et x(t) = 53*t**2 - 66*t - 570. What is the least common multiple of x(-7) and 95?
12445
Let j be (-2)/((2 + (-15)/9)*-3). Let v be 188777/91890 + (j - -2). Let t = v - -6/5105. What is the common denominator of t and 69/8?
72
Let d be (-9)/2*1/3*-2. Suppose 5*n - 85 = 3*c, -d*n + 5*c + 64 + 3 = 0. What is the lowest common multiple of 4 and n?
28
Let d = -149845 + 23825279/159. Let q = 1269/161 + -270/23. What is the common denominator of d and q?
1113
Suppose -2*b = b - 12. Suppose 0 = -u - 3*c + 12, 3*u - 2*c + 8 = 7*u. Suppose u = -k - 292 + 296. What is the smallest common multiple of k and b?
4
Let q(r) = -3*r**3 - 3*r**2 + 3*r + 1. Let g be q(2). Let y = g + 41. Calculate the least common multiple of 12 and ((-44)/y - -3)*-9.
12
Let d = 7558 + -71981/9. Let c = 435 + d. Calculate the common denominator of 18/(-24)*136/(-36) and c.
18
Suppose -2*k + 2 = -0*k. Let g(x) = 6*x + 41. Let q be g(-8). Let s = q + 9. Calculate the lowest common multiple of k and s.
2
Let y = 9 - 12. Let h be y/(-4) - (-8835)/4. Let k = -2170 + h. Find the common denominator of k and -53/3.
6
Suppose 5*o - 14 = -l, 5*o + 0*o = -2*l + 13. What is the lowest common multiple of 4/(-3) + 4/o + 8 and (1/(-2))/((-2)/28)?
56
Suppose -6729*z + 6751*z = 4664. What is the least common multiple of z and 22?
2332
Suppose 7*t - 3*t = 16. Calculate the lowest common multiple of t/4 - (-49)/7 and (3 - -14) + 2/(-1).
120
Let r = -126 - -123. What is the least common multiple of 6 and 4*(-44)/8*r?
66
Let b = -118 + 108. Let i be (-42)/(-12182)*580 - (b - -12). Let h = -334987/54819 + i. What is the common denominator of h and 4?
9
Suppose 0 = -40*q + 44*q + 192. Calculate the common denominator of ((-1)/(-2))/(q/63 + 0) and -73/44.
352
Let o(p) = 10*p + 80. Let f be o(-8). Let b(x) = 2*x + 7. What is the common denominator of b(-11) and f + 308/8 + -5?
2
What is the least common multiple of (-100)/(-700) + 11337/21 and 864?
4320
Suppose -42*u + 160 = -38*u. Suppose -4*z = -5*g + u, -5*g + 3*z - 40 = -10*g. What is the lowest common multiple of 22 and g?
88
Let z = -6979/529308 + 21/676. Find the common denominator of z and 41/66.
17226
Let f = 14917 + -507217/34. Let o(d) = -d**2 + 3*d - 6. Let a be o(6). Calculate the common denominator of f and (-194)/4*(-3)/a.
272
Calculate the common denominator of -31/2534 and ((-440)/15)/22 + (-2296)/96.
5068
Let n(r) = 418*r - 1530. Calculate the least common multiple of n(4) and 9.
1278
Calculate the common denominator of 20/(-28) + (-37681)/(-30184) and 37/66.
264
Let r = 541757 + -541748. Suppose 16 = 2*b + 3*n, 5 = 3*n - 7. Calculate the lowest common multiple of b and r.
18
Suppose -22*v + 17*v + 4*b = -208, 4*v + b = 179. What is the common denominator of (-72)/(-120)*v/(-18) and 149/12?
60
Let r = 6395 - -2981. What is the smallest common multiple of r and 4?
9376
Let d = 20978761/168 + -124873. What is the common denominator of -69/280 and d?
840
Let w(g) = -g**2 + 16*g + 45. Let c be w(13). Let q be (-24)/c - 126842/336*22. Let b = q - -8295. Calculate the common denominator of b and 22/9.
36
Suppose 9*i - 10*i = -10*i. Suppose 9*u - 14*u + 215 = i. What is the smallest common multiple of u and 5?
215
Let w = -160101/4 + 23054617/576. What is the common denominator of w and (-868)/62*(-22)/(-8)?
576
Let d = -20 + 10. Let v = -872 - -10405/12. What is the common denominator of d and v?
12
Let f = 189 + -169. Let u = 6 - 1. Calculate the smallest common multiple of u and f.
20
Let b = 17207/3680 + -141/32. Calculate the common denominator of -39/253 and b.
1265
Let u = -3625591/28 - -129512. Let l = -34/7 + u. Let d = -65/22 - 6/11. Find the common denominator of l and d.
4
Let r = -964 - -1009. Suppose 0 = 46*h - r*h - 27. Calculate the lowest common multiple of 6 and h.
54
Suppose 0 = 5*t - 20, -5*a + 6*a = -2*t + 16. Let i(j) = -j**3 - 6*j**2 - 10*j - 16. What is the smallest common multiple of i(-6) and a?
88
Suppose 5*c - 7 = -12. Let k = -4/15 + 53/30. What is the common denominator of c/(10/(-94))*-1 and k?
10
Let w be 20/70*(-14)/(-2)*-5. What is the common denominator of w/((-4500)/(-3027)) - -6 and 31/9?
