 Let m = 6 + -4. What is the common denominator of r and m?
30
Let j = 9875 + -9056. What is the least common multiple of 351 and j?
2457
Let j = 7409 + -6927. What is the lowest common multiple of 20 and j?
4820
Let q(m) = -253*m - 4735. What is the lowest common multiple of q(-19) and 24?
72
Let w = 239 + -229. What is the common denominator of w/450 + 3/9 and 29/35?
315
Let n = 240 - 237. Suppose n + 1 = d + 5*a, 3 = -a. Calculate the lowest common multiple of d and 10.
190
Suppose x - 3*x + 144 = 0. Find the common denominator of -2 - -314*3/x and ((-6)/11)/((-72)/(-420)*85/(-51)).
132
Calculate the common denominator of (8/(9600/(-234)))/(24/(-35)) and -181/720.
2880
Let x(z) = z**3 + 6*z**2 + 4*z + 9. Let r be x(-5). Let i = 108 - 99. Suppose -i*l = r - 32. What is the smallest common multiple of l and 1?
2
What is the common denominator of (-13 - 460/(-35)) + 1731/3906 and -38/341?
2046
Let k = 18554 + -1336039/72. What is the common denominator of k and -3/268?
4824
Let z = -86575/12228 - 10/3057. Let j = 987632/165 + -5986. Find the common denominator of j and z.
660
Calculate the common denominator of (8/(-12))/(836/(-3363)) and 107/260.
2860
Calculate the least common multiple of 14 and 206/((11/66)/(164/8)*1).
177366
Let i = 47307/56 + -843. What is the common denominator of 1599/210 - 27*329/6345 and i?
56
Suppose 0*d + 275 = -5*d. Calculate the least common multiple of 77 and ((-3)/((-60)/d))/1*-28.
77
Let q(r) = -3*r - 11. Let h be q(-5). Suppose -3*g - 4*a = -6*g - 32, -h*g - 5*a = -9. What is the common denominator of ((-285)/110 - g) + 0 and 63/16?
176
Let s = 16409 + -361021/22. What is the common denominator of s and -69/88?
88
What is the common denominator of -56/9 and -3*2 - (4 + (-9 - 5376/5076))?
423
Let b(p) = -148*p**3 + 2*p**2 + 4*p + 10. Let c be b(-2). Calculate the common denominator of (c/120 - 2) + -6 and (118/(-6))/(20/3).
20
Calculate the common denominator of -73/20 and 627/(-176)*(0 + 12/(-159)).
1060
Let l(c) = 573*c - 3142. What is the least common multiple of l(14) and 11?
53680
Suppose 10*x + 3363 - 159983 = 0. Calculate the lowest common multiple of 20 and x.
156620
Suppose -16*i = -34 - 190. Suppose c = i*c - 286. Calculate the smallest common multiple of c and 16.
176
Let i = 56/37613 + 81876389/4776851. Let g = -342107/11430 + i. Let b = g - -316/15. Calculate the common denominator of 29/16 and b.
144
Let l be -1 - (-1 + (-4731 - -1)). Suppose -4*r - l = 1210. What is the common denominator of -37/14 and 3 - (r/80)/(-3)?
112
Let s be 2 - (169945/84965 - 0). Let c = 1546561/1121538 + s. Calculate the common denominator of -59/42 and c.
462
Let q be (14*189/(-12))/((-2)/4). Suppose -6*y = q + 189. Find the common denominator of 73/16 and 4/(-1) + (-4)/(128/y).
32
Suppose 12*y + 2 = 326. What is the common denominator of ((-20010)/116)/(0 + y) and 67/116?
1044
What is the smallest common multiple of 89 and ((-4)/7)/(6 + (-44)/7)?
178
Let n be ((-70)/(-12))/((-996)/(-497) - 2). Let b = -4420/3 + n. Calculate the common denominator of 41/(-5) + 42/(-70) and b.
20
Suppose 4*p - 95 = -p. Let u be 1*-5 - 0/(-6). What is the lowest common multiple of 1*p + 2*(u - -6) and 6?
42
Suppose 3*b + v - 629 = 0, -19*v - 3 = -16*v. Calculate the common denominator of 202/(-10)*10/(-16) and 4711/490 - (4 + b/(-49)).
40
Let f be (-6)/(-45) - 12842/15 - 5. Calculate the smallest common multiple of 120 and (-6)/8 + 3 + f/(-28).
1320
Let q(c) = -8*c - 611. Calculate the smallest common multiple of 12 and q(-79).
84
Calculate the lowest common multiple of (-3 - -4 - 4 - -2623)*(-17)/(-34) and 18.
11790
Let d = -84779/10 - -8472. Let t = -5590 + 44631/8. Calculate the common denominator of t and d.
40
Let q(m) = -2*m**2 + 30*m + 80. Let t be q(11). Suppose 2*s + 3*r - t = 0, 0*s - 470 = -5*s + 5*r. Calculate the smallest common multiple of 120 and s.
360
Let p = 75/26 - -139/78. Calculate the common denominator of p and -71/492.
492
Let h be -1 + -1 + 65/13. Suppose -4*l = -2*q - 6, h*l + 10 - 2 = 4*q. What is the least common multiple of 1/(-3)*78/(-2) and l?
