l**2 + 5*l + 12. Let n be k(10). Suppose 5 = 5*m, 2*y + m - 173 = -2*y. Let t = y + n. What is the smallest common multiple of 14 and t?
70
Let f = -899166 - -927939401/1032. Find the common denominator of 139/120 and f.
5160
Let x(n) = n**3 + 23*n**2 - 19*n + 23. Let o be x(-24). Let g = o - -102. Find the common denominator of 71/9 and 2 + 48/40 + 2/g.
45
Suppose 11*c + 10692 = 93*c - 28*c. Calculate the smallest common multiple of 110 and c.
990
Suppose -k = 2*o + 218, 4*o + 0*k = 4*k - 412. Let z = 115 + o. What is the smallest common multiple of z and 68?
136
Suppose -5 = -12*o + 55. Suppose -22 = o*j - 2. Calculate the least common multiple of j/(-14) - (-48)/28 and 12.
12
Let a(v) = -12*v + 37. Let o be a(3). Find the common denominator of -5*o - 144/112 and -85/63.
63
Suppose -33*q = -1066752 + 301680. What is the common denominator of (-15)/(-135) - 2342/q and 11/14?
1288
Let i be 9709503/(-237)*2/2. Let s be 2319/((-1)/1)*(-265)/(-15). Let h = s - i. Calculate the common denominator of h and -5/8.
632
Let b = -13185 + 158113/12. Calculate the common denominator of b and 17/405.
1620
Let j = 514 - 513. Calculate the common denominator of (-48)/168 - j/(1022/(-334)) and 71/2.
146
Let s(j) be the first derivative of j**3/3 + 4*j**2 - 8*j - 70. Let f(k) = k**2 - 7*k + 14. What is the lowest common multiple of f(7) and s(-9)?
14
Suppose -68 = 15*y - 54 - 104. Let z(f) be the third derivative of -f**6/10 - f**2. Calculate the lowest common multiple of y and z(-1).
12
Let m = 109110116673/970 - 112484644. Let b = m + -142/97. What is the common denominator of b and 13/11?
110
Suppose 22 = -4*t - 4*g + 102, -7*t = 5*g - 140. Calculate the lowest common multiple of 425 and t.
1700
Suppose 4*q - 11 = m, -5*m + 0*m = 5*q - 20. Find the common denominator of 19/m*((-248)/(-48) - 5) and 3*-1 + (53 - 4).
6
Let s = -83 + 96. Suppose 21*l = s*l + 984. Calculate the lowest common multiple of l and 27.
1107
Let s = 13720 + -3910211/285. What is the common denominator of s and 73/50?
2850
Let w = -6308 + -2366. Let m = w - -173517/20. Find the common denominator of -5/6 and m.
60
Suppose 163*p = 169*p - 3744. What is the smallest common multiple of 91 and p?
4368
Let r(c) = c**3 - 100*c**2 - 302*c - 631. Calculate the smallest common multiple of 180 and r(103).
180
Suppose 35000 = 293*x - 237*x. What is the lowest common multiple of 3125 and x?
3125
Let q = 7095 + -6825. Calculate the lowest common multiple of q and 40.
1080
Let p be ((-2)/(-4))/(10/480). Suppose 0 = 3*o + 2 - 11. Calculate the common denominator of 17/2 and 127/4 + o/p*-2.
2
Let k(m) = 8*m**3 - 2*m**2 - 2*m. Let n be k(-1). Let b be (-35 + 15)/(-1 - 10/n). Calculate the common denominator of -127/6 and (2 + b/45)/(8/230).
18
Let l = -1/439 - -1781/10975. Let q = l - -31/275. Calculate the common denominator of q and 137/102.
1122
Let f be ((-6)/(-9) + -3)*-153. Let x = -261 + f. What is the lowest common multiple of 30 and x?
480
Let p(w) = -13*w - 11*w + 20*w - 24. Let l be p(-7). What is the least common multiple of ((-2)/l)/((56/(-32))/7) and 8?
8
Let y(k) = -k**3 - 6*k**2 + 2*k + 14. Suppose -17*h + 23*h - 228 = 0. Let i = -44 + h. What is the least common multiple of 8 and y(i)?
8
Let s = 81 + -75. Suppose s = -i + 6. Suppose -d - 4*o + 12 + 8 = i, 0 = -3*d - o + 82. What is the smallest common multiple of d and 12?
84
Let r = 16897/403200 + -13/6300. Find the common denominator of r and -29/640.
1280
Let l(u) = -670*u - 226. What is the lowest common multiple of l(-1) and 54?
3996
Let j be (-5*6/30)/((-3)/(-1197)). Let n = 438 + j. What is the smallest common multiple of 12 and n?
156
Suppose 50*h + 44*h = -11*h + 41160. What is the smallest common multiple of h and 490?
1960
Let h = -4 - -3. Find the common denominator of -4 + 2/4*(-88 + -1) and (1/(-2) - h) + (-46)/(-11).
22
Let t = -1 - -14. Let p = -263 - -263. Suppose 3*u - 6*u + 21 = 5*d, 2*u + 3*d - t = p. Calculate the lowest common multiple of u and 4.
4
Let b = -51 + 50. Let a be (13 + b)/(-4) - -1. Calculate the smallest common multiple of (-1)/(3*a/144) and 7.
