632
Suppose 26 = 4*o - 2*q, o + 3*o + 4*q = 56. Suppose 213 - 51 = o*t. Let v(p) = 2*p - 2. Calculate the least common multiple of t and v(6).
90
Let w = 3394481/23678451 - -1/84869. What is the common denominator of w and (21/(-2))/(60/(-24))?
1395
Let t(v) = 2*v**3 + 140*v**2 + 5*v + 358. What is the least common multiple of t(-70) and 224?
224
Let x = -7863 - -7983. Calculate the least common multiple of x and 2120.
6360
Let f = -181511/324 - -2241/4. Let v = f - -2137/1620. What is the common denominator of v and 58/45?
180
Find the common denominator of -67/2420 and (-62)/360 + 41/451.
21780
Let a(c) = 2 - c - 35*c**3 - c + c**3. Let r be a(1). Let f = -27 - r. What is the lowest common multiple of 5 and f?
35
Let a = 66 - 60. What is the smallest common multiple of a and 153?
306
Calculate the common denominator of -25/6318 and 4*63/36 - 40922/5832.
37908
Suppose 0 = 59*z - 19372 - 23462. What is the smallest common multiple of 462 and z?
5082
Let g(w) = 9*w - 180. Calculate the lowest common multiple of 27 and g(68).
432
Let x = -3511 + 31525/9. Let g = 8 + -9. What is the common denominator of g/((-9)/141) - 3/(-1) and x?
9
Let q(z) = z**2 - 198*z + 5907. What is the lowest common multiple of q(163) and -2 + 2 - 0 - -8?
808
Suppose 0 = -9*z + 10*z + 172. What is the smallest common multiple of 4 and 3/(z/(-40) - 4)?
20
Let u(i) = 73*i**2 + 22*i + 4. Let d be u(1). What is the common denominator of (-106)/96 + 4/6 and (-273)/d*42/(-28)*1?
176
Suppose -5*q = -4*m - q - 4, -3*m + 2*q = -2. Suppose 3*n + 11 = -2*p, -m*n = -4*p + n - 55. Calculate the lowest common multiple of p*4*9/(-30) and 4.
12
Let z = -12248 + 489887/40. Find the common denominator of -101/520 and z.
520
Let r = -629/12285762 + -14589902395009/116714739. Let g = r - -125006. Calculate the common denominator of g and 85/4.
228
Let u = 6835157/390 + -87632/5. What is the common denominator of -35/78 and u?
390
What is the lowest common multiple of 12 and 20 - 9 - (2 + -116) - -1?
252
Let k be ((-35)/56 + 0)*339/5. Let i be 7/(-70)*(-975)/(-2). Let u = k - i. What is the common denominator of 65/2 and u?
8
Let i = 75304765/12 - 6270487. Let j = i + -4922. Find the common denominator of j and -113/18.
36
Suppose 5*s + 143 = 4*l, -5*l - 109 + 278 = -3*s. What is the common denominator of -71/12 and ((-34)/(-85))/(l/(-255))?
48
Let x = -75638 - -32221693/426. Calculate the common denominator of x and 109/30.
2130
Calculate the common denominator of 14 + 2618/(-140) - 1 and -87/448.
2240
Let t be 4/(-2)*(9 - -4). What is the common denominator of (2/8)/(7/26) and ((-20)/16)/(-4 - 101/t)?
42
Suppose 4081*k - 4074*k - 980 = 0. What is the lowest common multiple of k and 77?
1540
Let y = 429430/411493 - 2/17891. What is the common denominator of y and -54/5?
115
What is the common denominator of (-336)/106 - (-6 + -19 + 21) and -51/1166?
1166
Let y = 17369/7320 - -2/915. Let c = 20 - 21. Calculate the common denominator of y and (-158)/128*-4 + c + -1.
16
Suppose 2*o - 13662 = -2*s, s - 56*o + 52*o = 6806. Calculate the lowest common multiple of s and 6.
20478
Suppose -26 = -s + 5*s + 5*i, -2*s + i - 6 = 0. Let c be (-2 + 3 + 4)/(s/(-20)). Suppose -11 = -4*q + c. Calculate the lowest common multiple of 10 and q.
90
Suppose 100*l = 98*l - 24. Let w = 6 - l. What is the least common multiple of w and (-8)/(-6)*18/3?
72
Suppose 0 = 2*t + 202 - 26. Calculate the common denominator of (-2)/4 + 134/(-12) and ((-1414)/t - -4) + (-2)/(-11).
12
Let v = -27761/12 - -2319. Suppose 6*y - 10 = 4*y. Find the common denominator of 8/300*y*-29 and v.
60
What is the common denominator of (5 - (-1243)/(-264))*(-204)/100 and -19/440?
2200
Let m be 11/((-44)/40)*-1. Suppose -4*c - 14 = m. Calculate the least common multiple of (0 + -1)/(c/30) and 4.
20
Suppose -268*x = -3*g - 272*x + 45, 0 = 3*g + x - 36. Calculate the least common multiple of g and 344.
3784
Let l = -5 + 12. Let r(d) = 2*d + 33. Let m(z) = -2*z - 34. Let a(v) = l*r(v) + 6*m(v). What is the smallest common multiple of 3 and a(4)?
105
Let m = 59 + -60. Let h(d) = 11*d**2 + 5*d + 5. Calculate the smallest common multiple of h(m) and (15/10)/(6/8).
