76
Let k(y) = y**2 + 3*y + 1. Let l be k(-3). Suppose 0 = -3*s + 2*w - l + 21, -w = -5. Let a = -6986 - -6994. What is the least common multiple of a and s?
40
Find the common denominator of 19/6 and 140/2310 + 15/132.
132
Suppose -5*i = -y + 19, 4*y + 5*i = i + 100. Suppose -3*w - y = 4*k, 4*w + 27 + 4 = -5*k. What is the common denominator of (-6)/w*447/(-27) - 0 and -3/2?
6
Let c be ((-2)/9 - 0) + (-1421672)/(-630). Let d = -2248 + c. What is the common denominator of -49/4 and d?
20
Calculate the least common multiple of 3 - (5 - ((-104)/(-6) - 2/(-3))) and 51.
816
Let g = -40/449807 - -45835547/4554745682. What is the common denominator of -99/20 and g?
101260
Let j = -71 - -134. What is the smallest common multiple of (3480/(-90))/(-58) + 200/15 and j?
126
Let h be (-6)/(-36)*-9*(-8)/(-6). Calculate the least common multiple of 30 and -4 - -18*h/(-4).
30
Suppose 4 + 28 = 4*a. What is the least common multiple of a and (4/(-3) - 7/42)*-20?
120
Suppose 4*o = -5347 - 10201. Let i = -213746/55 - o. What is the common denominator of 111/44 and i?
220
Suppose -3*z + 4*z + 5*g = -34, z = g - 22. Let y = -1478/15 - -541/5. What is the common denominator of (-5)/z*6/15 and y?
12
Let h = -1429 - -8489/6. Let z = -24609049/18 + 1369985. Let i = z + -2818. Calculate the common denominator of h and i.
18
Let y = -2481 - -3724. What is the lowest common multiple of y and 226?
2486
Suppose 0 = -6*a + 800 - 200. Find the common denominator of -3 + (-5)/(a/(-202)) and 13/9.
90
Let y = 3907 - 3763. What is the lowest common multiple of 4 and y?
144
Suppose -o + 14 = -3*g, -5*o - g - g = -36. Suppose -5*l = -2*r + 596, -r + 313 = 9*l - 4*l. Let m = 319 - r. What is the lowest common multiple of m and o?
16
Calculate the common denominator of 0 + -4 + ((-341)/(-121) - 2) and 19/226.
2486
Let a be (-12 - (-100)/8)*6. Let u = -5 + 7. Suppose u*r + 4*x - a*x = 59, 64 = 2*r - 4*x. Calculate the least common multiple of r and 6.
30
Suppose -23*v + 16*v = -462. Let c(j) = -j**3 + 8*j**2 - 9*j + 9. Calculate the lowest common multiple of c(6) and v.
594
Suppose 100*m - 95*m = 120. Calculate the lowest common multiple of m/(-9)*((-20 - -1) + 4) and 20.
40
Let s = 8604 + -8588. What is the least common multiple of (3/(-2))/(21/(-2492)) and s?
1424
Let q = 3745847/5885 - -381/1070. Let u = q - 637. Calculate the common denominator of u and ((-1898)/1095)/(-4 + (-296)/(-70)).
132
Let j(i) = i**3 + 21*i**2 + 13*i - 39. Suppose 38 = 5*q + 3. Calculate the lowest common multiple of j(-2) and q.
77
Let u = -4535 - -4791. What is the smallest common multiple of 4 and u?
256
Let x = -977657 - -1134082233/1160. Calculate the common denominator of x and 133/360.
10440
Let l(k) = -68*k**3 + 16*k**2 + 82*k - 36. Calculate the least common multiple of 10 and l(-4).
21220
Suppose 2557 = 640*h - 2563. Let s be (-2 + 26)*-1 + 0. Calculate the smallest common multiple of h and 2/(-5) + s/(-10).
8
Let p be 155/(-124) - 20403/4. Let g = p + 137818/27. Find the common denominator of g and 91/6.
54
Let f be 260769/(-1027620) - (10/(-8))/5. Let t = f + -1/495. What is the common denominator of 3/2 and t?
346
Let o(j) = 99*j + 990. What is the least common multiple of 198 and o(-6)?
396
Let o be 0 + 9 - (-1 + -2). Suppose 3*k + 0 = -o. What is the common denominator of -1/10 and (96/54 + -2)*35/k?
90
Let m be 36/19 + (-44)/(-418). Suppose -m*g = 3*z - 39 - 53, -z = 3*g - 145. Calculate the smallest common multiple of g and 35.
245
Suppose 4*s + 2*b = 110, 74*s - 73*s + 2*b = 20. Calculate the least common multiple of 370 and s.
1110
Let g(d) = d**2 - 8*d + 13. Let u(m) = -m**2 + 4*m - 3. Let o be u(1). Suppose o = -7*f + 77 - 28. Calculate the smallest common multiple of g(f) and 16.
48
Suppose 0 = 2*z - 10, -141 = -s - 5*z + 30. Calculate the lowest common multiple of s and 56.
4088
Let p = 74 - 179. Calculate the common denominator of -83/2 and (-3)/1 + ((-381)/p - 2).
70
Let t be (232/40 - 6)/((-8)/20530). Let u = t - 1069/2. Calculate the common denominator of ((-42)/(-80))/((-2)/24) and u.
20
Let u = 891142877777/7267549464 - 2/504690935. Let o = u + -967/8. Calculate the common denominator of 59/10 and o.
