8780169. Let k = p - 11/51. Calculate the common denominator of k and -71/44.
44
Let x(u) = -10577*u - 200918. Suppose 0 = -4*j, -2*j - 160 = -4*i - 0*i. What is the least common multiple of x(-19) and i?
360
Find the common denominator of -117/28 and (-6480)/10752*35/(-510).
7616
Suppose -4*b = -b + 2*l + 70, 5*l + 10 = 0. Calculate the lowest common multiple of (33/(-4))/(3/(b - 2)) and 30.
330
Let l = 1/3289 + 2983/1006434. Find the common denominator of l and 59/144.
2448
Let x(t) = t**3 + t**2 + t + 2. Suppose -215*z + 198*z = -340. Calculate the least common multiple of x(2) and z.
80
Let p(f) = 143*f + 1591. Let t = -43 + 83. Suppose 5*k + 0*k - t = -a, 0 = 4*k - 8. Calculate the lowest common multiple of a and p(-11).
90
Let d be (3/(-3) - -1) + -3. What is the common denominator of (d/(25 - -5))/(1/(-3)) and -95/12?
60
Suppose 3*m - 77 = 5*k, 2*m + 2*m - 95 = -k. Suppose -3*u + 6 = -m. Suppose -13*z + 99 = -u*z. What is the least common multiple of z and 18?
198
Calculate the common denominator of (-27)/2*17/((-18632)/16) and 3 - (2 - (-140)/25).
685
Let y = 25298593/558 - 45338. What is the common denominator of 71/310 and y?
2790
Suppose -198*t = -199*t - 16. Let n(h) = -h**2 - 20*h - 28. What is the least common multiple of n(t) and 4?
36
Let a = 18003/61504 - -4/961. Calculate the common denominator of a and 41/8.
64
Let v be (-5)/(-1) + (-578 - 3). Calculate the common denominator of (5 - v/135)*1/(-2) and -49/57.
570
Let s(l) = -84*l + 593. What is the smallest common multiple of (-1 - (2 + -2)) + 247 and s(7)?
1230
What is the common denominator of -139/120 and 7 - ((-6831)/28)/(-33)?
840
Let w = 33084042855052846397/1512510580575486 - -3641/93330283881. Let f = w + -8958/2701. Let y = f - 21863. Calculate the common denominator of y and -83/24.
72
Find the common denominator of 1/12 and (-2150)/3216 + 126/189.
1608
What is the least common multiple of 49*(4 - 7)*20/(-6) and 630?
4410
Let g = 98933/392 - 2013/8. Calculate the common denominator of ((-3)/42)/(5/(-215)) and g.
98
Suppose 2*d + n - 619 = 0, 3*d - 5*n - 767 = 194. Calculate the smallest common multiple of d and 16.
624
Let k = 5617 + -5607. What is the smallest common multiple of 1238 and k?
6190
Suppose 3*r = u + 2*r - 252, 5*u + 3*r - 1252 = 0. Suppose u*h - 248*h = 48. Calculate the least common multiple of h and 114.
912
Let b be (-24)/(-84) + 1/((-3444)/1011). Let l = b - -20171/10332. Find the common denominator of -83/22 and l.
198
Let p = -189 - -188. Calculate the smallest common multiple of (-33)/6*2/p and 2/8 + 11/4.
33
Let l(h) = -h**3 + 3*h**2 - 3*h - 2. Let p be l(2). Let t(o) = 14*o + 80. Calculate the least common multiple of t(p) and 2.
24
Let v = -355/106 + -42302/53. Suppose -1530 = 2*q + j, 0 = -18*q + 21*q + 5*j + 2309. Let x = q - v. What is the common denominator of 5 and x?
2
Suppose -3*r + 12*r = 27. Calculate the lowest common multiple of 14 and (-65)/(-1) + 9/r.
476
Let x(g) = 181*g + 3. Calculate the smallest common multiple of 1656 and x(1).
1656
Suppose -15*f + 12 = -17*f. Calculate the lowest common multiple of (-729)/(-36)*(-8)/f and 54.
54
Let r(i) = 7*i + 601. What is the least common multiple of 7 and r(-72)?
679
Suppose 2*h - 81 = 31. Let u = -1035 + 1026. Calculate the least common multiple of 2 and h/(-252) - (-1)/(u/(-101)).
22
What is the common denominator of -157/450 and (-22066)/2475 - -9 - (-1)/(-2)?
450
What is the common denominator of -101/10 and 4/986*7049/1484?
4930
Find the common denominator of -2/149 and 1377/34 + -2 - (-28)/(-7).
298
Find the common denominator of ((-1)/36)/(15/(-6)*448/(-122640)) and 6/21 - (-782)/(-42).
24
Let u(t) = -t**2 - t - 1101. Let h be u(0). Find the common denominator of 45/(-6) - -2 - 0 and h/(-26) - (-6 + (-456)/(-78)).
2
Let y = 5309492/117 - 45380. Find the common denominator of y and -19/4927.
44343
Suppose -2 = 3*h - 38. What is the common denominator of (2 - 0)*1/h and (-76)/208*-2 - 0?
78
Suppose 233 = 29*g - 28. What is the common denominator of 128/7560 - g/(-45) and 13/11?
2079
Suppose 0 = 5*d - 2*z - z - 3028, -d + 596 = -3*z. Let l = -602 + d. What is the least common multiple of 1108 and l?
