
231
Calculate the common denominator of -59/60 and 1105895/(-122892) + (-2 - -11).
4620
Suppose -4*h + 7*h = -2*h. Suppose 5*d = c - 16, -5*c - 3*d + 24 = -h. Calculate the smallest common multiple of c and 52.
156
Let s = -314 + 315. Calculate the common denominator of ((-529)/(-897))/(s/(-2)) and 83/30.
390
Let j(s) = -s**2 - 130*s - 3888. What is the lowest common multiple of j(-52) and 2544?
17808
Suppose 3*j - 173 = -t, -69 - 139 = -3*j + 4*t. Calculate the smallest common multiple of j and 1330.
7980
Let k = 47 + -43. Let o be (310/3 - k)*(-189)/6. What is the common denominator of ((-2)/36)/((-28)/o) and -51/5?
120
Let w = -493919/7871 - -1067/17. Let j = -5177/6482 + w. Find the common denominator of 49/80 and j.
560
Suppose -23*x - 2*k = -27*x + 280, -70 = -x + 3*k. Calculate the lowest common multiple of x and 1008.
5040
Suppose -42*x - 143736 = -30*x. Let c = x - -479181/40. Find the common denominator of -41/20 and c.
40
Let v = -38 - -56. Suppose 5*n - 16 = -11*n. Calculate the smallest common multiple of n and v.
18
Let b = -44213/221116 + 146/1043. Find the common denominator of -29/28 and b.
1484
Suppose -p + 69 = -117. What is the common denominator of p/32 + (-41)/(-82) and 13/28?
112
Suppose 14*j = 11*j + 21. Suppose j*l - 930 = -3*l. Let a = -71 + l. What is the smallest common multiple of a and 16?
176
Let b = -247/218 + 41057/46434. Let y = -1/288 - -2425/288. Calculate the common denominator of y and b.
852
Find the common denominator of -2/221 and (-1518)/(-8073) + (-2)/(-18).
1989
Let g be (-1208)/30 + ((-10)/(-15))/1. Let k = -137/5 - g. What is the common denominator of k and 19/30?
30
Let u = -69 + 73. Suppose u*i - 6*p = -p + 32, 17 = -i - 5*p. Suppose -2*o + 15 = 5*a + 1, i*a = 6. What is the smallest common multiple of o and 12?
12
Calculate the common denominator of 35/288 and (-2068)/(-960) - 1 - (2 + -1).
1440
Let b = 71 + -63. Suppose j + b = 3*j. Find the common denominator of (-113)/j*1*(-8)/20 and -29/18.
90
Let u = -1194 - 341. Let o = u + 13828/9. Find the common denominator of o and (21/2 - 1)/1.
18
Let p = -2627 + 7952/3. Let q be 2559910/40*(-10)/(-51716). Let u = q + 2/12929. Calculate the common denominator of u and p.
24
Let y = -199170/73 + 814598073/298570. Calculate the common denominator of 27/3272 and y.
16360
Suppose 5*t - j = 3*t + 130, -5*j = -10. Let s = -622/135 - -11/27. What is the common denominator of 6*5/(-165) - 1132/t and s?
15
Suppose -130 = -6*b - 10. What is the common denominator of ((-1)/4)/(66/(-200)) and (-46)/(-240) - (2 - 52/b)?
264
Suppose w - 5*g = 10452 + 3053, 2*g = 0. Let c = 270021/20 - w. Calculate the common denominator of c and (93/63)/(66/(-77)).
180
Let q(t) = 4*t**3 - 4*t**2 + 6*t - 9. Suppose 9*d - 89 = 19. Suppose -8*w - 36 = -d*w. Calculate the least common multiple of q(3) and w.
81
Let f = -77993/21 - -3715. What is the common denominator of (251/(-502))/(33/(-118)) and f?
231
Let b(q) be the second derivative of q**4/6 - q**3/2 - 31*q**2/2 - 2*q - 46. Calculate the smallest common multiple of 16 and b(-7).
176
Let k be 1/(-430)*(10*-3334)/(-10). Let r = -88/43 + k. Calculate the common denominator of r and ((-105)/6)/((-1)/2).
5
Let l = -280 - -148. Let y = 8 - 5. Calculate the lowest common multiple of (l/(-176))/(((-3)/52)/(-3)) and y.
39
Suppose -4*i + 5*v = -1405, -5*i - 39*v + 1700 = -34*v. Calculate the least common multiple of 21 and i.
2415
Suppose 0 = 19*f + 12248 - 981. Calculate the common denominator of 5 + -10 - f/126 and -95/2.
126
Let h = -44 - -27. Suppose 7*a - 199 = 95. Let s = h + a. What is the smallest common multiple of s and 6?
150
Calculate the common denominator of (-61)/(-48) - (-3)/12 and 5049/(-144) + (123 - 93).
48
Let x be -8204 + (0 - (0 + 1)). Let w = 131329/16 + x. Find the common denominator of w and 2/(0 + 2*-1) + (-26190)/(-10088).
208
Suppose -60 = -t + s, -57*s = -5*t - 54*s + 290. Calculate the lowest common multiple of 55 and t.
55
Let o(j) = -23*j**2 + 284*j - 48. What is the least common multiple of 636 and o(12)?
2544
Let d(t) = 10747*t + 1559. What is the least common multiple of d(1) and 10?
