and n.
21
Let y = -690953 + 690963. Suppose -1162 = -5*u - 3*k, 5*u - k + 2*k = 1154. What is the smallest common multiple of u and y?
230
Suppose -7*t + 13*t + 924 = 0. Let f = 74 + t. Let k = f + 89. Calculate the lowest common multiple of k and 18.
18
Let q = 384/9673 + -19463/1421931. Calculate the common denominator of -23/77 and q.
27489
Let l be (-310)/6 + (6 - 88/12). Let m = l + 48. What is the common denominator of 39/8 and m/8*3486/(-105)?
8
Let s be 114/27 + 6/(-27). Suppose s*y - 14 = 6. Suppose 3*f + 0*f + 9 = 0, y*f = -2*z + 29. Calculate the least common multiple of z and 12.
132
Let z be 4/(-22) - 831/(-33). Let w(t) = -5*t - 72. Let b be w(-17). Calculate the common denominator of 121/10 and (z/(-20) - -3)*b/(-1).
20
What is the common denominator of -45/533 and ((-1980)/48)/33*24/(-820)*3?
1066
Let x be (-1)/6 + 5/30. Find the common denominator of 90/14*(x - 1/(-6)) and -45/4.
28
What is the common denominator of 39004/(-535080) + ((-2)/26)/((-4)/8) and 2/3 - (-31)/(-12)?
420
Find the common denominator of (-990)/236 + (6 - 11) + 9 and 40/(-240) - (1 - 140/6).
354
Let l(o) = o**3 + 75*o**2 + 3*o + 229. Calculate the lowest common multiple of 872 and l(-75).
872
Let v be (0 - 5) + 8005703692/1454258400. Let x = v + -2/259689. Find the common denominator of x and 91/20.
200
Let c be (-35)/42 - -1 - (-11)/6. Let l = -14 + c. Find the common denominator of 113/(-28) + (l/3)/(-1) and 5/12.
84
What is the common denominator of 78/351 - (0 - 1046/(-252)) and (-6)/(-2) + (-3800)/1072?
938
Suppose -7*y + 12*y - 4 = 4*v, -36 = -5*v - 4*y. Suppose -34 = -2*h + g, -g - v*g + 38 = 3*h. What is the smallest common multiple of 124 and h?
496
Find the common denominator of -89/1950 and 4 - 445/(-135)*588/(-560).
11700
Let n(z) = -z**3 + 33*z**2 + 10*z - 24. What is the smallest common multiple of 22 and n(7)?
1320
Let f be (-284)/(-12) + 5/(-25)*0. Let x = -27615 + 330943/12. Let w = x + f. What is the common denominator of 99/94 and w?
188
Let n = -136 + 196. Suppose 0 = -7*o + 11*o - n. Let x(t) = -12*t - 1. Calculate the least common multiple of x(-1) and o.
165
Suppose 0 = -5*j - 10, 4*u - 5*j + 226 = 612. Calculate the least common multiple of u and 96.
4512
Let b = 4048 - 3724. Calculate the smallest common multiple of 720 and b.
6480
Suppose -28 = 2*n - 36. Suppose 4*w = -5*q - 3, -4*q + 0*w - w = -2. Calculate the lowest common multiple of -10 - -6 - -5*q and n.
4
What is the common denominator of 47/2380 and (-98)/(-150) - ((-590)/1062)/((-5)/(-6))?
11900
Let p = -364123 + 992963410/2727. What is the common denominator of -41/81 and p?
8181
Suppose 4*l = -r + 7, 3*r + 0*l = l - 5. Let s be r/(-2) - (-195860)/52632. Let x = -2/2193 - s. Calculate the common denominator of x and 53/5.
45
Find the common denominator of -39/400 and 4 - (-39)/(-12) - 6307/(-2332).
4400
Let q = -1/2126 + -34546/3189. Let m = -9/1552 + -144977/23280. Find the common denominator of q and m.
30
Suppose -2*g - 10810 - 9826 = 0. Let d = g + 165037/16. Find the common denominator of d and (-58)/24*1 - 3.
48
Let w = -7307/40840 + 4/1021. Find the common denominator of w and 29/648.
3240
Let s = 15379/4 - 3824. What is the common denominator of (14/588)/((-57)/14497) and s?
36
Calculate the common denominator of (2204/57 - 11)/(-21) and -41/4809.
14427
Let z = -115699/12 - -9649. Calculate the common denominator of -93/2044 and z.
6132
Let d = -1180883/333 + 406/37. Let z = 3540 + d. Calculate the common denominator of -131/18 and z.
18
Let p(u) = -71*u - 61. What is the lowest common multiple of p(-1) and 36?
180
Let g = 74989 + -51442519/686. What is the common denominator of g and -45/2744?
2744
Let w(t) = 3*t - 39. Let a be w(29). Suppose -185*g = -187*g + a. What is the least common multiple of 30 and g?
120
Let d(p) = -16*p - 19*p - 11264 + 11267 + 2*p**2 - 8*p**2. What is the least common multiple of d(-3) and 36?
108
Find the common denominator of (-51471)/15265 + 8/(-284) and 29/10175.
10175
What is the common denominator of 133/54 and (2/192)/(18/336*-4)?
432
Let d(b) = -515*b - 38570. Suppose u - g - 22 = 0, -2*u - 5*g = -23 - 7. What is the least common multiple of u and d(-75)?
