ate the smallest common multiple of p and 3*12/6*3/2.
63
Let c(w) = w**3 - 5*w**2 + 6*w - 8. Let b be c(4). Suppose b = -n - 3*n - 16. What is the common denominator of ((-994)/36)/(-7)*(n + 2) and -80/33?
99
Let n = -462 + 548. Suppose 0 = -4*m - 5*w + 182, -n = -9*m + 7*m - 5*w. Calculate the smallest common multiple of m and 8.
48
Let v(k) = 22*k - 20. Let m be v(-4). Let g = 118 + m. Suppose 2*z = o + 9, -2 = o - 3. Calculate the smallest common multiple of g and z.
10
What is the common denominator of -87/280 and (-6)/10*(10 + (-13247)/1274)?
1960
Find the common denominator of (-3 - -2)*176/30 and (-618)/30*5/(-24).
120
Let n = -24173 + 25385. Calculate the least common multiple of 2020 and n.
6060
Find the common denominator of (-14690)/(-3710) + 1 + 0 + -5 and -24/77.
4081
Let d(u) = -11 + 76*u - 31*u + u**2 - 43*u. Calculate the lowest common multiple of 2 and d(-5).
4
Let u(c) = -c**2 - c - 7. Suppose 10*j + 374 = 8*j - 3*f, 740 = -4*j - 4*f. What is the common denominator of u(-7) and (-1 - j/28) + 70/245?
4
Let n = 4330 + -3854. Calculate the lowest common multiple of 204 and n.
1428
Suppose -w + 0*u + 2*u + 17 = 0, 5*w - 61 = 2*u. Find the common denominator of ((-77)/3)/w*(-42)/(-4) and -139/114.
114
Let f = -199018169/408 + 487790. What is the common denominator of f and 139/102?
408
Suppose 3*c - 1365 - 951 = -5*n, 771 = c + 2*n. Calculate the lowest common multiple of 6/(-16) - (c/(-24) + 2) and 60.
60
What is the smallest common multiple of 18 and (-108925)/(-75) - (-8)/3?
8730
Find the common denominator of (118/(-489))/((-212)/(-159)) and -41/54.
8802
Suppose 0 = 2*x - 6*r + 2*r - 10, -x = 2*r - 1. Suppose 2*n = -m + 45 - 30, 2*n + x*m = 9. What is the smallest common multiple of n and 23?
207
Let t = -3/495436 + 39638039/521694108. What is the common denominator of -95/162 and t?
2106
Suppose -2*n + 80 = 5*c, 4*c - 74 = 47*n - 49*n. What is the least common multiple of 7275 and n?
7275
Suppose -70*l = 4*l - 2072. Let z = -59 - -91. Calculate the lowest common multiple of l and z.
224
Suppose -5474 = 5*u + 2*c, -4*c = 11*u - 9*u + 2196. Let d = -13121/12 - u. Let m = -7466/2691 + -1/299. Find the common denominator of d and m.
36
Let t = -9397 - -9571. Calculate the least common multiple of 609 and t.
1218
Let g be (-80)/(-24)*24/5. What is the common denominator of -63/22 and 54/44 - (g - 12)?
22
Suppose 3*q - 6 = 2*u - q, 3*q - 6 = 3*u. Let n be -3 + (u - -4) + -3. Find the common denominator of 57/2 and (n/(-30))/(4 + 650/(-165)).
20
Let y = -104 + 207. Suppose 9*k = -y + 589. Calculate the least common multiple of k and 60.
540
Let g(c) = 9*c**3 - c**2 - 26*c + 56. What is the least common multiple of 3656 and g(2)?
32904
Let i = 166 - 96. Calculate the smallest common multiple of i and (2/3)/(7/231).
770
Calculate the common denominator of 1 - (-3 + -2 - (-11)/((-726)/(-249))) and 93/886.
9746
Let p be (-2 - 0)/((-1)/15*-5). Let n be p/(-2 - 1)*3/5178. Let v = n + -26775/18986. Calculate the common denominator of v and 61/68.
748
Let k(y) be the first derivative of -2*y**3/3 + y**2 - 4*y - 19. Let u be k(5). Calculate the common denominator of 1466/(-198) + 2 + 80/u and -51/5.
45
Let n = 15337205/16 - 958163. Let r = -412 + n. Let s = -103361/14 + 7386. What is the common denominator of s and r?
112
Suppose 2*x - 2*c = 64, 2*c - 93 + 17 = -3*x. Suppose -x*o + 21*o - 42 = 0. What is the lowest common multiple of ((-36)/10)/(o/(-30)*-2) and 10?
90
Let b(z) = -2*z**3 + z**2 - 3*z + 4. Let v be 67/13 - (-48)/(-312). Suppose -3*j = 2*t - 44, -v*t + 5 = -0. Calculate the least common multiple of j and b(-3).
532
Let f = -150 - -154. Suppose -f*s + 6*j = j - 16, 3*s - 4*j - 12 = 0. Calculate the smallest common multiple of s and 5.
20
Let p be 484/1515 - (-44)/(-132). Let m = 4307/17170 - p. Calculate the common denominator of m and -55/16.
272
Calculate the common denominator of (5/3890)/((-22)/(-2024)) and 58/3.
1167
Let c = -3208 - -4566. What is the lowest common multiple of c and 35?
6790
Let r = 21706 - 434219/20. What is the common denominator of 173/270 and r?
