1. Let q be m(-4). Let u be q - (-3 - (-160)/25). Let x = -227/120 + u. Calculate the common denominator of 40/3 and x.
24
Let v = 1635/2 - 776. Let j = 400600741/238 + -1683199. Let c = 99/17 + j. Find the common denominator of c and v.
14
Suppose 11*q - 12*q + 109 = 0. Let f = q - 76. Suppose 14*b - 84 = -0. What is the least common multiple of f and b?
66
Let m(o) = -o**3 - o**2 + 136*o + 96. What is the least common multiple of 60 and m(-15)?
12060
Suppose -20 = 4*a, -4*f + 70 = 3*a - a. Suppose 24 = -15*n + 17*n. Suppose 0 = n*r - 7*r - 70. Calculate the least common multiple of f and r.
140
Let g = -101809/22066 - -23/1003. Let v be (-105)/(-30)*(-2 + (-110)/(-53)). Let n = 1743/424 + v. Calculate the common denominator of n and g.
88
Let w be (1 - (0 + -147)) + -222 + 216. Suppose -2*n - 4*z + 64 = 0, 5*n - z + 2*z = w. Calculate the smallest common multiple of n and 4.
28
Let q(a) = 2*a + 1. Calculate the lowest common multiple of (-1295946)/(-12116) - (-2)/52 and q(2).
535
Suppose -4*q + 0*q - 108 = 5*f, -q + f - 18 = 0. Let u be (4/8)/(q*(-2)/531112). Let t = u - 6040. Find the common denominator of 20/7 and t.
77
Let q = -7262/13 + 560. What is the common denominator of q and (8 - (2 - -7)) + (-24)/(-7)?
91
Let t = -2634871/100 - -26349. Find the common denominator of ((-6)/(-8))/((-45)/498) and t.
100
Let z be (122/2)/(3 + 11/(-4)). Calculate the common denominator of 9/(-11) - (-2)/3 and 4/8*z/(-30)*1.
165
Let u = -84 - -87. Suppose 4*h + h = u*h. Suppose h = 4*z - 8*z + 12. Calculate the least common multiple of z and 3.
3
Let h(i) = 8*i - 62. Let r be h(8). What is the common denominator of 13/20 and 319/(-426) - -2*1/r?
4260
Let n(t) = -19*t + 1239. Suppose -2 = 5*a - 42. What is the smallest common multiple of a and n(57)?
312
Let b be 12*(2 - -3)/(-10). What is the common denominator of (3706/(-153))/(-1*(-8)/b) and 89/48?
48
Suppose -30*l = -31*l. Suppose -o + 5 = -l*o. Suppose -5*w = o*j - 535, 5*w - w - j = 423. What is the smallest common multiple of w and 8?
424
Suppose -5*r = -4*z + 363 + 270, -r = 5*z - 813. Calculate the smallest common multiple of 135 and z.
810
Suppose f = -71 + 45. What is the least common multiple of ((-4)/(-3))/(f/(-117)) and -2 + 6 - -6*3*1?
66
Let w = -3985 - -4062. What is the smallest common multiple of w and 630?
6930
Find the common denominator of (-6)/(-1) - (1030610/153300 + 4/(-6)) and 68/9.
6570
Let o(p) = -p + 91. Let t = -43 + 50. Suppose -44 = -0*l - 2*l. Calculate the smallest common multiple of l and o(t).
924
Let h be 177/(-15) + (-4)/20. Let x be 12/(-9) + 200/h. Calculate the least common multiple of 2 and (-40)/x + 4/(-18).
2
Let g = 10014 + -120283/12. Calculate the common denominator of g and (-7)/(-35)*117/2.
60
Suppose 276 = -3*a + 3*f + 819, -5*a + 945 = 3*f. Calculate the common denominator of -79/6 and 6 + (4 - 1671/a).
186
Let n(i) = -i**3 - 39*i**2 - 147*i + 804. Let x be (1/2)/(3/300). Let l = 76 - x. What is the smallest common multiple of l and n(-34)?
286
Let b = 130 + -74. Let j(s) = 3*s**3 + 19*s**2 + 187*s + 912. What is the lowest common multiple of j(-5) and b?
616
Let t = -4806 - -4822. Calculate the least common multiple of t and 10.
80
Let n = -47/288 - 1505/288. What is the common denominator of n and 10/69?
414
Let z(o) = -4*o**3 + o**2 + o. Let a(h) = 1119*h - 25493. Calculate the lowest common multiple of a(23) and z(-1).
244
Let l(m) = 4*m - 5. Let k(y) = -y**3 + 17*y**2 - 17*y + 21. Let a be k(16). Let u be l(a). Find the common denominator of (325/u)/5 + 2 and -28/17.
51
Let m = 19009/63 - 908/3. What is the common denominator of m and (500/110 + -4)*(-114)/(-189)?
693
Suppose -13*c - 2256 = -15*c. What is the common denominator of ((-14)/((-1120)/c))/(24/10) and ((-2)/(-48))/((-1)/14)?
24
Find the common denominator of 1/424 and 31654/(-1272) - (-2750)/110.
1272
Let x = -67 - -53. Let f = 54 + x. Suppose 7*d - f = 2*d. Calculate the smallest common multiple of 14 and d.
56
What is the common denominator of -59/32 and -9 + 901/102 + 358/240?
160
Let p = -29952/7 - -2155655/504. Find the common denominator of p and 56/909.
