i = v - -607. Calculate the common denominator of i and 73/((0 - -1)*-3).
3
Suppose -3*r + 390 = d, -35*d + 38*d - 1170 = r. What is the least common multiple of d and 660?
8580
Let v(c) = c**2 + 4*c + 5. Let f be v(0). Suppose 4*a - 97 = -5*u, f*a - 3*u - 111 = u. Calculate the least common multiple of 10 and a.
230
Let g = -127 + 121. Find the common denominator of (g/(-8))/(6/(-28)) and -79/48.
48
Let z(l) = l**2 - 23*l. Let t be z(23). Suppose 0 = 6*w - 850 - 650. Suppose b - 6*b + w = t. Calculate the least common multiple of 14 and b.
350
Suppose 102*i + 14 = 95*i. What is the least common multiple of (i + (-54)/(-12))*4 and 98?
490
Let r = 2/13881 - -342392/41643. Find the common denominator of r and (-312)/2340*(-10)/(-9)*174/(-4).
9
Suppose 3*r = -2*r + 105. Suppose -2*v - 5 = -3*m - v, 3*v = 3*m + 3. What is the lowest common multiple of m and r?
21
Suppose 11*p + 14 = 9*p - 4*o, -p - o = 2. Find the common denominator of (155/(-100))/(p/(45/2)) and 99/40.
40
Calculate the smallest common multiple of 2/(-8) + 13601/12 - (-385)/(-2310) and 103.
1133
Let z(i) = i**3 - 15*i**2 + 21*i - 48. Let r be z(14). Let q = 77 - r. What is the lowest common multiple of q and 51?
459
Let p = 1766/238735 + 13/359. Find the common denominator of p and 179/210.
3990
Let m(v) = 146*v + 324. What is the least common multiple of m(-2) and 264?
1056
Let p(v) = v**3 + 10*v**2 + 5*v - 2. Let s be p(-8). What is the common denominator of (s - -1)*(5/(-2))/5 and 69/8?
8
Suppose -5*d = n - 123, -n - 42 + 140 = 4*d. Let l = -140 - -185. What is the smallest common multiple of l and d?
225
Suppose 3*a = 149*l - 147*l - 5398, -2*l = -4*a - 5404. Calculate the smallest common multiple of l and 45.
24210
Let r(f) = 90 - 10*f - 39 + 18. What is the lowest common multiple of 12 and r(0)?
276
Suppose -2*s + 4*v = v + 1146, v = 4. Let p = s - -15875/28. Calculate the common denominator of p and 59/172.
1204
Let u(d) = -d**2 + 7*d + 4. Let h(q) = q**3 + 2*q**2 - 8*q + 40. Calculate the smallest common multiple of u(6) and h(-5).
10
Suppose -24*d + 36 = -27*d. Let i be (-9)/d*(-3238)/(-6) - -3. Let o = i - 415. Calculate the common denominator of -99/20 and o.
20
Let u be ((-20)/(-12) + -4)/((-4)/24). What is the lowest common multiple of u*(3 + (-76)/28) and 6?
12
Let j(q) = -q**2 - q + 30. Let i = 98 + -76. Let f = 17 - i. Calculate the smallest common multiple of 10 and j(f).
10
What is the common denominator of -9/100 and (5/1350)/(44/(-6006))?
900
Let i(z) = 1121*z + 10110. Let c(g) = -20*g - 2. What is the lowest common multiple of i(-9) and c(-7)?
966
Let d(u) = 89*u + 1156. Calculate the smallest common multiple of 316 and d(-5).
2844
Suppose -2*g - 5*y + 1570 = 0, -5*g = -4*g + 4*y - 794. What is the smallest common multiple of g and 462?
2310
Suppose -11735 + 8459 = -21*d. Calculate the lowest common multiple of 74 and d.
5772
Let s(r) = r**2 - 6*r + 1295. Calculate the least common multiple of 80 and s(45).
24400
Let k = -1835 + 434. What is the smallest common multiple of 14 and 9/27 + k/(-9) - 2?
154
Find the common denominator of -48/5 and (-84558)/14220 - 4*9/(-6).
2370
Let a = 233/150 + -101239/64950. Calculate the common denominator of a and 20/81.
35073
Calculate the lowest common multiple of 220 and 1978/5 - ((-9)/15)/((-3)/(-2)).
1980
Let s(h) = -3059*h**3 + 3058*h**3 - 19*h**2 + 9*h + 2 + 9*h**2 + 6*h**2. Let j = 9 - 15. Calculate the lowest common multiple of 20 and s(j).
20
Let l = 1261 - 616. Calculate the least common multiple of 215 and l.
645
Let g = 11658/59 - -964145/354. Let d = -2946 + g. What is the common denominator of -59/18 and d?
18
Suppose 3513 + 2535 = 4*h. Find the common denominator of -103/54 and ((-1328)/h)/((-8)/(-6)).
378
Let n = -10331/6 + 1733. Let o = -23 - -39. Find the common denominator of o/(-32) + -4*50/12 and n.
6
Suppose -55 + 335 = -14*s. Suppose 0 = 2*q + 2 - 4. Calculate the least common multiple of q and 7/((-28)/s) - (-20 - -16).
9
Let w = 14229 + -13987. What is the lowest common multiple of 88 and w?
968
Let j(a) = 2*a**2 + 4*a + 1159. What is the smallest common multiple of 190 and j(0)?
