ppose h = -p + 174 + 362, 0 = 4*p + 3*h - 2148. What is the common denominator of (-204)/p + 2/(-2) and 76/21?
315
Let v(p) = 9*p**3 + 4*p**2 + 2*p - 1. Let t be v(-2). Let z = -2/2889 + -89555/5778. Let d = z - t. What is the common denominator of d and -61/12?
12
Let f = 2048 + -1487. Calculate the lowest common multiple of 99 and f.
1683
Let v = 481 + -319. Suppose -2*h - 24 = -4*w + v, -3*h + 181 = 4*w. Suppose 2*a = w - 4. What is the least common multiple of 27 and a?
189
Let k = -470847/3688520 + -2/5555. What is the common denominator of 65/66 and k?
21912
Let x(j) = 8*j - 41. Let z be x(6). Suppose -201 + 124 = -z*s. Calculate the least common multiple of 118 and s.
1298
Let b = -207 - -496. Let z = b + -251. What is the smallest common multiple of z and 10?
190
Suppose -4*x - t = -0*x - 20, -3*t + 5 = x. Let a be ((-738)/x)/((-12)/2760). Let y = a - 2987329/88. Calculate the common denominator of 17/6 and y.
264
Suppose 17*x - 42 = 26. Let p(o) = -o**3 + 3*o**2 + 9*o - 4. Calculate the lowest common multiple of 34 and p(x).
272
Let p(d) = -64*d + 5. Let r be p(-7). Let b = r - 413. What is the least common multiple of 70 and b?
280
Let s = -1349 - -1419. What is the lowest common multiple of s and 50?
350
What is the common denominator of ((-9)/(-36))/((-2)/154) and -19/20?
20
What is the common denominator of 83/150 and (-1094)/(-140) + 7*(-2 - -1)?
1050
Let j = -8 + 11. Find the common denominator of (-4)/(-33*(-6)/252) and 0 + j + 4/7.
77
Let w = 9 + -14. Suppose 3*o = g + 29 - 4, 0 = -o + 3*g - 5. Find the common denominator of 37/8 and (o/6)/5 - 0/w.
24
Let a = -292439 + 6420669/22. Let j = -589 - a. Let i = 187/200 - 14/25. Find the common denominator of i and j.
88
Let y = -9974012 + 39456445/4. Let a = 109294 + y. Let d = a - -36101/60. Calculate the common denominator of d and 127/18.
90
Let h = -303 - -305. Let n(z) = 2*z - 2*z + 2*z + 0*z. Calculate the smallest common multiple of h and n(2).
4
Find the common denominator of ((-18)/16)/(3/4) + 37265/22968 and -37/198.
792
Let v = 14/42661 - -3787365/28838836. Calculate the common denominator of -143/18 and v.
6084
Let c(w) = 237*w - 5729. Calculate the least common multiple of c(27) and 4422.
22110
Let g = -146 - -171. Let w(s) = s**3 + 16*s**2 - 5*s - 40. What is the least common multiple of w(-16) and g?
200
Let b = 41 - 39. Suppose v + 1 = b*v. What is the least common multiple of 7 and (1 - 3 - v)/(-1)?
21
Let d = -104 + 156. Suppose 0 = 3*w + 3*i + 6, -18*w = -13*w - i - 38. Calculate the lowest common multiple of w and d.
156
Let s = -7196/345 - -308/23. Let z be 2 - 2 - 29/(-3). Let m = z + s. Calculate the common denominator of m and 30/7.
35
Suppose 0 = -0*q - q + 2. Suppose -636*h - 39 = -675*h. Calculate the common denominator of -49/11 and (h + (-218)/185)*(-15)/q.
814
Let o(s) = -s**3 + 4*s**2 - 3*s + 8. Let k be o(3). Suppose 260 = 18*d + k*d. What is the common denominator of -35/17 and d?
17
What is the common denominator of -4/105 and (-1 - 1406/(-1104))*66/((-99)/3)?
9660
Let w = 8819/6 - 1464. Let j = -12741 - -331243/26. What is the common denominator of j and w?
78
Let n(p) = -10*p + 80. Let f be n(-8). Suppose 2*y - 4*y = -5*k + 206, -f = -4*k + 4*y. Calculate the least common multiple of 21 and k.
42
Let h(l) = l**3 - l**2 + l + 1. Let f(i) = i**3 - 12*i**2 - 12*i + 12. Let m(w) = -f(w) + 2*h(w). Calculate the lowest common multiple of m(-8) and 32.
96
Let s = -14686/3 - -719596/147. What is the common denominator of -23/791 and s?
5537
Let r = 4/8133 - 235993/276522. Let u = 1 - 1. Find the common denominator of r and -1 + u + (-5)/8.
136
Suppose -4 = u - 2*y - 3, -2*u = 5*y - 16. Suppose u*t + 63 = 2*x, x - 5*t + 23 = 3*x. What is the least common multiple of 27 and x?
216
Let s = -87278603271931/178698637910760 - 7/3640818180. Let h = 1/4462 - s. Find the common denominator of h and -55/32.
352
Let i(c) = 59*c**2 + 191*c - 105. Let k be i(-21). Let w = 1910890029/32 - 59737214. Let h = w + k. Find the common denominator of 25/12 and h.
96
Let t(q) = 14*q**3 - 2*q**2 - 2. Let h(w) = 3*w**2 - 5*w + 4. Let n be h(1). What is the lowest common multiple of t(n) and 30?
