 - j**2 - 2*j - 1. Let l = 0 - 1. Let z be h(l). Find the common denominator of 1 - (-1 + z/(-24)) and 1/2.
8
Let n(o) = -o + 12. Suppose -l + 0*l = 0. What is the least common multiple of 4 and n(l)?
12
Let r(o) = 60*o. Suppose -2*u = 2*u + 8. Let t be r(u). Let a = t - -2017/18. What is the common denominator of a and 15/22?
198
Let c(q) = q + 10. Suppose -2*v + 5 = 19. Let f be c(v). Suppose 5 = -3*o - 3*w - 4, 2*o - f*w - 19 = 0. What is the smallest common multiple of o and 3?
6
Let i(t) = -t**3 + 7*t**2 + 7*t + 9. Calculate the least common multiple of i(8) and 8.
8
Let w(t) be the third derivative of 0*t - 1/30*t**5 - 2*t**2 + t**3 - 1/120*t**6 + 0 + 7/24*t**4. What is the lowest common multiple of 20 and w(-4)?
20
Let s = -2 + 13. Let a = s + -4. Let l = 15 - a. Calculate the lowest common multiple of l and 8.
8
What is the common denominator of ((-1)/15)/(10/(-2675)) and 99/8?
24
Let y be -3 - -8 - 2/(-2). Suppose -y = -2*x - x. Calculate the smallest common multiple of 36 and x.
36
Suppose -3*q - 8 = -4*q. Let j(s) = -s - 5. Let r(w) = 8*w**3 - w**2 + w + 1. Let l be r(-1). What is the least common multiple of j(l) and q?
8
Let h be (-2 - (-2 + 3)) + -5. Let w(a) = -a**2 - 8*a + 1. What is the smallest common multiple of w(h) and 11?
11
Let k = 431 + -1205. Let j = 533 + k. What is the common denominator of -151/6 and 6/30 - j/(-30)?
6
Let c = -92131/24976 + 2/1561. Find the common denominator of -131/18 and c.
144
Let x = -791/6 - -502/3. What is the common denominator of -59/20 and x?
20
Calculate the lowest common multiple of 42 and (-32)/6*((-45)/(-4))/(-5).
84
Let b = -313 + 2499/8. Calculate the common denominator of b and 15/8.
8
Let f be ((-50)/(-4 - -5))/(-2). Suppose -f*q + 24*q = -4. Suppose 2*d - 8 = -2*d. What is the lowest common multiple of d and q?
4
Let c(l) = l**3 + 5*l**2 - 2*l - 2. Let q be c(-5). Find the common denominator of 3 + 0 - (-67)/q and -25/4.
8
What is the common denominator of 143/18 and ((325/180)/13)/((-2)/(-15))?
72
Calculate the lowest common multiple of 2 and (-5)/15 + (-22)/(-3).
14
Let r(q) = -q**3 + q**2. Let b(n) = 3*n**3 + 4*n**2 + n. Let u(s) = b(s) + 2*r(s). Calculate the smallest common multiple of u(-5) and (2/3)/((-1)/(-9)).
60
Let n = -68 - -144. Calculate the least common multiple of 2 and n.
76
Let i be (4/(-3))/((-10)/15). Let k be -3*246/22 + i. Let z = 971/66 + k. What is the common denominator of -26/5 and z?
30
Let t = 19 - 8. What is the lowest common multiple of 3/(-21) + (-400)/(-56) and t?
77
Suppose -4*u + 6*s - s = 55, 0 = -u + 4*s - 11. What is the smallest common multiple of 4 and u/(-4) + (-3)/(-12)?
4
Suppose -f = -5*f - 4*r + 20, -4*f + 19 = 3*r. What is the lowest common multiple of f and 18?
36
Let k be 1/1 - (4 + -10). Suppose k - 31 = -2*t. Suppose 2*y = -a - a + t, -3*a + y + 2 = 0. What is the smallest common multiple of 3 and a?
6
Suppose x + 8*w - 4*w = 0, 0 = w + 2. Suppose 2*o + 20 = 5*o + 5*l, 4*o - l - 19 = 0. Calculate the least common multiple of o and x.
40
Let d = -1057/19 - -318005/5719. Let l = -20689/3010 + d. Calculate the common denominator of l and 104/15 - (-1)/(-3).
10
Let t = -2013 + 20169/10. What is the common denominator of 117/10 and t?
10
What is the smallest common multiple of (-112)/(-20) + 4/10*1 and 2/8 + 14/8?
6
Suppose 0 = -3*n + 6, -15 = 5*a + n - 72. Suppose -16*o + 17*o = 6. Calculate the lowest common multiple of o and a.
66
Let l(m) = -m**2 - 4*m - 2. Suppose -i + 2*h - 30 = -5*i, -5*h = 5*i - 45. Calculate the lowest common multiple of i and l(-2).
6
Let y(a) = -2*a**3 - 3*a**2 - a + 6. Suppose 2*o + 10*d - 5*d = 17, d = 2*o - 11. Calculate the smallest common multiple of y(-2) and 76/o + 2/(-3).
12
Let d = -189845/7 + 27072. Let b = d + 48. Let l = -262 - -511/2. Find the common denominator of l and b.
14
Let j(p) = -6*p**3 - p**3 + 0*p + p. Let m be j(-1). Find the common denominator of -3/20 and (-2)/(-28) + 18/m.
140
Let z(g) = -2*g - 3. Let d be z(-3). Suppose 0 = d*w - 6*w + 24. Suppose -v + 2*v - w = 0. What is the smallest common multiple of v and 20?
