0
Let j(v) = v - 3. Let z be j(6). Find the common denominator of 13/6 and (-194)/36*(0 + z).
6
Let u(j) = j**3 - 2*j**2 - j - 3. Let a be u(3). Suppose 0*l = -3*l + 15, 70 = -5*n + a*l. What is the smallest common multiple of 3 and 2/(10/n)*-5?
33
Let j(t) = t - 27. What is the common denominator of j(0) and -43/4?
4
Let o = 36473/20 + -1829. Find the common denominator of -2 - (31/16 - -2) and o.
80
Let n = -127259/12 + 10613. Calculate the common denominator of -43/24 and n.
24
Let m = 247 - 1231/5. What is the common denominator of m and 4/(-10) + (-265)/50?
10
What is the common denominator of 105/22 and 4/(-14) + (-415)/(-70)?
154
Suppose 14*z - 93 - 33 = 0. Let o = 31 + -21. What is the smallest common multiple of o and z?
90
Let w = 67 + -53. What is the least common multiple of 8 and w?
56
Suppose -5*u = -5*r - 4265, 12 = -8*r + 4*r. Let v = u + -6841/8. Find the common denominator of (-34)/3*1/12 and v.
72
Let u(a) = a**3 + 6*a**2 + 5*a - 3. Let h(d) = d**2 - 7*d + 6. Suppose j - 6*j + 25 = 0. Let v be h(j). What is the least common multiple of u(v) and 6?
18
Let f(j) = -3*j**2 - 1. Let b be f(1). Let d be (-1)/b*21898/278. Let v = 8/139 + d. Find the common denominator of 127/18 and v.
36
Let o(z) = -z**3 - 4*z**2 - 2*z - 6. Let t be o(-4). Suppose 0*p - 40 = -t*p. Let s(l) = 17*l - 1. What is the smallest common multiple of p and s(1)?
80
Calculate the least common multiple of -4 + 5 + 3 + -5 - -7 and 2.
6
Let u be 104/18*(-3129)/7386. Let y = -4/1231 - u. Find the common denominator of -2 and y.
9
Find the common denominator of (28/12)/(2 + 58/(-39)) and 43/36.
180
Let i(b) = -2*b**2 - 22*b + 10. Calculate the least common multiple of 12 and i(-10).
60
Suppose 0 = b - l - 8, 3*b + 2*l = -0*l + 9. Suppose 0 = 5*c - 3*m + b*m - 720, 157 = c + 3*m. Calculate the least common multiple of 2 and 4/24 + c/12.
12
Let j = 188 - 177. Let k(y) = -y**3 - 2*y**2 - 3*y - 2. What is the smallest common multiple of j and k(-2)?
44
Suppose -6*u - 12409 + 3223 = 0. Let m = u + 13795/9. Find the common denominator of 6/7 and m.
63
Let w = 1474 - 3013/2. Calculate the common denominator of w and -85/24.
24
Suppose 3*n - 3 = 39. What is the least common multiple of 20 and n?
140
Find the common denominator of (-818)/80 - 8/20 and -107/10.
40
Let r(z) = -z**3 + z**2 + z + 11. What is the least common multiple of 3 and r(0)?
33
Let q be (-4 - -2) + 4 - 1. Let y be ((-141)/6 - q) + 3. Let n = y + 21. What is the common denominator of -53/11 and n?
22
Let k = -3547/2491 + -16308929/2067530. Let z = -165/83 + k. Find the common denominator of z and -119/18.
90
Suppose 0 = -3*g - 5*y + 20, -2*g = -g - y - 4. Let q(x) = 3*x - 10. Let u = -10 - -17. What is the lowest common multiple of q(u) and g?
55
Let o = -519543/11515 - -2211/49. Let z = 146453/13160 - o. Let u = 39/2 - 259/6. Find the common denominator of z and u.
24
Let c = 7/20 - -187/20. Find the common denominator of c and -49/20.
20
Suppose 0 = -0*j + 3*j - 4*c - 68, c - 116 = -4*j. Suppose -2*n - 36 = -i - 3*n, 0 = -i - 3*n + j. What is the common denominator of 2*2*158/(-48) and i?
6
Let s(k) = k**2 - 7*k - 5. Let n be s(7). Let l = n - -13. Calculate the lowest common multiple of (-11)/(0 + -4 + 3) and l.
88
Let p = -52957673859/1430 - -37033340. Let d = -2553 - -365070/143. Let w = d - p. Find the common denominator of -69/8 and w.
40
Let p(k) = -22*k. Let n be p(-1). Suppose 0 = v - 0*v + n. What is the common denominator of -3 - -2 - (-69)/v and 25/6?
66
Let n = -2811 + 19725/7. Suppose -4*u = -4*l + 36, -3*u + 25 = 3*l - 2*l. Let t = l + -22. What is the common denominator of t and n?
7
Suppose 4*r = -2*r + 78. Suppose y = 1 + r. Calculate the lowest common multiple of 16 and y.
112
Suppose 105 = 5*n - 5*y, 0*y + 103 = 5*n - 3*y. Calculate the lowest common multiple of n and 2.
20
Suppose -2*y = -6 - 8. Suppose 0 = 8*f - 3*f + 5*o, -4*f = -3*o - 28. What is the least common multiple of f and y?
28
Let k = 62 + -53. Calculate the smallest common multiple of k and 24.
72
Let f be -3 - (-2 + (-1 - 6)). Let s be (-220)/15 - (-4)/f. What is the common denominator of 43/2 + s/21 and -53/9?
