2 - 28*n + 29. Let a be s(-29). Suppose a = -2*q + 8, -9*r - 32 = -10*r + 2*q. Calculate the least common multiple of 45 and r.
360
Let g(k) = -4*k**2 + 155*k + 69. Calculate the lowest common multiple of g(39) and 190.
570
Let j = -187186 + 1315520/7. Let h = -20807/28 + j. Calculate the common denominator of h and 95/32.
224
Suppose 0 = -10*j - 12*j + 2104 + 3968. What is the lowest common multiple of j and 308?
21252
Suppose 2*k + 0 = 6. Suppose -5*v + 66 = -69. Let w = v - 18. Calculate the smallest common multiple of k and w.
9
Let i be -3*(-4)/(4/23). Let g = 74 + i. Calculate the common denominator of 29/11 and (g/18)/((-14)/42).
66
Suppose -8*x = -540 - 916. Let i = -157 + x. What is the lowest common multiple of 20 and i?
100
Let x = -125/12 - -17863/1728. What is the common denominator of -5/16 and x?
1728
Suppose -j - 5*s = 395, 0*j + 2*s = 5*j + 2056. Let o = -396 - j. Calculate the smallest common multiple of 210 and o.
210
Suppose -26947 - 28693 = -26*i. What is the smallest common multiple of i and 4?
2140
Suppose -65*u - 1258 = 101*u - 6238. Calculate the smallest common multiple of 1190 and u.
3570
Calculate the common denominator of (7496/936 + -8)/(2/(-4)) and -5/39.
117
Find the common denominator of (196/147)/(12/(-46)) and 267/340 + (-2)/(-10).
612
Let r = 1892 + -1721. Calculate the lowest common multiple of 60 and r.
3420
Let g = 283/410 - 101908/153135. Find the common denominator of 19/5 and g.
7470
Let p = -16908 + 4666481/276. Find the common denominator of -61/207 and p.
828
Suppose -7*m - 20 = 29. Calculate the least common multiple of (-149)/m + (-22)/539*7 and 9.
63
Let k = -2/37125 - 556747/2376000. Let f(u) = -89*u**3 + 3*u**2 + 2*u + 1. Let i be f(-2). Let n = i - 2911/4. Find the common denominator of k and n.
64
Suppose 0 = -3*l + f + 75, -l - 191 = -4*f - 216. Calculate the lowest common multiple of 31 and l.
775
Find the common denominator of -101/616 and 15/(-3) + 20 + 8482/(-560).
3080
Suppose -6*l - 361 = -4*y - 3*l, 3*l + 273 = 3*y. Calculate the least common multiple of ((1 - -1) + (-60)/210)*105/30 and y.
264
Suppose 21 = 5*q - 19. Let a(l) = 2*l - 10. What is the lowest common multiple of a(q) and (-6)/39 - (-186)/26?
42
Let p = 1202153/6902 + -2959/17. Let x = 65759/2956 + 3/739. What is the common denominator of x and p?
812
Let b(n) = n**3 + 8*n**2 + 11*n - 4. Let c = 152 + -157. Calculate the lowest common multiple of b(c) and 28.
112
Let z be ((-40)/15)/((-6)/(-189)). Let k = -1270211/80 - -15877. Find the common denominator of 2/(-3) - 343/z and k.
240
Let k(j) = 2*j - 2. Let l(w) = -w**2 - 2*w + 20. Let t be l(4). Let s be (-6 + -2)*3/t. What is the smallest common multiple of 9 and k(s)?
90
Let j = -186578/11 - -16960. Find the common denominator of j and (-2)/(-7) - 326/210.
165
Let k = -698931 - -6999249/10. Let r = 17851/15 - k. Let g = 191 - r. What is the common denominator of 127/30 and g?
30
Suppose -43*j = -802 - 359. Let b(i) = -i**3 + 9*i**2 - 3*i - 10. What is the lowest common multiple of b(8) and j?
270
Let x = -11347 - -408451/36. Calculate the common denominator of 81/1072 and x.
9648
Suppose -4*v - 1513 = -5*o + 1471, 5*v - 2420 = -4*o. What is the least common multiple of o and 20?
600
Calculate the common denominator of -69/35 and ((-57567)/8680 - (-12)/2)*(-2)/(-42).
1960
Let u(z) = -5*z**2 + 23*z + 7. Let g be u(5). Calculate the smallest common multiple of 49 and g - (-39 + (-9 - -3)).
294
Let r = -7037 - -7041. What is the least common multiple of 3949 and r?
15796
Let t(s) be the first derivative of s**3/3 + 12*s**2 + 160*s + 60. Suppose 90 = -b + 6*b. Calculate the least common multiple of t(-10) and b.
180
Let z = 34223/192930 - 1/64310. Find the common denominator of -23/25 and z.
8175
Let p = 273801934/845 + -324026. What is the common denominator of -53/143 and p?
9295
Let y(j) = j**2 - 8*j + 9. Let x be y(7). Let f be (-13)/(13/(-66)) - x. Find the common denominator of -25/14 and (924/f)/7 - 1.
112
Suppose -2*o = -6*o - 3*p - 22, 14 = -4*o + p. Calculate the common denominator of -29*(-1)/o + 2 and (106/4)/(-12 - 390/(-60)).
44
Let q = 61 + -81. Let o be 3/((-12)/q) - -75. What is the common denominator of -67/24 and ((-84)/o + 1)*(-122 + -1)?
