the common denominator of -2 + (-143)/(-12) - -1 and t?
24
Let j be 6/282*18434/(-70). Let i be (-2)/3*(-174)/(-38164). Let o = i - j. What is the common denominator of o and 5/11?
55
What is the smallest common multiple of 434 and 302 - (112/42)/((-2)/6)?
2170
Let l = 286/3 - 109. Let i(q) = -289*q + 20. Let x be i(8). Let t = 15990/7 + x. Find the common denominator of t and l.
21
Let w be -6 + 567/(7 + 0). Suppose -5*f - 5*l + w = 0, l = 10*f - 6*f - 45. What is the lowest common multiple of f and 24?
24
Let y be (60/50)/((-1)/10). Calculate the common denominator of (4/204)/((-2)/39) and 108/20 - (-9)/y.
340
Let a be (2 - 1) + (-660)/30. What is the common denominator of (2/(-2))/(40/122) and a/9 - -2 - (-145)/(-90)?
180
What is the common denominator of ((-107)/(-251022))/(1/147) and 11/10?
3910
Let j = -53245/9 + 5909. Let i = 184558 + -562028/3. Let r = i + 2809. Calculate the common denominator of j and r.
9
Let f be (6 - (5 - 5))/2. Suppose -f*t + t + 78 = 3*p, -p + 18 = -2*t. Calculate the lowest common multiple of p and 48.
48
Suppose 5*x - b - 3*b - 23 = 0, -2 = 2*x + 4*b. Let p = -14559/1492 + 3/373. Find the common denominator of x*5/(810/303) and p.
36
What is the common denominator of ((-90)/(-6))/(((-558)/(-7))/(8/(-82))) and -37/9?
11439
Let s = 1923/3248 + -6/203. What is the common denominator of s and ((-375)/650)/(-1 - (-46)/10)?
624
Let o be 6*(-6)/15*-5. Let i = 525 + -543. What is the lowest common multiple of o/i + (-22)/(-6) and 2?
6
Suppose -m + 40 = -3*b, -3*b + 186 = 4*m - 2*b. Suppose 154 - m = 4*v. Calculate the least common multiple of (-4 - (0 - 8)) + 26 and v.
270
Let z be 8*1/5 + 18/45. Suppose z*j = -2, -2*j - 5 = p - 4*p. Suppose -3*u + 12 = -3. What is the smallest common multiple of p and u?
5
Let z(i) = i**3 + 8*i**2 + 6*i + 6. Let h(x) = x - 12. Let q be h(17). Suppose 35 + 0 = -q*d. Calculate the smallest common multiple of 8 and z(d).
104
Suppose 15*s - 149 - 2341 = 0. Calculate the common denominator of (-2)/4 - (2 - -3) and (s/18 - 3) + 14/(-28).
18
Suppose -5*t - 5 = 0, -2*c + 353*t - 358*t + 131 = 0. What is the smallest common multiple of c and 408?
408
Suppose -874 = -0*c + 5*c - 4*b, 0 = 2*c - b + 352. Calculate the common denominator of (-788)/340 - (128/68 + -2) and c*((-1)/(-20) + 0).
10
Let h(z) = z**2 - 4*z - 9. Let c be h(15). Suppose 4*p = -5*j + 155, -6*j + 2*j = 4*p - c. Calculate the lowest common multiple of 20 and p.
40
Suppose 0 = 2*y + 6 + 2, 12 = -v + 5*y. What is the common denominator of 7/4 and v/272 + 2410/4012?
236
Calculate the common denominator of 747/(-1660)*2/(-6)*(-1070)/(-468) and 27/16.
624
Suppose -2*c + 5 = 3*c. Let f = 4520 + -4515. Calculate the least common multiple of (20/(c*-2))/(-2) and f.
5
Let f = 7 + 1. Suppose f*z - b = 3*z + 61, 4*b + 64 = 5*z. What is the least common multiple of z and 12/(-21)*(-21)/6*7?
84
Calculate the smallest common multiple of 216 and (-1)/13*184/92 - 80736/(-39).
24840
Let l = -25720 - -26644. Calculate the least common multiple of 303 and l.
93324
Suppose -3476 = -5*h + 4*n, -2*h + 1388 = -10*n + 6*n. Calculate the common denominator of 12 - 6 - h/140 and -179/30.
210
Let i = -144 + 153. Suppose -4*d + i*d = 405. Calculate the smallest common multiple of d and 6.
162
Let a(o) = -9*o + 10. Let g be a(5). Let h = -36 - g. What is the common denominator of -97/2 and (-195)/48 - (-3 - h)/1?
16
Suppose -5*h = -2*a - a + 53, a = 2*h + 21. Let f = 7481/9432 - 59/524. Calculate the common denominator of h/(-12) + (-113)/(-12) and f.
72
Let z(x) = -11*x - 3. Let n(p) = -p + 1. Let l(r) = -2*n(r) - z(r). Let c(q) = 101*q + 6411. Calculate the lowest common multiple of c(-63) and l(1).
336
Let d = -14031/4 + 3513. What is the common denominator of -55/36 and d?
36
Let q = -17053/3460 + 1/24220. Let x = 124880675/153652 - 3/38413. Let k = -796 + x. Calculate the common denominator of k and q.
28
Calculate the least common multiple of 18 and (-5978)/(-10) - (-80)/400.
5382
Let p = 244654/13 + -18820. Calculate the common denominator of p and 69/520.
