 = 0, -4*t = -3*x - 96 - 7. Let q(z) = -z**2 - 26*z + 98. Calculate the least common multiple of q(x) and 53.
583
Suppose 5*b - 96 = b. What is the least common multiple of b and 57/171 - 51/(-27)*3?
24
Let k(y) = -y**2 + 6*y - 3. Suppose 5*h + 4*h - 54 = 0. Suppose -2*v + 5*v - h = 3*l, 0 = -2*l - v + 11. Calculate the least common multiple of k(l) and 14.
42
Suppose 4*a + 0*a = 64. Let m(o) = 8*o + 45. Let b be m(12). Let g = b + -79. What is the lowest common multiple of a and g?
496
Let b = -7949 - -365759/46. What is the common denominator of (-6)/(-2) + 66*(-1)/40 + -6 and b?
460
Let p(o) = -o + 91. Let k(u) = -2*u**2 + 16*u - 45. Let t be k(4). Calculate the lowest common multiple of p(t) and 1.
104
Find the common denominator of ((-32)/96)/(2/204) and (-1362)/420 - (-6)/10.
14
Let s = -697/28 + 11747/448. What is the common denominator of 59/136 and s?
1088
Suppose 25*u + 125 = 275. Calculate the smallest common multiple of u and 630.
630
Let b = -209111/20 + 10452. What is the common denominator of b and 47/414?
4140
What is the common denominator of ((-72)/18)/54936*-32 and 76/81?
61803
Let d(j) = -j**2 + 23*j - 71. Let c be d(19). Suppose 4*a + 5*b = -9, -a + 3*b = c*b + 6. Calculate the smallest common multiple of 76 and a.
76
Suppose 42*d = 59*d + 159*d - 12672. What is the smallest common multiple of 747 and d?
5976
Let j(v) = -3*v + 7. Calculate the lowest common multiple of j(0) and 878.
6146
Let o(u) = 56*u - 112. Let n be o(2). Suppose 2662*w - 2661*w - 744 = n. Calculate the lowest common multiple of w and 2.
744
Suppose -8*i - 4 = -9*i. Suppose 6 + 2 = i*y. Find the common denominator of ((-2)/y)/(-5) + (-5478)/(-1760) and -13/12.
48
What is the common denominator of (-81)/(-940)*-1*((-28504)/(-546) + -52) and 57/6721?
33605
Suppose -5*w - 5*q = -2*w + 347, -5*w - 635 = -3*q. Calculate the common denominator of (-288)/77 - (-4)/14 and w/(-16) - -3*1.
44
Let x be 321/(-2)*(-96)/72. Suppose -321 - x = 5*b. Let h = -96 - b. Calculate the smallest common multiple of h and 10.
110
Let f = -6028 + 6060. What is the lowest common multiple of 192 and f?
192
Let k = -1518577/30 + 50624. What is the common denominator of k and ((-14)/7 + (-1 - 474/(-160)))*116?
60
Let v be 1/(-10)*6 + 9564/(-60). Find the common denominator of -11/24 and v/51 + 11/((-33)/(-6)).
408
Suppose 0 = 4*k + 12, 2*t + 0*k - 144 = -4*k. Suppose 3*v - v - 128 = 0. Let y = t - v. What is the smallest common multiple of 2 and y?
14
Calculate the lowest common multiple of 10 and -1 + ((-564)/48 + 11)*(-1684)/3.
420
Let x be 1 + 4/1 + (2 - 9). What is the common denominator of 3/144*-58 - x and -35/48?
48
Let u(p) = p**3 + p**2 - 16*p - 28. Let n be u(-3). Suppose v = -5*d + 174, n*d + 3*v = -2*v + 65. Calculate the lowest common multiple of d and 42.
210
What is the least common multiple of 710/(-142)*((-4)/(-12)*0 - 499) and 55?
27445
Calculate the common denominator of (-15)/54*((-825)/20)/(-5) and 210/(-108)*1425/(-266).
24
What is the common denominator of -5/177 and (-15)/20*33/3510 - 81/216?
23010
Let t = -80 + 95. Suppose 4077*q - 4056*q - 126 = 0. Calculate the lowest common multiple of q and t.
30
Let d = -3909 + 3951. Calculate the least common multiple of 6 and d.
42
Let b = -8640 - -9585. What is the lowest common multiple of b and 945?
945
Let w(q) = -5*q + 21. Suppose 0 = -2*t + 5*t + 18. Let o be 6*5/15*t/(-4). Calculate the smallest common multiple of w(o) and 30.
30
Let l = -2232 + 2244. Calculate the lowest common multiple of 194 and l.
1164
Suppose 12*d + 64 = 4*s, -5*s + 26*d - 30*d = -61. Let u(t) = t**2 - 7*t - 4. Calculate the least common multiple of u(8) and s.
52
Let g(p) = p**3 + p**2 - 6*p + 4. Let l be g(0). Suppose -3*w + 8 = 2*n + 1, 13 = 3*w - l*n. What is the smallest common multiple of 57 and w?
57
Let i = 53738 - 3869009/72. Calculate the common denominator of i and -95/256.
2304
Let j(k) = 3*k + 36. Let h be j(-8). What is the common denominator of h/(-600)*1635/(-6) and 19/32?
160
Let t = -14150687/309 + 45795. What is the common denominator of 61/81 and t?
