 -14 + n. Suppose 0 = -7*i + x*i + 24. Calculate the least common multiple of i and 12.
24
Let a = 2102 + -10472/5. Find the common denominator of a and ((-88)/(-258))/(1/(-3)).
215
Let k(v) = -v**2 + 8*v - 6*v**2 + 9 + 8*v**2. Let x be k(-7). Suppose c + 0*c - x = 0. What is the least common multiple of 4 and c?
4
Let f be (6 - 10) + (-15427)/(-1695). Let w = f - 1/678. What is the common denominator of w and 4/6 - 651/(-90)?
10
Let r = -526 + 1586/3. Calculate the common denominator of 6/(-44)*104/(-6) and r.
33
Let o be ((-1646)/4)/((-1)/(-120)). Let y be 562186/o + (-26)/(-39). Let w = y - -15/823. Calculate the common denominator of 19/20 and w.
20
Find the common denominator of 127/78 and 20/48 + 8 + -16.
156
Suppose -13 = -5*s + 17. Let j = -66 + 75. What is the least common multiple of j and s?
18
Let z(t) = -3*t - 25. Let m = 16 - 8. What is the least common multiple of m and z(-9)?
8
Let w = -111113/33 + 3366. Find the common denominator of 23/9 and w.
99
Let z = 6239798545/2488564 + 700/47857. Let n = z + -2507. What is the common denominator of n and 46?
52
Let u = 197 + -115. Calculate the least common multiple of 10 and u.
410
Suppose 36760 + 1540 = 5*g. Let z = g - 137915/18. Calculate the common denominator of -1/21 and z.
126
Suppose -77*d + 81*d - 315 = -j, j + 1 = 0. Calculate the least common multiple of 8 and d.
632
Let q be (-5 - 2) + -9 - (5 + -1). Suppose 3*d + 205 = -71. What is the common denominator of (d/(-42))/(q/75) and -73/6?
42
Suppose 0 = -5*n + 240 + 60. Find the common denominator of 202/(-44)*-1*1 and -4 + (-5)/(n/(-38))*-3.
22
Let l = 1516 - 1480. What is the least common multiple of l and 160?
1440
What is the common denominator of -1/55 and (-56)/(-90)*-6 + (-36)/(-6)?
165
Let s = 1394 - 1374. What is the least common multiple of 195 and s?
780
Suppose 0 = 4*m + 30 - 6. Suppose -4*t + 37 = -3*c, 33 = 4*t - t - 4*c. Calculate the smallest common multiple of t and (8/(-7))/(m/42).
56
Let a = -12 - -92. Suppose 4*o - a = 64. What is the lowest common multiple of o and 12?
36
Let v be (1 + -1)/(3/(-3)). Suppose -g - 3*g - 28 = v. Calculate the common denominator of (-91)/g*(-7)/6 and 49/4.
12
Let w = 188263/12 - 15680. Let v = -1391347/54 - -25763. What is the common denominator of w and v?
108
Let j = 317/816 - 2/17. Find the common denominator of 151/42 and j.
336
Suppose -5*p + 26 = y, 0*y - 5*p = -3*y - 22. Let k = 4 + -1. Suppose -14 = -k*z - 2. Calculate the least common multiple of y and z.
4
Find the common denominator of 1*1/12 + -2 and 51/(-1)*161/(-1242).
36
Let w(z) = -2*z**2 + 12*z - 10. Let l be w(-11). Find the common denominator of ((-16)/l)/((-2)/388) and -91/4.
12
Calculate the common denominator of 18/8 - 15/10 and 59/14.
28
Suppose 0*f = -f + 5*v + 22, 0 = -2*f - v. What is the common denominator of (-185)/44*f/5 and 5/16?
176
Let n(o) = 9*o + 25. Let w be n(8). Let t = 2 - 2. Suppose 5*k - w - 3 = t. What is the lowest common multiple of 2 and k?
20
Let z = 7118/1155 - -3/770. Let l = 3763 + -22679/6. Calculate the common denominator of z and l.
6
Let y = 63655/3488 - -1/3488. Calculate the common denominator of ((-2)/(-48))/(2/(-51)) and y.
16
Let x = 75848735/119148 - 92/9929. Let t = 641 + -4. Let o = t - x. Calculate the common denominator of o and -103/14.
84
Let j = 1574 - 1430. Calculate the lowest common multiple of j and 16.
144
Suppose -19*o + 441 = -528. What is the smallest common multiple of 9 and o?
153
Let h = 3 - 0. Suppose -h*u - 5*v = -115, u + v = -13 + 48. What is the common denominator of u and -101/10?
10
What is the lowest common multiple of 21 and (-817)/(-13) + (-44)/(-286)?
63
Let b(d) = d**3 + 13*d**2 + 12*d - 15. What is the common denominator of b(-12) and 92/195?
195
Find the common denominator of 34/9*60/16 and -67/14.
42
Let n = -2742 - -30139/11. Let u be (-3)/(-6) - 2931/72. Let y = u - -191/8. Find the common denominator of y and n.
33
Suppose 0 = -c + 3*c - 2*w - 4, -5*w = c - 2. Calculate the smallest common multiple of 15 and 212/7 + c/(-7).
30
Let r(n) = -n**2 - 1. Let t(u) = -3*u**2 - 4*u + 8. Let y(k) = -3*r(k) - t(k). What is the lowest common multiple of 27 and y(2)?
