308
Find the common denominator of 4 + (-12 - (-48)/(-30)) and -4/959.
4795
Suppose -4*v + 15888 = 4*a - 4672, -3*v = 4*a - 15412. Calculate the lowest common multiple of v and 792.
10296
Let v be 7*2/56 + 16186/24. Let d = v - 687. Find the common denominator of d and 73/15.
15
Let s be (42/56)/(9/336). Find the common denominator of 13/138 and 3/((-9)/(-3)) - 122/s.
966
Let k(c) = -3*c**3 - 19*c**2 - 16*c + 23. Let y be k(-9). Let h = y + -701. Calculate the lowest common multiple of 133 and h.
798
What is the least common multiple of (-1068)/(-445)*(-160)/(-6) and 104?
832
Let f = 1263/160 + 125/32. Find the common denominator of f and -79/1070.
1070
Let r(g) = -1926*g - 28. Let y be r(8). Let i = 833593/54 + y. What is the common denominator of i and -149/12?
108
Let v = -45 + 47. Suppose -9*p = -4*n - 8*p + 81, 4*n = v*p + 82. What is the lowest common multiple of n and 264/26 - ((-120)/(-104) - 1)?
20
Let h = -44/63 - 1859/315. Let f = 117 - 69. Calculate the common denominator of h and 4 + -1 - (-872)/f.
30
Find the common denominator of (31/(-11))/((-18)/18) and -11/1279.
14069
Suppose -8 = -3*w + 34. Let g(p) = p**3 + 14*p**2 + 35*p + 17. Let q be g(-11). Let u = w + q. What is the lowest common multiple of u and 6?
18
Let k(u) = -u**3 - 12*u**2 + 30*u + 32. Let z be k(-14). Find the common denominator of (z/224)/(1/54) and -85/12.
84
Let o(j) = -j**3 + 16*j**2 + j - 11. Let a be o(16). Let r = -78 + a. Let l = 84 + r. What is the smallest common multiple of l and 51?
561
Let f be 4/(-12) - ((-42)/(-9) - -3). Find the common denominator of -49/229 and (-38)/(-95)*485/f.
916
Let d = 7633 - 1015226/133. Find the common denominator of 95/16 and d.
2128
Let r(q) = -q**3 - 10*q**2 + 5. Let s be r(-10). Let l be (-2786)/1736*(-24)/s. Let a = 37/62 + l. Find the common denominator of -75/8 and a.
40
Let l = 509943/110 + -23159/5. Calculate the common denominator of 97/1176 and l.
12936
Let b = 76 - 64. Let q = 16 - b. Suppose -4*h - 3*l = -309, -308 = -q*h - l - 3*l. What is the smallest common multiple of 8 and h?
312
Let q = -2/40067 - 358129/49562879. Let g = q - -147437/32162. Let z = -38/13 - g. What is the common denominator of z and 39/2?
2
Let q be ((-24)/120)/(2/10). Calculate the common denominator of (7 + 906/(-72))*q and -55/36.
36
Find the common denominator of (-164)/112*(20/(-15))/(-4) and -85/144.
1008
Suppose 2*a - 4*a = w - 63, -w = 3. Calculate the least common multiple of 204 and a.
2244
Suppose -21 = -4*g + 3*o + 15, 5*o = -g - 14. Let q = -403 - -420. What is the lowest common multiple of g and q?
102
Let v(y) = -3*y**2 - 107*y - 599. Calculate the smallest common multiple of 1308 and v(-7).
1308
Let u(s) = -195*s - 941. What is the smallest common multiple of u(-7) and 3?
1272
Let n = -63 + 68. Suppose 16 = -2*x + 3*j, -40 = n*x - 0*x + 3*j. Find the common denominator of (-1)/x*(-1)/33*-652 and 101/18.
198
Suppose -16 = 4*w, -74*g - 2*w = -73*g - 16. What is the lowest common multiple of 11568 and g?
11568
Let v = 2751/8 - 342. Calculate the common denominator of v and (586/3516)/((-3)/201).
24
Let r = -49855/4088 - -36/511. Find the common denominator of 22/(-84) + (-5 - -5) and r.
168
Let z(w) = 2*w + 18. Let j(d) = -2*d - 17. Let r(g) = 5*j(g) + 4*z(g). Let p be r(-7). Calculate the lowest common multiple of (-182)/(-84) - p/6 and 11.
22
Suppose 290 = 5*b - 310. Let o = b - 86. Let z = 2 + o. What is the least common multiple of z and 6?
36
Let p be -5 + 11 + (-83482)/24. Let v = p + 3482. Find the common denominator of 137/12 and v.
12
Let n be (-500)/12 + (-10)/30. Suppose 2*y - 18 + 0 = -4*h, 4*y = 4*h - 12. Find the common denominator of (-112)/n + 1 + y and -13/9.
9
Let w be -432*((-1)/6 + (-65)/(-78)). Find the common denominator of (-3)/(w/(-330)) - -3 and (-89)/162 - 6/(-9).
1296
Let o be (-1 - 3442/414)*(-3744)/(-858). Let j = o - -909/23. What is the common denominator of (-2)/8 + 21/(-72) and j?
264
Let d = 17790 + -782823/44. Calculate the common denominator of -55/604 and d.
6644
Let b(w) = 70*w + 9592. Suppose 0 = -4*p - 5*i + 22, -5*p + 2*p = 3*i - 18. What is the smallest common multiple of p/6*3/1 and b(-137)?
