28/60)/(0 - (-22)/187).
120
Let h(c) = -867*c - 5173. What is the smallest common multiple of h(-7) and 640?
4480
What is the common denominator of -67/144 and (-21 - 132875/(-6400))*(-1)/20?
46080
What is the common denominator of (-12)/8*-4 - 57605/9389 and ((-64)/288)/(4/174)?
687
Let h(q) = -q**3 - 4*q**2 - q - 3. Suppose 2*x - 10 = 2*r, 0 = -14*r + 18*r + 12. What is the lowest common multiple of (-177)/59*(-5)/x*2 and h(-5)?
135
Suppose 2*l - 101911 = 5*y, -4*l = -0*l - 3*y - 203787. Let p = -5400001/106 + l. Find the common denominator of 65/16 and p.
848
Let r = 65 + -92. Let s = r + 42. Calculate the least common multiple of 10 and ((-12)/16)/(s/(-80)).
20
Let s = -22846/3 - -14850083/1950. What is the common denominator of s and 53/9?
5850
Let y(s) = -s**2 + 12*s - 30. Let k be (7/(-2))/((-22)/132). Let t(m) = -m**3 + 20*m**2 + 23*m - 22. What is the lowest common multiple of y(4) and t(k)?
20
Let f = -5240 + 110069/21. Calculate the common denominator of 8/231 and f.
231
Let j = -5068988855042 - -4153478777933522771/819390. Let r = 6/12415 - j. Calculate the common denominator of r and 31/15.
330
Let t(h) = -3*h**2 - 33*h + 24. Let k be t(-12). Calculate the least common multiple of ((-2)/((-48)/(-40)))/(2/k) and 10.
10
Suppose 3*l - 411 = -126*b + 128*b, 5*l + 4*b - 663 = 0. What is the lowest common multiple of 1080 and l?
1080
Suppose 6*i = -12*i - 25650. Let j = i + 45581/32. Find the common denominator of -117/40 and j.
160
Let d be (-4)/6*-111 + 0. Let c = -158 - -100. Let u = c + d. Calculate the smallest common multiple of 6 and u.
48
Calculate the common denominator of (-572)/66 + (-10465)/(-1134) and 35/1782.
1782
Let o be (15 - (-711)/(-36))/((-2)/40). Suppose -5*k + p + 3*p = -86, 5*p = -5*k + o. Calculate the lowest common multiple of k and 9.
18
What is the common denominator of -101/704 and -32*10*10/12100?
7744
Let h be (2/(-145))/(25/6050). Let a = -4/29 - h. Calculate the common denominator of a and 2/5.
5
Suppose -27*l + 409 + 131 = 0. What is the common denominator of (-1)/4 - (-1)/8 and (336/(-3780))/((-1)/l)?
72
Calculate the common denominator of ((10/8)/(-5) - -2)*(-9802)/377 and -125/24.
24
Let y = 19090/9 + -1240918/585. What is the common denominator of y and -121/90?
1170
Let k(a) = 2149*a - 36. Let x be k(-8). Let z = x + 1447255/84. Calculate the common denominator of -29/16 and z.
336
What is the common denominator of -12/1975 and ((-3)/50 + 0)*8690/(-198)?
11850
Let h be ((-2)/5 - 0)*(-8955)/18. Suppose 15*d - 296 = h. Calculate the least common multiple of d and 33.
33
Let t = -1429 + 35762/25. What is the common denominator of -83/70 and t?
350
Let b be 5 - (-1)/(5/(-10)). Suppose -29 = -b*z - 17. Suppose -6 = z*y - 30. Calculate the lowest common multiple of y and 1.
6
Let b = -8856 + 40416. Let p = b - 1325641/42. Calculate the common denominator of 4748/(-2520) + (60 - (-132398)/(-2205)) and p.
42
Let b = -98059/22 + 4453. Find the common denominator of 79/2950 and b.
32450
Let o be (7 - (-1255716)/(-16))/((-36)/(-8)). Let q = -17434 - o. What is the common denominator of 5/6 and q?
18
Let j = 44801 - 179123/4. Let l = -40/921 + -45503/5526. Find the common denominator of j and l.
36
Let l = -1081 + 1192. Let g(w) = -w**3 + 6*w**2 - 4*w + 1. Calculate the least common multiple of g(5) and l.
222
Let x(k) = -286 + 145 - k + k**3 + 147. What is the smallest common multiple of 32 and x(2)?
96
Let w be (-43272)/(-1792) - (-27)/(-63). Let y = w + -9023/288. Calculate the common denominator of -81/2 and y.
18
Find the common denominator of 9/56 and (-10)/(-2) - 230391/45156.
3976
Calculate the common denominator of 2/261 and (156/17110)/((-158)/(-395)).
15399
Let n be ((-72)/20)/((-1)/(-10)). Find the common denominator of (128/n - 0)/((-4)/(-8)) and -3 - 141/(-9) - 0.
9
Let b(g) be the second derivative of g**4/12 - g**3/3 - 5*g**2/2 + 15*g. Let t be b(3). What is the lowest common multiple of -5*(3 - 5)*t/(-5) and 36?
36
Let g(c) = c**2 + 7*c + 16. Let j be g(-6). Let r = 13 - j. Suppose r*q + 16 = 136. What is the smallest common multiple of q and 6?
120
Let l(u) = -u**3 + 16*u**2 + u - 2. Let t be l(16). Suppose 0 = -t*j + 2*j + 1548. What is the smallest common multiple of 30 and j?
