503/30. Let i = -1807 + h. Calculate the common denominator of i and u.
30
Suppose -w - 3 = -4*p + 7, 2*w = -2*p + 30. Let o = 3 - -7. Calculate the smallest common multiple of w and o/(-25)*(-7 + -3).
20
Let x(j) = -3*j**2 - 2*j + 1. Let l be x(-2). Let m be (-832)/(-39)*(-7)/(l/6). Find the common denominator of m/20 - -4 - -1 and -33/7.
35
Let y be (12/(-8))/((-9)/(-60)). Calculate the lowest common multiple of (-55)/y*-5*6/(-15) and 19.
209
Let c be 0 + (-23954202)/4700488 + 4. Let m = 2/45197 - c. Let j = 9683 - 96919/10. Find the common denominator of m and j.
260
Let b = -6217 - -6245. Calculate the lowest common multiple of b and 4.
28
Let o = 100609/328011 + 18/3527. What is the common denominator of 79/138 and o?
4278
Let c = 37 - 33. Let q = 20 - c. What is the lowest common multiple of 6 and (q/3)/2*18?
48
Let i = -452 - -915. Let p = i - 393. Calculate the smallest common multiple of p and 14.
70
Let m(w) = -6*w**3 + 2*w**2 - 4*w + 2. Let o = -38 - -35. Let t be m(o). Calculate the common denominator of 51/11 and (-5 - -6)/(20/t).
110
Suppose -24 = p - 28. What is the common denominator of (-111)/12 - (-4 - p) and 101/98?
196
Let i(m) = -1014*m - 44 + 1017*m + 26. Let v be (-107)/(-7) + 8/(-28). Calculate the least common multiple of 30 and i(v).
270
Let o be (-6)/(-24) - 35/(-4). Suppose 3*b + o = 0, 3*u = 2*b - 6*b - 87. Let c = 35 + u. Calculate the smallest common multiple of c and 13.
130
Let r(y) = y**2 - 33*y - 277. What is the least common multiple of 256 and r(40)?
768
Suppose 82 = 4*j - m, 2*m + 44 = -4*j + 6*j. Suppose -4*b - 29 = -121. Suppose -b*c = 15 - 107. Calculate the lowest common multiple of c and j.
20
Let n = -9/141248 - 2499079/126699456. Calculate the common denominator of -19/65 and n.
17940
Let q(i) = -15*i - 35. Let d be q(-3). Calculate the common denominator of d/12*(-9 - 7930/(-880)) and 77/12.
528
Let v = -474/95 - -5749/760. What is the common denominator of v and 13/35?
280
Let b be 7/4 - 1/(-4). Suppose 0 = -p - b + 12. What is the smallest common multiple of -14 + -1 + (-103 - -111) - -23 and p?
80
Let c = 23 - -5. Let k = 48 - c. Let f = -2359 - -2361. What is the least common multiple of k and f?
20
Let y = -3031 + 1735. Calculate the common denominator of -2 + (1206/y - 2/(-9)) and -35/6.
24
Suppose -132*f + 136*f - 384 = 0. Suppose f = 8*j - 80. What is the smallest common multiple of j and 16?
176
Suppose -5*y + 3*i = -47 - 33, -2*y + 32 = -5*i. Calculate the least common multiple of 5 + ((-43)/(-1) - (2 + 2)) and y.
176
Let l = 719/36 + -15079/828. What is the common denominator of l and -3/253?
506
Let h be 2 - (-4 - 438382/352 - 4). Let w = 13740/11 - h. Find the common denominator of w and 101/26.
208
Calculate the common denominator of (-28639)/(-9516)*-2 - -6 and -26/87.
10614
Suppose -4*l + 2*y = -11552, -21*y = 5*l - 17*y - 14414. What is the common denominator of -19/55 and (l/540)/37 + (-1 - 1)?
990
Suppose -4*s - z + 12 = 0, -3*s + 2*z = -3*z - 32. What is the common denominator of ((-95)/(-9))/(s/6) and ((-2)/8)/(((-189)/2466)/(-7))?
6
Let d = 729953/6539664 + 9/53168. What is the common denominator of 35/738 and d?
1476
Let d = -229061/41 + 5587. Let x be (-3 - -2) + (-883)/410. Let r = x - d. What is the common denominator of -38/9 and r?
90
Find the common denominator of -8 + 358946/21420 + -9 - 2/(-10) and 91/102.
306
Suppose -19*g + 5193 = -9855. Calculate the smallest common multiple of 72 and g.
792
Suppose 5*g - 261 = 3*j, -3*j = 5*g + 6 - 285. Find the common denominator of -14/11 and 61/g*76/(-38).
297
What is the common denominator of (3/(-9))/((-24)/(-120) + (-886)/(-570)) and -87/500?
500
Suppose 4*c = 2*y - 40, 4*y - 110 = y - 4*c. Let v = -717 + 669. Calculate the common denominator of 28/v - 10 - -4 and y.
12
Let q be 11/33 - (-4)/(3264/(-4399766)). Let l = q + 5392. Find the common denominator of l and -89/4.
136
Suppose 562 - 182 = -4*z. What is the common denominator of (200/(-125))/(42/z) and 75/(-36) - (-2)/8?
42
Let h(i) = -i**3 - 2*i - 16. Let m be h(0). Calculate the smallest common multiple of (-1*m/3)/(60/180) and 4.
