uppose -6*a + a - 3*s + 457 = 0, a + 5*s - 87 = 0. Find the common denominator of (a/(-32))/((-1)/6) and -53/4.
4
Suppose 3*s = -2*s + 20. Let z = -20 - -23. Calculate the smallest common multiple of 10 and (-4)/12 + s/z.
10
Let b = -7614604478/5079 + 1499233. Let s = -98054515/6772 + b. Let p = -14467 - s. Find the common denominator of p and -15/14.
84
Let k = -42591/878 - -4/439. Find the common denominator of -8/89 and k.
178
Let a be 1248/21 + 3/14*-2. Suppose 5*p + 5*n = a - 14, -p + 2*n = 0. What is the lowest common multiple of 26 and p?
78
Let k = -107 + 156. Suppose -5*i = 267 - 962. Suppose 0 = -5*n + i - k. What is the least common multiple of 22 and n?
198
Let d = 2425 + -7343/3. What is the common denominator of -11/42 and d?
42
Let u = 47/232 + 22/1305. What is the common denominator of -65/408 and u?
6120
Suppose m = -2*d - m + 16, -4*m = -4*d + 48. Suppose 5*n - 20 = -0*n - 5*p, 5*n - 3*p - 52 = 0. Calculate the smallest common multiple of d and n.
40
Let y(t) = 2*t + 26. Let f be y(-6). Let q be ((-35)/f)/((-2)/1002). Let v = 1223 - q. Find the common denominator of v and -91/4.
4
Let q = -389661/20 - -19478. What is the common denominator of 65/236 and q?
1180
Suppose 1 = -2*f + 7. Suppose 4*i + 21 = -3*y, -f*i = -2 + 11. Let o = y + 19. Calculate the smallest common multiple of o and 16.
16
Let t(b) be the second derivative of -1/6*b**3 + 0 - 4*b**2 + 4*b. Calculate the lowest common multiple of 5 and t(-11).
15
Let l(m) = -39*m + 83. Suppose -5*a - 2*b - 3910 = 0, -4*a - 1564 = -2*a + 3*b. Let k = -7072/9 - a. Calculate the common denominator of l(3) and k.
9
Let i = -289 + 295. What is the smallest common multiple of 7 and i?
42
Suppose -y + d = 4*d - 27, y - d - 15 = 0. What is the least common multiple of y and 99?
198
What is the least common multiple of 21 and 45/270 + -1 + 95/6?
105
Suppose r - 19 = 3*d, 0 = 5*d - 0*r - r + 29. Let z(b) = 2*b**3 - 3*b**2 + 6*b + 1. Let v be z(d). Find the common denominator of 11/8 and (-1)/(-1)*v/24.
8
Let y(f) = -5*f - 12. Let z be 3*(-2)/(0 + 2). Let r be y(z). Suppose 5*w - 42 = -0*b + r*b, w = 5*b + 4. Calculate the smallest common multiple of 3 and w.
9
Let w be (10/15)/(2/12). Let z = 2 + w. Suppose 1890*x = 1886*x + 24. Calculate the smallest common multiple of x and z.
6
Let d = 9 - 11. What is the common denominator of 7/22 - (-6)/d and -47/8?
88
Let y = -2/997 - -52849/3988. What is the common denominator of y and 59/9?
36
Suppose 0 = -0*t + 2*t + 2*s - 8, 0 = -t - 2*s + 3. Let o = 64 + -79. Let c = t - o. What is the smallest common multiple of c and 6?
60
Let m(d) = -d**2 + 7*d - 6. Let y be m(6). Suppose y = -5*x + 11222 - 1347. Let f = 43509/22 - x. What is the common denominator of -33/2 and f?
22
Suppose 3*a - 4*m = -49, -3*a - 37 = -4*m + 3*m. Let c(w) = -4*w - 35. Calculate the least common multiple of 27 and c(a).
27
Let k = -2509/2085 - -19/139. Find the common denominator of 109/60 and k.
60
Suppose -5 = v, -3*t = 3*v - v - 101. Let h = 52 - t. Calculate the lowest common multiple of 3 and h.
15
Let j(r) = 271*r**2 + 13*r + 4. Let y be j(9). Let z = y + -441323/20. Find the common denominator of 1 - (-1 + (-123)/(-66)) and z.
220
Calculate the common denominator of (6849/(-378) - -1) + 2/7 and 59/21.
42
Suppose 0 = r - 3*r + 10. Suppose -z + 3*u = 4*u - 14, -r*z = -4*u - 70. What is the smallest common multiple of (-678)/(-21) + 6/(-21) and z?
224
Suppose -4*m + j = -221, 20*m - 17*m = 5*j + 153. What is the smallest common multiple of 48 and m?
336
Let q be (-12)/2*222528/468. Let p = -2855 - q. Calculate the common denominator of 17/6 and p.
78
Let m = 19456/5 - 3905. Let s = 1407847/3410 - 13256/31. Let n = s - m. What is the common denominator of n and -93/16?
176
Let t be 230/(-4) - (-36)/(-12). Let j = t - -69. Find the common denominator of 21/8 and j.
8
Suppose 0 = -19*r + 18*r + 12. What is the smallest common multiple of 15 and -1 - ((-3)/r - 75/4)?
90
Suppose j + 32 = 5*j. Suppose 0 = -5*h + m + 1073, -5*h + 223 = -4*h - 3*m. Let c = h - 213. Calculate the smallest common multiple of j and c.