1290
Suppose -4*q = -2*b + 88, -b - 5*q + 3*q + 48 = 0. Suppose b = -2*k + 88. Calculate the least common multiple of k and 24.
168
Let u = 503137 + -4048015/8. Let c = -481561/168 - u. Calculate the common denominator of c and -41/21.
84
Let g(c) = -8*c**3 + 11*c**2 + 134*c + 24. What is the smallest common multiple of g(-10) and 40?
38920
Let w = -83/192 + 40979/73920. What is the common denominator of w and -53/25?
1925
Calculate the common denominator of -47/14 and ((-2)/36678)/(-1 - (-1815)/1845).
85582
Let p = -86 + 113. Let f(h) = -3*h - 10. Let x be f(-6). Let b(u) = u - 2. Calculate the lowest common multiple of b(x) and p.
54
Let s be (2 + (-53)/3)*24. Find the common denominator of 5/(-10) - 2/s and (13225/40)/23 - 21.
376
Let b = -210 + 256. Suppose -15*p - 1 + b = 0. Calculate the smallest common multiple of p and 33.
33
Suppose 45 - 15 = 5*p + f, -5*f = -5*p. Suppose -4*j = -2*l - 33 - 11, -p*j + 4*l = -52. What is the least common multiple of j and 29/16*6 + -10 + 486/48?
132
Let r(x) = 2 + 2*x**2 - 11*x**3 - 3*x**2 + 0*x**2 + 4*x**3 - 3*x. What is the lowest common multiple of r(-2) and 10?
60
Let g = 2/1249 - -28713/8743. What is the common denominator of g and (14/(-12))/(108/234)?
252
Suppose 2*w - 4*k + 144 + 32 = 0, 2*k = -w - 108. Suppose 8*j + 655 = 13*j. Let t = w + j. Calculate the lowest common multiple of t and 6.
66
Suppose 0 = -4*d + 5*v + 82, 0 = -2*d - 5*v + 53 + 63. Let p be 6/((-12)/435*4). Let y = -57 - p. Calculate the common denominator of y and d.
8
Suppose -19*c - 51873 = -52101. Calculate the least common multiple of c and 2614.
15684
Let c = -32 - -52. Let f(x) = 5*x**3 + 25*x**2 - 8*x - 4. Calculate the least common multiple of f(-5) and c.
180
Let y = -297 - -23. Let t = y + 292. Suppose -2*a = -2*x - 38, 0*a - 41 = -2*a + x. What is the smallest common multiple of t and a?
198
Let i = 212 + -183. Find the common denominator of -101/36 and (-3)/192*(3 - i).
288
Let k = 8441/174 + -996/29. Let m be -1 - -2 - (-103981)/(-20). Let q = -5204 - m. Find the common denominator of q and k.
60
Suppose 2*u = 4*u - 44. Calculate the lowest common multiple of (-16 - 2)/(858/(-2288)) and u.
528
Let p(t) = -8 + 48*t**2 - 23*t**2 + 9*t - 23*t**2. Let k be p(-5). Find the common denominator of 6/27 - k/((-864)/676) and 11/8.
8
Suppose -5*v + b + 4*b = -50, -3*v - 3*b = 0. Suppose -3*z - 3*w + 204 = 0, -v*w = -z - 65 + 157. Calculate the least common multiple of 72 and z.
72
Let g be (-25 + 26)*139378/(-44). Let q = -2922503/924 - g. Let p = q + -202/33. What is the common denominator of p and -93/14?
28
Suppose -361*q = -371*q + 580. Calculate the lowest common multiple of (-1)/(-2) + 38/4 and q.
290
Suppose i + 548 = 4*p + 1498, 3*i = -p + 2850. What is the lowest common multiple of 150 and i?
2850
Let w be (-5)/(-2)*8/10. Suppose -w*a + 9 + 2 = -5*i, 10 = 4*a + 2*i. Find the common denominator of -13/22 and (-4 + a/((-90)/(-223)))*-3.
110
Let f be ((-5)/50)/((-18)/922605). Let q = -5121 + f. Calculate the common denominator of q and 61/33.
132
Let l(y) = 64*y - 120. Let j be l(5). Calculate the smallest common multiple of 1/4 + 10/(j/4555) and 8.
456
Let r = 14598 + -14582. Calculate the smallest common multiple of r and 3352.
6704
Suppose 186*h - 221*h = -2205. Calculate the smallest common multiple of h and 348.
7308
Let s be 8/74*(-14603910)/(-120). Let v = 13158 - s. Calculate the common denominator of v and -2/7.
259
Calculate the common denominator of 56/4 + 99078/(-7224) and -19/44.
1892
Suppose 5*b = -90895 + 13730. Let h = b + 864151/56. Calculate the common denominator of h and -29/3.
168
Let s be (1407/(-14))/(2/(-8)*-11). Let j = -2604/55 - s. What is the common denominator of j and 73/8?
40
Let m(c) = 4*c**3 + 32*c**2 - 52*c - 323. Calculate the least common multiple of 316 and m(-7).
948
Suppose -n + 5*q = 4*q - 17, 2*n = -q + 19. Let j be (2*(1 + -3) + -3)*-1. Suppose 29 + j = 2*l. Calculate the least common multiple of l and n.
36
Let l be 8 + 0 - (-38 + 48). Calculate t