 5*j**2 - 6*j + 6. What is the least common multiple of 38 and r(1)?
3534
Suppose 97*i = -103*i + 7000. What is the common denominator of i and -64/115?
115
Let r(q) = q**3 + 6*q**2 + 42*q - 46. Calculate the lowest common multiple of r(1) and 278.
834
Suppose 0*l = -3*l + 9. What is the common denominator of l/2*(3 - (-462)/(-18)) and -34/7?
7
Suppose 16*q = 32*q - 2400. Suppose 39*b - 14*b = q. What is the least common multiple of b and 4?
12
Suppose -6*p + 3*p + 12 = 0. What is the lowest common multiple of (-283 - -275)/((-1)/(3/2)) and p?
12
Let d = 195 - 172. Suppose -2*q + 4 = 5*y, -18*y = -d*y. Calculate the lowest common multiple of q and 4.
4
Let y = 44/81 - 2072/2025. What is the common denominator of (-5 - 105/20) + 6/(-4) and y?
100
Let d(g) = 5*g**2 + g - 1. Let o be d(1). Suppose 0 = -9*h + 10*h - o. Suppose -36*c + 31*c = -35. What is the least common multiple of h and c?
35
What is the common denominator of 33/210 - (-4)/7 and (32/(-80))/(24/(-71))?
420
Suppose 0 = 3*a + 9 + 24. Let c = a - -19. Suppose 0 = 3*b - 4*m - 50, 40 = 3*b - 5*m - 6. What is the smallest common multiple of b and c?
88
Let p = -206970441 - -7451411575/36. Let b = p - 13215. Calculate the common denominator of b and 101/96.
288
Let x(c) = c**3 + 7*c**2 - 12*c - 53. Let k be x(-11). Let b = k - -3625/9. Calculate the common denominator of b and -25/9.
9
What is the lowest common multiple of 435 and (203*3/15)/((-570)/25 + 23)?
3045
Let l = -2447 + 2452. Calculate the smallest common multiple of l and 515.
515
Let j(a) = 3*a**2 - 13*a - 3. Let q be j(5). Suppose 4*b + 3*i = -21, -2*b - i = q + 2. Find the common denominator of 1 - b - (-451)/132 and 75/22.
132
Suppose q = 5*b + 14, -q = 2*b - 6*b - 12. Suppose k + 63 = q*v, -2*v + 0*k + 31 = -k. Let z = 13 + 3. Calculate the least common multiple of v and z.
16
Suppose r + r = -o + 10, -2*o + 10 = -r. Suppose o*l + 3 = 81. Let n = l - 9. What is the smallest common multiple of n and 8?
8
Let n = 32 + -9. Suppose -89*u + 2 = -91*u. Calculate the common denominator of 17 - 14 - u/((-10)/103) and n.
10
Suppose -3*j + 142 = -74. Calculate the lowest common multiple of (-56)/(8*42/(-288)) and j.
144
Let u(r) be the third derivative of -r**5/20 - 13*r**4/12 + r**3/3 - 34*r**2. What is the least common multiple of 30 and u(-8)?
90
Let u be (-2*(-679)/(-2))/(-8). Suppose 4*i = 5*i + 5*h + 70, 5*i - 4*h + 437 = 0. Let w = i + u. What is the common denominator of w and 101/12?
24
Suppose 13*g + 3 = 133. Let j(v) = -11*v - 68. Calculate the smallest common multiple of g and j(-7).
90
Suppose 0 = 2*v + 5*x - 0*x - 50, -4*v + 4*x + 100 = 0. Calculate the common denominator of 10/v - (-332)/(-480) and (249/(-108))/(6/4).
216
Let o = 2/15213 + 1140959/121704. Suppose 0 = -10*z - 10707 - 11533. Let b = -22163/10 - z. What is the common denominator of o and b?
40
Suppose 2*k + 4*p = 28, 2*p + 6 = 2. Calculate the lowest common multiple of 0 + 38/2 + (-1 - -3) and k.
126
Suppose -3*o - 4*w = -1, 3*o + 15*w - 13*w = 11. Calculate the lowest common multiple of 2 and o.
14
Let v = 1605/44 + -494339/13596. Find the common denominator of v and 55/12.
1236
Let c = 12911 + -6094087/472. Calculate the common denominator of c and -113/1062.
4248
Let f be (-4)/22 + 220479/396. Let y = -2259/4 + f. Let n = -3/4276 - -201107/192420. Find the common denominator of n and y.
90
Suppose 18 + 6 = 2*k. Let f be (-558)/(-3)*-1 - (-4)/k. Let i = -209 - f. What is the common denominator of 12/11 and i?
33
Let v(y) = -y**2 + 14*y - 39. Let i be v(10). Calculate the smallest common multiple of 42 and 19/((-209)/132)*i/(-2).
42
Let u = -13184 - -13736. Calculate the smallest common multiple of 1380 and u.
2760
Let k(c) be the first derivative of c**3/3 + 3*c**2 + 7*c + 113. Let r be 3/5 - (-99)/(-15). What is the lowest common multiple of 7 and k(r)?
7
Let d = 7/4 - -113/12. Let z be 2840/6*(-324)/18. Let t = z - -187505/22. Find the common denominator of d and t.
66
Let w be (0*(-1)/(-3))/3. What is the smallest common multiple of (-222)/(-16) + 16/128 and (0 + -7)*(w - 1)?
