 Suppose -4 = -v, v + k = -x + 8. Suppose n - s - 1 = 5, 2*n + 4*s = 24. What is the smallest common multiple of n and x?
8
What is the common denominator of (-1044)/120*(-5)/(-36) and 7/8?
24
Let y be 4*3*2/12. Suppose -y*i + 39 = i. Suppose -j - i = -33. What is the least common multiple of j and 4?
20
Calculate the common denominator of (8 - 2655/324)/(2/4) and -59/3.
18
Let g = 1673/17230 + 5/1723. Let h = -988/297 + -2/297. What is the common denominator of g and h?
30
Suppose -215 = -9*x + 217. Suppose -7*j = -8*j + x. Calculate the least common multiple of 4 and j.
48
Suppose 477*d - 482*d + 175 = 0. What is the smallest common multiple of 7 and d?
35
Suppose -2*i = -4*i + 2, -3*b = -i - 2. Let z be b + 58 + (-1 - -2). What is the common denominator of -113/14 and (-5)/z*(-297 - 1)?
42
Suppose 0 = 3*g - 33 - 66. Find the common denominator of 1 - (15/g + -3) and (-1)/(9/(-57))*(-7)/2.
66
Calculate the common denominator of (-215137)/(-659100) - 1/(-13) and -89/24.
600
Suppose -3*b = -1 - 5. Suppose 7*t - b*t - 110 = 0. Let r(k) = 6*k + 186. What is the least common multiple of t and r(-28)?
198
Suppose -10*n + 143 = -37. Suppose 0 = -p + 4*z + 42, 5*p + 5*z + 0*z - 85 = 0. Calculate the lowest common multiple of p and n.
198
Let q = -734209/76 + 9660. Find the common denominator of q and 49/228.
228
Suppose -o + 6 = 4*r, 0 = -3*r - 4*o - 3 + 1. Suppose -r*l = -v - 67, -2*l = -l + 5*v - 61. What is the lowest common multiple of l and 27?
108
Let k be ((-3)/4)/((-4)/(-24)*127). Let r = k + -8401/3048. Find the common denominator of r and 59/36.
72
Let b = 1775014951/1158 + -1532828. Calculate the common denominator of b and 97/6.
1158
Suppose -470 + 550 = 5*c. Calculate the smallest common multiple of c and 16.
16
Let g = 4 - 10. Let x = -151/88 - -7/88. What is the common denominator of ((-5)/3)/((-11)/g) and x?
11
Suppose -p = -2*l + 8 + 3, 4*l - 17 = -3*p. What is the common denominator of -47/32 and 102/(-8) + -6 + l?
32
Let d(j) = -578009*j**3 + 2*j**2 - j. Let q be d(1). Let m = q - -6911941/12. Let c = 2015 + m. Find the common denominator of c and 51/8.
24
Let i(g) = 2*g**2 - 4*g + 2. Let h be i(2). Calculate the smallest common multiple of 22 and 4/h + 1 + 5.
88
Let r(l) = -l**2 + 7*l - 6. Let z be r(5). Suppose 3*x - 6 = -0*c + 2*c, x - z = 0. Suppose 0 = -v + c + 11. Calculate the smallest common multiple of v and 20.
140
Let j = -32041 - -481081/15. Let d = j - 169/10. Find the common denominator of 53/13 and d.
78
Suppose -3*q - 2*t = -3*t - 193, -4*q + 240 = 3*t. Calculate the lowest common multiple of q and 162.
1134
Let h = 1034/183 - -1/61. Calculate the common denominator of h and (3/(-7))/(-1) - 624/336.
21
Let n(q) = 476*q - 25. What is the least common multiple of 369 and n(1)?
4059
Calculate the smallest common multiple of 2 and 3/(11/(880/12)).
20
Suppose 0 = 5*f - 45 - 35. Suppose 3*y + 4*u - 18 - 2 = 0, -4*u = f. Calculate the least common multiple of y and (12/(-1))/3 - -16.
12
Suppose 2*g + 968 = -0*g. Let a = g + 181. Let l = a + 866/3. Find the common denominator of l and 47/2.
6
Let a(k) = 2*k**2 + 14*k - 8. Let l(f) = -3*f**2 - 14*f + 8. Let w(v) = -4*a(v) - 3*l(v). What is the smallest common multiple of 30 and w(14)?
120
Suppose -3*q = q + 144. Let o = 1112 + -12263/11. Find the common denominator of (-1)/4 - (-537)/q and o.
66
Let u = -2994 + 26875/9. Let b = -310 + 2794/9. What is the common denominator of b and u?
9
Suppose 38 = -9*i + 10*i. Suppose 4*v + 70 = 2*j, 0 = -2*v + 3*j - j - i. Let m = -14 - v. Calculate the lowest common multiple of m and 14.
14
Let v(k) = 252*k**2 - 2*k - 7. Let b be v(-2). Calculate the common denominator of (-5)/1 - b/(-45) and 59/15.
15
Suppose 3*o = -5*z - 2*o + 35, -5*o = 3*z - 23. What is the lowest common multiple of z and 27?
54
What is the common denominator of 7/9 and 750/(-255) - (-7 - -1)?
153
Let y = -506 - -614. What is the smallest common multiple of y and 36?
108
Let v = -890 + 902. Let k be 2/7 + 166/7. Suppose -k = -p - 4. Calculate the lowest common multiple of v and p.
60
Suppose -10*t = -249 - 791. Calculate the least common multiple of 8 and t.
