8560
Let l(h) = 3*h**2 + h. Let y(i) = -11*i**2 + 5*i - 66. Let m(q) = 4*l(q) + y(q). Calculate the least common multiple of m(-15) and 60.
120
Suppose 23*m - 2258 = 7356. What is the least common multiple of 56 and 35/175 - m/(-10)?
168
Suppose 0 = -4*k - 0*k + 5136. Let y(s) = -39*s**2 + 28*s + 8. Let x be y(4). What is the common denominator of 95/6 and k/x + (-4)/14?
6
Let g = 1843/22 + -58747/66. Let m = g - -11939/15. Calculate the common denominator of 693/60 + 38/152 and m.
5
Suppose -2*i - 4*g = -24, 4*i + 13*g - 16*g - 92 = 0. What is the smallest common multiple of i and 34?
340
Let x(a) = -a**3 + 31*a**2 + 100*a - 124. What is the smallest common multiple of 66 and x(32)?
22572
Suppose -15*p + 26*p = -87*p + 3920. Suppose -4*k - 160 = -8*k. Calculate the least common multiple of k and p.
40
Let t(j) = 3*j**2 + 2*j**2 - 3*j**2 - 4*j - 14 - 4*j**2. Calculate the common denominator of t(0) and 54/11.
11
Suppose -5*w - 72 = 13*w. Calculate the least common multiple of -4*(1 + w/8*338) and 16.
672
Suppose 3*j - 26 = 2*l, 3*l + 24 = 5*j - 21. Let r = -1273 - -1336. Calculate the lowest common multiple of j and r.
252
Let f(j) = -j**3 + 24*j**2 + 21*j + 103. Let w(a) = -a**2 - 20*a + 121. Let z be w(-24). Find the common denominator of (65/8)/(1/1) and f(z).
8
Let k(a) = 9*a. Let y be k(9). Let t = 84 - y. Suppose -3*u - 132 = -2*r, -4*u - 2 = -t*u. Calculate the smallest common multiple of 7 and r.
63
Calculate the common denominator of 1413/(-4396)*(-2)/3 and 15/16874.
118118
Let m(c) = -835*c - 48. Let k be m(8). Let z = -215275/32 - k. Calculate the common denominator of z and -77/64.
64
Let a be (1659/14)/((-3)/(-10)). Let t = -2237/6 + a. Find the common denominator of 198/(-616)*(-100)/18 and t.
42
Suppose 13*k - 2136 - 27 = 840. What is the smallest common multiple of k and 42?
462
Let f(i) = -4 - i**2 + 11*i + 1 + i**2 - i**2. Calculate the lowest common multiple of 15 and f(5).
135
Suppose 9*c - i = 6*c + 64, -4*i = 4. What is the least common multiple of c and (1 + 0)/(3/6)?
42
Let y = -111068/54327 + 436/199. What is the common denominator of y and -67/378?
4914
Suppose a + 5*b - 38 = 0, -b + 3*b = -4*a + 62. Calculate the smallest common multiple of a and ((-4)/(-6) - 3/(-9))*7.
91
Let c = -4228 + 63446/15. What is the common denominator of c and ((-1)/252)/((-10)/1060)?
630
Let s = 12640 - 493004/39. Suppose -29*d = -22*d + 154. Find the common denominator of s and (-92)/(-180)*33/d.
390
Let i(d) = -10*d - 18. Let a be i(-5). Find the common denominator of (-4 - (-134)/a)*(-436)/(-9) and -121/10.
60
Let w = -57431/10 - -5737. What is the common denominator of w and 25/24?
120
Let n(i) = 1590*i - 6346. Calculate the smallest common multiple of 28 and n(4).
28
Let m = 7622 + -2295. Let o be (-1492014)/(-280) - (2226/98)/(-53). Let b = o - m. Calculate the common denominator of 33/124 and b.
620
Let q = -9 - -19. Let o = 15 - q. What is the lowest common multiple of 38 + (-6)/18*0 and o?
190
Let u(i) = -36*i - 68. Let j be u(-2). Suppose 3*n + 52 = j*c, c + 5*n = 7*n + 18. What is the lowest common multiple of 70 and c?
70
Let b = -3775/4338 - -116/241. What is the common denominator of b and -55/6111?
12222
Let t = 20864587/5720 - 47416/13. What is the common denominator of t and (-2)/9 + 9605/900 + -15?
440
Suppose -23*q + 63 = -22*q. Let c = 64 - q. What is the common denominator of 4/7 and c - 3 - 435/10?
14
Let s(h) = h**2 - 14. Let f be ((4 - -1) + -3)/(-2) + -3. Let b be s(f). Suppose 5*t = 0, u - 27 = -2*u - b*t. What is the least common multiple of u and 27?
27
Let x = 1494439/4941486 + -7/41877. Let u = 1023 + -1042. What is the common denominator of x and u/57*6 - (-53)/2?
354
Let y = 1/1697928 + -51744638791/5093784. Let c = y + 10161. Calculate the common denominator of (81 + (-39160)/480)*(-127)/7 and c.
36
Let h = -246301/16 + 15391. Calculate the common denominator of -113/836 and h.
3344
Let l(x) = -35*x. Let u be l(4). Suppose 0 = -4*y + 4*o + 12 - 0, 0 = -5*o + 20. What is the common denominator of -73/2 and (-1276)/u - (-2)/y?
