t.
9824
What is the least common multiple of 360 and (-5*27/(-18) - 8)*-648?
3240
Suppose -19*n + 1150 = -18*n. Find the common denominator of (40/n)/(56/(-30) - -2) and 46/9.
207
Let a = -2209293 - -9124380183/4130. What is the common denominator of a and 45/2891?
28910
Let m = -887 - -1439. Suppose 16*u = 19*u - m. What is the lowest common multiple of u and -4*(4 + 7/(-2)) + 6?
184
Suppose 7*y = -p + 313, 7*p = 10*p + 6. What is the smallest common multiple of y and 108?
540
Suppose j - 2 = 2*s + 8, -s + 4 = j. Let n be (-9 - -3)/j - (-1 + -130). Suppose -13*z + 12*z = -n. What is the least common multiple of 16 and z?
1040
Let m(h) = 6*h + 22. Let z be m(-4). Let v be z/(-4) + (-20)/8. Calculate the lowest common multiple of 8 and (95/76)/(v*2/(-32)).
40
Suppose 9 = -2*i + u + 33, 10 = -5*u. Let m = 17 - 8. What is the smallest common multiple of i and m?
99
Let i = -52846/9 + 5866. Let r be ((-10356)/(-2610) - -2) + -6. Let u = r + 7811/3915. Calculate the common denominator of u and i.
27
Let n = 505 - 478. Calculate the common denominator of 226/16*12/n*-1 and (-4)/(-10) - 897/30.
18
What is the common denominator of 102/(-6390)*10/(-42) and 14/15?
22365
Let k = -1604 - -9703/6. What is the common denominator of -25/968 and k?
2904
Let z = -7671 - -61465/8. Let g = -8044 + 64447/8. Find the common denominator of z and g.
8
Let w be (-1)/(-4) - 147/12. Let n be (-66)/w*24/(-4). What is the common denominator of (-15)/n*(-78)/(-12) and 9/8?
88
Let a(m) = -m**3 + m - 8. Let x(s) = -s + 7. Let d be x(10). Calculate the lowest common multiple of 2 and a(d).
16
Let n = 86448783 + -147827409559/1710. Let f = 72/95 - n. Let z = 613/411 + -19577/1644. Calculate the common denominator of f and z.
36
Let h be 5 - (24/20*5 - 4). Suppose h*z = z + 20. What is the smallest common multiple of z and 2?
10
Let j be ((-28)/((-6)/(3 - 0)))/2. Suppose 11 + 7 = 2*t. Calculate the smallest common multiple of (j/((-147)/(-90)))/(7/49) and t.
90
What is the common denominator of ((-66)/(-308))/((-72)/322) - 6/8 and 4/14 - -87*235/(-27090)?
1032
Let w = -6 - -3. Let c = 4 + w. Calculate the common denominator of -23/12 and (c - -1) + (-267)/6.
12
Let w = 2043430 - 386210126/189. Let m = -311/28 - w. Find the common denominator of m and -97/90.
540
Let u(w) = w**3 - 7*w**2 + 8*w + 2. Let l(t) = 2*t**2 + 6*t - 8. Let q be l(6). Suppose -97*j + q = -92*j. Calculate the lowest common multiple of j and u(6).
140
Suppose 0 = -3*u + 3*t + 2*t + 33, -u + 2*t + 12 = 0. Let h = -1956 - -21477/11. Find the common denominator of (4/(-3))/((u/(-5))/6) and h.
33
Calculate the common denominator of 177/236*(-544)/(-110124) and 34/77.
100947
Let m = -314 + 288. Calculate the smallest common multiple of 6 and (-3008)/(-52) + (-4)/m.
174
Suppose 0 = -r - 5, 5*y - 1663 = 2*r - 1023. What is the smallest common multiple of y and 2373?
14238
Let f(o) = -270*o - 212. Calculate the lowest common multiple of 12 and f(-15).
23028
Let n = 152 - 434/3. Calculate the common denominator of 65/274 and n.
822
Let z be (1/10*-1)/(696/(-226020)). Let y = z - -3/116. Let x = -191872/11845 + 1638/103. Find the common denominator of x and y.
230
Suppose 73*p + 68*p = 165*p - 168. Suppose -7 = -d + 4*q, 2 = 3*q - 1. Suppose -d = -p*x + 136. What is the smallest common multiple of x and 18?
126
Let z = 415763/5 - 83548. Let x = -28083/70 - z. Calculate the common denominator of x and 15/16.
112
Suppose -2467 = -4*h + 3*u - 4*u, -5*h = u - 3083. Suppose -4*m + 2*m = -3*q + 892, -2*q - 4*m = -h. What is the least common multiple of 20 and q?
300
Let z = -156 + 179. Let d(j) = j**2 - 22*j + 21. Calculate the smallest common multiple of 44 and d(z).
44
Let i = -11 + 41. Suppose k = 3*m + 681, -5*k = -4*k - 2*m - 685. Suppose -234 = 17*o - k. What is the least common multiple of i and o?
270
Let k(m) = m**3 + 7*m**2 + 6*m - 4. Let b be k(-6). Calculate the least common multiple of 4 and b/((-1 - -7)/(-3)).
4
Let j be 20/70 - 40/(-7). Calculate the common denominator of 62*(1 - 14/16) and j/16*72/162.
12
Let i = -1044233/8568 + 7670/63. Calculate the common denominator of -5/132 and i.
