Let y(h) = h**3 - h - 1. Let q be y(2). Suppose q*z + 0*t = 5*t - 210, 3*z - 2*t = -125. Find the common denominator of 2/3 and z.
3
Calculate the least common multiple of (-18)/(-4)*(-132 + 140) and 2.
36
Let r(a) = 4*a**2 - 4*a**3 - 13*a + a**3 - 7*a**3 + 11*a**3. What is the lowest common multiple of 33 and r(-6)?
66
Suppose -2*p = -6*p + 352. Let i be -2*908/32*(-8)/6. Let f = p - i. Calculate the common denominator of -87/8 and f.
24
Suppose 2*r = 3*b + 78, 2*r + 5*b = 122 - 28. Suppose 7*j - r = 126. What is the smallest common multiple of j and 20?
120
Let n(r) = r**3 - 4*r**2 - 4*r - 9. Let z be n(5). What is the common denominator of -121/30 and (-465)/(-112) + z/(-14)?
240
Let g(o) = -3*o - 15. Let x be (-12)/(-8) + (-6)/4. Suppose -2*m = -5*h + 11 + 8, x = -m + 4*h - 11. What is the common denominator of -47/15 and g(m)?
15
Let c = -261 - -264. What is the smallest common multiple of 18 and c?
18
Let h = 7083271/9 + -786013. Let m = 1021 - h. Calculate the common denominator of m and 81/(-24) - (-1 + (-8 - -6)).
72
Let a = 2423/156 + -112/13. Calculate the common denominator of a and 37/24.
24
Calculate the smallest common multiple of 172 and 36*20/30 + -10.
1204
Let z be (-1*4)/(-2)*(7 + -5). Find the common denominator of z/(-14) - (5510/(-112))/(-5) and 205/48 + (-1)/3.
16
Suppose 149*m + 234 = 155*m. What is the least common multiple of m and 33?
429
Suppose 3*j + 108 = -3*m, -3*j + 108 = -7*m + 4*m. Let n be (0 - m)/(5 + -4). Suppose k = 4*k - n. Calculate the smallest common multiple of 2 and k.
12
Let s = 25719 + -19134917/744. Calculate the common denominator of 6/11 and s.
8184
Let f(p) = 43*p**2 - 6*p - 4. What is the lowest common multiple of 5 and f(-1)?
45
Suppose 7 = -5*d + 6*d. Calculate the common denominator of 49 and (-58)/9 + 2 + -10 + d.
9
Let r = 6967894028 - 80311946683921/11526. Let v be (-4)/3*12/15368. Let o = v - r. What is the common denominator of -61/15 and o?
30
Suppose -11*p + 6*p + 315 = 0. Calculate the least common multiple of p and 198.
1386
Let g = 18 - 40. Let p = g - -10. Calculate the smallest common multiple of 6 and p/(9/6 - 3).
24
Let l(p) = p**2 - p + 20. Suppose -c + 33 = d, 5*d - 70 = -4*c + 67. Calculate the smallest common multiple of c and l(0).
140
Let n(j) = 2*j - 5. Let w(v) = -v + 2. Let a(r) = 3*n(r) + 7*w(r). Calculate the smallest common multiple of 72/2*5/10 and a(-5).
36
Let h = -248/67 + 19016/5427. Calculate the common denominator of -125/18 and h.
162
Let s = -27 + 23. Find the common denominator of 134/16 + -1 - s and 58/7.
56
Let f(m) = -3*m - 1. Let w be f(-1). Suppose -w*b + 1 = -0*y - y, 0 = 3*y + 9. Calculate the common denominator of (-7 - 36)*b/12 and -107/12.
12
Let u(z) = -2*z - 2. Calculate the smallest common multiple of u(-6) and 25/50 - (-1)/2*9.
10
Let o = -6787285/114 - -59538. Calculate the common denominator of o and 99/4.
228
Suppose -3*c - 3*t = -2 - 1, -1 = -c - 2*t. What is the common denominator of 71/14 and (-460)/(-24) + c/(-1)*2?
42
Calculate the common denominator of -19/12 and (-44)/11*1 + (-157)/(-42).
84
Let o = -253 - -397. Suppose -7*t + 11*t + o = 0. What is the lowest common multiple of 28 and ((-135)/t)/(6/16)?
140
Let f(s) = -s - 21. Let u(d) = d**2 - 11*d + 8. Let v be u(6). Suppose 0*i = 4*i - 72. What is the smallest common multiple of f(v) and i?
18
Suppose -t + 2*r = 1, 5*t - r + 19 = 2*r. Let g be -1 + t/10*34. What is the least common multiple of 534/27 + (-4)/g and 52?
260
What is the smallest common multiple of ((-255)/(-34))/((-1)/(-4)) and 40?
120
Calculate the least common multiple of (-1 - -25) + (-4 - (-5 - -1)) and 12.
24
Suppose -6 = 10*j - 26. What is the common denominator of j*(1 + 735/(-288)) and -15/4?
48
Suppose 0 = 3*z + 2*g - 137, -17*g - 2 = -19*g. Calculate the least common multiple of 80 and z.
720
Let s = 44/3 + -27/2. Calculate the common denominator of (-22)/(-44)*-2 + (-90)/(-113) and s.
678
Let q be (166/4)/(6/12). Let d = q + -82. Calculate the least common multiple of d and 10.
10
Suppose 5*c - 7*b + 9*b = 250, 0 = -2*c + 4*b + 124. Calculate the least common multiple of c and 78.
