nd o?
2310
Let w = 162 + -129. Let u(i) = -i**3 - 7*i**2 + 10*i + 18. What is the smallest common multiple of ((-9)/(-27))/(1 - w/36) and u(-8)?
4
Let c(x) = 10*x + 68. Let o be (-5 + (-19)/(-2))/(12/(-16)). Calculate the smallest common multiple of 304 and c(o).
304
Let r(g) = -29*g - 782. Calculate the smallest common multiple of r(-27) and 271.
271
What is the least common multiple of 483 and 164/28 - (-462)/(-539)?
2415
Let l(w) = -51*w**2 + 434*w + 29. What is the least common multiple of l(7) and 710?
2840
Let p = -1960321 - -2803259163/1430. Find the common denominator of p and -56/39.
4290
What is the common denominator of (16/(-18) - (-162)/729) + (-1346)/(-1470) and 149/294?
1470
Let h = -796/11 - -73. Let l = -59500/3 + 20425. Let i = -599 + l. What is the common denominator of h and i?
33
Let o be ((-4)/(-8))/(-1 + (-35906)/(-35914)). Let t = -2238 - o. Find the common denominator of t and 79/24.
24
Let v be (1 - 0)/1 - -1. Suppose -55 - 269 = -27*b. What is the lowest common multiple of (22 - v)/(b/6) and 8?
40
Let h = -21068/3 + 9438221/1344. Calculate the common denominator of -73/88 and h.
4928
Let j(m) = -m**3 - 28*m**2 + 55*m - 129. Let w be j(-30). Let p = 0 - -7. Calculate the lowest common multiple of 4/12 + 1022/w and p.
49
Let t be (-1)/(-3) - 937/(-3759). Let h = t + -2/179. Find the common denominator of h and 38700/(-2520) + (-2)/14.
14
What is the smallest common multiple of 60 and (117/(-65))/((-18)/240)?
120
Find the common denominator of 119/198 and (270 - 265)*(-2)/(-468).
2574
Let m = -42 + 79. Let g = m + 157. Calculate the smallest common multiple of 6 and g.
582
Let t = -5057379 + 5689550992/1125. Let l = -11/375 - t. What is the common denominator of l and -94/15?
45
Let s(c) = c**3 - 12*c**2 - 31*c + 19. Let x be s(14). Let z be (1 + 1)/(x/(-46)). What is the least common multiple of 10 and (6 + z/(-2))/2?
10
Suppose -1 - 5 = -2*t + 3*o, -o + 14 = 2*t. Let v(p) = 22*p + 25. Let g be v(t). Let s = g + -133. What is the least common multiple of s and 12?
24
Calculate the common denominator of -34/11 and 14/(-4) + 33894/10108.
3971
Let x = 1941 + -1914. What is the smallest common multiple of 7*((-1152)/(-14))/8 and x?
216
Suppose p - 238 = -13*p. Suppose 3*s = -2*t + p, 10 = 3*t + s - 5. Calculate the smallest common multiple of t and 40.
40
Let y = -354 + 359. Suppose -4*i = f + 3, 3*f + 2*i - y*i = -54. Find the common denominator of -21/5 and f.
5
Let h be 102/(-9)*12/8. Let x = -19 - h. What is the common denominator of (21/9)/(x/(-13)) and -27/8?
24
Let h = 717179/243558 - 2/13531. What is the common denominator of 109/30 and h?
90
Let d = -238 - -238. Suppose 4*p - 110 - 114 = d. What is the smallest common multiple of 77 and p?
616
Let x = -7 - 115. Let b = x + 124. Calculate the lowest common multiple of b and 8.
8
Find the common denominator of 17/2 and (-24354)/1722*(-2)/(-696).
812
Suppose 0 = -57*d + 63*d - 24. What is the common denominator of 315/13475*(1 + d) and -7/66?
462
Let m = -31/23995 - -3020021/15980670. Calculate the common denominator of -99/296 and m.
2664
Let n = 30989 + -1239667/40. Let g = 138 + 159. Let w = -675/2 + g. What is the common denominator of n and w?
40
Suppose -357*r = -325*r - 45760. Calculate the lowest common multiple of r and 9.
12870
Let u(w) = 4*w + 164. Let h be (1 - (20 - 3)) + (-75)/15. What is the lowest common multiple of 40 and u(h)?
80
Let z be ((-170)/40)/(-17) - 114/8. Let x be ((-2)/8)/(2/(-8)). Calculate the least common multiple of ((-7)/z)/(x/10) and 8.
40
Suppose 0 = -4*v + c + 52, -2*v - 6 = -3*c - 22. Suppose -15*o = -v*o - 32. Suppose 4*a = -a + 180. Calculate the smallest common multiple of a and o.
288
Calculate the least common multiple of 4960 and 1/((-9*7/(-7560))/3).
44640
Let h(u) = -32 + 18 - 12 + 3*u. Let t = -8 + 17. What is the smallest common multiple of 10 and h(t)?
10
Calculate the common denominator of 35/121 and 10 + -9 + (1/(-4) - (-31010)/(-37400)).
10285
Suppose 29*f = 18882 + 18478 + 12926. Calculate the least common multiple of f and 238.
12138
Suppose -6*u - 11 = -35. Suppose r = 2*x + 4, u*x = -r + 6*r - 20. Let b = -55 - -123. What is the smallest common multiple of b and r?
