.
1308
Let w(i) = i**3 + 5*i**2 - 2*i - 4. Let b be w(-3). Let q = b - 83. Calculate the common denominator of (q/60)/(-7) - (-6)/30 and -95/22.
220
Suppose 5*m - 2*h - 49 = -5*h, 0 = 2*m - 4*h - 30. Let r = -2 + m. What is the common denominator of (-6)/r*(-329)/28 and 27/8?
24
Let k = -112 - -110. Let h(u) = 2*u**2 - 12*u - 2. Suppose -6*j = -135 - 27. What is the smallest common multiple of j and h(k)?
270
Let j = -108 + 111. Suppose 4*p = -j*m - 214, 5*p + 61 = -m - 212. Let b = 59 + p. Calculate the lowest common multiple of b and 95.
380
Calculate the common denominator of -77/885 and (-515)/618*(-858)/90.
5310
Let j be (-124)/(-6)*18/4. Let m(h) = -3*h**3 + 2*h**2 - 3*h - 16. Let z be m(-3). Let u = j - z. Calculate the least common multiple of 22 and u.
22
Let u = -101221/14744 + 627/97. Find the common denominator of 15/332 and u.
12616
Let g = 134 + -118. What is the smallest common multiple of g and (20 - 14)*1/1?
48
Let o = 102 + -103. Calculate the common denominator of -149/30 and o/4*(-1450)/135 + 0.
270
Suppose 0 = -4*m - 4*a + 112, 3*a + a = 5*m - 140. Suppose 2*d = -2*d + q + 27, 3*d = 4*q + 4. What is the lowest common multiple of d and m?
56
Let c = 9 + 1. Suppose 0 = 6*l - 4 + c. What is the common denominator of (l/56)/((-12)/(-16)) and -23/22?
462
Suppose -y = -4*g - 6, -2*y + 5*g - 2 = -14. Let t(z) = z**2 - 28*z + 138. What is the smallest common multiple of t(y) and 57?
114
Calculate the common denominator of (-8)/(-60) + (-1096)/(-288)*(-6)/40 and 69/15220.
60880
Let f = -124 - -126. Suppose -5*j - 2*d = 2*d - 50, 2*d = -f*j + 18. What is the lowest common multiple of j and 8?
56
Let g(k) = k**3 - 13*k**2 + 57*k - 355. Calculate the lowest common multiple of g(11) and 11.
330
Calculate the common denominator of -14/115 and (2610/288 - 9)*(-2)/(138/(-171)).
1840
Find the common denominator of 161/390 and (3/27)/(2860/1298).
1170
Suppose 4*w - 73 = 3*m - 250, -3*w - 159 = 3*m. Let q(j) = -12*j - 2. Calculate the common denominator of w/15 + -1 + (6 - 3) and q(4).
5
Let k = -115 + 117. Suppose k*n - 15*n + 286 = 0. Calculate the smallest common multiple of n and 126.
1386
Let m = -4/2059 + 63877/24708. What is the common denominator of 21/412 and m?
1236
Suppose 3*y + w = 2187, -37*y + 32*y + 4*w + 3662 = 0. Calculate the smallest common multiple of y and 38.
13870
Let q = 87677 + -24549633/280. Find the common denominator of -127/630 and q.
2520
Calculate the common denominator of (-34)/(-90) + 0 + 1 and (-265)/(-39) + -8*(-3 + 4).
585
Suppose 2 - 51 = 55*g - 434. What is the smallest common multiple of 1/(-2) - (-9)/6 and g?
7
Suppose -8*t + 5*t = -18. What is the lowest common multiple of (-4)/3 + 8192/384 and t?
60
Let v be -5 - (4 + -5 - -11). What is the common denominator of -85/18 and ((-215)/v)/((-44)/6)?
198
Let g(f) = -25*f**3 + f**2 - 4*f - 1. Let s be g(2). Let m = 239 + s. Calculate the least common multiple of 9 and m.
306
Calculate the common denominator of -2*3/(-468)*(-1)/13*107 and 71/4.
2028
Let f = -204 + 152. Calculate the least common multiple of f/(-1) + (12 - 8) and 35.
280
Let h = -425 + 331. Let q = -72 - h. Calculate the smallest common multiple of q and 2.
22
What is the common denominator of ((-53)/(-1))/((-756)/2) and (138/690)/(12/35)?
756
Let n = -198 + 210. Calculate the least common multiple of 56/7*n/8 and 24.
24
Let t = -289291/6 - -48089. Let g = 329/61 + -34561/244. Let a = g - t. What is the common denominator of -85/8 and a?
24
Let w(p) = p**2 + 21*p - 148. Let x be w(-27). Calculate the smallest common multiple of 2/x*2 + 574/49 and 42.
84
Let z = -8684 - -9668. Calculate the least common multiple of 10 and z.
4920
Let g(o) = -13*o + 697. Let s = 43 - 37. What is the smallest common multiple of g(-11) and s?
840
Suppose -82*l + 7971 = 139*l + 678. What is the smallest common multiple of l and 1878?
20658
Let m(v) = -v**2 - 10*v - 1. Let a(o) = -o**2 - 10*o. Let g(t) = 5*a(t) - 6*m(t). Let b be g(-7). Let l = 7 - b. What is the lowest common multiple of 8 and l?
88
Suppose 3*h - h = 350. Let s = 20357/1380 - 1/690. What is the common denominator of s and h/(-686)*1/5?
