Let a = 16 - 7. Let z be ((-465)/10)/(3 + 26/(-8)). Suppose -z = -21*h + 45. Calculate the smallest common multiple of h and a.
99
Let n = 5715 - 5515. What is the lowest common multiple of n and 40?
200
Suppose 3*r + 6072 = 4*l, -78*r = 4*l - 80*r - 6064. Calculate the lowest common multiple of l and 567.
4536
Suppose 3*t - 3*v = v - 1, 0 = -t + 5*v - 15. Suppose 5*c - t*u = 85, -72 - 48 = -5*c - 2*u. What is the smallest common multiple of 14 and c?
154
Let p = -4287303542038137/40105 - -106901970867. Let c = 155327 + -1245877869/8021. Let k = c - p. What is the common denominator of k and -2/3?
15
Let z be (-1)/(1/(-3)*-3). What is the common denominator of ((-3)/21)/(z - 2) and (124/192)/(((-369)/(-36))/41)?
84
Let o = 966 - 47343/49. What is the common denominator of 27 + -10 + 7750/(-490) and o?
49
Suppose -45464 = -22*c - 2322. Let i = 136947949429/69928884 - -1/7769876. Let w = i - c. What is the common denominator of w and 59/7?
126
Let m = 7537514 + -6251184473300/829343. Let k = m - -2434499/9952116. What is the common denominator of -119/20 and k?
1860
Suppose 5*s + 364 = d, 2619 - 2003 = 2*d + 4*s. What is the least common multiple of 936 and d?
8424
What is the common denominator of -121/120 and ((-38)/(-1890))/(371/(-1484))?
7560
Let o = 6159 + -98569/16. What is the common denominator of 97/144 and o?
144
Let z(i) = 1831*i - 18. Let x be z(-4). Let d = x - -132059/18. Find the common denominator of -53/18 and d.
18
Suppose -54*u + 22831 - 6415 = 0. Calculate the least common multiple of 760 and u.
1520
Suppose v = -3*h - 11, v - 28 = -v + 4*h. Suppose 2*r + 48 = v*r. Let j(p) = -p**3 + 4*p**2 + 4*p + 17. What is the smallest common multiple of r and j(5)?
24
Let j be (-2)/(-6)*135/5. What is the common denominator of (61/(-36))/(0 + 6/(-18)) and 142/12*j/(-45)?
60
Suppose 5*k - 5 = -5*i, -5*i = 2*k - 3*k + 1. Let j = 21 + -13. Calculate the least common multiple of j and k/(-2)*(-168)/14.
24
Let z = -632 - -636. Suppose 233 = z*b + p, 5*b - b - 213 = 3*p. Calculate the smallest common multiple of b and 30.
570
Let t = -8/1447 + 144149/162064. What is the common denominator of t and 85/80 - 1 - 1*(-1510)/(-5600)?
560
Suppose 153 = 7*p - 57. Suppose 21*q - 19*q - p = 0. Suppose 0 = o + 11 - q. What is the least common multiple of 6 and o?
12
Let r(c) = 42*c - 24. Suppose -3*i + 5*h = -8, -4 = -4*i + 2*h + 2. Calculate the least common multiple of r(i) and 96.
288
Suppose 2*x = -2*x - 3*b + 327, 246 = 3*x + 2*b. Calculate the least common multiple of x and 11/((-55)/(-150))*(-48)/(-120).
84
Let r = 79473106/1461 + -444375318703/23376. Let j = -18949459 - r. Let o = j - 6036. Calculate the common denominator of o and 85/152.
304
Let s = -2276657/1750 - -9108/7. What is the common denominator of s and 63/10?
250
Suppose -14 = 3*m - 5*m + 4*k, 2*k = 0. Let f = 7081/3266 + -245/71. Calculate the common denominator of (-28266)/5880 + (-1)/m and f.
460
Let d = 947/8510 - 9/370. Calculate the common denominator of 10/253 and d.
253
Let a = -4700 - -4702. What is the least common multiple of 2388 and a?
2388
Let q = 177 - 87. Calculate the lowest common multiple of 7/(-294)*-438 + (-16)/(-28) - -1 and q.
180
Let d be 10/(-3)*3990/(-475). Find the common denominator of -26/201 and d/(-20) - (-64)/(-15).
201
Let c be (22/(-3) - -2)/((-1)/3). Let f be (1 - 59/2)/(8/c). Let b = -48 - f. What is the lowest common multiple of b and 4?
36
Let h = 658328477/1200 - 548607. What is the common denominator of h and -23/900?
3600
Find the common denominator of 2/(-3 + 1) + (-1295)/(-1260) and (2 + (-835)/120 - 2) + 4.
72
Suppose 0 = 97*v - 100*v + 3765. Find the common denominator of -47/44 and 0 + (-5 - v/(-120))*2.
132
Suppose -90 = -31*f + 220. What is the least common multiple of 132 and f?
660
Calculate the common denominator of 3 + (((-385)/(-15))/(-7 + 9))/2 and 31/231.
924
What is the common denominator of (-7 + 0)/((-54)/(-459)*-10) and 2/775?
3100
Find the common denominator of 13/7 and (-2)/4 + 110/60 + (-3693)/3600.
2800
Let p(l) = -l**3 + 2*l**2 + 14*l + 9. Suppose c - 95 = -4*g, -3*g - 4*c + 67 = c. What is the smallest common multiple of p(0) and g?
