6*v**3 + v**2 - 8*v - 30. Let z be q(6). Let g = z + 140807/18. Let c = 6977/10 + -697. What is the common denominator of g and c?
90
Suppose -3*y = -h - 5, -2*h = y - 3*y + 2. Let j be h*1*(-2 + 1) + 1. What is the least common multiple of 20 and 1*(1 - j) - (-2 + -5)?
40
Let l(d) = 106*d**3 - d**2 - 302*d + 600. What is the lowest common multiple of 1176 and l(2)?
5880
Suppose 4*u = -5*x + 99, -2*x - 3*x + 120 = 5*u. Suppose -5*l + 36 = 2*q, 5 + u = 3*l - q. Let w = -4 - -14. What is the smallest common multiple of w and l?
40
Let k(z) = -z**2 - z + 12. Let b be k(-4). Suppose -15*t + 18*t + 30 = b. Find the common denominator of t/45*(-1002)/40 and 22/15.
30
Let y(d) = d**2 - d - 2. Let f be y(-1). Suppose o = 2*t - 7*t - 9, -3*t + 2*o - 8 = f. Find the common denominator of 59/2*t/7 and -28.
7
Suppose 15 = 3*s + 2*s. Suppose q + 10 = s*v - v, -5*v - q = -32. Let b(t) = -2212*t + 13273. What is the lowest common multiple of v and b(6)?
6
Let k = 168766014591/6070 + -27803300. Let a = k - -2/607. Calculate the common denominator of 33/14 and a.
70
Let r(i) = 6*i**2 - i. Let q be r(1). Let o = -965 - -1165. Suppose 70 + o = q*n. What is the least common multiple of 3 and n?
54
Suppose -2*n + 5 = -105. Let a be (-10)/n*29 - 2. Let y = a + 151/22. What is the common denominator of -139/12 and y?
132
Let l(r) = -r**2 + 4*r + 3. Let v be l(5). Find the common denominator of ((-3036)/(-690))/(12/(-135)) and (-53)/12 - v/(-3).
12
Suppose 5*l + 4*m = -1120, 0 = -2*m - 5 - 5. What is the common denominator of 41/40 and 12/(-60) - (-311)/l?
440
Let l(z) = z**2 - 6*z - 4. Let d be l(8). Let c be 1/(-2) + 2/4. Suppose c*p + d = p. What is the smallest common multiple of p and 10?
60
Suppose 1 = n, -2*n - 318 - 58 = -3*d. Suppose 3*c - d = 3*q, -5*q + 237 = 5*c - q. Calculate the lowest common multiple of c and 100.
900
Suppose 2*n - 477 = -n. Let k be n/(-33) + (-4)/22 - -1. What is the common denominator of 53/10 and (k/(-48))/(12/32)?
90
Let c(i) = 21*i**2 + 1131*i + 6741. What is the smallest common multiple of 2607 and c(-6)?
7821
Let h = 4138 + -16453/4. What is the common denominator of -19/521 and h?
2084
Let g = -106 + 115. Let f be 2/g - (4 + (-146)/(-9)). What is the common denominator of 3 + (-131)/(-12) - 15/f and 9/14?
42
What is the common denominator of (((-2)/12)/(308/(-176)))/((-3)/(-38)) and 113/84?
252
Let w(y) = -35*y - 1. Let k be w(0). What is the least common multiple of 160 and -16 + 22 - 58/k?
320
Let z = -1027/101 + 1281308/125543. Calculate the common denominator of -14/11 and z.
1243
Let s be 1 + 33/(-141) + (-2)/3. Let w = s + -3553/282. Find the common denominator of w and (-1)/(-2)*(-8)/10.
10
Let r be (12/(-13))/6 + (-41)/(-13). Find the common denominator of r + -1 - ((-150)/(-21))/(-5) and 29/2.
14
Let s(l) = -8*l**3 - 11*l**2 + 14. Calculate the lowest common multiple of 200 and s(-4).
1400
Let r = 290708/3 - 703955/12. Let o = 37736 - r. Let h = o + 3071/6. Calculate the common denominator of h and 7/6.
12
Let v be (90/(-21))/((-12)/56). Calculate the smallest common multiple of 3 and (8/v*5 - 4) + 35.
33
Let m = -7564 - -8982. What is the least common multiple of m and 14?
9926
Let i = 592 - 525. Let l = -452/7 + i. What is the common denominator of l and 5/103?
721
Suppose 0 = 3*w - 40 + 61. Calculate the common denominator of (-1245)/6*2/(-120) and 335/105 - (-5 - w).
168
Calculate the common denominator of (-294)/(-8)*(-585)/1365 and 59/24096.
24096
Calculate the least common multiple of (-335)/1005 + -22*(-1402)/12 and 1028.
5140
Let g = 29134 + -31959993/1097. Let c = -70283/16455 + g. Find the common denominator of c and -7/111.
555
Suppose -l = -3*a + 325, -5*a + a + 416 = 3*l. Suppose -131 = -c - a. Calculate the smallest common multiple of 15 and c.
120
Suppose 6*d = 9*d - 60. Let p = d - -5. What is the smallest common multiple of -2*2*p/(-20) and 7?
35
Let s = 355 - 2480/7. What is the common denominator of 38*6/(-54)*9 and s?
7
Suppose -876 + 145 = -t - 3*c, 5*t + c - 3669 = 0. Let v be 28/65*3*t/48. Let g = v + -902/39. Find the common denominator of g and -4/15.
