mon multiple of 48 and r(-29).
4944
What is the common denominator of -30 and (-4 - 68 - 7)/(82 - -5)?
87
Let h = 4764 + -2115227/444. What is the common denominator of h and 51/1036?
3108
Let s be (12/4410)/(12980/3293975 + 0). Let j = 2/31801 - s. Find the common denominator of j and -95/56.
168
Let r = -27300/17 - -8843381/5508. What is the common denominator of r and 157/30?
1620
Let u = -59 + 81. Suppose 7*j = u*j - 120. Calculate the lowest common multiple of 14 and j.
56
Calculate the common denominator of ((-282)/8)/(11 + -2 + -3) and 63/124.
248
Let p = 27/415 + 15672/7885. Let x = -1493/570 + p. What is the common denominator of x and 804/20*(3 - 106/36)?
30
Let n = 672684 - 527384337/784. Find the common denominator of -155/294 and n.
2352
Let f be 45446/(-16) - 14/84. Let a be (348/8)/((-3)/(-196)). Let p = f + a. Find the common denominator of p and 56/27.
216
Let n = 5543 + -122005/22. Find the common denominator of n and 13/324.
3564
Suppose 19*l = 15*l + 4. What is the common denominator of l/41*31/(-2) and 19/(-76) - 93/(-8)?
328
Let m(q) = 13*q - 4*q**2 - 5*q + 11 - 4*q + 16*q. Calculate the lowest common multiple of m(5) and 3.
33
What is the common denominator of (-30)/(-21) + 16289/(-57330) and -20/9?
90
Let x = -27622429 - -26296546195/952. Let m be (-285)/(-476) - 4*21/112. Let f = x - m. Find the common denominator of f and 43/78.
312
What is the lowest common multiple of 195 and (-9)/(-12) - 58/16*-42?
9945
Suppose 1 = s - p, 4*s + 4*p = -6 + 2. Suppose 20 = 12*k - 7*k + 3*n, -5*n = s. Calculate the lowest common multiple of k and 164.
164
Let o(j) = -j**3 - 17*j**2 - 21*j - 27. Let y be o(-16). Let q = y + -42. Suppose 9 = -c + q. What is the smallest common multiple of 4 and c?
4
Let h be 1/(1/1)*-10. Let z = 33 - 29. Calculate the lowest common multiple of ((-10)/h)/(-2 + (-206)/(-102)) and z.
204
Find the common denominator of (-3 - -14) + -14 + 62/42 and -83/2961.
2961
Find the common denominator of -23/120 and (-1 + 5840/5700)*(-9)/(-4).
2280
Let g = 12812/99 - 1360/11. Calculate the common denominator of 40/2031 and g.
6093
Suppose -1143 = 19*s - 16*s. Let d = s - -451. Calculate the least common multiple of 112 and d.
560
Suppose 0 = 3*j + 3*a - 63, -4*a = -9*a + 10. What is the smallest common multiple of j and -3 + 0 + (-184)/(-56) + 24/14?
38
Suppose 2*r - 8 + 4 = 0. Suppose r*m = -2*s + 90, 6*s = 2*s + 2*m + 198. Calculate the smallest common multiple of 32 and s.
96
Let b = -17481593/156 - -112062. Calculate the common denominator of 88072/2880 - 31 - 8/(-18) and b.
1560
Let r(k) = 3*k**2 - k - 3. Suppose 363 = -2*x + 3*d + 600, 5*x + 5*d - 630 = 0. What is the least common multiple of x and r(3)?
861
Suppose -o - 57 = -3*o + 5*i, -3*i - 63 = -3*o. What is the smallest common multiple of (-656)/(-32) - 2/4 and o?
80
Suppose 9*z - 3*z = 0. What is the common denominator of 3/10*890/72 and ((-1)/(-7) + z)/((-27)/711)?
168
Find the common denominator of ((7776/(-132))/8)/((-3)/(-2)) and 63/4090.
44990
Let t(h) = h**2 - 21*h + 102. Let v be t(7). Suppose v*z = -11*z + 45. Calculate the lowest common multiple of z and 585.
585
Let f(l) be the first derivative of -17*l**2 - 138*l + 93. What is the least common multiple of 50 and f(-7)?
100
Let s = -39007/12 - -3253. Calculate the common denominator of s and -101/330.
660
Suppose 3*w + 213 = 429. Calculate the smallest common multiple of w and 1092.
6552
Let n = -71 - -167. Let f be 2/13 - (n/(-52) + -1). Suppose -f*x - x + 857 = 5*q, 2*q + 1096 = 5*x. Calculate the lowest common multiple of 20 and x.
2180
Let p = -553 + 194. Let g = p - -452. What is the lowest common multiple of 33 and g?
1023
Suppose 4*f - 243 + 82 = 5*i, -5*f + 2*i = -197. Suppose 207 = 14*d + f. Calculate the smallest common multiple of d and 48.
48
Suppose 2*i - 90 = -8*i. Suppose -i*q = -11*q. Let d(k) = -k**2 - k + 6. What is the lowest common multiple of 13 and d(q)?
78
Let z(i) = -10*i + 3. Suppose 0 = 14*p - 12*p + 4. Let r be z(p). Suppose -4*v + r = -3*v. What is the smallest common multiple of 11 and v?
