2090
Let m = -4098310795/2760670094 - 376/4877509. Let q = -36/2335 - -126938/660805. Let t = q - m. Find the common denominator of t and 13/4.
124
Let v = 8159/10 + -813. Find the common denominator of v and -73/10413.
104130
Let x = -7111 + 7156. What is the least common multiple of 249 and x?
3735
Let h = 152/5 + -1071/40. Let t = -18836 - -1582171/84. Find the common denominator of t and h.
168
Suppose 20*i = 298 + 1102. What is the smallest common multiple of i and 9?
630
Let d = 32 - 30. Let z = 228 + -219. What is the common denominator of 12/(-3) + z/d + -1 and 95/22?
22
Let o = 202 - 2. What is the lowest common multiple of o and (9912/49 - 2) + (36/(-42))/3?
200
Let w be (-212)/(-53) - 31042/(-11856). Let s = -5/741 - w. What is the common denominator of s and 32/49?
392
Let m = 6021 - 451606/75. Let d be (-4)/720*15154/17. Let n = d - -8/153. Calculate the common denominator of m and n.
150
Let k = 165981 + -25229219/152. Calculate the common denominator of k and 113/2584.
2584
Let u = 3/162425 + 3800289/24688600. Calculate the common denominator of 101/16 and u.
1520
Let b = -40432 - -434846158/10755. Let r = b - -268939/344160. Calculate the common denominator of r and (-24)/128*-4 - 2148/528.
352
Let a = 551/21 + -17177/672. What is the common denominator of -9 + -7*1698/(-1008) and a?
96
Let z = 239365246705/72 - 3324600685. Let x = 83368 + z. Find the common denominator of x and 77/16.
144
Let q be 2/((-3)/(-54)*-4). Let y(l) = 0*l**2 + 2*l**2 + 13 - 21 - 3*l**2 - 13*l. What is the least common multiple of 12 and y(q)?
84
Let f(b) = 5 - 3 + 5*b - 4*b + 10. Let c be f(0). What is the common denominator of -23/48 and 213/c - -1 - (0 - 0)?
48
Let c = 379013/44 + -8613. Let a = 4779/1940 + 3/3395. What is the common denominator of c and a?
308
Suppose 0 = 3*n + 3*j - 21, 3 = -n + 3*j + 26. Suppose 16 = y + n. Suppose -14*q = y*q - 38. What is the smallest common multiple of 6 and q?
6
Let l be 138/5*15/3. What is the common denominator of -19/20 and l/(-96) - 15/(-3)?
80
Let y = -838 + 1457. Let k = y + -595. What is the lowest common multiple of 40 and k?
120
Suppose -2*o + 3*n - 21 = 3*o, 0 = -2*o + 4*n. Let r(u) = -u**3 - 3*u**2 + 19*u + 13. What is the lowest common multiple of 1/1*(-10 + 11) and r(o)?
7
Let x = 33145/12 - 2756. Let h = 928408822478/44694653745 - 1/92535515. Let g = h + -17/161. What is the common denominator of g and x?
12
Let l(d) = 3*d - 99. Let c be l(23). Find the common denominator of c/(-20)*((-59)/27 - 2) and -1/262.
2358
Suppose 6*t + 2443 + 995 = 0. Let j = 1171/2 + t. Find the common denominator of j and -17/78.
78
Let u = -4330/29 + 541085/3654. Find the common denominator of 97/198 and u.
1386
Let r = -10 - -16. Let s(n) = n + 1. Let w(v) = -2*v**2 + 12*v - 17. Let y(g) = -2*s(g) - w(g). Calculate the lowest common multiple of y(6) and r.
6
Let j(d) = 2575*d**2 + 3*d. Let f be j(-2). Let r be -2*f/(-15)*(-1)/8. Let v = 170 + r. Find the common denominator of v and 97/12.
60
Let i = -21/335 + -6634/17085. Let n = i + -15/17. Calculate the common denominator of n and (-1144)/(-1628)*-1*(-1)/(-2).
111
Let a be 6/10*1/7011. Let b = a + 350497/619305. Let q = -2825/159 - b. Calculate the common denominator of q and 12/5.
15
Let y(f) = 4*f + 85. Let k be y(22). Let c = 191 - k. Let g = 17 - 1. Calculate the least common multiple of g and c.
144
Let q(r) = 3*r - 15. Let h be q(12). Let p = 52877/16 + -3307. What is the common denominator of 2 + 1525/(-70) + 6/h and p?
16
Let k = 5130123/4 + -74720791/60. Let r = -37178 + k. Let v = 29/25 - 707/825. What is the common denominator of r and v?
330
Let i be 1/(2/(-42)) - 39/(-13). Let r be (i/36*(0 - 0))/1. Find the common denominator of 23/6 and -2 - (41/9 - r).
18
Suppose 11*o - 60737 = -60671. What is the smallest common multiple of o and 250?
750
Let f = -3568 - -7938747/2225. Calculate the common denominator of 103/2670 and f.
13350
Suppose -36*m + 13882 = -18194. What is the lowest common multiple of m and 243?
2673
What is the lowest common multiple of 48 and 96380/316*3*1?
14640
Let i(x) be the second derivative of -x**4/12 + 5*x**3/6 - 6*x. Let u be i(6). What is the common denominator of 4 + u/(-39)*(-106)/8 and 6/11?