4
What is the smallest common multiple of (800/320)/(1/120) and 40?
600
Let f = 7 - 3. Suppose -f*n - 54 = -7*n. Let v(g) = -3*g**2 - 35*g - 18. What is the lowest common multiple of n and v(-11)?
36
Let m = -216 + 135. Let p = 99 + m. Calculate the smallest common multiple of 6 and p.
18
Let r = -10799 - -11067. What is the lowest common multiple of r and 40?
2680
Let j = 377 + -378. What is the common denominator of 55/4 and j/(-12) - (-209)/(-38)?
12
Suppose 0 = -5*b + 15, -r = -4*b - b + 9. Let t = 69 - 30. Let v = t - 38. What is the smallest common multiple of v and r?
6
Let z(u) = 2*u**3 - 4*u**2. Suppose f + 79 = 5*x, 15871*x - 15870*x = -3*f + 19. Calculate the lowest common multiple of x and z(4).
64
Let h be (-4920)/(-2461) - (-3 - -5). Let f = -46795/44298 - h. What is the common denominator of 35/60*((-150)/14)/3 and f?
36
Suppose -h - 9*j = -6*j + 13, -11 = -3*h + j. Suppose -l + 3*l = 0. Suppose -h*d + 5 + 83 = l. What is the smallest common multiple of d and 28?
308
Let q(p) = -57*p**2 - 2*p. Let g be q(-1). Let l = 70 + g. Suppose -3*n = 2*n - 45. Calculate the least common multiple of l and n.
45
Let x(d) = -6*d**3 + 20*d + 78. Calculate the least common multiple of x(-3) and 20.
180
Let v be -5 - (-9 - (-2)/1). What is the common denominator of (-4)/3*(-47)/(-16) and (v/(-114))/(2420/1215 + -2)?
228
Suppose -2*i = i + 6. Let m(p) = 3*p**2 - 3*p - 3. What is the lowest common multiple of -5 + ((-59)/7)/(-169 - -168) + 6/(-14) and m(i)?
15
Let o = -649 - -555. Let b = -74 - o. What is the smallest common multiple of 96 and b?
480
Let v = 92 + -85. Suppose 3*b = v*b - 40. Calculate the smallest common multiple of b and 14.
70
Calculate the common denominator of 92/23920*(-2604)/(-2) - (-2 - -6) and -38/2483.
24830
Let l be (150/(-20500))/(6/1328). Let k = 9/41 + l. What is the common denominator of k and 43/5?
5
Let h = 3250 - 12967/4. Calculate the common denominator of (-1)/(12/(-262)) - 3 and h.
12
What is the common denominator of -119/1464 and ((-6)/57 - 0) + (-75411)/(-20216)?
1464
Suppose 0 = -5*c + 5*a + 145, -3*a - 59 = -39*c + 37*c. Calculate the least common multiple of c and 10.
140
Let t = -9436654251685/198 - -47660173284. Let h = t - 303324. Let p = 25/11 - h. Find the common denominator of p and -1/9.
18
Let w be 4/((-5)/(-4 + 14)). Let b = -9 - -22. What is the lowest common multiple of b and 4/(-10)*-35 + w?
78
What is the common denominator of (3/6)/(60/(-625)) and 163/(-35)*100/(-120)?
168
What is the smallest common multiple of 666/15651 + (-46383)/(-141) and 329?
329
Let j = 12778/3 - 4238. What is the common denominator of j and 1/(-2) + (-20)/(-74)?
222
Suppose 0 = -h - 2*v - 4, -4*h + 5*v + 21 = -h. Suppose 3*b - 34 = j, -h*j = -b - 3*b + 46. What is the smallest common multiple of (-20)/(-8)*1*2 and b?
55
Let m = -2268055/5464578 + 3/37174. Find the common denominator of m and -16/93.
4557
Let y = 22889 + -22839. What is the smallest common multiple of 1290 and y?
6450
Let h = -43837/12 - -3662. Suppose -7*n - 70 = -3*n - 5*w, -5*n - 110 = 5*w. What is the common denominator of 15/n + 436/16 and h?
12
Calculate the least common multiple of 5 - (-40 - -35 - -2*3) and 52.
52
Let q = 2972/2223 + -5/171. What is the common denominator of q and ((-3)/8)/(2/104)?
26
Let l = 840009 - 327603311/390. Find the common denominator of 101/156 and l.
780
Let h(w) = w - 5. Let i(d) = 3. Let u(m) = -6*h(m) - 11*i(m). What is the smallest common multiple of 11 and u(-2)?
99
Let j(l) = 53*l + 289. Let d be j(-13). Let p = -381 - d. What is the lowest common multiple of p and 7?
133
Suppose 32*a - 1770 = -1514. Calculate the smallest common multiple of a and 200.
200
Let w(o) = 7*o - 54. What is the smallest common multiple of 324 and w(9)?
324
Let t = -1408/3474553 - -85358198063/134360964510. Let q = t + -2/1289. Calculate the common denominator of 86/12*40/(-60) and q.
90
Suppose 13374 = 2*p - 5*k, -31*p + 28*p + 3*k = -20025. Calculate the least common multiple of 6 and p.
40002
Suppose 19*r - 24*r = -5, 3*z + r - 46 = 0. What is the common denominator of (70/z