ate the least common multiple of 1105 and (-3 + 29)/(258/(-952) - (-30)/105).
8840
Let v(w) = -w + 136. Suppose 0 = -3*m - i + 15, 0*m - 4*m - i + 19 = 0. Suppose m*u - 10 = 46. Calculate the lowest common multiple of u and v(-10).
1022
Let v = 87629/40 - 2192. Let b be (-48)/(-168) - (-3579)/(-12404). Let k = 20169/4430 + b. Calculate the common denominator of v and k.
40
Let w(u) = -u**2 + 11*u - 16. Suppose -15*o = -50 - 55. What is the least common multiple of w(o) and 20?
60
Suppose 0 = 2*u - 3*u + 4. Let j = 53 - 52. What is the smallest common multiple of u and 6 + 3/(-2)*2*j?
12
Calculate the common denominator of (4/6810)/(((-1288)/3710)/23) and 5/14.
9534
Let l = 41530222/27 + -13954783/9. Let f = 12373 + l. Find the common denominator of f and -4 + (36/(-32))/1.
216
Let o be (-318)/(-21) - (-2)/(-28)*2. Suppose 5*s - 35 = -o. Calculate the least common multiple of s and 0 - (-1 + -11 + 4).
8
Suppose -4*f = -9*f + 270. Let b(d) = -3608*d + 36. What is the lowest common multiple of b(0) and f?
108
Let o = -216 + 287. Let h = o - 68. Calculate the lowest common multiple of 26 and h.
78
Suppose -724 = -5*g - 4*a, 47*g + 748 = 52*g - 2*a. Calculate the smallest common multiple of g and 4.
148
Let h = -1372 + 30177/22. Calculate the common denominator of h and (848/484 + -2)*(-80)/60.
242
Let v(b) = 4*b**2 + 18*b + 5. Let p be v(-4). Calculate the common denominator of 2667/490 - p/15 and 17/122.
854
Calculate the common denominator of (-81)/36*(-1106)/21*1/66 and 127/2640.
2640
Let d = -2987518 + 10038060329/3360. Calculate the common denominator of d and 53/672.
3360
Suppose -63 + 480 = 122*v + 17*v. What is the smallest common multiple of v and 1152?
1152
Calculate the lowest common multiple of 27 and (-1356938)/(-220) + -15 + 1/10.
55377
Suppose -16*q - f = f - 7214, -2*f + 1814 = 4*q. What is the lowest common multiple of q and 36?
900
Let c = -925579852/63 - -14691383. Let v = c + 2580/7. What is the common denominator of 1 - 20*(105/33 - 3) and v?
99
Suppose 4*g - 11 = -x, 27 = 5*g - 4*x + 8. Suppose -k + 6*k = -g*n + 5, 0 = -5*k + 3*n - 25. Calculate the common denominator of (-125)/(-30)*k/(-6) and -71/18.
18
Let q be (28/6)/((-8)/2409). Let x = q + 1420. What is the common denominator of -57/14 and x?
28
Let v be 1506/8 - (-8 + 22 + -17). Suppose 2*c + 494 - 130 = 0. Let z = c + v. Find the common denominator of z and 29/3.
12
Suppose -2*q + 5*b - 265 = 4*b, -3*b + 271 = -2*q. Let h = q - -138. Calculate the lowest common multiple of h and 70.
70
Calculate the lowest common multiple of 15 and 10*(-22536)/(-120)*(-15)/(-6).
4695
Let l(x) = 2*x**2 - 85*x - 130. Calculate the smallest common multiple of 3194 and l(44).
3194
Suppose -1 = 4*j - 5*o, 8*o = 5*j + 4*o - 1. Let w be (j - 58/(-8))/(12/(-14)). Let i = w + 9. Find the common denominator of i and 17/22.
88
Let k(d) = 15*d**3 + 4*d**2 - 11*d + 12. Let t(j) = -7*j**3 - j**2 + 6*j - 6. Let r(g) = -3*k(g) - 7*t(g). Calculate the lowest common multiple of 56 and r(3).
168
Suppose -3*g + 4*w = 0, 0*w + 3*w = -5*g. Find the common denominator of (7 - 995/90)/(g + 1) and -65/82.
738
Suppose 38*l + 27*l - 213070 = 0. Calculate the least common multiple of 298 and l.
3278
Let p(z) = z**2 - z - 4. Let s be p(3). Suppose 268 = -37*a + 823. Suppose -3 - a = -s*i. What is the smallest common multiple of i and 9?
9
What is the lowest common multiple of 84/(-1134) - 12318/(-81) and 44?
1672
Suppose 13*r = 13 + 130. Let k = 32 + -27. Suppose z - k = -y, -15 = -2*z - z - 2*y. What is the least common multiple of r and z?
55
Suppose m + 5*j = -72, -3*m = m - j + 288. Let p = m - -102. What is the least common multiple of p and 15/6 + (-2)/(-4)?
30
Let i be 7 + -1 + -1 + 0. Suppose o = 2*y - o - 4, 0 = 2*y + i*o - 18. Suppose -y = -2*j + 2. What is the lowest common multiple of j and 9?
9
Suppose 1205 = -11*f + 10456. What is the common denominator of 89/18 and (-6)/(-27) - (f/(-198) - -2)?
198
Let w be 40*-1*(-11)/(11/(-14)). Let b = w + -342. Calculate the common denominator of -113/42 and (-3)/5 + b/(-270).
