 + 23. Let o(n) = -n + 11. Let u be o(0). Let w = u + -4. What is the lowest common multiple of y and w?
70
Let r = 14648/19 + -772. Let y = -33607/76 - -442. Let q = y + r. Calculate the common denominator of 37/6 and q.
12
Calculate the smallest common multiple of 40 and (100/6)/((-14)/6 - -3).
200
Suppose 4*k + 2*r = 50, 0 = -k - 3*k + 5*r + 29. Suppose 3*z - 32 = -z. What is the lowest common multiple of z and k?
88
Let t = 8087/1528 - 32/191. Suppose 4 = 5*x + 2*y + 2*y, -3*x = -5*y + 5. Calculate the common denominator of 9/16*(-22 + x) and t.
8
Let x = 12327/4 + -15381/5. Find the common denominator of -137/12 and x.
60
Calculate the common denominator of -26/9 and ((-1)/(-10))/(6/12)*-13.
45
Let r = 18 - 11. Calculate the least common multiple of r and 8.
56
Suppose -6 = -3*p - 0*p. Suppose p*u = 11 + 25. Calculate the lowest common multiple of 10 and u.
90
Calculate the common denominator of 97/4 and 103/10 - (-11)/55.
4
Suppose -77 = -6*t + 139. Calculate the least common multiple of t and 6.
36
Let m = 11 + -2. Suppose 5*f - 7 = -2*r, -15*r + f = -19*r + 41. What is the lowest common multiple of m and r?
99
What is the smallest common multiple of 82/10 + (-1)/5 and 4?
8
Let a = -39823/8 - -4990. Suppose 0 = j - 4*j - 282. Calculate the common denominator of a and (j/6)/((-20)/(-6)).
40
Let q be (20/(-3))/(6/(-18)). Suppose 0*g - q = -g. What is the least common multiple of 8 and g?
40
Let g = -6548 + 78527/12. Let x = 3041/5 - 6009/10. Find the common denominator of g and x.
60
Let a = -4 - -15. What is the lowest common multiple of a and 11?
11
What is the lowest common multiple of (-5)/(-10) + 2/4 + 15 and 16?
16
Let x = 26 - 18. What is the least common multiple of x and (-6)/21 + (-130)/(-14)?
72
Let y = 61 + -60. Suppose 5*j - 52 = 3*u, 4*j + 4*u = 2*j. Calculate the smallest common multiple of j and y.
8
Let v = -37 + 57. Let m(u) = 3*u**3. Let k be m(2). Calculate the least common multiple of v and 22/12 - (-4)/k.
20
Suppose -4*r + 202 = -4*t - 46, 0 = 3*r + 5*t - 170. Let h = 4629 + -64849/14. Find the common denominator of h and (1701/r)/(-7) + 3.
140
Let g = 17 - 15. What is the lowest common multiple of 2/(-10) + 305/25 and g?
12
Let s be (-1)/(-3) + (-242)/(-3). Let o be (-1)/(1 - 84/s). Let f = o + -11. Calculate the least common multiple of 12 and f.
48
Let j(l) = -l**3 + 2*l**2 - 10*l - 24. Let g = 6 + 0. Calculate the lowest common multiple of g and j(-2).
12
Let w(p) = p**2 - 15. Calculate the least common multiple of 2/6 + (-28)/(-6) and w(5).
10
Suppose -o = -2*p + o, 3*p = 4*o - 3. Calculate the common denominator of 12*3*p/192 and -29/8.
16
Let l = 668/235 - 2/47. Let j be (-1)/((-9770)/38063) + -1. Let w = j - -4/977. Find the common denominator of l and w.
10
Suppose 5*y - 3 - 3 = 4*p, -3*p = 3*y - 9. Find the common denominator of y + (-262)/(-12)*1 and 63/2.
6
Find the common denominator of -9/64 and 3 + 136/128 + (-2)/(-8).
64
Suppose -18 + 98 = -5*q. Calculate the common denominator of 37/8 and (-3)/2*(-2)/q.
16
Let n(k) = 8*k**2 + k + 1. Suppose -17 = 5*m - b, 4*b + 3 + 17 = -2*m. What is the smallest common multiple of 1 + 1 + 0/m and n(-1)?
8
Let i be -6 - -3 - 18/(-2). What is the lowest common multiple of i/(-33) + (-114)/(-22) and 8?
40
Let d be ((-92)/(-14))/(21/(-7)). Let j = d - 53/21. Find the common denominator of 47/(-10) + 2/5 and j.
70
Suppose 0*w = 5*v + 3*w - 792, -8 = -2*w. Let c = v + -2145/14. Find the common denominator of 3/14 and c.
14
Calculate the common denominator of -51/44 and 1440/128 - (-5 - -1).
44
Let i = -12093/4 - -3044. Find the common denominator of -29/2 and i.
4
Suppose m + j + 1 = 3, -5 = 2*m + 5*j. Suppose 1 = -2*k + 3*l, -m*k - l + 5 = -k. What is the smallest common multiple of k and 11?
11
Let v = -2826 - -45245/16. Let h = 53905600813/1606 + -33565130. Let a = h + -36/73. Find the common denominator of v and a.
176
Let g = -99/35 + -39/7. Calculate the common denominator of -57/7 and g.
35
Let c(h) = -2*h**3 - 2*h**2 + 2*h + 4. Let z be (4/(-55))/(24/(-54660)). Let x = -167 + z. Calculate the common denominator of c(-3) and x.
