32. Let y = -291 + 427. Calculate the lowest common multiple of y and g.
408
Suppose -2802 = -8*w + 262. Suppose 0 = 4*h - q + w, 0*h + h + 93 = 3*q. Let t = -72 - h. Calculate the lowest common multiple of 6 and t.
24
Let n = -73/210 - -1/21. Let l be 5/((-45)/24)*24. Let q = 48 + l. What is the common denominator of q and n?
10
What is the lowest common multiple of 1653 and (8 + -2*(77/(-14) - -8))*5?
8265
Let r(h) = -4*h + 34. Let w be r(-10). Let g = 89 - w. Calculate the lowest common multiple of g and 45.
45
Suppose -45*p + 1809 = -18*p. Suppose 9*c - p = -49. What is the smallest common multiple of c and 46?
46
Let j(f) = -f**3 + 17*f**2 - 15*f + 40. Let p be j(11). Suppose -p*q + 596*q + 2950 = 0. What is the smallest common multiple of 22 and q?
6490
Let o = 676471/2368290 + -488/2661. What is the common denominator of -113/890 and o?
890
Let b = -7141/3276 + 185/91. Find the common denominator of 71/126 and b.
252
Suppose -4*l = -g + 146, -5*g - 3*l + 292 = -3*g. Calculate the common denominator of 10/60*g/(-3) and 41/7.
63
Let a(s) = 52*s + 580. Let u be a(-10). Suppose -4*b - 172 = 5*j, 6*j + 2*b = j - 176. Let m = u + j. What is the least common multiple of m and 33?
264
Let c = -9558 + 10566. What is the lowest common multiple of 36 and c?
1008
Let w(o) = -o**3 + 48*o**2 + 99. Calculate the least common multiple of w(48) and 18.
198
Suppose -176*t + 178*t - 600 = 0. Find the common denominator of (-10)/4*2*t/80 and 27/(-20) - -1*1.
20
Suppose 5*v - 117*u = -119*u + 11, -2 = -5*v + u. Suppose -4*q = -8*q. Let x = q - -4. Calculate the least common multiple of x and v.
4
Let o be (-1807553)/(-364) + (-10)/(-105)*-3. Let c = -4965 + o. Find the common denominator of c and 1/8.
104
Suppose -2*z + p + 1175 = 0, 0*z + z + 2*p - 580 = 0. Calculate the least common multiple of 1172 and z.
1172
Let j be -1 + 52 + 2/2. Suppose 4*f = -0*f + z + 84, -j = -2*f - 2*z. Suppose 2828*m - 2846*m + 36 = 0. What is the least common multiple of f and m?
22
Let n be (15/(-6))/((-3)/6). Suppose 0 = -5*v - 4*u + 148, n*v - 134 - 23 = -u. What is the least common multiple of v and 4?
32
Let x be (-82)/205*(24 + 1). What is the lowest common multiple of 68 + x/(-15)*12 and 95?
380
Let j(d) be the third derivative of 19*d**5/20 + 3*d**4/8 + 5*d**2. Calculate the least common multiple of 6 and j(-1).
48
Suppose 20 = 10*g - 50. Let t be -20*(-4 + 28/8). Suppose 108 = t*y - g*y. Calculate the smallest common multiple of 4 and y.
36
Let q = 7894 + -4931. Let b = 5475 - q. Calculate the lowest common multiple of 1 and b/48 + 2/(-6).
52
Suppose -4*f + 9235 = 3151. Let m be f/(-65) + (-4)/(-10). Let r = 27 + m. What is the smallest common multiple of r and 6?
12
What is the common denominator of (108/(-42))/((-1470)/7203) and (10/4)/((-14)/(-4))?
35
Let d be (3 + 0)*(-12)/(-468). Let p be 526/(-260) - (-5 - -3). Let l = d - p. What is the common denominator of l and 91/16?
80
Let b = 12 + 10. What is the least common multiple of b and ((-8)/20)/(1/50*-1)?
220
Suppose 3 + 9 = 3*o. Let l = 141 + -86. Suppose -b = o*b + l. What is the common denominator of 151/6 and b?
6
Let w = -11638/2909 + 216638419/54089946. Find the common denominator of w and -13/10.
92970
Let b be (0/(-2))/(4/(-2))*1. Let h(a) = a**2 - 4*a - 12. Let i be h(b). Find the common denominator of (-4)/i - 152/132 and 50/9.
99
Suppose 0 = 39*m - 45*m - 7482. Find the common denominator of 149/18 and 5/(35/2) + m/2478.
1062
Let b = 41/178 - 9281/37202. What is the common denominator of b and 149/684?
7524
Suppose b + 4 = 2*y - 34, -5*b = 10. Let r = 14 - 12. Suppose 3*f + r*j - 57 = 0, 2*j - 37 = -4*f + 41. What is the lowest common multiple of y and f?
126
Let l be (-1)/(-5) - 112/35. What is the common denominator of ((-3)/(-2))/l + (-3774)/5920 and -13/15?
240
Let n be (96/(-10))/((-2)/5). Let f = 31 - 30. Calculate the smallest common multiple of 664/n - (-2)/6 and f.
28
Suppose 9*w - 4 = 8*w. Suppose 137 = -4*v - 0*q - q, -106 = 3*v + w*q. Calculate the lowest common multiple of 15 and 1/(v/(-200)) + 38/323.
