0. What is the least common multiple of q and 562?
2248
Let y = -362933/3682 + 690/7. Let n = y - 150/9731. What is the common denominator of -85/18 and n?
666
Let q = -318731/32 + 9961. What is the common denominator of -149/6 and q?
96
Let x(p) = 3*p**2 + 16*p + 18. Let q be x(-6). Find the common denominator of 35/8 and (4 + 245/q)/2.
24
Let t(o) = o**3 - 7*o**2 + o. Let g be t(8). Suppose -5*v + 20 = 0, -v + g = -7*j + 3*j. What is the common denominator of j and 1694/(-72) - (-6)/(-27)?
4
Find the common denominator of ((-779)/(-123))/(-1 + 51/9) and 6/27 + 754/(-396).
154
Let s be -89*(2 + -4)*3. What is the common denominator of -97/4 and (s/(-16))/(21/(-28))?
4
Let q(t) = 24*t**3 - t**2 + 5*t - 6. Suppose 0 = -4*v + 602 - 34. What is the least common multiple of v and q(1)?
1562
Let g(b) = -2*b - 3. Let l be g(-3). Suppose -2*x = l*r - 6*x + 82, 0 = 5*r - x + 131. Find the common denominator of -67/8 and r/(-32) - -3 - -1.
16
Let s = 19 + -7. Let o = 21 - 43. Let u = 24 + o. What is the lowest common multiple of u and s?
12
Let l = -148 + 149. What is the least common multiple of l and 255?
255
Let l(k) = -k**3 - 41*k**2 + 76*k + 16. What is the smallest common multiple of l(-44) and 248?
2480
Let o(h) be the second derivative of h**3/6 + 13*h**2/2 - 47*h. Calculate the least common multiple of o(14) and 24.
216
Let l(t) = 8*t**2 + 146*t + 1314. Calculate the lowest common multiple of 440 and l(-17).
5720
Let a = -137 - -192. Let o(g) = -g**3 - 8*g**2 + 338*g - 146. What is the smallest common multiple of a and o(-23)?
165
Let r = -381/7 - -28901/518. What is the common denominator of 35/481 and r?
962
Let d be -3 - (186 - (-9)/3). What is the common denominator of d/(-33) - -6 - 8 and 39/610?
6710
Suppose 4*l + 40 + 8 = 0. Let x be (-1 - 0/3) + 10186/l. Let k = -835 - x. What is the common denominator of -35/36 and k?
36
Let d = 529737 - 259571253/490. Let m = -22/49 + d. Find the common denominator of m and (-21)/(-12)*(-14)/(-3).
30
Let b = 472/25 - 3711/200. Let t = 50649 + -4457033/88. Calculate the common denominator of b and t.
440
Let j(t) = 5*t**2 + 226*t - 5106. Suppose 0 = -3*s - 2*l + 58, 5*l + 85 = 5*s - 20. What is the least common multiple of j(-62) and s?
1020
Suppose -2*h + 5*d - 350 = 0, 0 = -0*h - 4*h - 5*d - 670. Calculate the common denominator of 47/14 and h/(-8)*(-53)/(-20140).
2128
Let o = -1463 + 2871/2. Let l = 2/10475 - -125558/743725. Let t = l - -4567/284. Calculate the common denominator of t and o.
4
Let q = 138551/58008 - 234/2417. Let r = -715/16 - -19165/432. Find the common denominator of r and q.
216
Suppose 11*r - 22 = -0*r. Let p be (3431/r)/(8 + -2156). Let a = p - -5/716. What is the common denominator of -49/18 and a?
72
Let y = 66 - -17. Suppose y*l - 89*l + 348 = 0. Calculate the smallest common multiple of 10 and l.
290
Let h(g) = 578*g. Let q be h(-2). Let a = -54838 - -112065/2. Let w = q + a. Find the common denominator of 51/14 and w.
14
Let p(n) = n**2 - n + 84. Let y be p(0). Suppose 91*d - 98 = 77*d. Suppose -d*r + y = -42. What is the common denominator of r and -1/37?
37
Let i = 21 - -17. Suppose -2 = -2*d + i. What is the smallest common multiple of 4 and 5 + (-112)/d - 56/(-10)?
20
Suppose -4*a = -d - 6, -5*a = -4*d - 2 - 0. Let w be (3/a)/(9/12) + -1983. Let m = 15869/8 + w. Calculate the common denominator of m and 17/6.
24
Suppose 49*a - 5*s - 30 = 46*a, 0 = -2*a - s + 7. Calculate the smallest common multiple of a and 6.
30
Let n = -138 + 141. Calculate the smallest common multiple of (-5)/(((-10)/n - -3) + 0) and 4.
60
Suppose -5*q = 5*o - 680, 664 = 149*q - 144*q + 3*o. Calculate the smallest common multiple of q and 0/(-2) + 9 + 3.
384
Let p(g) = -315*g + 41. What is the smallest common multiple of p(-1) and 7?
2492
Suppose 4*o = -158 - 174. Let c = o + 414/5. Find the common denominator of -68/15 and c.
15
Let d = 8328 - 83321/10. Find the common denominator of (1/54)/((-14)/(-762)) and d.
630
Suppose -2*k = 4, 1 = 3*r - k - 22. Let z be (-13)/(-2)*r/((-28)/(-16)). What is the smallest common multiple of 20 and (-195)/z*-1*4?
