and k.
1008
Suppose 2*n + n - 291 = 0. Suppose -301*m + 853 = -351. What is the lowest common multiple of m and n?
388
Let a = 14327/130 + -1330/13. What is the common denominator of (8 - 0) + (-32364)/4234 and a?
730
Let f = -33767/234 - -1270/9. Suppose -24520 = -4*q - y, 5*y + 24520 = 4*q - 0*q. Let g = q + -49119/8. Find the common denominator of g and f.
104
Let h = -13028 + 13032. Calculate the lowest common multiple of h and 179.
716
Suppose 1372 = 15*g + 4*g - 12*g. Calculate the least common multiple of g and 196.
196
Let p = -14/269 - -10023/1345. Let d = -1034 - -2546. Find the common denominator of p and (d/(-52))/(-6) + 2/(-2).
65
Let r(x) = 10*x**2 - 200*x + 518. What is the lowest common multiple of 64 and r(17)?
64
Let f(v) = 15*v + 3651. What is the lowest common multiple of f(90) and 9?
15003
Let o(v) = 474*v**2 - 2*v - 4. Let t be o(8). Let z be (6366269/(-70) + 7)/(-3). Let k = t - z. What is the common denominator of 109/30 and k?
30
Calculate the smallest common multiple of 1800 and -3 + (8 - (-72553)/52) + 1/(-4).
12600
Find the common denominator of ((-20)/165)/(37/1443) and -9/854.
9394
Suppose -3*b + 236 = -3*f + 368, -2*b + 162 = 3*f. What is the least common multiple of 490 and f?
2450
Let g = -501725 - -258890197/516. Calculate the common denominator of 44/645 and g.
2580
Let n = -11203/4 + 2820. Let z = 87/35629 + -74652151/3847932. Let t = n + z. Calculate the common denominator of t and -35/18.
54
Let h be ((-7)/(-4) + -1)/((-81)/(-324)). Suppose 2*w = -3*l + 14 + 21, h*w + l - 49 = 0. Calculate the smallest common multiple of w and 18.
144
Suppose -4876 + 22624 = 87*h. Calculate the least common multiple of 663 and h.
2652
Suppose 5*l = -2*w + 8, -w - 10*l = -6*l - 4. Suppose 15*y - 123 = -5*h + 14*y, 2*h - w*y = 36. Calculate the smallest common multiple of h and ((-32)/6)/1*-3.
48
Let l(i) = 259*i**2 - 3*i - 1. Let n be l(-1). Let m = -254 + n. Calculate the least common multiple of 11 and m.
77
Let x(l) = 3 - 5*l + l**2 + 9*l + 6*l. Let c = 378 - 354. Calculate the smallest common multiple of x(-12) and c.
216
Let x(l) = -9*l + 84. Suppose -7*u - 63 = -14*u. Calculate the smallest common multiple of x(u) and 222.
222
Let l be 2/((4 + 2)*10/150). Suppose -5*n - 2*v + v + 54 = 0, 0 = -l*n - 5*v + 70. What is the least common multiple of n and 16?
80
Let i(t) = t**2 - 33*t + 170. What is the smallest common multiple of i(59) and 4?
1704
Suppose 20 = 4*w, -f + 4*w - 3*w = -21. Let t(d) = d**2 - 28*d + 76. What is the lowest common multiple of t(f) and (-2 - 1/(-1))*-9?
72
Suppose 0 = -a - 5*t + 8, -44*t + 41*t + 12 = a. Calculate the smallest common multiple of a and 960.
2880
Suppose -14 = 6*x + 22. Let r(j) = j + 15. Suppose 4 = -q + 16. Calculate the smallest common multiple of q and r(x).
36
Let k = -133 + 138. Suppose -2*i + 41 = 5*b - 213, -k*b = 5*i - 260. What is the lowest common multiple of 10 and b?
50
Suppose -137 = -16*u + 295. Calculate the smallest common multiple of 144 and u.
432
Let b be ((-627)/(-1))/(6/(-44)). Let k = b - -50530/11. What is the common denominator of k and 125/18?
198
Let f = -359 + 215. Calculate the common denominator of 2/8 - 393/f and -59/32.
96
Let j = -3814/45 + 84263/990. What is the common denominator of j and 1/648?
7128
Let x(b) = 210*b**3 - 3*b**2 - b + 1. Let z be x(-2). Let a = z + 1184. Find the common denominator of 43/46 and (6/(-30))/((-14)/a).
322
Let f = 23 + -23. Let v(i) = -41. Let q(w) = w + 2. Let o(j) = 2*q(j) + v(j). Find the common denominator of -107/10 and o(f).
10
Suppose -36*y = -174*y + 137448. Calculate the smallest common multiple of 1992 and y.
1992
Let n = -5591224 - -10578593625/1892. Let p = -281/86 - n. Find the common denominator of p and 15/16.
176
Suppose 0 = -4*s - 4*n, -116*s + 117*s - 5*n = 36. What is the smallest common multiple of 120 and s?
120
Let o = -462883/91 - -71406/13. Let l = 408 - o. Find the common denominator of 13/87 and l.
609
Let y = 67090 + -2348499/35. Let d = y - -72/5. Let n = -8768 - -34995/4. What is the common denominator of d and n?
28
Suppose 18*j - 18 = 15*j. Suppose 2*g = -6, 2*t - 5*g + 70 = 139. Calculate the smallest common multiple of t and j.
