3
Calculate the smallest common multiple of (-35)/(-3) - (-18)/(-27) and 3.
33
Let j = 132171 - 7931213/60. Let b be (1/9)/((-5)/(-276)). Let k = j + b. Calculate the common denominator of -59/14 and k.
28
Suppose -260 = 10*x - 12*x. Let o = -2093/16 + x. What is the common denominator of o and 41/18?
144
Suppose q - 3*m = -5*m + 18, 5*m = 10. What is the least common multiple of q and 2?
14
Let n = -2 + 6. Calculate the least common multiple of 8 and n/8 - (-30)/4.
8
Let o = 3883 - 31143/8. Find the common denominator of o and 134/44 + (-3 - -4).
88
Suppose 6*q = 20 + 28. Calculate the smallest common multiple of 10 and q.
40
Let c = -16129 + 290413/18. Calculate the common denominator of 3 + (-7)/2*33/308 and c.
72
Let j = -7299797/9 + 812395. Let a = j - 1304. Find the common denominator of a and 13/10.
90
Calculate the common denominator of 2/12 + 98/(-6) and 69/16.
48
Let t = 25 + -41. Let y = -6 - t. Calculate the least common multiple of 9 and y.
90
Suppose 0 = w + 2*w - 51. Let z = w + -10. Let o = 11 + -8. What is the least common multiple of z and o?
21
Let o = -39 - -44. What is the lowest common multiple of o and 9?
45
Suppose -2*d = 3*v + 1, 2*d + 3*v - 5 = 2*v. Suppose w + d = 26. What is the lowest common multiple of 4 and w?
44
Let k = 1064/3 + -362. What is the common denominator of k and 86/21?
21
Suppose 4*o = 3*c + 72, -3*c + 18 + 0 = o. What is the smallest common multiple of 24 and o?
72
Suppose -2*h = -0 + 2. Let n = 378 - 2279/6. What is the common denominator of n and -1 - h - 26/22?
66
Let h = 254 + -1755/7. Find the common denominator of -85/12 and h.
84
Let l(z) = 18*z + 6. What is the least common multiple of 8 and l(1)?
24
Let b = -65957/8 - -8257. Calculate the common denominator of b and 13/14.
56
Suppose -4*h + 15 = 3. Suppose 3*m = 5*p - 2 - h, m = -4*p + 21. Suppose -p*j - 7 = -s + 13, 0 = s - 3*j - 17. What is the lowest common multiple of s and 18?
72
Suppose 3*v = 3*m + 16 + 11, -3*m + 53 = 5*v. Let n(g) = g**2 + 7*g - 2. Let r be n(-7). Let w = r + 3. Calculate the smallest common multiple of v and w.
10
Let c(t) = -2*t**3 + 2*t - 1 + 3*t**3 + 3 + 2*t**2. Let i be c(-2). Calculate the common denominator of 177/(-33) - i - 0 and 26/3.
33
Let z be ((-1)/(-2))/((-8)/(-35181984)). Let y = -26459465/12 + z. Let c = y - -6076. What is the common denominator of c and -49/12?
12
Let c be (4/6)/(28/546). Let h = -6 + c. What is the lowest common multiple of 4 and h?
28
Let r = 649075382/203 + -3197426. Let g = -200/29 - r. Calculate the common denominator of g and -87/2.
14
Suppose 4*u - 5*a - 37 = -4*a, -16 = -u - 2*a. Let w be 36/(-10)*80/(-6). Suppose -h + 4*h = w. Calculate the least common multiple of h and u.
80
Let h = -36487/140 + 1810/7. Let o = 8536 + -1280393/150. Let t = o + -86/75. Calculate the common denominator of t and h.
20
Let g = -769935/328367 + -1/11323. Let d = g - -1/87. Find the common denominator of d and 22.
3
What is the least common multiple of 4 and 2/10*1 + 178/10?
36
Let x = -5 - -12. Let w(j) = -j + 9. Calculate the least common multiple of 5 and w(x).
10
Let a(f) = f**3 + 4*f**2 - 6*f - 1. What is the common denominator of -55/6 and a(-5)?
6
Let n = 24 - 14. Suppose -2*a + 6*b - 5*b = -13, -a - 16 = 4*b. Calculate the smallest common multiple of n and a.
20
Let t be (-4)/(-10) - (-103)/5. Calculate the common denominator of -22/5 and -2 - (1 - (-48)/t).
35
Let v = -995/34 - 4/17. What is the common denominator of -7/10 and v?
10
Let a(f) = 5*f - 3. Suppose 4*x - 48 = 40. What is the lowest common multiple of x and a(3)?
132
Let y = 6082 + -48751/8. What is the common denominator of y and 2/6*48/(-22)?
88
Let h(g) = -g**3 - g**2 + 3*g + 1. What is the smallest common multiple of 32 and h(-3)?
160
Suppose -2*d + 20 = 3*d - 2*l, -d + 5*l + 4 = 0. What is the lowest common multiple of 5 and d?
20
Suppose -4*j = -2*x - 22, -2*x + 0*x - 3*j = 15. Let v = x + 13. Suppose -37 = -5*a - 5*k + 2*k, 0 = k - 4. Calculate the least common multiple of v and a.
20
Let i(d) = d + 7. Let a be i(-6). What is the common denominator of (a/(-7))/(6/(-18)) and 23/5?
35
Suppose -3*h = -3 + 33. Let y = 11 + h. Calculate the least common multiple of y and 2.
