6. Let x = -10 + z. Calculate the lowest common multiple of x and 4.
4
Suppose 5*q - q = t - 5, -10 = 3*q - 2*t. Suppose q = -5*j - 5*a + 15, -3*j - 3*a = -j - 5. Calculate the smallest common multiple of j and 16.
16
Let n = 13 - -7. Suppose -4*q + 124 = n. What is the lowest common multiple of 12 and q?
156
Let v(t) = 8*t**2 - 5*t + 9. What is the least common multiple of v(3) and 10?
330
Let g(r) = r**2 + 19*r + 2. What is the smallest common multiple of 20 and g(-20)?
220
Calculate the common denominator of 27/16 and -1*(-8)/(-14) - 323/84.
48
Let u = 15 - -13/6. Find the common denominator of -26/11 and u.
66
What is the common denominator of 119/48 and (-1 + 3)/(96/296)?
48
Let r = 14 + -10. Suppose 0 = -l + r*d + 12, -2*l + 4*d - 12 = -3*l. Calculate the lowest common multiple of 8 and l.
24
Let s(d) = 8*d - 2 - 37*d + 1. Let w be s(2). Find the common denominator of 0 + w*3/18 and -79/6.
6
Suppose -3*z + 2*z - 4 = x, -2*z - 4 = 0. Let h be 37/x + (-2)/(-4). What is the smallest common multiple of 3/(((-3)/h)/1) and 6?
18
Let d = 395789/18 + -21995. What is the common denominator of d and 651/(-108) - (-2)/(-8)?
18
What is the lowest common multiple of 22 and -1 + -2 + 12/8*8?
198
Let b(u) = 2*u**2 + 7*u + 1. Let k be b(-4). Suppose 0 = k*a - 14 - 1. Calculate the lowest common multiple of a and 5.
15
Suppose 11*s - 363 = 1353. What is the least common multiple of 10 and s?
780
Suppose 7 = 2*x - 17. Let u be (116*-1)/(2 + -4). Suppose 14 = 4*f - u. What is the smallest common multiple of x and f?
36
Let k be (-931)/(-40) + 5/(-20). Let i = 117/5 - k. What is the common denominator of i and -47/4?
8
What is the least common multiple of (-48)/(-9) - (-10)/15 and 2?
6
Let u = -27638 - -497621/18. Let p = -1015/234 - 16/819. What is the common denominator of u and p?
126
What is the common denominator of (-7)/(-6)*298/(-14) and 97/2?
6
Let m(u) = u**2 - 9*u - 18. Suppose -4*l - 4 = -20. What is the smallest common multiple of l and m(11)?
4
Let t = 20/329 + -2155/658. Calculate the common denominator of t and 39/14.
14
Let w = 4 + -7. What is the smallest common multiple of 12 and -4 + 2 - w - -15?
48
Find the common denominator of ((-286)/(-72) + -4)*-82 and -61/12.
36
Let f(u) = -u**2 - 4*u - 1. Let m be f(-3). Suppose t = -m*t + 12. Calculate the least common multiple of (6/4)/((-1)/(-2)) and t.
12
Let b = -5 - -23. What is the smallest common multiple of b and 10?
90
Let j be (-1722518)/44*(-3)/(-7). Let a = j + 16782. Find the common denominator of 27/2 and a.
22
Let v = 4 + 4. What is the least common multiple of 3 and (4/(-3))/(v/(-12))?
6
Suppose s = 694 - 45. Let b = 3261/5 - s. Find the common denominator of b and -67/2.
10
Calculate the common denominator of 20/(-130) + 887/(-234) and -67/21.
126
Suppose h - 7 = -2, -3*p - 2*h + 40 = 0. Calculate the lowest common multiple of 2 and p.
10
Let w = -7 + 10. Suppose 3*p - 3 = w. Suppose 3*x - 2*x = p. What is the lowest common multiple of x and 2?
2
Let w be 9/(-2)*(-20)/15. Suppose -j - 25 = -w*j. Calculate the lowest common multiple of j and 11.
55
Suppose 0 = 4*c - 4 - 4. Find the common denominator of (129/(-8))/((-3)/c) and 1.
4
Let z be 4/(-5)*(-55)/(-2). Let q = 1 - z. Suppose q - 7 = 2*i. Calculate the smallest common multiple of 11 and i.
88
Suppose 0 = 5*h - 12*h - 140. Let k = -13 - h. Calculate the smallest common multiple of k and 2/1*(-1)/(-1).
14
Let l = 23 + -14. Let d(x) = -2*x**3 - x**2 + x. Calculate the lowest common multiple of d(-2) and l.
90
Suppose -y = 4*y + 30. Let k(h) = h**3 - 6*h**2 + 7*h - 1. Let n be k(5). What is the smallest common multiple of 18 and (-6)/n*(y + 3)?
18
Suppose -2*x + 6*x + 2*m = 30, 0 = 5*x + 4*m - 33. Calculate the common denominator of 831/270 + 2/x and (-3 + -10)*1/(-18).
90
Suppose -130 = 2*m - 7*m. Calculate the smallest common multiple of 10 and m.
130
Calculate the common denominator of 121/6 and -4 - (-4)/(96/164).
6
Suppose -3*y - 9 = -42. Calculate the smallest common multiple of y and 9.
99
Calculate the least common multiple of 14 and (-2 - 8/(-6))/(2/(-42)).
14
Let w = -469/80 - -9/80. Calculate the common denominator of w and -19/20.
