be (-12)/(-22) + (-420)/165. What is the common denominator of -85/2 and (-7338)/(-924) - (h - -10)?
154
Let s(i) = -2*i - 19. Let g be s(7). What is the common denominator of (-4)/(-16) + (g/(-84) - 1) and -109/22?
154
Let k = -24 - -35. Suppose 0 = 2*o + k - 1. What is the common denominator of 137/18 and ((-75)/(-60))/(4/o)?
144
Suppose 4*j + q - 29 = 0, -q = 5*j - 4*q - 49. Calculate the smallest common multiple of j and (-3844)/(-31) - (-1 - -9).
232
Let p = -40658308808039/440888430066 - -39821751/424667. Let o = p - 1/27321. Calculate the common denominator of o and 31/22.
418
Let a = 1271/24 + -51. What is the common denominator of (-4)/(-10)*(-2119)/(-156) and a?
120
Let p = -31480391/216 - -145743. What is the common denominator of p and 58/513?
4104
Let q = -327013 - -241989683/740. Calculate the common denominator of 59/74 and q.
740
Let l(q) = 228*q. Let h be l(-1). Let m = h - -983. Let t = -6826/9 + m. Calculate the common denominator of t and 17/18.
18
Suppose -2*o + 20 = -6*o, 0 = -r + 3*o + 17. Suppose -4*d + 90 = -0*t + 2*t, -5*d + 113 = 3*t. What is the lowest common multiple of r and d?
22
Let g(h) = h**2 - 4*h + 2. Let w be g(3). Suppose -z + 0 + 3 = 0. Calculate the common denominator of 95/2 and z - w/((-76)/108).
38
Suppose -5*i = 5*d - 15, 4*d + 3*i - 2*i = 3. Suppose -7*p - 6*p + 26 = d. Calculate the least common multiple of 24 and p.
24
Calculate the smallest common multiple of -406*(6/(-14) + 66/(-42)) and 29.
812
Let a = -1259/1473 + 465856/351065. Let w = a - 11/65. What is the common denominator of 65/18 and w?
198
Suppose 10*q + 4*q = 210. Suppose -5*p + 19*n - q*n = -14, 2*n - 8 = -5*p. Calculate the least common multiple of 11 and p.
22
What is the lowest common multiple of 212/(-530) - 7024/(-10) and 312?
2808
Suppose 11*r - 136 = -3920. Let m = -1317/4 - r. Calculate the common denominator of 49/165 and m.
660
Suppose 2430 = 6080*w - 6071*w. What is the least common multiple of w and 216?
1080
Let n = 166863/44 + -3792. Let x = -95 + 101. Find the common denominator of n and (x/(-24))/(3/(-165)).
44
Let p = 23496 + -23488. What is the smallest common multiple of p and 1822?
7288
Let f be (-2)/(6 + -2) - 46028/8. Let c = f - -63252/11. Calculate the common denominator of -3 + (-5)/(25/(-63)) and c.
55
Suppose 8 = -2*x, -3*c + 2410 = -2*x + 7*x. Calculate the lowest common multiple of 2250 and c.
20250
Let y = 6523 - 6164237/945. Let l = y + 2144/945. Calculate the common denominator of -46/45 and l.
45
Let d = -103337/32 + 3231. Let t be ((-4)/1876)/((-216)/325564). Let z = t - -1/1809. Find the common denominator of d and z.
224
Let h = -182508 + 73003243/400. What is the common denominator of 97/950 and h?
7600
Find the common denominator of ((-60)/(-54))/(151/25 - 7) and 149/48.
432
Let x(r) = r**3 - 12*r**2 + 6*r - 18. Suppose -5*y - 4*v = -76, -y + 0*v - 4*v = -28. Calculate the least common multiple of -1 - 1 - (3 + -21) and x(y).
432
Let q = 35 - 30. Suppose -o - 3105 = q*y, -2*o = -y - o - 615. Calculate the common denominator of -1 - 2 - y/(-176)*-2 and 59/16.
176
Suppose -3*g = -31 - 8. Let z(x) = -x**3 - x**2 + 2*x + 2. Let b be z(-1). What is the lowest common multiple of 2 + b/(-1 + -3) and g?
26
Let m = 488407/24 - 20344. Find the common denominator of 23/1804 and m.
10824
Let x(c) = -c**2 + 4*c + 14. Let l be x(6). Suppose -l*f + 91 = 7*r - 4*r, 2*r = 3*f + 39. What is the lowest common multiple of r and 9?
27
Let s = -361/2 - -93497/518. Let n = s - 3615/2849. What is the common denominator of n and -43/296?
3256
Suppose -2*m + 1 - 3 = 0, -89687 = -3*g - 4*m. Let n = 2421727/81 - g. Calculate the common denominator of n and 41/15.
405
Let a = 1072/3 - 7552/21. Find the common denominator of a and -31/126.
126
Calculate the common denominator of -169/870 and (-12665)/23244 + (0 - 2 - (-9)/4).
11310
Let s(x) = x**3 + 7*x**2 - 5*x + 16. Let f = -250 - -244. Let p(q) = q - 1. What is the smallest common multiple of s(f) and p(5)?
164
Let b = 20189149/12285 - 8217/5. Let c = b + 105731/49140. Let x = -9097/30 + 1422/5. Find the common denominator of c and x.
60
Let s be 1/(-6) - (8 + 279/(-54)). Let q(y) = -y**3 - y**2 - 4*y - 8. Calculate the least common multiple of 70 and q(s).
