2
Let l(r) = -23*r - 955. What is the least common multiple of l(-75) and 3?
2310
Let r be (4/770)/((-981)/90 + 11). Let x = -1649/616 + r. Calculate the common denominator of -107/56 and x.
56
Let r = 244 + -262. Find the common denominator of 7/32 and ((-170)/r - 2)*(-153)/(-408).
96
Let s = -26928 - -215403/8. Calculate the common denominator of s and -25/12436.
24872
Let i = 28511 + -26801. Calculate the smallest common multiple of 2850 and i.
8550
Calculate the common denominator of -99/28 and 524/2002 + 58/377.
308
Let t(x) = x**2 - 12*x + 13. Let p be t(11). Let k be 0 - 23/1 - 2/p. What is the common denominator of 59/18 and (k/(-160))/(4/(-170))?
72
Suppose 2*f - 31*f = -406. Calculate the smallest common multiple of f and 6360.
44520
Suppose 2*n + 4*i - 2*i + 14 = 0, -4*i = -3*n - 14. Let v be ((-5)/(-15))/((-2)/n). Find the common denominator of (-14)/(-168)*11*v and -23/6.
12
Let u = 459213176/1619 - 283640. Let p = u - -185961/22666. Calculate the common denominator of p and (-2)/11 + (-9)/(-2).
154
Let n(q) = -3*q**2 + q**3 - 7 + 34*q + 41*q - 116*q + 36*q. Calculate the lowest common multiple of n(5) and 51.
306
Let b(r) = -4*r + 44. Let a be b(12). What is the least common multiple of ((-296)/9)/a + 4/(-18) and 3?
24
Let f(j) = 2*j - 182. Let n be f(-11). Calculate the common denominator of ((-5)/180)/(n/(-342)) and 75/16.
816
Suppose 0*o - 4*b + 451 = -o, 0 = 2*o - 2*b + 932. Let a = o - -3761/8. Calculate the common denominator of a and -59/4.
8
Let t = -192 + 478. Let z = t + -244. Let n(s) = s**2 + 2. Calculate the lowest common multiple of z and n(5).
378
Let h = 95 + -90. What is the least common multiple of 20 and (900/(-8))/h*-2?
180
Let m be -8*((-2)/4 + 4). Find the common denominator of -103/212 and 20/(-12)*-3 - m/80.
1060
What is the common denominator of 43/1308 and -5 - 2*(-178706)/71940?
6540
Calculate the common denominator of (19698/(-882))/((-20)/6) and -137/70.
70
What is the smallest common multiple of ((-15)/4)/((-2057)/136 - -15) and 3?
30
Let r be (-293)/(-2) + (-7 - -12). Let q = r - 139. What is the common denominator of 37/4 and q?
4
What is the least common multiple of 5258 and (1/3)/((-1)/(-66)*22)?
5258
Suppose 17*a - 11448 = -3220. Suppose 3*o - a + 31 = 4*p, 2*o - 4*p - 306 = 0. What is the smallest common multiple of o and 12?
588
Suppose -57*q + 53*q = -20. Suppose -4*w = -q*w + r + 14, -82 = -5*w - r. What is the least common multiple of w and 16?
16
Let m be (-10)/45 - 106/9. Let u = -1083/2 + 527. Let y = u - m. Find the common denominator of y and -14/5.
10
Let n = 6480 - 5262. What is the smallest common multiple of 406 and n?
1218
Calculate the least common multiple of 12 and (-1)/(4/60) + 1373.
8148
Let r be 3 + 1/2*(-6 + 4). Let g be -1 + r + (-6)/3. Calculate the lowest common multiple of 6 and g + 120/9 - (-4)/6.
78
Let a = -2/1444481 - -5996041285/472345287. Let j = -1905/57334 - -3/526. Let d = a + j. Calculate the common denominator of d and 61/33.
33
Let a = -1870 - -16695. Let u be ((-1)/2 - a/10) + -4. Let o = -14931/10 - u. What is the common denominator of o and 109/10?
10
Let h = 1187107/8 + -148379. Suppose -3*b + 62 = 452. Find the common denominator of h and b/(-24) - 2/8.
24
Let v = -400 - -11199/28. Let d = 11/84 + v. Calculate the common denominator of d and 15/35 - (-39 + (-164749)/(-3864)).
168
Let a = 332/5443 + -44480065/87088. Let w = -512 - a. Find the common denominator of w and -23/496.
496
Let y = 12/2005 - -4407/268670. Let l = 24729/10 - 2479. Calculate the common denominator of l and y.
670
Let t be -1*(-3414082)/(-208) + -7. Let i = t - -16421. Find the common denominator of -69/65 and i.
520
Let o(k) = 2*k**2 - 18*k - 36. Let w be 3/15 + 324/30. What is the smallest common multiple of o(w) and 3?
24
Let n = 19358 + -13694. Calculate the smallest common multiple of 6 and n.
5664
Suppose -68003 = -20*o + 4417. Find the common denominator of (2 + (2 - 6))*o/918 and 1/24.
72
Let v = -2/27427 + 1234247/438832. Calculate the common denominator of v and 3 - (-533)/198*-1.
1584
Calculate the lowest common multiple of 325 and ((-15)/6)/(6/156*(-2)/50).
