
36
Let v be ((-2)/(-5))/((-1)/(-20)). Let u = 0 + v. What is the smallest common multiple of 2 and u?
8
Let l = -78581/20 - -3928. Calculate the common denominator of l and 167/(-6) + 1 - -3.
60
Let o = -24/41 - 95/328. Suppose -11*d - 4*c = -7*d + 44, -5*c = -5*d - 25. What is the common denominator of o and d?
8
Let m be (-1)/((-14)/(-8) - 2). Calculate the smallest common multiple of (-16)/(-1) - (1 - 1) and (-7)/(10/m - 3).
112
Suppose -4*j + 12 + 8 = 0. What is the smallest common multiple of j and 4?
20
Let o be (-10)/(-25)*(-10)/(-2). Suppose -k = o*k - 12. What is the least common multiple of k and 2?
4
Let a be (-86606)/6536 + 3 + -3. Let w = 1/1634 + a. Let p = 1453 + -20353/14. Calculate the common denominator of p and w.
28
Let g(v) = 5*v**2 + v - 1. Let w be g(1). Let k = 13 - w. Let q(c) = 5*c - 2. Calculate the least common multiple of k and q(2).
8
Suppose 5*v + 4*k - 395 = 0, 142 - 552 = -5*v - k. Suppose 0 = -f - 3*h + 34, 4*f - 13 - v = -2*h. Calculate the least common multiple of f and 18.
198
Let w(v) = v + 18. What is the least common multiple of (-2 - -1)*(10 - 30) and w(0)?
180
Let y(a) = a**3 - 5*a**2 - a - 6. Let t be y(6). Calculate the lowest common multiple of t/2 + -1 + -1 and 12.
60
Let y be 2 + (-3)/((-6)/(-4)). Let u be (-54)/(-3)*(y - 1). What is the common denominator of (5/u)/(2/(-30)) and 55/2?
6
Suppose 2*o + 2*t = 7*o - 1909158, 5*o - 3*t = 1909162. Let u be (o/48 - -3) + -2. Let d = u - 7958. What is the common denominator of d and 71/16?
48
What is the common denominator of (744/(-32))/(1 + (-2)/(-4)) and 57/28?
28
Let a = 740/301 + -32/43. Suppose 0 = -0*i + 2*i + 4*k - 10, 4*k = 3*i - 25. Find the common denominator of a and -1 + (931/(-6))/i.
42
Let n = -4 - -8. Suppose -11 = -3*w + n. Suppose 2*h + 2*h + 5 = w*j, -3*j + h = -10. What is the smallest common multiple of 9 and j?
45
Let h(m) = 11*m + 8. What is the lowest common multiple of 36 and h(0)?
72
Suppose 10*b - 3*b = 21. What is the least common multiple of b and 54?
54
Suppose 0 = 4*j - 3*d - 23, -4*j - 2*d + 18 = -0*j. Suppose 17*z - 2 = 32. What is the lowest common multiple of z and j?
10
Suppose -1 - 2 = -p. Find the common denominator of -1*((-182)/4 - p) and (-231)/(-2)*1/18.
12
Let q be 18/(-4)*40/6. Find the common denominator of 33/10 and 6/30 - (-211)/q.
30
Let v = 234/89 + 3419/1780. Find the common denominator of v and 1 - 1/(12/214).
60
Find the common denominator of (-202)/30*5/(-6) and (-70)/24 - (13 - 7 - 9).
36
Let r = -1455 - -14497/10. What is the common denominator of (-15 - -1)*(52/(-60) - -1) and r?
30
Let h = 14804/3773 + -5/343. Calculate the common denominator of 42/11 and h.
11
What is the smallest common multiple of (0 + -1 - -3) + 0 + 16 and 48?
144
Let p(n) = -8*n**3. Suppose 3 = -4*k + u, -4*k - u + 1 - 6 = 0. What is the lowest common multiple of p(k) and 2?
8
Calculate the common denominator of 1/((-56)/100) + 1 and -73/22.
154
Let o = 117 - 65. Suppose -3*t + o = 5*c - 6*t, 4*c - 12 = -5*t. Calculate the lowest common multiple of c and 4.
8
Let b = 16003/630 - 1136/35. Let g be (1*-3)/12 + -142. Let c = 5171/36 + g. What is the common denominator of c and b?
18
Calculate the smallest common multiple of 15 and ((-15)/25)/(3/(-45)).
45
Let a be 4/26 + 618/39. Let c = -15 + a. What is the least common multiple of 3 and c?
3
Let s(h) = 7*h**2 - 2*h + 1. Suppose -4*c + 38 - 6 = 0. What is the lowest common multiple of s(1) and c?
24
Let p = 19757/6 - 3268. Let s = -10/133 - 8891/266. Find the common denominator of s and p.
6
Let h = 17/30 + 11/6. What is the common denominator of -63/25 and h?
25
Let k be (36/(-16) + 1)*80. Find the common denominator of -7/10 and k/6*10/24.
90
Let b be 16*(946/948 - 1). Let u = b + -11762/2607. Find the common denominator of 760/(-660)*(1 - 4) and u.
11
What is the common denominator of -26/9 and (-3 - (-51)/(-9)) + 3?
9
Suppose -2*r = -10 - 26. Calculate the lowest common multiple of r and 24.
72
What is the common denominator of -41/18 and (-11224)/4347 - (-1 - 10/(-14))?