22
Suppose 5*s + 5*x + 305 = 0, x = 3*s - x + 188. Let v = s - -90. What is the common denominator of v and 18/41?
41
What is the common denominator of (11 - (-19888)/(-2016)) + (-6)/7 and 61/3284?
29556
Let x = -1/151 - -14045/302. Let j be 546/(-27) - 2/(-9). What is the common denominator of x and ((-3)/(-18))/((j/(-162))/2)?
10
Suppose 0 = -56*c + 60*c - 4. What is the smallest common multiple of c - -5 - 0 - 1 and 35?
35
What is the lowest common multiple of 374 and 9 + -2 + -15*22/110?
748
Let y(z) = z**2 - 17*z - 133. Calculate the least common multiple of y(-7) and 105.
105
What is the common denominator of 4/(-94) + (-1375752)/(-13960128) and 11/3978?
15912
Let y = 217/351 - 2479/351. Suppose -4*q + 3*q = -5*i - 1, 4*q = 5*i + 34. Find the common denominator of y and q.
9
Let u = 89/113 - -13037/3390. What is the common denominator of 83/135 and u?
270
Suppose -u = 3*g - 11507, 5*g - 56602 = -4*u - 10567. Calculate the lowest common multiple of u and 11.
126610
Let f be 69139/42 - 4/(-3). Let c = f + -1729. Let n = 211/3 + c. Calculate the common denominator of n and 53/25.
150
Suppose -5*h = -2*b - 0*h + 1, -2*h = -b + 2. Let x(o) = -o**3 + 9*o**2 - 4*o - 20. What is the lowest common multiple of x(b) and 2?
12
Let m = -103 - -122. Calculate the common denominator of 61/10 and (18 - m)/((-3)/22*-34).
510
Let x be (-2345)/3 + (-1)/3. Let o = 1306 - x. Let n = o - 25073/12. Find the common denominator of n and 5/14.
84
Let m = -31702/9 - -3525. Let u be ((-1516)/390)/(4/6). Let p = u - -3/13. Calculate the common denominator of m and p.
45
Calculate the common denominator of 11550/90592 - (-7 - (-675)/95) and 77/40.
11920
Suppose -3*f + 6*f - 1799 = -4*c, 0 = 3*c + f - 1348. Suppose -1467 = -5*l - w, -3*l + 4*w = -445 - c. What is the lowest common multiple of 8 and l?
1176
Find the common denominator of (-778)/(-660) + 297/(-990) and 95/3036.
3036
Let l be (25/3)/(1/(-6)). Suppose -44 = 3*j + 4*x + 70, 0 = 5*j + 4*x + 206. Let p = j - l. What is the lowest common multiple of p and 136?
136
Let h(a) = 8*a + 172. Let q be h(0). What is the common denominator of (-2 - (-131)/(-6)) + -1 and (0 - (-214)/(-60))/(q/258)?
60
Let i = -136/3 - -191/3. Let s = -2380343/44 + 54101. Find the common denominator of s and i.
132
Let r = -233 - -268. Find the common denominator of 54/95 and -4 + 364/r - -4.
95
Calculate the common denominator of 28/185 and (4 + -16)/((11/(-33))/((-30)/(-1809))).
12395
Let f be ((-12)/(-15))/(-4) - 492369/180. Let l = f - -2734. What is the common denominator of 71/48 and l?
48
Let n be (-2)/8 + (-2483)/52. What is the common denominator of 1775/375 - 3*2 and (-196)/n + (6 - 2)?
60
Suppose -201 - 32 = -4*r - c, -2*c = -3*r + 183. Suppose -14*i + 25 + r = 0. What is the lowest common multiple of 11 and i?
66
Suppose 0 = -33*q + 31*q + 10. Let u(y) = y**3 - 4*y**2 + 3*y - 25. What is the smallest common multiple of u(q) and 45?
45
Let v be (-4 - 1)/1 - (0 + -2). Find the common denominator of 146/20 + v + 3/(-3) and -9/37.
370
Let q be (-1132)/9 + (-2)/9. Let z = q - -1389/11. Let w = 1163/2 + -571. What is the common denominator of w and z?
22
Let m = 1771 - 10517/6. Let r = 84 + -81. Calculate the common denominator of m and ((-395)/30)/(12/r - 5).
6
Suppose 2*i = a - 24 + 38, 2*a + 4*i = 12. What is the common denominator of -33/34 and ((-14)/(-4))/(1*a/(-11))?
136
Suppose -3*p + 122 = -4*m - 322, 0 = 2*m - p + 220. What is the smallest common multiple of -4 + (6 - m/(-20))*15 and 2/6 + (-46)/(-6)?
40
Let h(x) = -7*x**2 - x + 5. Let q be h(-9). Find the common denominator of ((-6)/21)/(4/q) and 6/(-20)*(-133)/(-114).
20
Let h(q) = 10*q**3 + 2*q**2 - 2. Let n be h(-1). What is the common denominator of (-4700)/(-250)*(-2)/(15 - -1) and (-6)/n*-1 + (-21088)/1920?
60
Suppose -42*a - 3*s - 39 = -39*a, 0 = -3*a - 5*s - 47. What is the common denominator of -3/88 and ((-405)/12)/3 + (a - -9)?
88
Let s = -126129 - -126145. Calculate the least common multiple of (-25 + 0)*(-16)/10 and s.
80
Calculate the common denominator of ((-804)/(-56))/(-54*1/(-21)) and -27/40.
1