 Let u = j - -73. Calculate the lowest common multiple of 8 and u.
40
Let z be 7/(1890/(-117297)) + (-4)/10. Let a = z - -447. What is the common denominator of 47/14 and a?
42
Let l(k) = -8*k + 72. Calculate the smallest common multiple of 10/(3 + 15/(-18) + -2) and l(8).
120
Let m(p) = p**2 - 34*p + 68. Let z be m(32). Suppose 5*b = -f - 2, -5 - 17 = -z*f - 5*b. Calculate the smallest common multiple of 20 and f.
40
Let k = -2222/9 + 49415/198. Let n = 2/7049897 - 39909469757/10010853740. Let x = n - 40/71. What is the common denominator of k and x?
220
Calculate the common denominator of 37/20 and (-5488)/(-588)*18/(-1312).
820
Suppose -5*d = k + 21899, -3*d + 2*d + 3*k - 4367 = 0. Let b be d*9/(9/4). Let i = -315367/18 - b. Calculate the common denominator of i and 17/7.
126
Suppose 4*u = 13 - 461. Calculate the common denominator of 101/96 and (-14)/u*((-185)/(-4))/(-5).
96
Suppose -2*o = 5*l - 158, -5*o + 10*o + 5*l - 410 = 0. Suppose -5*b + 175 = 4*m, -4*m + 2*b + 194 = 40. Calculate the smallest common multiple of m and o.
840
Suppose -16*o + 9*o + 49 = 0. What is the common denominator of 61/44 and 15/8 - 14/147*o?
264
Let p = 27 + -16. What is the common denominator of (-36)/p - (-3)/6 and -2 - -6 - (-3 + (-268)/(-40))?
110
Suppose 99 = -10*t + 39. Calculate the common denominator of -95/14 and (-57)/(-1064)*t*18/5.
70
Suppose 5*a = -33 + 43. Suppose -1807 = 5*j - 4*r, 0*j - 3*j - 1085 = -a*r. Find the common denominator of (11/(j/(-10)))/((-4)/21) and 137/18.
198
Let h(d) = -d**3 + 29*d**2 - 57*d + 85. Let y be h(27). Suppose -3*z + 90 = y*w, w = 2*w + 4*z - 29. What is the lowest common multiple of 201 and w?
1407
Let y(d) = -d + 1. Let t(k) = k**2 - 2*k + 1. Let h be t(4). Let x be y(h). Find the common denominator of 3/(-12)*x/(-18)*-5 and 53/7.
63
Let o be (-278678283)/4680 - (2 + (-15)/8). Let c be -59541 + -1 + (-2)/(-2). Let d = o - c. What is the common denominator of d and 73/21?
210
Suppose -19*y = -1015 - 55 - 2787. Calculate the lowest common multiple of y and 378.
10962
Suppose 0 = -5*m - 35 + 165. What is the smallest common multiple of m and (-483)/(-15) - (-180)/100?
442
Let c = 187 - 235. Calculate the common denominator of (-1)/54*(0 - -97) and (-20)/c*242/5.
54
Let c = 11637 - 10943. Calculate the lowest common multiple of c and 14.
4858
Let i = 3548182/18215 - -20/3643. Let s = 186 - i. What is the common denominator of -1 + 2 + (-26)/10 and s?
5
Suppose -5*d + t = 8414, -3367 = 2*d - 0*t + t. What is the common denominator of 5/(15/9) - d/(-550) and -59/8?
200
Let l = -20707 - -21935. Calculate the lowest common multiple of l and 8.
2456
Suppose 40540 = 125*o - 84585. Calculate the lowest common multiple of 1287 and o.
9009
Let x = 257 - 161. Calculate the smallest common multiple of 192 and x.
192
What is the common denominator of ((63/9)/1470)/((-5)/1815*4) and 9/385?
3080
Suppose -s = 0, -2*s = -2*l - 0*s + 196. Find the common denominator of (142/l - -1) + 3 + -5 and 39/28.
196
Let x = -694/53 - -67253/4452. What is the common denominator of x and 49/2?
84
Let h = -2196 - -2219. What is the least common multiple of h and 69?
69
Let t be (8/6 - 0)*885. Let p = 2052419/1770 - -966/295. Let i = t - p. Find the common denominator of i and -47/33.
66
Suppose 4*k + 140 + 4044 = p, -2090 = 2*k - p. Find the common denominator of 2/(-14) + (5 - 1356/63) and k/24 + 2/16.
6
Suppose 0 = -245*z + 6582 + 16693. Calculate the least common multiple of 2660 and z.
2660
Let z = -265923/16 - -16615. Let d = -1539/2 - -6203/8. What is the common denominator of d and z?
16
Calculate the common denominator of 23/(-2) + (-147)/392 and ((-3)/(-30))/(8/(-610)).
8
Let t = -291 + 623. Let r = t + -138. What is the lowest common multiple of 5 and r?
970
Let q(g) = 194*g + 66. Calculate the smallest common multiple of 72 and q(3).
648
Let m = -22397 - -492637/22. Let d = 3/18311 + 1702881/256354. What is the common denominator of d and m?
154
Find the common denominator of 95/4 and 6 + (7701/(-306))/(196/46 + 0).
588
What is the common denominator of 49/43 and (-4394)/731 + 2 - (-15 - -11)?
