y.
858
Let o be ((-6)/4)/(4/(-56)). Suppose -3*g = 6 - o. Suppose 22 + 8 = g*n. What is the smallest common multiple of 10 and n?
30
Calculate the common denominator of (-343)/(-429) - (-68)/(-102) and -145/78.
858
Let s = 26429/10 - 2640. Let c(h) = 8*h**3 - 8*h**2 + 3*h - 3. Let j be c(2). Find the common denominator of 14/(-45)*j/40*-10 and s.
90
Let o = -3178 - -28630/9. Calculate the common denominator of 137/48 and o.
144
Calculate the common denominator of 61/48 and (-249)/(-54) + 48/216.
48
Suppose 16*x = 6*x + 1030. Let r = -85 + x. What is the least common multiple of r and 6?
18
Suppose 24*h = 17*h + 336. Let s = h - 47. What is the least common multiple of 179 and s?
179
Let u = -65379 + 296493764/4535. Let r = 33923/5442 + u. What is the common denominator of 133/30 and r?
30
Suppose -4*y - 440 = 5*d, d = 2*y - 5*y - 319. Calculate the common denominator of 65/22 and (27/15)/((-78)/y).
286
Let t = -41 + 34. Let m(g) = 3*g + 22. What is the smallest common multiple of 5 and m(t)?
5
Let n = -162 + 353/2. Calculate the common denominator of n and ((-6)/15 - 4) + 1.
10
Let z = 41473/41880 + -16/1047. What is the common denominator of z and -47/80?
80
Suppose 2*w - 8 = 0, 0 = -5*o - 2*w + 3. Let p = -387/340 + -1/85. Find the common denominator of ((-312)/27)/o*(-6)/4 and p.
60
Suppose -10*i - 13 = -43. Suppose i*y + 2*y = -25, -29 = -n + 3*y. What is the lowest common multiple of 8 and n?
56
Let p = 18 + -17. Suppose -3*h - 324 = -3*k, -k - p = 2. Calculate the common denominator of 25 and 6/9*h/(-2).
1
Suppose 11*k - 12*k + 5*g = 2, -2*k = 2*g - 8. What is the smallest common multiple of 24 and k?
24
Let o be (329330/24)/5 + 0. Suppose 6*j = -130 + 16606. Let a = o - j. Find the common denominator of a and -17/10.
60
Let r = 474 + -9953/21. What is the common denominator of r and (-21)/9*50/7?
21
Calculate the common denominator of -73/6 and 3/(5850/4795) - 2.
390
Let h be (-2)/(-4)*-2*-178. Suppose -4*c - 396 = -15*c. Calculate the common denominator of h/8 + 1 + 0 and c.
4
Let s(a) = -a**2 - 9*a + 13. Let q be s(-10). Suppose 0*f - 2*f + 22 = 4*t, -q*f - 33 = -5*t. Calculate the least common multiple of 7 and t.
42
What is the common denominator of 158/80 + 4/16 and 29/5?
40
Let s(a) = 3*a - 100. Calculate the least common multiple of (-2)/9 + 254/9 and s(37).
308
What is the common denominator of 2/(-4) - 1016/192 and (39/(-45) + 1)/((-16)/(-664))?
120
Calculate the smallest common multiple of ((-4)/(-20) + 1)/(7/140) and 81.
648
Calculate the least common multiple of -2*6/12*-4 and 18.
36
Let x(t) = 65*t + 7. Calculate the least common multiple of x(1) and 40.
360
Suppose 4*z + 183 = 247. What is the least common multiple of z and 32?
32
Let m(z) = -z**3 + 18*z**2 - 17*z + 47. Let v be m(17). Suppose 5*j - 2 = 5*u - v, 0 = -4*u - 2*j + 18. What is the lowest common multiple of u and 8?
24
Suppose 0 = -3*j + 3, 4*b - 4*j - 184 = -12. Let x = 1/793 + 72161/1586. Calculate the common denominator of 20/(-6) - b/(-22) and x.
6
Let x be (-10)/(-15)*247739/(-11). Let f = x + 15012. Find the common denominator of 19/15 and f.
165
Let d(x) = -x**3 - 6*x**2 + 4*x + 3. Let g(a) = 2*a**3 + 12*a**2 - 7*a - 7. Let u(i) = -9*d(i) - 4*g(i). Calculate the lowest common multiple of u(-7) and 20.
40
Suppose 0 = -15*r + 5*r + 3820. Suppose 230 = 17*c - r. Calculate the least common multiple of 21 and c.
252
Let z(d) = 2*d**2 + 88*d + 96. Calculate the least common multiple of z(-43) and 1190.
1190
What is the common denominator of -43/5 and (-226)/(-84)*(-12)/(-168)*-6?
490
Let o = -3349 - -30109/9. Calculate the common denominator of -17/66 and o.
198
Suppose t + 1 - 15 = 0. Let l(z) = 2*z + 6. Let f be l(-5). What is the smallest common multiple of 15 + 2 - (-3 - f) and t?
112
Let m(j) = 6*j - 6. Let i be m(3). Suppose -r = 2*r - i. What is the lowest common multiple of -3*(-2 - 16/(-12)) and r?
4
Let n = 166 + -162. What is the smallest common multiple of n and 774?
1548
Let n(t) = -23*t + 5. Let r(c) = 12*c - 2. Let p(q) = 4*n(q) + 9*r(q). Calculate the lowest common multiple of p(1) and 16.
