
12
Let i(b) = -b**3 - 5*b**2 + 6*b - 5. Let v be i(-6). Let o(h) = 7*h**3 + h - 1. Let p be o(1). Let q = v + p. What is the lowest common multiple of q and 14?
14
Let n(a) = 2*a - 7. Let s = -4 - -10. Let b be n(s). Suppose 3*z - 87 = -4*w + 6*z, 110 = b*w - 4*z. What is the least common multiple of w and 20?
180
Suppose 5 = 2*m + 3*y - 14, 2*y = 4*m - 14. Suppose l - 5*l + 3*v - 26 = 0, -2*v = 3*l + 11. Calculate the smallest common multiple of 14 and -1 + l/(m/(-21)).
140
Let z(c) = 4*c**2 + c + 7. Let m(v) = -5*v**2 - 2*v - 8. Let d(u) = -5*m(u) - 6*z(u). What is the lowest common multiple of 1 and d(-6)?
10
Let a = -11 + 5. Calculate the common denominator of -35 and a/(-10) + (-298)/55.
11
Suppose -2*k + 16 = 2*k. Suppose k*n - 5*n = -27. Suppose -2*j + 2*f = 3*f - 9, 0 = -4*j + f + n. Calculate the least common multiple of j and 5.
30
Let o = -345 + 349. Let x be 2/(-8) - (-30)/(-8). Calculate the lowest common multiple of (-3 + 1)*x*1 and o.
8
What is the common denominator of -2/5 and 1 + -2 + 1275/(-68)?
20
Let s(l) = l**2 + 3. Let r be s(-3). Calculate the common denominator of 77/2 and 104/r + (-2)/(-4).
6
Let c = -6767/12 - -1678/3. Calculate the common denominator of 47/3 and c.
12
Let n = 3366 + -16769/5. Let c be 2 - ((-15113)/(-4) + -1). Let j = 3798 + c. Calculate the common denominator of j and n.
20
Let q = 11075 - 243741/22. What is the common denominator of ((-124)/14)/((-8)/(-6)) and q?
154
Let j(i) = 2*i + 12. What is the lowest common multiple of j(-5) and (0 + 6)/(8/12)?
18
What is the smallest common multiple of 4 and -4 - (-7 + 4 + -3)?
4
Let m(q) = q + 2. What is the lowest common multiple of m(0) and 9?
18
Let p(w) = 2*w**2 - 2*w - 2. Let q be p(-3). Suppose q + 2 = 3*k. Let x(n) = n + 2. What is the smallest common multiple of 4 and x(k)?
20
Let i = -23 - -38. What is the lowest common multiple of i and -9*(2 - 4)/2?
45
Suppose -2*r - 4*t - 3 - 1 = 0, -3*t = 2*r. Find the common denominator of 45/14 and 626/140 - r/15.
14
Suppose -4*h - h + 25 = 0. Suppose 2*s - 15 - 13 = 3*m, h*m = -4*s + 34. What is the least common multiple of s and 1?
11
What is the common denominator of -61/24 and 387/(-30)*3/((-36)/(-10))?
24
Suppose -k - 6 - 20 = 0. Calculate the common denominator of k and -34/7.
7
Let a be (-16)/(-9) - 2/(-9). Calculate the least common multiple of 1/(a/40) + 2 and 8.
88
Let x(d) = d + 22. Calculate the smallest common multiple of x(0) and ((-70)/(-20) - 1)/((-1)/(-4)).
110
Calculate the least common multiple of ((-1)/2)/(2/(-24)) and 10.
30
Suppose -t = 1 - 0. What is the common denominator of 113/14 and (t - 1) + (-93)/(-10)?
70
What is the common denominator of 6/(-112)*(-170)/15 and 11/9?
252
Let p(i) = -i - 2. What is the least common multiple of p(-11) and 2?
18
What is the lowest common multiple of (-135)/(-9) - (0 + 1) and 106?
742
Let b be -334*(332/(-22))/(-2). Let i = -2522 - b. Calculate the common denominator of i and 35/3.
33
Suppose -29 = 2*b - 13. Calculate the common denominator of (11/b)/((-2)/56) and 13/6.
6
Find the common denominator of 1 - ((-107)/12)/(6/12) and -65/36.
36
Let n = 5/13 - 2/39. Calculate the common denominator of n and -95/6.
6
Suppose -3*g = -2*g + 2575. Let l = g + 41173/16. What is the common denominator of l and 1/18?
144
Suppose -5*u + 13 = 73. Calculate the common denominator of -137/6 and ((-71)/u)/(4/3).
48
Let w = 187 + -3365/18. Find the common denominator of 3/(-12) - 61/(-12) and w.
18
Let r = 13 - 2. Calculate the least common multiple of r and 44.
44
Let r = 4 - 1. Suppose 4*n = r*n + 8. Let x = 3 - -5. What is the lowest common multiple of x and n?
8
Suppose -2*d = -9 + 3. Suppose -d*j + 2*j + 1 = b, 3*b = -9. What is the lowest common multiple of 2 and j?
4
Suppose 3*p + 0 = -3*x + 3, 4*p = -2*x - 6. Calculate the smallest common multiple of x and 19.
95
Let g = 11 - -6. What is the lowest common multiple of g and 4?
68
Suppose 4*l - 100 = -4*j, -3*j + 0*j + 27 = l. What is the least common multiple of 14 and l?
168
What is the common denominator of (-1394)/(-224) - (-8)/(-28) and -149/6?
48
Suppose 5*p + 0*o - 2*o - 28 = 0, -p = -o - 8. Suppose -2*r - p = -20. Calculate the lowest common multiple of r and 22.
