he common denominator of 7/19866*(575/15 - 11) and 56/387.
4257
Let d = -8329 - -8835. What is the smallest common multiple of d and 322?
3542
Suppose 18*u = 12115 - 8083. What is the smallest common multiple of u and 504?
2016
Let q = 23035/2758 + 1/197. Find the common denominator of q and -83/136.
952
Let k be -2 + (4 - (-2200)/(-1178)) - 0. Let u = k - 50447/11780. Find the common denominator of u and (-2 + 106/(-14))*(-4)/8.
140
Suppose 3*m + 6 = -2*l + 13, 5*l + 30 = 2*m. Suppose -10 = -y + 5*j, 2*y + 2*y - m*j - 70 = 0. What is the least common multiple of 12 and y?
60
Suppose -20 = -m - 16. Calculate the common denominator of 38247/(-990) + m/30 and -21/10.
10
Let s = -3 + -3. Let l(z) = -13 - 5 + 3 - 2*z - 3*z. Calculate the lowest common multiple of 3 and l(s).
15
Let v = 91543593/2 + -1281024309/28. Let d = -20925 + v. Calculate the common denominator of (-28 - (-3591)/126)/(8/(-77)) and d.
112
Let z(p) = p**3 + p - 2. Let x be z(0). Suppose -5*v - 6*t = -4*t - 36, -5*v - 5*t = -30. Calculate the lowest common multiple of v and 0/x - -5 - -1.
24
Suppose 3*q - 96 = -3*c, -4*q = c - 179 + 147. What is the least common multiple of 48 and c?
96
Let h be (-57)/12 + 4 - 2114870/(-5025720). Let d = h - -5/4053. Calculate the common denominator of d and -57/7.
1302
What is the common denominator of 2 + (-7498)/3960 + 121/(-1089) and 83/495?
1980
Suppose -143*w + 7538 = -12195 - 4291. Calculate the smallest common multiple of w and 378.
1512
Let w = 403/183 + -2064353/1464. Let r = 1415 + w. What is the common denominator of 3/7 and r?
56
Suppose 5*t - 10 = 0, -5*k + 0*k = -t - 28. Suppose 0 = -11*a + k*a - 160. Let l = -12 - a. What is the lowest common multiple of l and 4?
20
Let a(z) = z**3 - 8*z**2 + 3. Suppose 29*t + 40 = 34*t. Let i be a(t). Suppose n - 50 = -x, 0 = 4*x - 5 - i. What is the least common multiple of 5 and n?
240
Suppose k = -14*k + 75. Suppose 4*z = -k*p + 45 + 17, 4*z - 22 = -p. What is the lowest common multiple of 25 and p?
50
Let l(a) = 7*a**3 + a**2 - a. Let s be l(1). Let k(b) = 3*b**2 - 4*b - 7. Let r(g) = 19*g - 252. What is the lowest common multiple of k(s) and r(14)?
112
Suppose -30*u - 3981 - 5679 = 0. Let a = 546 + u. What is the least common multiple of a and 18?
2016
Suppose p + 5*d = -9, 3*d + 0*d + 1 = -p. Let j be (3 - 10) + 74 + -4. Calculate the lowest common multiple of p and (-2 - -1)/(3/j*-3).
77
Let y(v) = -v**3 - 5*v**2 - 16*v - 75. Let i = -337 - -332. What is the smallest common multiple of 4 and y(i)?
20
What is the common denominator of (-427)/6*55/4235 and -143/372?
4092
Let q = 1236221/45 - 27471. What is the common denominator of -29/2208 and q?
33120
Let u = 237311/308 - 8442/11. Let l = -200/159 + 18601/9858. Find the common denominator of u and l.
868
Let i(l) = -l. Let f be (-1 - (-3)/6)*-52. Suppose -94 = -3*d + f. What is the least common multiple of d and i(-2)?
40
Suppose 2*v - 4*z = -5*z + 1, 4 = -v + 4*z. Suppose v*k + 6 = 2*k. Let t(m) = 11*m - 9. Calculate the smallest common multiple of 18 and t(k).
72
What is the smallest common multiple of 3356/((-32)/((-112)/7)) and 20?
16780
Let b be (108/(-6) - -6)/((-4)/(-2838)). Let h = b - -459773/54. Calculate the common denominator of h and 41/2.
54
Calculate the common denominator of 5698/822 + (-4)/((-24)/(-42)) and -62/27.
3699
What is the common denominator of 2/2 - 50/8 and (-2)/(-48)*369/12?
32
Calculate the common denominator of 23 + -16 - (-3 - (-93)/42) and -97/1204.
1204
Suppose -618*i + 649*i = 4836. Calculate the lowest common multiple of i and 156.
156
Let f(v) = -128*v - 15480. Suppose 0 = 5*p - 68 - 342. Calculate the smallest common multiple of p and f(-121).
328
Suppose 128*z = 129*z + 173. Let d = -17144/99 - z. Find the common denominator of d and -19/45.
495
Let r = -138 + 141. Suppose r*j - j + d = 88, 0 = 2*j - d - 92. Calculate the least common multiple of 12 and j.
180
Calculate the common denominator of (-20)/(-375)*(338 + 1)*1/32 and -83/1160.
5800
Let g = 2649 + -39766/15. Let v = g + 547/180. Let x = -158 - -293/2. What is the common denominator of v and x?
