of -37/90 and (-130)/162*((-27 - -10) + 18).
810
Find the common denominator of 19 + -2 + (-23835)/1350 and 1/192.
2880
Calculate the common denominator of -43/800 and 4/(-7) + (5 - (-13 + 194232/11200)).
5600
Let f(t) = -2*t**2 + 11*t + 8. Let o be f(6). Suppose 2*j + 48 = -4*k, 40 = -j - 2*j + o*k. What is the common denominator of ((-2)/j)/((-18)/(-3192)) and 5/8?
24
Calculate the common denominator of 48/5285 and ((-82)/42)/((-1448)/(-724)).
31710
Let i = -9331/1401 + -3/467. Let a be 5*1*(16 - 15). Find the common denominator of (0 + 51)/(a + -11 - 1) and i.
21
Let p(i) = 2*i**3 + 9*i**2 - 3*i - 26. What is the lowest common multiple of p(-4) and 31?
62
Suppose -5*s + 482 = -2*x, -3*s + 3*x = -4*s + 93. Let p = s + -89. What is the least common multiple of 642 and p?
4494
Let f be ((-14)/6 + 1)*315/(-30). Suppose f*d - 6*d + 448 = 0. Let q = -36 - d. What is the smallest common multiple of q and 8?
40
Let k = -94/417 - -24569/18348. Suppose n = -2*g - 9907, 0 = -g - 2 - 2. Let w = 217727/22 + n. Calculate the common denominator of k and w.
44
Let h = 3083 + -2863. Calculate the smallest common multiple of 88 and h.
440
Suppose 22 = 5*g - 138. Suppose 0*q + 68 = 17*q. What is the smallest common multiple of g and q?
32
Let k = 52 - 25. Let l = -7/4442 + -304151/79956. Calculate the common denominator of l and ((-119)/(-36) - -1) + k/(-18).
36
Let z = 9180 + -27532/3. Find the common denominator of z and 25/422.
1266
Let a = -25171 - -27011. Calculate the smallest common multiple of a and 92.
1840
Let v be 12 + -9 - (0 + 0 + 1). What is the lowest common multiple of 3744/99 + -2 - v/(-11) and 48?
144
Suppose -2*u = 5*z - 1915, -2*z + u = 4*u - 755. Find the common denominator of 71/147 and ((-44)/(-14))/(-10*(-6)/z).
294
Suppose 0 = 24*f - 73 - 263. Suppose -k = -3*y, 4*k = 4*y + y + 7. Suppose 4*n = k*n + 12. What is the smallest common multiple of n and f?
84
Let i = 2/5759 - -23473/17277. Calculate the common denominator of i and (-21 - (-22 - -8))/(6*1).
78
Let u(k) = -5*k**3 - 2*k**2 + k + 6. Let q be u(-2). Calculate the lowest common multiple of 19 and (1 - 4) + q/9.
19
Let v = 103 - 107. Suppose 11*c = 2*c + 1368. Calculate the common denominator of -39/5 and (6/v)/(32/c).
40
Let n = -94/3 - -47. Suppose -11*r - 20 = -21*r. Find the common denominator of 282/144 + (-1)/r and n.
24
What is the common denominator of 114/(-152) + -1 + (-13)/7 and 51/17 + (0 - (-17)/(-42))?
84
Suppose -36*t - 22908 = -30*t. Let l be 1 + t/(-26) + 6/39. Let u = l - 132. Calculate the least common multiple of 24 and u.
48
Suppose -87*s - 6 = -90*s. Suppose -r + 3*v + 42 = 0, -4*r = -v - v - 168. What is the common denominator of (1 + (s - 5))/((-72)/r) and 73/6?
6
Calculate the common denominator of (-13338)/(-111605) + 3/(-30) and -3/136.
13736
Let n be (4/(-3))/(4/(-24)). Let u(k) = -k**3 + 6*k**2 + 29*k - 6. Let w be u(9). Let a = w - n. What is the lowest common multiple of a and 36?
36
Let n = -29119/18 - -1623. Let p = 139355/21 + -6638. What is the common denominator of p and n?
126
Let r(a) = -a**2 - 5 + 27 + 4 - a. Suppose 0 = -4*b - 4, -2*v + 4*b + 56 - 62 = 0. What is the smallest common multiple of 9 and r(v)?
18
Suppose 5*o = 3 - 13. Let r be o/(-10) - (-9)/5. Suppose -d = -r*d + 2. What is the smallest common multiple of d and 9?
18
Suppose -25*z = -2*z - 46. Suppose -3*v + 3*o = 7*o - 244, z*o = 2. What is the lowest common multiple of 80 and v?
80
Calculate the smallest common multiple of 42 and (4 + -14)*(8514/55)/(-2).
5418
Let k(d) = 2337*d**2 + 277*d - 276. What is the least common multiple of 2 and k(1)?
2338
Let k = -8699 - -8709. What is the smallest common multiple of k and 26922?
134610
Let p = 2/213789 - -2161615/3135572. Find the common denominator of 93/616 and p.
1848
Find the common denominator of -20/2583 and 1/(-23) + 451/(-1265) - 2389/(-5535).
7749
Let l be (-1 + (-7900)/(-3))/(-2). Let m = -1297 - l. Let p = -5721/3556 + -281/127. What is the common denominator of m and p?
84
Let f = 14732 + -9442. Let w = f - 95251/18. What is the common denominator of w and 83/33?
198
Let j be (-1675)/(-3) - (-3 + 40/12). Let x = j + -1159/2. Find the common denominator of -145/132 and x.