54
Let q(w) = -w**3 + 19*w**2 + 4*w - 50. What is the smallest common multiple of 16 and q(19)?
208
Let s be (6800/(-35))/(9/(-189)). Calculate the common denominator of (-2666)/s - (-24)/(-180) and -39/32.
544
Let g = 40 - 32. Suppose 2*s + g = 56. Let i = s - 18. Calculate the least common multiple of i and 29.
174
Let q(j) = 7*j**2 + 2*j - 2. Let t(i) = i**2 + 5*i - 2. Let v be t(-5). Let z = -24357 - -24363. Calculate the least common multiple of q(v) and z.
66
Let f be 12/(-30)*-5*2. Let t = 14 + f. Suppose 5*v + 3*g - 36 = 0, -2*g - 15 = -5*v + 4*v. What is the smallest common multiple of v and t?
18
What is the common denominator of -169/4740 and (-66)/(-70)*(-1)/((-9)/(23 - 5))?
33180
Let s = -87316 + 30124058/345. Calculate the common denominator of 67/4 and s.
1380
Suppose f = -2*w + 14, w = -3*f - 2 + 54. Let o(s) = 2*s**2 - 8*s - 21. Let r be o(-3). Find the common denominator of -1/24 and 327/f + (2 - r/9).
24
Let b be (-58)/10 - (-6)/(-30). Let y(t) = -7*t - 14. Let g be y(b). Suppose -9*m = g - 154. What is the smallest common multiple of m and 18?
126
Suppose 6*p = 13*p - 119. Suppose 14*b + 714 = p*b. Calculate the common denominator of ((-1)/(-2)*2)/(b/527) and 25/8.
56
Let a(s) = -17*s - 184. Let t be (-56 - -4)*(-4)/(-8). What is the least common multiple of a(t) and 5?
1290
Let g = -9135 - -9153. Calculate the lowest common multiple of g and 234.
234
Let x = 81 + -79. Suppose -y + x*y = 119. Calculate the lowest common multiple of y and 28.
476
Let v = -514468023/22 - -23389702. Let z = -4795 + v. Calculate the common denominator of (1 - (-21)/(-30))*(-35)/(-4) and z.
88
Find the common denominator of -59/136 and (81/36 + -3)/(123/61).
5576
Let r be (-7 + 1)*-1*(-10)/(-20). Suppose 15 = -r*p, -4*p + 28 = 2*b - 0*b. Calculate the least common multiple of b and 16.
48
Let k = 8380 + -8300. Calculate the lowest common multiple of k and 292.
5840
What is the common denominator of -31/946 and 294/33*(-144)/1152?
1892
What is the lowest common multiple of 99 and 3/(-36) - (-216230)/168?
1287
Let r = -14 - -27. Let p(t) = t**3 - 11*t**2 - 26*t + 15. Let i be p(r). What is the common denominator of (141/i)/(24/(-30)) and -2?
4
Suppose 8*c + 7*c = 331 + 254. Calculate the lowest common multiple of c and 450.
5850
Let q(w) = w**3 - 22*w**2 - 27*w + 2. Let t be q(23). Find the common denominator of 9/182 and 235/282*t/22.
2002
Let n(h) = h**2 - 2*h - 1. Let p(u) = -3915*u - 105703. Calculate the smallest common multiple of p(-27) and n(5).
14
Let b = -737719156244/137 + 40092631844513/9590. Let c = -1204173157 - b. Let x = 32481 + c. Calculate the common denominator of 27/2 and x.
70
Find the common denominator of 10/117 and (405/(-216))/((-27)/(-204)) - -2.
234
Suppose -377*f + 349*f + 336 = 0. What is the least common multiple of 98 and f?
588
Suppose -60 = -17*v + 5*v. Suppose 0 = 3*g + 6*u - 11*u - 57, 38 = 2*g + v*u. What is the lowest common multiple of 19 and g?
19
Let y = -3617 + -24313. Let b = y + 140857/5. Let p = b - 21481/90. What is the common denominator of 59/9 and p?
18
Let q(m) = -269*m + 4. Let j be q(2). Let s = 6377/12 + j. Let t = -44/45 + 2263/1440. Calculate the common denominator of s and t.
96
Suppose 15*t + 24 = 3*t. Let p be ((-12)/t - -1)/(-15 - -16). Let w = -91/9 + p. What is the common denominator of w and 46/27?
27
Let a = 494/387 + -19/18. Let b = -1973 - -15813/8. Calculate the common denominator of b and a.
344
Let j(p) = -145*p + 97. Calculate the least common multiple of 7 and j(0).
679
Let a = -51280/3 - -914322397/53490. Let w = a + -64171/303110. Calculate the common denominator of -119/50 and w.
850
Let m be 63 - (-6 + 2 - -9). Suppose 61*v = m*v - 15. What is the common denominator of 87/10 and ((-2)/v + 276/(-765))*-8?
510
Calculate the least common multiple of 8655/2 + 267/534 and 64.
34624
Let b(g) = -30*g + 239. Let x be b(8). What is the common denominator of 5/2 - (x - (-230)/32) and -97/200?
400
Let g(q) = -7*q - 23. Let v = -6 - 12. What is the common denominator of g(-6) and (-180)/24*44/v?
3
Cal