 (-6)/(-21) - 1460/(-3465) and g.
297
Let d(j) = j**2 + 5*j - 12. Let x be d(-7). Suppose -2*u + t - x = 0, -2*u - 13 + 7 = -2*t. Let f(m) = m - 7. What is the least common multiple of f(10) and u?
3
Suppose 35*p - 36*p = 4*s, 4*s - 16 = 3*p. What is the smallest common multiple of (-2)/8 + 781/4 and s?
195
Suppose o = -3*f + 15, 7*o - 55 = 2*o + 5*f. Let t(q) = 5*q - 48. Let i(u) = u**2 + 5*u - 4. What is the least common multiple of t(o) and i(-8)?
60
Suppose 0 = -5*t + t - 344. Let p = t - -81. Find the common denominator of 17/10 and 75/(-35)*p/(-6).
70
Let v = 102 + -90. Suppose 0*q - c = q - 21, 2*c = q - v. What is the smallest common multiple of 162 and q?
162
Calculate the common denominator of 79/405 and 5/(25/(-40)) + 1040/135.
405
Let c = -48103/2099454 + 5/10878. Let m = c - -26545/4632. Calculate the common denominator of m and -53/27.
216
Let h = 3 - 1. Let f(r) = 5*r + 2. Calculate the least common multiple of f(h) and ((-126)/3)/(3210/2889 - 38/18).
84
Calculate the common denominator of (-538)/540 + (-24)/(-12) + (-18)/10 and -97/6.
54
What is the smallest common multiple of (150 - 143) + 5/((-5)/(-1538)) and 927?
4635
Let d(z) = z**3 - 22*z**2 - 40*z - 57. Let l be d(24). Suppose -5*w = -3*m - l, -2*w + 3*m - 81 = -5*w. What is the smallest common multiple of 36 and w?
108
Suppose -3320 = -1594*j + 1511*j. Calculate the least common multiple of j and (2 - 5/2)*-100.
200
Let s(b) be the first derivative of -7*b**2/2 + 128*b - 331. Calculate the least common multiple of s(8) and 64.
576
Let d(z) = 66 - 127 + 73 - 2*z**2 - 22*z. Let c be d(-12). What is the common denominator of 44/3 and ((119/(-24))/(-1))/((-27)/c)?
54
Let n = 2/621 + -29605/1242. What is the common denominator of (2 - 106/(-36))/(-3) and n?
54
Suppose -w - 3 = -2*w. Let k(u) = 2*u**3 - u**2 + u. What is the lowest common multiple of k(w) and 6*(0*(-3)/18 + 3)?
144
Let u(y) = -3*y + 25. Let x be u(14). Let b(v) = v**2 - 9. Let l be b(-6). Let i = x + l. Calculate the least common multiple of i and 10.
10
Let d be (-222222)/168 - (21/(-12) - -1). Let n = d - -21163/16. What is the common denominator of -49/32 and n?
32
Let m(h) = h**3 - 10*h**2 - 14*h + 30. Let d be m(11). Calculate the common denominator of -12/19 and (-2 - -1)*d/(-25).
475
Suppose -3*w = -5*n - 0*w - 94, 0 = -n - 4*w - 28. Calculate the lowest common multiple of 2 and n/(1*(-16)/72).
90
Suppose -6*s = 21 - 33. Suppose k = s*l - 71, 3*k - 46 = l - 2*l. Calculate the smallest common multiple of l and 9.
333
Let q(b) = -6*b + 1. Suppose 1374 = 16*i + 1198. What is the least common multiple of i and q(-1)?
77
Let z = -1395584/3 - -25056315007/53862. Calculate the common denominator of 13/4 and z.
35908
Let s be 15/24*(-53166)/(-45). Let t = -732 + s. Let c = 23389/28 + -3329/4. What is the common denominator of c and t?
84
Let q be 5*((-42)/40 + (-70)/(-56)). Let o(j) = 112*j. Calculate the lowest common multiple of 48 and o(q).
336
Let b = -1/40 + -73/24. What is the common denominator of b and 1341/(-459) - (-3 - 0)/1?
255
Let n = -275 + 279. Suppose -2*y = 2*d - 218, -3*d + n*y - 1 + 335 = 0. Calculate the lowest common multiple of 77 and d.
770
Suppose 77 + 77 = -7*r. Let l = 0 + -2. What is the lowest common multiple of r/l - (-20)/(-4) and 28?
84
Suppose -5*a + 4 = -56. What is the smallest common multiple of (5 - (-306)/(-54)) + (-2 - (-35)/3) and a?
36
Find the common denominator of ((-10)/1 + 120294/12096)/((-2)/(-6)) and 31/4000.
28000
Calculate the common denominator of -26/33 and (236/(-1730))/((-132)/275*5).
11418
Calculate the common denominator of -125/336 and (18/(-27) + 0)/(56/(-1029)).
336
Let l = -2647/4 + 653. Let m be ((-1)/(-3))/((-1)/(-3)). What is the common denominator of l and 2/6 - (m + 466/300)?
100
What is the common denominator of 1/15 - (8 - 11529/3240) and 75/2?
8
Let f = 1388 - 11015/8. Suppose -k + 2*k - 18 = 4*s, 3*s + 6 = 0. Calculate the common denominator of f and 7/76*(4 + k).
152
Calculate the common denominator of 88/60*20*2/24 and 97/1064.
9576
Suppose 5*k = 35, -18345 = -15*g + 5*k - 4130. Calculate the least common multiple of g and 1292.
