
948
Let s(n) = 19*n**2 - 2*n + 1. Let z be s(1). Find the common denominator of z/(-4)*22/(-48) and (-22)/(-6)*((-21)/60)/(240/(-900)).
16
Find the common denominator of 139/30 and (17820/200)/27*14/(-54).
90
Let s be (18513/(-12))/(-17) - 2/(-8). Suppose -2*v + s - 87 = 0. What is the smallest common multiple of v and 1/(2/5)*2?
10
Suppose -3*h - 2*j + 3 = -36, h - 4*j - 13 = 0. What is the smallest common multiple of 78 and (364/24)/h*-2*-3?
546
Suppose -q = 2 - 4. Suppose 0 = -367*n + 354*n + 104. Calculate the lowest common multiple of q and n.
8
Suppose 175*w = 176*w - 270. Calculate the least common multiple of (-1)/9 + 5430/w and 8.
40
Suppose 0 = c + 5 - 13. What is the smallest common multiple of 3156 and c?
6312
Let i = -1627189654/657 + 2476690. Let a = 10/73 + i. Calculate the common denominator of a and 50/11.
99
Let r = -2627 - -15805/6. Let s = 894262/69 - 12961. Find the common denominator of s and r.
138
Suppose 3*l = -7*h + 3*h + 45, -5*l = 2*h - 5. Let a = 30113 + -30098. Calculate the lowest common multiple of h and a.
15
Let f be (-209066)/(-360) + (-2)/9. Let v be ((-14)/(-42))/((-55)/93819). Let q = f + v. What is the common denominator of 53/42 and q?
84
Let s = 1475/4 - 381. Let o = -6699 - -53725/8. Let y = s + o. Calculate the common denominator of y and -43/10.
40
Find the common denominator of (3933/(-233928) - (-1)/(-19))*184/222 and 119/6.
1998
Let q = 11356 - 442913/39. Calculate the common denominator of -77/26 and q.
78
Let i be ((-24573)/(-159978) + (-6)/39)*18461. Let w = -7/3448 - 142765/1010264. Let m = w - i. Calculate the common denominator of 25/8 and m.
56
Suppose -10 = -2*j, 2*r = 7*j - 2*j - 17. Let g(l) = -5*l - 3 - 1125*l**2 - 1120*l**2 + 2247*l**2 - 3. What is the least common multiple of g(r) and 24?
24
Let d(c) = -37*c - 1558. Let y be d(18). Suppose 5*v + 21 = 3*r, -4*r + 3*v + 7 = -5*r. Find the common denominator of 7/9 and y/(-224) + (-3)/r.
63
Suppose 40 = 5*z + 4*i - 291, 0 = 4*z - 2*i - 270. Calculate the lowest common multiple of 335 and z.
335
Let g be 26*(2/10 + (-12)/(-40)). What is the common denominator of -55/6 and (-1)/g*(-658)/140?
390
Let g(u) = 3*u - 17. Let m = 24 - 16. Let b be g(m). Let l = 58 - b. What is the smallest common multiple of 21 and l?
357
Let p(j) = 322*j - 161*j - 163*j - 30. Let i be p(-14). Calculate the common denominator of 103/(-12) - ((i - 4) + 2) and 11/60.
60
Let z(s) = 2*s**2 - 4*s - 63. Let f be z(-6). Find the common denominator of -93/206 and ((-3)/4)/(f/(-1562)).
206
Suppose -2*q = 3*x - 38, -3*x - 4*q + 17 = -17. Let c be (x/12 - 4)*(-8035)/(-2). Let u = 11393 + c. Calculate the common denominator of -51/44 and u.
132
Let u(v) = v**3 + 2*v**2 - 3*v + 1. Let x be u(-3). Let z = 3 - x. Let f = 9723 + -9699. What is the lowest common multiple of f and z?
24
Let j = -2284921/1084356 + 1/38727. Calculate the common denominator of (-1)/((-8)/(-122)) - 1 and j.
28
Find the common denominator of (-1*1)/((-3249)/31312 - (-6)/(-32)) and -81/158.
2370
Suppose -12420 = -3*j + 4680. Let h = -4984107 - -59740805/12. Let m = j + h. Find the common denominator of -95/8 and m.
24
Let u be (-32)/(-48) - (-139421)/(-20460). Let j = -4/1705 + u. What is the common denominator of j and 21/11?
220
Let o = -2321/1246 + 1/178. Let r be ((-20)/16)/(1/(-8)). What is the common denominator of o and 4/r - 982/(-20)?
14
Suppose -2*z + 19 = 27, 0 = -x - 3*z + 1428. Calculate the smallest common multiple of x and 198.
15840
Suppose -3*y - 5*n = -71, 4*n + 13 = -2*y + 61. Let t(g) = 52*g + 214. Let z be t(-4). Let l = y - z. Calculate the smallest common multiple of l and 6.
48
Suppose -35 = f - 88. Let q = f + -52. Calculate the common denominator of (16/(-15) + q)*10137/(-62) and -85/44.
220
Let c = 2337557048/135 + -17315819. Let l = c + 2901/5. What is the common denominator of l and 53/54?
54
Suppose 2*y - 34 = 4*t, 3*y - 27 = 5*t - 2*t. Suppose 4*z + 15 = -4*u + 3, -3*z - 5*u - 11 = 0. Calculate the common denominator of -85/18 and 485/20*z/t.
