d d?
24
Let n(j) = j**3 - 6*j**2 + 5*j - 9. Let s be n(5). Calculate the common denominator of 29/10 and 4/(-6) + (-26)/s.
90
Let t = 6 + -6. Suppose -q - 3*q + 24 = t. Calculate the least common multiple of q and 6.
6
Let x(r) = 8*r + 1. Let a = 19 - 14. What is the smallest common multiple of x(1) and a?
45
Suppose 2*v - 66 = -2*o, 2*v + 133 = 4*o + 7*v. Suppose 1 - 3 = -g. Suppose 0*r = -g*r + o. Calculate the least common multiple of r and 16.
16
Suppose 0 = -r + 13 - 3. Suppose 2*c = r, -v + 0*v + 2*c = 0. Suppose -4*y + 64 = -5*g, 3*y - 5*g - 18 = 35. Calculate the lowest common multiple of y and v.
110
Suppose 39 = -5*c + 139. Suppose -6*x + x + 110 = -2*b, -2*x = 3*b - 44. What is the least common multiple of c and x?
220
Let v = -14/353 - -18877/4236. Suppose -2*f + 2978 = -4*c, 7435 = 5*f + 3*c - 8*c. What is the common denominator of v and 4/10 - f/(-100)?
12
Suppose 3*s = -s - 28. Let m be (-2)/s - (-272)/28. Suppose 0 = -0*n - 2*n + m. What is the smallest common multiple of n and 3?
15
Let y = -25 + 43. What is the lowest common multiple of y and 16?
144
Let l = -60655/28848 + -26/601. Calculate the common denominator of l and -65/9.
144
Let w be (-134)/(-10) + (-18)/45. Let y = -3 + w. Calculate the smallest common multiple of 20 and y.
20
Let n(d) = -16*d - 4. Let a be n(5). Let c be a/1672 + (-6)/(-4). Let l = 81/38 - c. Calculate the common denominator of l and -3/8.
88
Let x(m) = -7*m**2 + 4*m - 1. Let i(a) = -6*a**2 + 4*a. Let o(u) = 6*i(u) - 5*x(u). What is the smallest common multiple of 3 and o(4)?
15
Suppose 0 = -3*r + 5 + 19. Let m(z) = z**3 + 6*z**2 + 4*z - 3. Let u be m(-5). Suppose -t + 6 = u. What is the smallest common multiple of r and t?
8
Suppose 4 - 364 = -12*w. What is the least common multiple of 18 and w?
90
Let z = -49 - -57. Calculate the least common multiple of 9 and z.
72
Let z = -4 + 7. Suppose 4*w + 80 = -3*k, 0 = -z*k + 5*k - 3*w + 42. Calculate the common denominator of ((-2)/k)/((-15)/(-621)) and 67/12.
60
Let v(p) = p**3 + 6*p**2 - 2*p + 6. Suppose -o = -n + 7, 3*o = n - 4*n + 15. Calculate the least common multiple of n and v(-6).
18
Let y be 22/(-48)*(-603)/(-21). Let z = -109/14 - y. Let o = -313/22 + 30/11. Find the common denominator of o and z.
8
Let t be 0 + -1 - (-14833)/14903. Let m = t + -1143223/10645. Let y = 5203/45 + m. What is the common denominator of y and 9/11?
99
Let o be (-3)/((2 - 3)*-1). Calculate the lowest common multiple of 2/(4/o)*-6 and 4.
36
Suppose -30*q = -31*q + 20. What is the least common multiple of q and 8?
40
Let s = -5401 + 75529/14. Calculate the common denominator of -127/54 and s.
378
Calculate the common denominator of ((-1)/(-4))/((-15)/(-140)) and ((-216)/(-10))/((-2)/1).
15
Find the common denominator of -73/9 and 4/88*-74 - 1.
99
What is the lowest common multiple of 9 + -3 + -1 - 4 and 6?
6
Let o = 2 + 10. Suppose 0 = -4*p + 3 + 53. Calculate the lowest common multiple of o and p.
84
Suppose -7 = 3*h - 43. Suppose 2*j - 12 = 4*n, -48 = -3*j - j + 2*n. Calculate the least common multiple of j and h.
84
Suppose 0*f + 15 = -f. Let g = f + 37. Calculate the least common multiple of g and 14.
154
Let l = -15810/184663 + 2/3929. Let d = -1505/564 - l. Find the common denominator of d and -19/2.
12
Find the common denominator of 67/6 and (-104)/(-22) - (136/22 + -6).
66
Let j = 186 + -2040/11. What is the common denominator of j and -73/2?
22
Suppose 5*p = 2*p + 4*j - 8, 2*j = 4*p - 6. Calculate the common denominator of (-114)/16 - (4 - p) and 2/(-9) - 154/(-45).
40
Let o = 9622/9 - 1062. Calculate the common denominator of o and 43/9.
9
Let m be 2/(-4) + 23/2. Let c(v) = -v**2 - 2*v + 2. Let w be c(-4). Let o = m + w. What is the lowest common multiple of o and 4?
20
Let g = -209 + 853/4. Find the common denominator of ((-250)/(-4))/((-9)/1) and g.
36
Suppose 3*k = 0, -k = -0*a - 4*a + 40. Suppose 3*c + 48 = -3*g - 0*g, 0 = 5*g - a. What is the common denominator of 23/8 and (-71)/c + 1 - 2?
72
Calculate the common denominator of 5/(-18)*357/(-15) and (-138)/(-21) - (-2)/(-4).
126
Let f = -36 - -56. Calculate the lowest common multiple of f and 8.