220
Let a(f) = -2*f**3 - 4*f**2 - 4*f - 6. Let d be a(-4). Suppose -11*w - 336 = 5*w. Calculate the least common multiple of 10 and (-7)/(w/d) + (-2)/(-6).
50
Let r = -9020 - -34657. Let n = 6819465/266 - r. What is the common denominator of 49/8 and n?
1064
Let q = -27 + 27. Suppose 7*l + q*l + 224 = 0. Find the common denominator of 36/5 and (248/l)/(((-22)/(-8))/1).
55
What is the common denominator of 17/176 and (-3 - 1*-2) + 8648/8832?
528
Suppose d = 3*p + 5 + 2, -21 = -3*d + 3*p. Suppose -26 = 9*v + 262. What is the lowest common multiple of d and 9/3 - (2 - v/(-4))?
63
Let a = 55 - 85. Calculate the common denominator of -9/22 and (a/60)/((-156)/254).
1716
Let k = 90 - 326. Let f = -109 - k. Let n = f + -89. What is the smallest common multiple of n and 14?
266
Suppose 0 = -6*y + 22 - 22. What is the common denominator of 12/63*-6 - y and (-1)/6 + (-507)/36?
28
What is the common denominator of 79/36 and (18/132)/(((-162)/(-294))/3)?
396
Let f(u) = 10*u**2 - 278*u - 50. Calculate the least common multiple of f(28) and 5067.
10134
Let b(d) = -7*d + 34 - 19 - 4 + 33. Calculate the smallest common multiple of b(-4) and 90.
360
Suppose -219*h - 22 = -208*h. Find the common denominator of 12/3*(-138)/(-256) and (-7)/(-126)*194*1/h.
288
What is the lowest common multiple of 16 and (765/21)/3 + (-4)/28?
48
Suppose -4*n + 2*n - u = -10, -n - 5*u + 5 = 0. Suppose -n = 10*l - 55. What is the least common multiple of 18 and l?
90
Let v(i) = -i**2 + 68*i + 887. What is the least common multiple of 1028 and v(79)?
9252
Let o = -68/421 + -37333/842. Find the common denominator of o and 53/2260.
2260
Let l = -17810 - -641119/36. Let y = -2789567/48 - -58113. Calculate the common denominator of y and l.
144
Let w = 320 + -200. Suppose -7*b + w = -b. What is the smallest common multiple of b and 22?
220
Let m(b) = b**3 - 112*b**2 + 638*b - 107. What is the lowest common multiple of m(106) and 43 - (2 + -2 + 1)?
210
Let c = 17413/8 - 2173. Suppose 5*l = 0, -2*h = h + 2*l - 31758. Let o = -211779/20 + h. Find the common denominator of o and c.
40
Let r = -1594 - -14368. Calculate the least common multiple of r and 24.
51096
Suppose -76*l + 66233 + 182433 = 51*l. What is the smallest common multiple of 2492 and l?
27412
Suppose 4*i = 16, 0 = 4*t + 4*i - 2*i - 232. Calculate the common denominator of (-240)/(-36)*t/60 and -1/90.
90
Let i(q) = 3*q**2 + 23*q + 64. Calculate the smallest common multiple of 2 and i(-10).
134
Let y = -203 - -191. Let r(n) = 4*n + 66. What is the least common multiple of r(y) and 16?
144
Let p be (-4)/(-6)*((-198)/12)/(-11). Suppose q - 4*l + 2 = 0, -2*q = -0*q - 3*l - 6. Find the common denominator of (-137)/q + (p - 2) and -93/8.
24
Let u = 2969477251389337751/472908 + -6279185912236. Let l be 210/150 - 275853/197045. Let a = l + u. Calculate the common denominator of 7/10 and a.
60
Let j = 469544281/3816 + -1107418/9. Let z = -103176/583 - -1938/11. Let a = z + j. Calculate the common denominator of a and -91/30.
120
Suppose 0 = -5*v + k + 15228, 0 = 36*k - 41*k - 15. What is the least common multiple of v and 8?
24360
What is the least common multiple of (10 - 4)/2*(41 - 1) and 28/21*66*1?
1320
Let p be 3*(-2)/2 - 0. Calculate the common denominator of 38/171*(-1 + 443/(-4)) and 3/2*((-21)/p - -26).
6
Find the common denominator of 11 - (-1527)/(-270) - (0 - -6) and 25/324.
1620
Let x(c) be the first derivative of -4*c**2 + 35*c - 10. Let n be x(10). Let t = -29 - n. Calculate the smallest common multiple of t and 10.
80
Suppose -u = 2*u - 4*k - 42, u = 5*k + 14. Suppose -2*d - 90 = -5*v, 4*d + u + 4 = v. What is the smallest common multiple of 126 and v?
126
Let t(w) = -w**3 + 4*w**2 + 3*w - 3. Suppose -139*y + 10653 = -22813 + 801. Calculate the lowest common multiple of y and t(4).
2115
Find the common denominator of -113/954 and (-16)/6 - (-1802)/371.
6678
Let l(k) be the third derivative of k**4/8 + 11*k**3/3 + 9*k**2. Let r be l(-13). Calculate the smallest common multiple of ((-16)/(-12))/(3 + r/6) and 44.
88
Let j(w) = 41*w - 34. Let i be j(6)