70
Let q(j) = 220 + 0*j - 4*j + 4*j + 5*j. Let p be q(0). What is the common denominator of -6 and 1/(-2) - 310/p?
11
Suppose 4*t - 87 = 22 + 19. Calculate the lowest common multiple of t and 1680.
3360
Let p(f) = -30*f - 328. Calculate the least common multiple of 2/8 + (-304)/(-64) and p(-11).
10
Let o be (-2 - 1)/((-12)/8). Let r be ((-16)/48)/(o/18). What is the lowest common multiple of -1 - (2 - (2 + (2 - r))) and 60?
60
Suppose 22*y = 51 + 15. Suppose 5*p + 4*d = y*d + 236, -3*p + 4*d = -160. What is the lowest common multiple of p and 10?
240
Find the common denominator of -1 - -754*(-5)/(-4032) and 25/1764.
14112
Let a = -7816 - -8200. Calculate the least common multiple of 3840 and a.
3840
Suppose 0 = -h + 2*h - 4. Let z = -12208 - -12244. Calculate the smallest common multiple of h and z.
36
Let v = -1123187/96 + 11700. Find the common denominator of 71/1632 and v.
1632
Let k be 0 - ((-128 - 0) + (-5 - -9)). Find the common denominator of 41/5 and ((-2)/(-5))/(k/2573).
10
Let c(b) = -4*b**2 + 20*b + 8. Calculate the least common multiple of 3662 and c(0).
14648
Let w(h) = h**2 + 34*h - 29. Let t be w(-35). Suppose -30*m + 27*m = -t. What is the least common multiple of m and 143?
286
Let i(w) = -7*w - 17. Let z be i(23). Let p = z - -145. Let a = p + 521/16. Find the common denominator of a and 27/56.
112
Let q = -131 + 156. Suppose 3*p = 3*h + 51, 0*h = -5*h - q. Calculate the common denominator of ((-291)/486)/(p/(-18)) and -7/6.
108
What is the common denominator of 59/2358 and (-15)/(-9)*27*4/(-8)?
2358
Let x = 17545/4 + -4404. Let a = 2/19879 + 496781/1928263. Calculate the common denominator of a and x.
388
Let g(w) = -w**3 - 31*w**2 - 56*w + 103. What is the least common multiple of 9800 and g(-29)?
88200
Find the common denominator of 101/30 and (-10018)/21420 + 47/846*8.
3570
Suppose -398*g + 381*g = -442. What is the common denominator of g and 9/764?
764
Let r = -103 + 107. Let h be 100/40 - (-62)/r. Suppose 3*n = h + 18. Calculate the least common multiple of n and 14.
84
Let l = 1515139 - 127226777/84. Let j = -3742/7 + l. Calculate the common denominator of 15/4 and j.
84
Suppose -w + 2 + 0 = 0. Suppose 33*j - 416 - 211 = 0. Find the common denominator of w/11*(3 - j) and -43.
11
What is the least common multiple of (115/23)/(-3 - -4) and 567?
2835
Suppose 535*l = 521*l + 2156. What is the smallest common multiple of 2 and l?
154
Suppose 2*i + 5*z - 543 = 0, -23*i = -17*i + 3*z - 1593. What is the smallest common multiple of i and 8?
264
Let i = 10/881 - -62461/7929. Let j = -48539/21294 + 2/1183. What is the common denominator of j and i?
18
Let x = -923/704 + 1/64. Let j be 2009/56*52/(-22). Let f = j + 820/11. Calculate the common denominator of x and f.
44
Let p = 4036637/102 - 39574. Find the common denominator of p and 145/264.
4488
Suppose 0 = -7*k + 2101 + 349. Find the common denominator of 1/45 and 680/k - (-1 - 14/(-10)).
315
Let h = -30/1169 - 39951/219772. Calculate the common denominator of 9/940 and h.
940
Let i = 2445 - 2169. Calculate the lowest common multiple of 10 and i.
1380
Suppose l = -2*l - 2*b - 594, 3*l - b + 585 = 0. Let p = l + 203. What is the smallest common multiple of p and 21?
21
Let f = -331301992781/28943124584 - -1/46087778. Let h = -28/157 + f. Calculate the common denominator of 29/16 and h.
16
Let x = 427 + -91. Suppose q = x - 3. Suppose q = 13*z + 138. Calculate the least common multiple of 30 and z.
30
Let w = 118996 + -1307942/11. Let x = w - 973/11. Let p = x + -191/66. What is the common denominator of -36/5 and p?
30
What is the common denominator of 86/105 and ((-59985)/1984 + 29)/((-1)/((-1)/30))?
13440
Let a = 1787 - 9004. Find the common denominator of a/(-1344) - (0 + 5) and -97/32.
192
Suppose 6*l = 14775 - 1359. What is the least common multiple of l and 10?
11180
Let k(c) = -c**3 - 15*c**2 + 11*c + 120. Let d be k(-7). Let y = d - -359. Calculate the smallest common multiple of (-368)/(-14) + (-2)/7 and y.
130
Find the common denominator of 107/110 and ((-3640)/464 - -6)/10.
6380
Let o = 5514 + -347363/63. Let l = 21053/2926 - -4/209. What is the common denominator of o and l?
