the lowest common multiple of k and 69.
690
Suppose -5*j = 2*j - 245. Let g = -24 + j. What is the common denominator of 7 - g - (-350)/48 and 41/20?
120
Let b(r) = 31*r**2 - r. Let p be b(1). Suppose -35*f + p = -34*f. What is the least common multiple of 12 and f?
60
Suppose -98*i + 22675 = 4*i - 25061. Calculate the smallest common multiple of 12 and i.
468
Let z = 87952359/560 + -157058. Calculate the common denominator of z and 155/168.
1680
Find the common denominator of -57/44 and (-3562)/(-2080) + 1/(-2).
880
Let w = -8320 + 157872/19. Let t = w + 2030/57. What is the common denominator of t and -45/83?
249
Let f be 54*((-30)/4)/(-3). Suppose -109*p + 100*p + f = 0. What is the smallest common multiple of p and 2*4*15/4?
30
Let i = -452349635/166254 - -35/27709. Let n be ((-129)/2)/((-2)/(-84)). Let r = n - i. What is the common denominator of r and -113/6?
6
Calculate the lowest common multiple of 32 and ((-440)/(-20) - -10)*(-4)/(4/(-5)).
160
Calculate the smallest common multiple of 56 and ((-7938398)/(-156))/101 - ((-1)/6)/1.
504
Suppose -5*j - 3*x + 5278 = 0, 0 = -5*j + 462*x - 461*x + 5254. Calculate the smallest common multiple of 224 and j.
58912
What is the common denominator of (92/(-176))/((-17)/(-68)) and 43/173?
1903
Let o = -168061/115360 - 1/3296. Find the common denominator of 54/(-486) + (-923)/(-450) and o.
350
Suppose 2*j - 3*p = 180, 45*j - 46*j = p - 95. What is the least common multiple of 155 and j?
465
Suppose 2*l - 4*x - 202 = 0, 0 = 157*l - 153*l - 5*x - 392. What is the smallest common multiple of l and 489?
15159
Suppose -3 - 24 = -d. Find the common denominator of (-8)/24*318/(-80) and (14/4)/(d/(-12)).
360
Let k = -41 + 43. Suppose 0*c = -k*c. Suppose -4*v - 30 = -a - c*v, 2*v + 114 = 5*a. Calculate the least common multiple of a and 58.
638
Suppose -5*s + 115 = 5*y, 3*y - 3*s - 69 + 6 = 0. Let l = -711 + 729. Calculate the smallest common multiple of y and l.
198
Let q be (-17)/((3/3)/(-9)). Suppose 3*o + q = 6*o. What is the lowest common multiple of (11 - (-5)/(0 + 1))/2 and o?
408
Let l = -73 + 87. Let b be (-14)/(-147)*-3 + (-696)/l. What is the common denominator of (-870)/(-16)*(-20)/b and 97/26?
52
Suppose 375*j = 348*j + 7506. Calculate the least common multiple of j and 82.
11398
Let y = -61011 + 61016. Suppose 2*t - 80 = -3*t. Suppose 0 = -2*d + 4 + t. What is the smallest common multiple of y and d?
10
Let m be (-3)/(-12) + 9557/76. What is the lowest common multiple of 32 and (432/m)/(1 + 5/(-7))?
96
Let c = 21 + -19. Suppose u + w = c*u - 11, u - 5*w - 7 = 0. Suppose 12*m - 4 = 284. Calculate the lowest common multiple of m and u.
24
Calculate the lowest common multiple of 8 and 1705/(-44)*1*(94 - -2)*-2.
7440
Suppose 784*x - 82302 = 755*x. Let a = 970414/9 + -104978. Let j = a - x. Calculate the common denominator of j and -37/27.
27
Suppose 123*v - 126*v + 7593 = -2*k, 0 = 4*v + 2*k - 10096. Calculate the least common multiple of v and 1805.
12635
Let f(j) = -29*j - 93. Let r be f(-8). Suppose 13*a = r + 147. Let g = -18 + 34. What is the least common multiple of g and a?
176
Let m be 9 + 364/(-42) + (-348970)/2588988. Let h = m + 9/10924. Find the common denominator of h and -1/18.
2844
Suppose -2*g = 3*s - 79, 84 = 3*s - g + 4*g. What is the common denominator of -43/7 and s/(-46) + 64/(-3)?
42
Calculate the least common multiple of 44 - (4/(-14) + 2625/(-245)) and 3115.
34265
Find the common denominator of (18/(-8))/(4/6*(-2268)/(-1638)) and 43/53.
848
Suppose 21*r - 306 = 870. Suppose v - 8 + 4 = 0. Suppose -q - v = -2*q. What is the smallest common multiple of r and q?
56
Let i = -21130 - -25562. What is the least common multiple of i and 8?
4432
Let h = -367 - -457. Let b be (-1094)/(-5) + 3/15. What is the common denominator of (b/21)/(h/21) and -11/9?
90
Suppose 10120 + 20739 = 7*s + 6331. Calculate the least common multiple of s and 144.
10512
Let z be (-134)/(-26) - 112/728. Suppose -10 = -0*i + 5*i, z*i - 70 = -5*s. Calculate the lowest common multiple of 80 and s.
80
Let u(h) = -h**3 - 2*h**2 - 9*h + 143. Calculate the smallest common multiple of u(0) and 78.
858
Let o be 4/(-5)*(-60)/12. Suppose 0 = 5*f - 4*a - 74, f - o*a - 20 = -f. What is the smallest common multiple of f and 1/1 - (2 - 5)?