144
Suppose 0 = -4*g + 87 + 41. What is the lowest common multiple of 12 and g?
96
Find the common denominator of 453/(-60) + 1/(-5) and -77/684.
684
Let n = 29513/10 - 2946. Let d be 70*(665/6)/(-7). Let q = d + 33433/30. What is the common denominator of n and q?
10
Calculate the common denominator of -62/21 and (-2)/(10/25 - (-334)/(-385)).
126
What is the smallest common multiple of 4 and (-3 - -35)*69/12 - -4?
188
Let s(d) = -d. Let n be s(-5). Suppose -c = -n*c. Suppose c*m - m - 11 = -3*z, 2*z - 3 = 5*m. What is the least common multiple of z and 11?
44
Let b(k) = 20*k + 121. Calculate the least common multiple of 48 and b(-5).
336
Let k(g) = 5*g**2 + 38*g - 74. Let u(h) = 2*h**2 + 13*h - 25. Let d(f) = 3*k(f) - 8*u(f). Find the common denominator of 43/7 and d(10).
7
Let v(j) = 4*j**2 - 6*j + 20. What is the smallest common multiple of v(4) and 6?
60
Let h(j) = -j**3 - 7*j**2 + 11. Suppose 4*g = 3*t - 16, 5*g + 16 = 2*t - 11. Calculate the smallest common multiple of h(g) and 6 + -3 + (-2)/2.
22
Let z = -508223/1223384 + 1/9866. Find the common denominator of z and 133/12.
744
Let z = -4484/3 - -1511. Let f = -3 + -1. Calculate the common denominator of ((-9)/(-2))/(f/7) and z.
24
Suppose 3*s = n + 23 + 15, 2*s - 16 = -4*n. Let c(y) = -7*y + 1. Calculate the lowest common multiple of s and c(-1).
24
Calculate the common denominator of -47/366 and 177/(-30) - 7 - -4.
1830
Let v(l) = -l**3 + 4*l**2 - l + 3. Let r be v(4). Calculate the common denominator of -1/6 and (20 - -19)/(r*38).
114
Suppose -5*k - 28 = w - 70, -5*w - k + 114 = 0. What is the smallest common multiple of w and 18?
198
Let w = 7174 + -236705/33. What is the common denominator of -59/327 and w?
3597
Suppose -3*k = 2*z - 128, -5*k - 4*z = -30 - 186. Let o = k - -7. Suppose -4*b + o + 21 = 0. What is the common denominator of b and -35/2?
2
Let a = -54 + 63. Suppose z - 2*z + a = 0. Let g(d) = d**2 - 5*d + 7. Calculate the least common multiple of z and g(5).
63
Let z = 95882777/12 + -7994852. Let b = -4626 - z. Find the common denominator of b and -67/3.
12
Find the common denominator of (-9)/12*-1*1240/(-252) and 4.
42
What is the common denominator of (-2)/966*(-6030)/(-60) and 73/69?
966
Let d = 352 - 2469/7. Find the common denominator of d and 44/3.
21
Suppose s = -3*p + 36, 2*s + p - 56 = -p. Suppose -q + 19 = 3*t, q - t + 22 = 37. Calculate the least common multiple of s and q.
48
Suppose 3 + 3 = 2*q. What is the lowest common multiple of ((-3430)/(-110) - 1) + (-6)/33 and q?
30
Suppose -4*y - 2*v - 24 = 0, 45 = -4*y + 4*v - 3. Calculate the common denominator of (12/30)/(y/86) and 700/(-96) + (-1)/3.
40
Let f(i) be the second derivative of i**4/6 - i**3/3 - i**2 + 22*i. Calculate the smallest common multiple of f(-3) and 2.
22
Let g = -2828569/6 - -473264. Let a = g - 1842. Find the common denominator of -34/27 and a.
54
Let l = -1589/360 - -1/72. Let o = 1/24482 + -1236359/440676. Find the common denominator of o and l.
180
Let b(v) = 1 + 5*v - 2*v**2 - 16*v - 6. Calculate the lowest common multiple of b(-4) and 10.
70
Suppose 0 = -2*q + 4*q + 5*x + 6, -5*q + 4*x + 18 = 0. What is the lowest common multiple of 38 and q?
38
Let c = 500 + -401. What is the smallest common multiple of 22 and c?
198
Let k be (-2*3)/(6/(-20)). Let z = k - 10. What is the common denominator of (-2 - -5)/(z/6) and -4/13?
65
Let c(q) = q**3 + 5*q**2 - 7*q - 6. Let s be c(-6). Let d = -18979/7 + 2704. Find the common denominator of d and (-98)/(-12) + 2 + s.
42
Let h be (-4)/6 + (-46)/(-27). Let m = -727/54 - h. Find the common denominator of 5/7 and m.
14
Suppose 0 = -29*g + 32*g - 1218. What is the least common multiple of 20 and g?
4060
Let a be ((-2)/(-4))/(2/(-48)). Let c = 379/688 - -1/86. Calculate the common denominator of c and (-3)/(8/a*-15).
80
Let u(b) = -b**2 + b + 34. Let f be u(6). Suppose -f*g = 4*c - 108, 2*c + 0*c - 2*g = 34. Calculate the least common multiple of c and 2.
22
Calculate the lowest common multiple of 200 and ((-265)/(-8) - -2) + (-96)/768.
1400
Let p = 10427 + -208471/20. Suppose 2*t + m = 6, -22 - 3 = -5*t - 5*m. Calculate the common denominator of p and 1/(-8)*5