104
Let l(q) = 4*q**3 + q**2 - 1. Suppose -4*w = -24 - 16. What is the smallest common multiple of l(1) and (2 - 35/25)*w?
12
Calculate the smallest common multiple of 18 and 13/(39/24) - 7.
18
Let l = 12 + -9. Suppose -3*b + 29 = 2*q, 2*b - l*b + 14 = 5*q. What is the lowest common multiple of b and 4/(-10) + 14/10?
9
Let x be (-4)/18*828861/(-44). Let d = -4198 + x. Calculate the common denominator of (-467)/(-30) - 4/10 and d.
6
Suppose 15*m - 9*m = 48. What is the common denominator of ((-1312)/30)/(-4)*1/m and 20/3?
30
Let q = 38419/8312 - -3/1039. Find the common denominator of q and ((-5)/22)/(2/12).
88
Let i = -464 + 5099/11. Find the common denominator of -22/89 and i.
979
What is the lowest common multiple of 9 and 6/5 + 60/75?
18
Let v = 5 + -2. Let t = -770 - -797. Calculate the smallest common multiple of t and v.
27
Let l = -9970 + 119713/12. Suppose -q + 22 = -0*q. Calculate the common denominator of (-25)/q + (-2)/(-11) and l.
132
Find the common denominator of 1670/(-8200) + (-3)/(-5) and 7/4.
164
Suppose -4*p - 5*a = -30, p + 4*a = -p + 18. What is the lowest common multiple of p and 51?
255
Suppose -5*r = -k - 28, -r + 4*r + 4*k - 3 = 0. Calculate the common denominator of (-84)/r*(-14)/(-21) and 74/3.
15
Suppose 5*f = -5*m + 30, 2*m + m = f + 2. Suppose -v + m = 2*u, 0 = 2*v - 3*u + 15 + 16. What is the lowest common multiple of (v - (4 + -1))*-1 and 8?
88
Calculate the common denominator of -44/7 and (-1)/(-12)*((-980)/16 - 1).
112
Let k(u) = u**3 + 7*u**2 - 8*u + 8. Let v = -307 + 310. What is the smallest common multiple of k(-8) and v?
24
Let u be ((-3)/(-2))/(90/24)*-115. What is the common denominator of (-1878)/(-208) - u/(-299) and -58/9?
72
Let q = 49 + -47. What is the common denominator of (-18)/30*((-81)/6 - q) and -5/26?
130
Suppose 2*h + 8 = -0, -5*t = 5*h - 10. Let m = 35 - t. Calculate the common denominator of 41/13 and m.
13
Suppose -3*k = -2*x - 1, 5*k - 3*x + 0 = 1. Let w(y) = -4*y + 5*y + 0 + 2 + 10*y**2 + y**2. What is the lowest common multiple of 30 and w(k)?
60
Calculate the common denominator of -61/36 and ((-1001)/210 + 8)/4.
360
Let h = 16547/840 - 257/14. What is the common denominator of h and -57/4?
120
Calculate the least common multiple of 44 + (-8 - -17 - 5) and 160.
480
Suppose -2*g + 10 = 3*d, 4*g + d - 22 = 8. Calculate the smallest common multiple of 40 and g.
40
Find the common denominator of (-203)/4698*(0 + 1 - -14) and -101/54.
54
Let i = -38448 - -1307335/34. Let w = 7684/1997311 + 272794590143/35340420834. Let t = 2/2949 - w. Calculate the common denominator of t and i.
306
Find the common denominator of -19/568 and ((-12)/7)/(6/(-63)).
568
Let m be 44/55 + (-3)/15*-86. Suppose 0 = m*i - 23*i + 165. Calculate the least common multiple of 24 and i.
264
Let u(o) = -o**2 + 9*o + 26. Let n be u(0). Let w = n + -15. What is the smallest common multiple of w and 22?
22
Let a(g) = 2*g**2 + 22*g + 24. What is the lowest common multiple of a(-11) and 52?
312
Calculate the smallest common multiple of 2*(-40)/(-6)*81/5 and 288.
864
Suppose 4*y + 4*v = -0*y - 4, -5*v - 11 = 3*y. Suppose 0 = y*o + 55 - 265. Find the common denominator of 5/2 and (9/(-14))/((-12)/o).
4
Let l(s) = s**2 + 5*s + 3. Let w be l(-2). What is the least common multiple of 8 and (-14)/w + 3/9?
40
Let y = -55249/6030 + 698/67. Find the common denominator of -59/63 and y.
630
Let t be (-113976)/(-108640) - 6/10 - -1. Let u = 42/485 + t. What is the common denominator of -61/2 and u?
28
Let x = 77 - 74. Suppose 0 = x*a - a - 36. Calculate the smallest common multiple of 22 and a.
198
Let i(f) = -17*f**3 + 3*f**2 - 2. What is the least common multiple of (-4)/(-18) + 70/9 and i(-1)?
72
Suppose i = 2*i. Suppose -5*n - 5 = -i. Calculate the common denominator of -2/9 and 1/(n - 128/(-146)).
9
Let g(l) = 2*l**2 - l - 4. Let f = -22 - -39. Suppose -4*i + 27 = -f. What is the smallest common multiple of i and g(2)?
22
Let a = -41 - -59. Let j = -2231 - -2353. Calculate the least common multiple of a and j.
1098
Let f(a) = -2*a**3 - 4*a**2 + 1. Let q be f(-3). What is the lowest common multipl