2
Let q(y) = 8*y**3 - y**2 + y - 1. Let g = 6 - 5. Suppose -o + 2 = -5. What is the lowest common multiple of q(g) and o?
7
Let b = 11/21 + -173/210. Calculate the common denominator of b and -67/3.
30
Suppose 0 = c + 1 + 7. Let j = c - -6. Find the common denominator of 729/(-168) + j/7 and 73/8.
8
Let u = 3 - 27. Calculate the least common multiple of ((-4)/(-6))/((-2)/u) and 6.
24
Let i(p) = -2*p**2 + 22*p - 42. What is the smallest common multiple of (-86)/(-4) - 2/(-4) and i(8)?
66
Let v = 739883/140202 - -4/7789. What is the common denominator of v and -71/6?
18
Suppose -2*w = 5*q - 20, -2*q = -4*w + 5*w - 7. What is the common denominator of ((-114)/54)/((-1)/q) and -64/9?
9
Suppose -5*d + 166 = -4*d. Let r = d + -2321/14. Find the common denominator of 10/(-36)*(-267)/(-15) and r.
126
Calculate the lowest common multiple of 98/735 - 2/15*-134 and 10.
90
Suppose 2*v + 3083 = -5*x, -3*v + 4*v + 1542 = -2*x. Let a = v + 1049. Find the common denominator of -53/18 and (-3 - -1)*a/80.
72
Suppose 4*k + 0*k = 2*p - 60, 2*p - 3*k - 56 = 0. What is the smallest common multiple of 18 and p?
198
Calculate the common denominator of 0 + ((-378)/16)/3 and 47/32.
32
Let v = -51 - -84. Find the common denominator of 4/(-18) - (-218)/90 and v.
5
Let a = -15 - -19. Let f = 6 + -10. Calculate the common denominator of f/(-36)*(-570)/a and 31/18.
18
Suppose b = -0 + 3. What is the common denominator of -12*b*(-7)/16 and -97/8?
8
Suppose -3*d + 3 = 27. What is the common denominator of 632/154 + d/28 and 89/6?
66
Let n(v) = -v**3 + 6*v**2 - 6. Let u be n(6). What is the common denominator of (-92)/72 - 2/u and 2*156/64 - 0?
72
Let c = -46431595/19162 - -292/871. Let k = c + 2424. Calculate the common denominator of 2 - (306/32)/(-3) and k.
176
What is the smallest common multiple of ((-55)/33)/((-10)/6) and 50?
50
Find the common denominator of (-9)/(162/28)*10/4 and 59/9.
9
Let l = 464/7 - 4801/70. What is the common denominator of -67/22 and l?
110
Let i be (-1)/(-1) + (1 - -3). Suppose 3*h - 1 - i = 0. Calculate the lowest common multiple of 10 and h.
10
Let h = 56173 + -284773/5. Let z = h - -15719/20. Find the common denominator of z and 158/(-96)*(-1 - 2).
80
Suppose -6*f + 2 = 14. Calculate the common denominator of -40/11 and 71/(-8) + (f - 0).
88
What is the lowest common multiple of 6 + -6 - (-2 + -14) and 8?
16
Calculate the common denominator of (1/(-12))/(2*30/(-24)) and 91/54.
270
Let u(x) = 2*x**2 + 2. Let a be u(2). Suppose 3*v = v + a, v = 4*o - 27. Suppose 0*z - 16 = -4*z. Calculate the lowest common multiple of z and o.
8
Let a = 34 - 14. What is the common denominator of -99/10 and 6/3 - (-82)/a?
10
What is the lowest common multiple of ((-150)/(-40))/((-6)/(-32)) and 14?
140
Let l = 323 + -489. Let d be 2/(-4) + l/124. Let h = 2553/124 + d. Find the common denominator of -41 and h.
4
Let t = 33 + -1. Find the common denominator of 13/6 and ((-89)/(-8))/(8/t).
6
Let t = 1453/2 - 697. What is the common denominator of -17/2 and t?
2
Let u = -16800 + 571287/34. What is the common denominator of 71/10 and u?
170
Let h = -15 - -19. What is the least common multiple of 3 and h?
12
Suppose 4*d - 2*q - 30 = 0, -4*d + 7*q - 2*q + 27 = 0. Calculate the smallest common multiple of 18 and d.
72
Let t(s) = 2*s**2 - 2*s - 2. Let q be 4/(-6) + (-8)/(-12). Suppose q = 6*l - 11*l + 55. Calculate the smallest common multiple of t(2) and l.
22
Let d(f) = -7*f + 3. Calculate the lowest common multiple of d(-1) and 5.
10
Let x be (-3908)/10*(-5)/3. Let r = x - 666. Find the common denominator of -22 and r.
3
Suppose -3 = -d + l - 78, 3*d = -3*l - 207. Find the common denominator of 4*1*69/d and (-218)/(-28) - (1 + 0).
42
Suppose 14*m - 14 = 15*m. Calculate the common denominator of 63/8 and (2 - -11*9)/m.
56
Let i = -1 - -3. Let x be i/5 - (-16)/10. Calculate the common denominator of 97/6 and (-27)/(-60)*(-5)/x.
24
Suppose 0 = -29*u + 28*u + 8. Suppose 0*z = 4*g - z + 29, -3*g = -2*z + 28. Calculate the smallest common multiple of 2/(-1)*3/g and u.
8
Let f be