*u + 2*p + 23120 = 0, -u - p + 5780 = 3*p. Calculate the smallest common multiple of (-10)/40 - (-1 + u/(-16)) and 3/(-2 + (-7)/(-2)).
362
Let s be (-1)/6 + (-2028)/(-72). Suppose -m - s = -5*m. Suppose -17*h = -m*h - 90. Calculate the least common multiple of h and 21.
63
Let t = -27 + 47. Let x = 10 + t. Let a = 180 - 153. Calculate the lowest common multiple of a and x.
270
Let n be (-1)/((7/(-42))/(1/3)). Calculate the smallest common multiple of 14 and 30*((n - 1)*1)/3.
70
Let j(w) = -w. Let x be j(0). Suppose 3*l - 46 - 2 = -5*c, 3*c + 5*l - 16 = x. What is the smallest common multiple of 10/1 + -2 + -1 and c?
84
Let x(g) = -27*g**2 + 2*g - 8. Let c be x(4). What is the common denominator of -157/78 and 252/c*(-214)/21?
234
Let k(q) = 6*q**3 + 14*q**2 + 9*q - 5. Calculate the smallest common multiple of 39 and k(2).
117
Let l = 5546 - 5405. What is the smallest common multiple of 28 and l?
3948
Let y = 789/14 + -115/2. Find the common denominator of y and (-2)/56*4*(-11 + -1).
7
Let a = -4/6741 - -573017/53928. Find the common denominator of a and -129/520.
520
Suppose 8 = -5*t - 122. Let v = t - -46. Suppose -164 + 228 = 4*u. Calculate the smallest common multiple of v and u.
80
Let n = 6045/4 + -1528. What is the common denominator of (-12)/(-1288) + 2/14 and n?
92
Let a = 3797 + -3790. What is the lowest common multiple of a and 7?
7
Let p = -97 + 177. Let b be ((-8)/(-20))/(1/p). Let r = -10 + b. Calculate the least common multiple of r and 18.
198
Let t be (1 + -3)*-6*(-298)/(-6). Suppose -3*a - t = -2*q + q, 4*a + 2958 = 5*q. Calculate the common denominator of 45/4 and 2/(-5) + q/225 + 5.
36
Calculate the smallest common multiple of 21 and (-3 - (-16 - -14))*-1239.
1239
Suppose 4 = i + 2. Suppose -4*d + m + i*m + 44 = 0, 8 = 2*d + 2*m. Calculate the least common multiple of 70 and d.
280
Let q = -8517 - -8989. Calculate the least common multiple of q and 1062.
4248
Let d(j) = j**3 - 4*j**2 + 3*j - 5. Let x be d(4). Suppose 0 = 6*k + x + 29. Find the common denominator of (-9)/10*((-15)/k + -1) and -43/5.
20
Let c = 60 - 48. Let z be (-14 - -2)/(c/(-80)). Find the common denominator of 6/z*(-1206)/(-27) and -59/116.
580
Let n = 46 - 44. Calculate the common denominator of (99/(-765))/(n/(-10)) and 3 + ((-194)/20 - 5).
170
Let g be (-12)/(-2)*(-138)/(-18). Let c = -97 + g. What is the smallest common multiple of 170/c*(-5)/(25/6) and 2?
4
Let s = 4855 + -116567/24. Let q = -415019/32 - -12967. What is the common denominator of q and s?
96
Let g(f) = -9*f**2 + 9*f + 386. What is the smallest common multiple of g(-6) and 6620?
13240
Suppose 195 = -o - 2*k + 997, -3*k - 6 = 0. Suppose 17*z = 1404 + o. Calculate the least common multiple of z and 78.
390
Let s(v) = -2*v**2 + 6*v. Let k be s(5). Let f = 1429/1088 + -5/64. Calculate the common denominator of 24/(-55) - k/25 and f.
187
Suppose -155 = 8*m - 39*m. Suppose p - 291 = -q, -m*q + 1167 = 4*p - 2*q. What is the least common multiple of p and 39?
3822
Suppose -645 = -3*w - 5*b, -14*w - 825 = -18*w + 5*b. Calculate the least common multiple of 189 and w.
1890
Suppose -48 = -5*i + 2*i. Let t be -11*(0 - 1) - -2. Suppose -27 = -t*c + 207. Calculate the lowest common multiple of c and i.
144
What is the common denominator of (-4)/(-30) + 13724/(-90155) and -8/39?
741
Suppose 0 = 3*n - 5*p + 7, -90*p = -87*p - 6. Suppose -6*z - 5*t + 43 = -2*z, z = -4*t + 19. What is the lowest common multiple of (-1)/(((-1)/z)/1) and n?
7
Let c(a) = 18*a**3 - 3*a**2 + 2*a + 15. Let j be c(5). Let i = j - 19831/9. Calculate the common denominator of 119/18 and i.
18
Suppose -109*r - 24*r = -39102. What is the least common multiple of 36 and r?
1764
Let a be -2 + 1 + -3 - -104. Let o = 338/3 - a. Calculate the common denominator of o and 23/305.
915
Suppose -14*m + 109389 = 109137. Calculate the lowest common multiple of 34*(-4)/(16/(-6)) and m.
306
Suppose -2*q - q = z - 22, q - 3*z = -6. Let r = 975/2 + -20647/42. Find the common denominator of q + -8 + (-351)/(-30) and r.
210
Suppose 9*s + 982 = -710. Calculate the common denominator of -91/60 and (-6)/56*8883/s.
