52
Let n(t) = -10*t - 6. Let d = -28 + 72. Suppose 7*m - d = 5*m. What is the least common multiple of n(-5) and m?
44
Let k(l) = -186*l - 2774. Calculate the least common multiple of 182 and k(-15).
1456
Let a = -7770 - -124261/16. Let t = -182738141/240 + 761414. Let b = t - 139/15. Find the common denominator of a and b.
16
Let i be 21/7*((-10)/3 + 2). What is the smallest common multiple of ((-552)/(-322))/(0 - i/42) and 174?
522
Suppose -5*p + 28 = -12*p. Let k be 2/p*(3 + 4/(-4)). What is the common denominator of k/25*((-5925)/6)/5 and 9/16?
80
Let i(v) = 12*v - 55. Let q be i(10). Let h = 90 + q. Suppose 5*u + r + h = -4*r, 0 = 5*u - 2*r + 183. What is the common denominator of -11/37 and u?
37
Let n = 2511 + -2479. What is the lowest common multiple of 10 and n?
160
Calculate the common denominator of -9/544 and (15 - (-14454)/(-4896)) + -12.
544
Let r(q) = -13*q**2 + 123*q - 34. Suppose -20 = -8*m - 2*m. Calculate the smallest common multiple of m and r(9).
20
Let b(q) = 3*q**2 - 10*q + 1. Let h be b(8). Let s = h - 95. What is the least common multiple of 30 and s?
90
Let o = 12045951/170 + -70859. Find the common denominator of 75/14 and o.
1190
Let l = -782 - -786. Let q be ((-12)/(-7))/(1/84). Suppose 0*m = -2*m + q. Calculate the smallest common multiple of l and m.
72
Suppose -3*b + 29 = r - 5*r, -2*b = r - 12. Calculate the least common multiple of 48 and b.
336
Let u = -149 - -155. Suppose -u*q + 9 + 9 = 0. Suppose q*z - 13 = -5*c, -5*z = -c - 0*c - 31. Calculate the smallest common multiple of 9 and z.
18
Let y = -2329216/3171 - 6678/151. Let j = y + 778. Calculate the common denominator of 71/21 and j.
21
What is the least common multiple of 13 - (-35)/(245/(-28)) and 1053?
1053
Suppose 5*v - l - 206 = 0, -5*v + 218 = -3*l + 5*l. Calculate the least common multiple of v and -3 + 9*(-2 + 3).
42
Let r = 2926 - 2872. Calculate the least common multiple of 81 and r.
162
Let v = -141 - -105. Let n = 48 + v. What is the lowest common multiple of n and 20?
60
Let p be 1*(-8 - -2)/(-1). Suppose 3 = p*z - 9. Suppose -3*y = z*r - 1 - 12, -3*y + 4*r = -19. What is the smallest common multiple of y and 6?
30
Let m(t) = -81*t + 178. Let g be m(-5). Let z = g - 560. What is the lowest common multiple of 6 and z?
138
Let i = 2968 + -1075. Let h = 4214273 + -59026369/14. Let v = h + i. Calculate the common denominator of v and -11/12.
84
Let m(p) = 4 - 14*p - 19*p + 1 + 34*p. Calculate the smallest common multiple of m(7) and 33.
132
Suppose 5*g + 5*m = 14 + 11, -5*m = 4*g - 25. Suppose -43*k + 36*k + 203 = g. Calculate the least common multiple of 3 and k.
87
Let k(s) = 42*s**2 - 57*s + 180. What is the smallest common multiple of k(5) and 120?
7560
Let w be 5*-1 + 45169/10549. Let d = 66/959 + w. What is the common denominator of -86/21 and d?
231
Suppose 5337 + 2475 = 558*k. Calculate the smallest common multiple of k and 2 + (43 + 1)*6.
266
Let b(p) = 3*p + 15. Calculate the smallest common multiple of ((-3)/5)/((-2)/60) and b(-1).
36
Suppose -n = -15 + 14. Calculate the common denominator of -68/175 and (-177)/(-12)*n + (-3)/4.
175
Let l = 6 - 3. Calculate the smallest common multiple of 6/9*(-3 + 162/36)*11 and l.
33
What is the common denominator of -4 - (2 + -3) - (-273699)/88072 and -1/168?
16968
Calculate the lowest common multiple of 1286 and (-22)/462*-35*(0 + 6).
6430
Suppose -2*v - 2*a = -168, -84 = v - 2*v - 4*a. What is the least common multiple of (5/5 + -4)*-5 and v?
420
Calculate the common denominator of -87/88 and ((-6)/792)/((-3)/12*(-224)/2562).
176
Suppose -8*s = -4*x - 7*s + 20, 0 = 4*s. Suppose 0 = -8*w + 82 - 26. Calculate the smallest common multiple of x and w.
35
Let p = -2/31879 - -1881077/3442932. Calculate the common denominator of p and 15 - (11 + 5) - (-175)/36.
108
Let b(d) = d**3 + 7*d**2 + 7*d - 1. Let q be b(-6). Calculate the common denominator of 625/(-250)*((-22)/55)/(48/62) and 2/q + (-1126)/420.
120
Let q be (17/40)/((-262)/(-125)). Let j = 2/131 - q. What is the common denominator of j and (18/12 + 0)/(6 - (-203)/(-33))?
80
Let o = -107560633/306 + 351505. Calculate the common denominator of o and -40/459.