3324
Let x = -174 + 348. Let u be 2 - (0 - x/7). Let v = 169/42 - u. Calculate the common denominator of v and 37/4.
12
Suppose 5*v = 20*x - 22*x + 62, -8 = -2*v - 5*x. Calculate the lowest common multiple of 644 and v.
644
Suppose 352*j - 5*z - 6551 = 348*j, -5*j + 8240 = 4*z. Calculate the lowest common multiple of 1644 and j.
1644
Suppose 0 = -20*t - 2*t + 44. Suppose 0 = -4*w + w - 3*d + 54, 3*w - t*d - 74 = 0. Calculate the smallest common multiple of 296 and w.
3256
Suppose b = -5*b + 18. Let i(t) = t**3 - t**2 - 12*t + 25. Calculate the least common multiple of i(b) and 266.
266
Let l = 37151834/43 + -286551174238/331659. Let i = l + -1/2571. Calculate the common denominator of i and -29/204.
612
Suppose 0 = -12*p - 5*p - 10472. Find the common denominator of (-3718)/p + 4*-1 and 143/36.
252
Let y(z) = 2*z**2 - 25*z + 48. Let r be y(21). Let x = r + -396. What is the least common multiple of 90 and x?
90
Suppose 0 = 14*m + 72 - 2. What is the smallest common multiple of 70 and (-12)/(-9)*((-460)/(-8) + m)?
70
Let k(s) be the second derivative of 23*s**4/4 - s**3/3 + s**2 + 10*s. Let h be k(2). Find the common denominator of -77/4 and (2 - 5 - 0) + h/36.
36
Let m = 5/42 - 31/14. Let c = 1945/111 + -54023/3145. What is the common denominator of c and m?
1785
Suppose -49*b + 190 = -132*b + 1435. Find the common denominator of b and 28/1413.
1413
Let j = -53606151/577 - -92905. Find the common denominator of j and 15/11.
6347
What is the lowest common multiple of (-273 + 478)*3/5 and 1189?
3567
Suppose -r + 3*d = -4*r + 258, -2*d = 5*r - 439. Suppose 0 = 3*f - 5*x - 142, r = 4*f - x - 106. Calculate the lowest common multiple of 42 and f.
294
Let u = 114887/3686280 + -20/1807. Calculate the common denominator of -16/2805 and u.
22440
Let u(n) = n**2 + 11*n - 51. What is the smallest common multiple of u(-20) and 36?
1548
Let c = -29906 + 29918. Calculate the lowest common multiple of c and 300.
300
Suppose -196*d = -164*d - 1920. Calculate the least common multiple of d and 30.
60
Suppose 0 = 3*g - 3 - 0. Suppose -95 = -22*q + 37. What is the lowest common multiple of 2/g - 930/(-15) and q?
192
Let l(n) = 2*n**2 + 94*n + 187. Calculate the least common multiple of l(-54) and 13.
12259
Let n = -7376 - -7548. Calculate the lowest common multiple of n and 86.
172
Calculate the common denominator of -42/485 and (-38)/(-80) - (46/4 + -11).
3880
Calculate the smallest common multiple of ((-8)/10)/((-82)/(-820)) - -14 and 914.
2742
Suppose 0 = -8*m + 8203 + 1093. What is the lowest common multiple of 14 and m?
1162
Let x be -10 - (-14 + 1) - (-2004089)/306. Let p = x + -58982/9. Calculate the common denominator of 125/6 and p.
102
Let j(t) = 6*t - 6. Let m be j(2). Suppose -9*h + 60 = m*h. Suppose -a + 54 + 50 = 4*q, -h*a = -3*q + 97. What is the lowest common multiple of 21 and q?
189
Suppose -27 = 2*f - 29. What is the smallest common multiple of 3 and f + -4 + 146 + 3 + -1?
435
Let w be ((-48)/(-20))/((-14)/(-35)). Let b(j) = -12*j + 110. Calculate the least common multiple of b(w) and 11.
418
What is the common denominator of 2/(42/6 + -1) - (-2020)/(-6052) and 53/153?
13617
Let o be -8*(3 - 2)*(-3 + 2). Calculate the smallest common multiple of 40 and -8*(o - 2 - 12).
240
Let a(v) = 12*v + 119. Let j be a(-9). Suppose -j*c = -z - 9*c + 40, -z + 5*c = -46. What is the least common multiple of z and 12?
36
Let u = -602 - -606. Calculate the common denominator of 137/12 and ((-237)/(-108))/(2/(u/1)).
36
Suppose 1181 - 61 = 7*r. Calculate the lowest common multiple of 240 and r.
480
Find the common denominator of -155/66 and -170 - -157 - 4798/(-374).
1122
Let s = -304/83 - -24685/5312. Let n = -251819/1040520 + 3/8671. What is the common denominator of s and n?
960
Calculate the common denominator of -101/760 and (11/132)/((-5)/45) - 20151/(-30780).
6840
Suppose 0 = 138*z - 141*z + 1011. Let y = 629 - z. What is the smallest common multiple of 2 and y?
292
Suppose -5*j + 589 = b, 5*j = -3*b - 0*b + 597. Suppose -5*u + 33 = -j. What is the smallest common multiple of (u + 6)*(-2)/(-3