1). What is the lowest common multiple of (j/(-9))/(2/(-6)) + 23 and 294?
882
Let r = 10591 + -10071. What is the lowest common multiple of 45 and r?
4680
Suppose 0 = 5*j - 5*p + 6*p - 1, 0 = -3*j - p + 1. Let u = 76 + -43. Let l = u - j. What is the smallest common multiple of l and 9?
99
Let m = 37977/860 - 1686/43. What is the common denominator of m and -119/780?
780
Let b = -13 - -13. Let a be (2 + -2)/(b + -2 + 3). Suppose -o = -a*o - 4. Calculate the smallest common multiple of 24 and o.
24
Let z = -221186/73 + 3030. Let r = -1607/2307 - -4212121/1347288. Let q = r - z. What is the common denominator of 13/3 and q?
24
Suppose -3*q = -17*q - 938. Let k = -57 - q. Calculate the lowest common multiple of k and 430.
430
Let s = -1167 + 1207. Let m(d) = d**2 + 4*d - 28. What is the least common multiple of s and m(-8)?
40
Let o = 157 - 183. Let t = o - -206. What is the lowest common multiple of t and 30?
180
Let q = 119 - 59. What is the common denominator of (-2 - 114/24)*(-2)/8 and (-2 - -1) + (-605)/q?
48
Let q be 3*(-3 - 39/(-9)). Suppose 0 = -b - 2*h + 10, q*b - 3*h = 2*h - 12. Calculate the smallest common multiple of -8*(-2)/8 + -10 + 22 and b.
14
Let j(f) = -f**3 - 17*f**2 - 101*f - 135. What is the smallest common multiple of j(-17) and 4?
3164
Suppose 0 = -46*s + 15*s + 62. Suppose -55 = 11*y - 12*y - 5*o, s*y - 4*o = 54. What is the lowest common multiple of 45 and y?
315
Let m(j) = 52*j**2. Let l be m(2). Suppose 2*f + 1 + l = o, -2*o = f - 413. What is the smallest common multiple of o and 8?
1656
Let s be ((3 - -1) + 2062)*14 + 5. Let v = -7752961/268 + s. Find the common denominator of -95/22 and v.
2948
Suppose 4*c = -5*n + 2*c + 144, 4*n - 135 = 5*c. Calculate the lowest common multiple of n and (101/404 + (-47)/12)*-45.
330
Let f = -14145 - -15325. Calculate the lowest common multiple of f and 1770.
3540
Suppose b - 537 - 1465 = 4*x, -5*b + 9992 = -2*x. What is the smallest common multiple of 54 and b?
1998
Suppose 2*x + 2 = 3*x. Suppose 3*v - 2*f = 26, -v + 16*f - 19*f = -5. What is the least common multiple of (v - 5) + (-5 - -5 - -1) and x?
4
Let o = 213 + -27. Suppose 5*c = 3*z + o, 96 = 5*c - z - 86. What is the least common multiple of 66 and c?
396
Let r = -10 + 1007/96. Calculate the common denominator of -89/8 and r.
96
Let x = -791 + 821. Let l be -1*(1 - 0) - (-4 + -25). Suppose s - l = -5*w, -s = -3*w + w. Calculate the least common multiple of x and s.
120
Let s(p) = 3*p + 61. Let y be s(-22). Calculate the common denominator of 35/12 and (y*(-3)/30)/(14/162).
84
What is the common denominator of (-714)/480*(-6)/21 and -13/125?
1000
Let a = -955502 + 955513. Suppose 0 = x - 0*x - 4, -x + 4 = v. Suppose v*t - 4*t + 40 = 0. Calculate the lowest common multiple of a and t.
110
Let s = -6913/195007 - -2015559941944/15405553. Let b = s + -130835. Let l = b + -6907/632. What is the common denominator of -62/5 and l?
40
Calculate the common denominator of 30/(-540)*(0 + -102) and -48/157.
471
Let u = 2049 - 1167. Calculate the lowest common multiple of 70 and u.
4410
Let v(o) = 2*o**2 + 216*o - 732. What is the lowest common multiple of 242 and v(-118)?
17908
Let q(a) = -a**2 - 62*a + 2375. Calculate the lowest common multiple of q(25) and 328.
8200
Let y(u) = -15*u + 5. Let k be y(5). Let o be 20/k - 1805/(-168). Let t = o - 149/8. Find the common denominator of 5/4 and t.
12
Let a = 1228/1435 + -14/41. Calculate the common denominator of 14/196*(-39)/(-5) + 1 and a.
70
Let f be 0/17 + (-1 - 34). Let i = f - -44. Suppose -4*g + i + 3 = 0. What is the lowest common multiple of 6 and g?
6
Suppose 0*x - 78 = -2*x. Find the common denominator of ((-226)/30)/(52/x) and ((-2290)/(-180))/(-1) - -10.
180
Let x = 16 + -11. Suppose 0 = 1316*p - 1309*p - 56. Let v = x + p. Calculate the lowest common multiple of 3 and v.
39
Calculate the common denominator of ((845/(-4732))/(30/(-16)))/(15/(-198)) and (80/(-8750))/((-4)/110).
175
Let v be 1 + 0 + 1 + 2. Find the common denominator of 3/v*726/(-135) and ((-1)/8)/((-4)/140).
