8. Let g = -1703/51 + 154/17. Calculate the common denominator of v and g.
12
Find the common denominator of 308/590 + (-4)/(20 + -12) and -34/59.
590
Suppose 0 = 5*n + 3*t - 79353, 63504 = 4*n - 2*t - t. Let j = n - 3142897/198. What is the common denominator of 47/14 and j?
1386
Let z = -1723/3 + 564. Let h be ((-60)/(-40))/((-6)/8). What is the common denominator of z and (-184)/(-64)*(h - (-12)/3)?
12
Let s(y) = -5*y**2 + 2 + 15 + 2 - y**3 - 7 + 2*y. Let g be s(-5). What is the least common multiple of g*6 + 0/(-5) and 6?
12
Let n = -26719 - -26761. What is the smallest common multiple of 2826 and n?
19782
Suppose -2*f = 19*f - 168. What is the lowest common multiple of 336 and f?
336
Let l = -138303/10 - -13819. What is the common denominator of 31/2696 and l?
13480
Let b(t) = -t**2 - 18*t + 144. Let k be b(6). Let c = 113 + -80. What is the least common multiple of c and 7 + (-1 - k) + 2?
264
Calculate the smallest common multiple of (-4 - (0 - (-741)/(-52))) + (-1)/4 and 811.
8110
Let y = -6719 + 7087. What is the lowest common multiple of y and 52?
4784
Let i be 2 - (2*-11 + -2). Let t = 282 - 261. Suppose -i*o + 23*o = -t. What is the smallest common multiple of 3 and o?
21
Let o(v) = -3*v + 3. Let c be o(7). Suppose 21*w - 776 = 694. Let r = c + w. Calculate the least common multiple of 6 and r.
156
Let i = 9019 - 514114/57. Let c = -3532007/6 - -594752. Let m = -6063 + c. What is the common denominator of m and i?
114
What is the lowest common multiple of 131/8 + 195/312 and 16?
272
Suppose 7*o - 5*o - 1236 = 0. Suppose -258 + o = 5*t. What is the least common multiple of 18 and t/3 - ((-3)/1 - -3)?
72
Let a(t) = -79*t**3 + 1. Let o be a(-1). Suppose 11*j + 11*j - 18*j = 0. Suppose -3*g - g + o = j. What is the least common multiple of g and 10?
20
Let r = -262250/56927 - -5024701186/1083605445. Let n = r + 2/3807. Find the common denominator of 7/20 and n.
260
Calculate the common denominator of -5 + 868/48 + 0 + -5 and 4/3 + 2/((-440)/610).
132
Suppose 0 = -5*s + l + 17, -4*s + 6*l + 18 = 3*l. Let k be s - (-2 - 2) - 3. Suppose k*j + 23 - 87 = 0. Calculate the lowest common multiple of 8 and j.
16
Let r(j) = -2*j**3 - 70*j**2 - 129*j + 96. Let o be r(-33). Suppose 1 + 2 = x. Calculate the lowest common multiple of 10 and 4 - (o - (x + -2)).
40
Suppose -3*a + 8*a = 25. Suppose -4*o + 110 = 2*c, 0 = -a*c + 10*c - 5. Calculate the least common multiple of o and 30.
270
Let o = -1993861/42 + 47476. Find the common denominator of 67/255 and o.
3570
Suppose -240 = -5*h + 6*h - 2*p, 0 = -3*h + 5*p - 715. Calculate the common denominator of 35/6 and 0 - -2 - h/(-45).
18
Let h(s) = s**3 - 15*s**2 - 88*s + 1242. Let k(y) = y**3 - 14*y**2 - 16*y + 21. Calculate the smallest common multiple of h(16) and k(15).
90
Let x be (4/(-3) + 1)*(-23 + 2). Suppose 8*o - 25 = x. Suppose -3*i + 5*z = -0*i - 513, o*i + z - 661 = 0. What is the smallest common multiple of 16 and i?
1328
Let t be 5/(-290)*(-3)/(144/17372). Let y = t + -274/29. Find the common denominator of 121/30 and y.
120
Suppose -4 = -4*q, -3*v + 5*q + 87 + 16 = 0. Let t = 34 - v. Calculate the common denominator of 1208/(-252) + t/(-9) and 99/2.
14
Let k = 553 + -535. What is the common denominator of (k/168)/((-5)/65) and -125/18?
252
Suppose -5*o - 4*q = -236, -3*q + 4 = -2*q. Let h = -133 + 193. Let t = h - 52. Calculate the lowest common multiple of o and t.
88
Let o = 186 + -174. Suppose 68 = 8*g + o. Suppose 2*p - 30 = -p. Calculate the least common multiple of g and p.
70
Let n = -138 - -132. Find the common denominator of 65/6 and ((-59)/n)/((-15)/(-45)).
6
Suppose 2*v = -0*v - 2, 2*v + 8 = 2*g. Let d be (-10)/(471/(-236) + -1 + g). Let n = d + 132201/56. Calculate the common denominator of -21/10 and n.
280
Suppose 7*l = 2*l + 170. Suppose -11*r - 2*d = -6*r - l, d - 2 = 0. Calculate the lowest common multiple of 2/2 + (-11)/(-1) and r.
12
What is the common denominator of 340089/61818 - 3 - (4 - 21/14) and 19?
10303
Suppose -2*b + 3*l + 81 = 0, -6*b = -2*b + 3*l - 153. Suppose -28*t = -15*t - b. Calculate the least common multiple of t and 93.
