4). Calculate the common denominator of -47/2 and 6/z - (-483)/(-60).
20
Let t(s) = -s**3 - 8*s**2 + 6. Let k be t(-8). Find the common denominator of 11/9 and 129/k*(-2)/11.
99
Suppose -k + 10 = 4. What is the least common multiple of k and 32?
96
Let w be 83/(-53)*7/(-4). Let o be (2/(-424))/(1/2). Let f = w - o. Calculate the common denominator of f and 61/4.
4
Let r be (35/6)/(2/(-4)). Let q = -13 - r. Find the common denominator of 11/3 and q.
3
Suppose l = 4*l - 12. Suppose 0 = -q + m + 17, -2*q + l*m + m + 19 = 0. Calculate the smallest common multiple of 3*8/(-6)*-2 and q.
88
Let s(w) = w - 4. Let l be s(6). Let k(t) = t + 9. What is the smallest common multiple of (-10)/((1 - l)*1) and k(-5)?
20
Let o be 2/(-8) - (-9)/4. What is the lowest common multiple of 20 and (-8)/(-10)*55/o?
220
Suppose 5*c + 2090 = 465. Find the common denominator of -45/14 and c/(-880) - (-4)/(-22).
112
Suppose 5*t = 3*i + 65, -3*t + 35 = t + i. Suppose -z - 3*z = -72. Suppose f = -2*l + 2, 2*f = -0*l + 3*l + z. What is the least common multiple of f and t?
30
Let v = 11 + -9. Let l(h) = h**2 + 3*h - 7. Let f be l(-5). Suppose 2 + 40 = f*a. Calculate the least common multiple of a and v.
14
Let c be 357/12 - (-1)/4. Suppose c = 4*g - 2. Calculate the least common multiple of 9 - 6 - -3*1 and g.
24
Let i be ((-22)/(-4))/((-1)/(-2)). Let o = -5 + i. What is the lowest common multiple of o and 1?
6
Let s(z) = z**3 - 7*z**2 - 2*z - 6. Let u be s(7). Find the common denominator of 101/(-3)*(-6)/u and -65/8.
40
Let n(c) = c**2 + 6*c - 7. What is the least common multiple of n(-8) and (-9)/(-1 + 4 - 4)?
9
Suppose 2*l - 3*n + 5 = 0, 2*l - n - 5 = -0*l. Suppose l*b + 80 = 3*b. Let p = 8741/798 + -16/133. Calculate the common denominator of p and b.
6
Let l(o) = -o - 1. Let u be l(-6). Let v = 182507/198 - 8324/9. Calculate the common denominator of v and 1/u*455/10.
110
Suppose -4*r = -0*o + 4*o - 220, -131 = -2*r + 5*o. Let b = -40 + r. What is the lowest common multiple of 10 and b?
90
Let t(y) = 163*y**2 + y + 11. Let h be t(9). Let g = h + -132341/10. Calculate the common denominator of -23/6 and g.
30
Let m(w) = 6*w**2 + 5*w + 3. Let v be m(-3). Find the common denominator of -1 - (v/(-20))/(-3) and ((-5662)/(-280))/19 - (-4)/14.
20
Let u = 10 + -5. Let z = -19 + 30. What is the lowest common multiple of z and u?
55
Let j = 1235/87 - 54/29. Calculate the common denominator of j and 30.
3
Find the common denominator of (-20)/(-50) + (-383)/(-130) and -125/12.
156
Let g(a) = -a**2 - 16*a + 1. Find the common denominator of 55/3 and g(-13).
3
Suppose 4*q + 0*q - 4 = 0. Find the common denominator of q*3 - (-87)/18 and 115/6.
6
Let v be (-440)/(-24) + (-2)/6. What is the common denominator of -151/18 and 152/v - 2/4?
18
Let j = 92 - 72. What is the smallest common multiple of j and 18?
180
Let i(t) = 15*t - 89. Calculate the smallest common multiple of i(7) and 1/(-2) + (-13)/(-2).
48
Let z = 16 + 8. Calculate the lowest common multiple of 4 and z.
24
Let j be 20123/15*(-6)/8. Let k = -1009 - j. Find the common denominator of k and (1 + -10)*85/60.
20
Let w(c) = c. Suppose 0 = 15*d - 10*d - 40. What is the lowest common multiple of d and w(6)?
24
Let n = -254 + 531/2. Calculate the common denominator of n and 99/10.
10
Suppose -4*k - 4*o = 19 + 1, 0 = 5*o. What is the common denominator of ((-109)/(-22))/(-1) - -2 and (-201)/16*k/(-15)?
176
Let q be (-232)/(((-12)/(-1887))/4). Let x be q/(-48) + (-3)/(-4). Let r = 3043 - x. Find the common denominator of -31/10 and r.
60
What is the common denominator of -29 and (-62)/(-66) - (-3 - -2)?
33
Let p = 57 + -101. Let d = -1/1704 - -31099/1704. What is the common denominator of (-129)/p + 1/(-4) and d?
44
Let w = 1687/10 + -167. Let n = 1487 + -5849/4. Find the common denominator of n and w.
20
Let w = 45 - 363/8. Calculate the common denominator of -37/32 and w.
32
What is the smallest common multiple of 5 and 4/6*(1215/(-6))/(-9)?
15
Let z = 1743 + -8758/5. Let j be (1*6)/((-32)/(-22570)). Let k = -4242 + j. Find the common denominator of z and k.
40
Let z(k) = k**2 + 3*k + 2. Let g be z(-4). What is the least common multiple of 20 and (-3)/g*2 - -21?
