 Find the common denominator of 666/45*(-120)/9312 and b.
1358
Suppose -4*k + 2*z - 102 = 0, 0*k - 54 = 2*k - 2*z. Let x be 163/2*(-6 + 4). What is the common denominator of 6/k + x/(-52) and 37/8?
104
Let h(z) = -z + 1. Let x be h(-4). Suppose 21 = -x*m + 6*m. Suppose 5*o = -f + 26, 3*o + 12*f - 12 = 15*f. What is the smallest common multiple of o and m?
105
Suppose -s = -13 + 10. Suppose 4 = -s*a - 8. Let q(n) = 3*n**2 + 7*n - 2. Calculate the least common multiple of q(a) and 1.
18
Let a = -35233/4 + 5757961/654. Let z = -81865/109 + 751. Let j = z + a. Calculate the common denominator of -57/22 and j.
132
Suppose q = 2*g + g - 179, -2*g + 856 = -5*q. Let x = q - -879/5. Let y = 163225/12 + -13592. What is the common denominator of x and y?
60
Let h = 93785/98 - 957. Let j = -439/196 + h. Find the common denominator of j and 55/26.
52
Let h(z) = 185*z**2 - 3*z + 2. Let a be h(1). Let f = 1248/7 - a. What is the common denominator of 370/(-55)*-1*5/(-10) and f?
77
Calculate the lowest common multiple of 27 and (35/(140/(-2868)))/((-1)/2).
12906
Suppose 3*v - 277 = 4*f, 5*v + 317 = 13*f - 17*f. Let k = 77 + f. What is the smallest common multiple of 1/2*(2 - -2) and k?
4
Calculate the least common multiple of 234 and ((4 - 10) + 58)/((-152)/(-74) + -2).
8658
Suppose 3021*s - 3025*s + 636 = 0. What is the lowest common multiple of s and 4?
636
What is the smallest common multiple of 9 and (-3 - -21*(-5)/(-30))*218?
981
Let p(n) = n**2 - 4*n + 4. Let g be p(4). Suppose 0 = g*d - 11*d - 28. Find the common denominator of -17/2 and d/(-14)*(-425)/(-450).
126
Calculate the smallest common multiple of 42 and 751 + 10/5*-8.
1470
Suppose 5*z = 15 + 25. Let k be 2 + 13/5 + 39/(-65). Suppose -h + 3*j + 40 = 0, -53 = -k*h - 3*j + 167. Calculate the smallest common multiple of h and z.
104
Find the common denominator of (3/(-4))/((-2289)/8066) and (-34)/35 + (-28)/(-70).
14
Let x be (-11)/((-220)/10)*(0 - 12). Calculate the least common multiple of 1 + 3/x*-10 and 3.
6
Calculate the common denominator of (3 - 96/36) + 2 + (-526)/165 and 1/50.
550
Let j(c) = -618*c - 2426. Calculate the smallest common multiple of j(-6) and 14.
8974
Let i be (-34888)/(-24)*6/(-8). Let u = i + 1098. Let h = -27613/2465 - -331/29. Find the common denominator of u and h.
340
Let s be (4 - -3 - 0 - 3) + 1. Suppose 5*k - 5*w - 85 = 5, -s*k - 3*w + 90 = 0. Calculate the lowest common multiple of k and 15/((-225)/(-595)) + (-1)/(-3).
360
Let f(w) = 2*w**2 + 4*w - 4. Let g = -3 + -1. Suppose 235*c = 204*c + 620. What is the least common multiple of c and f(g)?
60
Suppose -976 = -2*t + 78. Suppose 555 = -522*j + t*j. Calculate the lowest common multiple of 18 and j.
666
Suppose -4*n = -8*n - 280. Calculate the common denominator of (-63)/(-22) + (3 - 2) and 40/(-140) + (-503)/n.
110
What is the common denominator of (-5)/(-2)*-9*(-1590)/6750 + -8 and 1163/3120 - 2/5?
3120
Let k = -4135135/78 + 53013. Find the common denominator of 49/6 and k.
78
Let g be (-2)/4 + 788/8. Let t(k) = -28*k - 48. Let n be t(-2). Suppose -d + n*d = g. Calculate the lowest common multiple of 16 and d.
112
Find the common denominator of (86/66 - 2)*56/9352 and 41/3.
5511
Let p = -14724 - -14820. Suppose -5*r + i + 0*i + 71 = 0, 4*i = r - 18. What is the lowest common multiple of p and r?
672
Suppose 3665 = 45*m - 17*m - 8319. Calculate the lowest common multiple of m and 8.
856
Suppose -21*u - 36 = -23*u - 4*d, -4*u - 5*d + 54 = 0. Calculate the least common multiple of u and 30.
30
Let i = -7875 + 94441/12. What is the common denominator of i and 108/22*8/12?
132
Suppose 0 = 4*w + 6*w - 20. Suppose -76*m + 3 = -75*m. Calculate the common denominator of 17/18 and w/(-6) - m*93/702.
234
What is the lowest common multiple of 423 - (-15)/(-4 - -1) and 8?
1672
Let l = -150/163 - -509/1793. What is the common denominator of l and 48/25?
275
Let g(l) = l**3 - 4*l**2 + 3. Let o be g(-4). Suppose 11*h - 8*h + 4*x - 7 = 0, -4*h - 5*x + 8 = 0. Find the common denominator of h*(-5)/o*26/(-3) and 8/11.
