8 + 1 + 132/42. Let v = -3 + 8. Suppose -h*u + 3*q + 0*q + 33 = 0, v*u - 5*q - 45 = 0. Calculate the smallest common multiple of 9 and u.
18
Let o = -31357/528021 - 2/4513. Let m = o - 31/13. What is the common denominator of 2/5 - (-5944)/240 and m?
18
Let c = -142274/17565 + -1/7026. Suppose 24*d + 11059 = 36379. Let a = 14659/14 - d. Calculate the common denominator of c and a.
70
Suppose 60 = 4*l - 4*k, -54*l - 24 = -55*l - 2*k. What is the smallest common multiple of l and 1174?
10566
Let t(z) = z**2 - 6*z - 7. Let a be t(8). Let n(f) = -f**2 - 13*f - 20. Let g be n(-12). Let l = g + a. What is the least common multiple of 7 and l?
7
Let o = 626269396/175035 - 516/8335. Let z = 3577 - o. What is the common denominator of 43/33 and z?
231
Let g(h) = 2*h**3 - 10*h**2 + 8*h. Calculate the lowest common multiple of 40 and g(5).
40
Suppose 50 = -2*s + 4*q - 30, -4*s = -3*q + 135. Let l be (49 - 1)*s/20. What is the common denominator of (-4)/(-18) - (-7)/l and 61/4?
8
Let y(z) = -137*z**2 + 4*z + 4. Let w = -43 + 35. Let f be y(w). Let d = f - -123219/14. What is the common denominator of d and 53/6?
42
Let o(y) = -113*y - 308. What is the lowest common multiple of 16 and o(-4)?
144
Let c = 7 + -11. Let h = c + 9. Calculate the least common multiple of ((-39)/11)/(-3) - 2/11 and h.
5
Calculate the smallest common multiple of 69 and 16/(-84)*-18*7.
552
Let n = 3 - -7. Let h be (5 - 7) + 2 - (-11 + 1). Let k(a) = 2*a + 14. Calculate the smallest common multiple of n and k(h).
170
Let z(d) = d**3 + 10*d**2 - 3*d - 12. Let r be z(-9). What is the common denominator of 32/56*(-153)/r and -117/14?
56
Let r(w) = 2*w**2 + 12*w + 18. Let d be r(-9). Find the common denominator of 1 - 0 - (-123)/d and -54/5.
120
Let o = -262 + 266. Calculate the smallest common multiple of o and 26.
52
Calculate the least common multiple of (30/(-8))/(-5 - (-230)/48) and 132.
396
Let l = 711232100292394/321 + -2215671825327. Let x = l - 4499576. Let p = x - 3/428. Find the common denominator of p and -7/8.
24
Suppose 19*m + 18 = 13*m. Find the common denominator of -71/4 and (-2)/m - (-52)/(-186).
124
Suppose -583*y = -588*y + 30. Calculate the least common multiple of 410 and y.
1230
Find the common denominator of ((-22)/55)/((-16)/(-1900)) and -101/208.
208
Let l = -39 + 45. Find the common denominator of 31/9 and l/2 - (106/52 - 3).
234
Suppose 5 = 12*l - 17*l + 5*k, -4*l - 4*k = -20. What is the smallest common multiple of l and 1810?
1810
Let g = 155 - 94. Let q = g + -53. What is the smallest common multiple of q and 10?
40
Calculate the common denominator of 29/42 and (-3 - 12 - -12) + 542/132.
462
What is the common denominator of -31/5 and ((-3)/2)/(10 - 4038/384)?
55
Suppose -4*p = -5*u - 59, 3*p - 5*u - 11 - 27 = 0. Let q = -15 + p. Calculate the lowest common multiple of 3 and 11*(-3)/q*-2.
33
Suppose -3*q = -9*q + 396. What is the least common multiple of q and 78?
858
Let u = 1663/156 - 501/52. Find the common denominator of 139/138 and u.
1794
Find the common denominator of ((-145)/6)/5 + 1/(-10) and -32/15.
15
Suppose 2*a = -w - 659, -3*w = 3*a - 397 + 1393. Let k = -79 + 247/2. Find the common denominator of ((-6)/(-16))/(a/(-60) + -5) and k.
6
Let o(h) = -h + 9. Let r be o(-11). Calculate the least common multiple of 28 and (31 - r) + (1 - 2).
140
Calculate the smallest common multiple of 30 and 8/((-128)/120)*-6.
90
Let t be (-2)/10 + (-3619)/(-18445). Let g = 33209/2108 + t. What is the common denominator of g and 36/7?
28
Suppose -2694 = -2*m + 2324. Let a = m - 4927/2. Calculate the common denominator of a and 91/38.
38
Suppose -437*d + 429*d = -264. What is the least common multiple of 195 and d?
2145
Let k = 1367 + -15047/11. What is the common denominator of k and 1/7?
77
Let s = 74 - 18. What is the smallest common multiple of 44 and s?
616
Suppose 293 = 26*g - 123. Suppose 5*t + 27 = 87. What is the lowest common multiple of t and g?
48
Suppose 22 = -2*c - 5*f, 4*c - 5*f + 2*f + 18 = 0. Calculate the common denominator of (25/(-10))/(c/(-10)) and -5/14.
42
Suppose 5*x + 0*x + n - 51 = 0, -4*x + 40 = n. Suppose 0 = -2*b - b + 3. Calculate the least common multiple of b and x.
