. Suppose 8 = -q - 4*y - 6, -2*q - 21 = y. What is the common denominator of p and (-2 - 126/q)/(-4)?
40
Let f = -30387677/112 - -271322. Let w = -165/28 + f. Calculate the common denominator of 93/8 and w.
16
Let f = 117559/12 + -9807. Suppose 4*a + 0*a = 24. Calculate the common denominator of f and (11/(-18))/(a/(-117)).
12
Let y(w) = -w**2 - 4*w. Let v be y(-3). Suppose -18 = -v*z - 0*z. What is the smallest common multiple of z and 12?
12
Let n be 10/4 - (-3)/6. Suppose -n*x = 2*x. What is the common denominator of 25/22 and x - (-1 - 69/(-16))?
176
Let s(y) = -y - 7. Let j be 2/5 - (-235)/(-25). Calculate the lowest common multiple of (-185)/(-35) + (-4)/14 and s(j).
10
Let u be 4/6 - (-92)/(-12). Let f = u + 76/7. Find the common denominator of (-12)/6 + (2/(-5) - 1) and f.
35
Let g be 238/63 - 2/(-9). Let a(c) = -3 - 1 - c - g. Calculate the least common multiple of 10 and a(-10).
10
Suppose 2*m + 12 = 6*m. Suppose -y - 24 = -4*y. What is the smallest common multiple of m and y?
24
Let r(m) = m**3 - 15*m**2 + m + 5. Calculate the lowest common multiple of 10 and r(15).
20
Suppose -2*j + 2*y = -128, j + 5*y = 44 - 4. What is the lowest common multiple of 12 and j?
60
Let m(y) = y**3 - 13*y**2 - 26*y - 20. Let h = -16693/36 - -1885/4. What is the common denominator of m(15) and h?
9
Let t be (2/(-2 - 0))/1. Let p(k) = 2*k - 6. What is the lowest common multiple of p(6) and ((-1)/3)/(t/9)?
6
Suppose -104 = f - 5*f. Let a = -15 + f. What is the smallest common multiple of a and -1 + 7 + -1 + 1?
66
Let l = -976 + 7877/8. What is the common denominator of l and -11/10?
40
Suppose 0*j = j - 6. Find the common denominator of 49/6 and (-4)/(-4) + (-109)/j.
6
Find the common denominator of (2/30)/((-4)/(-228)) and -11/6.
30
Suppose 4*l = 15 - 3. Let w be (1 + -1)*1/(-2). Suppose 5*z - 10 = 5*o, 12 = -w*o + l*o. What is the smallest common multiple of z and 14?
42
Let w = 156 - 155. What is the least common multiple of w and 3?
3
Suppose -53 = -3*g - 17. Let m = 18 - g. Let u = 12 - 5. Calculate the lowest common multiple of u and m.
42
Let m(w) = 3*w + 4. Let n be m(3). Let b(q) = -q + q + n - q. Calculate the lowest common multiple of b(9) and 2.
4
Find the common denominator of (-2)/5 - 216/(-15) and 5/4.
4
Let x be (-790)/4*(-4991)/10. Let f = x + -96955. Let z = 1592 - f. Calculate the common denominator of z and 11/6.
12
Suppose 3*x + 60 = 5*x. Suppose 4*s + 2*w = 46, -2*w + 7 + x = 3*s. Calculate the least common multiple of s and -2*(3/(-2) - 2).
63
Let u = 1501/1722 + -25/41. What is the common denominator of -7/4 and u?
84
Suppose -3*b - 2*b + 195 = 0. Let m = 55 - b. What is the smallest common multiple of m and 8?
16
Let a = 23 + -27. Calculate the common denominator of (-54)/(-40) - (-4)/a and -145/6.
60
Let l be -3 - ((-14)/1 + 1). Suppose -4*r = -l - 22. Let u = -42 - -64. What is the lowest common multiple of r and u?
88
Let u = -29/10 - 23/5. What is the common denominator of ((-6)/(-4))/(2/(-60)) and u?
2
Find the common denominator of ((-4)/(-6))/(40/(-678)) and (-7)/(-8) - (-9 + 2).
40
Let j = 4 - 1. Suppose 2*g = -2*g + 40. Calculate the smallest common multiple of j and g.
30
Suppose -5 = -67*d + 62*d. Let z(h) = 2*h**2 + 7*h + 6. Let j be z(-5). Calculate the smallest common multiple of 5 and (2/3)/(d/j).
70
Suppose 5*v - 20 = -5*k, 4*k + 2*v = 3 + 9. Let b(w) = -963*w - 1 - 1 + 970*w. What is the least common multiple of 2 and b(k)?
12
Let z(o) = 2*o**2 - o. Suppose -2*u - 8 = -4*u. Suppose u*d - 4*r - 28 = 0, 3*d - 4*d = 5*r - 25. Calculate the lowest common multiple of d and z(-2).
10
Suppose 4 + 1 = -5*v. Let l be (-2)/(-2) - (v - 5). Suppose -l = -f + 15. Calculate the least common multiple of f and 16.
176
Let u = -28 - -44. Calculate the smallest common multiple of u and 2.
16
Let a = -1639/87 + 39/58. What is the common denominator of -6 and a?
6
Suppose -3*o + 40 = -2. Let r be 21/o + (-1)/(-2). Calculate the smallest common multiple of 5 and 12 - 0 - 0 - r.
10
Suppose -3 = m - 5. Suppose 6*n = m*n + 32. What is the lowest common multiple of 14 and n?
