34. Find the common denominator of p and -13/276.
828
Let g(t) = t**2 + 5*t + 6. Suppose 2*k = 35 - 99. Let s = k - -34. What is the lowest common multiple of g(-5) and s?
6
Suppose 2*z - 16 = -2*z. What is the least common multiple of 124 and z?
124
Suppose 0 = 4*q + 7056 + 3712. Let c = -21589/8 - q. Calculate the common denominator of c and 53/4.
8
Find the common denominator of 81/518 and 46/(-12)*2/(32/(-6)).
4144
Let k = 1/1918 - 14393/15344. Calculate the common denominator of k and 0 + -2 - (-5 - 118/12).
48
Let x = 3134 + -31307/10. Calculate the common denominator of x and -91/10.
10
Suppose 0 = 4*b - 0*b - 2652. Suppose -5*k + 337 = v - b, 4*v = 0. Suppose k = -4*d - d. Calculate the common denominator of d and 61/3.
3
Let l = 111/416 + 629/12064. Find the common denominator of -87/8 and l.
232
Let k = 300 - 201. Calculate the least common multiple of 171 and k.
1881
Suppose 0 = 5*g - 2*u + 1, -1 = -4*g - 4*u + 15. Let i = -31 - -14. Let a = -5 - i. Calculate the least common multiple of a and g.
12
Let m = -16 + 10. What is the lowest common multiple of ((-36)/(-15))/((-6)/(-20)) and -2*(m/(-4) - 2)?
8
Let y = -3/784 + -40367/2352. Find the common denominator of -7/16 and y.
48
Let o(i) = -i**3 + 5*i**2 + i - 3. Let g = 10 - 5. Let z be o(g). Suppose 11 = z*k - 9. What is the least common multiple of k and 6?
30
Suppose 5*s + 2*r - 25 = 2*s, 2*s - 4*r = -10. Let v(w) = 2*w**2 + 5*w + 6. Let b be v(s). Calculate the common denominator of 0/(-2) + b/8 and -83/14.
56
Let g = -93949/102200 + -3/4088. Calculate the common denominator of g and -47/40.
200
Suppose -2*l - l = -45. Suppose 4*n + 5 = -l. Let z = n - -8. Calculate the smallest common multiple of 10 and z.
30
Let k(o) = -o**3 + o**2 + o - 4. Let t be k(2). Let f = t + 16. What is the smallest common multiple of f and -1 - (0 - (5 + 0))?
20
Let j = 1/58 - -2869/116. Let g = 106220/11 + -9661. Find the common denominator of j and g.
44
Let x = -13/346 + -7321/16954. What is the common denominator of 53/56 and x?
392
Calculate the common denominator of 5*-1 + 7 + 2170/(-1064) and -103/190.
380
Suppose 0 = 2*u - 0*u - 54. Let x(j) = 2*j**3 + 2*j - 2. Calculate the least common multiple of ((-28)/12 + 3)*u and x(2).
18
Suppose -24*t = -26*t + 4. Suppose -4 = -a - g - 2*g, 26 = 4*a + t*g. Let f(o) = -o**3 + 3*o + 1. What is the smallest common multiple of a and f(-3)?
133
Suppose u + f = -4*u - 328, 2*f + 194 = -3*u. Find the common denominator of -61/14 and u/(-32) - 12/4.
112
Suppose 5 = 3*j - 4. What is the common denominator of (-1)/((-90)/(-31) - j) and 17/2 + (-4 - -5)?
6
Let r = -6/849677 + 19677669679/5098062. Let l = r + -3849. What is the common denominator of 17/10 and l?
30
Let f be 7 + 52/(-14) + 2/(-7). Suppose -3*p - 3*h + 1 = -8*h, 0 = 3*p - f*h - 3. What is the least common multiple of 13 and p?
26
What is the common denominator of -11/36 and (-3)/((-24)/1) - 4956/(-2592)?
108
Calculate the common denominator of ((-61)/(-96))/(6/(-30)*5) and -113/14.
672
Suppose 3*y = 6*y - 30. Let b be 24/10 + (-2)/5. Suppose -b*w - 2 = -y. What is the lowest common multiple of w and 20?
20
Suppose u + 3*u + 20 = 4*g, 3*u - 10 = -2*g. Suppose 5*k + u = 10. Suppose 2*i = -k*i + 20. What is the least common multiple of 10 and i?
10
Let g = -2489/1880 + 82/235. Find the common denominator of g and -91/32.
160
Find the common denominator of -85/2 and ((-83096)/11817)/17 - 4/(-18).
606
Suppose -v + 45 = x - 21, -306 = -5*x + 3*v. Calculate the smallest common multiple of 4 and x.
252
What is the least common multiple of 105 and 13 + 30/(6/1)?
630
Let q = -4966 - -59551/12. Calculate the common denominator of -25/12 and q.
12
Suppose -193 = -4*y + 5*b, 173 = -0*y + 4*y - b. Calculate the least common multiple of 21 and y.
42
Let f be 19 + ((-10)/(-2) - 4). What is the common denominator of -83/4 and f/10*(1 - (-51)/(-10))?
20
Suppose -4*v + 42 = 5*z, -2*z - 2 = 2*v - 20. What is the lowest common multiple of z and 22?
66
Suppose 0 = r + 4 - 2. Let o be (-28558)/(-16) + r/1. Let a = 1777 - o. What is the common denominator of 49/4 and a?
