.
346
Suppose 0 = -7*u - 0*u + 14. Suppose -5*p = -3*q - 6, -u = -2*q + p - 6. What is the common denominator of -103/12 and (q/(-24))/(1/(344/(-6)))?
36
Calculate the common denominator of (3 + 65)*(-32)/(-696)*(-6)/(-80) and 27/203.
1015
Let x = -185783/34888 - -261/49. Find the common denominator of x and -101/20.
3560
Let v = 480 + 396. Suppose 16*b - v = -300. Calculate the least common multiple of 33 and b.
396
Let q be 54/270 - -314*(-2)/(-10). Suppose -q = -3*i - j, 6*i - i - 3*j = 91. Suppose -g - i = -40. What is the smallest common multiple of g and 8?
40
Suppose -15*g - 23*g + 2160 = -8*g. Suppose -12*c + 135 = -9*c. What is the smallest common multiple of g and c?
360
Calculate the smallest common multiple of ((-3924)/1526)/(6/(-1736)) and 496.
1488
What is the least common multiple of (-32)/(-50)*-9*15*20/(-3) and 1440?
2880
Let n(y) = -2*y**3 - y**2 + 2*y + 1. Let w be n(-2). Let v = -148 + 147. Find the common denominator of (2 - 5) + v + w/7 and 38/11.
77
Suppose 2*a + 3*t + 16885 = 0, 0 = -12*a + 15*a - 5*t + 25280. Let j = -135007/16 - a. Calculate the common denominator of -41/64 and j.
64
Let j = -11271 + 30242/3. Let z = 2345/2 + j. Find the common denominator of z and -39.
6
Suppose -26*a + 34 + 434 = 0. Suppose a*m = 20*m - 90. Calculate the least common multiple of m and 12.
180
Let f(k) = -k**3 + 16*k**2 + 14*k - 21. Let i be f(17). Calculate the lowest common multiple of (-2)/9 - 304/i and -3 + 19 + (1 - 1).
16
Suppose 7*y - 260 = 454. Find the common denominator of 377/264 - (y/18 - 5) and -41/64.
704
Let g = 178111/16 - 11137. Let b = -27626631/14 + 1972438. Let h = -893 - b. Find the common denominator of h and g.
112
Suppose 766*u - 763*u - 93 = 0. What is the smallest common multiple of 24 - u - (-322)/2 and 10?
770
Calculate the common denominator of 16653/2952 + 4/(-6) + (123 - 128) and 43/44.
10824
Suppose -18*a = -7 - 29. Suppose -52 = -4*z - 4*l + 8*l, -5*l + 19 = a*z. What is the smallest common multiple of 15 and z?
60
Let r(o) = 368*o + 11. Let y be r(11). Suppose -y = -5*k - 819. Calculate the common denominator of -139/36 and (-1)/4 + 618/k.
108
Let j be 2 - (-354)/867*-5. Let p = j - -16241/22253. What is the common denominator of p and -54/121?
847
Let o be (-110443880)/(-136059360) - (3/(-4))/(-1). Let b = o - 2/5217. Let h = -11773/3260 + b. What is the common denominator of h and 1/12?
60
Suppose -4*y + 10 = w, -5*w + 0*w + 114 = 4*y. Let h = 4389 - 4367. What is the smallest common multiple of h and w?
286
Suppose -32*z + 129*z + 15*z - 7056 = 0. Let h = -23 + 121. Calculate the lowest common multiple of h and z.
882
What is the lowest common multiple of (688/602)/(2/42) and 14?
168
Let q(m) = -5*m**2 + 3*m + 31. Let k be q(6). Let a = 155 + k. What is the lowest common multiple of 27 and a?
216
Let w = -15 + 27. Let s(b) = -b**3 - 58*b**2 + 395*b - 12. Calculate the lowest common multiple of w and s(6).
108
Let z(m) be the first derivative of m**2 - 9*m + 3. Let a = -2304 - -2308. What is the smallest common multiple of a and z(9)?
36
Let n be 29/(-4) + -10*(-6)/48. What is the common denominator of (n/18*-2)/((-72)/294) and 19/90?
90
Let n(a) = -23*a**3 + 2*a. Suppose 3*i = 3*q - 10 + 1, -4*q - 3*i = 23. Let k be n(q). Calculate the least common multiple of 4 and (k/(-75))/((-3)/190).
152
Let d(c) = -114*c - 10. Let m be d(3). Calculate the common denominator of 37/12 and (-21)/14*m/(-126).
84
Suppose 7*d + x = 12*d - 3581, -4*d = -4*x - 2868. Let p = d + -598. Calculate the lowest common multiple of 16 and p.
944
Let f be (-69)/(-4) - (-1 - (-20)/16). Suppose 0 = s + 7 + f. Let y = s - -26. Calculate the lowest common multiple of 5 and y.
10
Let i be ((-12)/(-14))/((-18)/252). Find the common denominator of -89/8 and 29/20 + 0/i.
40
Let i = -154 + 90. Suppose 28 - 46 = -3*s. What is the common denominator of s and (273/52)/((-18)/i)?
3
Suppose 14 - 14 = 3*w. Suppose -3*i = -5*n - 1, 0 = -2*i + 5*n - w*n - 1. Calculate the lowest common multiple of (13 - 10)*i/3 and 8.
8
What is the common denominator of (181/(-166) - 2) + (6 - 2) + -1 and -41/1660?