36
Let o = 26793 - 24543. What is the lowest common multiple of o and 1575?
15750
Let t = -25/3 - -17/9. Calculate the common denominator of (-2737)/(-680) + (-17 - -12) + (-2)/8 and t.
360
Let s(m) = -6*m**3 - 37*m**2 - 6*m - 5. Let t be s(-6). Calculate the smallest common multiple of -3 + -4*(2 + 2 + t) and 7.
7
Suppose -5*a + 1640 = -783 + 263. Calculate the smallest common multiple of 216 and a.
432
Let o = 152 - 108. Let x = 64 - o. What is the lowest common multiple of x and 20?
20
Suppose -166*z + 10435 = -17785. What is the lowest common multiple of z and 255?
510
Calculate the common denominator of 23/315 and 584/(-6132) - 634/8190.
4095
Let g = -38343 + 38345. What is the least common multiple of 1988 and g?
1988
Calculate the common denominator of -139/6 and ((-961)/(-186))/(1 + -2 + -100).
606
Suppose -3*o + 13*o = 0. Let k(u) = u**3 + u**2 + 3*u + 40. What is the smallest common multiple of 25 and k(o)?
200
Let r be (-13 - (11 + -46))/(2/60). Suppose r - 2001 = -9*a. Calculate the smallest common multiple of 10 and a.
1490
Let g be 1/4 + (-261)/36. Find the common denominator of (g/(-63))/(3/549) and (-123)/21 - ((1 - 3) + 2).
21
Let t = -3825 + 248598/65. Calculate the common denominator of -7/1690 and t.
1690
Let h = -11331/5 - -2276. Calculate the common denominator of 22/125 and h.
125
Let l(o) = 7*o**2 + 10*o + 23. Let z(i) = 12*i**2 + 19*i + 47. Let m(w) = -5*l(w) + 3*z(w). Calculate the least common multiple of 24 and m(-5).
48
Suppose 35*q - 25*q + 34*q - 1320 = 0. Suppose -2 + 58 = 4*b. Calculate the smallest common multiple of q and b.
210
Suppose 23*u + 327371 - 331833 = 0. What is the smallest common multiple of 11 and u?
2134
Let j = 41187/7 + -5849149/994. What is the common denominator of j and -91/216?
15336
Let u = -133325243/18360 - -196066/27. Calculate the common denominator of 75/4 and u.
6120
Suppose 11*i = 21*i + 210. Let v be (-14 + 1)/(20 + i). Suppose -v*a + 126 = -82. What is the lowest common multiple of 4 and a?
16
Find the common denominator of (-5)/((-585)/(-26)) + (-2061)/(-891) and 5/341.
341
Suppose 3*m + 4*l - 33 = -12, 2*m + 6 = 4*l. Suppose 4*t = n - 15, 0*n - 4*n - m*t + 41 = 0. What is the least common multiple of n and 86?
946
Let k = -57 - -255. Let j = 200 - k. Let x = 0 + 2. What is the smallest common multiple of x and j?
2
Suppose 223 = -5*h - 2*z, -4*h - 2*z = -z + 179. Calculate the common denominator of (432/h)/((-9)/(-10)) and -3/10.
30
Suppose 0 = 7*q + 1524 - 6480. Find the common denominator of 2/30*q/(-4) and -11/12.
60
Let t = -51/5 - -13306/1305. Calculate the common denominator of -68/27 and t.
783
Let v(p) = 2*p**2 + 2*p. Let b(k) = -14*k**3 + 3*k + 3. Let d be b(-1). Suppose -d*g + 4*g - 30 = 0. What is the lowest common multiple of v(g) and 15?
60
Suppose 0 = 3*l + 2*l - 15. Suppose -2*n - l*n + 30 = 0. Suppose -2*x = -3*c + 64, 4*c - x = -0*c + 87. Calculate the lowest common multiple of n and c.
66
What is the common denominator of 4 + 3 - 8/576*533 and 103/1656?
1656
Calculate the common denominator of 6/(-9) + (21666/12240*2 - 3) and 145/408.
2040
Let c be 1*((-1)/4)/(1/(-16)). Suppose -11*q + 15 - c = 0. Find the common denominator of 5/157 and q.
157
What is the least common multiple of 43 and (-1)/(-20*4/(-144))*-5?
387
Let f = 186470 - 250615661/1344. What is the common denominator of -145/12 and f?
1344
Suppose -1516 = -4*r + 4*o, -1495 = -4*r - 21*o + 18*o. Calculate the smallest common multiple of r and 2.
376
Suppose 4*h = 0, -68 - 100 = -2*b + 4*h. Calculate the lowest common multiple of b and 117.
3276
Let t(r) = 110*r + 76. Let b be t(4). Let y = b - 9397/18. Calculate the common denominator of y and -19/345.
2070
Let f = -83566 - -14958355/179. Let h = 838 + -4128/5. What is the common denominator of f and h?
895
What is the common denominator of 2 + (-5 - 1 - (-8 - 792/(-260))) and -2/39?
195
Let c be (3 + -2 - 0) + -2 + 3. Suppose 7*b + 105 = c*b. Let v = b - -32. What is the smallest common multiple of 14 and v?
154
Let b = -1052779/36 - -29240. Let t = -1104523/540 + 8181/4. Find the common denominator of t and b.
540
Let j = -221 - -242. Suppose -j*f = -2