60
Let f(h) = h**3 + 2*h**2 - 1. Let x be f(1). Suppose 4*c + x*q = 14, 0*q = -q - 1. Calculate the common denominator of (-2*(-5)/180)/((-6)/c) and 50/9.
27
Let z = 78524857058005219/578736 - 135683380778. Let d = z - 2/4019. Find the common denominator of 133/36 and d.
144
What is the least common multiple of (-12)/14*((-40)/(-180))/((-6)/441) and 16982?
16982
Suppose 0 = -5*r - 2*m + 86 + 2398, 2*r = -2*m + 996. What is the least common multiple of 434 and r?
3472
Let h = -211183/5032 + 4693/111. Let o = -152554 + 1220393/8. Find the common denominator of o and h.
408
Suppose -c - 48 = t, -4*t + 111 = -2*c + 15. Let m = -52 - c. Calculate the common denominator of (54/176)/(m/16) and 97/10.
110
Let u = -2163 - -2235. What is the smallest common multiple of 783 and u?
6264
Suppose 3*u - 4*v = 152, 56 = 4*u + 3*v - 155. Suppose 0 = -3*t + u - 7. Let w = t - 6. Calculate the smallest common multiple of 11 and w.
99
Let t(b) = 7*b**2 + 2*b + 1. Suppose -13*z - 144 = -5*z. Let y = z - -30. Calculate the least common multiple of y and t(-1).
12
Suppose -21*y + 16*y = -310. Let u = y + -55. Calculate the least common multiple of 252/35 + 2/(-10) and u.
7
Suppose 0 = -3*v - 2 + 35. Suppose 0 = -8*o + v + 29. Calculate the smallest common multiple of o and 3.
15
Suppose -330 = 246*s - 251*s. What is the lowest common multiple of ((-20)/3)/1*-3 and s?
660
Let l = 126 - -109. Find the common denominator of 107/10 and (-6 - l/20) + (-2 - -2).
20
Suppose -2*z + 4 = -2*j, 3*j - 18 = -3*z - 0*j. Calculate the smallest common multiple of 4/(4/z) + 2 and 3 + (-1 - (-32)/2).
18
Suppose 2*l - l = -17*l. Let g = -10/211 - -3245/1688. Calculate the common denominator of 1/(l + 8)*754/(-611) and g.
376
Suppose 0 = -4*g + 4*f + 24508, -4*g + 0*f + f + 24508 = 0. Let h = 61369/10 - g. What is the common denominator of (-204)/(-30)*((-188)/84 + 2) and h?
210
Let r = 58552 + -24006289/410. What is the common denominator of r and (213/2)/(4 - 34)?
820
Let f(x) = -x**3 + 13*x**2 - 5*x - 12. Let q(n) = -2*n + 123. Calculate the least common multiple of f(12) and q(51).
504
Calculate the common denominator of 14/33 and (7 - (-82390)/13620) + -13.
14982
Let x = -1807 + 2611. Suppose -x - 626 = -11*g. What is the smallest common multiple of g and 6?
390
Suppose -2*s = 3*z + 26 + 75, 2*s + 121 = z. Calculate the common denominator of 4/4*s/14 and ((-56)/21)/((-117)/(-108)).
91
Let q(j) = j**3 + 11*j**2 + 19*j - 35. Suppose 0 = -5*v - 15, -3*a = -0*a - v - 12. What is the least common multiple of q(-8) and a/(-6) + 36/8?
20
Suppose -2*m = -26*m + 4*m + 8840. Calculate the lowest common multiple of 130 and m.
2210
Let d = 2573239/1570068 - 2/43613. What is the common denominator of -22 + 20 - ((-927)/(-108) - 7) and d?
36
Find the common denominator of -3 + 1204/(-1146) + 32/8 and -37/27.
5157
Suppose -43902 + 8022 = 5*r. Let q = 42929/6 + r. What is the common denominator of q and -137/12?
12
Suppose -j + 5*y + 53 = 0, -13*j = -16*j - 2*y + 40. What is the smallest common multiple of 39 and j?
234
Let r(f) = -6*f**3 - 3*f**2 + f + 2. Let n = -235 - -240. Suppose 0 = -s - 5, 7*l - 8*l = n*s - 3. What is the lowest common multiple of r(-2) and l?
252
What is the common denominator of ((-74)/94)/((-4230)/940) and 50/141?
423
Let w be (5/(-15))/(2/(-522)). Let j(f) = -f**2 + 3*f + 22. Let v be j(12). Let g = w + v. Calculate the lowest common multiple of g and 7.
7
Let t(d) = 29*d + 192. Let q be t(-6). What is the common denominator of 7/7*(0 - 393/q) and 44/97?
582
Let l = 62376 - 4990199/80. Suppose -h = -5*m - 48, -2*m = -4*h + 2*m + 240. Find the common denominator of l and ((-2)/(-48))/(h/2100).
720
Suppose 0 = -5*g + 103 + 2. Let k = -99 + 101. Suppose 41 = 5*l + k*r, -l = l - 5*r - 28. Calculate the smallest common multiple of g and l.
63
Let t be 114/(-209) - (-425067)/(-495). Let p = t - -1238089/1440. Calculate the common denominator of p and 61/8.
288
Suppose -5*h = -3*h - 1244. Find the common denominator of 173/30 and h/231 + 156/286.
210
Let j = -240 + 244. Suppose -28 = -4*s - j*q, -2 - 1 = 3*s - 3*q. Calculate the lowest common multiple of 248 and s.
744
Let l(v) =