+ 5937 = 3*y, -58*x - 3940 = -2*y - 53*x. Calculate the lowest common multiple of 20 and y.
7940
Suppose -447 = -112*m - 460 + 1133. Suppose 7*u - 40 = 3*u. What is the least common multiple of u and m?
10
Let y = 594 - 406. Find the common denominator of (8/(-64))/(-1 + 136/y) and -3/16.
208
Let o be 4 + 1 + 1 + (-104024)/17472. Let w = o - -2/273. What is the common denominator of w and 31/70?
280
Let n(d) = d**2 - 4*d + 3. Suppose 5*t + 5*b - 25 = 40, -2*t + 5*b = -61. What is the least common multiple of n(6) and t?
90
Let x(w) = 25*w**2 + 5*w**3 - 4*w + 8*w - 4*w**3 + 13*w + 10*w + 78. What is the smallest common multiple of 96 and x(-24)?
96
Let u = 67 - 86. Let b = u + -25. What is the smallest common multiple of (b + 26)*4/(-6) and 8?
24
Let x(d) = d**3 - 22*d**2 - 135*d + 30. Let z be x(27). Find the common denominator of -1 + (-2)/8*59 and z/18 + (-70)/240.
8
Let z(w) = 7*w + 217. Let c be z(0). Let d = 2171/10 - c. Find the common denominator of d and 2/12*100/(-4).
30
Let h = 68 + -60. Let i = 45 + -19. Calculate the smallest common multiple of h + 1 - (-23 - -22) and i.
130
Let h be -3 - (-1 + -1 + -1)*2. Suppose 0*t = -h*t + 18. Calculate the least common multiple of 7 and (12/t)/((-1)/(-4)).
56
Let p be ((-1)/700)/(40/32). Let v = 76129/3500 + p. Calculate the common denominator of v and 31/16.
16
Let c be 18/6 - 1150/376. Let o = 157/329 - c. Calculate the common denominator of o and 73/8.
56
Let x(k) = -446*k**3 + k**2 + 60*k + 60. Suppose 0 = 3*p - p + 2, 0 = o + p - 32. What is the least common multiple of x(-1) and o?
4917
Suppose 24*j - 11 = 21*j + 19. Let i(n) = 208*n - 2. What is the smallest common multiple of i(1) and j?
1030
Suppose 2*t - 56 = -5*r, -5*t = 3*r - 3*t - 36. Suppose -r = -p - 4*p. Calculate the smallest common multiple of (2 + -6)*-6 - (2 - p) and 21.
168
Suppose 16*q = -52*q + 952. Suppose 2*t - 20 = 2*x, -3*t - 2*x + x + 18 = 0. What is the lowest common multiple of q and t?
14
Let b = 2975212 - 9053881/3. Let t = b + 4274809/100. Find the common denominator of 39/2 and t.
300
Let n be (-1 - -2)/(12/144). Let f(t) = -n*t + 2*t + 6*t + 7*t**2. Calculate the smallest common multiple of 28 and f(2).
140
Let f(d) = d**3 - 2*d**2 - 2*d + 2. Let j be f(3). Let h = -5770 - -3460. Calculate the common denominator of 127/6 and (-1 - -1) + (h/96)/j.
48
Let l = -3063 - -1416. Calculate the lowest common multiple of (-1*1)/(l/(-150) - 11) and 12.
300
Suppose 0 = -3*d + 2*p + 53 - 13, -d - 4*p = 10. Calculate the smallest common multiple of d and 491.
4910
Let u(p) = p**3 + 6*p**2 - 4*p - 1. What is the smallest common multiple of u(-5) and (-2409)/(-146)*12/33*1?
132
Find the common denominator of (-84)/(-11529)*6/192 and 37/2440.
21960
Let v be (-6)/24*2 + (-554)/(-4). Let t = v - 109. Suppose 2*n + q = 4*n - 16, -q + 26 = 5*n. Calculate the least common multiple of t and n.
174
Let u = -2240 + 2560. Calculate the least common multiple of 640 and u.
640
Let z = -147/62 + 7/3. Let d be (-1)/2*4261/(-186). Let n = d + z. Find the common denominator of n and -15/7.
84
What is the common denominator of 47/4 and (10 + 26306/(-2940) - (-10)/(-8)) + 0?
420
Let k = 18 - 19. What is the common denominator of -95/18 and 6*(-5)/(-105) - k/(-21)?
126
Let i = -313143/40 + 7829. Calculate the common denominator of (-1995)/(-342)*(-63)/480 and i.
320
Let i = 31679/14777 - 2/2111. Let s be -16 + 17 - (-1670)/7. Let b = s - 240. Calculate the common denominator of i and b.
7
Suppose -a - 29 + 12 = -5*w, -3*a + 66 = -2*w. Calculate the lowest common multiple of a and (4/6)/((-2)/(-300)).
700
Let z be (-1297)/6*((-13923)/30)/7. Let m = z + -14335. Find the common denominator of -65/14 and m.
140
Let g = 27343 + -1312379/48. Find the common denominator of 29/496 and g.
1488
Suppose -156*j + 267 = -2073. What is the lowest common multiple of j and 5190?
5190
Let k = -121 - -201. Suppose 6*u = -2*u + k. Calculate the lowest common multiple of u and 22.
110
Let z = 18 + -9. Suppose -2*d = -5*x + x + 62, z = -3*d. Suppose 5*l - 44 = -4*t + 5*t, 0 = 5*l - 5*t - 60. Calculate the lowest common multiple of l and x.