510
Let l = -44 + 54. Let j(m) = m**2 - 5*m - 8. Let o be 1/(-1 + (-1 - -3)) + 6. Calculate the smallest common multiple of j(o) and l.
30
Suppose 5*o - 4*w - 76 = 0, 5*o - 3*w = -26 + 103. Suppose -9*k + 5*k = c - 37, 16 = c - 3*k. Let j = 61 - c. Calculate the least common multiple of j and o.
144
Let d = -5482580/153 + 35834. Calculate the common denominator of -44/27 and d.
459
Let o(v) = 5*v + 5. Suppose 0 = 3*s - 12, -s = -2*m - 3*s + 10. What is the smallest common multiple of 9 and o(m)?
90
Let l(d) = 26*d - 1. Let b be l(1). Let h = b - 15. What is the least common multiple of (-2 - 224/(-38)) + (249/19 - 13) and h?
20
Let y(w) = 22*w**3 - w**2 - 9*w + 3. Let a be y(5). Let q = -26903/10 + a. What is the common denominator of q and 54/49?
490
Let z = 119 - 88. Suppose 2*x = 17 + z. Calculate the smallest common multiple of 21 and x.
168
Let p = -92 - -63. Let m = 33 + p. Suppose 166 - m = -6*q. What is the common denominator of q and 70/3?
3
Suppose 3*k - 16 = c, -5*k + 3*k = 3*c - 7. Let w(f) = 991*f - 95043. Calculate the smallest common multiple of w(96) and k.
465
Let f be 68*2*(-6)/12. Let u = f + 44. What is the common denominator of -1 - (1404/(-8))/9 and u?
2
Suppose 77 = 5*a - 4*h, -a - 4*h + h + 4 = 0. Suppose d + 8 = -o, -d = o + d + a. What is the common denominator of -1/14 and (-3 - 103)*(o - (-111)/36)?
42
Let z(o) = o**2 + 7*o - 1. Let x be z(-8). Suppose -2*d + n = -5*d - 33, n - x = d. What is the common denominator of 7/6 and 4/d - (-4)/260?
78
Suppose -35988 = -142*o + 137*o - 3*b, 4*o + b = 28789. What is the lowest common multiple of o and 24?
57576
Let f = -12187 + 182879/15. Let y be 42/14 + (-1658)/42. Let m = y - -234/7. Calculate the common denominator of m and f.
105
Let v = -179304953207/107800 + 58215891/35. Let a = 270176/207025 + -220/169. Let y = v + a. Calculate the common denominator of -115/14 and y.
616
Let q(r) = 2511*r**2 - 14*r - 1. Let n be q(1). Suppose 11*v = -15*v + n. Calculate the lowest common multiple of 3 and v.
96
Let t(s) = -s**3 + 48*s**2 + 519*s - 318. Suppose 0*f = -2*f + 186. Calculate the least common multiple of t(57) and f.
744
Let r = 52459175/12 - 4374441. Let g = r + 2835. Find the common denominator of g and 185/(-50) - (-1 + -3 + 1).
60
Let j = -40769/24 - -1700. What is the common denominator of j and 19/36?
72
Suppose 9*n - 168 = 129. Suppose 34*m - n*m = 7. Suppose m*f + 92 = 302. What is the lowest common multiple of 22 and f?
330
Suppose 5*o = v, 0 = 5*o - 2*v + 6*v. Let u(z) = -21*z + 4. What is the lowest common multiple of 116/10 - 2/(-5) and u(o)?
12
Suppose g - 5 = 0, -4*g + 18 + 65 = 3*n. Suppose n*v - 3078 = 1038. What is the lowest common multiple of v and 10?
980
Suppose -5*a + 5*y + 2220 = 0, -4*a + 8*a + y - 1796 = 0. Calculate the least common multiple of 1 and a.
448
Let g(a) = -a**3 + 3*a. Let c be g(0). What is the common denominator of 1 + 39*(-3)/(-243) and ((-12)/54 + c)/((-20)/489)?
270
Let k = 277 - 168. Suppose 71 + k = 18*b. What is the smallest common multiple of b and 302?
1510
Let x(y) = -5*y - 2. Let a be (12/(-24))/(((-2)/84)/1). Let l = a - -6. What is the smallest common multiple of l and x(-1)?
27
What is the least common multiple of (((-774)/8)/3)/((-2769)/129220) and 11?
16555
Let f = 32/11 - 3128/1045. What is the common denominator of f and 83/460?
8740
Suppose 10*m - 4 = 8*m. Calculate the common denominator of -2*4/m*100/(-3344) and 29/11.
209
Let h be (-101452913)/(-5270068)*(-1 - 159/(-162)). Let m = 1/69343 + h. Calculate the common denominator of m and -83/30.
1080
Calculate the smallest common multiple of (-53 + -1)/((216/16)/(-27)) and 900.
2700
Let y = 967261/7475 + 4/7475. Let d be -91*(6/4)/1. Let o = d + y. Find the common denominator of o and -37/12.
60
Let s = 11512 - 310778/27. Let q = s + 328/135. Find the common denominator of ((-8)/(-55))/((-6)/(-20)) and q.
165
Let j(s) = -42*s + 28. Let q be j(3). Calculate the common denominator of 127/24 and (-2)/(336/(-659)) - 28/q.
24
Find the common denominator of (-295)/(-75) + -5 + 16/(-144) and 117/20.
180
Suppos