 -109/24 and ((-156)/(-65))/2*30.
24
Let j = -8465/58 - -274/29. Let u be (-4471)/30 + (-108)/(-90). Let p = u - j. What is the common denominator of 6/7 and p?
21
Find the common denominator of 17/144 and 5/12*5439/11760.
576
Find the common denominator of 33/2015 and 2078*(-2)/4340 - -1.
14105
Suppose 5*g + 5*o + 8 = 43, 5*g = o + 47. Let c(b) = -b + 11. Calculate the smallest common multiple of c(g) and (-84)/(-22) - (-9 + 388/44).
4
Suppose -4*u + j + 35 = 0, 10 = 214*u - 212*u - 2*j. What is the least common multiple of u and 19126?
95630
Let h(r) = 3*r + 72. Let f(a) = a**2 + 21*a + 81. Let d be f(-13). What is the lowest common multiple of 13 and h(d)?
39
Suppose 6*u - 250 - 710 = 0. Let z = u - 138. Suppose 26 = 3*i + i - 2*x, 5*i + x = 43. What is the smallest common multiple of z and i?
88
Let v = 5922 - 35461/6. What is the common denominator of v and 5/6?
6
Suppose 4*h + 172 = -0*h. Let y = h - -63. Calculate the lowest common multiple of y and (-3)/(-6) + 1*57/6.
20
Let y = 29097/18700 - -3/748. Let d = 1/5456 - 57313/136400. Calculate the common denominator of y and d.
50
Let u = -363/127 - -34753/8382. Find the common denominator of u and 9/45 + (-2)/120*31.
660
Suppose -5*f = 0, n - 6*n - 3*f = 525. Calculate the common denominator of 51/10 and (-86)/n - 9/(-126)*-4.
30
Let c = -14 - -30. Calculate the smallest common multiple of c and (3/108 - 36/144) + (-2598)/(-27).
96
Let i = -2/1667 + 38373/26672. What is the common denominator of i and (1/5)/(4482/(-405))?
1328
Let g = 15 - 11. Suppose 5*c - 9 = -3*m, 3*m = g*m - 3*c - 17. Suppose -54 = -11*y + m*y. Calculate the lowest common multiple of y and 16.
144
Suppose 4*f - 4*q = 56, -2*f + 8*q - 5*q + 26 = 0. What is the smallest common multiple of f and 10?
80
Suppose -107*u + 55*u + 20540 = -32*u. What is the least common multiple of u and 156?
12324
Let h = 127 - 119. Suppose 9*y = h*y + 33. What is the lowest common multiple of 20 and 6/(-33) + ((-3000)/y)/(-5)?
180
Let f = -3779 - -90593/24. Let r = 20467/96 - 641/3. Find the common denominator of f and r.
96
Let f = -383951/9084888 + 41/19923. Calculate the common denominator of f and 71/140.
47880
Suppose 76 = 3*n - d, 2*n + n - 80 = 5*d. Suppose -20*g + 15*g = -n. Suppose -6 = 2*m, g*k - 2*m - 24 = m. What is the smallest common multiple of k and 10?
30
Suppose -6 = -3*r, -198 + 34 = -4*a - 2*r. Suppose -35 = -5*s + 25. Calculate the lowest common multiple of a and s.
120
Let q = 3/28361054606 - -4323288261275409/2143301618684632. Let d = q + 2/2699. Find the common denominator of 111/44 and d.
616
Let d = -4219/506 + 82/23. Calculate the common denominator of d and 127/108.
1188
Let r = 64 - 62. Suppose p - 4*p = 4*z - 24, 28 = 4*z + r*p. What is the smallest common multiple of 62 and z?
558
Find the common denominator of -44/23 and 7/539*(-7 - -48).
1771
Let h(k) = -9*k - 36. Let x be h(-3). Find the common denominator of 18/11 and 662/(-192) + x + 232/24.
352
Let t(u) = -143*u - 66. Let v be t(3). Let o = v - -2467/5. Calculate the common denominator of -93/10 and o.
10
Let v be (-7)/((16/12)/2 + -1). Suppose -592 = -5*w + v*w. Find the common denominator of -11/218 and w.
218
Let y(r) = 4*r**3 - r**2 + r. Let z be y(1). Suppose z*b - 2*b = 6. What is the common denominator of -79/21 and (-6)/b + (-147)/(-9)?
21
Let p(k) = k**2 - 157*k + 2892. What is the least common multiple of p(19) and 9?
270
Suppose 3*l = -5*y - 11, 4*y - 5*y + l - 7 = 0. Let d(f) = -10*f + 5. What is the least common multiple of d(y) and 27?
135
Let k(j) = 46*j - 148. Suppose -5*u - 5*m + 20 = 0, -2*u - 3*m - 2*m = -8. What is the smallest common multiple of k(u) and 112?
1008
Let x = -188253563/630 - -298815. Find the common denominator of x and -121/30.
630
Let f = 110257365/416 - 265042. Calculate the common denominator of f and (-82)/28 + (-6)/6.
2912
What is the least common multiple of (-159)/(-21) - 7 - 10824/(-21) and 774?
1548
Let z(q) = -17*q**2 + 13*q - 17. Let b be z(16). Find the common denominator of b/(-152)*4/45 and 23/48.
240
Suppose 4*b = -159 + 23. Let k = b + 50. What is the lowest common multiple of (4/8)/((2499/8976)/49) and k?