8
Let l(f) = -f**2 + 29*f + 212. What is the lowest common multiple of l(33) and 28?
560
Suppose 371 = 3*x + 2*t, -5*x + 3*t + 292 = -320. What is the least common multiple of x and 15?
615
Let g(b) = 7*b**2 - 36*b - 126. Calculate the least common multiple of g(-4) and 65.
130
Calculate the smallest common multiple of 7 - 2 - (-33)/(-11) and 52.
52
What is the common denominator of 6/((-1500)/(-1655)) - 6 and 121/30?
150
Suppose 0*p + 2*p = 5*f - 138, 0 = -3*p - 12. Calculate the lowest common multiple of 36 and f.
468
Suppose 8 = 3*t - 70. Suppose -27*j = -97 - 443. Calculate the lowest common multiple of j and t.
260
Suppose 25 = -7*w - 122. Let s = w - -23. What is the least common multiple of s and 1?
2
Let v = -2/227 - 9757/454. Suppose -1 = -o, 4*t - 706 = 4*o - 3510. Calculate the common denominator of (-30)/t + 6/10 and v.
14
Let v be (0/(-1) + -1)*-488. Let n = -1/505 - -17686/5555. What is the common denominator of n and ((-9)/(-24))/(18/v)?
66
Let o = -687179 - -5488369/8. Let d = 1131 + o. Calculate the common denominator of d and 49/10.
40
Let p = -41293/10 + 4126. Let j be 1 - (-117)/(-16) - 1. Let g = 11/2 + j. Calculate the common denominator of g and p.
80
Let b(j) = 9*j - 14. Let k be ((-2)/(-5))/((-72)/15 + 5). What is the least common multiple of b(k) and 4?
4
Let v = 135 + -78. Let c = v + -21. Calculate the least common multiple of c and 10.
180
Suppose -2*r + 13 - 3 = 0. Suppose r*u = u + 84. Calculate the common denominator of 39/11 and (u/(-24))/(3/18).
44
Let x = -163 + 172. What is the smallest common multiple of 203 and x?
1827
Let i(l) = l**2 + 8*l + 7. Let m be i(-7). Suppose 2*h + 36 = 5*h. What is the lowest common multiple of h and (-7)/(7/(-4)) + m?
12
Let z = 5782579411/5714 - 1012002. Let f = z - -1147383/99995. Let a = -43/14 + f. What is the common denominator of a and -32/9?
45
Let d(q) = -2*q**3 + q. Let g be d(-2). Suppose g - 52 = 2*m. Let y = m - -20. What is the smallest common multiple of 10 and y?
10
Let n = -11/3691 - -3990125/51674. Let d = n - 77. Calculate the common denominator of d and -77/18.
126
Let u(i) = i**3 + 37*i**2 - 42*i + 68. What is the least common multiple of u(-38) and 4?
220
Let b be (2/6 - 115/(-15))/1. What is the common denominator of 105/(-96) + (b - 5) and -19/44?
352
Suppose 0 = -2*t - 0*t - 10, -4*t = -3*m + 59. Suppose 50 = m*i - 3*i. Calculate the smallest common multiple of i and (-4)/(-6)*(-3)/(-2).
5
Let l(b) = b**3 - 2*b**2 - 4*b + 4. Let t be l(4). Let i be 6/12 + 27/(-2). Calculate the common denominator of 101/20 and 2/(-8) + i/t.
20
Let p = 117 + -114. Suppose 352 = -p*v + 7*v. Calculate the smallest common multiple of 5 and v.
440
Let a = -2709 - -167973/62. Find the common denominator of 29/2 and a.
62
Let r(t) = -9*t - 15. Let n(o) = -5*o - 7. Let m(a) = -7*n(a) + 4*r(a). Let y be m(-15). What is the common denominator of y/(-6)*(-42)/140 and -41/7?
35
Let m be (-10)/15 - 112917/2682. Let n = -211/3 - -31559/447. Let j = m + n. Calculate the common denominator of 91/4 and j.
4
Calculate the common denominator of 53/78 and ((-94760)/(-744))/23 - 5/1.
2418
Let p be 39/36*(-188)/(-20). Let j = p + -235/12. Calculate the common denominator of j and 1/4.
20
Let v(n) = n**2 - 3*n - 1. Let l(w) = w**2 + 7*w - 4. Let d be 3/(-1*(-3)/(-8)). Let z be l(d). What is the smallest common multiple of 7 and v(z)?
21
Let f = 314221051/1474335 + -96/10921. Let v = f + -1073/5. Calculate the common denominator of v and 35/3.
27
Let x(z) = -2*z + 2. Calculate the least common multiple of (-308)/(-21)*((-9)/6 - -3) and x(-3).
88
Let m = 50 + -58. Let g(c) = -c**3 - 8*c**2 - 3*c. Calculate the lowest common multiple of g(m) and 18.
72
Let r = -68 + 15. Let t = -45 - r. Calculate the smallest common multiple of 22 and t.
88
Let j = -252 - -966. Suppose 3*q + 1413 = k + k, k + q - j = 0. Let h = k + -3537/5. Calculate the common denominator of 13/9 and h.
45
Find the common denominator of (-805)/756 - (-6)/24 and 85/72.
216
Let m = -6150 - -61607/10. Suppose 41 = x + 4*n, -4*x + x = -2*n - 123. What is the common denominator of x and m?
10
Let x = 13119 - 19808. Let s = 220666/33 + x. Fi