1660
Let h(f) = 16*f**2 + 2*f - 11. Let l be h(-4). Suppose -90 = -3*y - l. Let b = 54 + y. What is the smallest common multiple of b and 5?
5
Let y = 13158937331/99 - 132911866. Let v = 20081/3 - y. Calculate the common denominator of v and -30/77.
693
Find the common denominator of -193/870 and (-15)/27*(-212)/100 - 30/20.
2610
What is the lowest common multiple of 2 + -3 + 189 + (42 - 38) and 1568?
9408
Let v be (-2)/7 + 1026/63. Suppose -18*n + 34 = -v*n. Let c(t) = -t + 57. Calculate the lowest common multiple of 22 and c(n).
440
Suppose -24599 = -146*t - 207*t + 8230. Calculate the smallest common multiple of 1209 and t.
1209
Suppose -21*j = -17*j - 280. Let s = -45 - -51. Suppose s*c = j + 434. What is the least common multiple of c and 20?
420
Let u(d) = -d**2 + 9*d - 3. Let b be u(7). Find the common denominator of -56/27 and (b/99)/((-8)/(-381)).
216
Let n(p) = p**2 + 4. Let h(q) = 15*q**2 + 5*q**3 - 4*q**3 + 126*q - 3*q**3 + 23 - 134*q. Calculate the smallest common multiple of n(-4) and h(7).
80
Suppose -4 - 4 = -2*o. Let t = 979 + -809. Let x = t - 160. What is the least common multiple of x and o?
20
Suppose 2*f + 2 = 0, 0*b = 5*b - f - 31. Calculate the lowest common multiple of b and (-7770)/21*(-2 - 40/(-25)).
444
Let j be (-336)/(-20)*(-45)/(-18). Find the common denominator of (30/(-54))/(176/j - 4) and 7/470.
2820
Let b = -937781/85908 + -4/7159. What is the common denominator of ((-22)/165)/(16/18) and b?
60
Let h(a) be the second derivative of a**5/20 + 7*a**4/12 - 2*a**3 - 26*a**2 + 149*a. What is the smallest common multiple of h(-6) and 32?
224
What is the common denominator of 61/80 and (-6 - (-17 - -10))/(640/(-29))?
640
Let h be 10/30 + 398/498. Let g = 7369/1743 - h. Let a = -721 + 23788/33. Calculate the common denominator of g and a.
231
Suppose -7*g - 2 = -268. Suppose 8 = 42*x - g*x. What is the least common multiple of 11 and x?
22
Let s(u) = -29*u + 162. Let g be s(6). What is the least common multiple of 104 and (-22)/2*(g - -8)?
1144
Let b(i) = -18*i**3 + 2*i**2 + 15*i + 9. Let y be b(-7). Let r = 8930501/1446 - y. Let m = r + -9203/13014. Find the common denominator of m and -131/6.
54
Let s = -17400943/243 - -71609. Calculate the common denominator of 35/648 and s.
1944
Let o(x) = x**3 + 13*x**2 + 93*x + 397. What is the lowest common multiple of o(-5) and 60?
660
Suppose -24 + 192 = 8*u. Let i = 39 - u. Calculate the smallest common multiple of -3*(-2)/2*3 and i.
18
Suppose 1043 + 361 = 10*i + 8*i. What is the smallest common multiple of i and 1118?
3354
Let m(j) = 184*j**2 - 11*j + 10. Let b be m(1). Suppose -b = -9*w + 249. Let p(n) = n**3 - 6*n**2 + 2*n. What is the smallest common multiple of p(6) and w?
48
Let q = 43 + -18. Let o be q*3 + -6*(-8)/16. Suppose 60 = -3*g + o. What is the least common multiple of 11 and g?
66
Let c = 353/338 + -128457/141284. Calculate the common denominator of c and -3/380.
4180
Let i(w) = -w**3 + 30*w**2 - 32*w + 91. Let r = -160 - -189. Let m(v) = 2*v**3 - 3*v**2 - 2*v - 3. What is the lowest common multiple of m(3) and i(r)?
36
Let j = -58277/4 + 185471/12. Suppose -48 = 4*k - 52, -860 = b + 4*k. Let p = j + b. Find the common denominator of p and 35/2.
6
Suppose 4*s = 8*p + 234 + 358, -4*s + 604 = -2*p. Calculate the lowest common multiple of 136 and s.
2584
Let c(i) = i**3 + 10*i**2 + 20*i + 1. Let m(f) = f**3 - 25*f**2 + f - 32. Let d be m(25). What is the lowest common multiple of c(d) and 18?
72
Let z be 10/3*(-576)/30. Let b = -100 - z. Let k = b - -46. Calculate the least common multiple of k and 3.
30
What is the least common multiple of 2528 - (5 - (-20 - -52)) and 657?
22995
Suppose 27*w - 32*w + 40 = 0, -2*c - 5*w = -6348. What is the smallest common multiple of 22 and c?
34694
Let u = 117 + 229. Let i = u - 380. Calculate the common denominator of ((-6)/(-8))/((-18)/(-260)) and i.
6
Suppose 2901 = 8*f - 10541 + 1610. Calculate the lowest common multiple of 783 and f.
13311
Let i = 139/844 + 1417/147700. What is the common denominator of 109/350 and i?
350
Suppose -11*f + 45 = 1. Suppose -4*t = 5*j - 457, 221 = f*t + 2*j - 221. Calculate the lowest common 