61530
Suppose -6*k - 3*d - 9 = -3*k, 0 = 4*d + 12. Suppose -5*x + 49 + 11 = k. Let o = 17981 + -17973. What is the smallest common multiple of o and x?
24
Let m be (-166)/8 + (-1 - (-56)/32). Calculate the least common multiple of 12 and 72/(8/(m/(-5))).
36
Let r = -14161 + 2548991/180. Calculate the common denominator of -11/108 and r.
540
Let w(h) = -h**3 - h**2 + 165. Let j be w(0). Suppose 0 = o + 4*o - j. Let d = -244 + 250. Calculate the smallest common multiple of d and o.
66
Let t = 251 + -230. Suppose -t*g + 9*g = -396. What is the lowest common multiple of 99 and g?
99
Calculate the common denominator of 116/10 + (-1)/2 and (8 + (-1027)/169)/(-3).
390
Let b be (0 - (2 + 3/(-6)))*2. Calculate the common denominator of (171/6)/(33/(-4)) and 426/198 - (10/3 + b).
11
Let g = 65809/6 - 10970. Calculate the common denominator of (-2)/10*1185/(-54) and g.
18
Suppose 0 = 30*i - 1664 + 824. What is the smallest common multiple of i and 434?
868
Let n be -13*12/(-468)*9. Suppose -u + 39 = 3*t, -u = -2*t - 1 + 22. What is the common denominator of 101/6 and ((-6)/(-1152))/(n + (-45)/t)?
144
Let g(c) = c**2 - 45*c + 450. Suppose 4*a - 74 = 3*n + 21, 5*a + 3*n - 139 = 0. Let d = 62 - a. Calculate the lowest common multiple of d and g(14).
144
Let t be ((-644)/(-165) + -4)*(-2766)/52. Let y = t - -6/143. Find the common denominator of y and 141/235 + (1 - 374/(-10)).
5
Let q(c) = 7*c**3 + 2*c**2 - 2*c + 1. What is the lowest common multiple of q(1) and (45/(-10))/(117/(-5512))?
424
Suppose 0 = 6*a - 10*a + 12. Suppose 0 = -3*r + 5*n + 34, -3*n = 3*r + a - 45. Suppose 0 = -r*z + 29 + 49. What is the smallest common multiple of 21 and z?
42
Suppose -3*a = 4*v - 58, -2*a + 5*a + 5*v - 62 = 0. Suppose -n = -2*k - 10, -2*n + 0*n = -k - a. Suppose n = c - 31. Find the common denominator of c and 8/3.
3
Calculate the common denominator of (-4)/8 + (-34)/(-29) and (-50)/(-12) + 480/24.
174
Suppose 0*g - p = 2*g + 30, 3*g - 3*p = -36. Calculate the common denominator of (g/84)/(2 + (-1677)/855) and -87/22.
22
What is the common denominator of (2214/(-4425))/(-3)*(6386/248 + -27) and 5*1*(-26)/24?
3540
Let h be ((-7)/(-14))/(2/8). Suppose 2*n + n + 5293 = h*y, 4*y - 10607 = -n. Let q = 21171/8 - y. Calculate the common denominator of q and 133/6.
24
Let k = 2 - 2. Let a(u) = 2*u**3 - 3*u**2 + 2*u + 72. What is the smallest common multiple of 2 and a(k)?
72
Let q be (-5)/(-48)*183/(-30)*-3813. Let d = q - 2424. Calculate the common denominator of 43/24 and d.
96
Suppose 2*b + 20 - 186 = 2*v, 5*v = -b + 65. Calculate the lowest common multiple of 50/4*(-84)/(-105) and b.
80
Let q = 6726/7 - 161753/168. Find the common denominator of q and (-303)/(-6)*-10*(-12)/(-1080).
72
Suppose 8*l - 9*l = 5*c + 23, 0 = -5*l + c + 15. What is the smallest common multiple of 227 and l?
454
Let p = -402935767/5712 - -70542. Calculate the common denominator of p and -87/56.
5712
Let o = -4/1811 + -34157/114093. What is the common denominator of 16/909 and o?
6363
Let v = -29/3 - 5/6. Find the common denominator of 235/(-38) + 35/5 and v.
38
Let u = 2/2385 - 24331/4770. What is the common denominator of -8/11 and u?
110
Let b = -285 + 442. What is the smallest common multiple of b and (4/36)/(5/225)?
785
Let a(j) = j**3 + 14*j**2 + j + 26. Let q = -24 - -14. Let y = q + -4. What is the least common multiple of 24 and a(y)?
24
Suppose 2*k + 401 - 381 = p, 2*p - 5*k - 35 = 0. What is the lowest common multiple of 1296 and p?
6480
Suppose 5*y + 5 = -0, 0 = -5*q - y + 29. What is the smallest common multiple of (-30)/270*-135 + -14 and q?
6
Let t = 48 + -47. Let m be (227 - 0) + -3 + t. What is the common denominator of 14/(-4)*m/(-35) and 19/10?
10
Find the common denominator of -9 + (-14855)/(-1260) - 3 and -45/7.
252
What is the smallest common multiple of 6 and (63/7 + -12)*344/(-6)?
516
Let k = 6940 - 5680. What is the smallest common multiple of 72 and k?
2520
Suppose 9*o = 19*o - 3663 + 1003. Calculate the smallest common multiple of 98 and o.
1862
Let d = 791/6 + -2830/21. Let x = -11611 - -243748/21. Calculate the common denominator of d and x.
42