be 2/3 + (-525)/(-225). Suppose 0 = -x*h + 7 + 83. What is the lowest common multiple of 24 and h?
120
Suppose 4*o - 4 = 0, 3*t = 6*t - 3*o + 3402. Let n be 2/(-5) - t/(-165). Let m = -101/12 - n. Find the common denominator of m and -51/20.
20
Suppose 0*x - 30 = -5*x. Suppose 0 = -3*b + 2*b + x. Suppose -5*t + 17919*v - 17924*v - 10 = 0, 4*t = -v + 7. What is the least common multiple of t and b?
6
Let j(g) = -g. Let b(t) = 8*t + 14. Let u(p) = b(p) + 5*j(p). What is the least common multiple of 4 and u(14)?
56
Let l(u) = -u**3 + 4*u - 1. Let z be l(-3). Let t be -3 - (-935)/323 - (-802)/38. Suppose -v - z = -t. What is the least common multiple of 6 and v?
42
Let o = 279 - 112. Suppose 166*u + 16 = o*u. What is the lowest common multiple of u and 1?
16
Calculate the smallest common multiple of (-285)/(-10) - (-20 + 1147/74) and 6/(-9) + (-416)/(-3).
1518
Let z be ((-2)/6)/(-2 - (-22)/12). Suppose z*p = -13 + 21. Calculate the smallest common multiple of p and 132 + (3 - (-6 + 15)).
252
Suppose 0 = -7*z - 5*z - 1056. What is the common denominator of -65/32 and (-407)/z*18/33?
352
Let m = -1425/88 + 20671/1320. Let b = -98983/12 + 8242. What is the common denominator of b and m?
60
Let s(u) = u**3 + 13*u**2 + 29*u - 22. Let d be s(-10). Calculate the common denominator of 242/(5/((-5)/d)) and -34/9.
18
Let q(n) = n**2 + 8*n + 11. Let o be q(-7). Suppose -34 = o*b - 54. Calculate the lowest common multiple of b and 2.
10
Let x = 32999/11 + -78504808/26169. Find the common denominator of x and 19/91.
16653
What is the smallest common multiple of 15925/(-130)*-2*1/1 and 70?
490
Let c = 175180 + -54656087/312. Calculate the common denominator of c and 35/12.
312
Let c(j) = j**2 + 7. Suppose -3 = 3*o - 3*i, -4*i + 39 - 35 = 0. What is the least common multiple of 12 + -8 + (4 + o - 7) and c(0)?
7
Let g = 557 + -541. Calculate the common denominator of (145/42)/(6/(-7)) and (3 - 349/120)*(-43 + g).
360
Let k = 269762 - 130834623/485. Find the common denominator of k and -59/291.
1455
Let h(v) = 47*v**2 - 10*v + 13. Calculate the smallest common multiple of h(1) and 16.
400
Let l = 90/2663 - 200593/340864. Calculate the common denominator of -5/36 and l.
1152
Suppose -11*k - 102 + 674 = 0. Suppose -1360 = 16*z - 50*z. What is the smallest common multiple of z and k?
520
Suppose -3*u + 1251 = 5*d, -2*d + 4*u = -252 - 264. Suppose 0 = -8*b + 4 + d. Calculate the least common multiple of 22 and b.
352
Let u be (-3464)/(-30)*((-74)/4 - -4). Let b = u + 1673. Find the common denominator of b and -125/18.
90
Let s(j) = -26*j**2 - j**3 - 2*j**3 + 4*j**3 + 53 + 23*j. Suppose -232*v + 223*v + 225 = 0. What is the lowest common multiple of s(v) and 24?
24
Let o = 120166490 - 6248119849/52. Let y = o - 10338. Find the common denominator of y and -75/4.
52
Suppose 0 = 1949*c - 1961*c + 34944. Calculate the lowest common multiple of 112 and c.
2912
Suppose -m + 10 = -2*w, 27*m - 26*m - 22 = 5*w. Calculate the common denominator of (9/54)/(w/(-39))*-7 and -85/496.
496
Let j = -2046919/20 + 102340. Let v(x) = -x**2 - 4. Let y be v(6). What is the common denominator of j and 2/5 + (-154)/y?
20
Let s = -47/14 + 400/189. Calculate the common denominator of 119/162 and s.
162
Let t = -309 - -243. Calculate the least common multiple of 7*((-38)/(-399))/((-2)/t) and 526.
5786
Let p(a) = a**3 - 29*a**2 + 60. Let n be ((-174)/(-1))/(-3)*8/(-16). What is the lowest common multiple of p(n) and 12?
60
Let w be 2/9 - (-48)/(-216). Suppose 5*c + 5*g - 170 = w, g = 4*c - 2*c - 62. Suppose 0 = -5*v + 12 - 2. Calculate the smallest common multiple of v and c.
32
Let s(n) = 3*n + 5. Let u be s(-2). Calculate the common denominator of (1 - -2) + 304/160 and u/(-4) + (-6)/(-3).
20
Let k = -6981647/270 - -25858. Find the common denominator of 41/1080 and k.
1080
What is the lowest common multiple of 740 and (-10)/(-24)*201 - (-5)/20?
15540
Suppose 24*q - 19*q + 55 = 0. Let o be 38/(-52)*q + 2*1. Let d = -2181/260 + o. Calculate the common denominator of -113/18 and d.