275
Let r = 182 + -110. Calculate the lowest common multiple of r and (-5)/15*0 - -21.
504
Suppose s - 2*s + 15245 = 0. Let a be (63514/495)/(4/(-475)). Let k = s + a. Calculate the common denominator of k and 79/6.
18
Let u = 37 + -31. Suppose -u = r - 8. Suppose -3*d - q + 47 = 0, -3*d + 49 = q - r*q. Calculate the least common multiple of d and 16.
16
Let b = -4152875/9 - -461428. Suppose 4*q - 59 - 109 = -2*w, 0 = -2*w. What is the common denominator of b and ((-88)/q - 1) + 1?
63
Let d = -4291510087/43400 - -692179/7. Calculate the common denominator of d and -121/5580.
55800
Let j = 16381/12840 - 1/1284. Calculate the common denominator of j and 0/(-3) - (-162)/(-44).
440
Let r = 120447 - 481723/4. Let h = -1220090/73 - -16713. Find the common denominator of h and r.
292
Suppose -142664 + 2125532 = -6*r. Let m = r - -1959511/6. Let u = m - -3881. Find the common denominator of u and -5/8.
24
Let o = -423 + 418. What is the common denominator of -1 - (-3 - (-258)/28)/o and -39/70?
70
Suppose 397 - 19 = 3*c. Let s = -102 + c. Suppose -2*i = -i - s. What is the common denominator of 71/15 and i?
15
Let m be -102*(42/(-18) + 9/3). Let a = -44 - m. What is the smallest common multiple of 11 and a?
264
Calculate the common denominator of -49/2334 and 15 - (-4197)/(-144) - (-15 - -4).
18672
Suppose 10*w = 170 + 490. Suppose 64*z = w*z - 8760. Calculate the common denominator of z/(-264)*(-2)/(-10) and -75/8.
88
Find the common denominator of -6*((-1448)/(-160) + -9)*1/50 and 17/15.
1500
Let h(i) = i**3 - 6*i**2 - 5*i - 8. Suppose 3*f - 9 = -4*q, -1 = 4*q + 11. Let j be h(f). Suppose -j = -l - 1. What is the lowest common multiple of l and 5?
5
Let h(g) = g**2 - 30*g + 248. What is the smallest common multiple of h(10) and 60?
240
Suppose -54*l + 50*l = 2804. Calculate the common denominator of -15/14 and l/144 - (-4)/(-9).
112
Let m = 505 + -659. Find the common denominator of (3/(-4))/(m/792) and 27/14.
14
Let a = -1598 - -4038144/2527. Let l = -116252/12635 - a. Find the common denominator of l and -22/7.
35
Let v = -2050 + 30769/15. Calculate the common denominator of -62/915 and v.
915
Suppose -26*r + 49 = p - 21*r, 2*p - 23 = 5*r. Calculate the common denominator of ((56/6)/(-2))/9 and 95/20 + 8/p.
108
Let f = -15757 + 17665. Calculate the lowest common multiple of f and 1696.
15264
Calculate the smallest common multiple of 1159 and (9/(-6) + 2)*(23 - 11).
6954
Let j = 217265/7 + -62083/2. Find the common denominator of j and (-16)/(-56) - 1207/(-210).
210
Let j = -1653457/50 + 33068. Calculate the common denominator of j and 2/(-6) - 2*(-131)/(-240).
200
Suppose -608 = -20*g + 32. Suppose -5*j + 4*h = -g, 3*j = 5*j + 5*h - 26. What is the least common multiple of j and 38?
152
Let w = -6/455 + -2731/6825. Calculate the common denominator of w and (-3 - (-836)/288)*9888/(-448).
1200
Let y = -42 - -45. Suppose -146 = -5*r - 2*t, 0 = r + r + y*t - 54. Calculate the lowest common multiple of 2 and 4844/105 + (-4)/r.
46
Suppose -7 = 4*c - 31. Let k(y) = 2*y - 5. Suppose x + 3*t - 8 = 0, -2*x = -4*t - 13 + 7. What is the lowest common multiple of x and k(c)?
35
Let v = 634807/420840 - 1/10521. Calculate the common denominator of ((-7)/((-945)/(-10)))/((-32)/(-366)) and v.
360
Let a = 2896/29 - 1600618/16037. Calculate the common denominator of 47/42 and a.
3318
Let n = -2810 + 991. Find the common denominator of ((-3)/21)/(374/n) and 33/28.
308
What is the common denominator of 83/1344 and (592/3360)/(-37)*627/(-12)?
6720
Let f = 407 - 403. Suppose 0 = 4*u - h + 2*h - 27, -5*u + 60 = -f*h. What is the smallest common multiple of 56 and u?
56
Let n be (2/(-6))/((-3)/(-207)). Let p = 53 + n. Let h = 49 - p. Calculate the least common multiple of h and 4.
76
Let s(l) = -l**3 + 2*l**2 + 9*l - 10. Let j be s(-5). Suppose -10*z - j = -18*z. Calculate the smallest common multiple of ((-6)/(-9))/((-2)/(-99)) and z.
165
Let q = 104137/33390 + 4/16695. Let o = -2/8367 + 119951/100404. Calculate the common denominator of q and o.
252
Suppose -2*z + 5*g + 32 = 0, -2*z - 3*z = 3*g - 18. Suppose 2*f = -z + 8. What is the least common multiple of (-7 + 1)*3/(-6)*f and 3?
3
Suppose 881*x = 954*x - 191698. Calculate the least comm