3.
37415
Let i(p) = -p**2 - 18*p + 934. Calculate the smallest common multiple of i(-30) and 410.
2870
Suppose -h + 33 = -4*k, -2*h + 66 = 6*k - k. Let r = 153 + -135. Calculate the smallest common multiple of h and r.
198
Suppose -2*k + 589 = 5*q, 3*q - 2*k - 212 = 151. What is the lowest common multiple of 646 and q?
4522
Let b = -8/159 - 6940/1113. Calculate the common denominator of (((-860)/(-35))/4)/(-7) and b.
49
Suppose -258 + 66 = 8*u. Let x = 18009 + -324305/18. Calculate the common denominator of x and -151*(3 + 28/u + -2).
18
Let h be (2 - 64)*(-5)/10*1. Let t = h - 18. What is the common denominator of -57/14 and t/(1 - 4/20)?
28
Let v(n) = -3*n**2 - 97*n - 37. Let u be v(-32). Calculate the least common multiple of 30 and -1*(u - -1) + 0 + 29.
330
Suppose 0 = -3*m + 5*f + 121, -m - 15*f = -17*f - 42. What is the lowest common multiple of m and 2608?
5216
Calculate the lowest common multiple of 78 and 7/((-42)/(-9)) + (85/10 - 4).
78
Let x be (-6)/(-3) - (-18 + 16). Suppose 16 = s + 3*r - 1, -40 = -x*s + 2*r. Let l(d) = d**2 - 5*d + 2. What is the smallest common multiple of l(6) and s?
88
Let f be ((-9)/(-6))/((-1)/24). Find the common denominator of 101/14 and ((-142)/36)/(f/(-27)).
168
Let r = -7639 - -10092. Calculate the least common multiple of r and 2.
4906
Let d be 2/(-1 + 132/129). Let l = 1678 + -1673. Suppose 3*t - d = -n, -l*t - 3*n + 158 = -5*n. Calculate the common denominator of 87/8 and t.
8
Let c(d) = -d**2 - 6*d + 3. Let i be c(-6). Suppose -t + 285 = 5*r, i*r + r - 247 = 3*t. What is the smallest common multiple of r and 10?
290
Let n = 191805 + -98204119/512. Calculate the common denominator of -29/88 and n.
5632
Suppose -6*f - 913 = -7*f - 3*g, -2*f + 2*g + 1802 = 0. Calculate the lowest common multiple of 226 and f.
904
Suppose 352 = -4*g - 12*q + 16*q, 94 = -g - 2*q. What is the smallest common multiple of 24 and (2 + -1 - g) + (5 - 9)?
696
Let z be 84/(-76) + 1 - (-169)/(-19). Calculate the common denominator of 390/z*3/6 and -5/9.
9
Let j be (-32)/(-14) + (-50)/175. Let i = 1/8322 - -176839/29127. Find the common denominator of (291/2)/(-2 + -10)*j and i.
28
Let n be (1 + 2)*8/894. Let k be (24/(-99))/4*(-2367)/298. Let z = k - n. What is the common denominator of z and 119/10?
110
Let s be 9/23*(-635)/20*2798. Let n = -34760 - s. Calculate the common denominator of 107/28 and n.
644
Suppose 24215 = 51*n - 49684. Calculate the smallest common multiple of n and 45.
7245
Suppose -1134 = 2*i - s + 430, s - 3916 = 5*i. Find the common denominator of 43/362 and 18/(-8) + (i/64 - -12).
362
What is the lowest common multiple of 20 and ((-250)/(-30) - 9)/((-9750)/3249 - -3)?
7220
Let f = 7703 - 107739/14. What is the common denominator of -1 - ((-459)/(-50))/(1320/(-100)) and f?
1540
Calculate the common denominator of ((-312)/(-63))/8*(-3)/(-30) and 79/21.
210
Suppose -21814 = -104*y + 4204 - 1058. What is the lowest common multiple of y and 4?
240
Let z(h) = h**2 + 10*h - 7. Let i be z(-11). Suppose i*k = 4*g - 172, -2*k = -4*g - g + 230. What is the common denominator of -99/4 and 1/(g/(-332)) - 0?
12
Let n be 41*(-5 + 2)*2/(-3). What is the common denominator of (-4)/1 + 4 + n/(-30) and -13/105?
105
Calculate the common denominator of 101/86 and ((-14)/(-24))/((-6)/4 + 3822/2744).
774
Let n = -34 + 16. Let d = 19 + n. Let j(u) = 18*u**3 - u**2 + u. What is the smallest common multiple of j(d) and 12?
36
Let j = 56912 - 6146441/108. Find the common denominator of j and -79/1944.
1944
Suppose 0 = s - 7 + 1. Let i be 3/s + (-5)/(-10). Find the common denominator of ((-5)/4 + i)*114/5 and 99/4.
20
Let s(p) = -7229*p**3 + 5*p**2 - 5*p + 5. Let v be s(5). Let i = v - -23519123/26. Let n = 1062 - i. Find the common denominator of n and -93/4.
52
Suppose 1508 = 2031*f - 1973*f. Suppose x = -4*x + 15. Suppose 12 = -x*w + 30. What is the least common multiple of w and f?
78
Let s = -33 - -81. Suppose 5*t = o + 66 - 111, -2*t = 3*o - 254. What is the lowest common multiple of s and o?
