0. Let w be (-66)/(-2)*(-16)/12. Find the common denominator of l and 1 + (-1)/(w/(-250)).
220
Suppose 4*x - 5 = 3*x. Suppose -4*c + 4*d - 36 = 0, -x*c + 0*d + 4*d - 48 = 0. What is the common denominator of 62/9 and c?
9
Suppose 0 = -4*h + 2*v - 0 + 4, 2*v = 2*h - 6. Calculate the lowest common multiple of 8 and 2 + 0 + (0 - h).
24
Suppose 9 = 2*f - 5. What is the smallest common multiple of f and 2*2/4*1?
7
Let a be (-1)/3 - (-785815)/(-30). Let q = -28171 - a. Let i = q - -1964. Calculate the common denominator of i and -73/18.
18
Let v(y) = y**2 - 3*y - 7. Suppose -5*q - 15 = -5*m, -q + 27 = -m - 6*q. Let w be (-62)/(-10) - m/(-10). Calculate the lowest common multiple of 11 and v(w).
11
Suppose 4*o = -b - 18, -5*b + 0*o - 3*o = 39. Let s be (63/b - 0)*-2. Calculate the common denominator of s/(-8) - (2 + -1) and 59/9.
72
Let w be ((-2)/5)/((-64)/8420). Let l = -53 + w. What is the common denominator of (-4)/(-14)*98/6 and l?
24
Suppose 0 = 3*t - 4*v - 12322 + 58737, -t - 15473 = -2*v. Let l = 309497/20 + t. Find the common denominator of (33/(-8) - -1) + 2 and l.
40
Find the common denominator of (1/(-4))/((-4)/(-568)) and 1803/(-270) + (-6)/10.
18
Let u = 6848 + -54715/8. What is the common denominator of u and 19/10?
40
Find the common denominator of (4/(-96))/((-1)/(-290)) and -43/16.
48
Let y = 495 + -263. Let u = y + -143. Find the common denominator of 0 - 3 - u/(-9) and -19/11.
99
Let v(f) = f - 142. Let g be v(0). Calculate the common denominator of (g/(-4))/(4 - 0) and 57/2.
8
Let u be (652/(-8))/((-30)/6). Let a = 967/90 - u. Let l = -14 + 161/11. What is the common denominator of a and l?
99
Suppose 0 + 6 = 3*x + k, 0 = -x + 3*k + 2. Calculate the smallest common multiple of x and 7.
14
Suppose 0 = -0*x + x - 3. Calculate the smallest common multiple of 5 and x.
15
Let x = 123023/16 - 7685. Find the common denominator of 103/12 and x.
48
Let z(v) = 3*v + 10. Let h be z(-7). Let p = -4 - h. Suppose 2*b = -3*x + 28, -2*x = x - 5*b + p. Calculate the smallest common multiple of x and 3.
6
Let m = 140 - 3766/27. What is the common denominator of 7/24 and m?
216
Calculate the common denominator of (-6)/(-172)*(-48)/9 and 73/4.
172
Let b = -10967/8 - -1377. Find the common denominator of b and (-75)/(-42) + (2 - 2).
56
Let r(p) = 3*p. Let v(c) = -2*c. Let u(j) = -3*r(j) - 5*v(j). Let k be u(-1). Find the common denominator of 2/6*k*-47 and 65/9.
9
Let d = -1173/8 + 153. What is the common denominator of d and 49/4?
8
Suppose 2 = -4*t + 22. What is the lowest common multiple of t and 8?
40
Let y = -34 + 46. Calculate the smallest common multiple of 15 and y.
60
Let t(x) = x - 3*x + 0 - 11. Suppose 0 = -5*v + 3*v - 16. Calculate the least common multiple of 9 and t(v).
45
Suppose -b + 3*i = 6*i + 143, -290 = 2*b + 4*i. Calculate the common denominator of -31/16 and b/(-12) + 6/(-3).
48
Suppose -6*v + 77 = v. Calculate the lowest common multiple of 11 and v.
11
Suppose -p = 2*p - 300. What is the common denominator of -139/18 and (-1435)/p - 3/(-5)?
36
Suppose -c + 5*c = -x - 2, x = -3*c. Suppose -4*g - 1 = -p - 7*g, g = -5*p + 75. What is the least common multiple of p and x?
48
Let v be (-2)/4 + (-252)/(-24). Find the common denominator of ((-2)/48)/(v/(-15)) and 15/8.
16
Suppose 6*j = j + 5. Find the common denominator of -68/3 and j - ((-116)/(-14) - 0).
21
Find the common denominator of 29/32 and 15/(-6)*(-1)/(-6).
96
Let h be ((-4244)/(-14) + 1)*6. Let t = -1832 + h. Calculate the common denominator of (20/(-18) - -1)/(-1) and t.
63
Suppose b + 30 = 4*b. What is the least common multiple of 3 and b?
30
Let z = 180919/18 - 10058. Calculate the common denominator of (6 - 3)*73/30 and z.
90
Let r(t) be the second derivative of t**3/3 - 7*t**2/2 + 3*t. What is the lowest common multiple of 7/3 + 2/(-6) and r(6)?
10
Let j = 32986289/18 + -1828470. Let u = -4105 + j. What is the common denominator of 85/26 and u?
234
Let w(o) = o**3 + 8*o**2 - 2*o + 11. Let z be w(-8). Suppose i - 4 = 0, z = -2*v + 3*i - 5. Find the common denominator of 83/10 and ((-1)/v)/(1/11).