286
Find the common denominator of -97/330 and 7730*(-13)/(-128700) - 3/15.
990
Let m be 32 - 0/4*(-2)/(-4). Suppose -2*t = -3*t + m. Suppose 0 = 12*v - t - 100. Calculate the smallest common multiple of v and 7.
77
Let h = -532346837/1488 + 357760. Calculate the common denominator of h and -143/192.
5952
Let p(r) = r**3 + 5*r**2 + 5*r + 12. What is the smallest common multiple of p(-4) and 29 + 2 + -1*(-2 + 5)?
56
Suppose -2*f = m - 15, 4*f - f - 5*m = 16. Suppose 22 = -25*k - 3. Find the common denominator of 11/15 and 142/(-54)*(k - f/(-4)).
180
Suppose 5*h + 2*i = 520, 7*i - 3*i + 338 = 3*h. Let b = -206 - -214. Calculate the least common multiple of h and b.
424
What is the common denominator of -31/140 and 12/54 - ((-6 - -11) + 30682/(-6300))?
2100
Let c be (-5)/(-2) + 0 + 860319/(-344142). Let v = c + 2236867/535332. Find the common denominator of -22/7 and v.
28
Suppose 8*l + 6 = 2*l. Suppose i - 2 = -i, d = -i + 12. Let c = l + d. What is the lowest common multiple of c and 11?
110
Let a be 35 + (-40)/5 - 1. Suppose -a + 626 = 3*k. What is the smallest common multiple of k and 4?
200
Let r = -2/575325 - -1338014179/1150650. Let j = r - 1160. Calculate the common denominator of j and -31/12.
12
Suppose 2*v - 263 = 73*a - 68*a, -3*v + 366 = 2*a. What is the least common multiple of v and 93?
372
Let q(c) = -2*c**2 + 9*c + 101. Let g be q(9). Suppose 84 = g*l + l. What is the smallest common multiple of l and 252?
252
Let h = 197/14 - -10/7. Let y be 226/(-44) - 15/(-3). Let z = y - -23/88. What is the common denominator of z and h?
8
Let l = -42 + 82. Let r(c) = -3*c + 67. Calculate the lowest common multiple of r(9) and l.
40
Let w = 20 + -16. Calculate the common denominator of (-123)/36 - w/2 and (-10)/(-45) + (-812)/36.
12
Let i(q) = 161*q + 491. What is the smallest common multiple of 330 and i(-3)?
1320
Let d be 2*(-4)/16 + 142021/(-2). Let t = d + 492028/7. Let q = t + 40749/56. Calculate the common denominator of -13/33 and q.
264
Suppose -26 = -5*f - 11. Suppose 0 = -f*l - 2*l + 110. Calculate the common denominator of -67/8 and ((-2)/(-2))/(l/(-46)).
88
Let u = -2903/11 - -264. Suppose 0 = h + 3, 0 = -z - 4*h + 11 - 27. Calculate the common denominator of u and ((-5)/(-4))/(3/z).
33
Let h = 202445/24 + -8439. Suppose 3*g - 6374 = 2*a + 9496, 4*g - 7935 = a. Let n = 71485/9 + a. What is the common denominator of n and h?
72
What is the least common multiple of 96/9 - 10/(-30)*-2 and 222?
1110
Suppose -103*z - 18*z - 39*z = -59200. What is the smallest common multiple of 160 and z?
5920
Suppose 5*b = -3*z - 22, 6*z - 2*z + 8 = 4*b. Find the common denominator of -53/9 and ((-6)/z - 0)*444/81.
9
Let v(r) = 3 + 58*r - 56*r - 5. What is the smallest common multiple of -1 + (0 + 2 - (2 + -2)) and v(5)?
8
Let m = 53/456 - -1/114. Find the common denominator of m and -79/898.
3592
Let u(s) = -10*s + 208. Let w be u(16). Suppose -144*v + 138*v + w = 0. Calculate the least common multiple of 130 and v.
520
Suppose 2*z = 10, z - 8 = -b + 1. Let c be 986/(-1440) - b*2/(-36). Let m = c - -407/80. Find the common denominator of m and 103/6.
24
Suppose 84728 - 289064 = 9*d. Let n = -5/71 - -5228/639. Find the common denominator of ((-1)/20)/((-11)/(d/18)) and n.
45
Let x = -2442 - -2468. What is the smallest common multiple of 544 and x?
7072
Calculate the common denominator of (-24 - -25)*493/204 and ((-230)/24 - -2) + -2.
12
Let f = -87397/18 - -4858. Find the common denominator of f and -107/4966.
44694
Suppose -1007*t + 1020*t - 533 = 0. What is the least common multiple of t and 8?
328
Let x(o) = -o**3 + 3*o**2 - 2*o + 4. Let s be x(3). Let g be 1*s - 1/((-63)/42427). Let v = g + -669. Find the common denominator of v and -7/2.
18
Let c = 4 + 2. Suppose -106 = -4*y + 158. Let h = 132 - y. What is the smallest common multiple of c and h?
66
Let r be 740/(-72)*22296/45. Let t = 5091 + r. Calculate the common denominator of -67/36 and t.
108
Let r = 68699 - 47677079/694. Find the common denominator of r and -71/2.
694
Let m = 