72
Let q = -2/39227 + 1255282/353043. Let w = 11/18934 + -6840452/937233. Let b = -79/18 - w. Calculate the common denominator of b and q.
99
Let t = -5170 - -6025. Calculate the lowest common multiple of t and 114.
1710
Let m be (-1851)/(-72) + 1 + -1. Let v be (-2)/(-5) - 12787/(-570). Let s = m - v. Find the common denominator of 93/4 and s.
8
Let d(n) = -n**2 + 17*n - 18. Let j be d(14). What is the common denominator of j/(-4) - 462/(-104) and -77/8?
104
Let v(c) = 5*c - 3. Let w be v(0). Let y be w*1 + 14760/4884. Let q = 2063/407 + y. What is the common denominator of -11/9 and q?
99
Let y = 772795 - 231838073/300. Let r = y - 1/150. Let z = -143/4 + -23/4. Find the common denominator of r and z.
12
Let b = -7037 - -7042. Suppose 0 = -4*n + 36 - 4. What is the least common multiple of n and b?
40
Let g = 18 + 0. Let z(k) = k**2 + 39*k + 176. What is the lowest common multiple of z(-34) and (24/5)/(g/120)?
96
Suppose 366*t = 357*t + 9. Calculate the lowest common multiple of (35 + 1/t)*192/256 and 99.
297
Let i be 17332/240 + 10/15. Let m = -404/5 + i. Calculate the common denominator of -29/88 and m.
264
Find the common denominator of -9 - (10680/(-1071) - (-60)/70) and -79/84.
1428
Let v be (-4)/22 + 420/132. Suppose 0 = -5*s + v*i + 32, -37 = -2*s - 3*s - 2*i. Calculate the smallest common multiple of 4*s/28*(-1)/(-1) and 65.
65
Let k = 1356217/40 + -33903. What is the common denominator of k and ((-33)/(-660))/((-36)/850)?
360
Let g = 61 + -57. Suppose -g*m + 780 = -236. Find the common denominator of m/36*1/4*-3 and 22/3.
24
Let k(q) be the first derivative of 9*q**2 - 26*q + 3. What is the lowest common multiple of k(2) and 85?
170
Let x(f) = 29*f + 1055. What is the smallest common multiple of 1472 and x(-36)?
16192
Let m(k) = -2*k**3 + k**2 - 67*k - 140. What is the least common multiple of m(-2) and 200?
1400
Let q = -601/6 - -1444/15. Find the common denominator of 61/177 and q.
1770
Suppose 0 = 2*k - 3*d - 122, -230 = -5*k - 2*d + 18. Calculate the lowest common multiple of 2/(-4) - (-82)/4 and k.
260
Suppose 0 = 4*w - 0*w - 3*l - 153, 4*l = 4. Suppose 4*z + 68 = 4*u, 6*u + 3*z - w = 3*u. Let i = 45 + -12. What is the least common multiple of u and i?
165
Let c be (1/6)/(8414/2104 + -4). Let t = 175 + c. Calculate the common denominator of t and -25/89.
267
Suppose 430 = 14*b - 690. Suppose -5*x - 107 - 248 = 0. Let n = x + b. What is the smallest common multiple of 8 and n?
72
Let c(g) = g - 7. Let t be c(7). Suppose 0 = a - 2, t*a - 3*a + 53 = f. What is the smallest common multiple of f and 1?
47
Let g = -53 + -20. Let j = -50 - g. Let k = 34 - j. What is the lowest common multiple of 8 and k?
88
Let u = -101457 + 72237365/712. Find the common denominator of u and 31/712.
712
Let t = 9205567/5850 + -19951/13. Let a = 388/25 - t. Let g = 10/9 - a. What is the common denominator of g and -7/3?
6
Suppose -2*t - 13181 = -5*f, -21*f + 17*f + 3*t = -10549. Calculate the least common multiple of 124 and f.
10540
Suppose -3*i + 2406 = -2*m, -5*m - 2424 = 21*i - 24*i. What is the lowest common multiple of 189 and i?
7182
Let b = -2530 + 472. Let s = 8281/4 + b. Find the common denominator of s and -1 - -2 - (-134)/(-44).
44
Suppose 4*q + w + 118 = 0, 5*q + 144 = w - 4*w. What is the smallest common multiple of (-10)/q + (-116)/(-12) and 50?
50
Let b = -180 - -182. Suppose -2*j + 81 = c, b*c + 118 = 3*j - 0*c. What is the least common multiple of 8 and j?
40
Suppose 0 = 2*d + q - 0*q + 2225, 3340 = -3*d - 2*q. What is the common denominator of (-12 + 4172/350)/((-8)/1090) and (-2388)/d + (1 - (2 - -1))?
370
Suppose 0 = -5*r - j - 53 + 18, r + 3*j - 7 = 0. Let h be 1046/13140 - (r/36 + 0). Let u = 214/73 + h. What is the common denominator of 77/8 and u?
120
Let u be 1906/((-42)/(-1589)*-6458). Let r = 2/3229 - u. Find the common denominator of r and 25/94.
282
Suppose 4*d = -k + 20, -k = d - 5*d + 20. Find the common denominator of (d + -29)/6 - 23 and 31/6.
6
Suppose 5*w = -5*u + 1440, -4*u - 5*w + 1388 = 232. Calculate the lowest common multiple of u and 1278.
2556
Suppose -