nd -109/6?
6492
Let x = -143 - -242. Let y = 147764 + -147746. Calculate the smallest common multiple of y and x.
198
Let n = -51 - -11. What is the common denominator of -31/59 and 3/2 - (-1030)/n?
236
Calculate the common denominator of 35/((-490)/28) - (-159)/60 and 127/370.
740
Calculate the common denominator of 53/10 and (-6)/11 + (-79296)/160512.
380
Let f = 310611/4 + -353786079/4556. What is the common denominator of 55/12 and f?
13668
Let b = -56407/10 - -5647. Let d(s) = -60*s. Let w be d(-6). Calculate the common denominator of b and -6 + 159*4/w.
30
Let w be 42/(-12)*(-12)/14. Suppose -1 = w*f + 5. What is the common denominator of f/10*29/(-4) and 63/20?
20
Let l = 1841901 + -42089279761/22851. Let w = -1301147/3107736 + l. What is the common denominator of w and 51/14?
952
Let j(o) = -2*o**2 + 60*o - 62. Let y be j(29). Calculate the common denominator of (90/64)/((-6)/y - 3) and 105/22.
176
What is the lowest common multiple of 1637/3 + 2/6 and 5*(0 + -1) + (-22)/(-242)*99?
1092
Find the common denominator of 101/8 and ((-2)/10)/((-2727)/1323).
4040
Suppose 43*n = 3*n + 400. Let l be (-32)/(-6) - 4/12. Suppose 0 = -5*o + l*c + 105, -4*o + 34 = -2*c - 48. What is the lowest common multiple of o and n?
20
Let k(s) = 3*s**2 + 7*s - 1. Let y be k(-3). Suppose -33 = -h + y*u, 0*u + u = 4*h - 113. Calculate the least common multiple of 9 and h.
252
Suppose -3*g + 5*p = -1575, 4*g + 372*p = 376*p + 2100. What is the lowest common multiple of g and 210?
1050
Suppose -4890*j + 4881*j = -2889. What is the least common multiple of 18 and j?
1926
Let v = -1991491176 - -26134338750302/13123. Let z = -66316478/1193 + 55588. Let s = z + v. What is the common denominator of -125/6 and s?
66
Let b be 24/(-108) - 227/(-9). Suppose 481 = 19*q + b. What is the least common multiple of 24 and q?
24
Suppose -98 = -4*g - 2*y, -7*g = -6*g + 3*y - 17. Suppose -4*d + 22 = -g. Calculate the smallest common multiple of 8/(-1)*(-3 - -1) and d.
48
Suppose -255*o + 258*o + 582 = 0. Let t = o - -222. What is the lowest common multiple of 32 and t?
224
Let v(t) be the second derivative of t**5/20 + 5*t**4/12 - 4*t**3/3 + 7*t**2/2 + t - 1. What is the least common multiple of 30 and v(3)?
330
Let h be -5 + (-212584)/(-35430) + 1*-1. Let c = 3666973/283440 + h. Let d = -491/16 + c. Calculate the common denominator of -7/2 and d.
4
Let p = 1 - 1. Suppose p = -3*i + 44 - 8. Let j(m) = -m**3 - 10*m**2 + 14*m + 37. What is the smallest common multiple of i and j(-11)?
12
Suppose w = 4*h - 300, -w - 4*h - 331 + 71 = 0. What is the common denominator of (-5)/75*w/55 and -76/45?
495
Let d = -188 + 172. Suppose -u + 4*x - 4 = 0, -16 = -3*u - 0*x - 2*x. Calculate the least common multiple of u and d*(28/(-4) + 6).
16
Let d(z) = 80*z**3 + 4*z**2 - z + 3. Let h = 13 + -10. Let p be d(h). Find the common denominator of (-6)/(-15) - p/440 and -29/14.
154
Let y be (-5244)/(-345)*(1 + 94/(-4)). Let p = y - -561. Calculate the least common multiple of 1 and p.
219
Let r(m) = -36 + m**2 - 38 + 70. Let i be r(-3). What is the smallest common multiple of 10 and (28/i)/((-8)/(-20))?
70
Let f(d) = -d**2 - d. Let q(g) = -7*g**2 + 10*g - 41. Let s(v) = -6*f(v) + q(v). What is the lowest common multiple of 102 and s(7)?
1122
Suppose -p = -5*q + 88, -q + p + 28 = 6*p. Let u(n) = 2*n + 21. Let w(g) = -1. Let r(z) = -3*u(z) - 3*w(z). What is the least common multiple of q and r(-11)?
18
Let x = 88 + -115. Let k be 1/((-2)/(-160)) - 3. Let v = x + k. What is the least common multiple of 4 and v?
100
What is the lowest common multiple of 45 and ((-155)/10 - (10 + -2))*-6?
2115
Let u be ((-94)/60)/(9/(-459)). Let p = u + -73. What is the common denominator of p and (-810)/80 - (-13 + 6)?
40
Let h = 24101781/14 + -1715293. Let s = 6255 - h. Calculate the common denominator of s and 851/(-69)*4/8*1.
42
What is the common denominator of (10*15/(-150))/((-664)/(-23)) and -53/332?
664
Let g = -2126237 + 1139662413/536. Let o = g - -2/67. Find the common denominator of o and 1 - (-6)/20*-6.
40
Find the common denominator of (-15 + 593894/39690)/(12/(-14)) and -53/270.