731
Let l = 465 - 247. Suppose 4*k + l = 2*k - 5*i, 5*k = -2*i - 524. Let a = k + 581/6. What is the common denominator of a and 109/14?
42
Suppose -5*b + 36 = -4. Let y(n) = 2*n**3 - 8*n**2 + 6*n - 51. Let q be y(6). Suppose 125*x - q*x + 44 = 0. Calculate the smallest common multiple of x and b.
88
Let t(g) = g**2 - 41*g - 82. Suppose 6*x - 192 = -2*x. What is the smallest common multiple of x and t(43)?
24
Let z(l) = 5*l - 8. Let j be z(-6). Let m = -13 - j. Suppose u - 31*a = -27*a + 9, -2*u + 18 = 5*a. What is the smallest common multiple of m and u?
225
What is the least common multiple of (-2)/5 + (-33307)/(-380) + (-2)/8 and 1421?
4263
Let x be (-2)/(-3) + 4/3. Calculate the least common multiple of (3*4)/4 - (3 - x) and 36.
36
Let s = 8120 + -6925. Calculate the smallest common multiple of s and 956.
4780
Let r be (1/2)/((-2)/(-32)). Suppose -7*x - 2 = -r*x. Suppose 5*m + x = 7*m. Calculate the smallest common multiple of 45 and m.
45
Let r = 11662291/22214040 - -2/555351. Find the common denominator of r and (-162)/34*(-1)/(-6).
680
Let n = 85491/40 + -2140. Calculate the common denominator of n and ((-306)/45 - -7) + (-4432)/960.
120
Let n(w) = 2*w**2 - 54*w + 584. What is the least common multiple of n(13) and 110?
220
Let g be 2 - (0 + -16)*(-10011)/(-2). Let f = 47655 - g. Calculate the common denominator of (f/(-50))/13 - (-4)/(-10) and -123/10.
10
Let u = 5435167/63 + -86284. Let t = 107/7 + u. What is the common denominator of t and 42/(-156)*(0 - -4)?
117
What is the common denominator of 108/1350 - 6296/54950 and -45/1256?
8792
Let t = 17 + -80. Let s = t + 29. What is the common denominator of 43/22 and 3/(3/s)*15/(-360)?
132
Let l be (-272)/24*-45*1/(-2). Let b = l - -262. Calculate the smallest common multiple of b and 26.
182
Suppose -4*w - 1201 = -3*n + 904, 3*w + 1402 = 2*n. Let m = 715 - n. Calculate the smallest common multiple of m and 19.
152
Let b(q) = -1939*q + 349. Calculate the least common multiple of b(-1) and 12.
6864
Let h(f) = -3*f**2 - 121*f - 146. Suppose -a + 12 - 68 = -4*x, -2*a - 47 = -3*x. Calculate the smallest common multiple of x and h(-39).
130
Suppose 31 = -7*v - 179. What is the common denominator of ((-4)/v)/(-4 - (-1074)/267) and (31 - 12)*((-92)/(-90) + -1)?
45
Suppose 0 = 3*s - d + 376692, -d - 233564 - 394256 = 5*s. Let j = s + 19336937/154. Calculate the common denominator of 39/2 and j.
154
Let w = -3430 - -4620. Calculate the smallest common multiple of w and 2.
1190
Suppose 5*y - 2*g - 63 = -4*g, g = -3*y + 38. What is the least common multiple of 24 and 507/y - 21/3?
96
Suppose 3*s + 3*v = -17202, 0 = -2*s - 6*v + 3*v - 11463. Let q = s - -120590/21. Calculate the common denominator of -74/35 and q.
105
What is the common denominator of -137/1728 and ((-59)/(-330))/((20/15)/(70/21))?
19008
Let r = -1 + 7. Let f be ((-4)/(-5))/(r/(-120)). Calculate the lowest common multiple of 24 and 1/(-1)*(f - -13).
24
Let t = -135 - -153. Let z be 175/63 - (-4)/t. Suppose 0 = z*a - 16*a + 2860. Calculate the lowest common multiple of a and 16.
880
Suppose 3*o + o = -x + 638, 5*x + o = 3247. Calculate the common denominator of -10/81 and (-326)/(-936) + (-100)/x.
324
What is the least common multiple of 63 and 3/81*6 - 101498/(-342)?
2079
Let d = 55/14 + 13/7. Let u = 12145457/190 - 63924. Find the common denominator of u and d.
1330
Let w(u) = 116*u**2 + 17*u - 30. What is the least common multiple of 30 and w(5)?
5910
Let d = -264 + 448. Suppose -5*l = 4*w - 229, -2*l - 4*w = 2*l - d. Calculate the smallest common multiple of l and 55.
495
Find the common denominator of 37/544 and ((-90)/(-6880))/(181/36 + (25 - 30)).
23392
Let m(t) = t**3 - 6*t**2 - 5. Let x be m(6). Calculate the common denominator of (32/80)/((-14)/(-60)*8) and x*4/(8/15).
14
Suppose 0 = -34*x - 29*x + 48*x + 21690. What is the lowest common multiple of x and 48?
11568
Let h(d) = -18*d - 120. What is the least common multiple of 44 and h(-26)?
3828
Let m = -25 - -38. Suppose 4*i = 63 + m. Calculate the lowest common multiple of i and 5.
95
Suppose -w + 16104 = 7*w. Let p = w + -66389/33. What is the common denominator of (114/20