1625
Suppose -5*r - z + 4*z + 866 = 0, 3*z + 178 = r. Let d = -170 + r. Suppose 2*q + 0 = 12. Calculate the smallest common multiple of d and q.
6
Let q = 55/54 + -1256/27. Calculate the common denominator of q and -25 + 38887/2072 + 7.
56
Let s(z) = -z**3 - 12*z**2 - 12*z + 4. What is the least common multiple of 615 and s(-11)?
615
Let d be (8/4 - 2)/4. Let s(h) = -h**2 - 6*h - 89. Let i be s(d). Calculate the common denominator of 83/14 and (i/10)/((-2)/(-15)*6).
56
Suppose -3*j + 96 = 2*j + 4*l, -5*j + 100 = 5*l. What is the lowest common multiple of j and (-3)/(2/(320/456) - 3)?
80
Let l be ((-1632)/(-72))/((-4)/(-42)). Calculate the common denominator of -131/12 and (2/20)/(2/l).
60
Let i be (-3)/(-12) + (-9)/(-12) - 5. Calculate the common denominator of i/33*765/34 and 61/(-8) + 1/2.
88
Suppose 12 = -3*m + 54. Let u(l) = 5*l - 130 + 246 - 146. Calculate the least common multiple of u(10) and m.
140
Suppose 4*q = 5*b - 8 - 400, q + 162 = 2*b. What is the lowest common multiple of b and (115 + 0 + 5)*(-8)/(-12)?
80
Let k = -23236295 - -418462513/18. Let u = -11618 + k. Calculate the common denominator of u and ((-6)/5)/((10865/375 + -29)*-110).
198
Suppose 12 + 268 = 5*v. Let j = v + -36. Let r = -271 - -297. What is the smallest common multiple of j and r?
260
Let j = -7314678001/992 + 7373672. Let x = -128/31 + j. What is the common denominator of 125/36 and x?
288
Suppose -39*g = -18*g + 42. What is the common denominator of 26/8*g*(-2)/(-11) and -21/4?
44
Let u(n) = -4*n**3 - 6*n**2 - 6*n - 6. Let r = 105 + -57. Calculate the smallest common multiple of (-1)/((-5)/(r - -2)) and u(-4).
890
Let h be ((-8)/(-4))/(-1 + (-9)/5). Let t = h + 41/28. Calculate the common denominator of t and (374/(-484))/((5/(-4))/5).
44
Suppose -k + 5*d = k + 8, -14 = -5*k + 4*d. Suppose 6 - 3 = 3*f - 2*w, 3*f - w - k = 0. Calculate the lowest common multiple of (-2*3)/(2/(-3)) and f.
9
Let k(c) = 20*c**2 + 124*c - 381. Calculate the lowest common multiple of 342 and k(3).
342
Suppose 0 = -3*s + 4*r - 157, -2*s + s = -3*r + 49. Let p = s + 85. What is the lowest common multiple of p and 9?
90
Let n = -950363/146676 - -1325/204. Calculate the common denominator of 169/30 and n.
21570
Let k be (34 - 39)*6/(-10). Suppose -k*u + u - 28 = -s, 0 = 5*s - u - 149. What is the least common multiple of s and 12?
60
Let w = -526 - -574. Calculate the lowest common multiple of 270 and w.
2160
Let l = 558 + -233. Let i(u) = 2*u**2 - 2*u - 1. What is the least common multiple of i(-1) and l/39 - 4/(-6)?
9
What is the common denominator of (20/(-150))/((-1)/46) and -37/25?
75
Let k(j) = 3*j**2 - j - 1. Let u be k(1). Suppose -3*o + 5 + u = 0. Suppose 9 = 2*n - 5*b, -b + o*b = -1. What is the least common multiple of n and 11?
22
Let s be 84/(-15) + 4/(-10). Let m(f) = 5*f**2 + 8*f + 28. What is the smallest common multiple of 5 and m(s)?
160
Let m be (-8)/12*(-9)/84894. Let y = 877271/466917 - m. Let h = -6/527 + -38435/3162. Find the common denominator of h and y.
66
Let i(b) = -2*b**3 - 4*b**2 + b + 1. Suppose -20*a - 30 = 30. What is the lowest common multiple of i(-3) and (-5 - -4)*(5 + (a - 20))?
144
Let b = 6228 - 6084. Calculate the least common multiple of 4 and b.
144
Let i be (460/(-15))/(2/(-3)). Let j be (-1*(-13)/1)/((-1)/(-2)). Let m = i + j. Calculate the lowest common multiple of m and 6.
72
What is the least common multiple of 42 and ((-486)/(-45))/((-12)/(-40))?
252
Let b(u) = -u**3 - 3*u**2 + 3*u + 18. Let z be b(-6). Calculate the common denominator of (24/129)/(z/306) and -28/3.
129
Let o = 3529 - 3504. What is the least common multiple of 30 and o?
150
Suppose 1442*d - 1436*d - 5340 = 0. Calculate the lowest common multiple of d and 5.
890
Let f = -59 + 91. Let n = 263045 - 263029. What is the lowest common multiple of f and n?
32
Let r(s) = s**2 - 7*s. Let c = 47376 - 47371. What is the least common multiple of r(9) and c?
90
Let z = -4988 - -379093/76. Find the common denominator of 41/17 and z.
1292
What is the common denominator of 79/120 and (-117)/(-243)*15/100?
360
Calculate the common denominator of 3563/3780 -