7*h + 55. Let i be n(-29). Calculate the smallest common multiple of (-76)/(-57) + (-20)/i and s.
24
Let n be (-172)/28 + 3/21. What is the common denominator of 131/18 and ((-16)/72)/(n*16/(-18))?
72
Suppose 0 = p - 3*a - 74 + 213, 5*a + 15 = 0. Let j = p - -194. Calculate the lowest common multiple of j and (-1)/((2 - -1)/(-12)).
92
Let q = -151/252 - 20/63. Find the common denominator of q and -11/2.
12
Let v = 18984 - 18982. Let f(h) = 26*h + 16. Let p(k) = -5*k - 3. Let w(u) = -3*f(u) - 16*p(u). What is the lowest common multiple of w(4) and v?
8
Let f be ((-2)/4)/((-1)/4). Let t be (-1268)/8 - 1/f. What is the common denominator of (t/6)/(35/(-10)) and 113/18?
126
Calculate the lowest common multiple of (-56)/3*153/(-12) and 282/47 - 2 - (6 - 3 - 5).
714
Suppose -4*l + 90 = 2*r, 4*r - 132 = 5*l - 225. Calculate the common denominator of -37/10 and (-15213)/(-9240) + 9/l.
40
Let d = -24659/95130 + -26/755. What is the common denominator of -67/585 and d?
8190
Let a = 200117/64 - 3127. Let w = 20055/22 - 912. Calculate the common denominator of a and w.
704
Let n(z) = -3*z**2 + 8*z + 76. Let v(u) = u**2 - u - 1. Let l(s) = n(s) + 6*v(s). Let j be l(0). What is the common denominator of -13/5 and -34*(-1)/(j/5)?
35
Let m be 846/270 + -1*2/15. Suppose -4*n - 8 = 2*b, 14 = b + m*n + 21. What is the lowest common multiple of b and (-1)/(-4) - 51/(-4)?
26
Let n(b) = 6*b**2 + 5*b + 45. Let i be n(16). Let x = -3421/2 + i. Calculate the common denominator of 1983/42 + 6/21 and x.
2
Let g = 1/1870 + -13949/2480555. Calculate the common denominator of g and 101/1516.
10612
Suppose 808*w = -l + 803*w + 85, 0 = l + 4*w - 92. What is the lowest common multiple of l and 1200?
1200
Let j = -61 + -29. What is the common denominator of 4/(-10) + 546/40 and ((-905)/j)/((-4)/((-12)/(-5)))?
60
Find the common denominator of -3 + (3626/3840 - 17/((-51)/6)) and -101/6.
1920
Let b = -8812 - -9028. Calculate the smallest common multiple of b and 54.
216
Let s = 16337/308 + -367/7. Suppose g - 1 = 0, 2*r - 3*g - 46 = 125. What is the common denominator of r/(-312) - (-2 - (-48)/26) and s?
88
Let r(k) = -12 + 6*k - 50 + 12. Let m(q) = q**3 - 45*q**2 - 51*q + 240. Let g be m(46). What is the lowest common multiple of 2 and r(g)?
10
Let d = -2837 + 3080. What is the lowest common multiple of d and 540?
4860
Suppose 6*k = 11*k - 115. Suppose -k*t = -42*t + 76. What is the smallest common multiple of t and 6?
12
Let n(t) = t**3 + t**2 + 3*t + 18. Let l be n(-4). Find the common denominator of ((-2)/(-32))/(l/36 - -1) and -117/10.
40
Let a = 3333 + -2715. Calculate the least common multiple of 66 and a.
6798
Let z = 1936 + 12796. Let i = z + -324013/22. Find the common denominator of 1*4/176*-218 and i.
22
Suppose -2*o - 3*o - 220 = -4*f, 2*o = -f - 101. What is the least common multiple of ((-5)/4)/(6/o) and 43 + -45 + 8 + 2?
40
Suppose 4*c + p = 411, -7*p = c - 12*p - 87. What is the smallest common multiple of 204 and c?
204
Let b be 16 + -14 - -2*(-1)/(-2). Suppose 0 = t + b*p - 5*p - 30, -3*t - 5*p = -35. Calculate the smallest common multiple of t and 82.
820
What is the least common multiple of ((-2646)/49)/(15/(-40)) and 384?
1152
Suppose 13*z - 60 = -6*z + 16. Calculate the smallest common multiple of (-57)/(-6) + (-2)/(-4) and z.
20
Let a be (-12)/3 - (-15)/3. Let p = 5 - a. Calculate the lowest common multiple of p and 4.
4
Suppose 135*i - 217972 - 125603 = 0. What is the smallest common multiple of i and 5090?
5090
Suppose 0*c = 3*c + 95211. Let s be ((-2)/(-21))/((5340/c)/5). Let q = 2/623 - s. Calculate the common denominator of q and -97/20.
60
Suppose -2*u + 5*t + 21 - 5 = 0, 0 = -u - t + 1. Suppose 30 - u = -3*v. Calculate the smallest common multiple of 12 and (-2)/v + 3*(-538)/(-27).
60
Suppose 19*m = 29*m - 30. Suppose m*w - 2*s = 114, -17*w + 3*s = -21*w + 135. Calculate the smallest common multiple of w and 10.
180
Let v = 1544 + -3124. Calculate the common denominator of 73/72 and (-4)/(-14)*6*v/25596.
1512
Let w be (-3)/(-56)*(-1347)/(-36). Let i = -1562809/32 - -48845. Let l = w - i. What is the common denominator of -155/78 and l?