40
Suppose -4*n + 8 = -0. What is the smallest common multiple of n and 2?
2
Suppose 4*q = 5*z + 5107, q - 3961 = 4*z + 129. Let a = 10221/10 + z. What is the common denominator of a and 13/8?
40
Let j(g) = g**3 - 2*g**2 - 6*g + 6. Let t(z) = -z**2 + 2 + 2*z**2 + z**2 + 6*z. What is the lowest common multiple of j(4) and t(-4)?
70
Suppose 3*r = -0*r + 6. Suppose 6*g = 5*a + g - 55, -a = 3*g - 3. What is the least common multiple of a and r?
18
Calculate the common denominator of 524/720 + (-2)/(-9) and 25/8.
40
Let u be -117*(0 + 1/(-3)). Suppose 61 = 5*d - u. What is the smallest common multiple of d and (4 + 1)/((-1)/(-2))?
20
Let f(y) = -6*y - 3. Let h be f(-4). Let k = 143/4 + -55/2. Calculate the common denominator of k and h/(-36)*428/(-42).
36
Let t = -359/14 - -22/7. What is the common denominator of t and (-109)/24 + 230/345?
8
Let i(v) = v**3 - 4*v**2 + 4*v. Let a be i(3). Suppose -12 = -n - a*g, 0*n + 48 = 4*n - 4*g. Calculate the lowest common multiple of 9 and n/(-9)*(-6)/4.
18
Suppose 8 = -s + 3*s - 2*r, s - 5*r = 12. What is the common denominator of -11/6 and 31/(-5) + -1 + s?
30
Let y = 16 - 2. Suppose -5*o - 2*v = -100 - 10, -3*o - 5*v + 66 = 0. What is the lowest common multiple of o and y?
154
Suppose -3*o - g - g + 8 = 0, -5*o + g = -35. Calculate the lowest common multiple of 25 + 2 + o + -7 and 20.
260
Suppose 0 = -4*o - 23 - 5. Calculate the common denominator of (o/40)/(6/36) and -61/20.
20
Let b = -12 + 26. Let m = b + -6. What is the least common multiple of m and 9?
72
Let k be (983/(-27))/(6/(-234)). Let m = k + -1415. Find the common denominator of -9 and m.
9
Suppose -d + 6*d - 50 = 0. What is the lowest common multiple of d and 2?
10
Suppose 3*m = -t - 34, 3*m - 2*m + 4*t = -26. Let u(h) = -h**2 - 10*h + 2. Let p be u(m). Let f = p + 6. Calculate the smallest common multiple of f and 16.
16
Let n = -12 + 22. Let l(b) = -b**2 + 11*b + 2. Calculate the least common multiple of (-20)/(-15) + 4/6 and l(n).
12
Let z(i) = 2*i**2 - i - 2. Let w be z(-2). Suppose 5*x + w = 3*x. What is the smallest common multiple of (-1 - 3)/(x/22) and 10?
110
Let j(g) = -2*g. Suppose -s = -2*s. Let f(r) = r - 2. Let w be f(s). What is the lowest common multiple of 4 and j(w)?
4
Suppose 37*c - 53*c + 64 = 0. Suppose 4 = -4*t - 8. Let u = t + 5. Calculate the lowest common multiple of c and u.
4
Suppose 5*b + 8 = -12. Calculate the smallest common multiple of 18 and 8 - (-3 - (b + 3)).
90
Let p = -2/22169 - 687109/1440985. Let l = p + 1/13. Calculate the common denominator of 1/(-3) - (-22)/18 and l.
45
Find the common denominator of (105/(-27))/7 + 1 and (-3)/((-18)/34) + 1.
9
Let g = 110209531/10 - 11032158. Let b = 11194 + g. Calculate the common denominator of 9/16 and b.
80
Let u = 251 - 3969/16. Find the common denominator of 41/8 and u.
16
Let z(p) = -79*p**3 + p**2 - p - 1. Let s be z(-1). Calculate the common denominator of 1/5 + (-726)/s and (1 + 0)*42/(-16).
8
Let u(h) = -3*h + 76. What is the least common multiple of 19 and u(23)?
133
What is the common denominator of 18/(-16)*(-308)/21 and (-1281)/120 - (-3)/(-15)?
8
Let k(w) = 0*w - 6*w + 2 - 3. What is the least common multiple of 5 and k(-1)?
5
Let w(g) = g**3 + 3*g**2 - 3*g + 2. Suppose 2*l - 1 = -7. Let i be w(l). Calculate the common denominator of 115/14 and 1/i*(-105)/(-2).
154
Suppose -2*l - 16 = 6. Let c = l + 27. Calculate the lowest common multiple of 20 and c.
80
Let y = 20 + -10. Let k be (-3 + 13)*(-2)/(-4). Suppose k*u - y = -2*p + 15, -2*u - 2*p = -16. What is the smallest common multiple of u and 7?
21
Let l = 13 - 2. Calculate the lowest common multiple of l and (-28)/(-5) - 24/40.
55
Suppose 3*u - 81 = -6*u. What is the least common multiple of 18 and u?
18
Let g = -15803 - -347729/22. What is the common denominator of g and -49/158?
1738
Suppose -19*b = -20*b + 10. Calculate the smallest common multiple of 20 and b.
20
Suppose 0 = 7*m - 3*m - 5*l - 12, 0 = 3*m - 5*l - 4. Suppose 4*c = i - 4*i + 6, 4*i + c = m. Find the common denominator of (1/20)/(i/(-202)) and 61/10.
20
Let u = 63 - 52. Calculate the least common mu