52
Suppose -i + 3 = x, -x + 5*i = 4 - 1. Suppose -x*g + 63 = r, -4*r + 0 = -12. Calculate the smallest common multiple of 2 + 2 - ((-27874)/3465 - 6/(-135)) and g.
60
Let p be (-8)/36 + (-1)/(18/(-220)). What is the common denominator of 2/7 - 449/28 and ((-3)/30 + 0)/(p/1010)?
12
Suppose -3*c - 2*c = 0, -4*y = -5*c + 20. Find the common denominator of 5/2*3/12 and (3/y)/((-18)/(-1305)).
8
Suppose 0 = 4*g - 12*g + 24. Calculate the common denominator of 47/55 and g + 486/120 - 3.
220
Suppose -4*t + 1038 = 3*q - t, 3*t = 5*q - 1698. Let j = -2090/3 - -12419/18. What is the common denominator of ((-8)/(-36) - 0)/((-24)/q) and j?
18
Let p(n) = -2*n**2 + 69*n + 91. Calculate the least common multiple of 288/20 - 2/5 and p(35).
56
Let s = 66781/40848 - -28/2553. What is the common denominator of -64/189 and s?
3024
Let b = 755 + -724. Let v = 75 - b. Calculate the lowest common multiple of 128 and v.
1408
Let l be (-5)/(60/(-8)) + (-1065)/(-9). Let x = -231 + l. Let z = x + 148. What is the smallest common multiple of 32 and z?
288
Let g(p) = 1271*p + 19. Let n be g(3). Suppose -14*o - n = -16*o. Let m = o - 61383/32. What is the common denominator of m and -27/16?
32
Let j(p) = -6*p - 1. Let k be j(2). Let h = k - -18. Let g = 2016 + -2005. What is the lowest common multiple of h and g?
55
Suppose 4*s = q + 8, 4*s - 6*s + 76 = -5*q. What is the common denominator of (140/q)/(162/(-144)) and 19/9?
9
Let u be (28/6)/(-7 - (-140)/21). Let b(c) = -c**3 - 6*c**2 - 6*c - 5. Let l be b(-5). Let n = l - u. Calculate the lowest common multiple of n and 16.
112
Let v be -2 + (-2 - 2) + 2 + 0. Find the common denominator of -65/27 and (v/(-16) - (-2420)/384) + -6.
864
Let y = 57452581/2355 + -24396. Let b = 20254/2355 - y. What is the common denominator of b and 64/3?
15
Let u = 189 - 191. What is the common denominator of (-31)/6*(-8)/18 and (-260)/(-126) + (-20)/(-90)*u?
189
Let x = 51958939/179556195 + 2/657715. Calculate the common denominator of x and -2*(-130)/(-24) - 1.
546
Let o = -65 + 70. Suppose -o*d + 69 = 39. Suppose d*p - 9 = 15. Calculate the smallest common multiple of 12 and p.
12
Let p = -18 - -23. Let t(r) = r**3 + 9*r**2 - 11*r - 6. Let k be t(-10). Find the common denominator of (-49)/16*(p - k) and -29/4.
16
What is the common denominator of (-72)/(-21) + -2 + 3 + -4 and -93/14?
14
Let z = -2364499457/322330 + -243/128932. Let j = z - -7333. Calculate the common denominator of j and 113/42.
420
Let g = 118 - -289. Calculate the smallest common multiple of g and 407.
407
Let f = 3718 - 3698. Calculate the lowest common multiple of f and 274.
2740
Let k be (-2)/(-1) + 6 + -18 + 8. Find the common denominator of 65/42 and k*3*158/396.
462
Suppose 12*w - 16 = 8. Let k be ((-290)/(-6))/((-2)/192*w). Let d = k + 20858/9. Find the common denominator of d and 51/22.
198
Suppose -13*v + 1604 + 996 = 0. Find the common denominator of 39/110 and (-30)/v*(-158)/(-9).
330
Let f = 1402028/1381863 + -2/20027. Calculate the common denominator of -26/483 and f.
483
Suppose -2*b = -3*v + 213, 0 = 3*v + b - 106 - 125. What is the lowest common multiple of v and 55?
825
Suppose 1267*i + 3299 = 5*y + 1263*i, -2641 = -4*y + 3*i. What is the lowest common multiple of y and 575?
16675
Suppose 0 = -3*r - 6, -5*n + r = -0*n + 5478. Let f = 9898/9 + n. What is the common denominator of 50/9 and f?
9
Let d(o) be the first derivative of o**3/3 - 6*o**2 + 36*o + 47. Let u = 6 - -2. What is the smallest common multiple of d(4) and u?
8
Calculate the smallest common multiple of 66 and (0 + 54)/(42/798).
11286
Suppose 1 + 179 = 45*g. What is the smallest common multiple of g/(80/(-36))*-3*10 and 14?
378
Find the common denominator of -6 - 222/(-36) - (0 - 4) and -16/41.
246
Let d = -267611/126 + 14866/7. Calculate the common denominator of 19 and d.
126
Let r = 12389/59598 - -18/301. What is the common denominator of ((-6777)/(-1584) + -6)/(-18 + (-468)/(-24)) and r?
792
Let h(z) = -3*z**3 - 8*z**2 + 46*z + 145. What is the lowest common multiple of 5080 and h(-3)?
10160
Let f = -560/17 - -4751/153. Suppose -h + 3*u + 9 + 1 = 0, 2*h - 4 = 2*u. Find the common denominator of ((-96)/44 - h)