63/487140 - 311338/353. Let g = 350/69 + p. Calculate the common denominator of g and ((-3)/(-15))/((-72)/(-1005)).
120
Suppose -5*c - 4186 = -2*y, 0 = 5*c - 5*y - 0*y + 4195. Find the common denominator of (c/(-216))/(-19) + 2*1 and -5/16.
432
Let y(k) = 2*k**2 + 17*k + 33. Let d be y(-12). Suppose -43 - d = -5*i. What is the smallest common multiple of i and 12?
96
Let l = -173 + 98. Let r be l*-2*(-4)/(-12). Suppose 5*o - r = 4*k, 5*k - 31 - 36 = -3*o. Calculate the lowest common multiple of o and 8.
56
What is the common denominator of 3/52 and 385/160 + 3 - 6/1?
416
Let c(g) = -4*g**3 - 24*g**2 - 10*g + 16. What is the smallest common multiple of c(-6) and 96?
1824
Suppose -3 + 21 = 2*a. Calculate the lowest common multiple of a and 18.
18
Let s = 2126 + -23424/11. What is the common denominator of -48/377 and s?
4147
Let v = -169793/16 - -10608. Let q be (-1338)/(-144)*4 - (-1 - 1). Let j = q + -2389/60. Find the common denominator of v and j.
80
Let i = -125 - -130. What is the smallest common multiple of i and 645?
645
Let r = -1591/2 + 752. What is the common denominator of r and -35/302?
302
What is the lowest common multiple of ((-648)/120)/((-3)/45) and 18?
162
Suppose 0 = -3*m - 25*m + 952. What is the smallest common multiple of 8 and m?
136
Suppose -4*y = -38 - 14. Suppose 0 = 6*g + 3 - 27. Suppose -y + 41 = 2*b + 4*z, -g*z - 2 = -b. What is the least common multiple of 6 and b?
30
Let y = -2089/9 - -718/3. Find the common denominator of 8/(-12)*12/(-26) and y.
117
Find the common denominator of 9/6*2 - (-15)/(-6) and 3/9*(-855)/12.
4
Let g = 62 + -627/10. Let d = 2/2987 - -277783/11948. Find the common denominator of d and g.
20
Let s be (-1684)/3 + (-2)/(-2). Let j = s + 551. What is the common denominator of 23/33*(5 + 1) and j?
33
Let l = -29 - -45. Find the common denominator of (-1 - (-22)/24)/(l/852) and 81/56.
112
Let g be 10/4*196/35. Let o = 16 - g. Let z(a) = a**2 - 12*a + 16. Calculate the least common multiple of z(11) and o.
10
Suppose 0 = p + 52 - 68. Suppose -3*w = -3*n - 12, 4*w - n - 2 = -4*n. What is the least common multiple of (-2)/(-1) + (4 - w) and p?
16
Suppose 11*u - 2*u = 18. Suppose -3*q - u*v = -5*q + 22, v = 5*q - 75. What is the least common multiple of q and 11?
176
Let m(o) = 3 - 6 + 0*o - 6*o + 2*o. What is the lowest common multiple of m(-2) and 11?
55
Suppose 0 = -2*a + 3*n + 30 + 93, -3*a + 3*n = -183. Calculate the smallest common multiple of a and 18.
180
Let t(s) = s - 7. Let h be t(7). Suppose -3*k - 13*k + 288 = h. Calculate the least common multiple of k and 290.
2610
Let l = 37149/8 + -4637. Suppose -5*k = -6*d + 2*d + 1642, -4*d - 4*k = -1624. What is the common denominator of (-782)/d - (-3)/(-2) and l?
24
Let b be 4/8*2*-13. What is the lowest common multiple of 18 and (-1 - b) + 1 + -5?
72
Let t = -21 + 31. Let u be (-120)/(-14) + 32/(-56). Suppose 0 = 4*v - u. What is the least common multiple of v and t?
10
Let n = -59/2 - -169/4. Let m = -12977347/8985 + 4333/3. Let k = 260509/41930 - m. What is the common denominator of n and k?
28
Let c = 13257/8 - 158987/96. Find the common denominator of -47/60 and c.
480
Let q = 9 - 4. Suppose 23 + 67 = -q*k. Find the common denominator of -31/3 and (-27)/k*172/54.
9
Let r be 17058/(-3150) - (-2)/(-4). Let h = r - 1/700. What is the common denominator of h and -85/8?
24
Let m(h) = -h**3 + 9*h**2 + 8*h + 23. Let q(c) = -c + 18. Let v be q(8). What is the least common multiple of m(v) and 9?
9
What is the common denominator of ((-38)/(-16))/(80/100) and 53/88?
352
Suppose 0*l = 3*l - d - 11, 2*d = 8. Suppose l*i - 9 = o + 98, -5*o + 15 = 0. What is the least common multiple of 22 and i?
22
Suppose 1 = s, 0 = -2*u + 2*s + s + 29. Let m(p) = p**3 + 43*p**2 + 331*p + 41. Calculate the lowest common multiple of u and m(-33).
16
Calculate the common denominator of (-35)/(-20)*(-72)/308 and (-875)/30 + 4/(-12).
22
Let h = -190521 - 118663. Let b = 2157366/7 + h. Let z = b - -991. What is the common denominator of z and 5/9?
63
Find the common denominator of (-40 - 2)*8/(-30) and 203/147*147/42.