240
What is the common denominator of (1488/(-1600))/(-31)*-19*2 and 18/65?
650
Suppose 0*d = -0*d + d. Suppose -3*h + d = -24. Let f = -55 + 62. What is the lowest common multiple of h and f?
56
Let a = 8651275/18746 - -2/9373. Suppose -124*g = -102*g - 10714. Let p = a - g. Find the common denominator of -151/6 and p.
6
Let f be ((-2298)/(-8))/(2/(-8)). Let a = -5804/5 - f. Let l = -4288/25 + 628223/3650. Find the common denominator of a and l.
730
Let b be (-1)/(-5) + (-28)/(-10). Suppose 0 = k - b*k + 42. What is the smallest common multiple of k and 4/14 + (-3)/((-105)/935)?
189
Suppose 10*n = -0*n + 850. Suppose -3*y = -2*t + 122, 80*t - 79*t + 5*y - 35 = 0. Calculate the smallest common multiple of n and t.
935
Let z be (-8463)/(-39) + 1 + 7. Let i(j) = -j**3 + 9*j**2 - 7*j + 5. Calculate the smallest common multiple of i(4) and (0 + (-12)/(-10))/(27/z).
570
Suppose 190*h + 240 = 195*h. Suppose -132*s = -128*s - h. Calculate the lowest common multiple of s and 10.
60
Let y = -44/21 + 1217/651. Find the common denominator of (-3074)/406 + 1 + 20/(-28) and y.
217
Suppose 0*n + 2*q = 2*n - 26, 3*n = -q + 19. Suppose 3*z = -3*r + 592 - 118, -174 = -z - 5*r. What is the smallest common multiple of z and n?
616
Let y = -249/158 - -47438/29625. Calculate the common denominator of y and 187/60.
1500
Let o = 180 - 327. Let j = 169 + o. What is the lowest common multiple of 62 and j?
682
Let x(p) = p + 109. Let l be x(-34). Find the common denominator of (36 + -17)/(l/(0 + -3)) and 11/3.
75
Let c(p) = 21*p**2 - 13*p - 11. Let k be c(-1). Suppose -22*r = -155 + k. Calculate the least common multiple of r and 2.
6
Let r(f) be the second derivative of 41*f**3/6 - 146*f**2 - 208*f. What is the lowest common multiple of 63 and r(9)?
693
Let j = 5072649421/1920 - 2642005. Find the common denominator of -43/2240 and j.
13440
Let v be 302478/6 + 20/4. Let f = -2873753/57 + v. Find the common denominator of f and 169/84.
1596
Let t(n) = 2*n**2 - 21*n - 166. Let a be t(-14). Calculate the common denominator of (a/10)/13 + (-14)/(-9) and 83/60.
180
Suppose 0 = -4*g - 0 + 4. Let h(n) = -2*n**2 + 34*n - 99. Let f be h(29). Let v = f + 869. What is the smallest common multiple of v and g?
74
Let w = -37 - -38. Suppose 0 = -5*n - w + 171. Let c = n - 13. Calculate the lowest common multiple of c and 6.
42
Let g = 16064 - 337411/21. Let n = -11764 + 141023/12. Find the common denominator of g and n.
84
What is the common denominator of 49/2562*75/(-50) and 115/14?
1708
Let y = 442043/4 - 111403. Let f = y - -884. Calculate the common denominator of f and 12/(-7)*3/(-2).
28
Suppose 11*j = -11 + 66. Find the common denominator of (30/12)/j - 42/11 and 5/252.
2772
Let c = 7375 + -7366. Let r(h) = 3*h**2 + 4*h - 4. What is the least common multiple of c and r(4)?
180
Let s(v) = -7*v**3 + 25*v**2 - 4*v - 2. What is the lowest common multiple of 4/18 + (-3936)/(-27) and s(3)?
1606
Let t(p) = -73*p. Let w be t(-2). Let g = w - 102. Let h = g + -41. Calculate the least common multiple of 12 and h.
12
Let g(x) = -4*x**2 + 70*x + 123. What is the smallest common multiple of 552 and g(19)?
1656
Let g be (2/24)/((-37)/(-14541)). Let p = g - 3015/92. Calculate the common denominator of p and (-17)/4*(-8)/(-12).
138
Suppose -2*s + 1721 = 5*l, -5*l + 9*s + 1723 = 10*s. What is the lowest common multiple of l and 105?
2415
Let q(s) = 4*s + 6. Calculate the smallest common multiple of q(8) and 13144/930 - (-16)/(-120).
266
Suppose 35 - 15 = 5*h. Suppose 59*l - 440 = 48*l. What is the lowest common multiple of h and l?
40
Let c = -8969 + 9378. What is the smallest common multiple of 2454 and c?
2454
Let v = -17717879/347176926 - -1/1794196. Calculate the common denominator of v and 93/860.
7740
Let c be (-5)/(100/28) - 2/(-2). Let g = c - -73/20. Find the common denominator of 89/20 and g.
20
Suppose -5*c + 50 = d, -3*c - 5*d - 1 + 9 = 0. Let j(n) = -2*n**2 + 3*n + 21. Let b be j(-3). Calculate the least common multiple of c and (3 - -19)*(-3)/b.
11
Let g = 3 - 1. Let o = 98 - 94. Suppose 2*z + 3*c = 44, -5*z = -0*c + o*c - 96. Calculate the lowest common multiple of g and 