54
Let q(f) = f**3 + 5*f**2 + 5*f + 4. Let v be q(-4). Suppose -s + v*s = -14. Calculate the lowest common multiple of s and 18.
126
Let b = 151935/8 + -18953. Let r = 42 - b. What is the common denominator of r and 5/(-14)*26/(-10)?
56
Let n = -2/31719 - -48561805/253752. Let w = n + -197. Calculate the common denominator of 77/8 and w.
8
Suppose 2*g - 38 = -4*i, 7*i = 5*i - 2*g + 18. Let w = 5 + -9. Let j = w + 6. What is the lowest common multiple of i and j?
10
What is the smallest common multiple of 6 and (-3)/(-5) + 570/50?
12
Let i = 2/49559 + 5996619/495590. What is the common denominator of 2/33 + (-4)/(-6) and i?
110
Suppose -l + 97 = 4*a, -4*a = -7*a - 2*l + 79. What is the lowest common multiple of 16 and 4/(4/(-3)) + a?
80
Let q be 1616/(-4540) - (-4)/10. Let o = 14775/454 - q. Calculate the common denominator of -47/6 and o.
6
Suppose 3*u = -5*n + 7939, -5*n - 8196 + 277 = -3*u. Let v = 303751 + -3370354/11. Let g = u + v. Find the common denominator of g and -70/9.
99
Let f(x) = x**3 - 6*x**2 + x - 2. Let r be f(6). Suppose r*s - o + 6 = -0*o, 3*s = -5*o - 16. What is the common denominator of s - (4/10)/(-1) and -45/11?
55
Suppose -99 = -57*b + 56*b. What is the smallest common multiple of 3 and b?
99
Let v = -1085 + 8641/8. Let s = -17766 + 319699/18. Find the common denominator of s and v.
72
Let g = -4765/9 + 1594/3. What is the common denominator of 53/2 and g?
18
Let v(x) = 0 - 114*x**2 - 1 - 14*x + 13*x. Let g be v(-2). Let j = -875/2 - g. Calculate the common denominator of j and 131/6.
6
Suppose 0 = 5*z - 4*q - 47, 5*z - 36 = -3*q - 10. Suppose 8*t - 20 = 52. Calculate the smallest common multiple of z and t.
63
Let g be ((-1)/4)/(137/(-12)). Let q = g + 3669/1370. What is the common denominator of q and -7/6?
30
Calculate the smallest common multiple of -3*(0 - -1)*-1 and 17.
51
Let a = 935/52 - 42/13. Find the common denominator of 44/7 and a.
28
Let k(i) = i**3 - 6*i**2 + 6*i + 5. Suppose c + 5 = f, -4*c = -2*f - 3*f + 25. What is the least common multiple of k(f) and 2/(-8) - 89/(-4)?
110
Let l = 9763 + -175651/18. What is the common denominator of -47/3 and l?
18
Let a = -10 - -15. Suppose a = t - 3. Suppose -80 = 3*h - 7*h. Calculate the lowest common multiple of h and t.
40
Let o(p) = p + 5. Let u be o(-5). Let z(n) = -n**2 + 12. What is the least common multiple of 8 and z(u)?
24
Let c be 105/12 + 1/4. What is the common denominator of 2 + 21/44*-2 and ((-2)/(-4))/(c/61)?
198
Suppose 0 = -5*k + 3*n - 267, -3*k = -4*n + 74 + 84. Let q = -638/5 - -5279/40. What is the common denominator of ((-16)/k)/4*-24 and q?
72
Let f be (-18)/(-291)*(-11747)/(-220). Let b = f - 3/1067. Let z = 31129/11 + -2828. What is the common denominator of b and z?
110
Let w = -33137/4188 - 3/698. Find the common denominator of w and 6669/(-1430) - ((-16)/20)/(-4).
132
Let l be (-7778)/(-45)*(-10)/(-40). Let i = l - 487/9. What is the common denominator of i and 167/30?
30
Let y = 29941/12 + -2488. What is the common denominator of -49/4 and y?
12
Let d = 571 + -5729/10. Find the common denominator of (-1)/(4/20 + 63/(-565)) and d.
10
Let n = -658 - -11753/18. What is the common denominator of n and (-4)/(-8)*(-53)/(-8)?
144
Suppose 0 = o + o - 4. Suppose -4*l + 6 = 3*u - 8*u, o*l = 3*u + 2. What is the lowest common multiple of l and 22?
44
Suppose 3*l + 2*l + 31405 = 0. Let j = l + 138247/22. What is the common denominator of j and -11/10?
110
Suppose 0 = 2*c - 4*c + 14. Let g = 0 + 10. Suppose 8 = r + r, 2*y + g = 5*r. What is the least common multiple of y and c?
35
Let b = 105 + -50. Calculate the smallest common multiple of b and 25.
275
Let d(a) = a**3 + 5*a**2 - a - 5. Let w be d(-5). Suppose 6*f - f - 100 = w. Calculate the lowest common multiple of f and 2/8 - (-23)/4.
60
Let r = 30 + -13. Suppose -5*a + r = -28. What is the least common multiple of a and 2?
18
Let w = -7 - -2. Let q = 1 - w. What is the smallest common multiple of q and 1?
6
What is the lowest common multiple of (-2*1)/(5/(-20)) and 20?
40
Suppose 5*g - 3*g = 16. Calculate the least common multiple of g and 9.
72
Let p(b) = -6*b - 1. Let x(a) = -17*a - 4. Let r(n) = 8*p(n) - 3*x(n). Calculate the lowest common multiple of