126
Calculate the least common multiple of (-105840)/(-567)*(12 - 0) and 200.
11200
Let b(y) = -40*y - 872. Calculate the lowest common multiple of b(-23) and 120.
240
Let v = 419143/62643 - 3/5966. Let j = v + -5/14. Suppose -28*w + 110*w + 7222 = -75*w. What is the common denominator of w and j?
3
Suppose 2*v = -f - v + 6, 4*f + 3*v = 15. Calculate the lowest common multiple of (-2 - (6 + 0 + -28)) + 4 + 3 and (-5)/(f/9*-1).
135
Let k = 187 + -69. Let t = -58 + k. What is the smallest common multiple of 60 and t?
60
Suppose 0 = -2*b + 8, -2*u - 12 = -4*b - 52. What is the smallest common multiple of 1376 and u?
9632
Suppose -3*n + 3*d - 36 = 0, 3*n + 4*d = -31 - 40. Let u = 923 + n. Calculate the smallest common multiple of 6 and u.
906
What is the least common multiple of 539/98 + 5/10 and 466?
1398
Let k be 5 + 0 + 3/(143808/(-239698)). Let t = k - -804647/4577888. Find the common denominator of -49/22 and t.
4202
Let s be 14/140*228399/26979. Let l = 146/529 - s. Calculate the common denominator of 37/17 and l.
170
Let t be (-2*40674/16260)/(-2). Let x = -2/1355 + t. Calculate the common denominator of -29/124 and x.
124
Find the common denominator of (3/(82 - 1))/((-336)/1953) and 119/48.
144
Let h be (-107 - -2)*(-5973)/(-9). Let g = h + 14633693/210. Find the common denominator of 65/42 and g.
210
Let z = 503801/2883540 - -223/4369. What is the common denominator of -4/99 and z?
1980
Suppose 16*m = 12*m + 3*z - 1595, -5*m + z - 1991 = 0. Let b = m - -409. Calculate the least common multiple of b and 8.
88
What is the common denominator of -79/310 and (-3696)/(-231) - (-6089)/(-372)?
1860
Find the common denominator of -21/88 and (16/(-2560))/((-2)/(-365)).
704
Let c = 277129/23688 + -3740/329. What is the common denominator of c and -149/360?
2520
Let x = 2575531/2258112 - -2/35283. What is the common denominator of -55/2064 and x?
8256
Let g = 28/3905 + -133153/2776455. Find the common denominator of 67/711 and g.
711
Let j = 77 + -617/8. Let l = 6 + j. What is the common denominator of -1 + 2 - 508/40 and l?
40
Suppose -3*i + 13 = 3*o - 11, 4*o = -8. Let m = 660 + -618. Calculate the lowest common multiple of i and m.
210
Suppose -5*x + f = -x - 169, 5*f + 5 = 0. Let t be (-38942)/6 - (-12)/9. Find the common denominator of 101/20 and t/x*(-1)/111.
740
Let x = -43195/52 - -830. Let r = -7/57 - 713/228. Calculate the common denominator of r and x.
52
Let x = 115/2 - 679/12. Calculate the common denominator of x and 118/(-12) + (-70)/105.
12
Let q(a) = -18*a + 15. Let d be q(2). Let m = -18 - d. Suppose -80 = -m*b - 65. What is the least common multiple of 1 and b?
5
Let t = 145 - 865. Let c = t + 830. What is the least common multiple of 100 and c?
1100
Suppose 27*m - 7045 = 8*m + 3215. What is the least common multiple of 1140 and m?
10260
Let x = -1664 - -4438. Calculate the smallest common multiple of 133 and x.
19418
Let v be ((-34857)/(-10))/(-3) - 1. Let n = v - -1162. What is the common denominator of n and 6 + -2 + (5094/360 - 14)?
20
Let z = -16583/118854 + -1/3834. Find the common denominator of z and ((-4)/(-42))/(87/(-203)).
279
Find the common denominator of (-9)/(-232200)*171*(-22)/33 and 49/8.
8600
Calculate the common denominator of (91/(-45) - -2)/(-11 + 36145/3275) and -11/12.
216
Let q(r) = r**2 - 40*r - 10. Let u be q(31). Let m = -279 - u. Calculate the common denominator of m and -5/18.
18
Suppose -5*n + 242 = -158. Suppose 9*s + n = 11*s. What is the smallest common multiple of 18 and s?
360
Let m be 2/(-7) + (-8622865)/(-2128). Let a = -4054 + m. Let o = 1883/4 - 482. Find the common denominator of a and o.
16
Let k = 33 + 15. Let h = 17 - 31. What is the common denominator of -1*k + 8 + -7 and h?
1
Suppose 4*i + i = -10. Find the common denominator of -1 + i + (-129)/30 and ((-132710)/(-6924))/(1 + -1 - -1).
30
Let m = 281 - 249. Suppose 60*i - 56*i = m. Calculate the least common multiple of 6 and i.
24
Let v = 10915 + -229172/21. Find the common denominator of -123/238 and v.
714
Let v be (2126/4 - 0)*10. Let l be 479433/90 - 3 - 10. Let f = v - l. What