32300
Let i(g) = -224*g - 3354. Let q(s) = -s**2 - 8*s - 3. Let p be q(-6). Suppose 0 = 5*a - p - 6. What is the smallest common multiple of a and i(-15)?
6
Let a be ((-56)/6)/(6/(-9)). Let k be ((-12)/a)/(5 - 36/8). Let x = -79/42 - k. What is the common denominator of x and -7?
6
Let p = 2/35 + 1349/280. Find the common denominator of p and 1/288*15/(-10).
192
Let s = -1801/2 - -951. Let t = 1745/164 - -558/41. Find the common denominator of t and s.
4
Let k(h) = h**3 - h**2 + 3*h + 34. What is the least common multiple of k(0) and 3/((-6)/(-2)) - -1?
34
Let a be ((-14280)/(-175))/((-4)/(-10)). Let k = 6731/33 - a. Find the common denominator of -32/21 and k.
231
Let s = 35 - 26. Let i(y) = y**2 + y - y + 12*y - 2*y + s. What is the common denominator of i(-7) and 57/4?
4
Let f(x) = 52*x + 78. Let n be f(-6). Calculate the common denominator of (-2)/(-14)*91/n - 0 and 62/21.
126
Let l = 9519 + -209315/22. Let b = 82624434231/1864 - 44326415. Let u = 4/699 - b. Calculate the common denominator of l and u.
264
Let q be (-45)/(-15) + 1*-3. Suppose a + z = 6*a - 202, -3*a + z + 122 = q. Calculate the least common multiple of 60 and a.
120
Let s be -27*(6 - (-198)/27). What is the common denominator of -19/25 and 79*6*(-3)/s?
100
Calculate the lowest common multiple of 182 and (2/(-10) - (-174)/270)*-3*-42.
728
Let y(v) = 110*v**3 + v**2 + 10*v - 9. What is the lowest common multiple of y(1) and 1/((-5)/100*-4)?
560
Let a be ((-366)/190)/((-2)/(-2344)*6). Let p = -1889/5 - a. Calculate the common denominator of (2 - 3)/(4/134) and p.
38
Let j = -140605868/48645 - -26014/9. Calculate the common denominator of 157/30 and j.
32430
Let k = -19861/10 + 1378/5. Suppose 0 = -5*c + 2*c + 3*w + 5052, 0 = -3*c + 2*w + 5048. Let d = k + c. What is the common denominator of d and -81/14?
14
Let f = 11636 + -11632. What is the lowest common multiple of f and 158/4 + 1/2?
40
Let f(p) = 2*p**3 + 167*p**2 - 98*p - 1044. What is the least common multiple of f(-84) and 396?
396
Suppose s - 4*a + 42 = 4*s, s + 5*a - 25 = 0. Suppose -3*q = 3*d - 0*d - 36, 5*d = s. Suppose q*p - 5*p - 45 = 0. What is the lowest common multiple of p and 3?
9
Find the common denominator of ((-40)/(-5) + (-620)/75)/(89/(-5)) and -47/17.
4539
Suppose d + 123 = 25. Let h = d - -987/10. What is the common denominator of 117/14 and h?
70
Let u = -13985 + 15203. What is the least common multiple of 2030 and u?
6090
Let u(a) = a**3 + 2*a**2 + 54*a + 352. Find the common denominator of u(-5) and (-1)/4 - (-319)/84.
42
Suppose 0 = -2*d + 4*d + 198. Let f = -98 - d. Suppose -2*l + 40 = 4*r, 4*r - 17 = -f. What is the smallest common multiple of 15 and l?
60
Let n = -859611/2926750 - -20/11707. Find the common denominator of n and 13/30.
750
Let v = -6088 + 9428. Let l = -116911/35 + v. What is the common denominator of l and 37/63?
315
Let w = -7/730 + 17727/2555. Let q = -30910/17 - -5874923/3230. What is the common denominator of w and q?
1330
Let i be 2/4*((-8)/4 - -2). Suppose x - 3 = -i*x, -5*n - 4*x = -112. Find the common denominator of (36/25)/((-104)/n - -5) and -76/9.
45
Suppose 525 - 29 = 16*h. Suppose h*a + 36 = 33*a. Calculate the lowest common multiple of 24 and a.
72
Let u be -3769*2/(-10)*-5. Let i = u + 399523/106. Let j = 2357/954 + i. Find the common denominator of j and -76/9.
9
Suppose 6*b = 28144 + 92672. Let u = -36649/2 + b. Let f = 1766 - u. What is the common denominator of f and -39/5?
10
Let a = -411963 - -1633983/4. Let n = -3486 - a. Calculate the common denominator of n and 59/7.
28
Suppose -6*y - 34 + 904 = 0. Suppose -y = -8*i + 735. Calculate the least common multiple of 55 and i.
110
What is the common denominator of 64/55 and (507/66)/((-60)/(-40)) - 6?
165
What is the common denominator of (324/192 + -4)/((-75)/40*-2) and 21/3070?
18420
Let f(z) = -7*z**2 - 11*z - 30. Let n be f(-6). Let g = -188059/27 - -6964. What is the common denominator of g and (-1698)/n - 3 - (-4)/(-16)?
54
Suppose -636 = -3*i - 324. Calculate the lowest common multiple of 168 and i.
2184
Let f(u) be the third derivative of u**4/24 + 7*u**3 + 2*u**2 - 7. W