
308
Suppose 25*q + 70496 - 192521 = 0. Let n = 429469/88 - q. What is the common denominator of -26/121 and n?
968
Let h be (-3 + (-80)/(-30))/((-10)/82941). Let z = h - 2767. Find the common denominator of z and -67/14.
70
Let u be (55/(-20))/(-11) + (-706)/3592. Let y = -17127/7184 - u. Calculate the common denominator of -9/20 and y.
80
Suppose 19*f - 22*f = 0. Suppose -3*c - o + 39 = f, 11*c = 10*c - 3*o + 21. Let x(a) = a + 22. What is the lowest common multiple of x(0) and c?
132
Suppose 12 = 11*y - 8*y. Suppose -48 = -y*h + 5*j + 32, 40 = 2*h + 3*j. What is the lowest common multiple of h and ((-3)/(-2))/(1/36)?
540
Let r(j) = 3*j**2 - 9*j + 8. Let w be r(6). Suppose -5*a + w = 17. Calculate the lowest common multiple of (0/7 - -1)*3*7 and a.
63
Suppose 0 = -4*q - 3*c + 24347, -241 + 12365 = 2*q - 4*c. Calculate the least common multiple of 1520 and q.
6080
Let h = -1029 + 2827. What is the common denominator of -11 + 1170/105 - h/(-2016) and 139/54?
432
Find the common denominator of ((-23)/(1265/(-2)))/(3 - 143/40) and 95/184.
2024
What is the common denominator of -109/3630 and (252/(-24)*1 - -13)*(-42)/4840?
14520
Suppose -5*k + 11*h - 6*h = 565, 0 = 3*h - 3. Calculate the common denominator of (-14)/6*(-32)/k and -6/5.
15
Let u(i) = i**2 - 14*i + 25. Let g be u(12). Let c be (g - 3/(-15))/(2/5). What is the common denominator of 53/9 and ((-10)/(-54))/(-1 + c + -3)?
27
Let r = 4512/13 - 242543/702. Let n = 17/1159 - 145181/20862. Find the common denominator of n and r.
54
Let q = -16 - -46. Suppose 4*u - 16 = -2*t, -3*u - t - 2 + 13 = 0. Calculate the smallest common multiple of q and 5 - ((-12)/u)/(-4).
60
Let z = -81685/267804 + -4/7439. Calculate the common denominator of z and -23/456.
1368
Suppose -144*f = -57*f - 870. Calculate the smallest common multiple of f and 240.
240
Calculate the smallest common multiple of 6*9/(-2)*(-288)/54 and 248.
4464
Let f be -1 + 2 + (-1966)/(-8). Let b = f + -2001/8. Let p = 2/37207 - 967400/334863. Find the common denominator of b and p.
72
Let a = -210 + 220. What is the common denominator of (2052/80)/(-19) + (-4)/a and 13/18?
36
Let b = 40 - 46. Find the common denominator of 9/55 and 218/(-240) + (-2)/b.
440
Let y = 183 - 7687/42. Let m be 2/((-6)/(-9)) - (5 + 3). What is the common denominator of y and 0 + m + 8 - (-214)/(-24)?
84
Let r = -1772 - -1872. What is the lowest common multiple of 200 and r?
200
Find the common denominator of -97/238 and 1192/10710 - 84/(-42630)*-29.
2142
Suppose 615 = 21*i - 1842. Calculate the lowest common multiple of i and 117.
117
Let d = -17861/3502 + 2/8755. Suppose 1085 = k + 4*k. Calculate the common denominator of d and ((-682)/k)/((2/(-7))/2).
10
Let j = -899 - -914. Suppose -q - 4*v = -12, 3 = -q + 4*v + j. What is the lowest common multiple of 12 and q?
12
Let f(r) = -r**2 + 9*r - 17. Let g be f(2). What is the smallest common multiple of 84 and 1/g*28*(-1056)/64?
924
Calculate the common denominator of -79/22 and (((-2)/1)/(-8))/((-10)/((-6180)/(-51))).
374
Let h = 23896 - -8015. Let y = h - 1723147/54. Calculate the common denominator of 19/36 and y.
108
What is the common denominator of ((26100/(-4536) - (-1)/9)*2)/30 and -113/40?
840
Calculate the common denominator of (33/65142)/(2 - (-57)/(-24)) and 107/1316.
11844
Suppose 0*q + q + 59 = -4*f, 5*q + 10 = -f. Let w = 18 + f. Suppose -w*x = i + 14 - 7, 3*i + 4*x + 6 = 0. What is the smallest common multiple of i and 8?
8
Let g = 13562201971 - 912234391120964/67263. Let c = g + 2/3203. What is the common denominator of c and -61/28?
84
Let n be ((-30)/9)/((-1)/(-1365)). Let j be n/12 - 1*4/(-6). Let y = 401 + j. Calculate the common denominator of y and 35/22.
22
Let r(b) = 3*b**2 - 10*b - 22. Let t be r(6). Suppose 36 = 2*h + h. Let a = t - h. What is the lowest common multiple of a and 18?
126
Calculate the least common multiple of 128 and (-680)/17*(-14)/35.
128
Let d = 6 - 10. What is the common denominator of 20/18 - (-7 - (-11 - -2)) and (0 - d) + (-50)/(-45)?
9
Suppose 3*m - 6*h = -11*h + 69, 5*m = -h + 137. Calculate the least common multiple of m and 582.
