et k(i) = i**3 + 10*i**2 + 8*i - 5. Let u be k(-9). Suppose 0 = -4*g - u*z - 8, -5*g - z + 40 = -6*z. What is the lowest common multiple of 5 and g?
15
Let o = 1 + -1. Suppose 2*d - 7 + 3 = o. Suppose -d*z + 5*l = -6*z + 73, 0 = -z + l + 25. What is the least common multiple of z and 14?
154
Suppose 0 = -2*c - 4*j - 4 + 2, -3*c = 4*j - 1. Let s be (44/(-832))/(-2 + c). Let b = -7121/1040 + s. Calculate the common denominator of 61/12 and b.
60
Let x = 26/237 + 19307/3318. Calculate the common denominator of -7/16 and x.
112
Suppose 3*c + z - 26 = 0, 4*c - z - 20 = 24. Calculate the lowest common multiple of c and 7.
70
Let n = -1 + 3. Suppose -2*k + 3*k = -n. Let a(r) = -2*r**3 - 3*r**2 - r. What is the smallest common multiple of 6 and a(k)?
6
Suppose -x = 2*x. Calculate the least common multiple of 9/(((-63)/12)/(-7)) and 1/(x + 1/14).
84
Let x = -18 + 18. Suppose -j + 14 = -x. Calculate the smallest common multiple of 8 and j.
56
Suppose -2*u - u - 4*i = -34, -5*u + 51 = i. Let h(n) = n - 2*n + 4*n - 5. Calculate the smallest common multiple of h(4) and u.
70
Suppose -21 = -l - 2. Calculate the smallest common multiple of (l - (1 - 2))/2 and 14.
70
What is the common denominator of 65/16 and (-124)/6 + (-3 - 0)?
48
Let l = 3 + -1. Let j = -1043/4 - -256. Find the common denominator of j and 20*(-1)/((-4)/l).
4
Let p(v) = 14*v + 11. Let k be p(6). Let r = -1047/11 + k. What is the common denominator of 48 and r?
11
Suppose -2*k - 15 = -t - 1, 3*t = k + 52. Calculate the common denominator of 113/12 and (37/33)/(12/t).
132
Suppose 2*h - 4*h = -16. Calculate the lowest common multiple of h and 58.
232
Let a be ((-469657)/5)/(22/(-5)). Let w = 21344 - a. Find the common denominator of 121/10 and w.
110
Let a(s) = s + 9. Suppose -p + 5*p - 20 = 0. Calculate the lowest common multiple of p and a(0).
45
Let r = -16100 - -354269/22. Calculate the common denominator of 19/16 and r.
176
Let z = -30 + 70. Calculate the common denominator of -59/22 and -1 + 6/z + 1.
220
Let q = -249/34 - 20/17. Find the common denominator of (33/(-15))/((-2)/(-4)) and q.
10
Suppose 75 = 47*m - 32*m. Let o(b) = b**3 + 6*b**2 + 3*b - 5. Calculate the least common multiple of m and o(-5).
5
Suppose 0 = -5*a - 5, 3*a - 8*a - 55 = -5*x. What is the lowest common multiple of x and 10?
10
Let h = -107217/70 - -12911/10. Let d = 240 + h. Let z = 194/5 + -39. What is the common denominator of z and d?
35
Let m be (-8482)/(-20) + 2/5. Let l = -412 + m. What is the common denominator of l and (1/8)/((-2)/(-166))?
8
Let z = 124699/10 + -12459. What is the common denominator of (-134)/(-4)*4/8 and z?
20
Let r(c) = -3*c**3 - c**2. Let a(o) = o**3 + 8*o**2 + 8*o + 6. Let d be a(-7). What is the lowest common multiple of r(d) and 22?
22
Let q be 35/(-15) + 2/(-3). Let k = q - -9. What is the lowest common multiple of 6 and k?
6
Suppose 5*y - 4 = g - 23, 27 = 3*g - 5*y. Calculate the common denominator of 15/g*(-90)/(-9) and -20/21.
42
Suppose -5*x + 395 = 5*v, -2*v - x + 179 = -6*x. Calculate the least common multiple of v and 10.
410
Let s = -1225/1338 + 25115537/4683. Let x = s - 5365. Find the common denominator of 404/(-6)*9/(-24) and x.
28
Let w = 27/8 - -209/8. Calculate the common denominator of 57/20 and w.
20
Let t = 21 - 51. Let p = 0 + 1. Calculate the common denominator of -53/20 and p - (0 - 123/t).
20
Let d(r) = -2*r**2 + 4*r - 4. Let s = -1932270 + 21325123/11. Let a = s - 6373. What is the common denominator of a and d(3)?
11
Let g = 2 - -4. Let m(f) = f**2 - 5*f + 3. Calculate the smallest common multiple of g and m(5).
6
Suppose 0 = 3*l + l - 8. Let i = -11863/756 - 11/189. Calculate the common denominator of i and l - ((-18)/4 - -1).
4
Suppose -y + 4*p = 18 + 9, -5*y + p - 135 = 0. Let x = y + 37. What is the least common multiple of 1 and x?
10
Let u = 87 - 75. What is the least common multiple of u and 22?
132
Suppose 0 = -0*r + r + 4. Let x(s) = 421*s + 6. Let i be x(r). Let v = -26947/16 - i. What is the common denominator of v and 47/10?
80
Let t be 2/((-4)/(-38)*1). Suppose -11 = -3*n + 4*z + 12, -3*z = -3*n + 21. Suppose -n*k = -t - 1. Calculate the lowest common multiple of k and 4.
