t common multiple of p(-5) and 486.
486
Suppose 12*c = 24614 + 22378. Let n = 47125/12 - c. What is the common denominator of n and 35/24?
24
Let r be (-333)/(-185) - 2/(-10). Let a(d) = -d**3 + 12. What is the least common multiple of (6 - 98/(-28)) + 5/r and a(0)?
12
Let a be (-5 + 2/1)*(-2364252)/(-18). Let r = -175742823/446 - a. Find the common denominator of -55/2 and r.
446
Let u = -136124/846725 - 132/3079. What is the common denominator of 43/750 and u?
8250
Let a = 5/27619 + -3011271/4419040. What is the common denominator of -187/1800 and a?
7200
Let z(n) = -63*n**2 + 13*n + 2. Let q be z(-2). What is the common denominator of 106/q + 2/(-9)*-3 and -43/4?
92
Let f(x) = x**3 - 32*x**2 + 1. Let l = -626 + 658. What is the smallest common multiple of 18 and f(l)?
18
Let j(p) = -p - 8. Let t be j(-19). Suppose q + 3*l = t, -5*l + 17 = q - 0*l. Calculate the lowest common multiple of 7 and q.
14
Let g be 113 - (1 + -1 + 5). Let f be 0 - 4 - (-1659729)/g. Let n = 15367 - f. What is the common denominator of -1/3 and n?
36
Let a be ((-282)/(-10))/(-3*(-2)/210). Calculate the common denominator of 35/22 and 6/9*a/(-1148).
902
Suppose 4*s - 1 = b + 3*s, -s = -5*b - 25. Suppose -163 = 44*h - 417 - 406. What is the smallest common multiple of (-445)/(-15) + (-2)/b and h?
30
Let a(p) be the first derivative of -p**3 - 7*p**2/2 + 2*p - 59. Let u = 17 + -22. Find the common denominator of -23 and a(u).
1
Let i be ((-2)/(-5))/(1195/(-300) - -4). Suppose -35*r = -i*r - 121. Suppose -r*u = -7*u - 24. Calculate the lowest common multiple of u and 8.
24
Suppose -5656 = -n - 3*y, -3*n - y + 16989 = y. Let k = -880341 + 5315905/6. Let f = k - n. Calculate the common denominator of f and 11/38.
114
Let t = 9731 + -4720. Let b = t - 28585/6. Let l = b + -241. Find the common denominator of -143/18 and l.
18
Let i be (-306257)/(-2613)*(-2)/(-10). Let q = i - 72/65. Find the common denominator of -115/72 and q.
72
Let x be (-1 + 3)/2 + (-4553)/(-29). Let p = x + -149. Calculate the lowest common multiple of p and 11.
99
Let s = 72878/27 - 2697. Find the common denominator of -28/3687 and s.
33183
Suppose -3*v = -2*f - 25, -3*f - 4*v + 5 = -0. Find the common denominator of ((-3 + 6)/(-27))/((-22)/(-258)) and (f/(-9))/((-1)/(-42)).
33
Let c = -49697/82316 + 12/1583. What is the common denominator of -113/80 and c?
1040
Suppose 380*l - 2671 = -l - 4. What is the least common multiple of l and 8659?
8659
Let d = -1762 - -66891/38. Find the common denominator of d and 13/206.
3914
Find the common denominator of 113/160 and ((-72)/96)/(123/54 + 3).
3040
Let o = 285 + -269. Let r(m) = -m**2 + 4*m + 3. Let h be r(4). Suppose 4*g = h*w - 46, 2*w - 36 = 3*g - 6. What is the smallest common multiple of w and o?
144
Suppose -67*j + 40*j + 107174 = 55*j. Calculate the least common multiple of 11 and j.
14377
Suppose -5*t - 3 = -2*t - 5*u, -t = 4*u - 16. Let j(h) = -2*h + 41. Let s(l) = 1. Let b(x) = t*s(x) - j(x). Calculate the least common multiple of 13 and b(22).
91
What is the common denominator of -31/4 and 99/(-36)*60/(-3830)?
1532
Let k(t) = -t**2 - 14*t + 19. Let h be k(-15). Suppose h*c - 2*w - 224 = 0, -2*c + 62 + 54 = -3*w. Find the common denominator of -16/7 and 2 - -1*(-305)/c.
77
Let u = -75459/10 + 7537. Find the common denominator of u and ((-4)/(-32))/((-25)/(-410)).
20
Suppose -6*z + k = -5*z - 10, 4*k + 24 = 2*z. Suppose -c + v = c - 66, 0 = -4*v - z. What is the least common multiple of 12 and c?
96
Calculate the common denominator of (710/288 - (2 + 0))*474/(-158) and -55/1578.
12624
Suppose -2*o = 3*v - 77, 2*v - 3*o - 19 - 41 = 0. What is the smallest common multiple of v and 1857?
16713
Let y be (-20)/6 + (-6)/9. Suppose 291 = -192*j + 1059. What is the least common multiple of (y/10)/((-1)/35) and j?
28
Suppose -2*o + 10 = -0*o - 3*x, 4*o - 3*x - 20 = 0. Suppose o*l = 53 + 47. Suppose 43 + 39 + 30 = 7*h. Calculate the lowest common multiple of l and h.
80
Suppose -12*i = 176 - 500. Suppose 2*r = k - 38, 109 = 2*r - 7*r - k. Let v = r - -36. What is the lowest common multiple of v and i?