14
Suppose 5*r = -d + 3*r + 240, -1195 = -5*d - 5*r. What is the smallest common multiple of 21 and d?
714
Let z(a) = 391*a + 3694. What is the smallest common multiple of 1425 and z(-9)?
9975
Calculate the smallest common multiple of 288 and (76 - 96) + -2 + 3046.
6048
Let v be (651/84)/(1/24). Let p = v - 174. Calculate the least common multiple of p and 54.
108
Let q = -3054/11 + 165778/99. Suppose -3*n - w - 4178 = 0, -3*n + 1388 = -4*n - 5*w. Let i = q + n. Calculate the common denominator of -151/6 and i.
18
Find the common denominator of (-42 - -46) + 10021/(-2516) and 3/34.
2516
Let o = 10161/304 - -327/304. Find the common denominator of (86/(-1575))/(4/(-3)) and o.
1050
Let y(d) = -300*d + 38. Let h be y(-6). Let t = h + -20231/11. Let p = -12 + -10. What is the common denominator of t and p?
11
Let q = -3372 + 3612. Calculate the lowest common multiple of 400 and q.
1200
Let y = 667/195 - 4/195. Suppose -5*o - 1325 = -4*t, t - 5*o = -t + 665. Calculate the common denominator of y and (-3)/(t/(-96) - -3).
35
Calculate the common denominator of 71/714 and (-8 - (-1592330)/196350) + (-4)/30.
7854
Suppose 0 = 4*u - 2*m - 56, 5*u - 73 = -2*m + 6. Calculate the lowest common multiple of (1/6*-3 + 1)*174 and u.
435
Let m(b) = 30754*b**3 + 2*b**2 - 8*b - 9. Let r be m(-1). Calculate the common denominator of (411/(-4))/(r/(-102)) and -59/3.
402
Suppose 0*t + 364 = 4*t. Let w = -574/3 + 863/6. Calculate the common denominator of w and (-6)/(60/t) + 4/2.
10
Suppose 75*m + 3*b = 80*m + 1135, 0 = -4*m - 2*b - 886. Let x = m - -284. Calculate the least common multiple of 40 and x.
120
Let h be ((-20)/540)/((-4)/6*344). Let j = 272495/291024 - h. What is the common denominator of 79/10 and j?
470
Let k = 15432 + -154281/10. Find the common denominator of -33/23164 and k.
115820
Calculate the common denominator of ((-8)/54)/((-2167)/33 + 17) and 1/219.
657
Suppose 3*c - 67 - 155 = -t, -5*t + 4*c = -1072. What is the smallest common multiple of t and 360?
1080
Let i = -177398 - -29093373/164. Calculate the common denominator of i and -93/1066.
2132
Let g(f) = -27*f + 305. Let m(b) = 3*b - 3. Let y be m(2). Suppose 5*j = -y*u + 67, -u + 17 = 2*u - 5*j. Calculate the least common multiple of u and g(11).
56
Suppose -16*t - 176 = -24*t. Let a = 2 + t. Calculate the smallest common multiple of (-2 + 18)*3*a/18 and 1.
64
Let t = -75986 + 383119/5. Let j = -37693/60 + t. Calculate the common denominator of 39/4 and j.
12
Let k = -377413/1860 - -3044/15. Calculate the common denominator of k and -67/1860.
1860
Suppose 0 = 38*w + 33*w - 2130. Let h = 114 - w. What is the smallest common multiple of 9 and h?
252
Suppose 6*i = -6*i + 10*i + 1088. What is the least common multiple of i and 176?
5984
Let x = -11868357/710 + 16716. Calculate the common denominator of -52/11 and x.
7810
Let x = -12 + 21. Suppose d - 2*d + 90 = 0. Suppose -5*g + 2*f + 115 = 0, 6*g - g + 3*f - d = 0. Calculate the least common multiple of g and x.
63
Let p = -215 - -214. Calculate the common denominator of ((-1498)/(-24))/7 + p and 151/18.
36
Suppose -3*c = -3*m - 7464, 0*m + m - 2*c + 2491 = 0. Let n = 14977/6 + m. Let p = -237071/22 - -10778. Calculate the common denominator of p and n.
66
Suppose 0 = -5*j + 15*a - 19*a + 110, 2*a = -3*j + 62. Let p(d) = -17*d - 7. What is the smallest common multiple of j and p(-5)?
546
Let d = 53107 + -15878957/299. Calculate the common denominator of d and -49/9.
2691
Let b(f) = f**3 + 3*f**2 - f - 10. Let p be b(-5). What is the common denominator of -75/2 and -5 + 0 - p/(-77)?
14
Calculate the smallest common multiple of (24/96)/((-13)/(-6032)) and 522.
1044
Suppose -45*o + 343035 = 12*o + 240*o. What is the lowest common multiple of 1155 and o?
1155
Let j(l) = l**3 - 3*l**2 + 35*l + 2470. What is the lowest common multiple of j(0) and 1?
2470
Suppose c + 2*b - 6 = 0, 3*c + 5*b = 27 - 9. Let t(x) be the first derivative of 5*x**3/3 - 4*x**2 - x - 6. Calculate the least common multiple of c and t(3).
60
Let c be 224555/(-24) + 4/(-16). Let u = -9355 - c. Find the common denominator of 83/45 and u.
360
Let z(x) = 12*x + 5. Let r be z(0). Suppose -23 = -k - r. What is th