t n = 10338 + -165429/16. Find the common denominator of n and 31/535.
8560
Let a = 4341 + -4324. Calculate the smallest common multiple of 10 and a.
170
Suppose 4*v + 62 = 106. Suppose b - 10 - v = 0. Calculate the smallest common multiple of b and 6.
42
What is the common denominator of -121/186 and (-12)/1054*(-112 - -111)?
3162
Let p = 792221/1794 - 726/299. Let c = p - 439. Let h = -519/5 - -1067/10. Calculate the common denominator of h and c.
30
What is the common denominator of (6 - (-531704)/(-93072)) + 9 + (-325)/35 and 46?
11634
Let i(u) = -114*u - 2224. What is the lowest common multiple of 2 and i(-20)?
56
Let k = -74 - -101. Suppose 0 = 9*s - 10*s - 24. Find the common denominator of (k/s)/3*62/3 and 39/2.
4
Suppose -55*o = -295*o + 960. Let c = -65 + 69. What is the smallest common multiple of c and o?
4
Let h(t) = 162*t**2 - 7*t - 10. Let p be h(8). Let b = 256958/25 - p. Let s = b + 52789/2300. What is the common denominator of 143/12 and s?
276
Let v be 2958751*(-1)/19530 - (-40)/360. Let t = -756/5 - v. Calculate the common denominator of t and 41/6.
1302
Find the common denominator of 20/(-12)*3 + 0 + 4339/874 and -107/76.
1748
Suppose 2*n = -0 + 2, 2*b - n + 181 = 0. What is the common denominator of (-41)/b + -10*(-5)/(-20) and 46/65?
585
Let g be (5 - 104/20)/((-1)/(-1803)). Let f = g - -349. Find the common denominator of ((-5)/(-4) - 0) + 2 and f.
20
Let z(b) = -26*b - 6. Let v be z(-6). Let t be 6 + v/6 + 0 + 0. Find the common denominator of -1 + (4 - 6) + t/(-4) and -53/28.
28
Let t = 315626 - 242085107/767. Let u = t - -49779/35282. Find the common denominator of (-1)/(-10) + (-615)/(-600) and u.
184
Let z = 8754/695 - 194/139. Calculate the common denominator of z and 97/190.
190
Let f = -92505 + 7400509/80. What is the common denominator of 83/1000 and f?
2000
Let u be (11 - 15)*(-282)/8. Suppose -3*q - 10 = -1, 3*q = -5*p + u. Let z = 2646 - 2643. Calculate the least common multiple of z and p.
30
Suppose 2*c = -0*c + 24. Suppose -6*x + 5*g = -7*x + 134, -2*x - 3*g + 268 = 0. Suppose -22*j + x = -460. Calculate the least common multiple of c and j.
108
Let i = 76 + -31. What is the smallest common multiple of 3/(-2)*48/216*-27 and i?
45
Calculate the smallest common multiple of 24 and (16/(-6))/(90/(-1620)).
48
Let d = -6/89 + -2070/979. Calculate the common denominator of -61/10132 and d.
111452
Let z(v) = v**3 + 10*v**2 + 20*v - 7. Let u be z(-7). Suppose 4*k - 13*k + 198 = u. What is the smallest common multiple of k and 24?
264
Suppose 251 = 8*s - 101. Suppose 224 = -47*x + 54*x. What is the lowest common multiple of x and s?
352
Let f(g) = g**3 + 43*g**2 + 34*g - 1766. What is the smallest common multiple of f(-41) and 2222?
2222
Let k be (6 - (-3 + 6)) + 2. Suppose 0 = -2*p - k*u + 43, 4*u = 100 - 104. What is the lowest common multiple of p and 128?
384
Suppose 4*c - f - 1303 = 0, 0 = 2*c + 134*f - 135*f - 655. Calculate the least common multiple of 2520 and c.
22680
Suppose 12*w = 11*w - 216. What is the smallest common multiple of ((-10)/3)/(18/w) and 25?
200
Suppose -4*q + 24 - 74 = 3*d, 5*d + 70 = -4*q. Find the common denominator of (-4)/8*(-134)/d and ((-37466)/468)/(374/(-102)).
30
Let z(p) = -15*p + 26. Let l be z(-9). Suppose -35 = 7*d - l. Calculate the lowest common multiple of 56 and d.
504
Let x = 20 + -24. Let w = 253 + -241. What is the common denominator of 38/9 and (-7*x/w)/(-1)?
9
Let n = 162 + -5. Let r = 221 - n. Calculate the smallest common multiple of r and 56.
448
Suppose -2*m + 8*m - 48 = 0. Suppose f - 9 = 3*c, 5*c - m = 3*f - 31. What is the least common multiple of f and 1/(-6) + (-469)/(-42)?
66
Let f(u) = -u**3 - 5*u**2 + 3*u - 3. Let w be f(-6). Calculate the lowest common multiple of 12 and (-16 + w)/(-2 - (-17)/9).
36
Let o = 11942 + -11627. What is the least common multiple of o and 630?
630
Let l = -293 - 2629. Find the common denominator of ((-1)/((-75)/(-80)))/(9/(-20)) and l/990 + (-2)/11.
135
Calculate the lowest common multiple of 1652 and (66 - 94)*(2 - 22/4).
11564
Let g = -2178 + 52285/24. Find the common denominator of g and 284/142*((-294)/256 + 1).
