 -5/8.
72
Let y = -35637331061521673928787/622740 - -57226661305737992. Let g = y - 2118933/97. Let w = 1/321 - g. What is the common denominator of 47/10 and w?
20
Suppose 2 - 82 = -2*q. Suppose 7*g = 2*g + q. Suppose 2*k - 37 = o, 11 + 6 = k - o. What is the lowest common multiple of g and k?
40
Let a(g) = 1486*g**3 + g**2 - g - 1. Let v be a(2). Let s = v + -166359/14. Find the common denominator of s and 23/2.
14
Suppose 0*w + 24 = 4*w. Calculate the lowest common multiple of 5 and w.
30
Suppose 0 = -m - 5 + 1, 2*j + 5*m - 24 = 0. What is the least common multiple of j and 2?
22
Let x be 172/3*6/28. Let m = x + -305/14. Find the common denominator of m and 61/4.
4
Let c = 150 + -136. Calculate the least common multiple of c and 10.
70
Let p = 5 + -6. Let s = 21 - p. What is the least common multiple of s and 10?
110
Let x(i) = 97*i + 8. Let t be x(-11). Let l = 21143/20 + t. What is the common denominator of 1/6 and l?
60
Let z be 2/(-5) - 111/(-15). Let y = z + -13. Let n = y - -9. Calculate the least common multiple of 3 and n.
3
Suppose -5*u + 7 = 3*n, -16 = -n + u - 3. Calculate the least common multiple of n and 16.
144
Let s(k) = -k**3 - k**2 - 2*k - 1. Let y be s(-1). What is the common denominator of y/(-4) + (-35)/2 and (-2)/7 - (-1214)/84?
12
Let y = -47353/16 - -2955. Calculate the common denominator of 1413/462 - 2/7 and y.
176
Let a = 1250 - 12573/10. Let v(d) = d**3 - 3*d - 1. Let y be v(-2). Calculate the common denominator of (-3)/y + (-38)/(-9) and a.
90
Suppose -s + 84 = 6*s. Suppose -4*d + 20 = -5*h, -5 = 3*d - 4*h - 20. Suppose -d*p = 2*a - 27, -5*p = -p - s. What is the smallest common multiple of a and 2?
6
Let a = 415 - 739/2. Let r = 821/2 + -430. Calculate the common denominator of a and r.
2
Let l be ((-190131)/10670)/((-21)/6). Let w = -1/3395 + l. Find the common denominator of -45/7 and w.
77
Suppose -3*n - 2*a + 18 = -0*a, -3*a = 3*n - 18. What is the lowest common multiple of 4 and n?
12
Let h = -9 - -7. Let f(n) = 11*n**2 - 4. Calculate the common denominator of -31/5 and f(h).
5
Let b be 14/21*(-15)/(-2). Suppose b*g + 10 = 6*g. Calculate the smallest common multiple of 22 and g.
110
Let t = 35973/20 - 1798. What is the common denominator of t and -31/10?
20
Let w = -15 - -21. Suppose 101*x - 6 = 98*x. Calculate the least common multiple of x and w.
6
Let l(t) = 6*t**2 - 2*t + 1. Let q = -3 - -5. What is the least common multiple of l(1) and q?
10
Let d = -11 + 10. Let l = d + 8. Let x = 12 + -4. What is the lowest common multiple of l and x?
56
Suppose d = 3 - 0, -5*r - 4*d + 122 = 0. Let p = -15 - -35. What is the least common multiple of r and p?
220
Suppose -4*z - 2*o - 4 = 0, 2*z - 10 = 3*o + 2*o. Suppose z*c + 4*c - 80 = 0. Find the common denominator of 29/4 and 62/c - -1 - 1.
20
Calculate the common denominator of 67/36 and 152/(-64) - (-1 - -4)/12.
72
Suppose -5*w + 0*v + 23 = 3*v, -21 = -4*w - 5*v. Let x = 3 + 2. Suppose -2*r + 4*r - 25 = -x*d, 6 = r - 4*d. What is the smallest common multiple of w and r?
20
Let v(m) = -3*m + 9. Let u be v(7). Let g = -2 - u. What is the common denominator of -85/14 and (-4)/g - 806/60?
42
Let r(z) = -10*z - z + 21*z. What is the least common multiple of r(2) and 2?
20
Let j be (20/(-25))/((-2)/5). What is the smallest common multiple of 12 and 0/(-3) + 24 - j?
132
Let p(y) = -y**3 - 3*y**2 - y. Let m be p(-3). Suppose m*g = 27 - 9. What is the smallest common multiple of g and 8?
24
What is the smallest common multiple of (1 + -51)*(-12)/30 and 22?
220
Suppose 20 = j + j. Suppose -p - 2*z + 9 = -z, -4*p - 5*z = -41. What is the smallest common multiple of j and p?
20
Let n = -1877/5 + 385. What is the common denominator of n and (-70)/(-4) + 2 - 1?
10
Let d be (2/(-5))/((-9591)/(-15)). Let s = d - 147048/22379. What is the common denominator of 17/5 and s?
35
What is the common denominator of -75/8 and (6/15)/(4/(-82))?
40
What is the common denominator of -5/12 and 6/(-21) - 320/(-42)?
12
Let b be (-1)/((-3)/(-2 + 5)). Let m = 2 + b. Suppose -w - 4*w = -25. What is the least common multiple of m and w?
15
Find the common denominator of ((-19)/(-5))/(4 - (-4)/(-10)) and (-2)/(-4)*119/6.