16
Let g(w) = w + 10. Let a be g(-4). Suppose 2*i - 4*t = -2, 0 = -a*i + 2*i + 2*t + 20. Calculate the smallest common multiple of i and 8.
56
Let c = 10314 - 866249/84. Calculate the common denominator of c and -79/72.
504
Let w(z) = z**2 - z + 1. Let t(m) = 347*m + 0*m**3 - 349*m + m**3. Let u(b) = -t(b) - w(b). What is the lowest common multiple of u(-3) and 3?
24
Calculate the common denominator of 5/574 and (5661/1394 - 3)/(30 + 0).
5740
Let h be ((-2)/4)/1*-526. Suppose -3*w + 414 = -2*a, 2*w - 2*a + 5*a - h = 0. What is the lowest common multiple of w and 9?
1224
Let p = 3 - -2. Suppose 160*h = 9639 + 3161. Calculate the least common multiple of p and h.
80
Let g = 1934 - 1814. Calculate the smallest common multiple of g and 312.
1560
Suppose 4*p + 27 + 69 = 0. Let v = p - -28. Suppose -11*h + 16*h = 100. Calculate the lowest common multiple of h and v.
20
Let b(x) = -10*x**2 - 83*x - 23. Suppose 2*d + 3*c - 17 = 11, -3*c + 8 = d. Calculate the lowest common multiple of d and b(-8).
20
Suppose 0 = 2*t + c - 10, -4*t = -0*t - c - 14. Suppose -v + 33 = t*n - 65, 3*v - 5*n = 345. Find the common denominator of v/32*4/(-16) and -69/14.
448
Find the common denominator of -99/3460 and (22/24)/(194/(-776)).
10380
Let c = -20507/912 + 430/19. Calculate the common denominator of c and (-2682)/(-945) - 2/((-30)/(-9)).
336
Let t = 10951 + -10779. What is the smallest common multiple of 1333 and t?
5332
Suppose 36*n + 3*l = 35*n + 140, n - 196 = 4*l. What is the smallest common multiple of n and 108?
4428
Let v be 1/4 - 679/(-4). Suppose 3*a = 322 + v. What is the least common multiple of a/16 - 3/12 and 8?
40
Let o be (-105)/(-28)*(-16)/(-6). Suppose 34 = n + o. Calculate the lowest common multiple of 15/2*((-162)/45 - -6) and n.
72
Suppose 61*f = f + 360. What is the least common multiple of f and 725?
4350
Let p = -52 + 8. Let b = p + 62. What is the least common multiple of b and 33?
198
Let c = -797/2 + 1335. Let b = c + -2750/3. Find the common denominator of b and 69/38.
114
Let d = 5280 - 42307/8. What is the common denominator of -59/160 and d?
160
Let a(l) = -l - 8. Let f be a(-10). Suppose -f*p = -3*d - d + 52, -4*d + 38 = 5*p. Let w = 7 - 1. Calculate the smallest common multiple of w and d.
12
Let m = 124 - 122. Suppose 0*y = -3*y - 3*k + 105, -5*y = -m*k - 182. Calculate the least common multiple of 32 and y.
288
Let v = 130/27 - 115079/24030. Find the common denominator of v and -11/4.
1780
Let p be 125/625 + -1 + 28/10. Suppose z = p*o - 61, -2*o - 6*z + 59 = -5*z. What is the lowest common multiple of o and 54?
270
Let q = 8615 + -318736/37. Find the common denominator of -145/222 and q.
222
Let b(p) = -p**3 - 2*p**2 - 26*p + 8. Let i be b(-8). Find the common denominator of -59/10 and ((-4)/i)/((-6)/226).
450
Let g be ((-14)/21 - 40/(-6)) + -15. What is the smallest common multiple of (186/155)/(g/(-120)) and 26?
208
Let z(w) be the second derivative of 0 - 1/3*w**3 + 18*w**2 - 2*w. Calculate the smallest common multiple of z(12) and 10.
60
Let g = -76769/1259595 + 92/3651. What is the common denominator of 77/414 and g?
2070
Let l(m) = -m**2 + 19*m + 12. Let a be -2 + 9 + (-10 - -14). Let v be l(a). Calculate the common denominator of 38/11 and -34*18/v + 4.
275
Let p = 2030 + -10132/5. Calculate the common denominator of p and 4/(-6)*(-27)/87.
145
What is the smallest common multiple of 38 and (-255)/(-18 + (-69)/(-4))?
6460
Suppose 3*x + 5*a = 60, 5*a = -11*x + 7*x + 75. Suppose -13 = 3*w - 46. What is the lowest common multiple of w and x?
165
Let y = -10513979/100 + 105141. What is the common denominator of 1/14 and y?
700
Suppose 9656 - 5788 = 75*k - 10532. Calculate the least common multiple of k and 96.
192
Let y = 16 - 4. Let m be (12/(-26))/3 - 420/(-195). Suppose 2 = 2*r + 4*b - 74, m*b = 4*r - 162. Calculate the smallest common multiple of r and y.
120
Suppose -11*w = -6*w - 20. Suppose 3*z + 45 = w*p, 5*p - 4*z - 47 = 10. Calculate the lowest common multiple of 7 and p.
63
Suppose -2073 = -5*h - 4*f, h - 124*f - 415 = -125*f. Calculate the least common multiple of h and 1652.
1652
Let l = 11088/73 - 7656779/503