56
Find the common denominator of (3/(-120))/((-2)/(-15)) and -149/18.
144
Suppose -5*v = -117 - 33. What is the least common multiple of v and 16?
240
Suppose -3*l = -q + 5*q - 4, 4*q - 3*l = 4. Suppose 2*z - 2 - 2 = 0. What is the least common multiple of q and z?
2
Suppose -5*w = 50 + 25. Let z be 1*w/((-9)/3). Suppose z*f - v = 41, -2*f = 2*f - 4*v - 20. What is the smallest common multiple of 3 and f?
9
Calculate the lowest common multiple of 24 and 10/(-5)*-11 + -4.
72
Calculate the common denominator of -1/18 and 6/60*14*18/32.
720
Let k(j) = -j**2 - 6*j + 8. Let d be k(-7). Suppose -4*m + m - 18 = 4*h, -2*m + h = d. Let i = 6 + m. Calculate the least common multiple of i and 9.
36
What is the lowest common multiple of 9 and ((-1)/(-2)*-1)/((-4)/192)?
72
Find the common denominator of -11/2 and -9*((-23)/42 - -1).
14
Let a = 10779 - 301867/28. What is the common denominator of a and -11/24?
168
Calculate the common denominator of 55/12 and ((-130)/2)/(4 + 4).
24
Calculate the common denominator of -20 and (-119)/(-5)*7/28.
20
Let k = 369230/99 + -73179/22. Let h = k - 404. What is the common denominator of h and -77/8?
72
Find the common denominator of -3 - 6/32*-74 and (-1 - 93)*(-4)/160.
40
Find the common denominator of 155/78 and (85/20 - (-4 - -1)) + -4.
156
Let j = -7/977 - 91733/14655. Calculate the common denominator of 43/15 and j.
15
Let w be (19479/9)/((-10)/(-3)). Let h = w + -650. What is the common denominator of 49/2 and h?
10
Let h(w) = 78*w + 8. Let p(y) = -77*y - 7. Let k(s) = -5*h(s) - 6*p(s). Let d be k(-2). What is the common denominator of (d/10)/(8/(-5)) and 53/10?
40
Let p(g) = -8*g**3 - g**2 + 1. Let b be p(1). Let a = 3 - b. Suppose 0 = 2*t - t - 2. What is the lowest common multiple of t and a?
22
Let f = -14 + 28. What is the common denominator of -28/9 and 4/f + 2140/56?
18
What is the smallest common multiple of 12 and 1/(-3*4/(-1200))?
300
Let u be ((-5)/(-2))/(2/(-4)). Let d = u + 8. Suppose -2*h = d*h - 90. What is the smallest common multiple of h and 4?
36
Let r = 7 - 4. What is the common denominator of ((-549)/(-84))/(r/2) and (298/(-36))/((-3)/9)?
42
Suppose 0*m = 3*m - 30. Let j(d) = 9*d + 6 - 2*d + 11*d**2 + d**3 + 3*d. What is the lowest common multiple of m and j(-10)?
30
Suppose y = 4*y - 30. Let a = 13 - 7. What is the lowest common multiple of y and -2 + (a + 2 - 1)?
10
Let a = 13 + 7. Calculate the least common multiple of 6 and a.
60
Let z = -32 - -36. Calculate the lowest common multiple of 16 and z.
16
Let d = 12606 + -302477/24. Calculate the common denominator of d and 97/6.
24
Let z(m) = -2*m + 1. Suppose w + 7 = u - 1, -5*w = 3*u. Calculate the lowest common multiple of u and z(-3).
35
Suppose -v - 802 = -0*v. Let q = v + 5627/7. Calculate the common denominator of 5/(-2)*22/(-10) and q.
14
Let w(k) = -20*k. What is the lowest common multiple of 1 and w(-1)?
20
Suppose 3*f - 30 = -5*h, -3*h + 4*f - 20 + 9 = 0. Suppose h*y - 2*y - 10 = 0. Suppose -13*j + 50 = -8*j. Calculate the smallest common multiple of y and j.
10
Suppose 3*n = -2*l - 3*l + 2, 2*n - 2*l - 12 = 0. Calculate the smallest common multiple of 12 and n.
12
Let s = 4 + -3. Let c(o) = -s + 2*o - 4*o - 4. Calculate the least common multiple of c(-6) and 2.
14
Let w be 4232/54*(-6)/(-16). Let p = 857/36 - w. Calculate the common denominator of 21/16 and p.
48
Let r be 0/(0 + 1 + -2). Let y be r - 9570 - (-1 - -2). Let s = y - -153209/16. Find the common denominator of s and 79/12.
48
Let k be 0 + -2 + 0 - -182. Suppose -5*z - k = -z. Find the common denominator of z and 358/(-30) + (-2)/3.
5
Let g = -209/7 + 2797/70. What is the common denominator of g and -49/20?
20
Calculate the lowest common multiple of 92 + (-5)/(-15)*0 and 14.
644
Suppose 12 = 2*r + r. Let g(n) = n**2 - 3*n - 2. What is the least common multiple of 8 and g(r)?
8
Let l be -9*(-3 + 14/6). Let z = 21 + -9. Let a = z - l. What is the least common multiple of 8 and a?
24
Suppose -9 = -2*a + 23. Calculate the lowest common multiple of a and (3/(-5))/((-2)/20) - 0.
48
Let h be 3 - (0/(-1))/(-1). Suppose -h*n = -11 - 1. Let r = 6 - n. What is the lowest common multiple of 6 and r?