8
Suppose 4*d = l - 16, l + d = -4*l + 59. What is the least common multiple of l and 30?
60
Let a be 4/(-2) - 56470/50. Let p = 1139 + a. What is the common denominator of -27/2 and p?
10
Let p = 90 + -78. Let c = 2 - -8. Calculate the least common multiple of p and c.
60
Let m(q) = q**2 - 3*q - 6. Let o(d) = -2*d + 19. Let p(h) = 6*h**3. Let x be p(1). Let l be o(x). What is the smallest common multiple of 10 and m(l)?
110
Let q(j) = 3*j - 4. Let w be q(5). Suppose c + 5 = w. What is the lowest common multiple of c and 3 + ((-8)/4 - -19)?
60
Let s(c) = -c**2 + 47*c - 60. What is the smallest common multiple of s(45) and 36?
180
Let w = -39482/21 + 1877. Find the common denominator of -139/18 and w.
126
Let i(n) = 4*n + 22. Let o be i(-6). Let h(b) = b**2 - 4*b. Let s be h(3). What is the smallest common multiple of o/s*(-4 - -13) and 14?
42
Let w = 74 + -68. Suppose 3*n - w = 3*h, -1 = -4*h + 3. Calculate the lowest common multiple of n and 17.
51
Let g(f) = 9*f**3 + 3*f**2 - 2*f. Let w be g(2). Let h be 12/(-30) - 228398/w. Let a = h - -2843. What is the common denominator of -5/7 and a?
56
Let j = 7475/306 + -335/17. Calculate the common denominator of 139/180 and j.
180
Suppose 8*h = 6*h - 160. Let s be 21986/h - (-9 + 12). Let o = s - -1416/5. Calculate the common denominator of -63/8 and o.
8
Find the common denominator of 34/15 and (-188)/36 - (-4)/1*1.
45
Let l = 26 - 18. Suppose 6*q + 39 = 3. Let f(s) = s**2 + 5*s + 3. Calculate the lowest common multiple of l and f(q).
72
Let i(g) = g**3 + 9*g**2 + 17*g - 2. What is the lowest common multiple of i(-6) and 142?
284
Let k(w) = 2596*w**3 + 3*w**2 - 2. Let q be k(1). Let f = q - 202543/78. Calculate the common denominator of f and -91/30.
390
Let z = 6636 - 424787/64. Find the common denominator of -61/224 and z.
448
Let v = -3575628 - -78686591/22. Let b = v - 1034. What is the common denominator of b and -31/22?
22
Suppose 0*v = -4*v + 168. Suppose -2*x + 2 = 0, 3*x + 10 + 62 = -5*u. Calculate the common denominator of v/22*10/u and -8/5.
55
Let j(o) = o**2 - 5*o - 11. Let h be j(6). Let r be 63/h + 18/(-45). Let u = r + 19. What is the least common multiple of 4 and u?
12
Let g = -15 + 20. Suppose 4*s = g*j - 26, 3 + 11 = 5*j - s. What is the smallest common multiple of 4 and j?
4
Let l = -30275/52 - -2912/5. Calculate the common denominator of l and 63/2.
260
Find the common denominator of -167/84 and 10/252*(-5214)/220.
84
Let i = -54/73 - -5441/1533. What is the common denominator of i and ((-112)/(-21) - 5) + 119/(-30)?
210
Let q = 439 - 114. Calculate the lowest common multiple of q and 50.
650
What is the common denominator of -1 - (-957)/(-432) - 76/342 and 125/102?
816
Let g = -1889 - -13261/7. Let u be (-2)/4 + (-16803)/(-33598). Let i = -1562299/67196 - u. What is the common denominator of i and g?
28
Let d = 561 - 494. Calculate the lowest common multiple of 1 and d.
67
Let p = -179 + 181. Calculate the smallest common multiple of p and 2.
2
Suppose -1413 = -v + 2441. Let f = -166815607/16 + 10429831. Let k = f - v. Calculate the common denominator of -11/2 and k.
16
Let w(h) = h**2 - 16*h + 4. Let i be w(16). Calculate the lowest common multiple of (-2)/(-3) - 3/(-9) and -3*-4*i/6.
8
Let y = -4243/6 - -706. Find the common denominator of y and 103/122.
366
Let m = -23641/66 - -1063/3. Let r = 663/40 - 65/4. Find the common denominator of r and m.
440
Let p be (-4)/6*(-4)/(-32)*12. What is the common denominator of -125/24 and 19/21 + (50/(-35) - p)?
168
Let f be 8/(-2) - (-2443)/768. Let t = f - -5/768. Let u = -1355 + 5447/4. What is the common denominator of u and t?
16
Let g be 2 + 7/(-2) + 11165/930. Let q = g + -1/186. What is the common denominator of q and -35?
2
Let v = -755 + 758. What is the smallest common multiple of (-1)/1 + (10 - 1) and v?
24
Let o be (-3)/15 - 33/(-15). Let b be ((1 - -175) + 2)*10. What is the common denominator of 33/2 and o/(-110)*b/8?
22
Let f = 700 - 667. Suppose 1 = -4*m + 5, -14 = -5*j + m. Calculate the smallest common multiple of j and f.
33
Let r(i) = 2*i + 23. Let o(y) = 2*y**2 + y + 2. Let h be o(2). Let x = -9 + h. What is the smallest common