20
Let q = 60 + -24. Let k = -2804 - -30865/11. Calculate the common denominator of k and q.
11
Let r be 2/7 + 698/7. What is the common denominator of (-27)/(-2) + 1/3 and (984/r)/(4/(-5))?
30
Let z(l) = -l**3 - 12*l**2 - l - 9. Let x be z(-12). Suppose -5*c - x*q + 40 = 0, 6*c = c + 3*q + 70. Calculate the least common multiple of 11 and c.
11
Let w be 10 - 3/1 - 2. Suppose -v + 5*b + 43 = 0, -2*v - w*b = -8 - 3. Calculate the least common multiple of 2 and v.
18
Suppose -31*r + 112 = -24*r. What is the lowest common multiple of 64 and r?
64
Let s = -6 - -6. Suppose s = 2*p - 10. What is the lowest common multiple of 1 and p?
5
Let o = -55 - -21. Let d = -72855/8 + 9118. What is the common denominator of 20/(-6)*o/(-15) and d?
72
Find the common denominator of 1 + 270/(-24) + -6 and 35/44.
44
Let i(g) = -g**3 - 7*g**2 - g + 5. Let o be i(-7). Let a = 34 - o. Suppose 0 = 5*x - 4*x - a. Calculate the lowest common multiple of x and 2.
22
Let o be -6 - -7 - 21/1. What is the least common multiple of (-4)/(-10) + (-52)/o and 6?
6
Let x = 19 - 3. Find the common denominator of -17 and (21/14)/((-15)/x).
5
Suppose 2 = -5*y - 3, -j = 2*y - 5. Let d(i) = i**3 - 8*i**2 + 8*i + 1. Calculate the smallest common multiple of d(j) and 7.
56
Let l = 39 - 27. Calculate the least common multiple of 30 and l.
60
Suppose -4*u - 200 = u. Let f be 13/2 - (-2)/(-4). What is the lowest common multiple of (3/(-2))/(f/u) and 18?
90
Let l be 2143/3 - 2/6. Let h = -217242 - -1082668/5. Let g = h + l. Find the common denominator of 23/2 and g.
10
Let t = 100309/30 - 3347. Calculate the common denominator of t and -59/27.
270
Let p = 214/1025 + -84/41. What is the common denominator of p and 43/15?
75
Let t = -52/3 - -566/33. Let y = 22371/10 + -2239. Find the common denominator of y and t.
110
Let a = 76 + -22. Suppose -3*y = 3*g - a, -82 = -g - 3*g + y. Calculate the lowest common multiple of g and (-5)/10 + 42/4.
20
Let h(f) = 3*f - 32. Let i(q) = q - 11. Let n(o) = 4*h(o) - 11*i(o). What is the least common multiple of 18 and n(11)?
36
Let f = 9/451 + -50151/4510. What is the common denominator of -13/20 and f?
20
Find the common denominator of (75/(-21) - 2) + 1 + 0 and 97/4.
28
Let i = 4318/5 + -7366513/8530. Let n be 549236/(-163776) - 1/3. Let f = n + i. Calculate the common denominator of -89/22 and f.
176
Let j be -1 + (201117/(-270) - 2). Let r = j - -3763/5. Let h = 583/10 - 58. What is the common denominator of r and h?
90
Let x be 4/(-6) - (-50)/57. Let c = -187/76 + x. Calculate the common denominator of -9/11 and c.
44
Suppose 4*b + 4*t - 8 = 0, 6*t = 2*t - 12. Let j = -12 + b. Let c = -6/235 - 1351/470. What is the common denominator of j and c?
10
Let y(a) = -a**3 + 14*a**2 - 12*a - 13. Let x be y(13). Suppose 3*o - 42 = -x*o. What is the smallest common multiple of o and 22?
154
Find the common denominator of 4/1 + 693/(-275) and 32/9.
225
Calculate the smallest common multiple of 8 and (10/(-40))/(3/(-24)).
8
Let t = -15125/2286 + -84/127. Calculate the common denominator of 27/14 and t.
126
Suppose -4*w = -0*w - 8. Suppose -3*u - 4*n = -55, -4*u + u + 67 = -w*n. What is the lowest common multiple of 22 and 7/(-2)*(-60)/u?
110
Let f be -1 + 1/(3/12). Suppose -2*w - 10 = -f*n, 2*n + w = n. What is the smallest common multiple of 9 and n?
18
What is the common denominator of ((-5)/(-2))/(3/7) and -13/22?
66
Calculate the least common multiple of 16 and -1*((-21)/2 + 11/(-22)).
176
Let y = -5 - -8. What is the smallest common multiple of y and 8?
24
Let c be 2/(2/(-2 + 4)). Calculate the lowest common multiple of (c/6)/((-1)/(-3)) and 2/(-5) + 57/5.
11
Suppose -11 = 2*g + 4*f - 51, 5*g = 5*f + 55. Calculate the lowest common multiple of g and 18.
126
Suppose 46 = 2*r - 14. What is the least common multiple of r and 33?
330
Calculate the common denominator of 49/3 and (6/44)/(9/18).
33
Calculate the lowest common multiple of 156/27 - ((-86)/(-18) - 5) and 9.
18
Find the common denominator of -19/27 and (-7)/(-28) + 275/(-12).
27
Suppose -m = -2*m - z + 1, m + 4*z = -11. Let b = 10 + -4. Suppose 4*