27
Let q = 81 + -80. Calculate the smallest common multiple of q and ((-12)/8)/(3/(-10)).
5
Suppose 2*f = 5*f - 9. Suppose -9 - 11 = -5*l, -5*i - f = -2*l. Calculate the smallest common multiple of 1 + (-1 - (-3 + i)) and 7.
14
Calculate the least common multiple of (-4 - 12/(-4))/(1/(-136)) and 24.
408
Suppose 29*q - 28*q - u - 28 = 0, -2*q - 2*u + 44 = 0. Calculate the least common multiple of q and 15.
75
Let m = 10 + 19. Let b = m - 9. Suppose -10*d + 106 = -54. Calculate the least common multiple of d and b.
80
What is the common denominator of 14/(-6) - (-1625)/350 and -61/51?
714
Suppose r = 3*b + 4*r - 51, -5*r = -2*b - 1. Let n(y) = -22*y - 5. What is the smallest common multiple of b and n(-2)?
156
Let q(c) = -c**2 + 19*c + 74. Calculate the smallest common multiple of 130 and q(-3).
520
Let l be (-1349)/(-234) - 0 - -3. Let j = 80/13 - l. Find the common denominator of j and (124/54)/(8/6).
18
Let d = 390 + -339. Calculate the smallest common multiple of 2 and d.
102
Let f = -5 + 37. Let h(a) = a**3 - 11*a**2 + 13*a - 20. Calculate the lowest common multiple of f and h(10).
160
Let m = -17675/36 + 490. What is the common denominator of 25/52 and m?
468
Suppose -2*k = -5*a + 1814, 3*a + 0*a = 4*k + 3656. Find the common denominator of k/(-36) - (-2)/(-9) and -45/2.
4
Let o(s) = -11*s + 44. Let t(g) = 4*g - 15. Let v(h) = 3*o(h) + 8*t(h). Calculate the lowest common multiple of v(8) and 4.
4
Let s = -3 + 4. Let n(y) = y**3 + 12*y**2 + 10*y + 3. What is the smallest common multiple of (3 - 2)*s*16 and n(-11)?
112
Let j = -2091606982 + 4488588674579/2146. Let s = j - 1/1073. Find the common denominator of 81/34 and s.
34
Let a = -2/3451 + -117328/10353. Find the common denominator of 1 + ((-21)/6 - 3) and a.
6
Let f = -155326/951 - 4/951. Let s = f - -149. Find the common denominator of -145/48 and s.
48
Suppose 7 - 2 = -f. Let m(x) = x**2 + 5*x + 4. Calculate the smallest common multiple of 22 and m(f).
44
Let g(t) = -2*t**2 + 46*t - 27. Let s(q) = -q**2 + 23*q - 14. Let c(u) = -3*g(u) + 5*s(u). Calculate the least common multiple of 14 and c(23).
154
Let z(g) = 4*g - 30. Suppose -2 = -4*w - 58. What is the least common multiple of z(13) and w/(-4)*(-4)/(-7)?
22
Let o(m) = -m**3 + 8*m**2 + 11*m - 4. Let t be o(9). Let k = t - 7. What is the smallest common multiple of (18/(-8))/((-1)/4) and k?
63
Let j = -31 - -25. Calculate the common denominator of (1 - 0)/((-7)/59) and -3 - (149/j + -3).
42
What is the smallest common multiple of 384 and ((-99)/(-15))/((-3)/(-20))?
4224
Let u(f) = -f**3 + 5*f**2 - 5*f + 14. Let b(t) = -2*t**3 + 4*t**2 - 4*t + 15. Let m(v) = -2*b(v) + 3*u(v). Calculate the least common multiple of m(-8) and 22.
44
Let s = -461 + 1745/4. Calculate the common denominator of ((-1725)/108)/5 + 5 + -2 and s.
36
Suppose 4*m + 19 = 5*x, 12 = -0*x + 4*x - 4*m. Find the common denominator of x/((-70)/78) - 2 and 18/7.
35
Let p(h) = 4*h**2 - 3*h + 4. Let c be p(1). Suppose -2*r = -3*v + c*v - 16, 3*r = 3*v. What is the least common multiple of r and 6?
12
Suppose 9*f - 192 = 132. Suppose 0 = 5*m - 16 - 64. Calculate the least common multiple of f and m.
144
Let r = -36167 + 156060602/4315. Let v = r - -117159/940670. What is the common denominator of 59/2 and v?
218
Let q = 903 + -7215/8. Find the common denominator of q and 517/(-110) + 0 + 1.
40
Let m(v) = 13*v**2 + 3*v + 2. Suppose 5*f = 5*t, t - f = -3*t - 3. Calculate the smallest common multiple of 22 and m(t).
132
Suppose -5*h = 954 - 1134. Calculate the lowest common multiple of 8 and h.
72
Suppose -3*w + x - 10 = -43, 45 = 3*w + 3*x. Calculate the lowest common multiple of w and 16.
48
What is the common denominator of 36 and 95/(-10)*2/10?
10
Let z = -6 - -33. Calculate the common denominator of 109/12 and (-12)/405*(2/1 - z).
108
Suppose -14*p + 13*p + 11 = 0. Suppose -2*a = z + 14, -2*z - a = -4*a + 7. Calculate the smallest common multiple of ((-36)/16)/(2/z) and p.
99
Let q = 5394 + -145672/27. Calculate the common denominator of q and 37/195.
1755
Let i(f) = -3*f + 4. Let p be i(4). Let y = 53 - p