12 - 0 and j.
6
Let o = -6 + 5. Let k(d) = -3*d**3 - 2*d**2 - d. What is the least common multiple of 22 and k(o)?
22
Let c(j) = -j**2 + j. Let y be c(2). Let o be 15/(y*(-3)/(-32)). Calculate the common denominator of (26/8)/((-12)/o) and 71/10.
30
Let z be (4/(-12))/((-18483)/27). Let v = z - 770143/36966. Let f = 866/3 - 293. What is the common denominator of v and f?
6
Let f be 5/(-25) - (-29)/(-5). Let p be (f/(-5))/((-7)/(-3640)). Find the common denominator of 38/11 and p/84 + (0 - -1).
77
Let s = -51977/6 + 8642. Find the common denominator of (3/(-24))/((6/(-4))/3) and s.
12
Let k = 3 - 1. Suppose -1 = -3*p + g - k*g, 4*g = -20. Calculate the least common multiple of p and 6.
6
Suppose 6*n - 10 = 8*n, -n - 29 = -3*h. Calculate the smallest common multiple of 17 and h.
136
Suppose -4*w - 59 = -3*p - 18, 0 = 5*w - 5. What is the lowest common multiple of 6 and 36/(-10)*(-25)/p?
6
Let h(f) = 5*f - 1. Let b be h(2). Let g = b + 1. What is the smallest common multiple of g and 14?
70
Let z = 2/825509383 + -5734208585323281/8255093830. Let d = 695864 + z. Let t = -1229 + d. What is the common denominator of 97/14 and t?
70
Let p(r) = -r**3 - 8*r**2 - 3*r - 19. What is the least common multiple of p(-8) and 11?
55
What is the common denominator of 2/(-8) - (-477)/(-36) and -95/18?
18
What is the smallest common multiple of (-98)/(-5) - (-30)/75 and 4?
20
Let n(t) = -3*t**2 - t + 2*t**2 + 5 + 0*t**2 + 5*t. Let o = -10 - -14. Calculate the least common multiple of 2 and n(o).
10
Suppose 15*n - 10*n = 40. Let h = 12 + 0. What is the least common multiple of n and h?
24
Let d be 2/(-9) + (-549728)/(-198). Let q = d - 2778. Calculate the common denominator of (2/(-22))/((-2)/46) and q.
11
Let h = -8803/6 + 1463. Calculate the common denominator of -99/10 and h.
30
Suppose 0 = -2*h - 4*v + 19 + 13, -2*v = -8. Calculate the least common multiple of 11 and h.
88
Let s = 83 - 38. What is the least common multiple of s and 15?
45
Let v(j) = -j**3 - 6*j**2 + 6*j - 3. Let a be v(-7). Let k(y) = -2*y**2 - 2*y**2 + 1 - 4*y + 5 + 6*y**2. Calculate the smallest common multiple of 16 and k(a).
176
Let z = -9 + 21. Calculate the smallest common multiple of 8 and z.
24
Suppose -9 = z - 2*j, -10 = 3*z - 2*j - 3. What is the least common multiple of 2 and z?
2
Let l = -9193/8 - -1160. What is the common denominator of 9/8 and l?
8
Let o(s) = -8*s**3 + s**2 - 1. Let n be 3/(-1) + (2 - 0). What is the smallest common multiple of 11 and o(n)?
88
Let r = -371/2 + 170. Calculate the common denominator of r and (5/(-2) + 1)*(23 + -32).
2
Let j(h) = h**3 + 12*h**2 + 11*h + 5. Let w be j(-11). Suppose -b + 2*m = 3*m - 1, -5 = -w*b + 2*m. What is the smallest common multiple of b and 8?
8
Suppose 0 = u - 4*u + 3. Suppose -3*f + h + u = -2, -3*f + 3 = 2*h. Let r = 2 + f. Calculate the least common multiple of r and 2.
6
Let s(v) = v**3 - 4*v**2 - 4*v + 1. Let m be s(4). Calculate the common denominator of m/18*135/24 and 43/8.
16
Let f(s) = -13*s**2 + 13*s**2 - 1 + 0 + 5*s**3. Let n be f(1). Suppose 4*v - 5*v - 21 = -4*m, 0 = -5*m + n*v + 18. What is the least common multiple of 5 and m?
30
Let q be -1 + -2 + (-1682)/1484. Let d = -30/371 + q. Find the common denominator of d and 89/14.
14
Let y = -69143/20 + 3455. What is the common denominator of -107/22 and y?
220
Let o = -5 - -3. What is the lowest common multiple of (-4)/(2 + -1 + o) and 10?
20
Let m be -1*(-3 + 2 + -20). Let l = -13 + m. Suppose 0 = 5*x - 5*b - 110, b = -20 + 16. Calculate the smallest common multiple of x and l.
72
Let a be (-5 - -3)/(1/(-2)). Let b be (482/(-6))/(a/(-84)). Let t = 6653/4 - b. Find the common denominator of t and -4.
4
Suppose 100 = 3*t + 2*n, -3*t - 3*n + 99 = -0*n. Let o = -4 + t. Let k = 50 - o. What is the smallest common multiple of k and 8?
40
Let p(y) = 6*y - 4. What is the least common multiple of p(2) and (1 - 0)/((-2)/(-10))?
40
Suppose 0 = -5*o - 2*d + 73, -5*o + 74 = -3*d + 4*d. Calculate the least common multiple of 50 and o.
150
Let u(i) = -i**2 - 3*i + 4. Suppose 4*y + 10 = -2. Let s(r) = 2*r. Calculate the smallest common multiple of s(2) and u(y).
