*1. Let y = b + -3519/1750. Find the common denominator of y and -77/254.
1778
Calculate the smallest common multiple of (135/(-21))/(9/(-42)) and 540.
540
Let a = 18401/3100 + 11/775. Let t = -19959 - -478943/24. Find the common denominator of t and a.
120
Let t = -391156 - -2363989/6. Let m = 6522 + -3691. Let d = m - t. Calculate the common denominator of d and 39/32.
96
Suppose -2368 + 3010 = 61*p - 3079. Let w = -17 - -25. What is the smallest common multiple of p and w?
488
Let n(m) = -12*m - 131. Let b be n(-16). Let l = 110/3 - b. What is the common denominator of l and 94/(-234) - 10/(-45)?
39
Let z be (1/1)/(19/57). Let u(l) = -18*l + 60. What is the least common multiple of u(z) and 108?
108
Let l = 645298/186135 - 2/12409. Let u = 7/524 + -36911/17292. Find the common denominator of u and l.
165
Let n = 11 - 17. Let d(a) = 5*a - 77. Let r be d(10). What is the lowest common multiple of 3/(-6) + r/n and 9?
36
Let m = -141 + 109. Calculate the common denominator of 61/21 and (6 - 125/20)/(42/m).
21
Let k = 1703/4 + -15181/36. Find the common denominator of ((-293)/7 - -42) + (-591)/315 and k.
90
Suppose -55*v + 6530 = -2215. What is the smallest common multiple of v and 21?
1113
Suppose 4*c + 4*t = 44, 4*c + 295 = 2*t + 321. What is the least common multiple of c and 304?
304
Suppose h = -3, 9*h = 2*s + 12*h + 5831. Let i = -9360251/3210 - 5814/535. Let z = i - s. Calculate the common denominator of z and -57/22.
66
Suppose 2*k = 5*p - 370 - 2820, 10 = 2*k. Calculate the least common multiple of p and 340.
10880
Suppose -7*x + 4 = -6*x. Suppose -x*l = 315 + 49. Calculate the common denominator of 105/26 and (l/(-6) + 24/(-18))/1.
78
Suppose -5*m = 4*i - 59, 5*m + 45 + 24 = 4*i. Suppose 4*t - 31 = 33. Let d = t + -12. What is the lowest common multiple of i and d?
16
Suppose -2*s = 2*s - 12, 4*q + 3*s = 49. What is the least common multiple of q and 140?
140
Let d(v) = -v**3 - 20*v**2 + 2*v + 33. Let p be d(-20). Let a be (p - -9)*(-52*1 - 1). Let b = -103 - a. Calculate the least common multiple of 8 and b.
24
Let h = -25 - -29. Let l be 105/10*4/3. What is the least common multiple of h and l + (-5 + 4)*2?
12
What is the lowest common multiple of 2030 and 9/(-27) - 364/(-84)?
4060
Let n(q) = -q**3 - 16*q**2 + 17*q + 6. Let p be n(-17). Suppose -2*l + p = -4*d, -2*l + 5*l = 4*d + 15. What is the least common multiple of 66 and l?
198
Suppose -4*o + 16 = 0, -2*p + 30*o + 674 = 29*o. Calculate the least common multiple of p and 42.
4746
Calculate the least common multiple of (-20)/(-8) - -307*(-4 - (-45)/10) and 52.
156
Let c = 5325 - 5133. Calculate the least common multiple of 60 and c.
960
Let n(g) = -10*g**2 + 11*g + 35. Let z be n(-5). Calculate the lowest common multiple of 145 and z/(-8)*(-192)/(-144).
1305
Let a(s) = -4*s. Let b(n) = -322*n - 22952. What is the smallest common multiple of a(-1) and b(-72)?
232
Let q = -3810753/77 + 49490. Find the common denominator of 177/21 + 4/(-14) and q.
77
Let s be (-39207)/(-102) - (-4)/34. Let l = s + -345. Find the common denominator of l and -103/94.
94
Let n be 98214/36 + 5 - -4 - 2. Let a = n + -2726. Find the common denominator of 27/19 and a.
114
Let h be (-1524362)/560 + 2*(-1)/4. Let n = h - -2722. Calculate the common denominator of n and -14/15.
120
Suppose -u + 3*x + 1884 + 238 = 0, -2154 = -u - 5*x. What is the least common multiple of 22 and u?
2134
Let r = -59513/2669 - -3667/157. Let s be -38*(2 + -1)*-68. Let x = s + -28451/11. Calculate the common denominator of x and r.
187
Let d = 15219 - 11797. What is the smallest common multiple of d and 18?
30798
Let x = 297907/18 + -16546. Calculate the common denominator of 79/254 and x.
2286
Let o = 3/352294 + -5374504/237270009. Calculate the common denominator of -35/27 and o.
24246
Let z(x) = 2*x**2 - 3*x - 6. Let o be z(5). Let c = o - -591. Let i = -3685/6 + c. Calculate the common denominator of i and -41/6.
6
Suppose 0 = -210*f + 191*f + 209. What is the least common multiple of f and 1329?
14619
Let y = 102 + 106. Let d = -166 + y. What is the least common multiple of 36 and d?
252
Suppose -29 = 2*t - 1. Let i be 14*(-19)/(-18) - (t + 17). Let g = i - 5/18. What is the common denominator of g and 11/5?