40
Let z = -6 + 8. What is the lowest common multiple of (-1)/(-2) - (-7)/2 and z?
4
Let p(n) = n**3 + 7*n**2 + 6*n. Calculate the least common multiple of 27/5 + (-18)/(-30) and p(-5).
60
Suppose 0 = -5*q + 4*s + 116, 2*q - 2*s - 22 = 24. What is the lowest common multiple of 12 and q?
24
Let q = -318446737602519313889/51025656 + 6240914131560. Let u = q - 1/8328. Let s = u + 116441/85778. What is the common denominator of 79/12 and s?
84
Suppose -8*v = -3*v - 145. Suppose -v = 2*m + 43. Find the common denominator of 22/(-3)*m/30 and -121/10.
10
Let o be 1/3 - (-586)/6. Suppose -65 = -4*g + 2*l + 27, 4*g = 5*l + o. What is the smallest common multiple of 4 and g?
44
Let p = -599/6 + 104. Let k = -12319/20 - -617. What is the common denominator of k and p?
60
What is the common denominator of ((-3)/45)/(2/9) and -109/18?
90
What is the common denominator of 34/3 and (-12)/(-928)*-10*10?
174
Suppose -m + 4*m - 30 = 0. Let t(v) = v**2 + 6*v - 5. Let p be t(-7). Suppose p = h, 2*z - 5 = 3*z - 5*h. What is the least common multiple of m and z?
10
What is the common denominator of 5/30 + 308/78 and -1 - 2 - (-35)/(-18)?
234
Let k(t) = -t**3 + 4*t**2. Let r be k(4). Suppose 0*z - 4*z - 64 = r. Calculate the common denominator of (-252)/z + (-2)/(-1) and -47/6.
12
Suppose z + 2*z = -6. Find the common denominator of 4/z*26/(-20) and 41/8.
40
Let j(v) = -v**3 - 4*v - 6*v**2 - v**3 + 3*v**2 - 3. What is the smallest common multiple of j(-2) and 1?
9
Let b = -393063/530 - -34/265. Let w = b + 781. Calculate the common denominator of w and 119/18.
18
Calculate the common denominator of (508/(-210))/(115/(-25) + 3) and 73/6.
84
Let j = -1605/292 + -1/292. What is the common denominator of j and (-42)/(-12)*(1 - (-24)/(-15))?
10
Suppose -2*g - f = f - 18, -3*f = 4*g - 39. Let q = g - 42. Calculate the common denominator of 99/4 and (66/q)/(2/(-4)).
20
Let v = -2 + 8. Let a = 10 - v. Suppose j - a = -j. What is the smallest common multiple of 4 and j?
4
Let t(u) = -u + 5. Let a be t(0). Suppose 0 = -3*x - a*y + 10, 0*y - 3*y + 6 = 3*x. Find the common denominator of -53/22 and 95/14 + -2 - x.
154
Let c be -3 + (13 - 0) + 3. Let f = 19 - c. Calculate the smallest common multiple of 4 and f.
12
Let x = -65 - -77. Let k(v) = 6*v**2 - 2. What is the lowest common multiple of x and k(2)?
132
Suppose 0*o + 4*o + 48 = 0. What is the common denominator of 87/(-8)*(-4)/o and 1/3 + 338/12?
8
Suppose -4*o + 4 + 52 = 0. Let u = o + -12. What is the least common multiple of 16 and u?
16
Let l = -34 + 60. Suppose 2*r + 12 = 5*r. Calculate the smallest common multiple of r and l.
52
Let b = 8 - 6. Calculate the smallest common multiple of b + (-12 + 0)/(-1) and 4.
28
Suppose 0 = 5*h - 37 - 63. Suppose n - h = -3*d, -2*n + 5*d + 10 - 3 = 0. What is the smallest common multiple of n and 7?
77
Suppose 4*y + 7 = 3*r, -y + 4*r = -5*y + 28. Suppose -5*p = 3*c - 15, -2*p - 39 = -3*c + p. What is the lowest common multiple of c and y?
10
Let q(f) = -4*f**2 + 16*f + 2. What is the smallest common multiple of 26 and q(4)?
26
Suppose 4*f = -0*f - 8. Let h = -42447/19408 - 1/2426. Calculate the common denominator of h and -19*(f/(-40) + 0).
80
Let c = 274243/27 + -10159. Calculate the common denominator of c and 65/6.
54
Let z(u) = -u**2 + 15*u - 4. Suppose -4*t + 3*f - 2*f + 42 = 0, 5*t - 46 = -2*f. What is the smallest common multiple of t and z(14)?
10
What is the common denominator of (-21)/(-14)*(-20)/3 and (31/4)/(9/4)?
9
Suppose -4*i + 33 = -11. Let k = i - 9. Calculate the lowest common multiple of k and (-1 - 9)*-1*1.
10
Let w = 17213/5210 - 2/521. What is the common denominator of 34/3 and w?
30
Calculate the common denominator of -62/15 and ((-20)/(-18))/(((-64)/87)/(-4)).
120
Let n = 12 - -6. Suppose 6*d - 15 = d, -2*d + 81 = -5*s. Let h = -11 - s. What is the least common multiple of n and h?
36
Find the common denominator of -23/8 and (-6)/(-14)*(-51)/(-9).
56
Calculate the lowest common multiple of (0 - (6 - 1))*(-1 + 0) and 17.
85
Suppose 5*h = v - 16, -2*h = 3*v + 2 + 1. Calculate the least common multiple of v and 3.
3
Let b = 43 + -31. What is the least common multiple of 18 and b?
36
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