68
Let p = 2706347 + -8671135871/3204. Calculate the common denominator of -75/16 and p.
12816
Find the common denominator of -61/534 and (4/(-261))/(-20*(-1)/15).
15486
Calculate the common denominator of 33/680 and (-341)/6138 - 463/1224.
680
Let c be (-3 + 4)/((-3)/(-6)). Let i be 1/c*0 + 5552/(-12). Let q = i + 449. Calculate the common denominator of 61/21 and q.
21
Suppose 11*x = 6 + 5. Calculate the lowest common multiple of 6 and (x + (-8)/3 + 3)*12.
48
Let w(d) be the first derivative of 5*d**2 - 42*d - 54. Let n(j) = j**2 + 4*j - 2. Let c be n(-6). What is the least common multiple of 2 and w(c)?
58
Calculate the smallest common multiple of 122 and ((-12)/10)/(-2) + 17/(-850)*-4370.
5368
What is the common denominator of -3 + -16 + 791375/41650 and 57/8?
6664
Suppose 93*x - 100*x - 217 = 0. Let d = -11 - x. What is the least common multiple of d and 18?
180
Let v be ((-4)/(-8)*30)/(-1). Let u be (5415/2)/(v + 12). Let g = u + 921. Find the common denominator of 8/5 and g.
10
Let k = -154/15 - -5857/420. What is the common denominator of k and 11/700?
700
Suppose -34 = -2*o + 4*b, -2*o + 7*o - 2*b - 45 = 0. Suppose 2*j + 4*m = 22, o*m = 2*m + 5. What is the least common multiple of j and 6?
18
Let p = -211/1459 + 405947/1969650. What is the common denominator of 103/1485 and p?
14850
Let n = 145 + -136. Calculate the common denominator of (n/((-3528)/(-256)))/((-6)/(-7)) and 73/18.
126
Find the common denominator of 4/91 and (-1)/20*2625/100.
1456
Let z be (7 + -10)*(-2)/6 - -12. Suppose -g + 19 = -n, 9*n = -g + 4*n + z. What is the smallest common multiple of g and 60?
180
Let o(z) = 2*z**3 - 68*z**2 + 173*z - 12. Calculate the least common multiple of 408 and o(32).
2856
Suppose -28*g = -19*g - 1548. Suppose g*r - 168*r = 112. What is the lowest common multiple of 28 and r?
28
Calculate the common denominator of -2/495 and (-6 - 3888/(-616))/((-180)/(-224)).
495
Let r = 3205 - 6315/2. What is the common denominator of ((-14)/(-112))/(12/(-154)) and r?
48
Let z(u) = 19*u**2 + 50*u - 49. Let a(n) = -4*n + 13. Let d(t) = 3*t - 12. Let h(w) = 4*a(w) + 5*d(w). What is the smallest common multiple of z(1) and h(-16)?
40
Suppose -3*p = i + 4*i + 5, 2*i + 4*p = 12. Find the common denominator of -71/2 and ((-1)/i)/((-110)/(-3344)).
10
Let g(k) = -4*k**2 - 213*k + 131. Calculate the lowest common multiple of 180 and g(-53).
8280
Let x be (2 - (-1)/(-1))*(8 - 5). Suppose 3*m + 2*q - 73 = 4*q, -x*m + q + 68 = 0. What is the least common multiple of 28 and m?
84
Let s(q) = -44*q - 2. Let v be s(-1). Suppose -44*w + 154 = -v*w. Calculate the lowest common multiple of w and 4 + (-6)/(-6) - 2.
231
Let s = 14648394 - 395301935/27. Let x be (-5688)/(-5)*(-840)/126. Let u = x + s. Calculate the common denominator of 59/33 and u.
297
Let j be 3/3 + (13 - 4). Let v(h) = h**3 - 10*h**2 - h + 10. Let p be v(j). Find the common denominator of -97/14 and 0 + p - (-1455)/120.
56
Let s(t) = t**2 - 10*t + 7. Let h be s(7). Let g(w) = -2*w - 30. Let c be g(h). Calculate the least common multiple of ((-12)/(-15))/c + 114/10 and 2.
22
Calculate the least common multiple of 1 and 1824/28 - 2 - 7/49.
63
Let y(t) = 2*t**2 - 25*t + 1590. What is the lowest common multiple of 35 and y(0)?
11130
Let d = -4585619/276 - -16615. Calculate the common denominator of d and -74/69.
276
Let s = -202234881/1870 - -108147. Calculate the common denominator of -67/990 and s.
16830
Find the common denominator of (36/600)/(54/(-885)*-19) and -89/38.
1140
Let n = 15797/2190 - -19/219. What is the common denominator of 29/1270 and n?
1270
Suppose 26 = -5*o + 2*a, 14 = -2*o - 2*a - 2. Let c be (384/(-20))/o*20. Suppose -c*v + 120 = -60*v. What is the least common multiple of 18 and v?
90
Suppose -352 = 9*k + 242. What is the common denominator of (54/8)/((-30)/16) and (-1 - (0 - 2))/(k/75)?
110
Suppose 0 = 12497*g - 12514*g + 28152. What is the smallest common multiple of 24 and g?
1656
Let u = 2320 - 2280. What is the smallest common multiple of u and 80?
80
Let r be (-2)/12 - (-182)/84