j?
48
What is the common denominator of 1456/1632 + -1 - (-4)/30 and 127/408?
2040
Let v = 69379 - 74027384/1067. Calculate the common denominator of 32/97 and v.
1067
What is the common denominator of (2/(-1)*(-144)/(-378))/((-6)/(-9)) and -16/223?
1561
Let q(m) = -m**3 - 16*m**2 + 5*m + 75. Let n be q(-16). Let p(t) = -t**3 - 39*t - 185. What is the least common multiple of p(n) and 9?
135
Calculate the common denominator of 31/6 and 15/(-45) + (-4)/(-30) - 57795/(-283100).
33972
Let d = 260762/1121 - 8936/59. Let z = -670131181/342 - -5878603/3. Let c = z - d. What is the common denominator of c and -61/6?
18
Let v be (-1)/4 + 796105191/(-15204). Let r = 961947189/11222 + v. Let u = r - 33357. Find the common denominator of u and -37/6.
186
Let f = -59/180391 - 14922482805/5772512. Let v = -2582 - f. Find the common denominator of -13/30 and v.
480
Let v(o) = 1253*o - 4. Suppose 3*u + 3 = 3*x - 0*u, -4*x + 2 = -5*u. Let j be v(x). Let a = j + -22649/6. Find the common denominator of -101/22 and a.
66
Let k = -12514 - -12802. Calculate the smallest common multiple of 2 and k.
288
Let b(n) = n**2 + n - 2. Let j = 32 + -23. Suppose -3*k - 3*d = -6*k - j, -5*d = 4*k + 12. Calculate the lowest common multiple of b(k) and 4.
4
Let w(v) = 71*v**3 + 21*v**2 - 21*v + 1. Calculate the least common multiple of w(1) and 8.
72
Suppose 141*f = 171*f - 2730. Calculate the lowest common multiple of 52 and f.
364
Let n = -834017/296800 - -1030/371. Find the common denominator of -97/500 and n.
4000
Let n(q) = 2*q**3 + 31*q**2 + 41*q - 8. Let p be n(-14). Calculate the smallest common multiple of 22 and 432/21*(p - -1).
1584
Let v be 0 - 200/11 - (-136)/748. Suppose -5*l + 6*l = 96. Calculate the common denominator of -89/6 and ((-1)/((-6)/146))/(l/v).
48
Let b = -162 - -145. What is the least common multiple of 108*3*b/(-68) and 36?
324
Let x be (-1)/4 + (-1025)/(-20). Suppose -3*g - 39 = x. Find the common denominator of 99/27*g/8 and 3/46.
92
Let t be (-17295)/165 - 4/22. Let n = -35 - t. What is the smallest common multiple of 5 and n?
70
Let y(k) = 30*k**2 - 9*k + 3. Let g be y(2). Suppose n = -4*b + 40, -g = n - 4*n + 3*b. What is the least common multiple of n and 27?
108
Suppose -q = -2*q + 1. Let u = 7 - q. Let z = -2664 + 2668. What is the lowest common multiple of z and u?
12
Let c be (1 - ((-10)/27 + 0))*2450388192585. Let v = c + -19786288393967354467/5892390. Let y = 2/65471 + v. Calculate the common denominator of y and 79/12.
60
Suppose 3*r - 2*s - 696 - 3245 = 0, 0 = -3*r - 5*s + 3976. Calculate the common denominator of -91/34 and r/120 + 8/20.
136
Let l = -1915636/16769995 + 5/27719. Calculate the common denominator of 111/242 and l.
1210
Let f = 53 - 96. Let r = -39 - f. Find the common denominator of -23/27 and (-1904)/189*(-1)/r.
27
Let n(o) = 436*o + 56. What is the least common multiple of 36 and n(1)?
1476
Suppose -5*c + 3*c = -86. Suppose 103 = 2*x + c. Suppose 4*h - 53 = r, 2*h - 4 = -2*r + x. Calculate the lowest common multiple of h and 78.
546
Let d = 37806 - 98976109/2618. Let b = d + 134851/62832. Find the common denominator of 37/16 and b.
48
Let u(q) = -101*q + 18. Let r be u(-2). What is the common denominator of -85/2 and 1573/r - (-2)/8*1?
10
Calculate the smallest common multiple of (198/10)/(264/(-880))*4/(-6) and 2148.
23628
Let c = 1446/91 - 96133/5460. Calculate the common denominator of c and 6 + (-182)/39 - (-78)/(-96).
240
Let y = 556/41 + -110941/8323. What is the common denominator of y and 20/551?
3857
Let d = 72351754351/54 - 1339917349. Let k = 70044 + d. Calculate the common denominator of -64/9 and k.
54
Suppose -4*d + 2*x = -1300, -2*x - 2055 = -5*d - 431. What is the smallest common multiple of 864 and d?
2592
Let x be (7876/9)/(50/(-15) - -4). Let q = -1327 + x. What is the common denominator of (4 - 2) + (-213)/100 and q?
300
Let k = 4/2355 + 29911/414480. Let l = -9100919/132 + 68946. Find the common denominator of k and l.
528
Let y = -3485 + 3512. What is the least common multiple of y and 12/(-42) + (-506)/(-7)?
216
Let w(t) = -t**3 - 12*t**2 + 16*t + 43. Let d be w(-13). Suppose -v + 5*x + 28 = 0, -d*v + 2*v - x = -67. What is the least common multiple of 15 and v?