11
Let q be (138/(-10))/((-2)/10). What is the common denominator of 109/26 and (q/(-20) - -2) + -2?
260
Suppose 7*t + 16 = 3*t. Calculate the smallest common multiple of (8/6)/((-4)/(-18)) and 112/(-24)*6/t.
42
Suppose -4*p + 0 - 16 = 0, -5*z - 4*p = -14. Let l = -2 + z. Suppose -q + 3 + 4 = 0. What is the lowest common multiple of l and q?
28
Suppose 3*a + 15 = 5*m, -4*a - 29 = -2*a + 3*m. Let k = 553/15 - 327/10. Calculate the common denominator of k and (-47)/a + (-1)/(-4).
60
Suppose 0 = 2*z - 18 + 6. Let y be 2/8 - (-63)/(-12). Let d(i) = i**3 + 6*i**2 + 4*i - 3. What is the least common multiple of d(y) and z?
6
Let g(o) = 3932*o**2 + 3*o - 5. Let r be g(-4). Let k be 5/20 + r/44. Let m = k + -1429. Calculate the common denominator of m and -71/10.
110
Let f = -70951/18243 + 2/6081. What is the common denominator of -63/2 and f?
18
Let d = -188659/23786 + 5/1699. Calculate the common denominator of d and 67/4.
28
Let l(c) = c - 1. Let d(k) = -4*k + 2. Calculate the smallest common multiple of d(0) and l(5).
4
Let a = -2027/78 - -71/39. Let i = 329294/37 + -873905/444. Let y = i + -6921. What is the common denominator of a and y?
12
Let c = -45282 - -1358593/30. What is the common denominator of c and -99/4?
60
Let g = 14/501 + -8267/3006. Let n = 3 + 12. What is the common denominator of g and ((-30)/80)/(n/164)?
90
Let i be (10/(-15))/((-4)/6). Let f = i - 3. Calculate the common denominator of 39/10 and (17/2 - 2)/f.
20
Let x be 4/(-22) - (-230)/55. Suppose -6*f + x = -4*f. Calculate the lowest common multiple of f and 8.
8
Let l(w) = -w + 2. Calculate the smallest common multiple of 20 and l(-2).
20
Let q(j) = -j + 10. Calculate the smallest common multiple of q(-6) and (0 - (-12)/(-10))*-15.
144
Let b = -3 + 7. Calculate the lowest common multiple of b and 7.
28
Let v be -1 + 1 - 1 - 3. Let p = 461 + -4193/9. Calculate the common denominator of p and ((-3)/v)/((-4)/(-10)).
72
Let z = -59 + 73. Calculate the lowest common multiple of z and 20.
140
Let f = -1 + 6. What is the common denominator of 133/6 and f*1/((-55)/42)?
66
Let q be (2 + 14)/(4/(-32)). Find the common denominator of 7/6 and -2*(108/q + 2).
48
Let q(t) = -t**3 - 5*t**2 + 7*t + 15. Calculate the smallest common multiple of 4 and q(-6).
36
Let l = 27829571/15128 + 980/1891. Suppose -1807 = -2*c + 1887. Let b = l - c. Find the common denominator of b and 127/18.
72
Let p be (-798)/4 + 1 - -2. Let q = 4295/22 + p. Let c = 499/20 - 131/4. Calculate the common denominator of c and q.
55
Let l = 54 + -34. What is the smallest common multiple of 20 and l?
20
Let u = 53494961/28 - 1907510. Let k = 6053/2 - u. Let c = -9/4 + k. Find the common denominator of c and -67/22.
154
Let f(h) = -2*h**3 - 2*h**2 - 2 - 4*h**2 - 3*h + h**3. Let m be (12/(-8))/((-2)/(-8)). What is the smallest common multiple of 12 and f(m)?
48
Suppose 2*m = 11*m - 27. Calculate the smallest common multiple of 7 and m.
21
Find the common denominator of (-21)/(-6) + 0 + -3 and -16/11.
22
Let h = 475831/22 + -21625. Find the common denominator of h and 14/42*290/12.
198
Calculate the common denominator of -83/8 and -42*(1/(-50))/((-6)/(-45)).
40
Suppose 4*s + 33 = 3*r, 1 = 4*r + 3*s - 18. What is the least common multiple of 23 and r?
161
Suppose -4*g - 2*l = -0*g - 2, -4*l + 4 = -4*g. Suppose p - 2*d - 12 = 0, -5*d - 9 - 16 = g. Find the common denominator of ((-137)/27)/(p/3) and -67/10.
90
Let n = -2 + 4. What is the common denominator of 67/18 and (n/(-32))/((-15)/(-156))?
180
Let l = 3/66349 + 1937058623/9554256. Let u = -1877/9 + l. Calculate the common denominator of u and -43/22.
176
Let u = -257 - -363. Calculate the common denominator of ((-2)/(-16))/((-2)/u) and -4/11.
88
Suppose 1 = 2*p + 5*d, -6*d - 3 = -3*d. Suppose -c + 9*c = 8. What is the smallest common multiple of c and p?
3
Let y = -15 + 15. Suppose y = 5*g + 25, -4*c + 52 = -g - 3*g. Calculate the smallest common multiple of c and 12.
24
Let m(f) = f + 1. Calculate the least common multiple of m(2) and 2.
6
Calculate the common denominator of (-8)/(-20) + (-3)/((-810)/(-758)) and 121/6.
54
Suppose -10 = 7*t - 2*t, -t - 11 = -3*x.