770
Let b be (9/(-45))/((-2)/(-10)). Let r be -52 + b/((2 + 0)/(-2)). Let y = r + 58. Calculate the least common multiple of y and 5.
35
Suppose 10*d - 23*d - 29 = -55. What is the smallest common multiple of (-4 + 2)/(4/(-722)) and d?
722
Let w be -1*-9*48 - -3. Let k = w - 381. Calculate the least common multiple of 210 and k.
1890
What is the least common multiple of 130 and ((4875/(-2))/(-25))/(3/32)?
1040
Suppose -2 = g + 5*b - 44, 4*g - 2*b = 212. Calculate the smallest common multiple of (0 - 28/(-294))*-3 + 620/14 and g.
572
Calculate the smallest common multiple of 2532/23 - 14/161 - -2 and 84.
336
Let f = 805 + -9671/12. Find the common denominator of (-10)/(-1) + 88072/(-3488) + 0/(-1) and f.
12
What is the lowest common multiple of (91/(-273))/(3/(-477)) and 340?
18020
Let a = -234 + 246. Find the common denominator of 5/28 and 9540/(-2400) - a/(-10).
280
Let k(d) = d**3 + 22*d**2 + 20*d - 28. Let f be k(-21). Suppose -5*l + 236 = 36. Let y = f + l. What is the least common multiple of y and 6?
66
Find the common denominator of 1 + 5/(-1) - 4345/7900 and -47/3.
60
Let b(m) = -2*m - 12. Let f be b(-9). Let q = f + -2. What is the lowest common multiple of -4 + 52 + 17 + -10 and q?
220
What is the common denominator of 0 - (5 - (-230)/(-8)) and -15/68?
68
Calculate the common denominator of 3/19 + (-83712)/351120 and -29/175.
1925
Calculate the common denominator of -43/1788 and ((-14)/(-1260))/(4 - 1032/260) + 1.
5364
Find the common denominator of -57/728 and (-17)/(-374)*5/(-2).
8008
Let m be -6 - ((-404)/(-38) + -2). Let p = m - 40/57. What is the common denominator of p and -71/21?
21
Let t(x) = 14*x**2 - 6*x - 144. Let a(u) = -5*u**2 + 2*u + 48. Let p(g) = 8*a(g) + 3*t(g). Calculate the lowest common multiple of p(6) and 22.
132
Let w = -112459/2 + 56265. What is the common denominator of 523/(-42) - (-2)/7 and w?
6
What is the lowest common multiple of (-3120)/1664 - (-6175)/8 and 35?
770
Suppose 4*b = 3*w + 9, -3*b - 5*w + 12 = -2*w. Suppose b = 2*p - 1. Suppose 101 = 3*x + 5*z, x - p*z = -z + 23. Calculate the least common multiple of x and 9.
27
Let c be 2/(-20)*6/((-108)/(-5825)). Let d = c - -250/9. Let o = -29793/20 - -1490. Find the common denominator of o and d.
60
Let v = -3686032/27782053 + -3/620828. What is the common denominator of 55/24 and v?
4296
Suppose -5*z + 3587 = -4*s, 7*z - 4*z = -3*s - 2724. Let c = s + 10931/12. Let u(i) = i**2 - 4*i - 2. What is the common denominator of c and u(4)?
12
Let h = 2/109307 + -5574661/218614. Let f = 399/221 + -132499/70941. Let k = 2606/535 - f. Calculate the common denominator of h and k.
30
Let o = -573 - -575. Find the common denominator of -41/92 and -2 + (2 - (o + (-194)/32)).
368
Let g = -8712 - -8752. Suppose 5*h - 15 = 2*q, h + 0*h = -q + 3. Suppose h*z - g = 2*t, -51 = -4*z + 3*t + 4. What is the lowest common multiple of z and 42?
210
Let f be (-75)/2 - 6/12. What is the common denominator of (1 - -1) + 2/f and ((-90)/270 - 20/3) + 37?
19
Let b = 419/10 + -7/5. Let u be 76060/(-45)*6*9/66. Let k = u + 1382. Find the common denominator of b and k.
22
Let f be ((-174)/4)/((-42)/84). Suppose -15 + f = 4*b + a, -4*a + 18 = b. Calculate the smallest common multiple of 2 and b.
18
Suppose 3*l + 2 = 8. Suppose 5*r - 5 = -5*v, 20 = -4*r - 0*v + l*v. Calculate the least common multiple of (3 + (-42)/(-18))*r/(-2) and 5.
40
Suppose 10 + 5 = 5*h. Suppose 5*j = -5*s + 750, -2*j - 52 = 4*s - 348. Calculate the least common multiple of h and j.
456
Let t = -7279/5068 + -18/181. Suppose -31*u + 1350 = -u. Find the common denominator of u and t.
28
Suppose 1620 = 2*o + 2*x, 7*o + 822 = 8*o - x. Calculate the lowest common multiple of 918 and o.
7344
Suppose 818 = r + 3*t, -5*r - 4*t + 4064 = -2*t. Calculate the common denominator of -37/16 and -94*(-5)/r - 184/644.
464
Suppose -5*o - 4*a = -1073, -7*o - 5*a = -9*o + 416. Let y = 219 - o. What is the smallest common multiple of 190 and y?
570
Suppose -67*j + 1656 = 71*j. What is the lowest common mult