30
Suppose -p - 48 = -3*p. Calculate the smallest common multiple of 18/((13 - 194/14)/((-8)/14)) and p.
24
Let w = -61487/24 + 2561. Let z = 2052557/40 - 51317. Find the common denominator of z and w.
120
Suppose 5*p = -s + 4*s + 238, -p + 5*s + 30 = 0. Calculate the smallest common multiple of 25 and p.
50
Suppose 3*t - 3*u - 2868159 = -0*u, -4780251 = -5*t - 2*u. Let f = t + -7684419/8. Let n = f + 4491. Calculate the common denominator of n and -21.
8
Suppose 0 = 10*u - 2*u + 120. Suppose -3*t - 41 = -4*m, 2*t = 3*m - 34 + 6. Let i = t - u. What is the smallest common multiple of i and 9?
36
Let u = -92 + 83. Suppose 0 = c + 5*z - 37, -3*z - 9 = -0*c - 2*c. Let d = u + c. Calculate the smallest common multiple of 11 and d.
33
Let a = -1 - -13. Suppose 0 = 3*c + l - 14, -56*c - 3*l = -54*c. What is the smallest common multiple of a and c?
12
What is the common denominator of 81/28 and 4/(-14) + -4*88/(-784)?
196
Let u(q) = 5*q + 207. Calculate the lowest common multiple of 223 and u(-40).
1561
Find the common denominator of 8/384*(1554/12 - -1) and 71/10.
160
What is the common denominator of (-166)/36 - (-6 - -2) and 29/32?
288
Find the common denominator of -35/174 and 6/(-15) + 12/(-2320)*-26.
870
Suppose 8*o = -3*o + 33. What is the lowest common multiple of o and 33?
33
Suppose 9 = 2*x - 9. Suppose -3*h - 15 = 0, -5*o + o - 43 = 3*h. Let t = 9 + o. What is the lowest common multiple of t and x?
18
Suppose -5*z - 26 - 64 = 0. Let r be 1039/z - (-6)/27. Let n = 283/4 + r. Calculate the common denominator of n and 21/8.
8
Let c(y) = 47 + 13*y + 11*y + 10*y - 36*y. Calculate the lowest common multiple of c(19) and 8.
72
Suppose 3*j - 3*f - 39 = 0, -2*j + 7 = f - 13. Let d be 3 + -2 + 3 + 1. What is the common denominator of (j/d)/((-144)/780) and 43/22?
132
Let y be (-3)/5 + 4 + 181/30. Let u = y - 28/3. Find the common denominator of u and -143/18.
90
Let f be (-5 + -3 + 5)/(2/6). What is the common denominator of (f/60)/(1 + (-26)/30) and 65/14?
56
Suppose -5*o + 285 = 2*l, 145 = 3*o + l - 5*l. What is the common denominator of -49/16 and (-510)/12*4/o?
176
Let h = 9673 - 9669. Suppose -2*f + 6 = -4*f, 43 = 4*m - f. Calculate the lowest common multiple of m and h.
20
Let k(q) = q**2 + 15*q + 22. Let s be k(-14). Suppose -s*l + 40 = -6*l. Calculate the lowest common multiple of 174 and l.
1740
What is the lowest common multiple of (-10)/20 - 74*(-2)/8 and 1?
18
Let c(y) = -41*y + 45. What is the smallest common multiple of c(0) and 20?
180
Let u(w) = -12*w + 1. Let h be u(0). Let x = -79 + 356/5. Find the common denominator of (10/15 - h)*69/2 and x.
10
Let f = -126/17 + 1539/187. Find the common denominator of f and -13/101.
1111
Suppose -5*r + r - 152 = 2*g, 5*g - 76 = 2*r. Let j be r/13 + (11 - 9). Let n = -757/39 + j. What is the common denominator of -81/10 and n?
30
Let q = -635/3572 - 67/228. Find the common denominator of -29/18 and q.
846
Suppose 0 = 9*i - 153 + 72. Let u(h) = -9*h. Calculate the smallest common multiple of u(-2) and i.
18
Let y(u) = 5*u**3 - 4*u**2 - 8*u + 2. Let v be y(-6). Let d be ((-1)/7)/((-4)/v). Let j = d - -2899/84. Find the common denominator of j and -107/10.
60
Let r(b) = -b**3 + 6*b**2 + 9*b - 7. Let c(y) = 6*y. Let h be c(2). Suppose -5*g + h = -23. Calculate the smallest common multiple of 1 and r(g).
7
Find the common denominator of 30/119 and ((-4136)/275 + 11)/((-34)/(-5)).
1190
Let j be (25*-2)/((-143)/1240174). Let p = 437857 - j. Let g = p + -4234. What is the common denominator of g and -32?
11
Let o = -9875959773 - -188374056799415/19074. Let p = 4/867 + o. Let z = -206 + 403/2. Calculate the common denominator of z and p.
22
What is the common denominator of 23/39 and (43 + (-36)/6)/78?
78
Let z = -130/277 + -30035/3878. Let h = 1/1869 - 31793/37380. What is the common denominator of h and z?
140
Let a = 5/154 - -1114/77. Calculate the common denominator of a and ((-1078)/(-44))/(0 + 5).
10
Let r = 375 - 2261/6. Let n = -543/209 + 1/19. What is the common denominator of r and n?
66
What is the common denominator of (20/(-3))/((-22)/(-7)) and 76/39?
429
Suppose -22 = -16*l + 14*l. Calculate the lowest