4
What is the common denominator of 7/9 and (1/(-8))/(4/744)?
36
Let b = 67 + -47. Suppose -c = 2*h - 3 - 15, 0 = 5*c - 2*h - 102. Calculate the lowest common multiple of b and (6/(-4))/((-3)/c).
20
Let w = 6569/4 - 1652. Find the common denominator of 41/58 and w.
116
Let r be (2 - (-2)/(-2)) + 47. Suppose -3*v + 0*v - r = 0. Find the common denominator of -59/22 and 101*(-2)/v*-2.
44
Let u = 347/20 - 63/5. Let p be 1 - 6*3/6. What is the common denominator of (-2247)/(-270) - p/(-9) and u?
20
Let a be 110 - (0 + -3) - 3. Let m = -14927/2 + 67229/9. Calculate the common denominator of 55/36*a/25 and m.
18
Suppose -2*d = -22 + 2. Suppose -30 = -4*x - 2*h, -3*x + 55 = -3*h + d. Calculate the common denominator of (-104)/x - 2/10 and -31/8.
40
Let y = 12 + 8. Find the common denominator of -1 - (-3)/((-42)/(-83)) and (-8)/20 - 154/y.
70
Let k = -882 - -14099/16. Find the common denominator of k and ((-2)/(-10))/((-6)/(-335)).
48
Let j = 14 - 4. What is the smallest common multiple of j and 2?
10
Let g = 14072/7 + -2014. What is the common denominator of g and -77/8?
56
Suppose 0*p = 4*p - 24. What is the least common multiple of p and 2?
6
What is the least common multiple of 10 and ((-5)/5)/((-2)/22)?
110
Let t = -24 + 33. What is the least common multiple of 7 and t?
63
Suppose -12 = -5*m + 4*m. Suppose 4*k - 1 = 7. What is the least common multiple of m and k?
12
Let l = -320 - -1341/4. Find the common denominator of 89/16 - (-2)/(-8) and l.
16
Suppose 0 = 5*t + 4*y - 191, -161 = -4*t + 5*y - 0*y. What is the lowest common multiple of t and 12?
156
Let x = -63849 + 251599/4. Let o = x + 931. Find the common denominator of o and 95/2.
4
Let a = 19 - -9. Let x = -7 - -21. Let y = a - x. Calculate the least common multiple of 22 and y.
154
Let f be -2 - (1 - 113/(-10)). Let k = f - -43/2. What is the common denominator of 24 and k?
5
Suppose 5*l - l + 164 = 0. What is the common denominator of (-91)/(-4) - 3/(-6) and (l/12 - -3) + 2?
12
Suppose 0 = -0*b + 2*b - 28. Suppose -4 + b = 2*w. Suppose -17 - 23 = -w*g. Calculate the least common multiple of 6 and g.
24
Let o = 72815/18 + -4043. Let r = -467/2 + 5053/22. Calculate the common denominator of o and r.
198
Suppose 3*m + 5 = 2*c, -4*c + 2*m = -17 - 13. Let r be (-2 - (-12)/c)*5. What is the common denominator of -95/8 and -2 + 4 + 150/r?
8
Let j = 10 + -6. Suppose -5*g - 10 = z + j, -1 = 5*z + 2*g. What is the least common multiple of (4 + 2)/(z/3) and 10?
90
Let j(z) = -z**3 - 6*z**2 - 4*z - 5. Let b be j(-6). What is the lowest common multiple of b + (2 - 5) + 2 and (32/10)/(((-12)/(-10))/3)?
72
Let c be (2/(-2146) + 0)*-2. Let i = c + 3175/23606. What is the common denominator of (2/9)/(4/43) and i?
198
Let b(p) = -2*p**2 - 5*p - 3. Let m be b(-3). Let k be (m/4932)/(20/308298). Let v = k + 2/685. Find the common denominator of v and -97/22.
44
Let m = -3502/7 - -10529/21. What is the common denominator of m and 71/30?
210
Suppose -3*q - 84 = -d, -3*d - 2*d + 3*q = -468. Find the common denominator of (-2)/(-6) + 580/d and -59/10.
40
Suppose -2*r + 4*r + 2976 = 0. Let v = -3071/2 - r. Let s = -22 - -34. Calculate the common denominator of v and s.
2
What is the smallest common multiple of 6*((-1)/1)/(-3) and 6?
6
Let b be (0 + (-21)/2)*2. Let w = 33 + b. What is the common denominator of 59/12 and 4/w + (-166)/(-60)?
60
Let z be -10 - 2/4*0. What is the least common multiple of (-56)/z - (-8)/20 and 2?
6
Let q be (-2)/(-4) + (-34)/4. Let u = 13 + q. What is the smallest common multiple of 1 and u?
5
Let x = -7119 - -42577/6. What is the common denominator of 29/48 and x?
48
Suppose 2*v = -0 + 8. Let k(b) = -b**3 - 5*b**2 + 4. What is the lowest common multiple of k(-5) and v?
4
Find the common denominator of (-3 + (-28)/(-6))/(14/69) and 3 + -3 + (-11)/(-2).
14
Let q = 216 + -84. Suppose -a - 2*a + q = 0. Suppose a = o + o. Calculate the smallest common multiple of 8 and o.
88
Let z = 77073/224 + -2393/7. Calculate the common denominator of z and 87/10.
160
Let j = 5203/42 + -740/7. Let y = -10857993/46 - -236083. Let b 