se v*t - 5*t = 2*z - 31, -2*t = -2*z - 4. Suppose -6*j + 21 - z = 0. Calculate the least common multiple of j and 31.
93
Let n(s) = -s**2 - 38. Let b(d) = -d + 1. Let w(z) = 6*b(z) + n(z). Let p be w(-8). Find the common denominator of 5/32 and (-5)/(5/(-2)) - (-50)/p.
96
What is the least common multiple of 588 - 2 - (1/1)/((-17)/(-102)) and 290?
580
Suppose -2*w + 264 = 4*s, 22*w - 21*w = -5*s + 330. What is the smallest common multiple of s and 4?
132
Calculate the lowest common multiple of 605 and 1/((-51)/34) - 14/(-3) - -480.
2420
Let p be -2*(-725)/30 + 1/(-3). Suppose 0 = -2*x - 0*x + p. Calculate the least common multiple of 3 and x.
24
Let f = 186 - 42. Suppose 13*x = 5*x + f. Calculate the common denominator of 101/30 and x/72 + 37/(-8).
120
Let c = 5514 + -231613/42. What is the common denominator of (-1071)/196*2 + (3 - 0) and c?
42
Let x(b) = 0 + 7 - 3*b**3 - 12*b - 9 + 9 + 23*b**2 + 2*b. What is the least common multiple of x(7) and 5?
35
Find the common denominator of 22/220*286/24 and 59/2.
120
Let s = -29911/12 + 2498. Find the common denominator of s and 9/34.
204
Suppose -12*z - 53 = 42 + 229. Suppose p - 2*w - 33 = 2*p, -5*w = 0. What is the common denominator of p/(-2)*8/z and 1/9?
9
Let x be 416/(-40) + (-2)/(-5). Suppose 4*r - 5*o - 76 = 0, 0 = 4*r + 2*o - 3*o - 60. Calculate the lowest common multiple of (-4)/x*(0 - -30) and r.
84
Suppose -2*l - 15 = -2*h - 7, -l + 2 = 5*h. Let u be 213*((-30)/(-4) + h/(-2)). Calculate the common denominator of -32/35 and 1 - (4/(-2) + u/385).
385
Let v = 94091/2 - 47030. Calculate the common denominator of v and (-3)/(-6) - (-98)/8.
4
Let h = 10/539324759 + -3512637795785611/32359485540. Let n = 108553 + h. What is the common denominator of -35/18 and n?
180
Let n be (-30)/(-8) - (3 + 13/(-4)). Suppose 2*c + 2*w - 2 - 8 = 0, 4*c + n = 4*w. Calculate the lowest common multiple of c and 22.
22
Let f = -46840 + 31570251/674. What is the common denominator of f and 57/44?
14828
Suppose 2*j - 31 = 5*c, -3*c - 31 = -34. Suppose 2*y + 2*h = 8, -7 = -y - 5*h + 5. What is the lowest common multiple of y and j?
18
Let s be 1276/290 + 1/(5/(-2)). Suppose s*b - a + 7460 = -1188, 0 = 2*b - 5*a + 4342. Let y = b - -8705/4. What is the common denominator of y and -13/5?
20
Let j(x) = 2*x + 1. Let m be j(-1). Let b = 2900221/60 - 48334. Calculate the common denominator of b and m - ((-258)/(-44))/3.
660
Let o be (16/(-24))/(2120/9678). Let p = 27/202 - 11531/10706. Let g = p - o. Calculate the common denominator of -85/6 and g.
30
Let d = -165008/721187 - 1/8689. Let a be ((-112)/(-3696))/((-83)/6520). Let y = a - d. Calculate the common denominator of -23/9 and y.
99
Let w = 78576493/4366218010 + -1/5670413. Find the common denominator of w and 137/5390.
5390
Let c = 12 + -82. Let m = -60 - c. What is the smallest common multiple of 20 and m?
20
Let j = 1103629986858741/494120 - 15589043846/37059. Let c = 2233131748 - j. Let b = -26161 + c. Calculate the common denominator of 55/4 and b.
120
Let g = -289 - -340. What is the least common multiple of 6 and ((-126)/(-15))/(2 + g/(-30))?
84
Suppose -116*o = -107*o - 756. Calculate the smallest common multiple of 36 and o.
252
Suppose 4*z + 102 - 122 = 0. Suppose 3*i - 108 = -4*r, -2*i + z*r = r - 72. What is the smallest common multiple of 36 and i?
36
Let f(l) = 40*l**2 - 363*l + 7. Let a be f(9). Let x(c) = -5*c - 6. Let q be x(-4). What is the common denominator of q*((-24)/a)/3 and -51/8?
40
Let n = 1376481/245 + -4333081513/771260. Let t = -2/787 - n. What is the common denominator of t and 75/56?
56
Let f = -322 - 105. Let s be f*(0 + 4/(-24)). Let k = s - 2755/42. Find the common denominator of k and -10/17.
119
Suppose 8*m = m - 4018. Let a = -554 - m. What is the lowest common multiple of 30 and a?
60
Suppose -5*f - 29 + 94 = -5*s, -4*f - 16 = 0. Let q be (1 - s/(-12))*(-1428)/1400. Let k = q + -1397/40. Calculate the common denominator of k and -49/44.
44
Let w(a) = -4*a**3 - 8*a**2 + 30*a + 164. Calculate the least common multiple of 72 and w(-6).
