Let i(f) = 4*f - 44. Let o be i(15). Let x(p) = 3*p**3 - 50*p**2 + 39*p + 12. Calculate the lowest common multiple of x(o) and 10.
620
Let u be 4512/(-10)*(-3 + 55/15). Let i be ((-33)/60)/(((-20)/(-2216))/(-5)). Let c = u + i. What is the common denominator of 40 and c?
10
Let r = -5888 + 5979. What is the smallest common multiple of 286 and r?
2002
Suppose 29*d - 3621 = 2846. Let r = 376 - d. What is the smallest common multiple of 18 and r?
306
Let j = 109 - 184. Calculate the lowest common multiple of 44 and -6 + 15/(j/(-230)).
440
Let p be ((-140)/30)/(4/(-30)*1). Suppose -p = 42*h - 35*h. What is the least common multiple of -1 + 0 + (-6)/10*h and 14?
14
Let d be (2 + -3)*5 + 8. Let t(m) = -d*m + 2*m - 6*m + 6*m + 12. Calculate the smallest common multiple of 166 and t(8).
332
Let z be (-7 - (-1 + -8)) + -18. Find the common denominator of (73/z)/(-63 - -58) and -29/28.
560
Let b = 13971 - 167707/12. What is the common denominator of b and 1/868?
2604
Let q be 1/3*18/3. Let m(g) = g**3 - 9*g**2 - 22*g + 3. Let r be m(11). Suppose r*t - q*t = 18. What is the lowest common multiple of 18 and t?
18
Let s be 32250/6875 + 1*1/(-1). Let j = -133/11 + s. Find the common denominator of j and -58/3.
15
Let p be (1476/(-477))/2 - 6/(-4). Let h = -344/1113 - p. Find the common denominator of h and 19/3.
42
Let f = -107 - -114. Calculate the common denominator of ((-155)/(-40) - f)*(-4)/(-1) and -2 - (-1844)/864*1.
216
Suppose -4*y = 5*w - 9*y + 7420, 0 = -3*y + 6. Calculate the lowest common multiple of 2/4*w/(-13) and 24.
456
Suppose p - 11 = 2*b, -3*b - 2 = 3*p + 19. What is the common denominator of (-534)/(-56) - b/(-21) and (5 + -88)*(-25)/(-250)?
20
Let t be (-21)/14*(-4)/(-3). Calculate the common denominator of t - 28/18*-12 and -38/15.
15
Let d = 0 + 2. Suppose -3*y = -m - d - 10, -3*m - 12 = -3*y. Suppose -l = 3*x - 21, -22 = -4*l + y*x + 94. Calculate the smallest common multiple of 9 and l.
27
What is the smallest common multiple of 150 and ((-1016)/(-6))/((-415)/(-1245))?
38100
Let w = 6067/1660 - 117/166. Find the common denominator of w and -5/11402.
114020
Let x be (-2)/3*3 + 1. Let r(a) be the first derivative of -a**2 + 2*a - 939. Calculate the lowest common multiple of 10 and r(x).
20
Let q = -16508 + 18343. Calculate the lowest common multiple of 2569 and q.
12845
Let y(m) = -101*m - 368. Let x(k) = -68*k - 245. Let v(w) = -7*x(w) + 5*y(w). Calculate the least common multiple of 22 and v(-11).
2134
Let g = -587 + -63. Let b = -618 - g. What is the smallest common multiple of b and 14?
224
Let i(g) = -g + 12. Let l be i(-5). Suppose -163 - l = -6*b. Let f = 56 - 38. What is the smallest common multiple of b and f?
90
Suppose 0 = -47*g + 17209 + 799 + 2296. What is the lowest common multiple of g and 96?
864
Let g = -151783/10974 - 4/1829. Calculate the common denominator of ((-26)/(-35) + 0)*-5 and g.
42
Let v = -9484229/903 - -63019/6. Find the common denominator of 19/3 and v.
1806
Let d = -8554 - -2976847/348. Calculate the common denominator of -40/87 and d.
348
Let f = -789 + 776. Calculate the smallest common multiple of (1 - -2) + (56 - f) and 90.
360
Let i = -11 - -100/9. Calculate the common denominator of i and 4 + 2 - 0 - 461720/79968.
252
Suppose -4*s = -8, -5*s = -4*f + 44 + 86. Find the common denominator of f and 30/7.
7
What is the common denominator of 47/343 and (65312/(-637))/(-8) - 12?
343
Let p be 11/(55/15)*11. Suppose -p*a - 192 = -57*a. What is the smallest common multiple of a and 42?
168
What is the least common multiple of 3321 and (-14766)/(-4) - ((-295)/(-413) + 11/14)?
33210
Suppose 3*b - 225 = -0*b. Calculate the smallest common multiple of b and (213/(-33) + 1)/(168/(-924)).
150
Let q = 20270 - 20200. What is the lowest common multiple of q and 21?
210
Suppose -93 = -5*w + 3*c, 5*w - 2*c + 18 = 115. Calculate the lowest common multiple of w and 681.
4767
Calculate the least common multiple of 60 and 7050/20 + 9/6.
3540
Let r = -828095/24 - -34509. Calculate the common denominator of 95/1728 and r.
1728
Let a be (-11)/(-55) + (-48)/15. Find the common denominator of 21/4 and ((-2)/(432/963))/((-13)/a).
104
Find the common denominator of (-9)/(-40)*252588/4743 + (-4)/(-34) and -76/711.
