or of (u/(-27))/(((-20)/(-915))/2) and -23/4.
36
Suppose -278 = w + 3*v + 1422, -3*w + 2*v = 5067. Let f = w + 121763/72. What is the common denominator of f and 55/8?
72
Let a = -2 - -4. Suppose 0 = -i - 0*i + a. Let q = -283029 - -283031. What is the lowest common multiple of i and q?
2
Let a = 26613 - 26595. What is the smallest common multiple of a and 17154?
17154
Let z(j) = 2*j**2 - 11*j + 14. Let y be z(5). Suppose y*g = 412 + 236. What is the least common multiple of g and 45?
360
Let x be (3*(-28839)/6)/(23 - 14). Let g = x - -1581. Calculate the common denominator of g and 1/55.
330
Suppose z - 487 = 3*o - 125, 6*z - 2036 = o. What is the lowest common multiple of z and 118?
19942
Let h = -1634 - -1640. Calculate the least common multiple of 90 and h.
90
Let v = -4784/9 - -66961/126. Find the common denominator of v and 133/30.
210
Let o(p) = 2*p**3 + 35*p**2 + 23*p + 145. Calculate the lowest common multiple of 220 and o(-16).
23980
Let c = -26672 - -853571/32. Find the common denominator of (-4)/5 - (16 + 74835/(-4200)) and c.
224
Calculate the common denominator of -87/14 and 6/9 - ((-1573)/(-9240) - (-24)/28).
280
Let a(j) = 13*j**2 + 1572*j - 1573. Let c = 1 + 7. What is the least common multiple of c and a(1)?
24
Let h(l) = l**2 + 42*l + 41. Let k be h(-20). Let y = k - -6377/16. Find the common denominator of y and (2/2)/(40/235).
16
Let s = 2628 + -2623. Calculate the smallest common multiple of 249 and s.
1245
Let u be ((-21)/3 - (6 + -1)) + 6. What is the smallest common multiple of ((-8)/5)/(1/(-5)) and (u/9)/(-2*(-5)/(-735))?
392
Suppose 3*g + 151*k - 147*k - 5520 = 0, -2*g - k + 3675 = 0. Calculate the lowest common multiple of 216 and g.
3672
Let m = 315 + -45. What is the common denominator of 2/(-9) + (-242)/(-36) and 2/(-9) - (-1329)/m?
10
Let h(z) = z**2 - 5*z + 1. Suppose y + 12 = 2*w, -3*w + 23 = -2*y + 4. What is the smallest common multiple of h(y) and 21?
105
Let h = 41899 + -39611. What is the smallest common multiple of 286 and h?
2288
Suppose 149*x - 151*x + 2*g + 36 = 0, -3*g = 12. What is the lowest common multiple of x and 742?
742
Let s be (-1)/(-6) - (-17969)/42. Suppose 7*w - 3*w - 4*d = s, 0 = 5*w + 5*d - 565. Calculate the smallest common multiple of w and 55.
110
Let g = -14057/132 + 1172/11. Find the common denominator of g and 31/108.
1188
Let s = -150 + 173. Suppose 29*z = s*z + 270. Calculate the least common multiple of 30 and z.
90
Let k = 6 + 24. Let u = 4554 + -4549. What is the smallest common multiple of u and k?
30
Let i(f) = -5*f**3 - 60*f**2 + f. Let l be i(-12). Suppose -4 = -2*d - 2*y, 3*d - 3*y = 8*d - 18. Calculate the smallest common multiple of 7 + 1 - l/3 and d.
12
Let u(f) = f - 7. Let l be u(9). Suppose -l*y = 5*y - 28. Suppose 0 = y*n + 3*i + 54 - 177, 3*i + 42 = n. Calculate the lowest common multiple of 10 and n.
330
Let k(z) = z**2 + 13*z + 24. Suppose -6*f + 3*f = 33. Suppose 0 = -9*b + 388 - 136. What is the lowest common multiple of b and k(f)?
28
Suppose 8*r - 6*r - 5*y = 777, 0 = -2*y + 6. Suppose -180*f - r = -184*f. What is the lowest common multiple of 6 and f?
198
Suppose -m - 4*h + 6 = 0, -3*m - 2 = 3*h + 7. Let o(k) = -k**2 - 12*k - 4. Let t = -238 + 246. What is the least common multiple of t and o(m)?
32
Suppose 5*t + 8*g = 5*g - 15, 2*g + 15 = -5*t. What is the common denominator of 103/12 and (-129)/13770*t - (-2)/(-9)?
1020
Let u(k) = 8*k - 1. Suppose -21*x = 4*s - 17*x - 12, 5*x + 15 = s. What is the lowest common multiple of u(1) and s?
35
Suppose 10*r + 2402 = -698. Calculate the common denominator of -52/5 and (0 + 3)/(r/5).
310
Let j = -1284/5717 - 18936029/1852308. Let v = -70/81 - j. What is the common denominator of v and -127/110?
660
Let g(b) = -16*b + 150. Suppose 16 = n + n. Let x = 0 + n. What is the least common multiple of x and g(9)?
24
Let w(d) = 30 + 12 + d - 10 + 0*d. Let u be w(-23). Suppose 3*f + i = 43, -f - 6*i + i = u. What is the smallest common multiple of 14 and f?