135
Suppose -723*u - 264 = -745*u. What is the least common multiple of 70 and u?
420
Let k = -16958 - -7291893/430. What is the common denominator of k and 14/387?
3870
Suppose 0 = 2*n - 9 - 33. Let t(w) = 2*w**2 + 4*w + 3. Let u be t(-7). Let c = 115 - u. What is the lowest common multiple of c and n?
42
Let l be (12/(-3))/(-2) + 22. Suppose 4*x = -4*z + l, -3 = 3*x + 3. Suppose 14 = 3*w + 4*u - 64, 4*u = 12. What is the smallest common multiple of z and w?
88
Suppose 4*g - 4*y + 652 = 0, -2*g - 7*y = -3*y + 320. What is the common denominator of -53/24 and (-4 + (-161)/(-28))*g/28?
24
Suppose -23*d - 5*f - 239 = -1584, f = 2*d - 127. Calculate the least common multiple of d and 8.
120
Suppose -290*v + 7554 = -15032 - 3804. Calculate the least common multiple of v and 21.
273
Let u(g) = -29*g + 1036. Calculate the lowest common multiple of u(31) and 11.
1507
Suppose 9*u + 8874 = 12*u. What is the common denominator of (-621)/u - 8/68 and 7 + (86/(-20) - 11)?
290
Let b(q) = -q**3 + 14*q**2 - 3*q + 6. Let d be b(12). Find the common denominator of (8/(-132))/(4/d) and (2/25)/(4/5).
110
Suppose 2*w + 1051 = -69. Let l = 566 + w. Calculate the lowest common multiple of l and 28.
84
Calculate the smallest common multiple of (240/32)/(3/18) and 70.
630
Let u(s) = s**3 + 5*s**2 + 6*s + 8. Let q be u(-6). Find the common denominator of 219/(-132)*(-32 - -30) and ((-12)/q)/(6/(-4)).
88
Let a = -193060031/970 - -199031. Find the common denominator of a and 8/13.
12610
Let i(v) = -184*v + 69 - 171 - 180*v + 377*v + v**2. Calculate the smallest common multiple of i(12) and 54.
594
Let s = -45593469/190 + 239965. What is the common denominator of -119/40 and s?
760
What is the least common multiple of 48 and 1151 + 3 + (-224)/784 + (-30)/(-7)?
9264
Suppose -2*k - 65 = 5*l, -4 + 29 = -k - 5*l. Let c = 138548/85 - 1630. Let z = c + -69/680. What is the common denominator of z and k?
8
Let q = 10827 + -10725. What is the lowest common multiple of q and 4/4 - (-456)/3?
306
Let g = 30025 + -600529/20. Find the common denominator of (-4)/((-2184)/1353) - 2 and g.
1820
Suppose -32*s = -20*s - 444. Let d = -15 + s. Suppose -2*i + m = 6*m - 18, 3*i = 2*m + 8. What is the lowest common multiple of i and d?
44
Let g = 2707808/16701111 + -1/530194. Calculate the common denominator of g and -27/686.
6174
Suppose -6 = -3*l + 9. Calculate the least common multiple of l and (1 - 0) + 96/18 + (-28)/21.
5
Let k be ((-14)/424)/(3 + -6). Let o = 1165/1113 - k. Find the common denominator of -41/2 and o.
28
Calculate the common denominator of (5/30*-22)/((-16)/22) and 79/46.
552
Suppose 35 = 3*g + 23. Suppose 219 = g*w - 3*a, 213 = 72*w - 68*w + 3*a. Calculate the least common multiple of w and 120.
1080
Calculate the common denominator of (2/5 - -1)/(2606*34/(-408)) and -127/30.
39090
Suppose -3 + 1 = -j. Let w(p) = -5*p**3 - p - 4*p**3 + 15*p**3 + p**2 - 4*p**3 + 4. What is the smallest common multiple of j and w(2)?
22
Suppose -8*j + 5*j = -x - 37, 88 = -4*x - 3*j. What is the common denominator of -54/7 and (-7061)/(-5175) + (-2)/x?
63
Suppose -37*g + 153*g = -100*g + 325728. Calculate the least common multiple of g and 100.
37700
Suppose 0 = -4*b - 3 + 23. Suppose h - 3*j + b*j - 885 = 0, -5*h - 4*j + 4395 = 0. Calculate the common denominator of -91/4 and -4 - (h/(-120))/5.
24
Let m = 570/49 - 6053/539. Calculate the common denominator of 28/121 and m.
847
Let v be (-2)/(-16) - (-10061558)/333. Let n = v - 30214. What is the common denominator of n and -1/15?
360
Let j be ((-11)/(-2))/(10/260*13). Find the common denominator of (65/320)/(j/(-55)) and -53/112.
448
Suppose -5*v = 3*s - 1905, 487*s = 483*s - 5*v + 2535. Calculate the smallest common multiple of 216 and s.
7560
Suppose 130*f = 132*f - 172. Suppose 5 = -2*d + 4*w + 53, -4*d + f = -3*w. What is the smallest common multiple of d and 32?
160
Let w(z) = 4*z**2 + 41*z + 10. Let f be w(-10). Suppose 2*x + 3*j - 56 = f, -2*j + 84 = 4*x - 3*j. What is the lowest common multiple of 508 and x?
5588
Let p(s) = 3*s**2 - 63*s + 50. Let v be p(20). Let m = 40 + v. What is the lowest common multiple of m and 25?
150
Let j = 11/145 + 9