4
Suppose 2 = -3*w + 4*w. Calculate the lowest common multiple of w - (3/1 + -4) and 8.
24
Let s be 98/(-21)*(-6)/(-1). Find the common denominator of 23/12 and (-8)/s - (-174)/(-28).
84
Find the common denominator of 22/35 and ((-39)/75)/(4/210*-3).
70
Let q = -9 - 5. What is the smallest common multiple of 14 and (-12)/(-42) - 52/q?
28
Suppose -5*c - 29 = -69. Suppose -w + 3*w = c. Calculate the lowest common multiple of 20 and w.
20
Suppose -2*t + 4 = -a, 2*a + 0*t = -t - 8. Let n be (0 + 20)*(-2)/a. Calculate the common denominator of 31/10 and (141/(-16))/((-15)/n).
40
Suppose -5*i - 41 = -241. Suppose -4*m = m - i. What is the smallest common multiple of m and 7?
56
Let f(a) = a**2 + 2*a - 1. Let l = -7 - -9. What is the smallest common multiple of f(l) and 10?
70
Let d = -8 + 12. Suppose 6*x - d*x - 12 = 0. What is the lowest common multiple of 11 and x?
66
Suppose 0 = v + 3*u - 31, -4*v + 2*v + 97 = -u. Suppose -4*w = -v - 2. What is the smallest common multiple of w and 12?
12
Let p be (-5)/1 + (-4 - -4). Let w(i) = -i**2 - 6*i + 5. Calculate the lowest common multiple of w(p) and ((-44)/(-4))/((-2)/(-4)).
110
Suppose 0*i = -5*i + 80. Find the common denominator of 21/22 and 6/(-9)*(-63)/i.
88
Let f = 12 + -5. What is the smallest common multiple of 7 and f?
7
Let j be 0*(4/(-1))/(-4). Suppose j = -q - 1 + 11. Let v = 4 - -6. What is the lowest common multiple of v and q?
10
Let k(j) = -3*j + 2*j**3 - j**3 + 30 + 4*j. Let d be k(0). What is the least common multiple of d/(-9)*3/(-2) and 3?
15
Suppose 0*b + 14 = 2*b. Suppose 4*c + 4*y = 36, 2*c - b = -5*y + 2. Calculate the lowest common multiple of 100/8 - (-2)/(-4) and c.
12
Suppose -5*z - 2*w = -3*w + 27, -5*w = 15. Let h(j) = 2*j**2 - 2*j + 1. Let t be h(2). What is the least common multiple of 18 and ((-6)/t)/(z/80)?
144
Suppose -x + 5*s + 5 = 0, -5*x + 17 + 32 = -s. Let l = -14 - -28. Let b = l + -4. What is the smallest common multiple of x and b?
10
Suppose 0*k = k + 2. Find the common denominator of 34/(-4)*3/k and 11/6.
12
Let l be ((-3663836)/48)/11 - 0. Let g = -6949 - l. Calculate the common denominator of g and 47/20.
60
Suppose 464 + 306 = -5*y. Calculate the common denominator of -43/8 and (-259)/y + (-2 - -1).
88
Find the common denominator of 178/(-48) - (-9)/(-27) and -117/20.
120
Let b(n) = -2*n**2 - 1. Let r be b(-1). Let x(l) = -5*l - 1. What is the lowest common multiple of x(r) and 20?
140
Suppose -5*q + 0*q = -20. Suppose -6 = -q*t + 2. Let k(v) = v**3 - v**2 + v. Calculate the lowest common multiple of 8 and k(t).
24
Let w = 168 - 117. Calculate the smallest common multiple of 24 and w.
408
Let v be (438/8)/(1870/24). Let n = -1/374 + v. Calculate the common denominator of 36 and n.
10
Let v be 3*(8/(-4) + 1). Let o(f) = f**2 + f - 4. Calculate the least common multiple of (-7)/(-2) - 1/2 and o(v).
6
Let v = 2911 + -52379/18. Find the common denominator of 7/8 and v.
72
Let p(i) = i**2 + 14*i - 12. Let t be p(-15). Calculate the common denominator of 16 and 3/18 + (-51)/t.
6
Let r = 6467/4 - 1625. Find the common denominator of r and 29/(-4) + (-9)/6.
4
Calculate the common denominator of 161/30 and (25 - (4 - 2))/((-132)/4).
330
Suppose 16*d - 23*d = -14. What is the smallest common multiple of 3 and d?
6
Let l be 4/(-32) + (-31583)/8. Let c = -13370351/3384 + -441/376. Let i = l - c. Calculate the common denominator of -50/7 and i.
63
What is the common denominator of -19/2 and (-241)/(-24) - 5/(-15)?
8
Suppose -6*n - 5*k = -3*n - 24, -n + 5*k = 12. Suppose 4*u - 5 = -u, -4*t - 4*u = -32. Calculate the least common multiple of n and t.
21
Let d be -2 + 2/(-3)*-303. Suppose -3*z + d = 2*z - 3*q, -4*q + 91 = 3*z. Let w = -622/105 + 61/15. Calculate the common denominator of w and z.
7
Let x be (-104)/6*1/6. Let d = 419/36 + x. What is the common denominator of 89/22 and d?
44
Calculate the common denominator of 17/8 and (-16)/(-32) + 57/(-5).
40
Let q = 55 + 17. Suppose -4*s - 5*t = -q, 2*s + t + 3*t - 36 = 0. Calculate the smallest common multiple of 18 and s.
18
Suppose -2*h + h - 7 = 5*f, 13 = -2*f + 3*h. What is the common denomi