112
Let t(i) = i**3 + 6*i**2 - 8*i - 34. Let v be t(6). Suppose -3*k + 5*j + 263 = 0, 5*j + 75 + v = 5*k. What is the smallest common multiple of 30 and k?
810
Suppose -22*r - 4795 = -29*r. Let d = 709 - r. What is the lowest common multiple of d and 27?
216
Let s = -6186 - -6240. What is the lowest common multiple of 234 and s?
702
Let t = -2642 + 2644. What is the smallest common multiple of 620 and t?
620
Suppose -5*i - 12669 = 1836. Find the common denominator of -59/48 and i/(-2016) + (-60)/140.
96
What is the common denominator of (1 + 0)*-6 - (-31591)/5208 and -115/12?
744
Suppose -82 = -4*t + 14. Calculate the smallest common multiple of 20 and (1 + t/16)/(1/12).
60
Let w(m) = m**3 - 11*m**2 + 31*m - 187. Suppose 2*a - v - 14 = 2*v, 3*a - 26 = 2*v. What is the least common multiple of 16 and w(a)?
368
Let h(f) = 17*f - 11. Let t be h(3). Suppose 0 = 4*b + 244 + t. Let j = -38 - b. Calculate the least common multiple of j and 15.
165
Let m = 4569 - 4089. What is the lowest common multiple of m and 20?
480
Let a = -47/8559 + 140144/4219587. Find the common denominator of -143/306 and a.
8874
Let k = -36387 + 38547. What is the smallest common multiple of k and 120?
2160
Let p = 91 - 643. Let b = 584 + p. What is the smallest common multiple of b and 72?
288
Let x(y) = 3*y**3 - 122*y**2 - 48*y + 362. What is the lowest common multiple of 1 and x(41)?
75
Let h = 6986391 + -104751122/15. Let v = 2980 - h. Find the common denominator of -5/12 and v.
60
Let z(u) = u**3 + 15*u**2 + 18*u + 9. Let a(w) = w**3 + 14*w**2 + 17*w + 8. Let p(g) = 7*a(g) - 6*z(g). Calculate the least common multiple of 49 and p(-2).
196
Suppose 0 = 6*n - n + 100. Find the common denominator of (1 - (-136)/(-18)) + 6 and 10/(-40) + (-237)/n.
45
Suppose 2*z + 2*z - 136 = 0. Suppose 4*j + 2*r - 62 = 0, -31 = -4*j - 3*r + z. What is the lowest common multiple of j and 231/132 - ((-34)/8 - 0)?
42
Let b = 90451/100 + -904. Calculate the common denominator of b and 43/12.
300
Let p be 310/12*8777/(-670). Suppose 0 = -4*f - f - 4*c + 1655, -2*c = 0. Let i = f + p. Find the common denominator of i and 13/15.
60
Let b = 55777/17920 + -106/35. Find the common denominator of 37/448 and b.
3584
Let h = -577336148/2955 + 195376. Find the common denominator of h and 91/5910.
5910
Let y = 28104 - 18801. Calculate the common denominator of y/(-441) + (-8)/14 and 23/25.
75
Suppose 3*b + 4*u + 29 = 0, 74 - 28 = -2*b + 4*u. Calculate the common denominator of b/24*(-928)/(-312) and -47/18.
234
Let i = 2029 - 3377. Let j = 11669 - 139921/12. What is the common denominator of i/(-320) - (-15)/150 and j?
48
Suppose 113 + 52 = -3*b. Let c = -22 - b. Calculate the lowest common multiple of 144 and c.
1584
Suppose -37*j = -40*j + 6. What is the lowest common multiple of j and 2368?
2368
Suppose 31 - 56 = 2*n - 221. Let z(q) = q**3 + q + 112. What is the least common multiple of n and z(0)?
784
Let w(r) = 254*r - 1882. What is the lowest common multiple of 376 and w(10)?
2632
Find the common denominator of -137/114 and 10712/1248*(-11)/13 - 4/26.
228
Let j = -4646713/87657390 + 116/36073. Find the common denominator of j and -79/10.
2430
Let g = 2 + -5. Find the common denominator of 106/60 + 1*7/(-1) and (-2)/84*(g + 169).
210
Let m = 77 + -33. Suppose 5*o + 65 = -2*l + 115, -l - 3*o = -22. What is the smallest common multiple of l and m?
440
Let p(y) = -118*y - 323. What is the least common multiple of p(-3) and 11?
341
Let h = -684797/4200 - -2281/14. Calculate the common denominator of -37/8 and h.
600
Suppose -3*a + 195 = -6*a. Let v = -72 - a. What is the common denominator of -1/4 and 2919/(-1470) + (-2)/v?
20
Let h = -888 + 893. Suppose -3*y - 8*r + 14 = -6*r, -10 = h*r. What is the lowest common multiple of y and 46?
138
What is the common denominator of -71/189 and (-5 - -18) + (-34596)/2673?
2079
Let d = 5009/9 + -562. Suppose -2*c + 5*p = -75, -5*c - 3*p + 190 + 13 = 0. Find the common denominator of d and (-4)/(-3)*3 + (-50)/c.
36
What is the lowest common multiple of 195 and ((-396)/(-77))/(-9)*-126?
4680
Let w be 12/9*(652/8 + -2). Let h = w - 73. What is the least common multiple of h and 9?
99
Let v = 15 - 17. Let q be (-6)/12*3*v. Suppose 0 = -4*a, -j + a + 38 = -q*a. Calculate the lowest common mul