11590
Let t be 3 + ((-9)/(-3) - 2). Suppose 7*z - 30 = t*z. Suppose 37*h - 2*f - 18 = 36*h, -67 = -4*h + 3*f. Calculate the least common multiple of z and h.
80
Let f = 32547/10 - 4100627/1260. Find the common denominator of f and -79/252.
252
What is the common denominator of 17/15349 and ((-13)/7)/(8/(-16)*-1)?
107443
Suppose 45*y = -g + 41*y - 17, -2*y + 2 = 4*g. What is the lowest common multiple of g and 1509?
1509
Suppose 0 = 6*n - 4*n - 64. What is the common denominator of 17/88 and (6/n)/(36/3)?
704
Let a = 81 - 80. Let h be (2/(-4))/(((-6)/(-12))/a). Calculate the smallest common multiple of h + 18 + (2 - 5) and 36.
252
Suppose 0 = -7*f + 2*f + 140. Suppose 4*k = f + 20. Calculate the smallest common multiple of k and (-4)/(-6) - 291/(-9)*1.
132
Let y be ((-168)/32)/((-5)/(-20)). What is the common denominator of y*(429/(-260))/((-18)/4) and -3/8?
40
Let q(c) = c**3 + 3*c**2 + 3. Suppose 0 = -11*d - 11*d - 66. What is the least common multiple of 11 and q(d)?
33
Let w = 15981 - 15386. Calculate the lowest common multiple of 340 and w.
2380
Suppose v + 1364 = 478. Let i be v/10 + (-36)/90. Let t = -82 - i. What is the lowest common multiple of 5 and t?
35
Suppose 0 = -5*d - 215*o + 219*o + 55392, 4*o + 33248 = 3*d. Calculate the lowest common multiple of d and 36.
99648
What is the least common multiple of 2052 and (12/14)/((-6)/(-84))?
2052
Let a = -13422 - 11397. Let x = 893627/36 + a. Find the common denominator of x and 89/20.
180
Let f be 3/9 + 2 + (-2)/(-3). Let g = 30 + f. Suppose g*c - 32*c - 3 = 0. What is the least common multiple of 6 and c?
6
Suppose 4*s = 3*i + 924, -5*i + 341 + 147 = 2*s. Suppose -2*x - 5*c + s = 0, 258 = 5*x + 2*c - 348. Calculate the lowest common multiple of x and 18.
1098
Let y be (-32)/(-8) + -7 - 923. Let l be (183/(-4))/(6/(-121)). Let m = l + y. What is the common denominator of m and -57/16?
16
Suppose 93 = 8*r + 61. Let w(a) = 5*a**2 - a - 10. Calculate the smallest common multiple of 9 and w(r).
198
Let j = -778/15 - -326/5. Suppose 4*g - 24 = 10*g. What is the common denominator of j and 31/(-7 + (g - -6))?
15
What is the common denominator of 22/(1760/(-90))*14 and -3 - -42*9/300?
100
Let r = -1218 + 25607/21. Calculate the common denominator of r and 9/742.
2226
Let z(c) be the third derivative of c**5/60 - 11*c**4/12 + 10*c**3/3 - 31*c**2 + 1. Calculate the least common multiple of 190 and z(22).
380
Let c(x) = 3*x**3 + 6*x**2 - 10*x + 13. Let k be c(3). Let f = 131 - k. Calculate the smallest common multiple of 10 and f.
130
Let g = -2623/8 - -8393/24. Let j = -4066847 - -48745277/12. Let z = j - -4747. What is the common denominator of z and g?
12
Suppose -1656 = 2*o + 5*s - 5825, 0 = 2*o - 2*s - 4134. What is the lowest common multiple of o and 444?
6216
Suppose -43 - 293 = -31*f - 11*f. What is the smallest common multiple of f and 486?
1944
Calculate the common denominator of -73/168 and 8/9*31857/4144.
168
Let h(z) be the first derivative of z**4/4 - 3*z**3 - z**2/2 + 14*z + 40. What is the lowest common multiple of 70 and h(9)?
70
Let y(q) = q**2 + 6*q + 2. Let r be y(-7). Suppose -5*w = -2*l + r, 4*l - 2*w - 13 = 3*w. What is the least common multiple of ((-6)/(-45)*-6)/(l/(-45)) and 4?
36
Let q be 5 + -1 + 7 + 1. Find the common denominator of -8 and q*(6 + 112/(-18)).
3
Let u(m) = -m**2 - 6*m + 22. Let h be u(-9). Let o(g) = -9*g + 11. What is the smallest common multiple of o(h) and 49?
392
Let k be (-2 - 1/(-1)) + 5. Suppose -k*i - 3 = -3*i. What is the common denominator of 2/(-96)*122 - i and -59/16?
48
Let t be ((-4)/12)/(3/27) - -231. Find the common denominator of 95/4 and ((-1)/28)/(t/16625).
48
Let j = 497 + -736. Let b = -128 - j. Calculate the least common multiple of b and 1.
111
Let s(q) = 2*q**2 + 2*q + 2. Let d be s(-2). Suppose -d*h + 120 = -0*h. Calculate the smallest common multiple of (18/(-24))/((-1)/h) and 30.
30
Let c = -266 - -280. Let a = 76 + -64. Calculate the smallest common multiple of a and c.
84
Let f be (5309*3)/(14 + -11). Let v = f - 63649/12. What is the common denominator of v and 265/(-168) + 4/14?
24
Suppose 5*r = 2*a - 