10
Suppose p - 22 = 5. Let r be (-130)/18 - 2/(-9). Let y = p + r. Calculate the smallest common multiple of 12 and y.
60
Let j = 1901 - 9544/5. Calculate the common denominator of -53/18 and j.
90
Let w = 14 - -2. Let j(o) = 5*o + 1. Let s be j(2). Let a = 9 + s. Calculate the lowest common multiple of w and a.
80
Let v be 2/18*2/1189. Let b = v - -738337/171216. What is the common denominator of b and (-154)/16 + (-7 - -5)?
16
Let b = -60803/3 - -20921. Let s = b - 660. Calculate the common denominator of s and ((-71)/(-18) + -2)*-2.
9
Suppose a = 6*a - 90. Calculate the least common multiple of 14 and a.
126
Calculate the common denominator of 314/28 + 4/(-1) and 63/4.
28
Let u be 77/42 - 1/(-6). What is the least common multiple of u - (2 - (28 + -2)) and 22?
286
Let o(q) = -q + 2. Suppose -5*s + 6*s = 2*t + 9, -3*s + 35 = 2*t. What is the least common multiple of o(-2) and s?
44
Let s = -1 - -4. Suppose -s*g = -g + 4. Calculate the common denominator of (-4)/g*89/(-20) and 99/10.
10
Calculate the lowest common multiple of -2 - 0 - (-17 - (-1 + 0)) and (-3 - -4) + (20 - 1).
140
Calculate the common denominator of 125/280*((-12)/10)/1 and -139/12.
84
Let r = 719/6 - 120. Calculate the common denominator of r and 3/5.
30
Calculate the least common multiple of -1 + 0 + 3 - (-7 - -4) and 21.
105
Find the common denominator of (68/32)/(2/(1 + -2)) and 47/20.
80
Suppose 0 = 5*s - 5*q - 15, -5*q = -s + 6*s - 15. Suppose -3*k = -6*k + 12. What is the lowest common multiple of k and s?
12
Calculate the common denominator of (-2 - -3)/(10/118) and (65/(-12))/(8/(-12) + 0).
40
Suppose 2*c + 6 = -8. Let s = -3 + 5. Calculate the lowest common multiple of 1 and 1 - s - (c + 0).
6
Suppose l + 0 = 14. Suppose 18 - 98 = -5*o. Calculate the smallest common multiple of o and l.
112
Suppose -37 = -5*n - 7. What is the least common multiple of n and 20?
60
Suppose -5*t + 1149 = -3*y, -3*y + t = y + 1515. Calculate the common denominator of 1839/y + (-6)/(-27) and -49/20.
140
Let a be (-64983)/642*(-11)/(-102). Let y = a - 3/3638. Calculate the common denominator of y and 4/18 - (-14)/(-4).
36
Let q = 12 + -32. Calculate the common denominator of -1/8 and (102/(-15))/((-28)/q).
56
Let b be (-1548)/1040 - (-6)/4. Let d be (-1317)/(-65) + 2/(-4). Let l = d - b. Calculate the common denominator of l and 26/11.
44
Let m be (-12)/(-1*(-6)/(-20)). Suppose -m = -2*s - 2*s. Find the common denominator of s and (6/4)/(6/(-22)).
2
Let l = -14 + 21. Find the common denominator of (-2)/(-3) - (-290)/(-24) and 5/l*(-588)/(-144).
12
Let j = 4 - 2. Suppose -40 = -13*y + 8*y. What is the lowest common multiple of y and j - (0 - 4/2)?
8
Let b = 23 + -12. Let t = 11 + -1. What is the lowest common multiple of b and t?
110
Let u be -8*(-3)/30*-5. Let d be u/3*(-4 - -1). Calculate the common denominator of d/(-14) - 4435/(-700) and -21/2.
20
Suppose -4*b - 5 + 13 = 0. Suppose 74 = -4*g + r, b*g - r = -43 + 5. What is the common denominator of -47/4 and (226/(-6))/(60/g)?
20
Let w(o) = 2*o - 4. Let f = 10 + -6. What is the least common multiple of 9 and w(f)?
36
Suppose 2*z - 66 = -2*p + 56, 5*z - 4*p = 350. Let d(c) = 11*c**2. What is the lowest common multiple of z/30 + 2/(-10) and d(-1)?
22
Let k = 626 - 3767/6. Calculate the common denominator of k and 1 + -1 - (-33)/20.
60
Calculate the common denominator of 25/9 and -3 + 2/(-5)*12.
45
Let n(l) = -9*l - 32. What is the smallest common multiple of n(-6) and 82?
902
Suppose 0 = -3*q + 5*r + 46, 5*q = -3*r + 4*r + 40. What is the least common multiple of 15 and q?
105
Suppose -2*p - 38 = 4*t, 5*p - t = 2*t - 56. What is the smallest common multiple of (-80)/p - 6/39 and 6?
6
Let g(d) = d**3 + 9*d**2 + 6*d - 9. Let w be g(-8). What is the common denominator of (w/21)/(14/303) and (-190)/(-4)*3/(-5)?
14
Let z(n) = -n**3 - 7*n**2 + 18*n + 4. Let t = 0 - 0. Suppose -3*f + 5*f - 24 = t. What is the smallest common multiple of f and z(-9)?
12
Suppose 5*p - 12 = -3*q, 3*q = -2*q + 5*p - 20. Find the common denominator of (-7 + q)/(-5 - 1) and 28/11.
33
Let n(d) = d**2 - 6*d + 6. What is the least common multiple of n(5) and 8?
8
Let x = -2333 + 9433/4. What is the