10
Let o(n) = 38 - 14*n**2 + 12*n**2 + 16*n - 17. What is the lowest common multiple of 24 and o(9)?
24
Suppose 116897*g - 25042 = 116878*g. What is the lowest common multiple of 10 and g?
6590
Let v = -1448130471/28 - -51708214. Let s = v + 10730. What is the common denominator of 75/16 and s?
112
Let q = -1043/405 + 18467/7695. Find the common denominator of (-170)/8 - 1/(-2) and q.
228
Let x = 4559 - 63857/14. Let h be 16846/32*(-2)/(-790). Let z = h - 8/395. What is the common denominator of z and x?
112
Suppose 56 = -h + 53. What is the common denominator of 8/h*(-234)/(-60) and 31/8?
40
Let r = 4583062/9 - 111862079/234. Let h = r + -31182. Find the common denominator of h and 111/10.
130
Let w(p) = -2*p + 4. Let s(r) = -2*r**2 + 24*r + 2. Suppose 2*z - 4*z + 22 = 0. What is the smallest common multiple of w(-7) and s(z)?
72
What is the lowest common multiple of (((-2)/7)/(296/518))/(2/(-28)) and 10?
70
Let c = 88016/15 + -5872. Let o(s) = -267*s - 27. Let x be o(24). What is the common denominator of c and 0 + 1/(-5) + 14898/x?
165
Let a = -43169/2070 - -484/23. Find the common denominator of a and 8/339.
10170
Let f(c) = -2*c**3 - 8*c**2 - 5*c - 3. Let u be f(-6). Let t be u/(-6)*(-100)/6. What is the common denominator of (-1)/(-3) + t/30 and -111/14?
42
Let p be 230/(-4)*(-104)/(-65). What is the common denominator of p/72 + -1 + (-6)/2 and 11/3?
18
Let r = 138/49 + 513/392. Let y = 5199 + -41663/8. What is the common denominator of y and r?
8
Let p(t) = 4*t**2 - 6*t - 16. Let r be p(-4). Suppose 0 = 21*o - 29*o + r. Suppose 0 = y - 0*y - 2. What is the lowest common multiple of y and o?
18
Suppose -5054 = 4*i + 2*h, -h - 2211 = 3*i + 1577. Let q = i - -5005/4. Find the common denominator of q and (-2)/6*(2769/2)/(-13).
4
Let q(y) = 2*y**2 + 4*y - 26. Let g be q(-6). Let n be 3649479/1320 + (-4)/g. Let b = -2765 + n. Calculate the common denominator of b and -28.
40
Suppose 83*g = 99*g - 160. Calculate the smallest common multiple of g and 204.
1020
Let r = 13798/9 - 967003/630. Find the common denominator of r and (-2)/9 + 166/180.
70
Calculate the lowest common multiple of -3 + (-426)/(-15) + -5 - 22/55 and 4480.
4480
What is the common denominator of -35/954 and (-14428)/(-424) + -16 - 18?
954
Let u(b) = -2*b**2 + 15*b + 33. Let l be u(9). Calculate the lowest common multiple of 9 and (-966)/(-14) - (l - 2).
585
Let f = -209943/2 - -82297755/784. What is the common denominator of -127/70 and f?
3920
Suppose 7*d = 31*d - 240. Calculate the least common multiple of (-6)/(-2) - 1 - (0 + -100) and d.
510
Let h(k) = -4*k**2 - 9*k - 40. Let z be h(-3). Calculate the common denominator of (z/(-42))/(4/(-66)) and 65/322.
644
Let w(p) = -53*p**2 + p + 1. Let j(u) = -158*u**2 + 3*u + 3. Let b(i) = -3*j(i) + 8*w(i). Calculate the lowest common multiple of 8 and b(1).
48
What is the common denominator of -73/20 and ((-7461)/(-774) - 10)*(-90)/108?
2580
Let m(r) = 135*r - 2798. Calculate the least common multiple of m(22) and 7.
1204
Let c = -64761/11 - -5890. Calculate the common denominator of c and -2/321.
3531
Let i = -9415/24 + 394. Let b = 16694 - 1001509/60. Find the common denominator of i and b.
120
Let c = 85 + -80. Suppose 3*o + c*p = 52, -4*p + 88 - 8 = 4*o. What is the smallest common multiple of 27 and o?
216
Suppose 0 = -2*p - 2, -2*k - 258 = -4*p - 14. Let j = -104 - k. What is the smallest common multiple of 4 and j?
20
Let c be (45/10 + -4)*4. Suppose -42 = c*q - 4*w, 5*q = -7*w + 4*w - 170. Let t = q - -37. Calculate the smallest common multiple of t and 12.
12
What is the common denominator of -49/96 and -3 - (8/(-12) - (-18692)/(-8448))?
2112
Let r = -19118/5 - -4550369/1190. Find the common denominator of 61/5 and r.
1190
Let u be (-7)/((-175)/(-10))*10. Calculate the smallest common multiple of 6 and 28944/576 + ((-1)/u)/(-1).
150
Suppose 22*d + 9*d - 47 = -16*d. What is the smallest common multiple of 14112 and d?
14112
Suppose 177 = 72*n - 41*n + 22. What is the smallest common multiple of n and 2224?
11120
Let u = 13158 + -13152. What is the least common multiple of 72 and u?
72
Let n = -1022 - -1462. Suppose 7*a = -15*a + n. Calculate the least common mu