156
Suppose 2*h - 1100 = -2*h. Suppose 5*x = -2*q + 275, 2*q + h = 5*x - 0*x. Suppose 3*t = x - 13. Calculate the least common multiple of 10 and t.
70
Let w = 297/40 + -43/10. What is the common denominator of (-270)/(-36)*17/(-20) and w?
8
Let p be 3/(2/4*3). Suppose 3*j + 2*n = 24, -13 = -j - p*n - 1. What is the least common multiple of j and ((-8)/(-6) + 2)*3?
30
What is the smallest common multiple of (30/8)/(15*(-2)/(-240)) and 78?
390
Let q = 47/45 - 4468/5355. Let v = -2597 + 44172/17. Let p = v - q. Find the common denominator of -71/3 and p.
21
Suppose -2*w - 42 = -46. Suppose -2*c = 4*r - 2, -r - 4*c - 8 = w. Calculate the least common multiple of r and 116.
116
Let y = -21 - -4. What is the least common multiple of 30/(-5) + 3 - y and 8?
56
Let o = 63 + -43. Suppose 5*q - v - 235 = 0, 4*v + 0*v - o = 0. Calculate the lowest common multiple of q and 8.
48
Let c(x) = 4*x - 5. Let b be c(-8). Let h = 55 + b. Let p = 15 - 11. Calculate the lowest common multiple of h and p.
36
Let q be -1 + -1 - 14/(-1). Let v be q/(12/(-88)*-1). Suppose -4*z + 2*m + v = 0, 0*z + 2*z = -2*m + 32. What is the least common multiple of 14 and z?
140
What is the common denominator of (-140)/(-160) + 2/(-6) and 29/13?
312
Let f(j) = 2*j**2 - 5*j + 10. Let u(y) = y**3 - 7*y**2 + 4*y + 14. Let k be u(6). What is the least common multiple of f(k) and 9?
72
Let l be (-2)/4 + 3/(-6). Let o be 1 - (l - (-10262)/(-12)). Let p = -860 + o. Calculate the common denominator of p and 67/6.
6
Let i = -230 + 1405/6. Let v = -1583/6 + 15623/60. Calculate the common denominator of v and i.
60
Let b = -5413/2499 + 124/51. Calculate the common denominator of b and 31/14.
98
Let u = -8 - -16. Calculate the least common multiple of u and 5 + 25/9 + 948/(-108) + 9.
8
Let f = 6 + 0. Let s be f/21 + 558111/(-32760). Let y = s + 1/1560. What is the common denominator of y and 75/4?
4
Let c = -48 + 0. Let d be 2/6 - (-13786)/c. Let r = d - -583/2. What is the common denominator of -25/6 and r?
24
Let p be (-28)/(-3) - (-3)/(-9). Let l be 10/(-45) - (-62381)/p. Let j = -96965/14 + l. What is the common denominator of 1/14 and j?
14
Suppose 0 = 5*f - 5*a + 160, -4*a - 38 + 202 = -5*f. Find the common denominator of 83/14 and (4/30)/(f/195).
126
Suppose -2*w = -3*u + 2*w - 10, -u - 10 = -3*w. Suppose -u*v = -3*a + 38, -2*a = 2*v + 3*v. What is the lowest common multiple of 10 and a?
10
Let s = -306 - -495. Calculate the smallest common multiple of 162 and s.
1134
Let l be (-87988)/(-13776) - (-6)/18. Let a = -1/164 + l. What is the common denominator of a and 19/8?
56
Suppose 2*t + 5220 + 1814 = 0. Let v = 35109/10 + t. Find the common denominator of v and 97/4.
20
Suppose i + 2 = -1. Let x be (-3 - 9/(-1)) + i. What is the common denominator of ((-412)/40 - 1) + x and -73/9?
90
Let a = 10600 - -1816. Let m = -223387/18 + a. What is the common denominator of m and (-189)/(-140) - (2 - 6)?
180
Let s(j) = j**2 - 10*j - 1. Let i be s(10). Let d = -16/737 + -61011/7370. Find the common denominator of i - 10*45/(-24) and d.
20
What is the common denominator of 137/70 and 3288/(-144) + 1 + 6?
210
Let t = 2/11059 + 54323/5374674. What is the common denominator of -91/16 and t?
3888
Let o be (-4)/(-6) + (-58)/(-3). Let k = 28 - o. Suppose -2*j + 16 = 3*u, 0 = 4*j - 6*u + u - 32. What is the least common multiple of k and j?
8
Let y be ((-66)/(-30) + -5)*(0 + -7370). Let h = y - 990577/48. Find the common denominator of h and -101/20.
240
Suppose 0 = 3*r - 4*m + 309, -2*r + 7*r - m + 515 = 0. Let t = r + 112. What is the lowest common multiple of 23 and t?
207
Let l be (-212439)/72 + (-4)/6. Let v = -2950 - l. Calculate the common denominator of v and ((-31)/12 + 2)*-7.
24
Suppose -y - 112 = 4*v, -v - y + 28 = -2*v. Calculate the common denominator of (-1)/(-10) + 21/v and 109/22.
220
Let r(y) = -5*y**3 - 7*y**2 - 4*y - 12. Calculate the smallest common multiple of r(-3) and 12.
72
Suppose 5*l = a - 17, a + 27*l - 31*l = 19. Let p(u) = 6*u + 3. Calculate the least common multiple of a and p(3).
189
Let f = 46 + 86. Calculate the lowest common multiple of 11 and f.
132
Supp