.
200
Let j(x) = x**2 + x + 16. Let r = -12 - -15. Let z be (3 - 4) + 3/r. What is the smallest common multiple of 6 and j(z)?
48
Suppose -18*l + 6*l - 1944 = 0. Calculate the common denominator of -71/108 and (-5 - -5) + l/(-104).
1404
Let h = 376 - 349. What is the common denominator of 91/288 - (7 + (-183)/h) and 71/8?
32
Let r = 43/33 + -54071/41547. Let j be 0 - (1 + 51543/(-47842)). Let s = j + r. What is the common denominator of s and -111/10?
190
Let x(l) = l**2 - 16*l - 5. Let u = 99 + -88. Let s be -2 + 0 + 209/u. Calculate the lowest common multiple of x(s) and 12.
12
Let t(q) = 2*q + 48. What is the least common multiple of t(9) and 774?
8514
Suppose -252*f + 64*f = -22560. What is the smallest common multiple of f and 180?
360
Let v(b) = b**3 + 7*b**2 - 124*b - 400. Calculate the lowest common multiple of v(-3) and 2050.
8200
Let q = 68 - 48. Let g = 11534 - 11508. What is the smallest common multiple of q and g?
260
Suppose 6*v - 151 + 121 = 0. Suppose 5*u = 2*w + u - 48, 98 = v*w + u. What is the smallest common multiple of 10 and w?
20
Let n = 340 + -338. Suppose h + 355 = 4*b, -4*b + n*h + 375 = 5*h. What is the smallest common multiple of 3 and b?
90
Let y(p) = 59*p + 2299. Calculate the smallest common multiple of y(-26) and 680.
6120
Let q = -17751/11 - -1612. Let x = -45135/4 - -11306. What is the common denominator of x and q?
44
Let y = 570583/214880 - -6/6715. What is the common denominator of y and -79/4104?
16416
Let z = 7697189/10 - 768940. Let g = 785 - z. Calculate the common denominator of g and ((-2739)/(-6))/11*2/4.
20
Let m(k) = -k**3 - 3*k**2 + k + 72. Let n be m(0). Find the common denominator of 46/17 and 1178/36 - 16/n.
34
Let a(w) = -541*w**2 - 8*w + 8. Let d be a(1). Let z = -521 - d. Calculate the lowest common multiple of z and 14.
140
Let x(o) = o**2 + 3233*o + 38700. Let f = -38 - -104. What is the smallest common multiple of f and x(-12)?
528
Let o = -56 + 124. Let x = -45855 - -45887. Calculate the least common multiple of x and o.
544
Suppose 5*t = 187*h - 188*h + 36, 5*t + 4*h - 54 = 0. Calculate the smallest common multiple of t and 11985.
23970
Let n be (-16 + 326)*(4 - -1). Suppose -2*q + 4*x = 636, -5*q + n = -10*q + 2*x. What is the common denominator of ((12/16)/3)/((-40)/q) and -63/40?
40
Suppose 38*s - 3264 = 34*s - 5*c, -2*s + 3*c = -1610. Calculate the smallest common multiple of s and 10.
8110
Let c(r) = -r**3 + 36*r**2 - 158*r - 60. Calculate the lowest common multiple of 550 and c(30).
6600
Suppose -17*j - 16*j - 154308 = 0. Let p = 388085/83 + j. What is the common denominator of p and -44?
83
Let h = -15732/13039 + 1/1534. Calculate the common denominator of h and -13/368.
6256
Let t = -283 - -286. Suppose -h + 9 = -s + 2*s, s - h = t. What is the least common multiple of s and 12?
12
Suppose -4*k = -2*j - 10, 5*k + j - 4*j - 12 = 0. Suppose -b = 5*w - 36, -k*w + 28 = 6*b - 7*b. Calculate the smallest common multiple of 179 and w.
1432
Let v = 106847/1253106 + -55/774. Find the common denominator of 27/5 and v.
8095
Let a = -1/375060 + 2840329393/4875780. Let u = a - 583. Find the common denominator of (-1)/(2/(-8)) - 1251/(-1529) and u.
143
Find the common denominator of 35/6 and (11/(-44))/(4059/1681).
396
Let k = 3433/40 + -715/8. Let s = 108 - 76. Calculate the common denominator of (-4)/s*1788/9 and k.
60
Let y = 17788 - 17532. Calculate the lowest common multiple of 68 and y.
4352
Let h be (-84)/(-126)*903697/(-24). Let b = h - -25099. What is the common denominator of 61/66 and b?
396
Let t = 65299 + -487326439/7463. Let q = t - 1082111/89556. Calculate the common denominator of 67/84 and q.
84
Let s(l) = -75*l + 37*l - 7 + 61 - 59*l + 31. What is the smallest common multiple of s(-4) and 4?
1892
Let a(f) = 68*f + 1590. Calculate the least common multiple of 66 and a(-23).
858
Calculate the common denominator of 2/(-5) - 36/11340*-726 and -11/2100.
2100
Suppose 68*v = -s + 63*v + 1090, -4*s - 5*v + 4405 = 0. Calculate the least common multiple of s and 68.
4420
Let x be (-29998)/6440 - (-75 - -75). Let g = -114/161 - x. What is the common denominator of g and ((-6)/16)/((-162)/(-3288))?