450
Let w = 152/45 + -4523/180. Let h = 64 - 104. Calculate the common denominator of w and 1/((-2)/26)*h/(-110).
44
Let b = -3635 + 3655. Let o = -17 - -35. Calculate the smallest common multiple of o and b.
180
Let v = -10566/17 + 445489/714. Find the common denominator of v and 173/126.
126
Let y be (-1 - 94/(-18)) + (-8)/36. Suppose -4*w - y*z = -2136, -12*z - 522 = -w - 10*z. Calculate the lowest common multiple of 6 and w.
1590
Suppose -12*u = -14*u. Suppose u = 2*a + g + 3*g + 78, -15 = a - 4*g. Let v = -2/148133 + 14369049/10961842. What is the common denominator of a and v?
74
Calculate the common denominator of 8/89 and (-18)/(-1080)*6 + 2 + 431/(-410).
3649
Let g(w) = 7*w - 31. Let r be g(7). Suppose j - r*j = -561. Let n(x) = -6*x - 15. Calculate the smallest common multiple of j and n(-6).
231
Suppose -3*z + 3*r = 492, 3*r = 5*z + r + 832. Let h = z - -230. What is the lowest common multiple of 22 and h?
682
Let o be -3*(-4)/60 - 24/20. Let p be (1 + o - -3) + 111*-1. What is the common denominator of (226/p)/(-4 - (-65)/15) and 85/18?
18
Suppose -5*m + 4*f = -2794, 3*m - 16*f = -13*f + 1674. What is the smallest common multiple of ((-8)/3 + 2)*-15 and m?
2810
Suppose 0 = 19*s + 131 - 359. What is the lowest common multiple of (-6)/s*28/(-2) and 3?
21
Suppose 4*b = -12 - 4. Find the common denominator of b*(-90)/(-528) - 4 and 41/22.
22
Suppose 9*g = -31 - 122. Suppose -35 = 3*i + 2*j + 3*j, -12 = 3*j. Let q = i - g. What is the least common multiple of 20 and q?
60
Let j be 34*2*(2 - (-17252)/(-108)). Let f = 10728 + j. Find the common denominator of f and -1 - (-4 - (-148)/66).
297
Let t(b) = -26*b + 8 - 69 - 55 + 0. What is the smallest common multiple of t(-5) and 156?
1092
Suppose -13*z - 80 = -8*z. What is the common denominator of (-1218)/210*2/z and 117/40?
40
Let t = 636985 + -666923245/1047. Find the common denominator of 37/144 and t.
50256
Let s be 3 - 3/((-30)/(-2269)). Let y = s + 223. What is the common denominator of y and 4/(-46) - 407025/20700?
20
Suppose 3 = 7*v - 25. Suppose 4 = -v*g - m, -3*g - m = 1 + 1. Find the common denominator of g/(-17) - 2938/408 - 2 and -77/50.
300
Let y = 90727/10 - 9080. Calculate the common denominator of y and (2 - 0)*(6 - (-1953)/(-280)).
20
Let l = 1176721/58 - 20290. What is the common denominator of l and 19/522?
522
Let t be ((-30)/(-5) + -7)*-88. Let a = 10 + t. Calculate the least common multiple of 154 and a.
1078
Suppose 2*m - 2*m = -3*h, -5*h = -4*m. Calculate the lowest common multiple of m + -2 - (-35)/5 and 10.
10
Calculate the common denominator of (-9 - 288/(-18)) + 1076/(-154) and 41/8.
616
Let a = 124519/90300 + -407/258. What is the common denominator of 19/180 and a?
6300
Let l(y) = 4*y**2 - 12*y - 4. Let o be l(4). Find the common denominator of -47/27 and (o/(-54)*3)/((-2)/(-76)).
27
Calculate the common denominator of 20001/(-3616)*((-4)/(-87))/(-1) and 52/319.
2552
Let b = 39285 - 38350. Calculate the least common multiple of 1496 and b.
7480
Let n = -22 + 21. Let a be (-17 - n)*(3 - 8463/14). Let m = 173297/18 - a. Calculate the common denominator of -43/2 and m.
18
Let i(b) = 8*b**3 + b - 1. Let l be i(1). Calculate the common denominator of (-2)/l + 267/(-24) and (178/(-22))/((-5104)/3509).
16
Find the common denominator of -26/2163 and (-42)/(-1438395)*-28970 - 6/(-7).
41097
Let b = 361 + -507. Calculate the common denominator of -37/20 and b/(-24)*((-20)/(-15) + -1).
180
Let a = 18947 - 454601/24. Find the common denominator of ((-6)/84)/((-19)/(94696/480)) and a.
120
Let b = -2166121/240 + 9025. Find the common denominator of 4/27 and b.
2160
Let k = -416961931/9094476 - 1/395412. Let d = 8/23 + k. Find the common denominator of d and 69/112.
112
Let r(z) = -2*z**2 + 9*z + 8. Let q be r(5). Let x(y) = -2*y**3 + 2*y**2 + 6. Let p be x(q). Let h = p - -35. Calculate the smallest common multiple of h and 9.
45
Let i be -12*1/(-12)*4. Calculate the common denominator of (i/12)/(15*(-130)/(-1485)) and -35/117.
1170
Let o(s) = 184*s**2 + 364*s - 733. What is the least common multiple of o(2) and 119?
5117
Let g = -109171/14 - -7793