7272
Let z be 25/(5 + 0)*(-12)/(-1). Calculate the common denominator of 2/8 - 5/28 and (2 + 30/(-14))/(z/(-1015)).
84
Let v = -206327 - -85832079/416. Calculate the common denominator of 41/1092 and v.
8736
Let c(i) = -i**3 + i**2 - 138*i - 1200. What is the smallest common multiple of c(-9) and 568?
1704
Suppose 5*o - 22 = -3*r, 3*o + 3*r - 10 = 4*o. Suppose -3*q + 570 = 3*s, -s + 944 = 5*q + o*s. What is the smallest common multiple of q and 9?
1683
Let u be 1221*(-628)/(-30) + 35/(-28). Let x = 25564 - u. Calculate the common denominator of -75/16 and x.
80
Suppose 5*y + 15 = 2*j, -671*y = -670*y - 3. Let i = 97 + -58. What is the lowest common multiple of j and i?
195
What is the common denominator of (291/3)/(3 - (-132)/(-4)) and ((-356)/48)/((-4)/3)?
240
Calculate the common denominator of ((-2)/(-8))/((-11)/(-1562)) and 8 - ((-205496)/(-1392))/17.
174
Suppose -196*i = -298*i + 142*i - 240. Calculate the lowest common multiple of i and 1547.
9282
Let z(o) = -2*o + 16. Let g be z(10). Let a(m) = -m**2 - 8*m - 4. Suppose -j + 1 = 0, 4*j + j = p - 10. Calculate the smallest common multiple of p and a(g).
60
Let j(s) = s**2 - 3*s - 16. Let z be j(6). Suppose 2*w + 138 = 4*q, z*q - 114 = -q - 2*w. What is the smallest common multiple of q and 4?
36
Let f = -5 - -9. Suppose -2*a - j = -22, f*a = 3*a + 5*j - 11. Let y(u) = 3*u**2 - u - 2044. What is the smallest common multiple of a and y(-26)?
90
Let l be (-878)/(4 - (63648/(-2787))/(-6)). Let q = 4531 + l. What is the common denominator of 9/110 and q?
990
Suppose -26304 + 6710 = -m + 7*x, 3*m = -3*x + 58830. What is the least common multiple of m and 16?
39216
Let w = 834678/35 - 23850. What is the common denominator of w and -41/1680?
1680
Suppose -4*h + 62 = -70. Let z(q) = -q**3 + 3*q**2 + 17*q - 34. Calculate the least common multiple of h and z(4).
198
Let q = -39124 + 39208. What is the lowest common multiple of q and 144?
1008
Let q = 157 + -164. Let k(i) = i**3 + 7*i**2 - 11*i - 17. What is the lowest common multiple of 9 and k(q)?
180
Let x(j) = 2*j**2 - 8*j + 7. Let g be x(5). Suppose 23 + g = 5*c. Suppose -c*k = -10*k + 8. What is the lowest common multiple of 17 and k?
68
Let f = -24 - -23. Let j be -5*(2 + f - 1/5). Calculate the common denominator of (-167)/38 - j - -2 and 61/8.
152
Let a be (1 - 2)*-2 - -166. Suppose -a = -f - 161. What is the smallest common multiple of 4 and f?
28
Let x be 0*(88/(-16))/11. What is the smallest common multiple of 139 and 18 + -6 + x + -2?
1390
Let g = -61 - 619. Calculate the common denominator of 53/44 + (-1)/4 and 14/g + 1 + (-6)/5.
748
Let w = -101 - -108. Calculate the least common multiple of (-14 + 2)/((-3)/5) and w.
140
Calculate the common denominator of 73/38 and 3 + -2 - (-5)/((-15200)/3395).
608
Let l be -8*1234/(-7) + (-4)/14. Calculate the common denominator of 8 + l/(-72) - (-2)/4 and -23/62.
372
Let q = 33/496 - -31001/7440. Let g be (45 - (-3 + 1)) + -5 + 8. Calculate the common denominator of q and (76/57)/(g/(-28)).
150
Suppose 2*d + 10 = 4*g, -g + d = 2*d - 10. Suppose -82 = -2*b - 4*a - 70, 37 = 4*b - g*a. Calculate the lowest common multiple of b and 92.
184
What is the common denominator of -17/8 and 200*26/(-1664) - -5*(-1 + 0)?
8
Let q be 24/(-9) + 2 + (-1258)/(-6). Let x = q + -194. Let o = 141 - 96. Calculate the least common multiple of x and o.
45
Suppose 0 = -5*i + 5*z - 55, -23*i + 24*i = -z - 1. Find the common denominator of (23 - -2)*3/46 and (i/(36/(-30)))/2.
46
Find the common denominator of 103/1320 and (-114)/32*160/(-48).
1320
Let d(q) = -511*q**3 + 8 - 4*q - 2 + 512*q**3 + 3*q**2. Calculate the least common multiple of (-1)/2 + 99/6 and d(-3).
144
Let y = 113 + -145. Calculate the common denominator of -1 + 230/66 + 0 and (-6)/((-168)/29)*y/(-12).
231
Let h = 3/178680383 - 317310840349/352000354510. Let i = h + -56/197. What is the common denominator of 71/56 and i?
280
What is the least common multiple of (14937 + 13)/23 + (-5)/(5/2) and 1080?
3240
Let j be 634/4*6/69. Let w = 53550629/5426988 + -30/19663. Let r = w - j. Find the common denominator of 105/88 and r.
264
Suppose 0 = m - 0