 + (0 - -2)?
20
Suppose 106*w + 18*w = 79236. What is the lowest common multiple of 1065 and w?
3195
Let z = 4122 + -3930. What is the least common multiple of z and 384?
384
Suppose 197*q = 199*q + 36. Calculate the common denominator of 77/16 and ((-33)/16)/(q/30).
16
Let f(j) = -2*j**3 + 4*j**2 + 14*j - 9. Let w be f(6). Let m = w + 219. Calculate the lowest common multiple of 9 and m.
18
Let b be ((7 + -7)/7)/(1*-2). Suppose -46 = -5*z - 2*a, b*z - 3*z + 36 = -3*a. What is the least common multiple of z and 10?
10
Let l = -364 + 533. Let v = -161 + l. Suppose u - 2*u + 6 = 0. What is the lowest common multiple of v and u?
24
Let b be 59 + -62 - (-3742 + 1). Let a = b + -44885/12. What is the common denominator of 52/9 and a?
36
Let k(u) = 225*u**2 + 20*u - 18. What is the smallest common multiple of k(-2) and 96?
40416
Calculate the smallest common multiple of 146 and (71 + -9)*-1*-5.
22630
Let k = -4240729/1680 + 52251/20. Let t = k - 604/7. Find the common denominator of 9/20 and t.
240
Calculate the common denominator of ((-2)/65)/(1/5) + (-3332)/(-12870) and -77/90.
990
What is the common denominator of (-18696)/2304 + 2 + 6 and 13/48?
96
Suppose -89*b + 164704 + 117426 + 405128 = 0. Calculate the smallest common multiple of b and 1386.
54054
Suppose -10*d + 11*d - y = -43, -4*y - 98 = 2*d. What is the smallest common multiple of 55 and (-3*(-100)/d)/((-2)/12)?
440
Find the common denominator of -47/3 and -5 + 198/42 - (-3 + (-1603)/(-735)).
15
Let d = 313 + -521. Let w = d + 256. What is the lowest common multiple of 26 and w?
624
Let u be 2660/(-22)*(1 + 0). Let d = -4561/44 - u. Let h = -103772 + 830247/8. Calculate the common denominator of d and h.
8
Let w(d) = -d**3 + 6*d**2 + 2*d + 45. Let n be w(-7). Suppose 0 = -34*s + 38*s - n. What is the least common multiple of 5 and s?
835
What is the common denominator of -39/10 and 1*4/38 - (-95347)/(-24415)?
10
Suppose 770*y - 772*y + 1964 = -2*k, y - 5*k - 954 = 0. Calculate the least common multiple of 7 and y.
6923
Suppose 7*u - 34 = -10*u. Calculate the common denominator of (-8)/(-16)*(-282)/(-62) - u and 27/10.
310
Let h(f) = 9*f**2 + 143*f + 102. Let i(z) = z**3 + 7*z**2 + 3*z - 7. What is the lowest common multiple of h(-16) and i(-6)?
1298
Let j be 1692/324 - 6/27. Calculate the least common multiple of 120 and (j + (-60)/10)*-84.
840
Calculate the common denominator of (-159424)/(-52640)*((-2)/(-2) - (-15)/(-12)) and 68/3045.
6090
Calculate the common denominator of (-7728)/(-2295) + (-480)/144 and -79/306.
1530
Suppose -21*x = -67*x + 7452. What is the lowest common multiple of x and 18?
162
Let g = -1354 + 1359. Calculate the least common multiple of g and 9/(-3)*(150/9)/(-2).
25
Let c(g) = -g**3 - 3*g**2 - 7*g - 42. Let q be c(-4). What is the common denominator of -71/56 and (-255)/(-238) + 2 + q?
56
Suppose 35*u - 68*u = -13728. What is the lowest common multiple of u and 256?
3328
Let v be (2 - 1 - -1) + 9/3. Suppose -62 + 487 = v*m. Suppose m + 3 = 5*n + 2*c, 2*n + 3*c - 33 = 0. What is the least common multiple of 4 and n?
36
Let h = 28774 + -27739. What is the lowest common multiple of h and 828?
4140
Suppose -8*i = 6*i + 336. Let u be -4 + -27*i/(-2 - -6). Let t = u - 1227/8. What is the common denominator of t and -53/7?
56
Suppose -4*j + 35 = p, 118 = 3*p - 3*j + 2*j. Let o = p - 48. Let h(z) = z**2 + 5*z - 26. What is the least common multiple of 3 and h(o)?
30
Suppose -1164 = -360*z + 276. What is the smallest common multiple of z and 3021?
12084
Suppose -501*t = -510*t + 10539. Calculate the least common multiple of t and 2.
2342
Let j = 141983/140 - 7061/7. What is the common denominator of -93/766 and j?
7660
Let w be (-18)/24*38/(-45). Let n = w - 217/15. Let q = 6295/77 - 550/7. Find the common denominator of q and n.
66
Suppose 15*q = 20*q - 25. Suppose -2*y = -2*r - 18, -y - r = -q*r - 3. What is the least common multiple of y and 14?
154
Let r be 14/140 - (7062/20 + 3). Let k = 371 + r. Calculate the smallest common multiple of k and 17.
255
Let m = 299511 + -161436370/539. Find the common denominator of 1*(752/48)/(22/(-6)) and m.
539
What is the common denominator of ((-984)/(-128))/(1 - (-1)/4) and -99/1492?
