34
Let c = 208 + -110. What is the lowest common multiple of c and 6?
294
Let n(u) = -3 + 4*u - 8 - 3*u. Let d be n(12). What is the common denominator of -1 + d + (-1017)/(-180) and -127/18?
180
Let p be ((-675)/(-615))/((-2)/18686). Let w = 10255 + p. Find the common denominator of w and 91/2.
82
Let f = 410 + -1643/4. Find the common denominator of f and 107/24.
24
Let q = 9 - -23. Suppose b - 5*x - 8 = -x, 4*b + 4*x - q = 0. Calculate the smallest common multiple of b and (-2)/3*(-27)/18.
8
Let i = -79 - -169. Let w be i/1464*(-2058)/15. Let b = w + -4/61. What is the common denominator of b and 23/2?
2
Suppose -2 + 4 = 2*k. Let v be ((2 + -38)/2)/(-1). Calculate the smallest common multiple of 20 and 3*k + (v - -1).
220
Let t be 1 - 2 - 4670/1600. Let s = -33/32 + t. Calculate the common denominator of s and ((1180/(-8))/(-5))/(36/(-4)).
180
Suppose f - 4 = -s + 1, 0 = -4*f. Calculate the smallest common multiple of s and 46.
230
Calculate the common denominator of ((-14)/(392/20))/((-12)/(-7)) and 1/3 - 7/36.
36
Let r be 2786/5 + 2 - (-2)/(-10). What is the common denominator of (-4)/40 - (1 - -1) and r/30 + (-14)/105?
10
Suppose 29 = -2*q - 3*n, 8*q - 5*n + 35 = 3*q. What is the smallest common multiple of -2 + q*(1 + -3) and 1?
18
Calculate the common denominator of 43/21 and ((-34)/(-4))/1*6/(-81).
189
Suppose -9 = -5*a + 11. Suppose 127*d - 20 = 123*d. What is the smallest common multiple of a and d?
20
Calculate the common denominator of 96/128 - (-242)/(-120) and -74/63.
315
Let c = 212125855 - 658650769109/3105. Let w = 88/135 + c. Let t = 5/207 + w. Find the common denominator of 107/10 and t.
90
Let f = 9 + -14. Let y(z) = z**2 + 5*z + 4. What is the least common multiple of y(f) and -1 - 3 - -10 - 1*-1?
28
Let d be (-3)/5 - 23/(-5). Suppose -x + 9 = d*w - w, 4*x + 4*w = 28. Suppose 7*a = 4*a + x. What is the lowest common multiple of 10 and a?
10
Calculate the smallest common multiple of (-24)/108 - (-9464)/63 and 75.
150
Let d(b) = -b**2 + 3*b - 1. Let p be d(2). Let y = -1 + p. Calculate the common denominator of -101/10 and (y - 94/48)*2.
60
Suppose 0 = -b - 6 - 26. What is the least common multiple of (-21)/(-4) - -6*(-4)/b and 4?
12
Let v(k) = -3*k - 2. Let p = -3065 - -3070. Calculate the smallest common multiple of p and v(-6).
80
What is the least common multiple of 4 and (60/(-10))/(2*5/(-30))?
36
Let u = 3 + -4. Let l be u/3 + 39/9. Suppose -2*f = -3*n - 32, -6*f + l*n = -3*f - 48. What is the least common multiple of 8 and f?
16
Let q be 2 - (0 + 4)/2. Suppose -a - 1 + 5 = -2*p, 3*a - p - 7 = q. Suppose 239 + 97 = 84*v. Calculate the smallest common multiple of v and a.
4
Let k be 4/(-10) + 1228/1520. Let u = -643/380 - k. What is the common denominator of 1/20 and u?
20
Let t(b) = 2*b**2 + 13*b - 9. Let n be t(-7). Let c = 12/799 - -62953/11186. Find the common denominator of (n/(-30))/((-4)/(-51)) and c.
140
Let q be 0/6 - -4*(-37)/2. Let k = q + 106. Calculate the lowest common multiple of k and 20.
160
Let n = 144594721/594880 + 473/10816. Let r = n - 1231/5. Find the common denominator of 99/10 and r.
110
Let q = -324787/65490 + -16/2183. What is the common denominator of -17/210 and q?
210
Suppose -5*i = 4*z - 50, 5*i + 0*z + 2*z = 40. Let p(o) = -o**3 + 7*o**2 - 3*o - 14. Calculate the smallest common multiple of p(i) and 10.
20
Suppose -5*b - 1 = -4*b. Suppose 5*r - 3 = 4*r. What is the lowest common multiple of (b/(-1) - 4)*-1 and r?
3
Suppose 2*c - 188 = 4*c. Let a = -151 - -236. Find the common denominator of 43/10 and (-2 - c/48)*a.
120
Let k(z) = 2*z**2 + 9*z + 12. Calculate the lowest common multiple of k(-4) and 30.
120
Let z(b) = 2*b + 2*b + 59 - 57 - 2*b**2. Let m(r) = r**2 - 1. Let a(g) = m(g) + z(g). Calculate the least common multiple of a(3) and 8.
8
Let z(u) be the first derivative of u**4/4 - u**3/3 + u**2/2 - 32*u - 9. Let r be z(0). What is the common denominator of 21/26 and -10*(-5)/r*1?
208
Let n = 18 - 33. Let i = 55 - n. What is the common denominator of 274/(-120) - (-14)/i and -95/6?
12
Let q = -1/2375398 - 17156905901/8313893. Let a = 2058 + q. What is the common denominator of a and -145/6?