240
Let n = -237 + 257. Suppose 134 = 19*z + n. Suppose -5*w - 24 + 89 = 5*p, p = -5*w + 85. Calculate the least common multiple of w and z.
18
Let c = 125 - 103. Suppose x = u + c, 3*x + x = -3*u + 102. What is the least common multiple of x and 20?
120
Suppose -19*l + 12*l = 56. What is the lowest common multiple of 156 and 9 - (8 + l + -9)?
468
Let a = 66547/4 - 16766. Let l = 3119/24 + a. Let v = 1/3317 - -354895/79608. Calculate the common denominator of l and v.
24
Let l = 204 + 60. Calculate the smallest common multiple of (-133)/(-3) + 4/(-12) and 7/(294/l) - (-6)/(-21).
132
Let z be ((-48)/14)/(-1)*7. Suppose d + 4*n - 1 = -z, -d = -5*n - 13. What is the common denominator of ((1281/12)/d)/2 and 57/2?
8
Suppose -553 = -42*v + 7217. What is the lowest common multiple of v and 5?
185
Let a = -721 + 1169. Calculate the smallest common multiple of a and 98.
3136
Let q = -4713 - -4717. Calculate the smallest common multiple of 394 and q.
788
Let q be (-5 - -5) + 6 + 423. Calculate the least common multiple of (-1)/(-3 + q/144) and 12.
48
Let t(d) = -34*d + 34. Let j be t(5). Let u = 164 + j. Calculate the smallest common multiple of u and 8.
56
Let m be 9/(-24) - 129/(-24). Suppose 0 = 6*z - m*z - 8. What is the lowest common multiple of z and 366?
1464
Let s be 28835985378/3540021417 + -1 + -4. Let w = s + -179655/89486. Let d = w + -164/447. Calculate the common denominator of d and -69/8.
472
Let a(f) = f**2 + 11*f + 16. Let p = -16662 + 16686. Calculate the least common multiple of a(-11) and p.
48
Let y = -65700 + 457642/7. Let m = 325 + y. What is the common denominator of m and 1/46?
322
Suppose 0 = 56*x - 349*x + 16617 + 16785. What is the smallest common multiple of 1368 and x?
1368
Let x = 6656 - 99757/15. Find the common denominator of -119/3190 and x.
9570
Find the common denominator of (-97)/8 + (-1)/4 and (-2)/1*2 - 5141/(-1552).
16
Calculate the common denominator of (-648)/(-36) + 101345/(-5628) and -59/63.
16884
Let c be (1 - 2114/120)*(-24)/108. Let l = 179/108 + c. What is the common denominator of l and -109/72?
360
Let t(p) = -p**3 + 9*p**2 + 8*p + 14. Let d be t(10). Let m be 1/d + (-64038)/(-36). Let s = m - 64001/36. Find the common denominator of -11/32 and s.
288
Find the common denominator of ((-116)/36 + 0)/3 and (-480)/1120 - 839/(-210).
270
Let a be (1 - 4)/12 - (-2098)/172. Let g = a + -30/43. Find the common denominator of g and (-1)/((-1)/15*-41).
164
Let n = -2364 + 2370. Calculate the lowest common multiple of 206 and n.
618
Let i be (-4)/(-34) - 21113914/(-240312). Let p = i - 1898/19. What is the common denominator of p and -69/68?
204
Let t(j) = 371*j - 751. What is the least common multiple of t(7) and 5?
9230
Let d = 1122137/44 + -25502. What is the common denominator of 15/1144 and d?
1144
Suppose x + 3 = 0, 2*t + x = 16 - 7. Let h = -180 - -181. Let v = t - h. What is the lowest common multiple of v and 11?
55
Let a = -55459 + 3327709/60. Calculate the common denominator of 71/760 and a.
2280
Suppose -31*r = -35*r + 16. Suppose 0 = -4*m + 4*p - r, 3*p = -3*m - m + 10. Calculate the lowest common multiple of 50 and m.
50
Let t = -422 - 238. What is the common denominator of 73/48 and (-1299)/t + 22/121?
240
Calculate the smallest common multiple of 120 and 0 + (0 - (-1 - 3)).
120
Let h = 3458739/10 - 345886. What is the common denominator of h and (-26)/(-28) + 2/2?
70
What is the common denominator of (-35)/10 - (-16 - (-6084)/513) and 1*(740/36)/5?
342
Suppose -5*d - p - 146 = 14, -4*d = -3*p + 147. Let l = 73 + d. Suppose j - 5*j = -l. Calculate the smallest common multiple of 11 and j.
110
Let j(q) = q**3 - 35*q**2 + 121*q + 97. Calculate the lowest common multiple of 45 and j(31).
180
Calculate the common denominator of (-17)/(-55)*(-490)/(-1176) and 115/528.
528
Let l be (282/(-10))/((-8672)/(-1240) + -7). Let h = l + -153007/35. Find the common denominator of h and -67/56.
280
Let c = -3041/6 + 58397/24. Let p = c + -1930. Calculate the common denominator of p and 2/(16/5)*-34.
8
Let v be (((-1514007)/(-24))/(-3))/((-28)/(-16)). Let y = v - -12022. Let j = -273/5 + 221/4. Calculate the common denominator of j and y.
140
Suppose -30 = -4*m + 2*m. What is the least common multiple of -1