2430
Suppose 6 = 34*q - 33*q. Let k(n) = 34*n - 10. Let b be k(q). What is the common denominator of 1/64 and (b/(-12) - 0) + (19 - 19)?
192
Suppose -5*g - 1409 = i - 3947, -g = -2*i + 5120. Let b = -23059/9 + i. What is the common denominator of -37/33 and b?
99
Let h = -5100 - -61243/12. Calculate the common denominator of h and 11 + 117/72 + -4.
24
Suppose 2737*x - 2702*x - 1365 = 0. Suppose 5*l = -58 + 178. What is the smallest common multiple of l and x?
312
Let y be 19/5 + (-8)/(-40). Suppose 4*d = -2*h + 6*h - 40, y*h - 28 = d. What is the least common multiple of h and 24?
24
Let t = -6650 + 7835. Calculate the least common multiple of 18 and t.
7110
Let b(i) = -i**2 + 3*i + 20. Let n be b(-3). Suppose -1254 = -17*v - n*v. Calculate the least common multiple of 15 and v.
330
Suppose 0 = -14*p - 311 - 1075. Let u = 58 + p. Calculate the common denominator of 52/89 and u.
89
Let a = -181 - -205. Suppose -a*z + 324 = -12*z. Suppose n = 5*n - 12. Calculate the smallest common multiple of z and n.
27
Let s(k) = 6*k - 3. Let z = -912 - -915. Suppose 2*u + 48 = 2*a, -17*a = -18*a - z*u + 24. Calculate the lowest common multiple of s(3) and a.
120
Suppose 220283 = 113*u - 268894. What is the smallest common multiple of u and 1221?
47619
Let k = 439773965 - 13192016917/30. Let x = -40063 + k. Let a = -22965/8 - -2876. What is the common denominator of a and x?
120
Let l be 15/(-16)*(-3052)/(-21). Let z = 140 + l. Calculate the common denominator of z and -37/4.
4
Suppose 26 + 36 = 2*f. Let a = -67 - -76. Suppose -6 = a*m - 11*m. Calculate the smallest common multiple of f and m.
93
Let q be (-52)/156 + 872/6 + -3. Suppose -18*k = q - 2014. What is the lowest common multiple of k and 52?
104
What is the smallest common multiple of 3130 and (8 + 23 + -24)/(1/313)?
21910
What is the common denominator of 188185/527040 - (-1)/(-3) and 113/3840?
34560
Suppose 12*t - 11 = 37. Suppose t*r - 6*r + 2*v + 282 = 0, 0 = -5*v. What is the smallest common multiple of r and 24?
1128
Suppose -90 = -7*q + q. Suppose -15*c + 10*c + q = 0. Suppose c*u = -7*k + 4*k + 24, 2*k - 18 = -3*u. What is the least common multiple of 8 and k?
24
Let f = 13100 + -235687/18. Calculate the common denominator of f and -8/1137.
6822
Suppose -7*o = -2*n - 3*o + 22, -n = 5*o - 18. Suppose 0 = -4*m + z + 75, -z - n = 5*m - 100. Calculate the least common multiple of 288 and m.
288
Let g be 3/(7 + 160/(-24)). Suppose 12 = -g*q + 174. What is the smallest common multiple of q and (-1)/(-3) - (-153)/27?
18
Let d(a) = -a**3 + 5*a**2 + 4*a - 5. Let i be d(0). Let j = -1 + 2. What is the lowest common multiple of 23 and -2 + 2 - j - (-7 - i)?
23
Let l = 127 + -113. Suppose -3*t + 254 = -z, -l*z = -5*t - 15*z + 418. What is the smallest common multiple of t and 16?
336
Suppose 62*r + 3576 = 68*r - 2*b, 1764 = 3*r - 5*b. Calculate the least common multiple of r and 414.
5382
Let c = -44 - -50. Suppose 0 = k + 2*m - 74, 12 + 250 = 3*k - 4*m. What is the least common multiple of c and k?
246
Let d(k) = k + 18. Let l be d(-13). What is the least common multiple of 18 and (-1)/(-5) - (-3 - 44/l)?
36
What is the lowest common multiple of (-28 - -30)*(-20)/(-8)*38 and 42?
3990
Suppose 5*k - 28 = -2*o, -3*o = 4*k - 32 - 3. Suppose -4*c = v - 9*c - 2, 4*v - 3*c + 9 = 0. Let s(i) = -6*i. What is the least common multiple of s(v) and o?
18
Let d = 256 - 474. Let i = d - -248. Calculate the lowest common multiple of 15 and i.
30
Let q(v) = v**3 - 10*v**2 + 5*v - 11. Let b be q(11). Suppose p + 4*j - 11 = -j, 5*p - b = -3*j. Calculate the lowest common multiple of p and 6.
36
Suppose -3*u + 2*c + 2*c = -101, 128 = 4*u - 2*c. Let o(w) = 8*w + 47. Let f be o(-4). Let d = u - f. What is the smallest common multiple of 8 and d?
16
Let c = 28774 + -5236839/182. Find the common denominator of -149/78 and c.
546
Let p = 1698773/81868 - 3/20467. What is the common denominator of 149/900 and p?
900
Let z = 15 + 3. Let o = -237 + 242. Suppose -z = -8*g + o*g. Calculate the least common multiple of 9 and g.
18
Let i = 13 + -1. Suppose 25*b = 21*b - 224. What is the least common multiple of (-1)/((