42
Suppose l + 2 = 3*l. What is the common denominator of (1 - 2 - l)/(60/(-261)) and 1/3?
30
Suppose 2*y + 56 = -5*u + u, y = 4*u + 50. Let m = -15 - u. What is the common denominator of (0 + 363/9)/m and -46/13?
78
Let z = -1/4710 + 1679/513390. Let l be (-2)/7 + (-235155)/(-13734). Let j = l - z. Find the common denominator of -1/12 and j.
12
Let n(p) = p + 6. Suppose 0*d - 2*d = -3*g - 16, -3*d - 2*g = -11. Suppose -2*k - 66 = -d*k. What is the lowest common multiple of n(8) and k?
154
Let u(z) = -z**3 - 8*z**2 + 2*z - 18. Let q be u(-8). Find the common denominator of (36/(-48))/(12/q) and ((-31)/(-9))/((-2)/(-3)).
24
Calculate the common denominator of 26/130*(94/(-8) - -1) and 23/140.
140
Let y(i) = -i**3 + i + 11. Let f be y(0). Let k = f - 7. Suppose 0 = 3*t - j - j - 40, 3*j + k = t. What is the smallest common multiple of 8 and t?
16
Suppose 187 + 513 = 2*g. Suppose a = 1, -3*i - 3*a + 60 + 3 = 0. Calculate the least common multiple of g and i.
700
Let j = -755/8 - -94. What is the common denominator of j and (3 - -2) + (-225)/216?
24
Suppose 5*b - 3*z + 79 = 1495, -b = 2*z - 291. Let w be 39540/(-144) + -3*2/(-18). Let t = b + w. Find the common denominator of t and 77/12.
12
Let x be (2/2)/(((-21)/(-9))/7). Calculate the common denominator of x/(-9)*236/(-20) and -125/12.
60
Let q(y) = -y**2 - y - 7. Let l be q(-5). Let p = -22 - l. Suppose 14 + 0 = m + 3*a, 0 = -p*m - 2*a + 44. Calculate the lowest common multiple of 10 and m.
40
Let z(k) = -5*k**2 + 52*k - 3 + 10*k**2 - 52*k. What is the lowest common multiple of z(-3) and 14?
42
Suppose -4*q - 1 = -5*q. Suppose -a + q = -13. What is the least common multiple of a and 190?
1330
What is the least common multiple of (-15)/(810/(-1143)) + 2/(-12) and 348?
2436
Let a(u) = -u**2 + 7*u + 20*u**2 - 9 + u**3 - 9*u**2. What is the least common multiple of a(-9) and (10/(-7))/(3/(-21))?
90
What is the common denominator of -37/22 and (-1)/6 + (43950/(-1584))/(-25)?
88
Let x(o) = -o**3 + 7*o**2 - 4*o - 6. Let g be (-8)/16 - ((-34)/4 + 2). What is the least common multiple of 20 and x(g)?
60
Let w = -129 + 129. Suppose w = -2*c + 2*x + 44, -2*x = -x - 2. Calculate the least common multiple of c and 39.
312
Let g be 6/(-24) + (-146)/(-8). Find the common denominator of 6*(-3)/g*(-27)/(-30) and 21.
10
Let p(g) = g**2 - 2*g + 21. Calculate the lowest common multiple of 10 and p(3).
120
Let x(f) = 4*f - 4. Let r be x(8). Let i be (r/(-6))/(8/48). Let u = i + 42. What is the least common multiple of u and 2?
14
Let z = 9319/326 - 14/163. What is the common denominator of -71/20 and z?
20
What is the common denominator of (-98)/10 + 11 - -8 and 11/453?
2265
Suppose -8*a - 146 = -322. Suppose -c - 4 + 12 = 0. Suppose 3*r + 2 = c. Calculate the smallest common multiple of r and a.
22
Let t = 9218733/6052 - 6093/4. Let m = t - 113499/6052. What is the common denominator of 6/(-33)*(-14)/(-8) and m?
44
Find the common denominator of 52/6 + 0 + 22 + -18 and 38/307.
921
Let c(r) be the first derivative of 2*r**3/3 + r**2/2 - 2*r - 2. What is the lowest common multiple of c(-2) and ((-144)/27)/(2/(-3))?
8
Let r = 80 + -56. Suppose -2*v + 0*v + r = 0. What is the common denominator of 69/10 and (28/24)/(v/45)?
40
Let s be ((-1)/(-1))/((-70)/96260). Let a = s + 1379. What is the common denominator of a and 38/5?
35
Let z = -3224 + 19387/6. Find the common denominator of (-28 - -29) + 82/(-36) and z.
18
Let z(d) = 2743*d - 8. Let u be z(6). Suppose -7*y + 5*y - u = 0. Let q = 65881/8 + y. Find the common denominator of q and 19/16.
16
Let p = -38013 + 1596461/42. Calculate the common denominator of p and 101/312.
2184
Let l be (-6)/(-15) - 359134/160. Let b = l - -2243. Calculate the common denominator of ((-3)/15)/(224/(-11900)) and b.
16
Suppose 2*j + 0*j = 38. Let y = 27 - 24. Let w = y - -8. What is the least common multiple of w and j?
209
Find the common denominator of -6*26/39 - 241/(-50) and 63/40.
200
Let i be 36/24 + 14/4. What is the common denominator of (-56)/i*(15/(-6) - -2) and -5/2?
10
Let r(y) = y**2 - 16*y + 19. Let t(k) = -k**2 + 16*k +