540
Let f = 148 - 144. Let k(s) = s**3 + 168. Calculate the lowest common multiple of k(0) and (-148)/(-185)*90/f.
504
Suppose -6452 = -4*a + 2*r, -372*r + 367*r = 20. Calculate the lowest common multiple of 3 and a.
1611
Let n be (-2)/(-16) - (-17043)/(-152). Calculate the common denominator of 95/18 and -8*4/n - (-139)/1302.
558
Let v be 0 + 1 - (3 - 4). Let h(l) = 12*l - 12. What is the smallest common multiple of h(2) and (-1)/(v/(-4)) + 4?
12
Let p be -3 - -1 - (-20)/4. What is the common denominator of (-286)/1254 + 2*p/(-6) and -95/12?
228
Let a = -142 + 142. Calculate the common denominator of (a + 6)/(192/(-372)) and 109/90.
360
What is the common denominator of (-112)/448 - (-1799)/6856 and -33/20?
34280
Let w = -13960607/240 - -58169. What is the common denominator of w and 7/240?
240
Let f = 91/4 + -185/12. Let v be (1491/(-30) + -2)*-2. Let p = -1643/20 + v. What is the common denominator of f and p?
12
Let v = -2175 - -2189. Calculate the smallest common multiple of v and 2450.
2450
Calculate the smallest common multiple of (-372)/(-31)*(201/2 + 12/8) and 27.
3672
Let y(i) = -i**2 + 23*i + 38. Let k(a) = -a**3 + 6*a**2 + 24. Let c be k(6). Let p be y(c). Find the common denominator of -39 and (-2928)/(-448) + (-4)/p.
4
Let h = 12 + 13. Let j = 6355 + -6305. Calculate the smallest common multiple of h and j.
50
Suppose -c + 1 = -4*r - 4*c, -4*c = 12. Let w = 4846839/32 + -151465. What is the common denominator of 0 - r*(-113)/(-24) and w?
96
Let d = 1737/98395 + -83865740803/2361480. Let i = d - -35509. What is the common denominator of i and -95/22?
264
Suppose -22*k + 24*k = 2*f + 142, f + 56 = -4*k. Let z = -65 - f. What is the lowest common multiple of z and 5?
15
Let t(a) = -7*a + 113. What is the least common multiple of t(-1) and 21?
840
Let j = 108 + -60. Suppose j = -18*w + 19*w. What is the common denominator of -9/16 and 1854/w*4/42?
112
Calculate the least common multiple of 8 and (27/(-12) - -3)/(19/608).
24
Find the common denominator of ((-321)/(-18))/(7 - (18 + -10)) and -3/23.
138
Let h = -176/65 - -2194/455. Find the common denominator of h and 7/1445.
10115
Suppose 0 = s - 14 + 1. Suppose -14*l + s*l = -18. What is the smallest common multiple of 87 and l?
522
Suppose -14*f - z = -18*f - 43, 3*z + 21 = -3*f. Calculate the common denominator of -65/18 and 46/6*f/36.
54
Suppose 364 = 4*r - 21*d + 17*d, -4*r + 336 = 3*d. What is the smallest common multiple of (-12)/((-4)/(-1)) - -12 and r?
261
Suppose -3*o = 3*k - 2*o + 11, -2*k = -5*o - 21. Let l be k/(8/(-1 - -5)). What is the common denominator of 75/8 and (-40 - -3)*((-30)/33 - l)?
88
Suppose 0 = 2*z - 120 + 112. Calculate the lowest common multiple of (6 - 0/(-5))/(3/2) and z.
4
Suppose 2944*r = 2963*r - 228. What is the lowest common multiple of 5804 and r?
17412
Suppose -2*j = d, -6*j = -447*d + 446*d + 40. Calculate the lowest common multiple of d and 912.
4560
Suppose -3*z - 14 = -0*j - 2*j, 5*j - 16 = -2*z. What is the smallest common multiple of j and (4 - 104/24) + (-56)/(-6)?
36
Let w = -72/269 + 46129/22596. Find the common denominator of ((-1)/(-6))/((-56)/(-436)) and w.
84
Let d(i) = -4*i**2 - 202*i + 39. What is the least common multiple of 27 and d(-18)?
21411
Let t = 5161399/187 + -27601. Calculate the common denominator of -23/110 and t.
1870
Let d = -221 - 319. Let n = 870 + d. Calculate the smallest common multiple of 33 and n.
330
Let d(n) = 5*n**2 + 31*n + 60. Let h = -20 - -28. Let c = h + 14. What is the least common multiple of c and d(-4)?
176
Let w = -2009 - -2030. Let k(t) = -t**2 + 5*t - 4. What is the lowest common multiple of w and k(3)?
42
Let k be ((8/3)/4)/(2/(-1779)). Let t = -29649/50 - k. Let j = -3/49 + 991/980. Calculate the common denominator of t and j.
100
Let u = 15 - 23. Let i(k) = 2*k**3 - 4*k**2 + 2*k + 2. Let m be i(2). What is the least common multiple of (u + m)/((-4)/20) and 9?
90
Suppose 5*u + 15 = 0, -2*s + 5*u + 12 = 9*u. Suppose -s*p + 276 = 11*p. Calculate the least common multiple of 4 and p.
12
Let q = -1/1742 + 111497/15678. Let g = q - -4/9. Calculate the common denominator of -2 + (-71)/12 - 20/12 and g.
36
Let v(o) 