165
Let w be ((-146184)/11187)/(-4) + 1. Let o = w + 2/339. Let v = -2069/4 - -538. Calculate the common denominator of o and v.
44
Let l = -1788/59 + 134195/4543. What is the common denominator of l and 53/2?
154
What is the common denominator of (-13 - 424/(-32))*97 and (-21)/216*-1*19?
72
Suppose -2*c + 27 = 5*v, -v + 6 = 9. What is the least common multiple of 70 and 1353/c + 6/(-14) + -1?
630
Calculate the common denominator of ((-192)/20064)/(4/118) and 8/209.
209
Let r = -3147 - 1532. Let p = 126313/27 + r. Calculate the common denominator of p and ((-3097)/(-285) + -11)/((-16)/290).
108
Let y be (-48)/(-72)*(-2 + 5)*3. Suppose -y*u = 7*u - 793. Calculate the lowest common multiple of u and 7.
427
Let s be ((-16)/148)/((-76)/(-6)). Let z = 148930141/14366508 + -48987/6812. Let o = s + z. What is the common denominator of 83/8 and o?
24
Calculate the common denominator of -59/15 and 2/(-84)*(700/189)/2.
2835
Suppose -23 + 17 = -2*q. Suppose -10*k + 47 + q = 0. What is the lowest common multiple of 60 and k?
60
Let u = 1/3586 - 13209/21648682. Let n = 619/31647608 - 4060154048147/573169828488. Let j = u - n. Find the common denominator of -21/22 and j.
132
Suppose 2*v = 5*d + 358, 2*d + 2*v + 202 = -d. Calculate the common denominator of (-44)/50*(-85)/(-119)*14 and 5/(-25) + 136/d.
35
Suppose 11*o = 5*w + 8722, -11*w = 4*o - 14*w - 3174. What is the least common multiple of 64 and o?
6336
Calculate the common denominator of ((1452/81)/2 - 9)/7 and 23/1386.
4158
Suppose -73*l = -733 + 222. Let t = 5 + -5. Suppose 0 = 5*c - 4*r - 19, -2*r - 5 = -c - t*r. Calculate the lowest common multiple of l and c.
21
Let j = -1702/5 - -332. Find the common denominator of j and -52/11.
55
Suppose 15 = 5*j, 200 = 4*v - 5*j + 11. Suppose -180 = -4*c + 2*k, -2*k = -4*c - 6*k + 180. Let t = v - c. Calculate the least common multiple of 45 and t.
90
Let j = -19792/455 + -1/910. Let m = 34 + j. What is the common denominator of (2/(-7))/((-3)/21) - 18 and m?
2
What is the common denominator of -113/320 and -1 + 1/3 - -23*(-4)/(-1920)?
320
Let o = -173 + -79. Let g = 263 + o. Calculate the smallest common multiple of -2 + -2 + (-68)/(-2) and g.
330
Let m(f) = 2*f**3 - 53*f**2 + 26*f - 6. Let o be m(26). Calculate the common denominator of -79/20 and -3 - 99/(-484)*(-70)/o.
220
Suppose 3*a - 94 + 4 = 0. Suppose -3*d - 2*p - 747 = 0, 0 = 2*d - 3*p + 2*p + 498. Let n = 267 + d. What is the lowest common multiple of a and n?
90
Let k(s) = 3*s**2 - 51*s + 256. Calculate the smallest common multiple of k(13) and 985.
19700
What is the common denominator of 69/308 and 7 - (-13)/(-11440)*5675?
1232
Let d(f) = -37*f - 343. Let y = -268 - -255. Calculate the smallest common multiple of 22 and d(y).
1518
Let a = 201/2902 - 598655/7553906. What is the common denominator of a and 121/114?
15618
Suppose -5*q + 245 = d, -4*d - 9 = -q + 40. Let j be (-2 + 1)/((-2)/(-10)). Calculate the least common multiple of (-5)/j - (1 + -1) and q.
49
Calculate the least common multiple of 378 and (2 - 12/15)*1680/112.
378
Let t(l) be the third derivative of 7/3*l**3 + 0 + 2/3*l**4 + 7*l**2 + 0*l. What is the lowest common multiple of t(5) and 20?
940
Suppose -4*d = -3*d - 2. What is the lowest common multiple of (0 + 2)*(15/10 + 1) and (-4 - -34)*1/d?
15
What is the lowest common multiple of 342 and ((-22)/(-14))/(-7 + 200/28)?
3762
Suppose 131 = 10*o - 39. Let q be 1*(2 + -3) + -6. Let c = o + q. What is the lowest common multiple of 9 and c?
90
Let f = -240874/21 + 11468. Find the common denominator of f and 35/1299.
9093
Suppose -169 = -5*h + 2*g, 0 = -h - 0*g + 3*g + 39. Let o(n) = -23*n - 11. Calculate the smallest common multiple of h and o(-1).
132
Calculate the common denominator of (133/(-85))/(3/1 + (-19)/(-19)) and 11/10.
340
Suppose -3*h - 4*y = -1394 - 361, 2925 = 5*h - 2*y. Calculate the least common multiple of 99 and h.
6435
Let w(s) = -2*s**2 + 11*s + 16. Let g be w(6). Suppose -2*h + g = -2*f, 4*h - h + 4*f = 15. Let y = 26 + 6. What is the lowest common mult