 -2*s - 3*u. Suppose -206 = q - s. Calculate the least common multiple of q and 3.
6
Suppose 4*d = 3*w - 2*w + 97, -5*w - 5 = 0. Let r = -4067/3618 - 33/134. Find the common denominator of r and (-980)/d*(-2)/10*-1.
54
Find the common denominator of 5/4 and ((-6)/1952)/((-11)/121 - (-160)/(-55)).
976
Let j(t) = -3*t**2 - 40*t + 2. Suppose 3*p - r = -29, -5*p - r = -4*r + 47. Calculate the smallest common multiple of 20 and j(p).
1020
Suppose -4*z - d = -3*d - 982, -2*z - 5*d + 497 = 0. Let j = -2957/12 + z. Calculate the common denominator of -137/66 and j.
132
Let u(p) = 8*p**2 + 4*p. Suppose 5*s = 6 - 16. Calculate the lowest common multiple of 4 and u(s).
24
Let y(m) = -m**2 - 9*m. Suppose 911 + 1364 + 3017 = 63*v. What is the lowest common multiple of v and y(-6)?
252
Let k = 14/183 - -8321/3660. Let p = 91 + -94. Calculate the common denominator of k and (p - -7) + (-11)/(-6) + -2.
60
Let i = 1902 - 1782. Let t(m) = -4*m - 15. Calculate the smallest common multiple of t(-9) and i.
840
Let o = 5279 - 2766. Find the common denominator of 4/(-14) + o/392 and 77/40.
40
Let p = 305251/157233 - 2/9249. Find the common denominator of ((-243)/(-12))/((-1)/2) and p.
34
Let y be 1 + (2 - 0) + 54. Suppose -5*f = -4*c - y, 0*c = -5*f - 4*c + 33. Let w = -5 + 32. What is the least common multiple of f and w?
27
Let v = 7292 + -5660. Calculate the smallest common multiple of v and 12.
1632
Let z(m) = -10 + 9*m - 5*m**2 + 4*m**2 - 16*m + 2. Calculate the smallest common multiple of 2 and z(-5).
2
Let k = -16682/473925 + -4/1775. Calculate the common denominator of k and -56/3.
267
Suppose -4*h - 16 = -6*h. Suppose 0 = -5*j + 3*y - h, 2*j - 3*y + y = 0. Calculate the lowest common multiple of 20/j*20/(-25) and 7.
28
Let u = -15950818/141 - -113143. Let r = u - -33/47. Find the common denominator of r and 3/3 - (5 - 1915/330).
66
Let u(o) = 2*o**2 + 3*o - 2. Suppose 11158 = 25*s + 883. Let z = 414 - s. What is the least common multiple of u(-3) and z?
21
Suppose -3*p + 5*h + 154 + 500 = 0, -4*p = -2*h - 900. What is the least common multiple of 6 and p?
228
Let s = 449 + -79. Calculate the least common multiple of (-1100)/9405 - (-4)/18 - (-224)/38 and s.
1110
Let u be (1 - (-22)/(-16)) + (-10402355)/1176. Let n = -26539/3 - u. Calculate the common denominator of n and 13/7.
98
Let h be 120/100*1/(6/(-20)). Calculate the common denominator of 1/36 and (1311/760)/(-3*h/5).
288
Let z = 1170 - 1142. Calculate the lowest common multiple of 424 and z.
2968
Let g(r) = -r**3 + 4*r**2 - r - 3. Suppose 0 = -9*o + 10 + 8. Calculate the least common multiple of 11 and g(o).
33
Suppose -3*r = -p - 18 + 47, 2*r + 3*p + 12 = 0. Let u = 42169/8 - 5278. What is the common denominator of ((-342)/24)/(r/(-2)) and u?
24
Let a(s) = s + 26. Let o be a(-7). Suppose 5 - o = -q. Suppose -84 = -2*r - r. Calculate the lowest common multiple of r and q.
28
Let p = 459881/78 + -5897. What is the common denominator of -17 - (-4 + 1541/(-117)) and p?
234
Suppose 30 + 34 = 16*d. Suppose -3*c + 3*s = -s - d, s = 3*c - 10. What is the smallest common multiple of 12 and c?
12
What is the common denominator of -76/21 and 1/(-342)*(-2862)/(-198)*-1?
8778
Let j(x) = -3*x - 14. Let b be j(-6). Suppose -b*p + 85 = 57. Suppose -5*k - 9 = 2*o, -8*o + 3*o + 20 = 4*k. Calculate the smallest common multiple of o and p.
56
Suppose 2*a + 6 = 0, -g - g - 2*a - 4 = 0. What is the least common multiple of 9 and (2 + g)*35/21?
45
Let f(l) = 5*l**3 + 6*l**2 - 20*l - 72. Let g = 14 - 5. What is the least common multiple of f(4) and g?
792
Let y = 419 - 401. Let w(c) = -74*c - 3. Let d be w(-2). What is the lowest common multiple of (y/10)/(29/d) and 12?
36
Suppose 2*u = 5*r - 39005, -8*u = 2*r - 7*u - 15611. Let t be r/36*((-6)/(-14))/(-3). Let z = t - -236/7. Find the common denominator of -81/8 and z.
8
Suppose 5*a - 2*t - 37 = 0, 2*a + 2*a - 5*t - 16 = 0. Suppose 10*b = a*b + 7. Suppose 0*v + 154 = b*v. What is the least common multiple of 62 and v?
682
Suppose 0 = 45*m - 28*m - 219028. Let j = -309259/24 + m. Find the common denominator of -34/3 and j.
