384
Let k(a) = a**3 + 3*a**2 + 4*a + 4. Let t be k(-2). Suppose t = 5*x - x - 4, -5*x = 3*g + 1. What is the least common multiple of 2/g - -1 - -10 and 8?
40
Let j = -107 - -116. Suppose -2 = n + 2*i + 2*i, -2*n + 14 = -i. Calculate the lowest common multiple of j and 5/(75/n)*45.
18
Let i(h) = -h**2 - 23*h - 28. Let c(x) = -2*x**2 - 134*x + 158. What is the least common multiple of c(-68) and i(-9)?
1078
Suppose 5*b + 54 = 79. Suppose -b*p - 316 = l, -5*p + 4*p = 5*l + 44. Calculate the common denominator of 13/p - (-14)/(-112) and -19/10.
320
Let t be (-1 - 31277/(-5))/((-50)/1625). Let y = t - -4995107831/24574. Let v = y - 497620/86009. What is the common denominator of v and -109/22?
154
Let x(w) = 27*w**2 - 4*w + 3. Let u be x(1). Let z = -22 + u. Suppose o + z = 22. What is the lowest common multiple of 8 and o?
72
Suppose -11*q - 20 = -6*q. Let h(d) = 2*d + 12. Let y be h(q). Suppose -y*g + 0*r + 36 = r, -5*g + 45 = 5*r. Calculate the smallest common multiple of g and 2.
18
Suppose 0 = y + 2*c + c + 4, -4*c - 40 = -3*y. Let b = -494 + 571. Suppose -51*z = -40*z - b. What is the smallest common multiple of y and z?
56
Let g = 50089/182688 - 29/5536. What is the common denominator of 73/528 and g?
528
What is the common denominator of (3*30/(-108)*(-10)/25)/(-399) and 13/2?
2394
Let u = 1545649944793/305109660 - 56/5085161. Let h = u + -15214/3. Find the common denominator of h and (-10)/(56/46 - 0).
140
Let c = -8512903/310 - -27461. Calculate the common denominator of 13/1705 and c.
3410
Calculate the smallest common multiple of (300/(-70))/((-18)/(-1652))*-36 and 12.
14160
Suppose -4*n = -2*y - 140, 9*n = 7*n + 5*y + 62. What is the lowest common multiple of n and 60?
180
Let l = 378 - 364. Calculate the least common multiple of 155 and (13 - l)*1*-4*2.
1240
Let g = -3226 + 6118. What is the smallest common multiple of 96 and g?
23136
Let w be 141*(-2 + 4 + -1). Calculate the common denominator of (w/20 - 7) + -1 + -1 and -79/84.
420
Let c = -167839179/394 + 425988. Find the common denominator of c and -57/26.
5122
Let t be (1 + 0)/(1/(-5)). Let l be ((-30)/t)/((-12)/8). What is the common denominator of l/9*(-159)/8 and -7/2?
6
Let y be ((-20)/25)/(2/(-3845)) + -2. Let t = -4549/3 + y. Find the common denominator of 51/26 and t.
78
Suppose -4*n = 5*y - 294, 301 - 76 = 3*n + 3*y. Calculate the least common multiple of 5805 and n.
17415
Let y(a) = 52*a**2 - 13*a - 2. Suppose 11*f - 30 = -41. Calculate the lowest common multiple of 7 and y(f).
63
Let q be (-13868)/(-62487) - 20/90. Let i = -590163/27772 - q. Let m = 10547493/118 + -89385. Find the common denominator of i and m.
236
Suppose -350 = -10*d - 110. Suppose 5*u - d = 16. Calculate the smallest common multiple of u and 49.
392
Let b be 102/(-170) - 17/5. Let h be -578 + -8*b*(-2)/16. Calculate the lowest common multiple of 6/27 - h/54 and 7.
77
Let m be 11 + -10 + (7 - 1). Suppose -280 = 75*o - 68*o. Calculate the common denominator of 49/16 and ((-44)/o)/(m/63).
80
Let k(n) = 14*n - 16. Let t be k(1). What is the smallest common multiple of 16 and (78/195)/(61/30 + t)?
48
Let s be (5 + -5)/(-7) - (-1 + 5). Find the common denominator of -53/9 and 1885/87*2/s.
18
Let q = -33 - -86. Let u = 50 - q. What is the common denominator of 2/u + (-50)/12 and -67/30?
30
Suppose 2*b + 0 = 5*v + 3, -2*b - v = -9. Let d(k) = -k**3 + 5*k**2 + 8. Let p be d(b). What is the common denominator of -57/2 and (6/p)/(18/(-176))?
18
Calculate the common denominator of 20/3107 and (2/4)/(-15 - 5060/(-341)).
31070
Suppose 54794 = -4*x - x + 2*n, -3*n = x + 10969. Let l = 290947655/26558 + -1434/13279. Let s = l + x. Calculate the common denominator of 55/38 and s.
266
Let l = 359 - 351. Suppose 12*u - 24 = l*u. What is the lowest common multiple of u and 87?
174
Suppose 353*z = 23289 + 9540. What is the least common multiple of 24 and z?
744
Suppose 5*q - 1235 = -u, 51*u + 2*q - 2494 = 49*u. What is the least common multiple of u and 375?
3750
Let p(g) be the first derivative of g**3/3 - 5*g**2 + 11*g + 2. Let f(i) = -4*i - 62. What is the lowest common multiple of f(-20) and p(9)?