88
Let s(u) = 2*u - 2*u**2 + u**2 - 3*u + 3. Let d be s(-3). Let x = d - -10. What is the lowest common multiple of 1 and x?
7
Let b be 74/6 + 1/(-3). Let g = -7 + b. What is the least common multiple of 3 and g?
15
Calculate the lowest common multiple of 2/4 + (-23)/(-2) and (3 - (2 + -8)) + -3.
12
Let p = 21 + -13. Calculate the lowest common multiple of 246 and p.
984
Let n be 4/10 + (-4)/10. Suppose n = -a + 5*m - 24, a + 2*a = -3*m + 18. Suppose -f = -4 - a. Calculate the smallest common multiple of f and 1.
5
Let g = 366886/33 - 11120. Calculate the common denominator of 121/10 and g.
330
Let h = 228 + -471/2. Calculate the common denominator of 77/8 and h.
8
Let u = -126 - -140. What is the least common multiple of u and 24?
168
Let n(r) = r. What is the lowest common multiple of n(8) and 20?
40
What is the common denominator of -3 - 47*2/(-36) - 2 and -25/7?
126
Let d = 2592 - -2442. Calculate the common denominator of 3/(-27) - d/(-108) and ((58/(-6))/1)/(-3).
18
Let w(i) = -i**2 + i + 1. Let c(v) = -5*v**2 + 5*v + 12. Let m(b) = -c(b) + 4*w(b). What is the least common multiple of 4 and m(6)?
44
Let m(j) = j**3 - 11*j**2 - 10*j + 16. Let r be m(12). Suppose -r = f - 5*f. Calculate the least common multiple of 20 and f.
20
Let l = 1848 + -12907/7. Find the common denominator of 27/11 and l.
77
Suppose -3*k + 3*f + 1 = 2*k, -5*k - 4*f - 13 = 0. What is the smallest common multiple of (-1)/(4/6 + k) and 2?
6
Suppose 5*h + 0*y - y = 72, 48 = 3*h - 3*y. Calculate the smallest common multiple of h and 18.
126
Let m = 2 + 6. Suppose 0 = -6*t + 2*t - m. Find the common denominator of -83/6 and 65/(-6) + t + -1.
6
Let a(y) = 5*y - 1. Let h be a(1). Suppose -h*c = -5*c. Suppose -j - 16 = -4*u - 6*j, -5*u - j + 20 = c. What is the smallest common multiple of u and 16?
16
Let u = -21/4 + 99/16. Find the common denominator of u and 27/189 + (-214)/28.
16
Suppose -12 = -3*b - 3. Calculate the lowest common multiple of b and 7.
21
Let x(s) = s - 6. Let t be x(10). Suppose 5*z + 4*w + 12 - 127 = 0, -t*z - w = -103. Calculate the common denominator of 103/6 and ((-3)/z)/((-2)/(-213)).
6
Let z be 4*2/(-4)*-4. Let c(q) = 4*q + 10. Let o(j) = 5*j + 10. Let w(v) = 6*c(v) - 5*o(v). Calculate the smallest common multiple of 4 and w(z).
4
Let w(s) = s**2 + 9. Calculate the smallest common multiple of w(0) and (-2*(0 + -2))/2.
18
Suppose i + 2*l = 21, 3*i + 5*l - 3*l - 43 = 0. Let v(a) = a + 1. Calculate the lowest common multiple of v(5) and i.
66
Let c = 7305 - 10763. Let l be -5 + 8 - (-27774)/8. Let q = l + c. Calculate the common denominator of 95/6 and q.
12
Suppose 3*r = r - 62. What is the smallest common multiple of 2 and (-10)/30 + r/(-3)?
10
Let s = -167/189 + 17/21. Calculate the common denominator of s and -37/15.
135
Find the common denominator of 7/9 and 1/(-2 - 67/(-33)).
9
Let d(z) = z**3 + 5*z**2 - 3. Let o be d(-5). Calculate the least common multiple of 10 and o/(-2)*(-4)/(-6).
10
Suppose -44*f + 47*f = 60. Calculate the lowest common multiple of f and 206.
2060
Let f = -149805/16 - -9359. Let y = 6953/780 - -76/65. Find the common denominator of y and f.
48
Let v(h) = h**3 + h**2 - 3*h - 3. Let c be v(-2). Calculate the common denominator of 61/9 and (c + -22)/(-11*1).
99
Let g = -6/31 + 80/93. Let p = g + -11/2. What is the common denominator of 95/18 and p?
18
Let h(s) = -s**3 + 2*s**2 + 5. Let g(u) = u**2 - 5*u + 4. Let i be g(5). What is the common denominator of -65/4 and h(i)?
4
Let p be 1/(1897/(-2) + 1). Let i = p + 81503/17055. Calculate the common denominator of i and 5/(-1)*(-8 - 430/(-60)).
18
Let p = -4 - -6. Suppose -4 = -p*y, -3*y - 2*y = -3*s + 5. Calculate the smallest common multiple of 4 and s.
20
Let o(i) = 4*i**2 + 6*i + 3. Let t(v) = -v**2 + v + 1. Let q(s) = -o(s) - 3*t(s). Let h be q(-8). Let g = h + 5. What is the least common multiple of 10 and g?
70
Suppose 28 = o + 18. What is the least common multiple of 34 and o?
170
Suppose 3*u + 11 = 2*b, -5*b + 3*u + 31 = -b. Suppose -2*h = -4*h + 4. Suppose -h = -s -