478
Let x be (-2888961)/(-120)*9/(-96). Let h = x - -2257. Let o = h - 13117/3840. Calculate the common denominator of o and -9/2.
12
Let t = 812 + 2168. Let r be ((-131218)/(-44) - (2 - 1))*1. Let c = r - t. What is the common denominator of c and -15/2?
22
Suppose 2*d = -8*d - 10. Let z be d - -3 - -2 - 1. Let b = 27 - z. What is the lowest common multiple of 16 and b?
48
Let y(w) = 286*w**2 - 7*w - 25. What is the smallest common multiple of y(-2) and 4429?
48719
Calculate the common denominator of ((-206)/10)/(110/25) and (-5478)/360 - (-1734)/102.
660
Suppose 118*t + 34*t = 22379 + 310045. What is the lowest common multiple of t and 10?
21870
Suppose 4*u = 3*f + 3541 - 581, 0 = -5*f. What is the smallest common multiple of u and 1998?
19980
Let w be (-1)/(-6) + (-444)/72. Let l(j) = -j**3 - 6*j**2 - 5*j + 4. Let o be l(w). Suppose 4*r - 2*r = o. Find the common denominator of -73/3 and r.
3
Let q(g) = -g**3 + 5*g**2 + 4*g + 1. Let v be q(6). Let o(i) = 0*i + i - 4*i. What is the least common multiple of 6 and o(v)?
66
Let q(p) = -314*p - 16316. Calculate the least common multiple of 11 + (1 - (0 + 0)) and q(-52).
12
Suppose 3*u - 12 = -4*g + 12, -4*g = u - 16. Suppose u*s = 4*b - 188, -51 = s - 4*b + b. Find the common denominator of s and ((-1)/(-2))/((-5)/(-103)).
10
Suppose -5*p = -23 - 2. Let o(m) = -m**2 + 10*m - 3. What is the least common multiple of 38/9 - (14 + (-992)/72) and o(p)?
44
Let a(n) = -656*n**2 - 6*n - 36. Let r be a(-4). Let f = 346595/33 + r. Let z = f - -446/231. Find the common denominator of z and -52/9.
63
Let n = -4423 - -4447. What is the smallest common multiple of 48 and n?
48
Suppose -4*t = -2*g + 2312, -5*t + 2366 = -105*g + 107*g. What is the lowest common multiple of g and 511?
8176
Let w = 108 + -110. Let f be 38*(w/5 - (-483)/70). What is the common denominator of 27/20 and 8/10 + f/(-140)?
140
Let j be (-177)/(-21) + -9 - 36/(-14). Suppose 2 = -j*f + 2*m + 6, -f = 3*m - 10. Let k(s) = 2*s + 8. What is the lowest common multiple of k(6) and f?
20
Let r = -1299/77 - -51088/3003. Calculate the common denominator of r and 5/18.
2574
Let f(v) = -2*v**3 - 11*v**2 + 4*v + 12. What is the smallest common multiple of 544 and f(-6)?
1632
What is the lowest common multiple of 1080 and (-114)/(-1254) - (-1780)/22?
3240
Let h = -25389 - -25392. What is the lowest common multiple of 793 and h?
2379
Let v = 3610/7 + -35757/70. Let k = -453/70 + v. Calculate the common denominator of 61/147 and k.
147
Suppose 0 = -2*q - q + 48. Let c = -95 - -99. Suppose c*w = -4*a + 32, 0*a = 5*a + 2*w - 34. Calculate the smallest common multiple of a and q.
48
Let c(o) = -o**3 - 81*o**2 + 148*o - 258. Calculate the least common multiple of c(-83) and 12.
1236
Let n be -15*(0 + (-1 - (-2)/3)). Let u(i) = 2*i**2 - 6*i + 2. Suppose 2*q = 5*o - 38, 4*o = 2*o - 3*q. Calculate the smallest common multiple of o and u(n).
66
Let a = -2740 + 2752. Calculate the smallest common multiple of 376 and a.
1128
Suppose -4*m + 4*d + 2436 = 0, -13*m + 16*m - 1827 = 5*d. Calculate the lowest common multiple of 42 and m.
1218
Let f = 15163/2732 + -1/6830. Find the common denominator of f and -20/33.
660
Let l be 3 - (2/(-4) - 9/6). Suppose 2*b = 27 - l. Suppose -b*v = -7*v - 88. Calculate the smallest common multiple of v and 68.
748
What is the common denominator of ((-3)/(-2))/((-21546)/56*-1) and 2/627?
5643
Calculate the common denominator of -7/346 and 5/(105/(-12)) - 46*(-1460)/116256.
2076
Let p = 4492 - 350345/78. Find the common denominator of -37/1378 and p.
4134
Let b = 321/2 + -118. What is the common denominator of b and (-16)/(-136) - 24201/27540?
180
Let r(n) = -66 + 2*n + 0*n - n - 10*n. Let l be r(-18). Let y = l - 68. What is the lowest common multiple of y and 8?
56
Let c = -12680/111 - -1749934/555. Let l = 3028 - c. What is the common denominator of -37/4 and l?
20
Suppose 18 = 2*l + y, 27*y + 13 = 3*l + 25*y. Calculate the common denominator of l + 3 + 2626/(-248) and 117/20.
620
Let y = -39702 + 1786669/45. Let v be (-14252)/(-41184) + 2*(-3)/48. Let r = v - -5/234. Find the common denominator of r and y.