918
What is the common denominator of ((-507)/36 - (-14 + 378/28))/(-10) and 29/252?
2520
Suppose 0 = -338*u + 132*u + 49440. Calculate the smallest common multiple of 380 and u.
4560
Let v(w) = -w**3 - 29*w**2 - 174*w + 14. Calculate the lowest common multiple of v(-21) and 1060.
7420
Suppose -81*g + 560 = 155. Suppose -4*i + 1340 + 188 = g*k, 0 = k + i - 306. Calculate the lowest common multiple of 14 and k.
2128
Let z = -401 - -404. Suppose 10*w = 2*n + 7*w - 16, 13 = z*n + w. What is the lowest common multiple of n and 171?
855
Suppose -5*x + 48 + 74 = -m, 174 = 7*x - 3*m. Suppose 0 = 2*a - 3*u - 2*u - 26, 10 = 2*a + 3*u. Calculate the least common multiple of a and x.
24
Let g be (-226)/(-10) - (-2 - (-52)/20). Let d = -4 + g. Let a = 37 - -5. Calculate the smallest common multiple of a and d.
126
Suppose 5*c + 67 + 648 = 3*o, 3*o - c - 743 = 0. What is the least common multiple of 1850 and o?
9250
Let j be ((-32)/(-12))/(2/(-3)) + 440. Let i = j - 359. What is the lowest common multiple of i and 10?
770
Let o = -77 - -161. Let c = 128 + -125. Calculate the smallest common multiple of c and o.
84
Let p = 20224 - 20116. Calculate the least common multiple of p and 3384.
10152
Let x = 5/56 + -2517/280. Let g = 716200/13 + -55091. Find the common denominator of g and x.
130
Suppose -3*z - 4*v + 444 = 0, -44*v + 43*v = z - 147. What is the least common multiple of z and 252?
1008
Let r = -2159 + 2327. What is the smallest common multiple of 224 and r?
672
Calculate the common denominator of (1048/42)/(-4) + (-28 - (-2197)/78) and -167/294.
294
Let g = 322 - 176. Calculate the smallest common multiple of (2/(-44)*-32)/(4/44) and g.
1168
Suppose -5*d + t = -4*d - 3, 3*d - 3 = 5*t. Let n = 58 - 52. What is the lowest common multiple of d and n?
6
Suppose -5*m + 22 = 7. Calculate the smallest common multiple of m and 685/15 + (-4)/6.
45
Suppose -5*n + 4*g + 18 = 0, -n + 5*g = 6*g. Suppose -n*o = -3*c - 97, 0 = -0*o - 2*o + 4. Calculate the common denominator of -11/10 and 4 - 27/6 - c/(-22).
110
Let r = -29634685/244 + 121454. What is the common denominator of r and (-4)/18 - 2288988/(-189216)?
488
Suppose -l - 3*x = -44 - 5, 5*x = 3*l - 119. Let w = -82 + l. What is the common denominator of -35/37 and (w/8 - -2)*3 - 1?
296
Let x = -3732 + 14999/4. Let f(u) = 4*u**2 + u + 18. Let l be f(-5). Find the common denominator of x and (-50)/1000*(-1)/(2/l).
40
Let x(j) = -j**3 + 6*j**2 + 2*j - 11. Let b be x(6). Let k be 1 - (3 + -4)*b. Calculate the common denominator of (-418)/72 - (22/8 - k) and -29/6.
18
Let w = -179508/5 - -50980233/1420. What is the common denominator of w and 53/20?
1420
Let f = -52329/5 - -10454. Calculate the common denominator of 3/413 and f.
2065
Suppose 152 = -0*b + 2*b + 2*d, -2*d + 71 = b. Calculate the smallest common multiple of 60 and 33/(-44) + b/12.
60
Calculate the common denominator of ((-187)/22 + 17)*14/18 and -81/2588.
23292
Let a = -887887/48 + 18499. What is the common denominator of (-449918)/202272 + (-12)/258 and a?
48
Suppose -70*n = 3*a - 65*n + 4, 0 = 4*n + 8. Suppose 2*g - 1 + 7 = 0, 2*z - 5*g - 43 = 0. Calculate the least common multiple of z and a.
14
Let k(o) = 76*o + 1530. Calculate the least common multiple of k(-15) and 156.
780
Find the common denominator of 3/364 and (2/871)/(385/35 + (-1065)/99).
24388
Let j = -19 + 31. Let q(y) = 2*y**2 - 26*y + 5. Let b be q(13). Suppose -4*z + 2*z = 2*x - 44, -3*z + b*x = -82. What is the lowest common multiple of j and z?
24
Let r(u) = -2*u**2 + 36*u + 66. What is the least common multiple of r(19) and 182?
364
Suppose 27*w - 41*w = 22*w - 288. Let b = -20 + 11. What is the smallest common multiple of w and (-3)/b*(1 + 2)?
8
Let t(r) = r**2 - 7*r - 16. Let x be t(9). Suppose -m = -x*z - 12, 5*m - 22 + 10 = -2*z. Calculate the common denominator of -21/8 and (-13 - -24)/(7*z/2).
56
Let c be 6 + (-6 - (2 - 0)). Calculate the lowest common multiple of 202 - -46 - (-4)/c and 20.
2460
Let i be 15/560*36063416/18. Let c = -53664 + i. Calculate the common denominator of c and 13/48.
336
Let x = -104 + 123. Su