18
Suppose -4*s + 5*f + 94 = 18, 16 = 4*f. What is the smallest common multiple of 6 and s?
24
Suppose -4*a + 18 = 2*u, -3*a + 10 = 2*u - 6. Let c = -11 + a. Calculate the common denominator of 17 and ((-3)/20)/(c/(-282)).
10
Let k(w) = -w**2 + 9*w - 8. What is the lowest common multiple of (-4)/(-1 - 8/(-12)) and k(6)?
60
Suppose -2*b = 3*v - 0*b - 34, -2*b - 26 = -3*v. Calculate the least common multiple of v and 17.
170
Let f(t) = 9*t - 2. Suppose 8 = y + 3*y. Let a = -21 - -33. What is the lowest common multiple of a and f(y)?
48
Let n be -2 - -1*(0 - -5503). Let w = 99077/18 - n. Let r = -2/23 - -39/184. Calculate the common denominator of w and r.
72
Let w(a) = -3*a - 1. Let i be w(-2). Suppose -2*g + 4 + i = s, -3 = -4*g + s. What is the common denominator of 1/7 and (-3 + 24)*g/22?
77
Suppose -6*c = 33 - 153. Calculate the smallest common multiple of c and 20.
20
Let u = 2/3409 + 323847/13636. Find the common denominator of u and 386/132 - ((-32)/12)/(-8).
44
Suppose 0 = -3*j + 2*z + 102, 0 = -4*j + 5*j - z - 33. Suppose 2*r - j = -r. Calculate the least common multiple of r and 20.
60
Let x be (-8)/(-20) - 176/(-10). Let d = -10 + x. What is the lowest common multiple of 2 and d?
8
Let u(z) = -2*z + 1. Let d be u(-7). Let q be ((-80)/d)/((-22)/(-1806)). Let n = -437 - q. Calculate the common denominator of n and -25/4.
44
Let g be (-52)/(-6) + 0/(-1). Let w = -37/3 + g. Let u = 4807/3 - 1621. Calculate the common denominator of u and w.
3
Calculate the common denominator of -95/2 and 10/(-21)*392/(-96).
18
Let j(v) = -5*v + 1. Let b = 3 + -5. Let w be j(b). Suppose -2*d - 4*f + 58 = 0, 88 + w = 3*d + 3*f. Find the common denominator of 73/8 and d.
8
What is the common denominator of -11/20 and ((-3)/2)/((-105)/553)?
20
Let p(c) = -c**3 + 4. Let a be p(0). Suppose -2*d + d - 27 = -4*i, -5*d - 39 = -a*i. Let r = 3 - -19. Calculate the smallest common multiple of i and r.
66
Calculate the common denominator of 52/9 and -119*((-26)/12)/13.
18
Let k = -66 + 33. Calculate the smallest common multiple of 14 and (-4)/22 - 468/k.
14
Suppose 3*i + j - 3*j = 22, i + 5*j - 30 = 0. Suppose 4 = 2*l - 0, -32 = -2*p + 4*l. Calculate the lowest common multiple of p and i.
20
Let g = 70 + 18. Suppose -3*w + g = w. What is the least common multiple of 4 and w?
44
What is the common denominator of 1/(1 + (-24)/35) and 6/(-9)*((-29)/(-10) + -5)?
55
Let p be (-2)/4 - 2/4. Let m be 2 - 1 - 1/p. Let a(j) = 2*j**3 - 3*j**2 + 2*j - 2. What is the lowest common multiple of a(m) and 3?
6
Suppose -3*i - 16 - 2 = 0. Let x be 1/(-2) + 39/i. Find the common denominator of 40/9 and (x/35)/(4/(-30)).
18
Suppose 8*f = 7*f - 15. Calculate the common denominator of f and 15.
1
Let b(t) = t**2 + 6*t + 6. Let x be b(-8). Suppose k + x = 3*k. Suppose -17 - 1 = -3*u. Calculate the lowest common multiple of u and k.
66
Suppose 0 = -4*a + 8*a + 3136. Let x be a/(-10) - 8/20. Suppose -5*m + z + x = 0, -5*m - 2*z + 81 = 12. Calculate the common denominator of m and -50/9.
9
Suppose -3*b = -b. Suppose b = -5*w + 120 - 30. What is the smallest common multiple of w and (8*2)/(18/18)?
144
Let d = 128553/13810 + -12/1381. Let n = -9343/5 + 1880. What is the common denominator of d and n?
10
Find the common denominator of (-3 - -1) + (-138)/(-15) and -85/8.
40
Let i = -1135/54 + 776/27. Calculate the common denominator of i and 31/18.
18
Let j = 9299/18 - 1025/2. Let h = 943 + -7589/8. Find the common denominator of j and h.
72
Let h(m) = 5 + 0*m**2 - 4*m - m**2 - 6. Let a be h(-5). Calculate the common denominator of ((-4)/24)/(a/(-423)) and -1/6.
12
Suppose f - 30 = -9. Suppose -4*h + f = -87. Let y = h - 19. What is the smallest common multiple of 14 and y?
56
Let g be 913/(-1829) + (-5)/(-10). Let x = -136256/5487 - g. Suppose -12 = -3*k, -2*r + 6*r + 5*k = -96. Calculate the common denominator of x and r.
6
Let z = 17 + -11. Suppose -7*h + 8*h = z. Calculate the smallest common multiple of 10 and h.
30
Let v = -34 - -58. Let b = v - 15. What is the lowest common multiple of b and 2?
18
Let o(d) = -4*d - 1. Let w be o(-7). Let q = 16 - 11. Sup