144
Suppose 3*c + 21 = -3*t, 11*c + 31 = -3*t + 6*c. Let v be (1786/27)/(t + 68/30). Let k = v + -248. Find the common denominator of 14/45 and k.
90
Let m = 2647235/1169 - 786/1169. Let n = -2260 + m. Find the common denominator of n and 4 - 5 - (-48)/(-14).
7
Find the common denominator of 3/(-9)*-3 - 3/((-16380)/(-4571)) and -133/780.
780
Let u(x) = 216*x + 2820. What is the smallest common multiple of 36 and u(-13)?
36
Let c be 50/4*(-5 - -15) + 1. Find the common denominator of (94/15)/(336/c) and -27/26.
260
Let m be 42/(-10) - (-92)/(-115). Find the common denominator of (-6)/15*m/80*-730 and 53/32.
32
Suppose 0 = 7*m + 159 - 481. Suppose -15 = -3*s, -19*s - 63 = -3*x - 22*s. What is the least common multiple of m and x?
368
Let p = -1962283399/11690 - -167860. Let f = p - -90584/157815. What is the common denominator of -125/6 and f?
54
Let a(g) = 1432*g**2 + 16*g + 14. Calculate the least common multiple of 3146 and a(-1).
15730
Let b(t) = t**2 - 26*t + 92. Let l be b(22). Calculate the common denominator of 43/10 and (-2216)/(-2240) - (l/(-8) + 2).
280
Suppose 4*y = 3*k - 92, 4*y = -5*k - 64 + 4. Calculate the lowest common multiple of 10 and 6768/470*(y/3)/(-2).
240
What is the common denominator of -53/14 and (11 - 148923/13536)/((-2)/(-54))?
10528
Calculate the least common multiple of 1*-8*33/((-264)/10) and 260.
260
Let u(y) = 17*y**2 + 3*y - 23*y - 52 - y**3 + 58. What is the smallest common multiple of 14 and u(14)?
2198
Let m = 15707 - 15425. What is the smallest common multiple of 282 and m?
282
Find the common denominator of ((-171)/540*-15)/((-2)/3) and -49/186.
744
Let s be (-7)/7*(-10 - (-6)/3). Suppose 0 = 7*y - s + 1. Suppose 0*a + 55 = 5*a. What is the least common multiple of y and a?
11
Let r = -39690647/12 + 3304331. Let j = 3226 + r. Let s = -12508 + 150023/12. Find the common denominator of s and j.
12
Let p = -33065/1668447 + 17/9757. What is the common denominator of p and 29/21?
13167
Suppose -d = 4*d - 15. Let s be d/(-2)*(-40)/6. Let a = 20 - s. Calculate the smallest common multiple of a and 6.
30
Let o(l) = l**2 - 30*l + 170. Calculate the smallest common multiple of o(24) and 1362.
17706
Let x(p) = 117*p - 7017. Let j = 136 - 93. Suppose 2*m - a = 13 + 88, -a = m - j. Calculate the lowest common multiple of x(60) and m.
48
Let c(a) = -155*a - 1. Let l(k) = 2*k**3 - 17*k**2 - 18322*k + 146648. Calculate the lowest common multiple of l(8) and c(-2).
2472
What is the common denominator of -81/1354 and (-117)/270*189/(-42)?
13540
Suppose -8*k + 667808 = 320*k. Calculate the smallest common multiple of 28 and k.
14252
Suppose -3*i = o + 4*o + 6, -4*i + 4*o + 24 = 0. Suppose 0 = -i*p + 4 - 10. Calculate the common denominator of (-157)/30 - (3 + p) and -87/22.
330
Let z = -4906766799361/6472 + 758153078. Let w = 9/809 + z. What is the common denominator of (-2)/6 - (-142)/(-60) and w?
40
Let h = 352/151 - 259324/110985. Let s be 0/1 - (-792)/(-1470). Let t = s - h. Calculate the common denominator of -55/24 and t.
120
Calculate the common denominator of (-1)/(-4) - 5/(-4) and ((4 - 1) + 170/(-50))/(990/(-3825)).
22
Let t = 12419/62805 - 25/159. Find the common denominator of 28/155 and t.
12245
Suppose -788 = -5*u - 2*f, u - 165 = 4*f + 19. What is the lowest common multiple of 720 and u?
1440
Let r = -1849 - -3609. Calculate the smallest common multiple of r and 64.
3520
Let h(t) be the first derivative of 7*t**2/2 - 78*t - 68. What is the least common multiple of 15 and h(14)?
60
Let j = 11088 + -11008. Let n = -72 + 136. Calculate the smallest common multiple of j and n.
320
Suppose -30 = -5*c, 2*t - c = 7*t - 26. Let g = 0 + 3. Suppose -126 = -g*x - t*x. What is the smallest common multiple of 42 and x?
126
Let i = 2151183 + -6969833069/3240. What is the common denominator of i and 169/1620?
3240
Suppose -264 = -81*j + 69*j. What is the smallest common multiple of 474 and j?
5214
Let l be 2 - (26 - 30)*449/4. Let v = 465 - l. Suppose 0 = -5*u + 38 - 8. Calculate the least common multiple of u and v.
42
Let s be 5/(-241)*((-165)/30)/(-11). Let h be 4/(15424/(-38038)) + 2. Let y = s + h. Calculate the common denominator of 45/16 and y.
16
Suppose 3 = 4*w - 1. Let y be (-2317)/(-210) + w/5. Let