180
Let x = 2538937/228232 + 18/28529. What is the common denominator of (20/(-26))/(8/(-22)) and x?
104
What is the common denominator of 195/(-20)*20/(-6) and 83/36 + 7 + (-59)/9?
4
Let u = -577414 - -37531059/65. Let x = -48/13 - u. Calculate the common denominator of x and 109/54.
270
Let u(p) = -6*p - 1. Let v be u(-4). Suppose -2*f = -v - 1. Calculate the least common multiple of f and (4 - (-8)/12)/(2/6).
84
Let o be ((-618)/2781)/(-1*(-4)/(-294)). Let v = o - 589/36. What is the common denominator of v and -79/33?
396
Let v be ((-26)/9)/(240/36). Let s = 1627/3270 + v. Calculate the common denominator of s and -29/10.
1090
What is the common denominator of 4/18 - (-229)/792 and (-158885)/(-48774)*6/40?
88
Let l = -4766 + 4812. What is the least common multiple of 14 and l?
322
Suppose 49*f + 2694 = -7*f + 28118. Calculate the lowest common multiple of f and 454.
454
Let b = -181756 - -295171843/1624. Calculate the common denominator of -21/232 and b.
1624
Let x = -16814/205 - -404/5. Find the common denominator of -4 - 15/(-3) - ((-5)/25 - 4) and x.
205
Let g be (-163)/4*(-9 + (-10)/(-2)). Let p = g - 107. Calculate the smallest common multiple of 28 and p.
56
Let q(r) = -218*r - 734. What is the least common multiple of 144 and q(-4)?
3312
Suppose -3*v + 1 = -5. Suppose 5*d = -5*u + 75, 3*u + 20 = v*d + 7*u. What is the smallest common multiple of (-6)/(-33) - (-480)/22 and d?
220
Suppose -10*x - 2*f = -7*x - 34, 2*x - 12 = 4*f. What is the smallest common multiple of x and 392?
1960
What is the common denominator of ((1239/15)/(-7) - (-1)/(-2))/36 and 97/462?
9240
Let h be ((-35)/(-341215))/(2/4). Let y = 926163/38996 - h. Find the common denominator of 61/72 and y.
72
Let w = 48 - 24. Let b(y) = -189*y + 4017. Calculate the least common multiple of b(21) and w.
48
Suppose 90 = 20*f - 10*f. Suppose -f*v + 7 = -8*v - 4*k, -3*k = -3*v + 21. What is the smallest common multiple of 2 and v?
14
Let c = -18535 + 19012. What is the lowest common multiple of c and 81?
4293
Calculate the smallest common multiple of 17 and 64/(-8)*(-59 - (10 + -16)).
7208
Let m = -1961/20826 - -8/89. Let p = m + -1696/117. Let x = 1904 + -3895/2. What is the common denominator of x and p?
2
Suppose -1 = 2*x - 5. Let m(y) = 6*y + 289. Let v be m(-42). Suppose -3*u = -x*t - 73, 0*u + 2*u = -t + v. Calculate the lowest common multiple of 30 and u.
210
Find the common denominator of -31/154 and (((-322)/(-105))/23)/((-1400)/615).
7700
Let p be 27*(28/12)/(-7). Let k(g) = g**2 + 5*g + 24. Calculate the smallest common multiple of 8 and k(p).
120
Suppose 43 = 8*y + 27. Find the common denominator of -53/124 and (y/24)/(80/(-1980)).
496
Let a = 5722 + -5714. Let s be (170/15)/((-2)/(-3)). Suppose -2*f + 1 + s = 0. Calculate the smallest common multiple of a and f.
72
Let c = 19294115/234 - 82454. What is the common denominator of c and -76/351?
702
Let n(v) = -139467*v**2 - 4*v + 8. Let p be n(8). Let y = p - -195888229/22. Let u = -21898 - y. Calculate the common denominator of u and -7/8.
88
Suppose -34*l - 5 = -5. Suppose -24*n + 3*z - 147 = -28*n, -n + 5*z + 31 = l. What is the smallest common multiple of (-1)/(34/36 - 1) and n?
36
Calculate the least common multiple of 195 and ((-1176)/105)/(-14) + (-2006)/(-5).
26130
Suppose 6*b + 280 = 5*g + b, -5*b = -3*g + 170. Suppose -50*t - 135 = -g*t. What is the smallest common multiple of t and 12?
108
Let w = 107 - -35. Find the common denominator of -1 - (w/30 - 4) and -3 - (148/(-44) + 1).
165
Suppose 0 = -7*b + 642 + 142. Let m be 2 - (-2)/(b/(-147828)). Let z = -2632 - m. Calculate the common denominator of z and 47/76.
532
Suppose 0 = -671*q + 654*q + 204. Calculate the lowest common multiple of q and 816.
816
Let r(h) = 38*h**2 - 114*h + 22. What is the smallest common multiple of r(-4) and 7?
7602
Let r = -55 + 111. Let v = r + -44. Let o(z) = -z**3 - 18*z**2 + 17*z - 20. What is the lowest common multiple of o(-19) and v?
36
What is the common denominator of -296*8/(-128)*2/16 and -115/12?
48
Let m(x) = 35*x**3 + x**2 - 1. Let l be m(1). Suppose -3*i + 7