132
Let l be 95/(-3)*(-3 + 0). Let u = l + -90. What is the least common multiple of u/(-5) - ((2 - 1) + -26) and 27?
216
Let r(k) = k**3 + 13*k**2 - 299*k + 49. What is the lowest common multiple of 381 and r(-25)?
3048
Let j(o) = 11*o + 422. Let b be j(-32). Let h = -9466 + 94751/10. What is the common denominator of h and (b/33)/(14*2/42)?
110
Let a = -202184245/534 - -378622. What is the common denominator of a and 59/18?
1602
Let d(n) = 3*n**2 - 5*n + 4. Let t be d(3). Suppose 3*b = 5*s + t - 7, 2*s - 3 = -b. Suppose -4*q = -s*q - 56. What is the smallest common multiple of q and 28?
28
Let b = -2141/344 + -200/43. Let c be -6 - -5 - (-51 + 2). Calculate the common denominator of b and 11/(-3)*44/c.
72
Let l = 1 - -2. Let o be (l - (-10)/(-3))*-9. Suppose o*r + 2*t = -4, -r - 3*t - 23 = -5*r. Calculate the lowest common multiple of 28 and r.
28
Let l = -479/68 + 22/17. Find the common denominator of l and ((-30954)/1386)/(-14*(-2)/3).
28
Suppose -316*z + 1760 + 1084 = 0. What is the lowest common multiple of 4060 and z?
36540
Let j be (-29867)/69 - 5/(-30)*2. Let v = j - -1688561/3910. What is the common denominator of -55/16 and v?
1360
Let s(r) = 2*r**3 + 16*r**2 + 211*r + 1692. What is the smallest common multiple of s(-8) and (-9)/(-2)*400/6?
300
Let d = 284/97 - 56808/17945. Find the common denominator of 68/111 and d.
555
Suppose -3*u + 90 = -5*y, -2*u - 643*y + 65 = -648*y. What is the lowest common multiple of u and (13 - -2)*(0 - -1)?
75
Let b(s) = s**2 + s + 5. Let d be b(5). Find the common denominator of 4/((-264)/195) - 0 and 14/d + 121/(-90).
198
Let z = -3181/20 + 1541/10. What is the common denominator of -29/380 and z?
380
Let b be 2 - -3*(-2)/(-3)*-344. Let y = -2039/3 - b. What is the common denominator of -26/81 and y?
81
Let d = -219 - -297. Suppose 3*c - 560 = 4*l - 8*l, -l - 4*c = -127. What is the lowest common multiple of d and l?
858
Let q(b) = 25*b**2 + 9*b + 22. Let h(k) = k + 1. Let n be h(-3). What is the least common multiple of 4 and q(n)?
104
Calculate the common denominator of 899/(-165) - -1*(4 - -2) and 23/7.
1155
Let n be -2*2 - (-35)/7. Let q be (n - 3)*28/(-8). Suppose -2*z + z + q = r, 4*r = -z + 1. Calculate the least common multiple of z and 9.
9
Suppose -3*r + 377 - 11 = 0. Find the common denominator of ((1 + 1)/18)/(112/11256) and -2 + 3 + r/4.
6
Suppose 6784 - 1040 + 2356 = 27*g. What is the smallest common multiple of 20 and g?
300
Suppose -5*k + 3*w + 2400 = 0, -3*k - 6*w + 1421 = -4*w. Calculate the common denominator of (-3)/1 - (-218)/16 and ((-6)/(-136)*-2)/(k/(-4823)).
408
Let j = -2252 - -2270. Let g = -3 - -13. Let b(h) = 2*h - 2. Calculate the lowest common multiple of b(g) and j.
18
Let a(c) = -2*c**2 + 10*c - 7. Let b be (-27)/((-3)/(-6) - 2). Suppose 4*o - 52 = -5*z - 12, -2*o = 2*z - b. Calculate the lowest common multiple of a(z) and 4.
4
Suppose -47*k + 15 = -44*k, 2*k - 678 = -2*d. What is the least common multiple of d and 10?
1670
Let r = 13 - 10. Let k = 63 + -63. Let f(m) = m**2 - m + 5. What is the least common multiple of r and f(k)?
15
Let g = -467/19801 + 269313587/3366170. Let u = g - 1188/17. Calculate the common denominator of u and -33/20.
20
Let c(o) = -19 - 3*o - 7 - 3. Let h be c(-9). What is the smallest common multiple of 15 and 14/h - -3 - -5?
15
Let b be (1/(155/2918))/((-416)/(-76)). Let k = b + -36/403. What is the common denominator of k and -63/16?
80
Let s(p) = -8*p - 62. Let q be s(-7). What is the least common multiple of (2 + 1)/((-4)/(-72)) and (-1 + (-16 - 3))/(4 + q)?
270
Let k(z) = z**2 - 23*z - 54. Suppose -3*o - v = -30 - 44, -2*o + 68 = -4*v. What is the lowest common multiple of 40 and k(o)?
120
Let h(k) = -30*k + 185. Let s be h(6). Suppose -s*v = -6*v + 25. What is the least common multiple of v and 20?
100
Let j(v) = 2*v**3 - 5*v**2 - 1. Suppose 2*i = p - 2*i - 19, -p + 5*i + 23 = 0. What is the smallest common multiple of j(p) and 3?
24
Suppose 40*g + 75*g - 1642 = 2498. Calculate the smallest common multiple of 1028 and g.
9252
Let x = -547