36
Let o = 24 - -142. What is the common denominator of -71/22 and (o/9)/((-56)/42)?
66
Let c be 2 - 6/(-3) - 214. Calculate the common denominator of 6/(-5 - -2)*c/(-12) and -41/8.
8
Calculate the least common multiple of -45*(-156)/220 + (-4)/(-44) and ((-6)/4)/((-3)/160).
160
Let t(m) = 3276*m - 62. Let y be t(-2). Let b = y + 145593/22. What is the common denominator of -95/426 and b?
4686
What is the common denominator of -111/352 and (-6422)/(-270400)*10/(-44)?
3520
Suppose 0 = 5*x - 4*x - 2*m - 37, -x + 35 = -m. Suppose -900 = -23*i + 204. Calculate the smallest common multiple of i and x.
528
Let r be 56*7/(-112)*-4. Calculate the common denominator of 123/(-72) - 2/(r/(-35)) and 95/22.
264
Suppose 0 = -84*n + 37292 + 60988. Calculate the least common multiple of 5 and n.
1170
What is the common denominator of ((0 - 4)/20)/((-138)/6969) and -43/640?
640
Suppose 0*b + b = 104. Suppose -5*r + 705 = 4*y - 8, 5*y - 904 = -2*r. What is the smallest common multiple of y and b?
728
Suppose -294 = -5*l - 2*l. Suppose 5*v - 2 = -l. Calculate the lowest common multiple of (4 + -10 - v)/(2/6) and 2.
6
Let v be 26 + -22 + 2/320666*-463583. Let g = 1/13942 + v. What is the common denominator of 79/24 and g?
552
Let j = 40 + -43. Calculate the lowest common multiple of (-36)/((27/j - -4) + 3) and 4.
36
Suppose 8*s - 7 = 7*s. Suppose 4*j + 2 = 10. Calculate the smallest common multiple of 21/49 + 67/s and j.
10
Let g(l) = -6*l**3 + 36*l**2 + 3*l - 6. Let u be g(6). What is the common denominator of (-150)/u*12/(-21) and -7/10?
70
Let r = -1485666457/306 - -4855114. Let q = r + 37/102. Find the common denominator of -37/3 and q.
9
Let g(s) = -2*s**3 - 5*s**2 - 2*s - 1. Let z = 28 - 24. Suppose 23 - 11 = -z*q. What is the smallest common multiple of 4 and g(q)?
28
Suppose 5*x - 50 = -2*t - 3*t, 23 = 2*t + 3*x. Suppose -3*w - 2*q = -56, 3*q = -3*w + 4 + 53. What is the lowest common multiple of (36/t)/((-12)/(-42)) and w?
18
Suppose -27*b + 26*b + 6686 = -5*o, -3994 = 3*o - 5*b. Let n = 1530 + o. Let a(t) = -t**2 + 10. What is the lowest common multiple of a(0) and n?
960
Let m = -2/23359 - -304201/6236853. Find the common denominator of 8/2403 and m.
2403
Let r = 89481227/504 - 177542. Calculate the common denominator of -87/728 and r.
6552
Suppose -43*q + 27*q + 432 = 0. What is the smallest common multiple of 6159 and q?
55431
Let q = 29734 + -29726. Let u be 2/5*150/(-3). What is the lowest common multiple of q and 2/(-10) + (-324)/u?
16
Suppose 104 = -3*u - 2*d, 5*d + 23 = 3. Let v = 4411/1146 - 3/191. Calculate the common denominator of (244/u*-4)/(11/1) and v.
66
Suppose 0 = n + 4*n. Suppose -2*f + 5*r = 6 + 5, -5*f + 3*r + 1 = n. Suppose 159 = 17*c - 45. What is the smallest common multiple of f and c?
12
Let n = -274 + 274. What is the smallest common multiple of 106 - 23 - (n + -1) and 70?
420
Let i be 45/(-75) - ((-22521)/10 - -3). Let r = 1446 + -3652. Let o = r + i. What is the common denominator of 77/36 and o?
36
Let f(h) = 3*h**3 - 5*h**2 + h - 9. Let b be f(-4). Calculate the common denominator of 83/(-6)*(-4)/(-8) and (4/(-18))/(50/b).
60
Let d be 8 - (-205)/(-25) - 88/10. What is the lowest common multiple of 196 and d/((-108)/112)*3?
196
Suppose -6*a - 933 = -9*a - 5*b, -5*a = b - 1599. Let z(y) = 10*y - 3. What is the smallest common multiple of z(3) and a?
2889
Let i be -1 + (-75)/(-11) + 6/33. Suppose 0 = a - 3*t + i, 0*t - t = -3*a - 34. Calculate the common denominator of 121/20 and (-2)/a - (3 - 173/36).
180
What is the common denominator of 121/84 and 2 - 6 - 11865/(-10584)*4?
252
Let r(t) be the first derivative of t**2 - 12*t + 7. Let h be r(7). Find the common denominator of 36/5 and -1 + 195/(-12) + h.
20
Let y = 13156747/465 + -84881/3. What is the common denominator of 0 - (-24 - -22)*2/(-7) and y?
1085
Suppose -6*t - 1 = -139. Suppose l = -k + 25, -25*k = -26*k - 2*l + t. What is the smallest common multiple of k and 36?
108
Let m be 912 - (-18)/(0 - -6). Let 