495
Suppose -2*f - 16 = -3*a, -21 = 2*a + 2*f - 15. What is the smallest common multiple of 530 and a?
530
Let z = -24339895/8 + 3034422. Let a = z + 8055. Suppose 0 = -c + 3*i + 62, -2*i = 2*c - 40 - 44. Calculate the common denominator of a and c.
8
Let m(g) = -3*g**2 - 32*g - 84. Let t be m(-5). Let j = 3 - 1. Suppose -j*d - t + 5 = 0, 0 = -2*s + d + 64. What is the smallest common multiple of 6 and s?
66
Find the common denominator of 317/(-7925)*(-415)/(-66) and -61/180.
1980
Let m = 85 + -61. Let t(a) = -a**3 + 44*a**2 + 14*a - 592. Calculate the least common multiple of t(44) and m.
24
Let x = 12329/6402 + -15/194. Find the common denominator of x and (-35)/27*(32 + (47 - 76)).
99
Let r = -8 + 18. Let b be -2*1 + -37 + 44. Suppose b*u = 41 - 6. Calculate the least common multiple of u and r.
70
Let y = -21459 + 21511. What is the lowest common multiple of 494 and y?
988
Suppose -786*m = -398*m - 372*m - 3664. Calculate the smallest common multiple of m and 1374.
1374
Let y = -3991 - -5399. Calculate the lowest common multiple of 1536 and y.
16896
Suppose -7*q - 42 = -q. Let r(v) = -v**2 - 7*v + 24. Calculate the lowest common multiple of r(q) and 8.
24
Suppose -45*d - 57 - 483 = 0. What is the common denominator of -47/16 and (-2)/6*(d + 10 - 60)?
48
Let p be 100 - (1 + 2 - 4). Let n = p - 77. Suppose 2*i - 16 = -y + i, 0 = y - i - 20. What is the lowest common multiple of y and n?
72
Let a = -14405 + 14411. Calculate the smallest common multiple of 603 and a.
1206
Let n(p) be the third derivative of -5*p**4/8 + p**2. Let h = -129 + 134. What is the least common multiple of n(-1) and h?
15
What is the smallest common multiple of 568 and (334 - 405)*((-10)/14 + 2/(-7))?
568
Suppose -3*r = -303*h + 302*h - 167, 5*r - 273 = -h. Calculate the least common multiple of 44 and r.
220
Suppose 5*d = -0*w + 4*w - 6, -3*w - 3*d = 9. Calculate the least common multiple of 18 and (-600)/(-18) + w/(5 - 2).
198
Let l = -48 - -72. Suppose -10*z + 1113 = 142 - 769. What is the lowest common multiple of l and z?
696
Let c(h) = h**2 + 11*h - 2. Suppose -5*q + 2*j + 5 = 65, -2*j = 0. Let k be c(q). Suppose k*o - 3*o = 42. What is the smallest common multiple of 10 and o?
30
What is the smallest common multiple of 108262/462 - 7/3 and 32?
928
Let c = 13886 + -15968821/1150. What is the common denominator of 29/8 and c?
4600
Let o(n) = -3*n**2 - 6*n + 2. Let j(s) = s**2 + 2*s - 1. Let v(x) = -8*j(x) - 3*o(x). Calculate the lowest common multiple of 11 and v(-1).
11
Let r(x) = -x**2 - 55*x + 16313. Suppose -c + 5*g = 19, g - 16 = -2*c + 1. Calculate the least common multiple of 17/3 - (-2)/c and r(103).
78
Suppose -2*y + 5*j - 13 = 0, 0 + 2 = -y - 2*j. Find the common denominator of y - (0 + -2) - 60/144 and -1 + ((-13)/(-27) - 0).
108
Suppose 0 = b - 1 + 2. Let n(p) = -4*p + 1 + 0*p + p. Calculate the smallest common multiple of n(b) and 1.
4
Let m be ((-9)/(54/12912))/(-2). Let p = m - 2404. Let b = p + 66393/50. Find the common denominator of b and 79/16.
400
Let v = -3/211 - 7352/2321. Let r(o) = 2*o**2 + 19*o + 6. Suppose 4*z = -6*j + 3*j - 35, -5*j = 4*z + 53. Calculate the common denominator of r(j) and v.
11
Let k = -15 - -21. Suppose -k*x = 663 - 2553. Let o = 953/3 - x. Calculate the common denominator of 99/4 and o.
12
Let a(p) = 11*p**2 - p + 3. Suppose -3*t = -6*l + 9*l - 21, -5*l + t = -17. What is the least common multiple of l and a(3)?
396
Calculate the smallest common multiple of (-17933)/(-1816) - 2/(-16) and 2446.
12230
Let v = -97 - -100. Suppose y - 6*y = -3*f + 4, v*f - 3*y = 6. Calculate the least common multiple of 27 and 4/8 - f/(18/(-105)).
54
Suppose -141*k + 134*k = -63. Suppose k = f - 4*z, 0 = 4*f - 2*z - 5 - 3. Calculate the lowest common multiple of f and 3.
3
Let m = 9965227/32 - 311411. What is the common denominator of m and ((-42)/416)/(1/10)?
416
Let f be 0*((-28)/40 + (-2)/(-10)). Suppose -i = -d - f + 23, 0 = d - 2*i - 23. What is the lowest common multiple of d and 4?
92
Let f = -141269/12 - -11766. Find the common denominator of (-2 - (-14)/(-10))*(-400)/(-32) and f.
12
Let n = -68045 - -6736537/99