33/20.
80
Let l = -1216/3 - -409. Let z be 3033/4*104/39. Let d = z - 3955/2. Calculate the common denominator of l and d.
6
Suppose -1 + 5 = x. Suppose -5*z + 0*h + 60 = -5*h, 4*h + 20 = 0. Let c = 19 - z. What is the smallest common multiple of c and x?
12
Let c = 128787/56 - 2301. Find the common denominator of -109/22 and c.
616
Suppose 5*t = -4*y + 43, -3*y + 4*t + 9 = -0*y. Let r(s) = s**3 - 7*s**2 + s + 1. Let c = -24 - -30. What is the lowest common multiple of c and r(y)?
24
Let z(b) = b**2 + 13*b - 5. Let l be z(6). Suppose w + n = 7 + 4, -4*w - 2*n = -54. Calculate the lowest common multiple of w and l/5 + (-2)/(-10).
176
Let z(k) = -k**3 - 22*k**2 + 16*k + 4. Let f be z(-23). Let s = -161 + f. What is the least common multiple of s and 28?
28
Suppose -613 = 2*i + 3*i + 4*c, 3*i - 2*c = -381. Find the common denominator of (-2 - (-7)/2)*(-111)/(-9) and i/28*12/(-10).
14
Let p(y) = 23*y - 475. Calculate the least common multiple of 6 and p(23).
54
Suppose 0 = -2*b + b - 31. Let a = b + 49. Calculate the smallest common multiple of a and 6.
18
Suppose 53*y - 55*y + 3*n + 338 = 0, 5*y - 2*n - 834 = 0. What is the lowest common multiple of y and 18?
1494
Let s be -8*(-4 + 3)/(-1). Find the common denominator of (-143)/(-6) + 1/3 and 1044/78*(-2)/s.
78
Let y be (-3)/((-31179)/(-15594) + -2). Let g = y + -93623/18. Find the common denominator of g and 2 - ((-37)/(-10))/(-1).
90
Let p(r) = 3*r**2 + 31*r + 58. What is the least common multiple of p(-8) and 32?
32
Let x = -6517/1845 + 346/205. Calculate the common denominator of x and 43/63.
315
Find the common denominator of -97/18 and (177/18 - 3)/(-1).
18
Suppose 0*w + 7*w = 5180. Find the common denominator of 121/30 and (w/15)/(18/1).
270
Let o(n) = n**3 - 7*n**2 + 3*n - 16. Let q = -6 + 13. Calculate the lowest common multiple of -10*((-2)/(-1))/(-2) and o(q).
10
Let g = -94/153 - -13709/2142. Calculate the common denominator of -85/174 and g.
1218
Suppose 0*l = -3*l + 84. Let o = l - 27. Let v(i) = -2*i. Calculate the least common multiple of o and v(-2).
4
Find the common denominator of ((-65)/7)/((-2340)/(-910)) and 1*(-74)/28 + -2.
126
Let w = -30 + 29. What is the common denominator of 1*(-87)/(-60)*2*w and -19/16?
80
Suppose 5*b = 5*m - 8*m + 53, 3*b = -2*m + 34. Suppose m*k = 251 - 20. What is the smallest common multiple of k and 3?
21
Let a = 15 + -14. Find the common denominator of -73/2 and a/(((-16)/(-44))/2).
2
Let k = -1473 - -1921. What is the lowest common multiple of k and 12?
1344
Let a = 6033 - 651659/108. Find the common denominator of 97/30 and a.
540
Let r = -77 + 43. Let i(v) = -v**2 - 6*v - 4. Let w be i(2). Let y = w - r. What is the least common multiple of y and 18?
126
Let z(p) = -6*p**2 - 6*p + 3. Let f be z(-3). Calculate the common denominator of 2/9 and f + 8 - (-2)/8.
36
Let i be (-130)/20*2/(-1). Let w = i + -13. Suppose w = -2*r + 4*r - 70. What is the least common multiple of 2 and r?
70
Let w be 4 + -4 + 8 - -2. What is the least common multiple of 22 and 4/w + (-240)/(-25)?
110
Let t(u) = -11*u + 3. Let c be t(-1). Find the common denominator of -28/3 and 13 + (-2 - c/(-6)) - 3.
3
Suppose -136 = -m + 4*d, -135 = -5*m + 4*m + 3*d. Find the common denominator of 95/6 and (m/30)/(1/(35/24)).
12
Let d(l) = -l**3 - 5*l**2 - l - 5. Let j be d(-5). Suppose j*t - 4*t = -12. What is the smallest common multiple of (-20 + 18)*10/(-4) and t?
15
Let z be (-6)/4 + 21/6. Let s be 180/(-483) + z/7. Let h = s + -709/46. Calculate the common denominator of h and -37/10.
10
Let a(r) = r**2 - 3. Suppose -4*h + 0*h = 0. Suppose p - 18 = -h*p. Calculate the lowest common multiple of a(-5) and p.
198
Suppose -2*r + 171 = 579. Suppose 2*s = 4*h - 58, 13 = h - 3*s + s. What is the least common multiple of 6/h - r/15 and 18?
126
Suppose -4*m + 2*k = -40, -2*m + 40 = 2*m + 3*k. Calculate the least common multiple of 3 and ((-162)/5)/(-6) - (-6)/m.
6
Let p(m) = 79*m**2 + 20*m - 80. Calculate the least common multiple of 14 and p(4).
8848
Let b(f) = 4*f + 6. Let h = 13 + -16. Let l be b(h). What is the least common multiple of (-9 + 10)/((-1)/l) and 24?