24
Suppose 3*z + 6 = i, -8*z - 4 = -4*i - 6*z. Let c(l) = 2*l**2 - 6*l + 15. Calculate the smallest common multiple of c(i) and 8.
120
Let k = 2983201/132 - 139375/6. Let t = -628 - k. Calculate the common denominator of t and (1 - 0) + (-74)/(-32).
176
Let a = 1774/7 + 2045/14. Let h = -406 + a. What is the common denominator of -45/11 and h?
22
Let b(a) = -17*a + 44. Let y be b(-3). Suppose y*w = 98*w - 54. What is the lowest common multiple of w and 130?
1170
Suppose 2*b - 5*a - 75 = -b, -b - 3*a + 39 = 0. Let v = -17397 + 17451. Calculate the smallest common multiple of b and v.
270
Let p be -1 + -4133 - 105/21. Let w = p - -115877/28. Let a = -553 + 4505/8. Calculate the common denominator of a and w.
56
Let s = 64 + -62. Suppose s*d + 5 = 11. Suppose 4*x = x - 5*q - 1, -x - 7 = d*q. Calculate the least common multiple of 13 and x.
104
Let m = 748/29 + -2290/87. What is the common denominator of m and -113/102?
2958
Let o(l) = -9*l - 62. Let f be o(-18). Let x be (-3 + f/45)*(1 + 2372). Let c = x - -1867. Find the common denominator of c and -103/30.
30
What is the least common multiple of 594 and (55/(-20) - -2)/(1 + 2906/(-2904))?
6534
Let i = -551045829/28 + 19660476. Let l = -19735 - i. Find the common denominator of l and 35/(-4)*((-4)/22 + 576/(-462)).
28
Suppose k + 452 = 6*k + 3*s, -2*k + 5*s + 156 = 0. Calculate the least common multiple of (-6)/8*(-37 - -5) and k.
264
Let r(i) = i**3 + 7*i**2 + 8*i - 4. Let y be (-6)/(-9) + ((-51)/9 - -1). Let o be r(y). Find the common denominator of 59/39 and 2*(-3)/o - 280/24.
78
Suppose -10 = -4*x - j, 3*x - 8 = -0*j - j. Suppose -3*v + v + x = 0. Find the common denominator of (v/6)/(1/(-3 + -115)) and 48.
3
Let b = 1001932451/2124 - 1415159/3. What is the common denominator of b and -17/84?
14868
What is the common denominator of 62/225 and (1725/(-250))/(55/(-38)) - 5?
2475
Suppose 287*g - 3932 = 291*g. Let u = g - -1531. Calculate the smallest common multiple of u and 4.
548
Let j = -96 - -101. Let h(c) = -2*c - 2 + 2 - 3 - j*c. What is the smallest common multiple of h(-1) and 22?
44
Suppose -4*g + 2*n = 170, -3*n + 215 = g - 6*g. Let l = 43 + g. Suppose -2*x - l = -f, 4*f - 23 - 9 = 3*x. What is the smallest common multiple of f and 41?
451
Let t = 64165 + -20532737/320. Find the common denominator of t and -109/44.
3520
Let l = 787/11 - 11513/154. What is the common denominator of l and 101/4?
28
Suppose -3*c = 21 - 0. Let g = 319/8 + -14723/360. Find the common denominator of (c/126)/((-2)/152) and g.
45
Let r = -88 + 90. Suppose 0*f + 57 = 4*g - 3*f, -r*g + 18 = 2*f. What is the smallest common multiple of -3*8/(-6)*15/6 and g?
60
Let o be 0 - (28/7 + 0). Find the common denominator of -45 and ((-3)/(-2 - -5))/(o/62).
2
Let b = -40273 - -42973. What is the smallest common multiple of b and 900?
2700
Let w = 907 + -905. What is the least common multiple of 1826 and w?
1826
Let j(z) = -16*z**2 - 18*z + 4. Let r be j(4). Let q = r + 326. Calculate the smallest common multiple of q and 3.
6
Let l(q) be the third derivative of q**5/15 - q**4/8 + q**3/6 - 7*q**2. Let g be l(5). Calculate the common denominator of (2 - (-156)/(-88))*g/10 and -23/10.
110
Let h(p) = p**2 - p - 27. Let x be h(-5). What is the smallest common multiple of (x + -8)/((-4)/32) and 20?
40
Let x(p) = -4*p + 103. Let c be x(25). Suppose 2*k + 30 = c*j, k = -2*k. What is the least common multiple of 25 and j?
50
What is the least common multiple of 68 + 35 + (-31 - -5) and (-2 - -1) + -1 + 72?
770
Let s be 5704641/2484*(-4)/2222. Let z = s + -5/2323. What is the common denominator of 278/(-96)*2/1 and z?
264
Calculate the common denominator of -51/4714 and (64155/126)/47 + 1.
14142
Suppose 0 = 4*m + 6*m - 570. Suppose -m = u - 6*u - w, -15 = 5*w. Calculate the common denominator of -37/4 and 3/u*(-2 + (-216)/(-11)).
44
Suppose -27 = -3*l + 2*k - 11, -12 = -l - k. Let n(m) = m - 4. Let h(p) = 4*p**2 - 8*p + 4. Calculate the smallest common multiple of n(l) and h(3).
16
Let a = -2383 + 9439/4. Let r = -45767/20 + 2283. Calculate the common denominator of a and r.
20
Let m = 661/196 + -6/49. Let s = -5269/340400 - -7/3700. Cal