7460
Let w(y) be the first derivative of y**4/4 + 2*y**3/3 - 19*y**2/2 + 6*y - 1. Let a be w(13). Let k = a - 16029/7. What is the common denominator of k and 28/11?
77
Let l(y) = 1800*y**3 + y**2 + y - 2. Let f be l(1). Suppose -15*z = -27*z + f. Calculate the least common multiple of z and 6.
150
Let q = -4130 - -4148. Let d(v) = 3*v**2 + 5*v - 2. What is the lowest common multiple of d(-4) and q?
234
Let x = 94 - 96. Calculate the common denominator of -53/10 and (-24)/(-144)*(-3)/x*-21.
20
Suppose -5*u + 0*d + 20 = 5*d, 2*d - 20 = -4*u. Suppose 0 = v + 2*b - u*b, 5*v + 2*b = 88. What is the smallest common multiple of 20 and v?
80
Let a = 1817 + -1047. Suppose 0 = -5*q - 3*p - 1265, 3*q + 0*p = -4*p - a. Calculate the common denominator of 53/11 and 40/q*255/6.
55
Suppose -5*t + 20 = -25. Suppose 5*b - 1 = t. Suppose -b*u = -3*u - 5*l - 10, 23 = -5*u + 2*l. Find the common denominator of u and 10/13.
13
Let f be ((-24811)/(-9503))/((-86)/10). Let q = f - 3/731. Find the common denominator of -58/143 and q.
143
Let y = 180 - 172. Suppose p + 2*s = 32, p = 4*s - 0 + y. What is the smallest common multiple of p and 12?
24
Let t = -122 + -1243. Let s(n) = 8*n + 3. What is the common denominator of s(-3) and (t/(-28))/(-1) - 2/8?
1
Let o be (1 - (-44007)/8) + (25 - 26). Suppose 0 = -2*a + 64 + 10956. Let d = o - a. What is the common denominator of -57/4 and d?
8
Find the common denominator of ((-2)/4 + 0)*(-549)/81 and -1*(-2)/(-6) + 2405/(-3330).
18
Let z = 419 + -323. What is the lowest common multiple of z and 117?
3744
Let d = -161 + 321. Let g be 4 - (-1964164)/d - 3. Let v = 12278 - g. Calculate the common denominator of v and 21/16.
80
Let j = 13843 + -7395. What is the smallest common multiple of j and 1240?
32240
Suppose -6*p = -40 - 8. Suppose p*c - 142 = 42. Suppose -c*v = -21*v - 48. What is the smallest common multiple of 27 and v?
216
Suppose -9*w = -7*w + 240. Let n = w - -126. Calculate the lowest common multiple of 48 and n.
48
Let l be (0 - 4)/(4/12). What is the common denominator of -34/3 and l/150 + (-1646)/1300?
78
Suppose -4*h - 29 = -2*q - 9*h, 2*q = -4*h + 24. Let l = -144 - -56. What is the least common multiple of 1/((-4)/l*q - 0) and 3?
33
Suppose p = 11 + 1. Let k be -1*3 - (3 - (p + -4)). Suppose -k*g + 54 = g. What is the smallest common multiple of 24 and g?
72
Suppose 41*x + 54978 = 118*x. What is the least common multiple of x and 24?
2856
Suppose 120*v - 240 = 117*v. Let z = -1619/114 + 7/19. What is the common denominator of v/(-60) - (-33)/81 and z?
54
Let q(p) = 9*p - 5. Calculate the least common multiple of q(3) and (-250)/(-4)*(-10 - 1404/(-130)).
550
Let u = 394414/37 - 10659. What is the common denominator of 23/19 and u?
703
Suppose -4*g = 2*k - 16, 0*k + 8 = -2*k. What is the common denominator of 163/g + ((-8)/(-12))/2 and -93/214?
214
Suppose 87*j - 181*j = 137*j - 2772. Calculate the least common multiple of j and 15525.
62100
Let r = -311 - -316. Suppose -21*c = -22*c + r. Suppose 2*s - 60 = 4*b, 13 = s + 2*b - 9. Calculate the lowest common multiple of c and s.
130
Suppose 94*q - 44*q = 30300. What is the lowest common multiple of 22 and q?
6666
Let v(h) = h**3 - 4*h**2 + 11*h - 8. Let x = -2233 - -2245. Calculate the smallest common multiple of x and v(7).
216
Suppose 2*f - 12 = -4*d, -4*f + 1 = -5*f + 5*d. Find the common denominator of 8/11 and 3*(-34)/(-492)*f/2.
451
Let p = -8 + 12. Let i = 74777/9254 - 6/661. What is the common denominator of i and 174/88*p/(-6)?
154
Let t(u) = -u**2 + 6*u + 23. Let w be t(-3). Calculate the common denominator of 3302/585 - w/5 and -23/2.
18
Suppose -4*s = -5*i + 2515, -1144 = 5*s + 5*i + 2011. Let c = -9419/828 + 284/23. Find the common denominator of c and 1671/s + 4/14.
180
Let a(x) = -x**3 + 17*x**2 + 88*x - 23. Let t be a(21). Suppose -5*w = -t - 9. Let l = 497 - 2422/5. Find the common denominator of l and w.
5
Let i(u) = u**3 + 4*u**2 - 45*u - 9. Let n be i(-8). Suppose 96*o - n*o - 9 = 0. Calculate the smallest common multiple of o and 93.
279
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