253
Let m = 32381242573/1524447 - -3732/56461. Let v = 21239 - m. Let l = 46562/165 + -3110/11. Find the common denominator of v and l.
135
What is the least common multiple of 560 and -8 + 9604/44 - (-6)/(-22)?
1680
Let g = 137228438/609 - 225334. Calculate the common denominator of -10/49 and g.
4263
Calculate the common denominator of -79/495 and 2140/(-464)*7/1575.
57420
Let s be (9/(-13))/(5/2635). Let f = 339845/936 + s. What is the common denominator of 19/36 and f?
72
Let n(a) = -5*a**2 + 27*a + 500. Calculate the smallest common multiple of n(13) and 481.
2886
Let f = 206306073 - 1012550233975/4908. Let j = 24/409 + f. What is the common denominator of j and 89/18?
36
Let g = -2027/6740 - -1/1348. What is the common denominator of g and -9/893?
8930
Suppose -3*m + 156 = 51*w - 46*w, m = 8*w + 52. Calculate the lowest common multiple of m and 40.
520
Let j = -49993 + 5699141/114. Find the common denominator of j and 56/9.
342
What is the least common multiple of (18/(-3) + 186/15)/((-3)/(-15)) and 134?
2144
Let k be -1 - (-77)/7 - 19. Let f(r) = -r + 4. Calculate the least common multiple of (8/(-7) - k/63) + 4 and f(3).
3
Let i = 5/379 - 23149/2274. What is the common denominator of -35/1312 and i?
3936
Let i be (-542222)/(-202122) + (-1)/6. Let h = i - -1/394. Calculate the common denominator of 67/165 and h.
1485
Let g(z) = z**2 - 136*z - 1601. Suppose -4*n + 93 = -3*u, 0*n + 5*n + u = 121. What is the least common multiple of n and g(-11)?
48
Let a be 3 + 1 + 1*-10011 + -1. Let x = 99963/10 + a. Let t = 1/4162 + 98844/14567. Calculate the common denominator of x and t.
70
Calculate the common denominator of (-29)/(-6) - (-12 - -16) - 10587/13104 and -67/117.
13104
Let j = -2128 + 2169. What is the smallest common multiple of 305 and j?
12505
Let u = -1593 + 1845. What is the smallest common multiple of 140 and u?
1260
Let k = 9/106 + -2297/212. Find the common denominator of k and ((-106)/(-78))/((-18)/(-18)).
156
Let j(i) = 22*i**2 + 5*i - 4. Let a(o) = -o**3 - 9*o**2 + 11*o + 24. What is the least common multiple of j(4) and a(-10)?
2576
Let z = -3248 - -5228. Let u = -4224 + 59103/14. What is the common denominator of z/80*1/12 and u?
112
Let c(n) = -6420*n + 16. Let h be c(-4). Let k be (142946/h)/((-15)/30). Let f = -3/3212 - k. Calculate the common denominator of 75/4 and f.
8
Let h be (-76034)/(-77)*-1 - (4 - 2). Let k = 988 + h. Calculate the common denominator of k and 11/3.
33
Let k = -43 - -61. Let t(n) = n + 11. Suppose -3*m = -5*w + 33, 7*w = 4*w - 2*m + 35. Calculate the smallest common multiple of t(w) and k.
180
Suppose 2*p + 3*s = 28 + 44, 0 = -5*p - s + 167. Suppose 38*u + 1295 = p*u. What is the common denominator of 107/12 and (u/(-84) + -3)*1*-139?
12
Let i be ((-1077)/(-612))/((-48958)/54033). Let z = i - 3/36584. What is the common denominator of -101/16 and z?
208
Let y = -381 + 358. What is the smallest common multiple of 72 and (13 - 20) + y/(-1)?
144
What is the common denominator of (-3 + 371/175)/((2600/(-9))/(-10)) and 39/10?
3250
Let p = 1074 - -3973. Let t = 30205/6 - p. Calculate the common denominator of t and 23/51.
102
Let b = -189 - -187. Find the common denominator of 1 + (-166)/4 + 1 and b + 17/3*15/2.
2
Let d(k) = -6*k - 6. Let h be 1/(-6) + (-879)/18. Let l = 45 + h. What is the least common multiple of d(l) and 10?
90
Let l = 17088 - 3964485/232. What is the common denominator of l and -39/28?
1624
Let q = 497 + -464. Let n(d) = 7*d - 9. Let w be n(8). Let f = w - 29. What is the smallest common multiple of f and q?
198
Let a = -16563309121 - -1490648130979189/89997. Let d = 10/687 + a. Find the common denominator of d and 31/11.
1441
Let q(x) be the third derivative of 187*x**6/120 + x**5/20 - x**4/12 + x**3/6 + 3*x**2 + 6. What is the lowest common multiple of 30 and q(1)?
1890
Suppose 0 = -4*p + 3*w + 2*w + 671, -829 = -5*p + 3*w. Suppose 4*j = -4*a + p, 2*j - 5*a = -j + 131. What is the lowest common multiple of 90 and j?
630
Let y(b) = b**2 + 14*b + 4. Let o be y(-14). Suppose -g = q - o*q - 2, -g = q - 6. Calculate the common denominator of -3 + g + 370/(-75) and -43/9.
45
Let i(k) = 11*k + 3. Let z = -63 + 60. Let u be