378
Let w = 308018/42568521 - 38/5669. Find the common denominator of w and -85/4.
30036
Suppose -1176 = -62*v + 114 + 74. What is the least common multiple of v and 979?
1958
Suppose 0 = -7*u - 4*u + 176. Suppose c = 4*c - 36. What is the lowest common multiple of u and c?
48
What is the lowest common multiple of 1040 and (-34)/(-1) + (420 - 406)?
3120
Let f be -1 + 0 - 0 - -5. Suppose q = -z, q - 3 = -2*q. Find the common denominator of (f + (-18)/8)/(z/(-26)) and 73/16.
16
Let m(a) = -130*a**3 + 5*a**2 - 4*a. Let q be m(1). Let f = -82 - q. Calculate the least common multiple of f and 1.
47
Let k = 561 - -258. Let f = k - 611. Calculate the smallest common multiple of 24 and f.
624
Suppose -3*o - 2*o + 620 = 570. Suppose 2*k + 118 = 3*s + 6, 4*s - 4*k - 144 = 0. What is the smallest common multiple of s and o?
40
Suppose -20*s + 25*s - 10 = 0. Suppose 0 = -4*u + s*u + 6. Suppose 4*o = 2*v + 90, -4*v = -u*o - 10 + 85. Calculate the smallest common multiple of 18 and o.
126
Calculate the smallest common multiple of 7 - (-8 - -7) - 2 and 226.
678
Let d = 92793/5 - 18220. Let p = d - 18813/55. Let t = 746 + -51476/69. Find the common denominator of p and t.
759
Suppose 74 - 20 = 4*q + 5*o, 30 = -5*o. Let m = -5 + 7. Calculate the lowest common multiple of q and (9/m + 0)*2.
63
Let t(w) = 55*w**2 - 2*w + 1. Suppose 9*l = 430 - 52. Calculate the least common multiple of t(1) and l.
378
Let y be (-1 + (-547)/3)/((-166)/249). Calculate the common denominator of 2/7 + (y/(-252) - 0) and 53/44.
396
What is the common denominator of 57/536 and 30/(-3) + 12987/1776?
1072
Let y = -55266853/180 + 307039. Let o = 362243/54 - 6709. Find the common denominator of y and o.
540
Suppose -3*p + 805 = -251. Suppose 0 = n - q + p, -n + 4*q = -6*n - 1796. Find the common denominator of 6/(-12)*n/30 and 1/9.
45
Let v = 731929 + -453796081/620. What is the common denominator of v and 5/1612?
8060
Let h(w) be the third derivative of -w**4/24 + 4*w**3 - 2*w**2 - 6. What is the lowest common multiple of (-17 - -15)*(0 - 10) and h(18)?
60
Let x(w) = -4*w - 24. Let v be x(-11). What is the common denominator of v/14 - (-4 - (-10)/4) and 81/22?
154
Suppose -30*i + 560 = -28*i. Calculate the common denominator of -4/5 and 6 + (0 - 2499/i).
40
Let v(k) = -4*k - 4. Let f be v(0). Let t be (f - 140/(-25))/((-2)/(-10)). Suppose -13 - 11 = -t*w. What is the least common multiple of w and 14?
42
Let x be 20*(14/6 - (-1)/(-3)). Let t = x + -39. Suppose 3*l = 11 + 13. What is the lowest common multiple of t and l?
8
Let j = -8398 + 8466. What is the least common multiple of j and 20?
340
Let v = 1327491571/12210 - 543608/5. Find the common denominator of v and -91/666.
7326
Calculate the lowest common multiple of 20/(-8) - -1 - 14742/(-24)*2 and 6.
2454
Let k = 9398 + -47213/5. Let r = k + 757/20. Let b = 15629/180 + -444/5. Calculate the common denominator of b and r.
36
Let h = 14663 - 264049/18. Let o = 1379770 - 144871352/105. Let a = o - 305/7. Find the common denominator of h and a.
90
Let t = 129265/44 + -2937. Let b be 3/(108/8) + 56/(-9). Find the common denominator of 246/4*(b - (-111)/18) and t.
44
Suppose -5*x + 0*x = -4*a + 3668, 2*a - 1824 = 5*x. Let t = -4557/5 + a. Let s = 497 - 4486/9. What is the common denominator of t and s?
45
Suppose -b - 85 - 86 = 3*x, 4*b = -3*x - 162. Let y(g) = -3*g - 64. What is the smallest common multiple of y(-26) and x/(-7) - 8/28?
56
What is the common denominator of (65744/(-6105))/(-8) - 124/93 and -127/1110?
12210
Suppose 87*v - 1290 = 93*v. What is the common denominator of 28/15 and -21*(v/(-90) + -2)?
30
Let o be (-5 - 18/(-4))*6. Let v(x) = -32*x**2 - 3*x - 16. Let l be v(o). Let z = 1466/5 + l. Calculate the common denominator of -45/2 and z.
10
Suppose 4*m - 14 + 18 = 0, -n + 4*m = -5. Calculate the lowest common multiple of (-1)/(((-127)/21 + 6)*n) and 7.
21
Let g be ((-126)/4)/7*(-20)/(-15). Find the common denominator of 12/7 and (-120)/1224*((-4)/g + 0).
1071
Let l = -24/745 + 34581/32780. Find the common denominator of -29/12396 and l.
136356
Suppose 0 = -2*c + 29 - 1. Suppose 19*a - 232*a + 18318 = 0. What is the lowest common multiple of a and c?
602
What i