90
Let v = -413/12 - -1751/60. Calculate the common denominator of 83/156 and v.
780
Suppose -3*t + a + 3*a = 8, -4*a = 2*t - 8. Suppose t = -3*y - 9, 2*i - 100 = -y + 5*y. Calculate the least common multiple of i and 24.
264
Suppose 0*n = -2*n - 2*n. Suppose n = -5*q - j + 25, 0*j + 3 = -2*q - 3*j. Calculate the least common multiple of q and (-94)/(-4) - 1*3/(-6).
24
Let y(h) = 2*h**3 - 4*h**2 + 8*h - 5. Let s be y(3). Calculate the common denominator of (s/3 + 2)*69/506 and 89/94.
1034
Suppose -3*l + 1388 = 4*b, -l - 16 = b - 364. Calculate the smallest common multiple of b and 80.
3440
Suppose -3*c = 2*o - 3*o + 17, -4*o + 4*c + 92 = 0. Let b = -79 - -71. What is the common denominator of (-23)/(-9) - (24/9)/b and o?
9
Find the common denominator of ((-245)/(-84))/7*(-318)/(-40) and 63/1058.
8464
Suppose 8*k - 2 + 18 = 0. Calculate the common denominator of (-2)/(-12) + (-3 - (-1 + k)) and (1358/60)/7 + -1.
30
Let u = 2090 + -75265/36. Let l = 2/2395 - 31183/57480. Calculate the common denominator of u and l.
72
Let y be 408/9 + (-12)/(-8) + 0. Let q = 42 - y. Find the common denominator of q and (-4)/4 + (-226)/12.
6
Let r = -36/41 - -1267/369. Let h(a) = 17*a**2 - 2*a - 2. Let u be h(-1). Find the common denominator of r and (157/(-6) - 1) + u + -15.
18
Suppose 6*p - b = 5*p + 7, 3*b + 28 = 4*p. Find the common denominator of -55/28 and 499/(-840) - (p + 51/(-7)).
840
Let n(x) = -2*x + 34. Let s be n(15). Calculate the lowest common multiple of 77 and 1/s - 668/(-16).
462
Let w = 23139/10 - 2321. Let t = -19012369/132 - -1537142/11. Let f = t + 4299. Find the common denominator of f and w.
60
Let r(v) = -38*v + 83. Let q be r(14). Let u = q + 479. Calculate the smallest common multiple of 14 and u.
210
Suppose 4*h - 1 = -2*q + 3, -3*q + 5*h + 39 = 0. Suppose q*c - 63 = 33. What is the smallest common multiple of 32 and c?
96
Let l = 1641025531/3978 + -7000062/17. Let a = l - 6850/9. Calculate the common denominator of a and (-2)/3 - 1292/240.
260
Let u = 266 + -148. Suppose -18 = -4*m - 2*s, 15 = 3*m - 4*s + 7. What is the smallest common multiple of u and m?
236
Let q = -3042 - -3086. Calculate the common denominator of 39/140 and q.
140
Suppose -2 = y + 3*p, -p + 11 = -3*y - 5*p. What is the smallest common multiple of ((-1)/2)/(2/(-16)) and ((-14)/y + (-2)/(-10))*3?
36
Let l be (-508561787108938)/(-164580) + (-9)/15. Let t = l + -3090058255. Let n = t - 14/633. Find the common denominator of n and 3/16.
208
Let n = -12330 + 12379. What is the lowest common multiple of n and 90?
4410
Let r = -6719/2849 - -1/814. Calculate the common denominator of -65/8642 and r.
60494
Let l(t) = t**2 - 22*t + 26. Let k be l(21). Suppose -q = -5*i + k, -4 = -q + 1. Calculate the smallest common multiple of i and 19.
38
Let b = -7331/280 + 131/5. Let t = 314057/140 + -11224/5. Calculate the common denominator of b and t.
56
Suppose 0 = s + 3*s - 752. Suppose 0 = 4*z - 2*x - s, 2*x - 139 = -3*z + 9. What is the smallest common multiple of z and 21 + 70/42*(-7 - -4)?
48
Let b = -40 - -43. Suppose -k - b = -22. Suppose -m - k = -3*m + t, -4*m = t - 29. What is the lowest common multiple of m and 12?
24
Let x = 21 - 22. What is the common denominator of 254/252 + 2/(-54)*6 and 9/49*x/(-6)?
98
Let m = 191700/49 + -3912. Let j = m + -925/1176. Find the common denominator of j and 1/5 - 1068/315.
168
Calculate the common denominator of -88/45 and ((-185493)/6490)/(-33) - 1.
5310
Let s = -4/403 - 13674/2821. Let h = 5461 - 65479/12. Let i = h + 193/84. Calculate the common denominator of s and i.
7
Let c be 6/(-15) + 44/10. Let d be (-1695903)/572 - (-1)/c. Let h = 2962 + d. Find the common denominator of -95/4 and h.
52
Suppose 6*q - 3371 - 16531 = -25*q. What is the lowest common multiple of 1177 and q?
7062
Let r(b) = -2*b**3 + 18*b**2 - 8*b + 1. Let d be r(7). Suppose 21 = 8*s + d. Find the common denominator of (-2)/6*(-549)/s and 83/26.
130
Suppose 11*f - 21*f = 75820. Let l = 121381/16 + f. Find the common denominator of 43/88 and l.
176
Let n = 4541/504 + 29/252. Calculate the common de