 a = 1085614/1461215 + -4/41749. What is the common denominator of 1954/84 + (-21)/49 and a?
210
Suppose i = x - 5*x + 99, 5*i - 15 = 0. Let v = x + -16. Calculate the smallest common multiple of v and (-6)/(-39) - 200/(-52).
8
Let g be 30/(-4 - 110/(-28)). Find the common denominator of -1/42 and ((-24)/(-7))/12 - (-554)/g.
210
What is the smallest common multiple of -288 + 286 - (-8)/2 and 4488?
4488
Suppose s = 4, -6*s + 4*s - 7 = -5*c. Suppose c*l - 2*l + 4*g = 437, 3*g + 1281 = 3*l. Let t = -911/2 + l. Find the common denominator of -41/56 and t.
56
Let f = 19/21 + -1627/1806. Calculate the common denominator of 97/102 and f.
4386
Let f(z) = 62*z + 72. Calculate the lowest common multiple of f(9) and 42.
630
Let z(m) = -20*m**2 + 3*m. Let w be z(2). Calculate the lowest common multiple of (1 - 2)*-4*(-259)/w and 36.
252
Let r be (-1)/(-2) - (-170730)/480. Let y = r - 356. What is the common denominator of 29/38 and y?
304
Let n = 119251/10 + -11936. Let k = 365732/219 + -1670. Let t = -263/4818 + k. Calculate the common denominator of n and t.
110
Let w = -3696 + 4044. What is the least common multiple of w and 522?
1044
Let h(i) = -i**3 - 3*i**2 + 17*i + 2. Let y be h(-6). Calculate the least common multiple of 2*6 - (-6 + y)*3 and 30.
30
Let r(s) = 2*s + 159. Let k be r(-31). Suppose 0 = 96*t - k*t + 36. Calculate the smallest common multiple of t and 12.
36
Let o = -205 + 189. What is the least common multiple of (-2)/o + (2 - (-220)/32) and 12?
36
Let f(j) be the first derivative of -j**3/3 + 33*j**2/2 - 42*j - 65. Calculate the smallest common multiple of 5 and f(31).
20
Let m(k) = -11*k - 141. Let x = 149 - 79. Calculate the smallest common multiple of m(-21) and x.
630
Suppose -21*m + 407 = -166*m + 3017. Let c(q) = 15*q - 3. Calculate the lowest common multiple of m and c(2).
54
Let m = -2661 - -10721/4. Let a(q) = -q**3 - 18*q**2 - 48*q + 14. Let y be a(-6). Find the common denominator of (-139)/30*y/78 and m.
36
Let i = -10567/8388 - -67/233. Let h = 0 - -10. Find the common denominator of 86/4*(-5)/h and i.
36
Suppose 4*n - 5*t = 255, -t - 14 = 4*n - 251. Calculate the common denominator of (1253/n)/7 - (-218)/(-327) and -63/116.
1740
Suppose -4*p + 84*m = 88*m - 504, -630 = -5*p - 6*m. Suppose -y = 3*y - 24. What is the lowest common multiple of p and y?
126
Let k = -58339/6103405 + -2/6685. Let n = 59057/29216 - k. Find the common denominator of n and 89/48.
96
Let r(a) = -18 - 3*a + 5*a**2 + 9*a**2 - 13*a**2. What is the least common multiple of 4 and r(11)?
140
Suppose -w + 10 = -13*a + 14*a, -4*w + 36 = 2*a. Calculate the smallest common multiple of 760 and w.
760
Let b = -9493/888 - 76/111. Let p(c) = -c**2 + 2*c + 1. Let f be p(-1). What is the common denominator of (f/(-33))/(4/228) and b?
88
Let s(b) = 4*b**2 - 123*b - 1512. Calculate the least common multiple of 210 and s(-11).
13650
Let n = 4529/27 + -71573/432. Calculate the common denominator of n and 318/784 + (-2)/7.
784
Let u = -103 + -77. Find the common denominator of 30/(-40) + (-831)/u and 38/13.
195
Let z be (-8507009)/131*1/18. Let j = z - -3610. What is the common denominator of 99/16 and j?
144
Let i = 1954/3 + -39443/60. Find the common denominator of 59/220 and i.
220
Let s(g) = -3*g - 2. Let a(c) = -19*c + 17. Let w(o) = -5*a(o) + 30*s(o). Let r = 1 + 6. What is the lowest common multiple of r and w(31)?
70
Let j be 8/28 - 12201/(-36). Let l = j + -2452/7. Calculate the common denominator of 89/48 and l.
48
Suppose 3 = 3*a - 9. Suppose 95 = t + a*t. Suppose 1065 = -17*l + 1184. What is the lowest common multiple of l and t?
133
Suppose 4*k + 4 = 0, -3*t = t + 26*k - 1054. What is the smallest common multiple of 5 and t?
270
Suppose 15*z = 264 - 54. Suppose 4*o + 116 = b, 2*b = -10*o + z*o + 248. What is the smallest common multiple of b and 60?
660
Calculate the common denominator of 119/342 and 18/60*(-6 - 1990/(-1140)).
684
Let h(k) = -6*k + 108. Let s be h(15). What is the lowest common multiple of (-4)/s + 13/(585/550) and (-11)/(-3) - 2/(-6)?
12
Let o = 5629/3 - 1864. What is the common denominator of (-3)/(-10) - (-2)/5 and o?