546
Find the common denominator of -8/355 and ((-288)/(-63))/8 + 29175/(-54670).
7810
Find the common denominator of ((-12)/18)/(-5 - (-270)/250) and 5/47.
6909
Calculate the common denominator of 83/450 and ((-7275)/540 - -18)/(10/(-4)).
450
Suppose 5*t = 4*z + 670 - 250, 0 = 2*z. What is the least common multiple of (0/2 + -50)*(-24)/20 and t?
420
Suppose -3*c = 50 - 182. Let z = 42 - c. Let l(a) = -3*a**3 + a**2 - 1. What is the smallest common multiple of l(z) and 24?
216
Suppose -5*z + 1248 = -6*w, -4*w = -3*z + w + 746. Suppose 3*p - 148 = i, 8*i = 5*p + 5*i - z. Calculate the least common multiple of 90 and p.
720
Let s = 36358 - 34954. What is the smallest common multiple of 270 and s?
7020
Let v = 97257/57310 - 1/15630. Calculate the common denominator of -59/420 and v.
4620
Let o be (-2)/(-9) - 534897868/(-1440). Let v = 371321 - o. Let x = -999/8 - v. Calculate the common denominator of x and 23/10.
10
Let b = 41273/474353 - 49/2974. What is the common denominator of b and (-835)/50 + 1/(2/14)?
3190
Calculate the lowest common multiple of 245 and (1 - -6) + (-29848)/(-41).
735
Let d = 56 + -789/14. Let a = -30997844819/34415760 + -1/2150985. Let v = 901 + a. Calculate the common denominator of d and v.
112
Let z be ((-5)/(-15)*2)/((-3)/(-333)). Suppose 17*d - 12*d + 3*c - z = 0, -3*d + 54 = -3*c. Calculate the lowest common multiple of d and 2 + 0/((-4)/(-2)).
16
Let t be (2/16*(-1956942)/1413)/(-45). Let b be (3/(-3))/(785/11). Let p = t - b. What is the common denominator of p and -49/36?
36
Let g(y) = -y**2 - 12*y + 6. Suppose 5*w = -3*d - 45, 0 = 5*w + 3*d + d + 40. Calculate the smallest common multiple of 12 and g(w).
12
Let g = -744065 + 357151057/480. What is the common denominator of g and 69/44?
5280
Calculate the common denominator of 31/50 and ((-2)/(-10)*9)/(301 + -560).
12950
What is the lowest common multiple of 836 and (1 - (-466)/(-10))*(-160)/24?
3344
Let j = -6156 - -6258. What is the lowest common multiple of j and 30?
510
Suppose 1105*u + 1267 = 1098*u. Let f = -5209555/68 - -307167/4. Let h = f + u. What is the common denominator of -49/5 and h?
85
Find the common denominator of ((-1138)/12 - 2)*53/(-6678) and 37/8 - (-4)/(-6).
216
Let d(j) = -j**2 - 63*j - 3 - 2 + 69*j. Let o be d(4). Let l(w) = 2*w**2 - 4*w + 14. What is the least common multiple of l(o) and 16?
80
Let i = 51941/3 - 18170. Let u = -866 - i. Calculate the common denominator of u and ((-9)/22)/((-3)/(-18)).
33
Suppose -4*j + 151 - 451 = -5*a, -a + 60 = -4*j. Calculate the smallest common multiple of 945 and a.
3780
Suppose 1223 = 3*w - s, -w + s = -0*w - 407. What is the smallest common multiple of 24 and w?
408
Let h = -60/3451 - 237281/445179. Calculate the common denominator of ((-224)/12 - -1) + (15 - 13) and h.
129
Suppose 4*x = 2*b - 1812, b - 57*x + 53*x - 892 = 0. What is the lowest common multiple of b and 32?
3680
Suppose -61*l + 354 = 86*l - 234. Calculate the lowest common multiple of l and -300*(-1)/(4 + -2).
300
Let i(k) = 18*k**2 + 53*k + 1. Let x be i(7). What is the common denominator of 101/28 and (2 - 10/8) + x/968?
308
Let i(z) = 231*z - 3696. What is the least common multiple of 220 and i(18)?
4620
Let k be (-10 - -14) + 2 + (-240288)/53595. Let g = 11/397 - k. Find the common denominator of -58/15 and g.
45
Suppose 19 = -5*g + 2*u - 83, -3*g - 61 = -u. Calculate the common denominator of -67/42 and 170/24 - -10*4/g.
84
What is the least common multiple of 42 and 288/20*1650/20?
8316
What is the lowest common multiple of 2/3*(43 + -40) and ((-12)/(-42))/(3/3066)?
292
Suppose -3*c - o + 171 = -7*c, 9 = 3*o. What is the lowest common multiple of (c/(-9))/((0 - -3)/45) and 14?
70
Let y(k) = k**2 - 20*k + 48. Let a(j) = -j + 3. Let d(o) = 4*a(o) + y(o). What is the smallest common multiple of 84 and d(0)?
420
Let q(m) = 329*m**2 - 6*m + 1. Let i be q(1). Suppose -4*n - o - 3*o = -i, o + 309 = 4*n. What is the lowest common multiple of n and 3?
78
Let s = -4039/55 + 773/10. Let g = -433 - -439. What is the common denominator of 474/(-40)*g/18 and s?
220
Let m = 4716 + -37669/8. Let i = 608 - 3049/