11
Let j = -402 + 492. Calculate the smallest common multiple of 495 and j.
990
Let k(z) = z**2 - 15*z + 15. Let u be k(14). Let t(j) = 10*j - 1. Calculate the smallest common multiple of 5 and t(u).
45
Let r(g) = g + 9. What is the least common multiple of r(-2) and 1?
7
Let w(j) = -j**3 - 11*j**2 - 14*j - 7. Let z be w(-6). Let q = -83 - z. Calculate the least common multiple of 4 and q.
20
Suppose 5*l = 5*g, 5*g - 40 = -0*l - 3*l. Suppose -2*h - 2*j + 64 = h, 3*j - 106 = -g*h. Calculate the lowest common multiple of h and -1 + (1 - 2) + 6.
20
Let n be ((-1)/(-146))/((-8)/368). Let i = n + 4621/1460. Find the common denominator of 47/6 and i.
60
Let o(b) = -b**3 - 22*b**2 + 24*b + 31. Let t be o(-23). Find the common denominator of -4/33 and (1 - 10/t)/((-6)/(-344)).
33
Suppose 6*l - 2495 = 4849. Find the common denominator of ((-1)/4)/(10/l*3) and -41/11.
55
Let j be (-178444)/17655 + (-8)/132*3. Let a = -15044635/642 + 23434. Let q = j + a. Find the common denominator of -83/12 and q.
60
Let o = -449423/17 + 26445. Let q = 526/51 + o. What is the common denominator of 0 + 0 + 5/40 and q?
24
Let t = -14 - -16. Let z(m) = 4*m**2 + 0*m**2 - 2*m - m**3 - m + 4 - t. Calculate the least common multiple of z(3) and 12.
12
Let i = -47 + 11. Let k = i - -61. Calculate the lowest common multiple of 4 and ((-10)/k)/(2/(-90)).
36
Suppose 3*q = 3*u + 15, -3*q + 2*u + 24 - 6 = 0. Let f = q + 14. What is the lowest common multiple of 6 and f?
66
What is the common denominator of 37/84 and ((-16)/(-24))/(231*4/747)?
924
Let p = -1/14 - -26/21. Let h = -4720/9 - -517. Find the common denominator of h and p.
18
Let p be (-41103)/4632 - -1 - 2/(-4). Let o = p - 1/772. Calculate the common denominator of o and -75/32.
32
Let o = 826 - 777. What is the least common multiple of o and 56?
392
Suppose -240 = 29*k - 30*k. Calculate the least common multiple of k and 180.
720
Calculate the smallest common multiple of 5852/33 - (-4)/6 and 4.
356
Let i(a) = -a**3 - 25*a**2 + 79*a - 50. Calculate the lowest common multiple of i(-28) and 45.
90
Suppose -16*s + 18*s - 3*f = 51, -15 = -5*f. What is the lowest common multiple of s and 15?
30
Let a = 164073/10 - 80177/5. Let f = 371 - a. Calculate the common denominator of 35/16 and f.
80
Find the common denominator of -35/2 and (16/(-30))/(112/(-168)).
10
Suppose -3*l - 21 + 7 = 2*o, 0 = 3*l + 6. Calculate the common denominator of -1 - ((-235)/30 + 4) and (-2)/o + 48/30.
30
Let n be -1*1*(-114629)/4022. Let j = -1/2011 + n. Let o = 1/2175 - 119627/4350. Calculate the common denominator of j and o.
2
Let j(k) = -k**3 + 6*k**2 + 2*k - 7. Let i be j(6). Let q = 9 - i. Suppose -6*r + 36 = -q*r. What is the least common multiple of 22 and r?
198
Let d = -154 - -143. Find the common denominator of (d/(-104))/(3 - (-45)/(-12)) and -57/20.
780
Let k = -3063883/104 + 29461. Find the common denominator of k and -103/24.
312
Let o = 74721445/176 - 424557. Let b = o - -36/11. Let z = 4823 - 77197/16. What is the common denominator of b and z?
16
Let k = 7513/2658 - -3/443. Let n = 20 + -27. Find the common denominator of k and (-15 - -2)*(7/(-6))/n.
6
Let v(i) = i**2 + 4*i - 69. What is the lowest common multiple of (8 - 10)*(-5)/1 and v(-13)?
240
Let x be 2/(-6)*(-2371)/5. Let r = x + -158. Let p = -119/10 + r. What is the common denominator of p and -5/14?
42
Let m = -67/18 + 28/9. Suppose -z - 128 = 7*z. Find the common denominator of m and -4 - (-4 - 51/z).
144
Let v(p) = -p**2 + 4*p. Let j be v(6). What is the common denominator of 78/40 - 0/(-3) and (-63)/12*(-11)/j?
80
Let b(n) = -2*n**3 - 2*n**2 - 3*n - 3. Calculate the smallest common multiple of b(-3) and 4/(8 + (-580)/75).
210
Suppose 28*k - 22*k - 312 = 0. What is the lowest common multiple of k and 10?
260
Let v(d) = -272*d + 6. Let a be v(2). Let r = a - -4235/8. Calculate the common denominator of -89/10 and r.
40
Suppose w - 41 = -382. Let o = -3371/10 - w. Let i(n) = 9*n - 10. Find the common denominator of i(5) and o.
10
Let c = 1/1920 + -95041/1920. Find the common denominator of (-2)/7 -