30
Let m = 545146/33 - 16521. Find the common denominator of 1186/(-260) - 600/(-1300) and m.
330
What is the smallest common multiple of 7305 and 2 + 7/(196/(-48)) + (-564)/(-329)?
14610
Find the common denominator of 77/285 and 223193/33150 + (-2)/(-13) - (2 + 4).
2850
Let u be 3 - 518675*(4 - 3). Let d be 3306566/u - (-1 + 3/9). Let n = d - -2/32417. What is the common denominator of -11/21 and n?
168
Suppose 4*m = -2*w + 22, 6*m = m - 4*w + 26. Suppose -5*u = -m*u + 14. Suppose -6*a + 40 = -2*a. Calculate the smallest common multiple of a and u.
70
Let s be (106/(-3))/(4/12). Let k = -38 - s. Suppose k = -3*p + 140. Calculate the lowest common multiple of p and 2.
24
Let r(c) = 46*c**2 - 100*c - 32. Calculate the lowest common multiple of r(-2) and 4.
352
Let r = 5147 - 5063. What is the least common multiple of 606 and r?
8484
Let f = -311 + 310. Calculate the common denominator of ((-24)/3330)/((f + -4)/(-200)) and 28/33.
1221
Suppose -31*k + 12*k + 33971 = 5243. What is the least common multiple of k and 1512?
1512
Let r(b) = 2*b**2 + 23*b - 90. Let n be r(-18). Calculate the common denominator of -57/16 and (2 - 328/27)/(n/27).
144
Let z be 63/(-42)*(-36)/2. What is the smallest common multiple of 24 and z/9*(1 - (0 + -9))?
120
Suppose -2*k = 5*j + 850, 3*j + 510 = 10*k - 6*k. Find the common denominator of 53/3 and (j/7)/(4 + 20).
84
Let s = 14491 + -608677/42. What is the common denominator of s and 131/198?
1386
Let j(q) = 4*q**2 - 7*q + 7. Let h be j(1). Suppose -5*o = h*o - 360. Calculate the smallest common multiple of 8 and ((-306)/(-4))/(30/o).
408
Calculate the common denominator of (-3)/(-4) - (-134)/72 and (((-2)/10)/(-1))/(72/2172).
90
Let u = 359 + -320. Suppose 2*r = 24*r - 154. What is the least common multiple of u and r?
273
Let v = 26816297/132440 - 8708/43. Calculate the common denominator of -37/84 and v.
9240
Let g = 157/30 - 647/120. Find the common denominator of g and -26/31.
3720
Let l be -3 + -4 + 4 + 227. Suppose l = -2*v + 44. Calculate the smallest common multiple of 2 and ((-4)/3)/(3*4/v).
10
Let i be (-1)/((-2)/(-4)) + (-213168)/(-56949). Let f = 6/463 + i. Let a = f - 3343/246. Calculate the common denominator of a and -83/12.
12
Let c = -5960 + 6095. Calculate the lowest common multiple of c and 150.
1350
Suppose 0 = -d + 2*m + 5 - 4, d = -5*m + 8. Find the common denominator of (((-36)/(-8))/d)/(27/(-435)) and 89/20.
60
Let c(o) = -o**2 - 7*o + 12. Let i be c(-8). Let h be (12/(-9))/((-1)/((-15)/(-2))). Let u = i + h. Calculate the lowest common multiple of 16 and u.
112
Let b = 5636/33 - 517/3. Find the common denominator of b and 61/1538.
16918
Suppose 2*j + 2*l = 30, 76*l + 10 = 74*l. Calculate the least common multiple of 0/(-1) + 6*6 and j.
180
Suppose 30 = -15*o + 75. Let r = 760 + -2309/3. Calculate the common denominator of r and o*111/243 + -1.
27
Let c = 191536509887376365/366988 + -521914912444. Let d = 1/15956 + c. Let p(f) = 2*f**3 + 12*f**2 + 15*f + 17. Find the common denominator of p(-5) and d.
23
Let y = 1287 + 20. Let v be 30/105 - (-72798)/56. Let i = y - v. What is the common denominator of 65/2 and i?
4
What is the common denominator of (12/(-608))/((-2)/(-136)) and 17/(-18) - (87/27 - 3)?
114
Suppose -4*k - 5*k = -279. Let l = k - 15. Suppose 2*c = c + 3*w + 7, 4*c + w = 15. Calculate the lowest common multiple of l and c.
16
Let i = 473854043/518035 + -4/74005. Let l = i + -922. Find the common denominator of l and (-3)/10*452/12.
70
Suppose 9342*b = 9372*b - 14160. Calculate the least common multiple of b and 16.
944
Suppose 2*n = -14*n - 2064. Let o = -119 - n. Calculate the smallest common multiple of 24 and o.
120
What is the common denominator of (-2)/12*264/872 and -2 - 6/660*-185?
2398
Let h = 34 + -31. Suppose 5 = -q + h. Calculate the common denominator of 1 + (5/q)/((-12)/39) and 5/2.
8
Suppose 0 = -6*h + 156 + 126. Suppose 12*q - 167 = -h. Calculate the lowest common multiple of q and 248.
1240
Let y be 92/12*1/(2/(-30)). Let i = -82 - y. What is the least common multiple of 2/10 - (-14)/5 and i?
33
Let z = -4351 + 26101/6. What is the common denominator of 73/1011 