8343
Suppose 304*s - 1364 = 242*s. What is the lowest common multiple of s and 110?
110
Let p be 28 + (-5 - (2/6 + 180/(-54))). Let n be ((-206)/(-12))/((-4)/6). Let x = p + n. Calculate the common denominator of 31/8 and x.
8
Let x = 13469 + -13461. Calculate the least common multiple of x and 92.
184
Suppose 137*n - 2970 = 9634. Calculate the smallest common multiple of n and 2162.
4324
Let u(i) = 136*i + 452. What is the lowest common multiple of 154 and u(-3)?
308
Let u = 4727 - 4671. What is the least common multiple of u and 8?
56
Suppose -39*x + 40*x = 164. What is the lowest common multiple of 168 and x?
6888
Let k(l) = l + 2. Suppose -3*f = -2*w - 11, -5*f + 3*w + 15 = -f. Calculate the smallest common multiple of ((-4)/(-6))/(1/9) and k(f).
30
Let y(p) be the third derivative of p**4/8 - p**3/2 - 2*p**2. Suppose 173 + 1334 = 137*w. Calculate the least common multiple of w and y(5).
132
Find the common denominator of 0/6 + (-324)/16 and -23 - ((-28)/(-8))/7.
4
Let p(x) = 42*x - 1325. Calculate the lowest common multiple of p(35) and 841.
4205
Let i = 8340849/170 - 49064. What is the common denominator of 1 + (-9)/(-12) + (8 - 27 - -15) and i?
340
Let w = 304 - 3529/12. Let v = 81589/54 - 1512. What is the common denominator of w and v?
108
Let t be ((-1)/2)/(6/(-90)). Let j be -2*214/24 - -3. Let m = t - j. Find the common denominator of m and 40/7.
21
Suppose 2*r - y + 43 = 7*r, 3*y - 41 = -4*r. Let n be (-4)/(-407)*r/(-16). Let f = n + 43/1221. What is the common denominator of 115/12 and f?
132
Suppose -192*i = -113*i - 94089. Calculate the lowest common multiple of 27 and i.
10719
Let p = -17481 + 559293/32. Calculate the common denominator of ((-48)/(14400/(-570)))/((-6)/(-10)) and p.
96
Let a(z) = z**2 + z - 53. Let p be a(-8). Suppose 7 = -p*s + 205. Calculate the lowest common multiple of s and 12.
132
Let d(o) = o**2 + o + 172. Let t(b) = -2*b**3 + 16*b**2 + 19*b + 5. Let x be t(9). Calculate the least common multiple of d(x) and 18.
3438
Let w = -16 - -21. Suppose w*r + 252 = -4*m + 792, -3*m + 209 = 2*r. What is the least common multiple of r and 44?
1232
Let i = 643655/123438 + -1/8817. Find the common denominator of 51/350 and i.
350
Let r = 12290885/147 + -83612. What is the common denominator of -123/70 and r?
1470
Let n = -4744 - -4942. Calculate the smallest common multiple of n and 18.
198
Calculate the common denominator of -11/140 and (6/(-24))/((-1015)/(-780) + 0).
4060
Let d(x) = -9*x - 69. Let t be d(-8). Suppose g = -4*z + 28, -t*z - 5*g + 2 = -2. What is the least common multiple of z and 60/2 + (0 - 0)?
120
Let h = 229 - 145. Calculate the least common multiple of h and (-168)/(-70)*(83 + -21 - 12).
840
Let x = -2 - 2. Let w = 5855 + -29336/5. Find the common denominator of (-1)/x + (-238)/8 and w.
10
Let o = 685429/30 + -22849. Find the common denominator of 31/1137 and o.
11370
Let m be (42/35)/((-8)/(-20)). Suppose -4*p + 78 = -t, m*p + 2*p + t = 102. Calculate the lowest common multiple of p and 44.
220
Suppose -x = 2*x - 96. Suppose -5*g - 20 = p, 2*p - x = 3*g - 7. Suppose p*w = -43 + 113. Calculate the smallest common multiple of w and 18.
126
Let g(v) be the first derivative of -v**3/3 + 20*v + 1. Let p = -62 - -82. What is the least common multiple of p and g(0)?
20
Let z = -3008704097/180 - -16714963. Let h = z - -532/9. Calculate the common denominator of -30/11 and h.
220
Suppose -3*f + 4 = 13. Suppose 7 = q, 0 = 3*d - 10*q + 12*q - 26. Calculate the least common multiple of d and 6/(f/(-3)) - 1.
20
Let o(x) = -x**2 - 46*x - 200. Calculate the smallest common multiple of o(-12) and 130.
1040
Calculate the common denominator of -32/49 and ((-2)/(-462))/(84/7749).
2156
Let q(o) = -2*o**2 - 18*o - 17. Let b be q(-8). Find the common denominator of -3 - (40/(-105) + b) and (-2)/(-4) + 275/30.
21
Let h be 87/(-4)*(1 - (-3747)/(-45)). Let w = h - 1786. What is the common denominator of w and 17?
10
Calculate the common denominator of -38 and ((-801)/(-8562))/(285/(-95)).
2854
Let s = 65825/6369 - 4/2123. Calculate the common denominator of 23/34 and s.
102
Suppose -6*c + 121 = -431. Calculate the common denominator of 32/8 - 378/