24
Let w be (-12 + 11)/(1/(-2)). Suppose -32 = -2*s - w*y - 0*y, 5*s - 104 = y. Calculate the lowest common multiple of 2/(1 - 1/2) and s.
20
Let t = -15189 - -258285/17. Let r = 192307/1938 + -3577/38. Let h = t + r. Find the common denominator of h and 17.
3
What is the common denominator of (1*(-9)/12)/((-360)/(-760)) and ((-190)/112)/((-6)/(-7))?
48
Let t(n) = -n**2 + 6*n - 5. Let h be t(5). Suppose -3*k = -h*k. What is the least common multiple of 25 - (k + 2/2) and 18?
72
Let i(u) = -611*u + 1834. Let t(g) = g - 4. Let o be t(0). Let j = o + 8. What is the lowest common multiple of j and i(3)?
4
Let d(a) = 3*a - 19. Calculate the smallest common multiple of d(25) and 14.
56
Suppose 0 = -3*z + 12, 0 = 2*o - 2*z - 2 - 0. Suppose 3*r - r - 67 = 3*y, -2*y - 63 = -o*r. Let b = -6 - y. Calculate the smallest common multiple of 1 and b.
13
Suppose h + 5*q + 12 = 0, -4*h - 3 - 9 = 2*q. What is the common denominator of 216/252 + (-435)/(-154) and -4*((-10)/(-96) + h)?
132
Let f = -133 + 213. What is the least common multiple of 2 and f?
80
Let n = 432 + 676. What is the common denominator of (-2)/8 - n/(-336) and (-434)/80 + ((-156)/(-96))/13?
210
Let q(z) = -z + 6. Let b be -2*1/2 - 5. Calculate the lowest common multiple of q(b) and (54/30)/(6/40).
12
Let s = -56/13 - -2045/182. What is the common denominator of s and 43/66?
462
Suppose 2*s + 2*f = -18, 4*f + 5 = 1. Calculate the least common multiple of 2/(-8) + (-18)/s and 10.
10
Let t(q) = -q**2 - 56*q - 336. What is the smallest common multiple of t(-7) and 12/42 + 61/7?
63
Let k be ((-10)/(-3))/(13/(-78)). Calculate the common denominator of -35/8 and 175/k - (4 - 1).
8
Let j(n) = -139*n**2 + 4*n + 1. Let y be j(4). Let c = y + 8765/4. Find the common denominator of c and -48/11.
44
Let l = 20396871/5320 - 3834. Calculate the common denominator of -85/2 and l.
5320
Let l be (-11)/(44/(-24)) - 1. Suppose 140 = -l*y - 2*a, -135 = -0*y + 4*y - 3*a. Calculate the common denominator of 101/14 and (-260)/y + (-1)/(-4).
84
Let z(a) = -41*a + 284. What is the lowest common multiple of 24 and z(4)?
120
Let q(i) = -6*i - 85. Calculate the smallest common multiple of q(-15) and 217.
1085
Let p(q) = 27*q**3 - 2*q. Calculate the lowest common multiple of 14 and p(2).
1484
Let y = -18051/20 + 903. Let r = -1493/6 + 451/2. What is the common denominator of r and y?
60
Suppose 3 = -5*w - 17. Let a be (-1)/(w/(-1936)) - 0. What is the common denominator of -89/16 and a/128 + 1 - -1?
32
Suppose 78*t - 74*t - 12 = 0, 0 = -4*k - t + 35. Let u = 1 - 14. Let h = 24 + u. What is the smallest common multiple of h and k?
88
What is the common denominator of 20/(-90)*(-84)/(-11) and (7 - 2177/252)/(3/6)?
198
Let s = 4 + 1. Suppose -5*m + 30 = -0*q + s*q, -2*m = -q - 3. Suppose -3*f = f - 2*x, m*x - 6 = 3*f. Calculate the least common multiple of f and 10.
10
Suppose -2*l + 6 = -14. Suppose 0*u - l = -5*u. Suppose 0*v + u = v. What is the least common multiple of v and 7?
14
Let q be (-4)/14 + (-32)/(-14). Suppose 4*t - 4*x - 144 = 0, 3*t + 2*x - 159 = -2*t. Find the common denominator of t and 23/(-4) + q/(-8).
1
Let c be 0 + (-20)/(-8)*-8. Let z = c - -26. Calculate the common denominator of (19/3)/((-20)/z) and 91/12.
60
Let j = 1217/329 - -5/329. Let g be 2/6 - 1/3. What is the common denominator of j and 2 + g - 51/13?
91
Let w = 2 - -14. Suppose 3 + w = b. Let t = -10 + b. What is the least common multiple of 10 and t?
90
Let x be 0 - 2/6 - (-1)/3. Suppose 5*v - g - 217 = x, 0*v + 129 = 3*v - g. Calculate the least common multiple of v and 28.
308
Find the common denominator of 1300/1656 + (-7)/14 and -97/24.
1656
Let w = 13 + 83. What is the least common multiple of w and 176?
1056
Let m = 7387/3 + -29405/12. Calculate the common denominator of -73/18 and m.
36
Let a(h) = -h**3 + 20*h**2 + 29*h - 69. What is the smallest common multiple of 45 and a(21)?
495
Let b be -38*(6/15)/(2/(-10)). Suppose -q - b = -84. Calculate the smallest common multiple of q and 36.
72
Let c(g) = g - 2 + 18 + g**3 + 7*g**2 - 7. Let v be c(-7). Let m(i) = 2*i**3 - 2*i**2 - i - 2. Calculate the lowest common mu