192
Let j be (2710/20)/(184833/(-2148)). Let d = j + -2/1867. Calculate the common denominator of d and 47/2.
66
Let h = 6623 - 6608. Suppose 4*s + 35 = 5*b, -4*b + 0*s - 13 = 5*s. What is the least common multiple of 4 and b - (4/1 - h)?
28
Suppose 3*n = -q + 548, -19*n = -q - 15*n + 506. What is the least common multiple of q and 848?
4240
What is the common denominator of 43/11 and ((-432999)/32490)/(-29) + 2/(-5)?
7942
Suppose 758*u - 777*u = -380. Calculate the lowest common multiple of u and 385.
1540
Calculate the lowest common multiple of 15 and (0 - -1)/((3/15)/(112/40)).
210
Let o(z) = -2*z**3 + 12*z**2 + 3*z + 7. Let r be o(-4). What is the least common multiple of 32/5 + (-9)/(r/14) and 10?
30
Let x = -1398491/364 + 3842. Let z be (-23)/(-24)*8964/(-1092). Let r = x + z. Find the common denominator of r and 33.
8
Let n = -92/3513 + -52065/53866. Find the common denominator of 89/24 and n.
552
Suppose -4*r - 2*w + 278 = 168, 4*r + 3*w = 111. Calculate the lowest common multiple of r and 81.
81
Let q = -2872 + 40303/14. Find the common denominator of 298/24 - (-7)/(-7) and q.
84
Let y = -2/219 - -1174/32631. Let u = -2847/596 + y. Let w = 30294/3295 + 4/659. What is the common denominator of u and w?
20
Let r(q) = -2*q**3 + 18*q**2 - 16*q + 82. Calculate the lowest common multiple of 1111 and r(5).
2222
Let t(r) = 15*r**2 + 1. What is the least common multiple of t(1) and (4 + (-9 - -8))*(-190)/(-15)?
304
Suppose -z = -6*u + 3*u + 268, -354 = -4*u + 3*z. Calculate the least common multiple of u and 6.
90
Let l = 10507/1494 - 118/83. Suppose 2*u + 0 - 4 = 4*c, -u = -3*c - 4. Calculate the common denominator of (-4)/c - (186/(-108) - 1) and l.
18
Let f(k) = 4*k**2 + 49*k + 38. Let i be f(-16). Let v = i + -266. Calculate the least common multiple of 2 and v.
12
What is the common denominator of ((-480)/(-459) - 1)*(-30)/(-21) and 22/255?
765
Let o = -26354/19 + 6086387/4389. Calculate the common denominator of -37/1188 and o.
8316
Let y = 3115 - 2575. What is the least common multiple of 90 and y?
540
Let r = 21616121/180 - 120089. What is the common denominator of r and 187/90?
180
Let r = 4309 + -3869. What is the smallest common multiple of 308 and r?
3080
Suppose 0*r + 2*r - 128 = 0. Let s = -61 + r. Calculate the common denominator of s*17*5/35 and -46/7.
7
Suppose y = 5*o + 327, -8*y + 5*o = -10*y + 669. Calculate the lowest common multiple of 96 and y.
7968
Suppose -116*s + 4351 = 4604 - 16957. Calculate the smallest common multiple of 24 and s.
144
Let f(x) = 4*x**2 - 12*x - 3. Let j be f(-2). Let y = -576 - -8632/15. What is the common denominator of (-85)/(-11) + (32 - j) and y?
165
Let b = -413633/16 - -25849. What is the common denominator of 97/2748 and b?
10992
Calculate the common denominator of -12*(-12)/36 + (3815/171)/(-5) and 50/33.
1881
Let u = -45 + 48. Suppose -3*b + 75 = 3*j, -u*b + 2*j - 3*j = -73. What is the least common multiple of b and 21?
168
Let d = -77 + 79. What is the common denominator of (-3567)/(-1848) - d - (-8)/28 and -75/32?
352
Let h be 7/(28/10) - (-4)/8. Suppose 3*b = -h*l + 5*l + 1, -4*b - 8 = -5*l. What is the least common multiple of 14 and l?
28
Let x(o) be the first derivative of 32*o**3/3 - 3*o**2/2 - 2*o - 9. Let a = 119 + -98. What is the smallest common multiple of x(-1) and a?
231
Let x be (-8)/(-24) - (-48)/(-9). Calculate the lowest common multiple of (-9)/2*6/(-3) and 27/15 + (-1)/x.
18
Suppose 5*o + 43 = 48. Let v be ((-18)/3)/6*o. What is the common denominator of v - ((-297)/30 + 2 + 1) and 56/5?
10
Let w be 8 + (-7 - -4) - 6. What is the common denominator of (w/(-12)*4)/((-80)/276) and 1/80?
80
Let v(c) = c**2 + 8*c - 6. Let i be v(-9). Suppose i*j - 78 = -g + 2*g, 3*j - 66 = 5*g. Calculate the common denominator of (1/(-3) - -1)/(8/j) and -49/6.
12
Let t = -130 - -136. Let h(z) = -z**3 + 9*z**2 - 14*z - 19. What is the least common multiple of h(t) and (1 - -1)*-1 - -7?
5
Let d = 7580471/232 - 32674. Let l = -13805/2088 - d. Find the common denominator of l and -23/202.
1818
Let w = 2698 + -2666. What is the smallest common multiple of w and 