120
Suppose 100*z - 63 = 180*z - 89*z. Calculate the least common multiple of z and 1064.
1064
Let t = -10996 - -11005. Calculate the smallest common multiple of t and 3360.
10080
Let w = -2777 - -3036. What is the lowest common multiple of 148 and w?
1036
Let q = -4583012046541/59319236842905 + 364776/4793605. Let t = -1/1417 - q. Let l = 238730/61131 - t. What is the common denominator of l and -31/12?
84
Let s be ((-20)/50)/((-6)/(-10) - 1). What is the lowest common multiple of ((-6 - 34)/(-4))/s and 45?
90
Calculate the common denominator of (3*3/306)/((-2660)/6232) and 109/170.
1190
What is the common denominator of (2/(-52) + 52 + -52)*(-86)/104 and -53/1040?
13520
Suppose 837*a - 804*a = 660. Calculate the lowest common multiple of 32 and a.
160
Let r = -96516 + 42467021/440. Calculate the common denominator of r and -29/99.
3960
Let t be 21*35/15 + -4. Let v = -44 + t. Find the common denominator of (v/(-66))/(2/14) and -85/12.
132
Calculate the smallest common multiple of (-6)/18 + (-14)/(-6) and 99/330 - (-337)/10.
34
Suppose 3*n + 4*v - 46 = 0, -4*n + 18 = 5*v - 44. Let x = n + -197/14. What is the common denominator of x and -79/142?
994
Suppose -3*s + 8*s = 3*u - 8, 0 = -3*u + 3*s. Let n = 5377 + -75309/14. Find the common denominator of n and 255/352 + u/(-22).
224
Let m = -5715 - -5936. Calculate the least common multiple of 1802 and m.
23426
Let y be (12/(-9))/(1/(-3)). Calculate the common denominator of 23/11 and 3/y + (-450)/(-100).
44
Let y = 14576/7439 + -85/43. Let g = 5375/692 + y. Let k = -8815/11 + 799. Calculate the common denominator of g and k.
44
Let n = -723241/40 + 18079. Let f = -5584363/30 - -186145. Calculate the common denominator of n and f.
120
What is the common denominator of (-11493)/21840 + 148/259 and -71/80?
1040
Let j = -33 - -40. Suppose -j*w = -18 + 4. Calculate the common denominator of -12/11 and 35/9 - (w - 3).
99
Find the common denominator of 10 + 2 + 6 + -13 + 1390/(-256) and 79/3376.
27008
Let l(y) = -y**2 - 35*y + 18. Calculate the least common multiple of l(-5) and 588.
1176
Let u = -27340 + 28690. What is the lowest common multiple of 110 and u?
14850
Suppose 4*a - 1 - 270 = 3*i, -4*i + 362 = 5*a. Suppose 4 = w + 6, -l = -2*w - a. Calculate the smallest common multiple of 9 and l.
198
Let d(y) = -y**3 + 9*y**2 + 14*y - 30. Let m(w) = -w**3 + 6*w**2 - 5*w + 6. Let n = -16 + 20. What is the least common multiple of m(n) and d(10)?
90
Let x = -1/212 - -31/954. Let d = 31/18 + x. Let u = -11459/10 - -1150. What is the common denominator of u and d?
20
Suppose 2*a - 3*h - 237 = 0, 4*a - 108*h = -110*h + 450. What is the least common multiple of 874 and a?
2622
Suppose 303*v - 296*v = 602. Suppose -13*k = -564 - v. Calculate the least common multiple of k and 55.
550
Let l = -1393 + 2767/2. Find the common denominator of l and (-1 + 138/176)*1.
88
Let z be (72/16 + -4)/(1/38). Suppose 0 = 7*m + z + 9. What is the common denominator of 866/224 - (m - (-72)/21) and 97/26?
208
Suppose -3*o + 1206 = 3*c, -3*c + 789 = -o - 429. Calculate the smallest common multiple of 35 and c.
2835
Let l = 237973/99627 + 16/3019. Find the common denominator of l and 119/2214.
24354
Let n be (-1)/(-5)*(-2 + 2). Suppose -5*q + 5*w = -n*q - 40, -4*q = w - 32. Suppose -20 = 24*u - 68. What is the least common multiple of u and q?
8
Let u = -550 - -348. Find the common denominator of (-25)/u*20/75 and 11/24.
2424
Let r = -186153/31 + 6006. Let f = -2/1731 - -57127/3462. What is the common denominator of f and r?
62
Suppose -3*w - 102 = 4*t, -w + 4*t - 18 = -0*t. Suppose -o - o = -4. What is the smallest common multiple of (-312)/w*5/4*2 and o?
26
Suppose 66*a = -152*a + 303402 + 250318. What is the lowest common multiple of 2032 and a?
10160
Suppose 0*x + 3*u + 4 = -2*x, -4*x = -u - 20. Calculate the least common multiple of 75 and x*(-3 - -6) + 6.
450
Let t be 133/(-57) - (-1 + (-10)/(-6)). Let q(g) = g**2 + 5*g + 6. Let p be q(t). Find the common denominator of 8/42*((-5)/20 + p) and 91/18.
126
Let w = -261653/490380 + -16/3715. What is the common denominator of 1*(196/(-30) - -1) and w?
660
Let v = -2/18497 + 1683403/1627736. Calculate the common denominator of v and -71/8.