18
Calculate the common denominator of -51/80 and (-5610)/15840*(-9)/10.
160
Let g = 805712059/44244 + -6570/1229. Let x = g + -18204. What is the common denominator of x and -49/16?
144
Let a = 9907/44310 - 37/210. Let l = 989/25320 - a. What is the common denominator of 131/18 and l?
360
Let w = -17206 - -464495/27. Let l = 9733 + -86134/9. Let f = 162 - l. Calculate the common denominator of f and w.
27
Let f = -3666 - -3668. What is the lowest common multiple of 823 and f?
1646
Let g = 385195 + -159470857/414. What is the common denominator of g and 59/2070?
2070
Let c = -1200779/48354 + -2/8059. Calculate the common denominator of c and -88/15.
30
Let l(k) = 305*k + 1658. What is the least common multiple of l(-5) and 38?
266
Calculate the common denominator of (3 + (-13113)/4380)*((-516)/(-72) + -8) and 25/876.
1752
Calculate the common denominator of 0 + (-3)/(-18)*2256/(-160) and 27/40.
40
Suppose -5*k = 29 - 79. Suppose -51*o = -56*o + k. Suppose 3*a + 2*t = -123, o*a + 83 = -2*t + t. Find the common denominator of a and 19/6.
6
Let p = -2/133 + -1649/5320. What is the common denominator of -61/180 and p?
360
Let h = -2/8334331777 + 319829981983823/172720691746548. Let s = -227/314 + h. What is the common denominator of s and 121/10?
660
Let o = 43 - 38. Suppose -14 = o*x - s - 4, 0 = 2*x + 3*s + 4. Find the common denominator of 63/2 and (-53)/(-6) - (-3 - x)*4.
6
Let a = -678 - -682. Let t = 56 + -48. Suppose 38 + 42 = t*x. Calculate the lowest common multiple of a and x.
20
Let b(w) = -2*w**2 - 13 + 18*w - 2*w + 1. Let s be 3*(((-300)/(-9))/4 - 6). What is the smallest common multiple of 7 and b(s)?
14
Let l = -1348 + 1604. Suppose 10*b - 87 = -4*z + 5*b, 2*b = 5*z - 84. Calculate the lowest common multiple of l and z.
2304
Let o = -2305 - -2404. What is the smallest common multiple of 270 and o?
2970
Find the common denominator of 15/28 + (-12)/42 and (-1)/((-54)/219) + 37/(-222).
36
Let y = 2623 - 89107/34. Let u(g) = g - 4. Let k be u(7). What is the common denominator of y and (-1)/1 - (-28)/k?
102
Let z(r) = r**2 - 8*r + 11. Let w be z(6). Find the common denominator of w + (-47)/28 - 18/(-24) and -35/6.
42
Suppose d - 23 + 0 = 4*p, 0 = 3*p + 15. Suppose -f - n = 4*f - 10, -2*f - 4*n = -22. Suppose f - 21 = -2*x. Calculate the least common multiple of x and d.
30
Suppose 9*x = 12 + 15. Let o = 28 - 0. Let s = o - 10. Calculate the smallest common multiple of s and x.
18
What is the common denominator of -17/226 and 42769/180348 - (-12)/(-56)?
1356
Suppose -2*w + 181 = -5*d, d - 144 + 461 = 4*w. What is the lowest common multiple of w and 195?
390
Let w = 139/2103 - 252127/2128236. Find the common denominator of w and 59/92.
1012
Let k = -3/9745 + 770173/1032970. Calculate the common denominator of k and 0 + (-273)/48*1.
848
What is the lowest common multiple of (-38)/(-8) + -5 - (292534/8)/(-11) and 30?
16620
Let m = 1227 + -2172. Let s = m + 9389/10. What is the common denominator of -31/2 and s?
10
Suppose -y - 5*d = -1 - 54, 0 = 3*y + 2*d - 139. Let a(m) = -4*m - 143. Let f be a(-25). Let z = y + f. Calculate the least common multiple of z and 2.
2
What is the common denominator of 55/126 and (4 - -1)/1 - 7700/4312?
126
Let o be (8 - 17) + 18 + 4. Calculate the common denominator of 87/2 and (3 - (-10147)/(-1248)) + (18 - o).
1248
Let q = -18 - -4. What is the least common multiple of (2/q + 1)/(69/644) and 206?
824
Find the common denominator of 0 + (-1)/(-2) - (35 + 30924/(-792)) and ((-1)/(-2))/((-29)/(-24)).
319
What is the lowest common multiple of 3 and -11 + 37 - (3/12 - 42/(-24))?
24
Suppose 3*j + 15 = 0, -5*j = 5*y - 256 - 474. Let n = 175 - y. Calculate the least common multiple of 12 and n.
24
Let t(j) = j**2 - 11*j + 21. Let i be t(9). Suppose -7 + 2 = -4*l + i*a, l - 2*a = -5. Let r = -2 + 9. Calculate the lowest common multiple of r and l.
35
Let b = -14/12840613 - -8586376667673/1207017622. Let g = -7114 + b. Calculate the common denominator of g and 45/2.
94
Let z(v) = -5*v + 10. Let q be z(-7). Let l = q + -13. Suppose -5*r = -l - 8. Calculate the lowest common multiple of r and 10