176
Let x be 3/(-9)*3 - 0. Calculate the common denominator of 5/34 and (x*5/50)/(42/1270).
714
Let n(f) = -f**2 - 4*f + 11. Let k(b) = 3*b + 4. Let m be k(-3). Suppose 48 = -1684*x + 1688*x. Calculate the least common multiple of n(m) and x.
12
Let m = -1/455756663 + -2911829311939/3631469090784. Let s = 102/83 + m. Calculate the common denominator of s and 8/15.
480
Let k = -263377 - -2633801/10. Let z = 92 - 132. What is the common denominator of k and 114/z + 1/2?
20
Let k(x) = x**2 + 14*x + 27. Let f be k(-12). Suppose -71 = -f*w - 59. What is the common denominator of -7/18 and (-1 - (-145)/150)/(w/(-70))?
36
Let q = -415383/20 + 20768. What is the common denominator of 111/970 and q?
1940
Let o = -12047694140/1449 + 8314496. Let n = o - 1/207. Find the common denominator of n and -44/35.
35
Let k = 52 - 20. Let d(t) = -t**2 - 6*t + 259. Let s be d(13). Calculate the lowest common multiple of -10*(-7)/(1050/s)*30 and k.
96
Let g = -17304458766411/3751 + 4613292158. Let w = -967/31 + g. Calculate the common denominator of -43/99 and w.
1089
Let u be (-145)/3 - 2*-1. Let l = -326 + 372. Let r = u + l. Calculate the common denominator of r and 109/6.
6
Suppose 3*j = 24*j - 105. Suppose 584 - 509 = j*t. What is the lowest common multiple of 27 and t?
135
Let d = -345459/96944 + 6/6059. What is the common denominator of 169/570 and d?
4560
Calculate the common denominator of 263/40*150/180 - 3 and 31/72.
144
Let d(v) = -7 - 11 - 3*v - 3 - 2. Calculate the lowest common multiple of 18 and d(-13).
144
Suppose -38*y = 14*y + 107*y - 69006. Calculate the smallest common multiple of 8 and y.
1736
Let o(b) = -b**3 - 29*b**2 + 22*b + 16. Let z be o(-9). Let y = z + 189191/105. Calculate the common denominator of 4/63 and y.
315
Let t = -36 - -45. Suppose 0 = -t*s + 4*s + 3*f - 60, -2*f = 0. Calculate the smallest common multiple of 4*(-3)/s - -7 and 4.
8
Suppose 9*u = 195 + 57. Suppose u*r - 12*r = 336. Calculate the lowest common multiple of 77 and r.
231
Let r = -7 - -11. Let q(z) = 11*z - 3. Let c be q(r). Suppose -3*a + j = -j - 106, 0 = -a - 5*j + c. What is the lowest common multiple of 3 and a?
36
Let w = 1187575/63 + -18850. Find the common denominator of (-75)/(-80)*90/(-175) and w.
504
Let q = 34/121847 - 12142345/284878286. Find the common denominator of 13/1002 and q.
7014
What is the common denominator of -109/104 and (-33)/891 + 9339/96876?
2392
Let r = 16985/14 - 1215. Suppose -3*g + 3*s = -44 - 43, 4*s = 5*g - 141. Find the common denominator of ((-174)/(-4))/(g + -10) and r.
70
Calculate the common denominator of ((-21333)/5278 + 4)/((-4)/14) and 43/928.
928
Let o(q) = q + 3. Let t be o(-3). Suppose 3*x = 3, t = -3*u + 2*x + 71 + 89. Calculate the smallest common multiple of u and 8.
216
Let t(x) = x**3 + 16*x**2 - 16*x + 28. Let z be t(-17). Suppose 0 = -3*w + z - 5. Let v = -53 - -102. What is the least common multiple of w and v?
98
Let n(r) = -r**3 - 14*r**2 + 7*r. Let t be n(-15). Let c = t - 117. Suppose 25 = -5*l, 21 = z - l - 3*l. Calculate the lowest common multiple of c and z.
3
What is the common denominator of (24 - (-1870)/(-78)) + (3 - (-21)/(-9)) and 5*(-1 - (-96)/81)?
351
Let r = -9263/4840 - -162/121. What is the common denominator of 5/408 and r?
2040
Let o = -4353/148 + 228/37. What is the common denominator of o and -5 - (-63)/12 - (-332)/96?
24
Let q = 4137 - 136517/33. What is the common denominator of q and 40/99?
99
What is the common denominator of (380/72)/95 - (-175)/(-1152) and -47/16?
384
Let q(r) = 53*r - 207. What is the least common multiple of q(8) and 77?
2387
Suppose 0 = 2*c - c + 22. Let l(w) = -7*w + 8. Calculate the lowest common multiple of (-40)/c - 0 - 12/(-66) and l(-6).
50
Suppose 4*t + 262 + 2 = 0. What is the common denominator of -143/210 and t*((-81)/12 - -6)?
210
Let g = -7282 - -189381/26. Let o be (4 - 3) + -863*3. Let f = 25963/10 + o. Calculate the common denominator of f and g.
130
Let r be (-30)/12*(-22)/5. Suppose -r*h + 4*h = -126. Calculate the smallest common multiple of h and (-10)/(-1) - (9 - 13).
126
Let y(s) = s**3 - s**2 -