520
What is the common denominator of (-1)/(9/2)*7 and 1834/(-264) - (-60 - -63)*14/(-6)?
396
Let a = 724 + 740. What is the least common multiple of a and 42?
10248
Let c be (-8)/10 - -1 - 12/10. Let y be 1 + 0 + c + -4*13. Let f = 67 + y. What is the lowest common multiple of 3 and f?
15
Find the common denominator of (6438/259 + -23)/(2/(-2)*-2) and 1 - ((-129)/(-77) + 0).
154
Suppose 0 = -5*d + d + 108. Suppose 0 = -a + 16*h - 18*h - 11, 0 = 4*a - 9*h - 177. What is the smallest common multiple of a and d?
135
Let z = -1/6254 + -306437/56286. Let y be (-108159)/(-74250) - (-4)/18. Let n = -114/125 - y. What is the common denominator of z and n?
198
Let w be (-16)/104 + 0 - 82/(-26). Suppose -21 = -w*a - 3*z, 2*z + 3*z = -25. What is the smallest common multiple of 8 and a?
24
Find the common denominator of 888/(-296) - (1519/(-296) - -2) and 97/54.
7992
Let g = 146 + -152. What is the lowest common multiple of (-3 + 2)/(g/12) + 26 and 4?
28
Let b = 96668500/909 - 106346. What is the common denominator of b and -16/9?
909
Let o = -141/5 + 1547/60. What is the common denominator of o and (2/(-1))/((-66)/(-45))?
132
Let x(c) = -2*c**2 + 10*c - 13. Let q be x(6). Let r = q - -53. Suppose 2*k = -5*a + 58, -2*a + 0*k + 3*k + 8 = 0. What is the least common multiple of a and r?
140
Let u = 303 + -173. Let g = 46 - u. Let b = g + 88. Calculate the smallest common multiple of b and 61.
244
Let t(r) = 6*r**2 - 89*r + 305. Let x(y) = -y**2 + 18*y - 61. Let g(q) = 2*t(q) + 11*x(q). Calculate the lowest common multiple of g(21) and 22.
8800
Suppose -c + 50 + 135 = -5*j, -c - 148 = 4*j. Let o = 2015 - 1960. Let p = j + o. What is the least common multiple of 6 and p?
18
Let y(j) = j**2 + 2*j - 39. Calculate the smallest common multiple of y(-9) and 2214.
8856
Calculate the common denominator of -35/72 and 2 + (-96)/45 + (-598067)/(-532440) - 1.
3672
Let k = 6/5261 - 468325/84176. Find the common denominator of (1022/(-6090))/((-2)/(-5)) and k.
1392
Let b = -15083/20 - -3778/5. Find the common denominator of -27/6218 and b.
62180
Suppose 5*h + 800 = -0*h. Let y = h - -229. What is the smallest common multiple of y and 21?
483
Let q = 32 + -35. Let v = 43/14 + q. Calculate the common denominator of v and (195/(-48) - -4)/((-2)/(-156)).
56
Let v be 39/(-65) - (-3)/5. Find the common denominator of (-857)/(-90) + (-5 - 215/(-45)) and 2 + 188/(-40) - v.
10
Let p = 1244 - 8746/7. Let o = 11469/2 + -5558. Let b = -143 + o. What is the common denominator of b and p?
14
Let o = 2 + 6. What is the lowest common multiple of o and (1/9*3 + 1)/((-92)/(-276))?
8
Let d be -6 + (-4 + (-3 - -5))*-2. Calculate the common denominator of -55/9 and 656/(-256) + (5 - d).
144
What is the common denominator of 61/470 and ((-2438)/371)/(540/(-147))?
4230
Suppose -2*v + v = -3324. Let p = v + -20033/6. What is the common denominator of p and ((4088/120)/7)/(-1)?
30
Suppose 48*f - 57*f - 81 = 0. Find the common denominator of f*(6 + (-507)/72) and -14/9.
72
Suppose 2*b = -5*t - 583, -5*b = -5*t - 137 - 453. What is the common denominator of (-4)/(-18) - 403/72 and 2/(-90)*1235/t?
648
Let n(i) = 18*i - 15. Let w be n(5). Let f = w - 59. What is the common denominator of 24/f - (-41)/6 and -65/24?
24
Let c = 830879 - 92228948/111. Let o = 1063/9 + -38917/333. Let i = o - c. Find the common denominator of 3/10 and i.
30
Let t = -1415633/34044920 + 78/9353. Find the common denominator of -19/39 and t.
10920
Let h = -11326 + 158469/14. What is the common denominator of -89/8102 and h?
56714
Let z(j) = 2*j**3 + j**2 - 23*j + 21. What is the lowest common multiple of z(6) and 2?
702
Let f be (-5)/(15/36) + 0. Suppose -454*k + 498*k = 220. Calculate the least common multiple of k and (-3)/(-2)*(-32)/f.
20
Find the common denominator of 30/(-170) - 192/935 and 73/165.
165
Find the common denominator of (-2615)/10944 + 122/1159 and -47/192.
576
Let w(k) = k - 24. Let p be w(20). Find the common denominator of 41/134 and p/30*(-29795)/(-708).
1206
Let m = 545 - 296. Let n be (-4)/(-8) - m/(-6). Find the common denominator of -67/6 and (-19)/n + ((-40)/12)/(-5).
42
Let p(k) = 3*k**2 - 7*k - 160. What is the lowest common multiple of 40 an