36
Suppose 0*z + 3*z - 15 = 0, 3*r - z - 13 = 0. Suppose 0 = g - 5*s - 8, -3*g - 3*s = -2*g - 8. Calculate the least common multiple of r and g.
24
Suppose 11 + 4 = 5*z. Suppose 4*n + g = -z*g + 356, -91 = -n - 2*g. What is the common denominator of -25/8 and 10/(-3 + n/33)?
8
What is the common denominator of 712/12*(-3)/40 and -79/20?
20
Find the common denominator of 167/30 and 174/(-16)*(-10)/(-9).
60
Let r(f) = f**2 + 26*f + 28. Calculate the smallest common multiple of 9 and r(-25).
9
Let i = -98 + 16. What is the lowest common multiple of 12/78 - 206/(-13) and (-1)/2 + i/(-4)?
80
Let h = 8/671 - -463565/8052. Let v be (-181)/(-18*6/(-9)). Let b = h + v. What is the common denominator of b and 12/7?
14
Let p(x) = x - 4. Let d be p(8). Suppose 4*m = 2*m + d. Suppose -h - 3*c + 4*c + 1 = 0, 2*h - 5 = -c. Calculate the lowest common multiple of m and h.
2
Let o = 968/3 - 317. Calculate the common denominator of -69/2 and o.
6
What is the smallest common multiple of -2*(-3)/(12/14) and (-10)/(2/(-4)*2)?
70
Let z(y) = y**2 - 6*y - 7. Let l be z(5). What is the common denominator of 3/l - (-253)/36 and 55/8?
72
Suppose 0*n + 10 = 2*n. Find the common denominator of 25/20*(-1)/n and ((-1)/3)/((-20)/(-84)).
20
Suppose -27 = 4*n + 5*x, -x = -3*n - 0*x - 6. Let j be 1 - (n + 2 - 1). What is the common denominator of 119/12 and ((-111)/54 - j) + 0?
36
Let d be ((-2)/(-3))/((-224)/(-681126)). Let r = -16275/8 + d. Let c = 555 - 11041/20. What is the common denominator of c and r?
140
Suppose -5*g - m = 67323, 48370 + 5480 = -4*g + 2*m. Let y = g - -215325/16. Let o = 39207/10 + -3917. Calculate the common denominator of y and o.
80
Let r be -1*(-2)/(-4)*0. Let y = 11 - r. What is the lowest common multiple of 9 and y?
99
Suppose 2*r + 46 = 2*v, 0 = 2*v + 2*r - r - 43. What is the least common multiple of v and 18?
198
Let f(q) = q**3 + 25*q**2 - q + 2. What is the smallest common multiple of f(-25) and 27?
27
Let d = -3 + 1. Let y be (-553)/(-49) - d/(-7). Let a = -9 + y. What is the smallest common multiple of a and 4?
4
Suppose 3*x - 859 = -5*c + c, -3*x - 1040 = -5*c. Let i = c + -885/4. What is the common denominator of (23/(-460))/(1*4/(-325)) and i?
16
Let y(f) = -f**3 - f**2. Let c be y(-2). Let k(m) = m**3 - 3*m**2 - 6*m + 2. Let b be k(c). What is the lowest common multiple of 8 and (-40)/b*6/5?
8
Suppose -2*w + 4 = -0*w. What is the lowest common multiple of w and 1?
2
Calculate the common denominator of (-2 - -5)*185/90 and (-50)/(-15)*(-144)/(-10).
6
Let i = 2900 - 26134/9. Calculate the common denominator of -46/5 and i.
45
Let q(p) = -4*p**2 - 7*p - 4. Let r(s) = s + 1. Let z = 1 + -2. Let v(k) = z*q(k) - 6*r(k). What is the smallest common multiple of 10 and v(2)?
80
Find the common denominator of (-18*2)/(-9) - (-65)/2 and 7/12.
12
Let v = -32209/4044 + -40/337. Calculate the common denominator of v and -37/10.
60
Suppose 0*a + 2*a - 6 = 5*b, -3*a + 26 = b. What is the least common multiple of a and 14?
56
Let t be (-161)/(-17) + 1 + 0. Let a = t + -4647/374. Calculate the common denominator of 119/6 and a.
66
Let j be (-2)/(-2) - (3 - 5). Suppose -5*b - y + 161 = 0, b + j*b + 5*y = 112. What is the common denominator of (-3)/3 + 0 - b and -38/7?
7
Let d be 7 + -1 - (-1 + 4). Suppose -d*o + 3*n = -12, -4*o - n - n = -40. Calculate the least common multiple of 14 and o.
56
Suppose 0 = -5*h - 5421 - 5204. Let s = h + 12803/6. What is the common denominator of s and 83/20?
60
Suppose 11*o - 48 = 7*o. Calculate the smallest common multiple of o and 32.
96
Let i(n) = -3*n**2 - 22*n - 5. Calculate the smallest common multiple of 162 and i(-7).
162
Let c = -33/115 + -7753/1035. What is the common denominator of ((-30)/8)/(27/16) and c?
9
Let u = 17939/9 - 1991. Let z = 3002 - 29983/10. What is the common denominator of u and z?
90
Let s = -679/30 + 23/60. Let y = 77/3 - 51. Calculate the common denominator of y and s.
12
Suppose -3 = -3*k + 3. Let q(x) be the second derivative of x**4/12 + x**3 + 7*x**2/2 - x. What is the smallest common multiple of k and q(-6)?
14
Let r =