
Suppose 0 = f - 12 - 2. Suppose -41 = -h - 3*b - f, -186 = -5*h + 2*b. What is the common denominator of ((-39)/(-90))/(8/h) and -27/4?
20
Suppose 0 = 4*h + a + 20, 3*h + 4 = h - 2*a. Let y(q) = -q**3 - 5*q**2 + 4*q - 6. Calculate the smallest common multiple of y(h) and 22/3 - 1/3.
42
Calculate the common denominator of (-8212)/1488 - (-12)/(-186) and -83/60.
60
Suppose 2*y - 24 - 168 = -4*m, 5*m = -4*y + 234. Calculate the common denominator of 1 - 2 - (-365)/m and 57/10.
10
Let d = 11 - 7. Suppose 4*n = 2*v + 3*v + 32, -3*n - 2*v + 24 = 0. Calculate the smallest common multiple of n and d/(2/(-24)*-3).
16
Suppose 4*b - 6 = 2*b. Suppose -1 + 5 = -2*c - b*h, -6 = 2*c + 4*h. What is the lowest common multiple of 8 and c?
8
Let w(x) = -2*x + x - 2 + 1 - 5. Let o be w(-10). Suppose 0 = o*j + h - 105, 15 = -4*j + 3*h + 116. Calculate the least common multiple of 14 and j.
182
Let b be 0/(7/(21/9)). Suppose 6*j - 7 - 11 = b. Let f(n) = 3*n + 3. What is the smallest common multiple of f(j) and 3?
12
Let p(f) = 2*f**3 + 27*f**2 - 22*f - 11. Let b be p(-19). Let n = b + 21467/6. Calculate the common denominator of -13/8 and n.
24
Suppose 1 = -j - 2*i, -7*i + 3*i = -5*j + 65. Suppose -26 = 4*l - y + 6*y, 2*y + 4 = 0. Let f = l + j. What is the smallest common multiple of f and 1?
5
What is the common denominator of (6/((-480)/(-8)))/(12/695) and ((-548)/6 - 0)/12?
72
Let d be 15/(-48)*(592 - 2/(-1)). Let s = 1817/8 + d. Find the common denominator of s and 29/4.
4
Suppose 2*w + x = 17, 0*w - 4*w - 5*x + 49 = 0. Suppose -12 = -5*m + 8, -11 = r - 3*m. Let t = 5 - r. Calculate the lowest common multiple of w and t.
12
Let b = 97753/24 + -4076. Let t = 5/3856 + -102259/57840. What is the common denominator of b and t?
120
Let r = 1 + 2. Suppose 1 = -r*b - 119. What is the common denominator of b and 25/9?
9
Let r be (1262/4)/((-372)/15). Let n = r + 158/31. Let o = -673/935 - -4/55. Find the common denominator of o and n.
136
Suppose 219*w - 133*w = 86. Suppose 3*p - 4*f = -1, -4*f + 28 = p + 7. Calculate the smallest common multiple of p and w.
5
Let o be (-46)/(-14) - 9/((-63)/(-2)). Suppose 3*t = o*q - 36, 4*q + 2*t = -t + 13. Suppose 3 + 2 = x. What is the lowest common multiple of q and x?
35
Let x(i) = -5*i**2 - 194*i - 29. Calculate the smallest common multiple of 418 and x(-37).
3344
Let u be (-2)/(-8) + 3098403/(-12399516). Let v = 651446695/1072558134 - u. Let f = v + 2/519. What is the common denominator of 9/2 and f?
18
Let j be (-1 - -12) + 12 + -8. Suppose j = 4*g - 5*w, 5*w = -0*g + 2*g + 5. Calculate the smallest common multiple of g and 4.
20
Let a = -281 - -308. What is the lowest common multiple of a and 84?
756
Suppose -25*b + 43 = -26*b. Let x(v) = -v**2 + v - 41. Let y be x(0). What is the common denominator of b and (y/(-2))/((-15)/(-6))?
5
Find the common denominator of 1/42 and -1 + 4167/(-1458) + 3.
1134
Let p = -18 - -45. Suppose -42*y = -37*y - 15. Calculate the smallest common multiple of y and p.
27
Let w(r) be the second derivative of r**4/12 + r**3 - r**2 + 3*r. What is the smallest common multiple of 4 and w(-7)?
20
Suppose -2*a - 126 = a. What is the common denominator of 3 + 75/a - 1 and (-1 - (-33)/24)/(12/(-28))?
56
Suppose -3*f - f - 4 = 0. Calculate the common denominator of 9/(-14)*(-104)/12 and 122/5*f/2.
35
Let q = -1967/10824 - 12/451. What is the common denominator of q and -29/6?
24
Let v = 76 - 71. What is the lowest common multiple of 8 and v?
40
Suppose 0 = -g - 21 + 7. Let q = g + 16. Suppose 2*p - 1 - 5 = 0. What is the least common multiple of p and q?
6
Let n = 1935 + -15525/8. Let t = 2869337/1298 - 14025/118. Let h = -2087 + t. Find the common denominator of n and h.
88
Let w = -11188 + 134179/12. What is the common denominator of w and 127/270?
540
Let g = 5319/20 + -2133/8. Calculate the common denominator of g and 0 + ((-8200)/(-192))/(-25).
120
Suppose -2*s - 2*s + 36 = 0. Suppose -41*y + 242 = -45. What is the lowest common multiple of s and y?
63
Suppose -21*l + 9*l = -8976. Calculate the least common multiple of l and 20.
3740
Suppose -55*d + 233 + 524 + 68 = 0. Let z = -57 + 102. Calculate the smallest common multiple of z and d.
45
Let m = 17025 + -306361/18. What is the common denominator of m and -91/688?
6192
Let g = -14/817 + -62741/9804. Find the common denominator of g and (-4473)/1530 - (-6)/10.
204
Suppose 7 = 5*d - z, 2*d - z = -5*z + 16. Calculate the lowes