8148
Suppose 0 = 5*q - 25, 0 = -0*a - 4*a - 3*q + 491. Let p = a - 87. Let v(o) = 4*o**3 - 4*o**2 + 2*o + 2. Calculate the lowest common multiple of p and v(2).
352
Suppose -u - 1 = -4*w, w + w = -5*u + 17. Let p be 1*(-5 + w + -2). What is the common denominator of 28/p + 5 - 37/2 and -99/38?
114
Suppose -1672 = 5*q - 872. What is the common denominator of 65/33 and ((-19)/q)/((-153)/102)?
2640
Let c = 5/1668 - 6767/2813916. Find the common denominator of 5/28 and c.
6748
Let z(m) = 2*m**2 + 33*m + 10. What is the lowest common multiple of 405 and z(-25)?
11745
Suppose -t = 5*t + 24. What is the least common multiple of 6 and 382 + (-4 - (t - -2))?
1140
Let w = 81551791/906 + -90013. Calculate the common denominator of w and 125/18.
2718
Let d = -3642929186647/916459638 - 716/2399109. Let j = d - -3975. Let o = 25597/1146 + j. What is the common denominator of o and 11/17?
51
Let m(l) = -3*l - 10. Let h be 0*(4 + -5) - -46. Suppose 7*g + 4*s + 48 = 10*g, 2*s = -2*g + h. What is the smallest common multiple of g and m(-10)?
20
Suppose 29*n - 14916 = 35*n. Let p = n + 14963/6. What is the common denominator of p and 43/2?
6
Let f = -26 + 30. Calculate the common denominator of ((-2)/20)/(24/885) and (f - 5)*(106/36)/(-1).
144
Suppose -206 = -5*b - 76. Suppose -4*p + p + 21 = 0. Let g = p + b. What is the lowest common multiple of 33 and g?
33
Suppose -r - 11 = -y, 0*r - 52 = -5*y + 2*r. Let d(g) = 8*g**2 - 122*g + 42. Calculate the smallest common multiple of d(16) and y.
690
Suppose r = n - 0*r + 5917, 5*n - r + 29573 = 0. Let z = -148332/13 + 1352701/78. Let i = n + z. Find the common denominator of i and -87/10.
30
Suppose 9*y = -3*y + 17592. Calculate the lowest common multiple of 2 and y/34 - 24/204.
86
Suppose 34*s - 3916 = 3378 - 2398. What is the smallest common multiple of s and 6?
144
What is the common denominator of (2 + 291/(-138))*(-395)/(-50) and -5/56?
1288
Suppose i - 6*i = -2*z - 48, -5*i - 2*z = -32. Suppose 514 + 1306 = -7*p. Let l = p + 268. Calculate the smallest common multiple of i and l.
8
Let f = -4123 + 4131. What is the lowest common multiple of 1789 and f?
14312
Let g = 2021 - 2006. What is the smallest common multiple of g and 106?
1590
Suppose 32 = 4*b - 4*z, -21 = 5*b - 3*z - 59. What is the smallest common multiple of 28 + (0/1)/((-30)/15) and b?
28
Let o = -2359/276 + 29/46. Suppose 3*s - 202 - 113 = 0. Find the common denominator of 1546/84 - (10 - 990/s) and o.
12
Let z = 3913 + -3889. What is the lowest common multiple of 306 and z?
1224
Suppose 3989 = 101*q - 2071. Let x(d) = -d**2 - 12*d + 16. Calculate the smallest common multiple of q and x(-11).
540
Let d(h) = -5*h**3 + h + 14*h**3 - h**2 - 3*h + 3*h. Let g(i) = -83*i + 437. Calculate the lowest common multiple of d(2) and g(5).
770
Let k = -1358842/11297 - -11/1027. Let x = k - -121. Find the common denominator of x and -91/16.
176
Let a = -59/834 - -12059/49623. Calculate the common denominator of a and 13/21.
714
Let s = 532 - 526. Calculate the common denominator of 51/7 and 1975/(-75) - (-10)/s.
21
Let n(w) = -w**3 + 6*w**2 + 5. Let v be n(6). Suppose v*f + 134 = 149. Calculate the smallest common multiple of (28/6)/7 - 237/(-9) and f.
27
What is the least common multiple of 506 and 3/(-6)*20 - -378?
4048
Let i be (2/(-5))/((-12)/60). Suppose 2*z = -i*b + 12, -3*z + 30 = 5*b + z. Calculate the smallest common multiple of b and (5 + 84/(-18))*24.
24
What is the common denominator of (-4395 - -4394)/(1 + 768/34) and 13/2406?
2406
Suppose 2*y + 3*y - x + 17 = 0, 0 = -2*y - 2*x - 2. Calculate the lowest common multiple of 2/(-6) - (1448/(-24) + y) and 90.
630
Suppose 2908 = 338*m - 64016. Calculate the lowest common multiple of 363 and m.
2178
Let y be ((-1)/(-462))/(88/16). Let s = y - -13543/22869. What is the common denominator of (-5)/((-135)/(-327)) - -4 and s?
27
Suppose -4*v = 2*k - 680, -2*v = -3*v - 4*k + 170. Let d be -2*((-24)/v - -1). Let y = d - 1351/510. What is the common denominator of -28/33 and y?
330
Calculate the lowest common multiple of ((-10)/(-45)*-3)/(-1 - 0)*696 and 18.
4176
Suppose 6*s - 13*s = -315. Suppose -s*