196
Let a be (-32)/(-128) + ((-499)/(-4) - -1). Let u be 5 + -2 - 9138/a. Let r = u + 221/3. Find the common denominator of r and 18/11.
77
Let h = -3081471288356/369666847 - -6/11924737. Let c = h + 8335. What is the common denominator of -39 and c?
31
Let h(b) = b**3 - 123*b**2 - b + 3759. What is the least common multiple of h(123) and 606?
3636
Suppose -5*h = -25, -y - 6*h = -9*h - 91. Suppose -2*v = -4*x - 64, -4*v + v = -x - y. Calculate the lowest common multiple of 28 and v.
252
Calculate the smallest common multiple of 532 and ((-27)/(-45) + (-99)/(-135))*(-231)/(-4).
5852
Suppose 0 = -2*d + 4*t + 3*t + 2805, -5*d - 3*t + 7033 = 0. What is the least common multiple of 5 and d?
7030
Suppose 0 = -u + r - 273, r = 5*u + 611 + 750. Find the common denominator of (-148)/u - 2/(-4) and -87/4.
68
Let f(t) = 9*t - 2. Let b(y) = -5*y + 1. Let r(v) = 7*b(v) + 4*f(v). Let d(u) = -2*u**2 - 77*u + 125. Calculate the least common multiple of d(-40) and r(7).
30
Calculate the smallest common multiple of 3/(-30) + (-366)/75*1830/(-24) and 248.
744
Let d be (-19750)/4806 + ((-36)/3)/6. Let u = d - 4/2403. Calculate the common denominator of u and (-1)/(-4) + 723/(-36).
18
Suppose -5*l - 5*m + 370 = 0, -4*m + 158 = -113*l + 115*l. Suppose 4*j + 4*c - 80 = 0, 4*j - 5*c - 66 = -2*c. Calculate the least common multiple of j and l.
414
Let t(o) = o**2 + 16*o - 14. Let u be t(-17). Let r be (386/286)/(u/(-42)*6). Let f = -20/39 - r. What is the common denominator of f and -55/2?
22
Let j = 3228913/74 + -43633. Let m = -44585/6 - -7455. What is the common denominator of m and j?
222
Let s(q) be the third derivative of -q**5/60 - q**4/2 + 3*q**3/2 + 5*q**2. Let x = 928 - 922. What is the least common multiple of x and s(-7)?
132
Calculate the common denominator of -73/242 and (-170097)/(-38192) + (-1)/(-7) + -4.
1936
Let x(t) be the first derivative of -t**2/2 + 41*t - 95. Calculate the lowest common multiple of x(6) and 14.
70
Let s be -784004*(1 + 0)*2/138. Let q = 11362 + s. Find the common denominator of q and -48/7.
483
Let i = 403 - 493. Find the common denominator of (-455)/i + (-2 - 14/(-6)) and -121/20.
180
Let o = 11 - -15. Let c(b) = 32*b**2 - 792*b - 140. What is the least common multiple of o and c(25)?
780
Suppose -123*z + 13827 = -115323. What is the lowest common multiple of z and 3570?
17850
Let s = 3009 + -24155/8. Suppose 0 = 5*p - 374 - 76. What is the common denominator of s and (56/(-516))/(3*4/p)?
344
Let i(p) = -p**3 - 66*p**2 + 66*p + 181. Calculate the least common multiple of i(-67) and 93.
744
Let t(q) = q. Let l be t(11). Suppose 0 = -y + 18 + l. Suppose -y = -3*c + 4. Calculate the least common multiple of c and 7.
77
Let f(r) = -r**3 + 3*r**2 + 7*r - 7. Let t be f(4). Let q be t - 5 - 52678/(-80920). Let i = q - 2/2023. What is the common denominator of i and 36/11?
220
Let w(h) = 28*h**2 + 7*h - 2. What is the lowest common multiple of 88 and w(1)?
264
Let v = 78769/8424 + -794/81. Let w = -5625047/117 - -48077. Calculate the common denominator of w and v.
936
What is the least common multiple of 96 and (6/14 - (-349320)/280)*1?
1248
Suppose -6*g + 3*g = 4*w - 575, -3*g + 559 = -4*w. Find the common denominator of -79/266 and (-27)/g - 5/(840/(-1431)).
1064
Suppose -1125 = 2*a + 3*a. Let o = -219 - a. Calculate the lowest common multiple of o and 24.
24
Suppose -3*h - 3*h = -48. What is the least common multiple of (-55 + -2)*64/(-48) and h?
152
Find the common denominator of (-13)/1716*(-135)/(-69) and 101/14.
7084
Suppose 3 - 1 = h. Suppose -h*z - 10 = -7*z. Let p(c) = 8*c**2 + c + 1. Calculate the smallest common multiple of p(1) and z.
10
Let b(r) = -r - 2. Let u be ((-20)/26)/5 - (-9650)/26. Suppose -10*k + u = 121. Calculate the lowest common multiple of k and b(-8).
150
What is the common denominator of 25/12 and 7/((-28)/36) + (-279756)/(-30888)?
1716
Calculate the common denominator of (-36421)/1290 + 19 - (8/6)/2 and 107/1550.
1550
Suppose 9*w = 13*w + 20. Let i be (-4)/2 - (-160)/w. Let d = 12 - i. Calculate the least common multiple of d and 2.
46
Let s = -1317 - -1333. Suppose -153 