56
Let b = -8856 - -894486/101. Find the common denominator of b and -21/101.
101
Let j = 11067 + -11013. What is the smallest common multiple of j and 1188?
1188
Calculate the common denominator of -1/578 and (2/(-70))/(56/(-9380)).
4046
Let o = 27287/5022 - 2/12555. What is the common denominator of o and 139/4986?
24930
What is the common denominator of 3 + ((-1862)/12)/7 and ((-21)/135)/((-90)/(-165) + (-68)/770)?
144
Let m(l) = 3*l - 14. Let r(q) = -6*q + 93. Let z be r(14). Suppose -8 = -2*s + 6*s, 0 = -5*g - s + 48. What is the lowest common multiple of m(z) and g?
130
Let r be (-9)/12 - 57/(-12). What is the least common multiple of (0 + -2)/(r/(-18)) and (2 + -12)*(-4)/24*3?
45
Let d = 178/19 - 3295/228. Let f be ((-177185)/10 - 6)/((-12)/(-2)). Let s = 2957 + f. Calculate the common denominator of s and d.
12
Let r = -10892 - -10901. Calculate the smallest common multiple of r and 154.
1386
Let l = 198 + -189. What is the least common multiple of 190 and 8*(-2)/(-4) + (-18)/l?
190
Let u(m) = m**3 - 8*m**2 - 2*m + 10. Let w be u(10). Let c = 202 - w. What is the least common multiple of c and 6?
12
Let l be ((-4)/(-6))/((-12)/(-9162)). Suppose -5*a - 39 + l = 0. Let j(f) = -f**3 + 15*f**2 + 14*f + 34. Calculate the lowest common multiple of a and j(16).
94
Find the common denominator of (-171)/(-798)*(-39)/9 and 71/56.
56
Let p(n) = 2*n**2 + 10*n + 24. Let i be p(-4). Suppose -i*r + 108 = -10*r. Calculate the lowest common multiple of 60 and r.
180
Let y = 2469455/56 + -44096. Find the common denominator of -129/70 and y.
280
Let d(l) = 17*l + 1. Let g be (2 + -1 - 1) + 1. Calculate the least common multiple of ((-4278)/529 + (-4)/(-46))/((-5)/10) and d(g).
144
Suppose -r - 2 = -2*r, o = -5*r + 39. Suppose -5*s = 2*w - 29, w - o = -4*w + 2*s. Calculate the smallest common multiple of 16 and (-119)/(-3) + w/21.
80
Let z(b) = b**3 + 2*b**2 - 201*b - 398. Calculate the lowest common multiple of z(-2) and 3986.
7972
Suppose -a = -7, 6*m - 184 = -42*a + 38*a. Calculate the lowest common multiple of m and 212.
2756
Suppose 15*q - 9 = 21. What is the smallest common multiple of q - 15/12 - (-371)/28 and 12?
84
Let u = -173 + 229. Calculate the common denominator of (-250)/u*(189/(-35) + 6) and (-2330)/360 - (-3)/1.
252
Let w = 32115 - 31533. What is the smallest common multiple of w and 132?
12804
Let g = -8/7075 - -156347/1867800. Find the common denominator of -1/33 and g.
1320
Let s = -68 - -66. Calculate the common denominator of 29/9 and 132/(-72)*1/s.
36
Let l = 2619/1342 - 144/61. Let h be 10337/(-4) + (8 - 5). Let f = h + 2559. What is the common denominator of f and l?
44
Let l = 50393/2064 - 954/43. Find the common denominator of l and (-16)/(-40) + (-413)/320.
192
Suppose -v = 5*v - 60. Let q be (64/v)/(1/5). Suppose 0 = -2*d + 3*c - 0 + 21, 4*c = -4*d + q. What is the least common multiple of d and 15?
45
Suppose 4*j - 110 = -1250. Let y be 8*4/(-24)*j. Find the common denominator of -95/12 and (y/(-186) + 0)/(4/(-3)).
372
Suppose 0 = 19*p - 1362 + 725 - 1548. What is the least common multiple of 2 and p?
230
Calculate the common denominator of 3/724 and 219/(-1086)*100/150.
2172
Let h be 6/(-14) + (1 - (-2976)/84). Calculate the common denominator of (-241)/99 - (-8)/h and -77/15.
165
Let o = -994 + 1021. Calculate the least common multiple of o and 4410.
13230
Suppose -2*u - 8*j + 4*j = -54, 0 = -2*u - 2*j + 56. Let k = -21 + u. What is the lowest common multiple of k and 49?
392
Let u = 1/49 + -415/1127. Find the common denominator of u and -49/24.
552
Let i be 1130*2/4*(-5 - 1480/195). Suppose -j - 35575 = -6*j. Let l = j + i. Calculate the common denominator of l and 1/2.
78
Calculate the smallest common multiple of 210 and 75688/102 - ((-352)/(-561))/16.
11130
Let a be -63*(-1)/2*766/3. Let k = -1536221/191 + a. Let b = -21043/5348 - k. Calculate the common denominator of 73/16 and b.
112
What is the smallest common multiple of (-7 + 0 + -15)/((-2)/1) and 120?
1320
Let s be (250/75)/(1*(-2)/(-12)). Suppose -27*f + 77 = -s*f. What is the lowest common multiple of f and 19?
209
Let a = -206 + 194. Let u(b)