30
Suppose 67*j = 70*j + 3*w - 18, 5*j - w = 30. Suppose -3*i + 57 = -t, -9*t = -11*t - j. Suppose 10 - 2 = 2*f. What is the lowest common multiple of f and i?
36
Suppose 2*a = 3*r - 2*r - 2, -a = 5*r + 1. Calculate the common denominator of -83/76 and (-1 + r)/(44/46).
836
Let i = 1/588 - -17929/2940. Suppose 5*y + 346 = 3*m - 2316, -4*y + m - 2124 = 0. Calculate the common denominator of i and 106/371 + y/(-56).
20
Let j = -770275/158802 + 769/199. Let h = j + 2/19. Calculate the common denominator of h and 73/24.
168
Suppose -91 = -2*r + 3*v, 2*v = -r - 10 + 45. Suppose -z + r - 205 = 0. What is the lowest common multiple of (-3)/(60/z) - (-1)/(-5) and 8?
8
Suppose -4*q = -j - 2*j + 73, -5*q - 3*j = 71. What is the common denominator of -67/4 and (1/(-15))/(q/(-147))?
80
Suppose -7*x + 2*x = -3*f + 180, 0 = 5*x + 15. Calculate the lowest common multiple of f and 385.
385
Suppose 93*m + 2409 - 31137 = -33*m. What is the smallest common multiple of 132 and m?
2508
Let v(i) = 24*i - 1646. Let j(m) = -m**2 + 8. Calculate the lowest common multiple of v(69) and j(0).
40
Suppose 17 = -24*j + 65. Calculate the common denominator of 11/18 and j/10 + (-2961)/14580.
324
Let m = -459 + 649. What is the smallest common multiple of (m/6 + 3)/((-2)/(-3)) and 12?
156
Let z = -7933513/186 - -42653. Find the common denominator of 41/23 and z.
4278
Let a = -1 - 29. Let o = a + 42. Suppose 5*p - 3*y + 7*y = 198, -p = 4*y - 46. What is the lowest common multiple of o and p?
228
What is the common denominator of (7 + ((-71202)/14340 - 2))*1 and 73/20?
4780
Suppose 13*q = 6*q + 4235. Let m = -297 + q. Calculate the lowest common multiple of 8 and (m/12 + -1)/(3/9).
296
What is the common denominator of 2253/(-3755) + 2686/4520 and 101/36?
20340
Let b = -11386923/242 + 47053. Find the common denominator of -23/58 and b.
7018
Let u = -59 + 64. Suppose 5*x - u*s + 30 = 0, 3*s = 16 - 1. Calculate the common denominator of x/(-3)*(-1)/(12/162) and 49/3.
6
Calculate the common denominator of -59/888 and 2 - (31/(-465))/((-4)/426).
4440
Suppose 0 = 4*n - 13 + 1, -5*n + 223 = 4*p. Suppose -4*w = v + 2*v - 90, 0 = 2*w + 5*v - p. Calculate the common denominator of -59/4 and w/742*(-267)/(-9).
212
Let d = -317 + 172. Let n = -124 - d. What is the lowest common multiple of n and 6?
42
Calculate the common denominator of -7/9 and 7 + -2 - (-1050435)/(-208170).
4626
Suppose 4*b + 0*b = -i - 410, -3*b = 0. Let j = i + 1201/3. Find the common denominator of j and 46/9.
9
Let v = -145380 - -41433223/285. What is the common denominator of v and -20/931?
13965
Suppose 5*m - 27 = -k, 4*m + 4*k = 2*m. Let g(n) = -n**2 + 2*n + 5. Let x be g(-6). Let z = x - -63. What is the least common multiple of z and m?
60
Let b = -7843 - -9957. Calculate the smallest common multiple of 98 and b.
14798
What is the common denominator of 89/176 and (9/(-495)*127)/(-2)?
880
Suppose 0 = 5*a - 6*a + 12. Calculate the lowest common multiple of 22 and a/(-10) + 1012/10.
1100
Let x(v) = -35*v + 4662. What is the lowest common multiple of 77 and x(43)?
3157
Let n = 24550 + -24386. What is the lowest common multiple of n and 41?
164
Let o(m) = 4*m**2 + 5*m + 267. Let p be o(0). Let w = 276 - p. What is the least common multiple of w and 18?
18
Suppose 5*h = 49 + 21. Let r(b) = -17*b + 24 + 14*b - 8 + 13. Calculate the lowest common multiple of r(5) and h.
14
Let v = -97607/22 - -4434. Find the common denominator of v and 109/642.
7062
Suppose 0 = 8*j - 3*j + 20, 2*w - 2*j = 116. What is the lowest common multiple of w and 108?
108
Find the common denominator of (-715)/(-30) + 3 + -2 and (-9097)/9867 + 10/12.
1794
Suppose 0*m - 5*m = -85. Let c(w) be the first derivative of w**4/4 - 17*w**3/3 + 32*w - 288. What is the common denominator of 15/7 and c(m)?
7
Let m = -1427 + 5611/4. Let i be (-203)/(-28) + -7 - (-30941)/(-6180). Let n = i - 34/309. Calculate the common denominator of m and n.
60
Let w(h) = -747*h**2 + 27*h + 9. Let o be w(-6). Let k = o + 4219037/156. Find the common denominator of k and 29/8.
312
Let y(r) = 9*r + 78. Let a(m) be the third derivative of m**5/60 + 11*m**4/24 + 2*m**3 + 21*m**2. Calculate the smallest common multiple of 