7110
Suppose 4*p - 2*k = -50 + 322, 5*p = -3*k + 318. Let c = -138 + 208. Let n = c - p. Calculate the lowest common multiple of n and 15.
60
Find the common denominator of 4/(-56)*((-6)/(-24) + (-1090)/3555) and 23/1264.
11376
Let i = 1161289458 - 8016381106277/6903. Let k = -6/767 + i. Find the common denominator of (-38)/16 + (-42)/(48/8) and k.
72
Let m = 23 - 39. Let z = m + 18. Suppose 7*o - z*o - 50 = 0. Calculate the lowest common multiple of 18 and o.
90
Let t = -485 + 489. Suppose t*y - 955 = -943. Let s = 4 - -2. What is the smallest common multiple of s and y?
6
Let z = -76583/79648 + -18/2489. What is the common denominator of ((-4)/6)/(160/135) and z?
32
Suppose 2*b - 14 = 2*z + 6*b, -4*z - 8 = 4*b. Suppose -1 = 2*i - 3*w, z*i = -2*i - 2*w + 45. What is the least common multiple of 1 and i?
7
Find the common denominator of (-50)/103500*23*1*-62 and -181/330.
990
Suppose -5*v - 664 = 5*a + 321, 391 = -2*a - 5*v. Let f = -27 - -19. Find the common denominator of f and a/140 + (-4)/14.
10
Let v = 103781/22 - 4716. Let n be (-1)/3*108/(-12). Suppose -s - 28 = -2*l - n*s, -8 = -4*s. Calculate the common denominator of v and l.
22
Let y be 3/7 - 3/7. Suppose y = 5*m + 10, -4*r + 52 = -2*m + 6*m. Let c(t) = -t**3 + 22*t**2 + 4*t - 64. What is the least common multiple of c(22) and r?
120
Suppose 88 = 8*k + 3*k. Let n(d) = d**2 - 20*d + 33. Calculate the smallest common multiple of k and n(19).
56
Let z = -32 + 72. Let t = -1 - -13. Suppose -3*i - i + t = 0, 3*i - 93 = -3*j. What is the lowest common multiple of j and z?
280
Let b(y) = -50*y - 20. Let w(s) = 17*s + 7. Let x(d) = 4*b(d) + 11*w(d). Suppose 4*n - 16 - 216 = 0. What is the lowest common multiple of n and x(-1)?
290
What is the common denominator of -101/16 and 1385/(-3520) - 0 - (-17)/51?
2112
Let u(l) = 15*l**2 + l. Suppose 0 = -0*f - 14*f - 3920. Let k = -204 - f. Calculate the lowest common multiple of u(-1) and k.
532
Calculate the smallest common multiple of 1065 and ((-30)/35)/(3/(-20)*28/882).
12780
Let d be ((-8)/5)/(32/400). Find the common denominator of 1 - -12*4/(-10) and (-32)/6 + (d - (2 - 24)).
15
Calculate the smallest common multiple of 10080/36 + -1*7 - -11 and 28.
1988
Suppose 4*w + 2*f + 98 = 0, -6*w - 2*f - 121 = -w. Let d = -36 - w. Let p(y) = -y**2 - 16*y - 9. Calculate the lowest common multiple of 30 and p(d).
30
Suppose -2*d = -6*d + 2*o - 4, -4*d - o = -2. Let s = -2995 + 15026/5. What is the common denominator of ((-2322)/20)/9 + 2 + d and s?
10
Suppose 36*g = 136*g - 2700. What is the least common multiple of 72 and g?
216
Suppose -2*p + 7*p = 2*w - 153, -5*w + 4*p = -340. Suppose 5824 = 27*a + 77*a. Calculate the least common multiple of a and w.
448
Let j = -10147 + 172553/17. Let b be 174/(-10) - 2 - 0. Let h = b - -113/5. What is the common denominator of h and j?
85
Let z = 15364883/90 + -170719. What is the common denominator of -74/459 and z?
4590
Let r = 1259/7 + -15563/84. Calculate the common denominator of ((-282)/(-21) + -3)/((-660)/462) and r.
60
Let k(u) = u**2 - 5*u + 19. Let v be k(5). Suppose v*f - 18*f + 852 = 0. Let j = -5143/6 - f. Calculate the common denominator of j and -67/36.
36
Suppose 136*w = 2*w + 28524 + 102126. What is the lowest common multiple of 39 and w?
975
Let h = 242052 - 252460267/1043. What is the common denominator of h and -23/1639?
11473
Let k = 45/83 - -98673/332. Let j = -295 + k. Find the common denominator of j and 57/44.
44
Suppose -u = 3*z - 7, -2*u + 0*u = 4. Suppose 2*y = 20*y - 36. Calculate the least common multiple of z and y.
6
Let a = -527673307/15 + 35163511. Let t = -14680 - a. Let x = 493/10 - t. What is the common denominator of x and -83/42?
42
Let g(f) = -f**3 - 6*f**2 - 4*f. Let q be g(-5). Calculate the common denominator of (-3)/q*(-2 - -70)/(-4) and 64/159.
795
Let g(c) = -5*c**3 + 7*c**2 - 6*c + 1. Let b be g(4). Let a = -29251/12 + 2429. What is the common denominator of (-6)/21 - (-347)/b and a?
132
Suppose -15*g = 13*g - 140. Suppose 11 = -3*d - g*m