168
Let b(j) = 6*j. Calculate the least common multiple of b(5) and 9 + (-437)/133 + (-4)/(-14).
30
Suppose 40 = 2*c - 4*o + 6, o = -4*c + 23. What is the lowest common multiple of c and 101?
707
Let n = -742 + 746. What is the least common multiple of n and 3?
12
Let o = 27 + -126. Let k = 1759 + -77457/44. Calculate the common denominator of 26/6*o/(-176) and k.
176
Let b(y) = -y**3 - 19*y**2 + 22*y + 24. Let k be b(-20). Let o = 56 - k. Calculate the smallest common multiple of 14 and o.
504
Suppose 4*t - 4*c = 28, -41 + 42 = -2*t + 5*c. Calculate the least common multiple of t and 8940.
8940
Suppose -14 = 2*y - 3*y. Let q = -29714 + 29944. Calculate the least common multiple of y and q.
1610
Calculate the common denominator of ((-10)/18)/((-57)/570) and 3/17.
153
Suppose -57 = -t + 3*a, t + 6 - 65 = 5*a. Calculate the common denominator of -6 - (2 + (-750)/t) and -121/12.
36
Let d(t) = -t + 12. Let w be d(11). Let x be 1 - (-2 + w)/(2/4). Suppose -17 + x = -i. What is the least common multiple of 42 and i?
42
Let t = -351215/121 + 31926/11. What is the common denominator of t and (-1 - 329/(-264)) + 304/(-456)?
968
Let l = 24738 - 23748. What is the lowest common multiple of 1980 and l?
1980
Let d = -66323/12 + 5535. Suppose -m - 103 = -f - 179, 4*m + 4*f - 304 = 0. Let l = m + -510/7. What is the common denominator of d and l?
84
Let v = 353 + -345. What is the common denominator of -67/3 and (-10)/(-45)*(-708)/v?
3
Let u(n) = n**2 + 6*n - 74. Let y be u(7). Let m = -37/6 + y. Find the common denominator of m and -21/8.
24
Let y = 20 + -17. Suppose -y*o = 4*w + 72, -4*w = -7*w - 3*o - 54. What is the common denominator of w/(-99) - (-930)/88 and -81/56?
56
Let i = 135829/914364 + 36/2309. What is the common denominator of -115/972 and i?
10692
Calculate the common denominator of -44/279 and (1 + ((-19180)/(-75))/4)/(-12) - -4.
2790
Suppose 0 = 346*x - 350*x + 320. Suppose -x = -126*l + 121*l. Calculate the smallest common multiple of l and 6.
48
Let o be (-2)/4*(-13 - -1). Let u = 3134 + -84647/27. What is the common denominator of u and -137*o/8*(-27)/(-486)?
216
Let z be 16/(-8) + 2 + -2. Calculate the common denominator of z + ((-3200)/(-15))/10 and -5/4.
12
Suppose -4 = -u - 2*u - 5*m, -2*u + 3*m = -9. Suppose 7 + u = p. Suppose 4*g + 16 = 0, g + 18 - 4 = z. What is the least common multiple of p and z?
10
Let g = 130497583/1284636 - -2/107053. Let u = 112 - g. Calculate the common denominator of u and -149/12.
12
Let j be 8952/(-31185) + (-6)/(-21). Let u = j - -2503/20790. Calculate the common denominator of -59/3 and u.
42
Let y = 19 + -17. Suppose -y*u + u + j - 44 = 0, 2*u = -3*j - 108. Find the common denominator of -29/2 and 620/u + 2 + 0.
12
Calculate the smallest common multiple of 4856 and ((-234)/(-5 + -4) - (8 + 0))*1.
43704
What is the least common multiple of 16 and 1 + 4 + 48/1 + (-1 - 4)?
48
Calculate the common denominator of -22/1415 and -1642 + 1647 + (-1)/((-2547)/(-12703)).
12735
Let u(m) = 2 + 16*m + 44 + 32. Suppose 7*n = 4*n + 18. Calculate the least common multiple of u(7) and n.
570
Let d = -72436 + 4346309/60. Calculate the common denominator of d and -81/140.
420
Let g = 91344 + -14615139/160. What is the common denominator of -59/40 and g?
160
Let h(c) be the third derivative of c**6/120 - c**5/20 - 7*c**4/24 - 2*c**2. Let o be 5*(11 - (11 - 1)). What is the smallest common multiple of 3 and h(o)?
15
Let i(a) = a - 2. Calculate the least common multiple of i(6) and (-137 - 69)*(-2)/4.
412
Let i = 8/9521 + 1418341/342756. Calculate the common denominator of 145/996 and i.
2988
Let w = -93130289/30 - -3104756. Let r = 23753/60 + -281/60. Let j = r - w. Find the common denominator of 15/29 and j.
174
Let u(i) = -9*i**2 - 3*i - 2082. Let l be u(0). Let h = l - -18760/9. What is the common denominator of 74/63 and h?
63
Let j(c) = -4 + 2 - c + 3*c - 12. Let s be j(6). Calculate the common denominator of 109/6 and s/(-1)*(-4 - (-680)/256).
48
Let y(v) = -v**3 + 7*v**2 - 7*v + 5. Let r be y(5). Find the common denominator of (-88)/6*(2 + (-58)/28) and 8/r - 1046/(-60).
42
Let l = -19357/354 + -9/59. Let h = 11539/210 + l. Cal