120
Suppose 0 = -120*f + 1593 + 3207. Calculate the least common multiple of f and 120.
120
Let j = 1442 - -3240. What is the least common multiple of 4 and j?
9364
Find the common denominator of (-39)/1638*-70*45/(-4) and 65/244.
244
Suppose 923*l - 914*l = 54. Calculate the smallest common multiple of 210 and l.
210
Suppose -4*o - 5*d + 98 = -115, -231 = -4*o + d. Suppose 0 = -2*x + 6*x - 144. Calculate the lowest common multiple of x and o.
684
Let l = -101 + 121. Calculate the lowest common multiple of (-3156)/(-21) - 12/42 and l.
300
Let d = -9109/380 + 483/19. Find the common denominator of -51/350 and d.
700
Let x = -135/2618 - 1/2618. Find the common denominator of 2/(14/(-6)*(-36)/318) and x.
77
Let z = 1217/7 - 83630/483. Let j = 54/1813 - 261203/65268. Find the common denominator of j and z.
828
Suppose -53*m + 8584 = -12881. Calculate the least common multiple of m and 540.
1620
Suppose 13*o - 10*o - 36 = 0. Let m(i) = 4*i - 5. Let r be (24/(-21))/((-8)/28). What is the lowest common multiple of m(r) and o?
132
Suppose 0 = -17*c + 189*c - 1720. Let n(j) = 2*j**2 + 6. Let l(m) = m - 1. Let w(q) = 3*l(q) + n(q). What is the lowest common multiple of w(-3) and c?
60
Let p = -43783/43257576 - 1/35988. Calculate the common denominator of -57/8 and p.
4808
Let t be (12/8)/((-1)/(-2276)). Suppose 3*c - 2*h = h - 5127, 2*c = h - t. Calculate the common denominator of ((-2)/15)/(66/c) and 87/10.
90
Let x(w) = 2*w**2 - 6*w - 40. Let i be x(-4). Calculate the common denominator of -138*(98/i - 6) and -57/32.
32
Calculate the common denominator of (4 - 695/150)/(104/130) and -97/12.
24
Let r = -25 + 21. Let n = 6 + r. Suppose 0 = 2*h + n*c + 2*c - 28, -4*c = -2*h + 68. What is the smallest common multiple of h and 22?
264
Calculate the common denominator of 2/12*10*(-179703)/(-1047050) and 9/430.
430
What is the common denominator of 9/1050*7085/702 - (-4)/(-10) and -81/28?
252
Suppose -6*w + 1750 = 2*n - 2*w, 0 = -4*n - 4*w + 3520. Suppose -17*s + n = -696. Calculate the lowest common multiple of 18 and s.
558
Let j = -42479 + 30584851/720. What is the common denominator of -31/200 and j?
3600
Suppose 0 = 1359*l - 1352*l - 3815. Let d = l + -415. What is the smallest common multiple of 117 and d?
1170
Let f = 38 + 57. Let c = f + -81. Calculate the smallest common multiple of 8/(-3)*(0 - 3) and c.
56
Let z = 31/383 + -23117/422832. Find the common denominator of z and -15/32.
2208
Let o(x) = x**3 + 14*x**2 - 15*x - 21. Let m be o(-15). Let p be ((-8)/(-3))/((-2)/m). Suppose 3*n + 4*n = p. What is the least common multiple of 8 and n?
8
Let v = -1 + -1. Find the common denominator of (-255)/187*(-198)/20 and v/3 + 165/(-144).
16
Suppose -5*j - 17553 = 8222. Let i be (-1)/(-4) - 5/(j/(-11339)). Let g = 2/1031 - i. What is the common denominator of g and 109/54?
108
Let b = 13088 + -13076. Let l(k) = -12*k**3 - 2*k**2 - k - 3. What is the least common multiple of b and l(-3)?
612
Let w(y) = y**3 + y**2 - 3*y + 10. Suppose o - 6 = m, 0*m = -2*m - 3*o + 3. Let t be w(m). What is the common denominator of (0 + t)*445/(-50) and 85/4?
20
Suppose -6*x - x + 49 = 0. What is the common denominator of (-20)/12 - 3/x and ((-30)/(-63))/((-27)/63)?
63
Let s be ((-7)/(-4))/((-72)/624). Let r = -749/48 - s. Calculate the common denominator of r and 1/20.
80
Suppose y - 26 = -4*i, 2*y - 1 - 42 = -5*i. Suppose 0 = -2*m + 9*m - 749. Let s = m - 91. Calculate the lowest common multiple of y and s.
112
Suppose 3*c + 3*g - 5 = 79, c - 5*g = 52. Let k(d) = -d**2 + 11*d - 8. Let h be k(9). Calculate the least common multiple of 36/90 - 436/h*-1 and c.
352
Let c be (1 - -1)/((-1)/(-3)). Suppose 168 = 5*g - 4*t, -g + t - 183 = -c*g. Calculate the common denominator of g/27 + (-10)/(-12) and 7/36.
36
Suppose 8*v - 59 - 30 = 39. Calculate the least common multiple of v and 684.
2736
Calculate the common denominator of -23*20/(-92) + 1 + 229/(-42) and -137/246.
1722
Let d = 8 + -6. Suppose 133*h - 144579 + 25901 = 50498. Calculate the lowest com