93
Suppose 5*j - 14*j = -36. Let l(g) = -g**3 + 7*g**2 - 5*g + 1. Let v = -65 - -67. What is the lowest common multiple of l(v) and j?
44
Find the common denominator of (-5)/10 - 100825/(-192750) and -35/27.
34695
Let m be (8 - 5) + 2 - (-15395548)/221. Let j = -69668 + m. Calculate the common denominator of j and 57/8.
1768
Suppose -4*m + 4 = -12. Suppose -m*q - 93 = 51. Calculate the common denominator of (-4)/(-1) + (-9)/q and 149/18.
36
Suppose 0 = -d - b + 2657, -4*d = -18*b + 10*b - 10688. Calculate the lowest common multiple of d and 242.
2662
Calculate the common denominator of (-1)/((-3172)/(-12805)) + (7 - 3) and -51/244.
244
Let r(n) be the third derivative of -n**6/60 - n**5/30 + n**4/3 + n**3/2 + 146*n**2. Calculate the lowest common multiple of 27 and r(-3).
135
Suppose -4*c = -h - 21, -3*c = 5*h - 10 - 0. Calculate the least common multiple of 6 and (-6 - (-16 + 5))*21/c.
42
Let d(x) = -1090*x**2 + 16*x - 34. Let o be d(3). Let k be (-1472575)/(-20)*2/15. Let a = k + o. What is the common denominator of 37/174 and a?
174
Let a be (111 - 104) + (-7058)/1010. Let l = -1350395358 + 10911194532631/8080. Let c = a - l. Find the common denominator of -85/2 and c.
16
Let t(q) = -6*q**2 + 34*q + 35. Let d be t(6). Suppose 0 = -16*z - d*z + 780. What is the smallest common multiple of z and 100?
100
Let a(q) = -2*q**3 - 27*q**2 - 6*q - 243. What is the lowest common multiple of 27 and a(-15)?
1566
Suppose -15*h = -18*h + 159. Let y = 56 - h. Suppose -y*j = -4 - 44. Calculate the least common multiple of j and 12.
48
Let p be 18/(-12)*14/(-3). Let a(x) = -6*x - 98. Let n be a(-19). Suppose -l - n = -5*b, -3*b - 3*l = -p*l + 4. Calculate the lowest common multiple of b and 6.
12
Let k(i) = 5*i + 34 - 3*i + 2*i + i**2. What is the least common multiple of 11 and k(0)?
374
Let n(k) = -5*k**2 - 21*k + 20. Let q(h) = -h**2 - h. Let j(l) = -n(l) + 6*q(l). Calculate the least common multiple of 21 and j(13).
42
Suppose -4*c - 5*b + 5850 = 0, -31*b = -2*c - 28*b + 2892. What is the lowest common multiple of 15 and c?
1455
Suppose 171*w - 120 = 131*w. What is the lowest common multiple of w and 489?
489
Let o = -338 - -566. Let u = -178 + o. What is the least common multiple of u and 5?
50
Calculate the common denominator of (720/28)/6 + -7 and 40/57.
399
Let t = 401 - 872. Let o = 4228/9 + t. Calculate the common denominator of (-22)/1155*7 + 524/(-270) and o.
27
Let m be (57/38)/((-3)/4). What is the least common multiple of (8/(-4))/m + (-35)/(-7) and 22?
66
Suppose -163*q = -168*q. Calculate the least common multiple of 22 and (1 + q)*50 - (-5 + 0).
110
Let m be (-4 - -5)/(2/(-352)). Let o be 32/m - (-2776)/22. What is the common denominator of 827/o - (-20)/90 and -81/10?
70
Suppose 76 = 10*m - 44. Suppose 2*c + 9*c - 44 = 0. Calculate the least common multiple of m and c.
12
Calculate the common denominator of -19/18 and (1 - 34723/6812) + 4.
4716
Let s = 1482/47 - 666947/21150. What is the common denominator of s and 52/255?
7650
Find the common denominator of -61/718 and 66248/(-84006) - (-16)/18.
718
Suppose 3*o + 356 = -5*s, -16*o + 12*o = -3*s + 494. Calculate the common denominator of o/(-76)*66/132 and -41/32.
608
Let v(m) = m**3 + 11*m**2 + 29*m + 117. Let o(w) = w**2 - 31*w + 215. Let y be o(11). What is the smallest common multiple of 18 and v(y)?
1098
Let m = -846565/33 + 25651. What is the common denominator of -131/1206 and m?
13266
Let o(a) = 2*a**2 - 5*a - 3. What is the lowest common multiple of o(4) and ((-23)/(-87) - (4305/(-609) - -7))*444?
1332
Let q be (1 - 4/28)/((-2)/(-14)). Suppose 15 = -5*l, 3*d - q*d - 5*l + 894 = 0. Calculate the lowest common multiple of 6 and d.
606
What is the common denominator of 11/2646 and ((-310)/(-7056) - 0)*(-44 - (-5712)/126)?
2646
Let i = -656 - -653. Calculate the common denominator of -2/11 and (31/10 - i) + -5.
110
Calculate the least common multiple of 1724 and (13 - (-1778)/(-42))*((-45)/6)/5.
18964
Suppose -5*s + h = 45, -4*s = 3*h + 22 - 5. Calculate the common denominator of (2*(-2)/s)/(77/(-99)) and -97/8.
56
Let l be (6/(-567))/(2*(-4)/(-314616)). Let p = l + 1252/3