20
Let o(l) = -l**3 + 12*l**2 + 2*l - 12. What is the least common multiple of (-4)/(-3 + 1 + 0) and o(12)?
12
Let o(u) = -u**3 + 4*u**2 - 2*u. Suppose 5*a = -0*a - 10. Calculate the least common multiple of (-18)/(-3) + a + 2 and o(2).
12
Let g be 19681/20262 + (-4)/(-24). Let q = -1/614 + g. Calculate the common denominator of 13/12 and q.
132
Suppose -l + 41 = 17. Calculate the lowest common multiple of 12 and l.
24
Let j = -15864 + 285415/18. Find the common denominator of -29/2 and j.
18
Suppose 2*k + 5*r = k + 27, 0 = -4*k - 2*r + 90. What is the smallest common multiple of 8 and k?
88
Suppose 23 = 5*w - 4*w. Let u = 41 - w. Calculate the smallest common multiple of u and 20.
180
Let p = -9189790016/45152021 + -1704/75379. Let z = 85534271/67088 - p. Let k = z + -10322/7. What is the common denominator of -103/18 and k?
144
Let w = -1049/3 - -23141/66. Calculate the common denominator of (-286)/12 - 2/3 and w.
22
Suppose -2*f = 3 + 1. Let m(d) = -402*d**3 + 3*d**2 + 2*d + 3. Let n be m(f). Let v = n - 16186/5. What is the common denominator of -45/2 and v?
10
Let o = -2573 - -84850/33. What is the common denominator of -50/3 and o?
33
Suppose 0 = -3*l + 1 + 5. Suppose 0 = 2*q - 5*c - 6, -2*q = l*q + 3*c - 38. Calculate the least common multiple of q and 14.
56
Let x(l) = -l**3 - 8*l**2 - 3*l + 6. Let p be x(-8). Calculate the common denominator of -61/12 and -1 - ((-171)/p - 3).
60
Let o(k) = 2*k**2 + 2*k + 2. What is the least common multiple of o(-1) and 5?
10
Let y = 2 - 0. Suppose 12 = 3*j + 2*i, 2*j + 3*j + 3*i - 19 = 0. Suppose s + j - 4 = 0. What is the lowest common multiple of y and s?
2
Let v = -29 - -31. Calculate the lowest common multiple of 10 and v.
10
Let u(x) = -1097*x + 1. Let q be u(-2). Calculate the common denominator of 139/6 and q/50 - (-4)/(-10).
6
Let q(w) = -108*w. Let f be q(-3). Let s be (-4)/(-26) - f/2275. Let o = s - 2311/3150. What is the common denominator of 97/2 and o?
18
Let t = -647/4 - -159. What is the common denominator of t and 69/10?
20
Suppose -r = 40 - 120. Suppose 4*g + 3*o - 82 = 6*o, -4*o = -4*g + r. Suppose 0*n = 3*n - 30. Calculate the lowest common multiple of g and n.
110
Let p(a) = a**3 - a**2 + 10. What is the smallest common multiple of p(0) and (0 - 2) + (-44)/(-2)?
20
Let l be -33 + -3 + 0 + 0. Let d = 59/132 - 7/12. What is the common denominator of d and (-110)/l - (-6)/(-18)?
198
Let p be (17/(-9220))/(7/(-26198)). Let b = p - 2/3227. What is the common denominator of b and (-9)/(-10)*-3 - 0?
10
Let c = 25 - 21. Calculate the common denominator of 81/20 and c/(-14) - 9945/(-5236).
220
Let o(n) = -n**2 + 4*n**2 + 4 + 7*n + n**3 + 2*n**2. Let a = 239/42 - 11/21. Find the common denominator of a and o(-4).
6
Suppose 28 = 3*s - 5*g, -3*s + 8*s - g = 32. Suppose -2*d - 56 = -4*b, -2*d + 2*b = 26 + 38. Let i = -26 - d. Calculate the lowest common multiple of i and s.
30
Let t = 559/36 + -250/9. Calculate the common denominator of 127/48 and t.
48
Let j be 1 + 0 + (-185)/(-20). Let a = 14 - j. What is the common denominator of a and -49/2?
4
Suppose 0 = 4*t - 4*k - 12, -5*t + k = -0*k - 27. What is the lowest common multiple of 14 and t?
42
What is the common denominator of 97/12 and 1 + (-418)/(-138) - (3 - 0)?
276
Let g(d) = d**3 + 6*d**2 - 8*d + 3. What is the smallest common multiple of 1 and g(-7)?
10
Let g = -6 - -36. What is the least common multiple of 7 and g?
210
Calculate the common denominator of -25/24 and (2/6)/1 - (-5)/(-3).
24
Let v = 2 - 6. What is the common denominator of v/(-10) - (-16)/110 and 35/9?
99
Let c = 713/8 - 91. Let g = -283/8 - c. What is the common denominator of 25/22 and g?
22
Let y(v) = -v + 4. Suppose -84 - 41 = -5*g. Let a = g + -14. What is the least common multiple of y(3) and a?
11
Let t(v) = -43*v**3 - v**2 + v + 1. Let l = 22 - 237/11. What is the common denominator of t(-1) and l?
11
Suppose -2*x = -4*k + 60, -19 - 17 = -2*k - 2*x. Suppose 0 = 4*w + 36 - 140. Calculate the lowest common multiple of w and k.
208
Let x(v) = -v**3 - 6*v**2 + 3*v. Let n be x(-4). Let q = n