30
Suppose -510 = -5*y - 3*o - 119, 2*y = o + 163. Suppose -1241 = -11*m - 801. What is the least common multiple of 8 + m/(-8) + 2 and y?
80
Let k be (-8088)/144 + (-2)/(-12). Calculate the common denominator of k/21*1/4 and ((-4)/15)/(6696/1110 + -6).
9
Find the common denominator of -32/33 and (75/225)/(((-2475)/430)/(-1)).
1485
Let s = -8978 + 179639/20. Let x be (4 - (488/(-12) + 3))*-1. Let f = -23/6 + x. What is the common denominator of s and f?
20
Let h = -88195/3876 - -4/969. Let p = -353446739254/125235 + 64912345/23. Let t = p + 42/605. What is the common denominator of h and t?
36
Suppose 0 = -48*p + 979 - 499. Let j = -14 - -24. What is the least common multiple of p and j?
10
Suppose 2*j = 10, 5*c + 3 = 4*j + 8. Suppose -5*d + 5*l + 15 = -65, 0 = -c*d - 5*l + 40. Calculate the common denominator of 159/d*1*-1 and -23/18.
36
Let z = 33139/12 + -2758. What is the common denominator of -3 + 732/(-144) - -6 and z?
12
Let u(o) = -12*o - 2 - 4 - 6 + 14*o. Let h be u(3). What is the least common multiple of 20/30 + (-32)/h and 96?
96
Let u = 2/157401 - 1102861/82950327. Let b = 5293/37944 - u. Find the common denominator of b and -119/60.
360
Let f = 292 - 258. Suppose 6*z + f = 106. Calculate the least common multiple of 15 and z.
60
Let l(y) = -2*y**2 + 55*y + 96. What is the lowest common multiple of l(29) and 288?
288
Let u be (-7)/(27783/12)*6/10618. Let k = -13987001159/7023807 - u. Let w = 1992 + k. Calculate the common denominator of -77/6 and w.
54
Suppose -5*m - 10*h = -15*h + 1375, 4*h = -5*m - 1402. Calculate the common denominator of 19/10 and m*-5*(-2)/(-2160).
540
Let n = -468 + 637. What is the lowest common multiple of n and 15?
2535
Suppose 3*m - 2*z = 5096, 3398 = -86*m + 88*m - z. Calculate the least common multiple of 50 and m.
1700
Let d = -615/2 + 1257/4. What is the common denominator of d and (1/4*-2)/((-20)/(-38))?
20
Let b = 2339/2 - 77239/66. What is the common denominator of 32/411 and b?
4521
Let u = -26/1765 - 245023/21180. Calculate the common denominator of u and -113/234.
468
Suppose -2*f + 7*f = 70. Calculate the lowest common multiple of f and (-12*1/5)/(1089/(-7260)).
112
Let q = -50363665 + 1007031239/20. Let c = 11979 + -24076. Let l = q - c. Find the common denominator of l and 49/60.
60
Let k be 2 + -6*337427/(-23). Let i = 88064 - k. Let q = 27865/713 - i. What is the common denominator of q and -37/10?
310
Suppose 5*s - 3*u = 225, 90 = 2*s - 23*u + 26*u. Suppose 0 = -s*n + 37*n + 640. What is the least common multiple of n and 8?
80
Let l be 52/(-6)*(297/18 - 15). Let g(x) = -9*x - 111. Calculate the smallest common multiple of g(l) and 26.
78
Let n(k) = -k**2 + 941*k + 138048. Let x = 174 - 58. Calculate the smallest common multiple of n(-129) and x.
1044
Let b(w) be the first derivative of 5/3*w**3 + 21 + 4*w + 3/2*w**2. Calculate the lowest common multiple of 162 and b(-2).
162
Let x = 2093473/123 - 17020. Calculate the common denominator of x and -23/738.
738
Suppose -2*b - 4 = -2*v, -3*b + 1 = -v + 3. Suppose -12 = v*h - 16. Find the common denominator of 852/176 + (h - 22/8) and -19/3.
33
Let u(n) = -2*n. Suppose 2*r = 3*y - 10, 0 = -2*r + 5*r + 6. Suppose 3*q - 28 = -y*k - q, -33 = -2*k - 5*q. Calculate the least common multiple of k and u(-6).
12
Let a(i) = i**3 - 6*i**2 - 3*i - 14. Let m(y) = y**3 - 7*y**2 - 4*y - 15. Let p(l) = 5*a(l) - 4*m(l). Calculate the least common multiple of 170 and p(3).
170
Let u(l) = 5*l**2 + 14*l + 1060*l**3 + 2*l - 1061*l**3 - 18. Calculate the least common multiple of u(6) and 35.
210
Suppose 159 + 1507 = 2*k. Let i be (-4 + 3)/(-1) - k/(-32). Let c = 27 - i. What is the common denominator of 63/22 and c?
352
Let a be ((-3)/(-9))/((-5)/(-3330)). Find the common denominator of 22*(3 + a/(-216)*3) and 35/76.
228
Let u be (-30)/(-5) + (-3)/(-1). Let a be (6/u)/((-8)/(-36)). Suppose -4 = -4*h + a*h. Calculate the smallest common multiple of h and 7.
28
Suppose 2*l + 2*l - 192 = 0. Suppose j + 2*d + 42 = 3*j, 2*j = 4*d + l. Calculate the smallest common multiple of j and (-8 + 1)*(-1 + 3 - 4).
126
Let n = -2120 + 8525/4. Find the co