5040
Suppose 0 = 3*c - 5 - 13. Let r(d) = 7*d. Let m(a) = -6*a. Let l(y) = -6*m(y) - 5*r(y). What is the smallest common multiple of l(c) and 42?
42
Let h = 116 - 461/4. Let z = -3205853/76 + 42183. Calculate the common denominator of h and z.
76
Let n(h) = 5*h + 8. Let t = 8999 + -8903. Calculate the least common multiple of n(4) and t.
672
Suppose 5*u - 10 = 5*c - 0*c, -26 = -4*u - 2*c. Suppose u*p - 26 = d + 60, -3*d = 3*p - 66. Calculate the smallest common multiple of p and 24.
72
Calculate the smallest common multiple of 396 and -72*(127/(-508) + -7*1).
11484
Suppose 0 = -2*o - 0*o + 32. Suppose -5*a - y = 677, -5*a - 667 - 6 = -y. Calculate the common denominator of 36/a*3/o and -29/2.
20
Let i(p) = -252*p - 512. What is the lowest common multiple of i(-4) and 176?
5456
What is the common denominator of 115/18 and (-6693982)/5024280 + 14/10?
5364
Let g be 0 + -4 + (4 - 6/3564). Let p = g + 101/1188. Find the common denominator of p and 259/(-48) - (-6)/(-9).
48
Suppose 38 = 2*m - 2*t, -2*t = 4*m + 2*t - 76. Let a(r) = 2*r**2 - 40*r + 18. Let y be a(m). What is the lowest common multiple of (-2)/8 + (-7 - 345/y) and 2?
10
Suppose 4*a = -y + 814, 0 = y - 2*a - 169 - 645. Find the common denominator of y/(-3145)*10/(-3) and -62/51.
51
Let i be 1 - ((-61521)/(-27) + -1) - 3. Let f = i + 2283. What is the common denominator of f and 1420/(-15)*(-4)/(-32)?
18
Let j = 4076 - 85654/21. Let w = -6073 - -18284/3. Calculate the common denominator of w and j.
21
Let q(a) = 3*a - 1. Suppose 0 = -6*m - 2370 + 2694. Calculate the least common multiple of m and q(5).
378
Suppose -3*t = 0, 25691 = 4*c + 2*t - 20285. Let d = c + -8071. Let j = 253279/74 - d. What is the common denominator of j and 123/20?
740
Calculate the common denominator of 149/240 and -35 - -34 - 14/108*39.
720
What is the least common multiple of 800 and ((-44)/(-10))/(285/57000)?
8800
Let l(u) = -2*u**3 - 40*u**2 + 88*u + 39. What is the smallest common multiple of l(-22) and 416?
1248
Suppose -4*m + 9*m = 240. Let o(a) = -a**3 - 11*a**2 + 52*a + 144. Calculate the lowest common multiple of m and o(-2).
48
Suppose -99*q + 39053 + 43532 = -24137. What is the least common multiple of q and 20?
10780
Let x = 399745/22 + -18167. What is the common denominator of x and -107/192?
2112
Suppose -11*t + 2*s + 316 = t, 5*t - 5*s - 140 = 0. What is the least common multiple of 432 and t?
5616
Let y(v) = 9*v**2 - 6*v + 51. Calculate the lowest common multiple of 605 and y(9).
3630
Suppose 4*g + 2*v = 3*g + 42, -3*g + 4*v = -136. Let z = -4089 + 4101. What is the least common multiple of z and g?
132
Suppose -3*y + 39 = 5*b, -27 = -2*b - 8*y + 3*y. Suppose -170 = -h + 6*h. Let w = h + 47. Calculate the least common multiple of b and w.
78
Let q be 134*((-3)/(-4) - (-10)/8). Let f be q*(-39)/(-3 + 6) - -4. Let y = f - -21001/6. Calculate the common denominator of y and -43/6.
6
Let o be (1365/(-42))/((-10)/24). Find the common denominator of 47/4 and o/24 - -1 - -2.
4
Suppose -46*t - 14 = -32*t - 16*t. What is the smallest common multiple of t and 43?
301
Suppose 3*a + 12 = -3*c + 5*a, -4*a = -c - 14. Find the common denominator of (-875)/(-4620) - c/8 and 31/6.
66
Let v = 320941/22 - 14590. Let c = -1/21777 - 249219/145180. Calculate the common denominator of v and c.
660
Let i = -65 + 389/6. Let d = 12 - 84. Calculate the common denominator of i and 20/(-90) + 10/d*-97.
12
Let p = -1791054047/440 - -44714796/11. Let g = 3606 - -1988. Let u = p + g. What is the common denominator of u and -59/16?
80
Suppose 0 = -5*d + 5*s + 6430, -5*d = -4*d - 2*s - 1291. What is the lowest common multiple of d and 24?
10248
Let r = 112/353 + -39427/14120. What is the common denominator of r and -57/2368?
11840
Let y be (-3)/18 + 52004/(-8145). Let r = y + -54/905. Find the common denominator of 149/48 and r.
144
Let d(r) = r**3 - 9*r**2 + 17*r - 11. Let l be d(8). Suppose -253 = -6*v - l. Calculate the lowest common multiple of v and 12.
96
Let b = 1253322942 - 11430305274299/9120. Let a = b - -414/95. Calculate the common denominator of a and 83/24.
96
Let u = -2621460 - -34056090/13. Let w = u + 1757. Find the common denominator of w and -43/5.
65
Suppose -1