4488
Suppose -1 = 2*g + 3. Find the common denominator of 1368/(-112) + g + 6 and (-100)/(-30)*(2 - (-57)/(-12)).
42
Suppose 2*x - 418 = -4*y, 21*x - 22*x = -2*y + 199. Calculate the least common multiple of y and 14.
714
Find the common denominator of 75/8 and (-24)/(-15) - (-169157)/(-109820).
2312
Let f be (-1 + (-4 - 0))*(-86)/(-5). Let g = f + 88. Calculate the common denominator of (-32)/18 + g + (-1561)/126 and 113/10.
30
Let x(m) = m**2 - 2*m + 10. Let d(c) = -c - 11. Let g be d(-11). Let v(t) = -t**3 - 15*t**2 + 16*t + 1. Calculate the lowest common multiple of x(g) and v(-16).
10
Let y = 54003 + -12960739/240. Calculate the common denominator of y and 71/48.
240
What is the lowest common multiple of 1 + 6262/10 + 3532/4415 and 34?
10676
What is the lowest common multiple of 254 and (2 - -84) + 78 + -88?
9652
Let g = 35538 + -209693/6. Let i = g - 584. What is the common denominator of -7/23 and i?
138
Let v(c) = 10*c**2 - 3*c - 2. Let t be v(-4). Suppose 4*s - 334 = t. Find the common denominator of (-1 - 1)*(-15)/s and 49/12.
84
Suppose -34*v + 5 = -199. Suppose 0 = -2*y + 3*t + 1 + 10, 0 = -3*y + 4*t + 18. Suppose -7*d + v*d + y = 0. What is the least common multiple of d and 7?
70
Let j = -486 - -516. Let k(g) = g - 9. Let r be k(13). Suppose -q + 6*q - 121 = b, 0 = r*q - 5*b - 101. What is the least common multiple of j and q?
120
Let r = -615 + 871. Let d = -252 + r. Calculate the least common multiple of 2 and d.
4
Suppose -80*u - 116 = -83*u - t, -4*t = u - 46. What is the least common multiple of 69 and u?
2622
What is the common denominator of 38/135 and 2282/17160 + 6/(-78)?
5940
Calculate the common denominator of -1*(-127)/(-48) + 19/133*35 and 11/304.
912
Let x be (5/(-10))/((-46)/24 + 2). What is the least common multiple of 126/(-105)*20/x and 14?
28
Let r be (50/4)/(-3 + (-399)/(-132)). Suppose -10*g = -15*g - r. What is the common denominator of -3 + 6 + g/4 and -61/38?
38
Suppose 2*v - 2*z - 14 = 0, -2*z - 4 + 2 = 4*v. Calculate the least common multiple of 280 and (-52)/39*(-1 - v).
280
Let d be (-1487607)/418 - 6/(-57). Let a = d + 3559. What is the common denominator of a and (-1)/3 - (-30)/144?
152
Let x = 3377139/56 + -60307. What is the common denominator of x and ((-57)/56 - 1) + 2?
56
Let y(i) = -i**2 + 25*i + 59. Suppose -4*f + 117 = 13. Suppose 18 = c - 3*g, f = 3*c - c - 4*g. Calculate the smallest common multiple of y(27) and c.
15
Suppose -998 = -35*h + 5512. What is the smallest common multiple of 27 and h?
1674
Let z be (-89)/((2/(-4) - -1)*2). Let f be (z/(-329) - 0)/(-1). Let q = -6/47 - f. Calculate the common denominator of 29/9 and q.
63
Let b = -15 + -11. Find the common denominator of (-145)/(-12) - 0 - 1 and 4/b - 787*(-10)/1300.
60
Let m be 2/14 - (0 + (-3627)/91). What is the common denominator of (158/m*-6)/(1680/(-100)) and -53/64?
448
Let y(f) = 175*f + 15436. Let o = 56 - 36. What is the lowest common multiple of o and y(-88)?
180
Suppose 5*l + 2*z = -269 + 89, l = 4*z - 58. Let o = l + 80. Let n = o + -38. Calculate the lowest common multiple of n and 10.
20
Let i = 573145 - 196015453/342. Find the common denominator of -11/399 and i.
2394
Let q = -15/662 - 29219/10592. Let u = 1/3 + 223/6. Calculate the common denominator of q and u.
32
Calculate the smallest common multiple of 396 and 27/18 - (712/(-16) - -2).
396
Let x = -1/1123 - 86459/13476. Calculate the common denominator of x and 23/438.
876
Calculate the common denominator of ((-68)/16)/(14318/8) and -41/4.
28636
Let x = 6084 + -928. Calculate the smallest common multiple of x and 7.
36092
Calculate the common denominator of (418/(-1764))/1 - (5177/279 + -19) and 149/42.
294
Let p(u) = 3 - 3 + 1 - 5 + u. Let q be p(6). What is the lowest common multiple of -3*(-4 + 10)*(-3)/q and 21?
189
Let v(y) = 2*y**3 - 2*y**2 + 18*y - 50. Suppose -3*m = -12*a + 15*a - 18, 2*a = -3*m + 15. What is the least common multiple of v(m) and 78?
1560
Let c(t) = -t**3 + 13*t**2 - 13*t - 11. Let l be c(4). Suppose -11*p + l = -8*p. What is the smallest common multiple of 5 and p?
135
Suppose 0*f + 3 = -3*f + 33, -4*u = f - 