180
Let t = -1/43489 + 6218963/1565604. Let q = -89/30 - 6/5. What is the common denominator of q and t?
36
Suppose 2*b - 2*x = 868, 101*b - 100*b + 4*x = 464. What is the least common multiple of 280 and b?
3080
Let s = 9014 + -8764. What is the smallest common multiple of 550 and s?
2750
Suppose 58*w - 1231 + 1207 = 2876. What is the lowest common multiple of w and 425?
850
Let j = -10505/2 + 5221. What is the common denominator of 41/59 and j?
118
Let r = 3254 + -52043/16. Let b = -41691 - 12278. Let s = b - -2698563/50. Find the common denominator of s and r.
400
Let c = 11638 + -11578. Calculate the lowest common multiple of 888 and c.
4440
Let p = -19 + 30. Let x(n) = -2*n**2 - 18*n + 22. Let y be x(-10). What is the lowest common multiple of p and (7 - 6)*(y - -4)?
66
Find the common denominator of -17*185/(-525) + -7 and 13/45.
315
Let s = 3367/3336 - -8308781/1564584. Let z = s - 31/67. Calculate the common denominator of ((-9)/((-54)/12))/((-38)/(-37)) and z.
133
Suppose -21 = y - 18. Let i be (10/4)/(1/(-72)). Find the common denominator of 25/18 and 2 - ((-1374)/i + y/5).
90
Let k = 157961/215824 + -1/5264. Let a = 709/2 - 5059/14. Find the common denominator of k and a.
287
Let c = 16 + -13. Let b(l) = -4*l**3 - 2*l**2 + 5*l + 8. Let h be b(4). Find the common denominator of (-6)/2 - (h/24 + c) and 61/18.
18
Suppose -2*h - 4*h = -648. Find the common denominator of (-1572)/432 - 6/8 and (-1)/(-3) - (951/h + -6).
36
Let a be ((4/(-30))/2)/(2/(-106437)). Let g = -2075219/585 + a. Find the common denominator of -39/8 and g.
936
Suppose 569*x = 576*x - 102 - 38. Calculate the least common multiple of x and 4136.
20680
Calculate the common denominator of -37/27 and (-1)/(((-504)/(-210))/(-1 - 513/(-355))).
3834
Let t = 437/3 + -121. Find the common denominator of -12/5195 and t.
15585
Let k = 420218 - 465181388/1107. Find the common denominator of -187/270 and k.
11070
Let k = 392 + -371. What is the smallest common multiple of (18/10 - 1) + 28408/265 and k?
756
Suppose 0 = -2*w + 2*i - 297 - 31, 3*i + 3 = 0. Calculate the common denominator of (-55)/w + (-362)/672 and -9/20.
560
Let x be (-10)/3*(-9)/(-12)*2. What is the common denominator of -37/40 and -2 - x/2 - (-3)/5?
40
Let y = 2079 + -22923/11. Let x = -49433/11838 + 18/1973. Calculate the common denominator of x and y.
66
Let j = -4927/42 - -745/6. Find the common denominator of -10/2037 and j.
2037
Suppose 5*q = -2*l + 18, -3*q = 2*q - l - 21. Let r be 9/36 - (-19)/q. Calculate the least common multiple of (8/(-10))/((-1)/r) and 11.
44
Let f(w) = -2*w**3 + 9*w**2 + 7*w - 40. What is the lowest common multiple of 1384 and f(4)?
1384
Let n be -7 + 412/28 + (-4)/(-14). Let a(w) = -w**2 + 8*w + 20. Let g = 18 - 10. Calculate the lowest common multiple of g and a(n).
40
Let n = -12725/1602 + 524/89. Find the common denominator of 77/1812 and n.
5436
Let y = 1760/41 - 92293/2214. What is the common denominator of y and 12/(-44) - 7147/(-1848)*-3?
216
Let n = -2846803/819900 + -2/22775. Find the common denominator of n and 5/93.
1116
Calculate the common denominator of 79/10 and ((-21)/(-182))/(12/(-432)).
130
Let q be (-1)/((-2)/8) - 56937530/(-1180). Let g = 48257 - q. Calculate the common denominator of 11/8 and g.
472
Let p = 11427798409/51 - 224067242. Let c = p + -7236. Calculate the common denominator of c and 10/153.
153
Let v be 903063/(-24)*(-1)/(-6). Let q = v + 6271. Calculate the common denominator of q and (-1760)/3520 + (-28)/18*3.
48
Calculate the lowest common multiple of 167 + (1 - 6/5) + 1785/425 and 209.
1881
Let u = 562 - 22477/40. What is the common denominator of (297/63)/(-4*(-100)/56) and u?
200
Find the common denominator of (16 - 38318/2397)/((-2)/(-201)*-10) and 47/60.
2820
Let j = 264774329/740 + -357803. Calculate the common denominator of j and 49/45.
6660
Suppose 0 = -3*j - 3*d + 89 + 121, 224 = 3*j - 4*d. Calculate the smallest common multiple of j and 207.
1656
Calculate the common denominator of -53/3570 and 3*10474/(-24480) + 1/((-16)/(-20)).
28560
What is the smallest common multiple of 3 and (-2 - 0)*((-156)/546 - (-4833)/(-14))?
2073
Suppose -136 = -m - 2*q, -59*m + 56*m + 2*q + 360 = 0. What is the least common mult