10
Let c = -21301 + 21309. Suppose -x = 4*k - 3155, 5*k - 4*k - 770 = -4*x. Calculate the lowest common multiple of c and k.
3160
Calculate the least common multiple of 33 + -38 + 7 + 343 and 69.
345
Suppose 0 = -5*s + 5*h - 125, 11*s - 103 = 15*s - h. Let z(y) = -y**3 - 24*y**2 + 53*y + 28. What is the least common multiple of z(s) and 174?
174
Suppose 0 = 3*c - 12 - 6. Let j be (-158)/(-4)*(c + -4). Suppose -24 + j = 5*d. What is the lowest common multiple of 21 and d?
231
Let w = 12016/9 + -1341. What is the common denominator of w and 63/94?
846
Let g = 5759111/116 - 49647. Find the common denominator of g and 71/70.
4060
Suppose -5 = y + 4*k, -20*k - 2 = -2*y - 22*k. Suppose -112*d + 107*d = -5*w - 130, -2*d + 57 = -y*w. What is the least common multiple of 111 and d?
777
Let m = -37/131 + -12001/1572. Find the common denominator of m and (-1625)/(-1950) + (-49)/(-72) + 1 + -1.
72
Suppose 0 = -4*m - 4*a + 44, m - a + 6*a = 23. Suppose -19 = -d - 2*u, -3*d = -5*u - 39 + 4. Calculate the least common multiple of 1/4 + (-2 - (-206)/m) and d.
120
Let y be (50/15)/(-2*(-3)/324). Suppose -36 = -4*u + y. What is the smallest common multiple of 16 and u?
432
Let b = -1523917/60 - -25398. Calculate the common denominator of -99/1090 and b.
6540
Let l = -2498/13 + 299123/1560. Find the common denominator of l and -42/5.
120
Let i be (-234)/12*404 - 1/1. Let v = 4901066 - 44038759/9. Let t = i + v. What is the common denominator of 11/4 and t?
36
Suppose -4*b + 298 - 14 = -4*n, -5*n - 4*b = 310. Let o = -59 - n. What is the common denominator of 73/36 and ((-450)/5 - o)*1/(-20)?
180
Suppose -80141 - 16351 = -258*p. What is the least common multiple of 170 and p?
1870
Let f(i) = 34*i**2 + 30*i - 9. Let b be f(9). Let a = b + -180907/60. Calculate the common denominator of 25/24 and a.
120
Let f = 62051/9798 + 1/3266. Find the common denominator of f and 169/42.
42
Suppose -4*w = -v - 12, -3*w = v - 0*w - 16. Let m(j) = j**2 + 8*j - 4. Let o be m(-8). Calculate the smallest common multiple of 8/(((-8)/(-6))/(o + 6)) and v.
12
Let u = 1301763/2594 - 11/3891. Let d = u - 499. Find the common denominator of 23/15 and d.
30
Calculate the common denominator of (-13460)/990 - (-18 - (-15 + 11)) and (-2)/(-3) - 19/(-81).
891
Suppose x + 4*t - 446 = -3347, -14475 = 5*x + 5*t. Let i = x + 28953/10. What is the common denominator of 176/12*1/(-6) and i?
90
Let i(r) = -5*r + 761. Calculate the lowest common multiple of i(19) and 2.
666
What is the common denominator of 226/(-791)*805/(-14450) and 69/578?
2890
Let l = -6999583/60 + 116657. Find the common denominator of l and -81/110.
660
Let f be 1*(-3281513)/(-240) - (-7)/(-35). Let w = f + -13670. What is the common denominator of -49/66 and w?
528
Let g = 524106 + -421905276/805. What is the common denominator of 64/1449 and g?
7245
Suppose 0 = 5*o + 2*v - 4308, 2*v - 4245 = -5*o + 7*v. Calculate the lowest common multiple of o and 66.
858
What is the common denominator of (-42)/(-9) - (-36)/(360/(-50)) and -55/527?
1581
Let w = 1471 + -1366. Calculate the smallest common multiple of w and 18.
630
Let q = -18 + 17. Let u = -37/264 - 767/264. Find the common denominator of (-201)/18*q - 3 and u.
66
Let w(s) = 126*s - 370. Calculate the smallest common multiple of w(3) and 3558.
14232
Let x(v) = 278*v + 5314. Let b = 2 - 0. Calculate the least common multiple of x(-19) and b.
32
Let l = -179200 + 49459189/276. Let k = -20319 + 487565/24. Calculate the common denominator of l and k.
552
Suppose -2*s = 2*j + 426, -2*s - j - 4*j - 441 = 0. What is the common denominator of 2/(-2)*332/s and 4 + (-4)/1 - 249/(-54)?
468
What is the smallest common multiple of 123 and ((-36)/(-8) + -3)/(7375/(-2460) + 3)?
738
Let o(v) = v**3 + 5*v**2 - 18*v - 80. Let s(b) = b - 10. Let r be s(6). Calculate the lowest common multiple of o(-5) and (r/(-10))/((-1)/(-10)).
20
Suppose 305*r = 308*r - 657. Let i = 301 - r. Calculate the smallest common multiple of i and 8.
328
Suppose -2*x - 43 + 163 = 4*g, -6 = -