. Suppose 2*x + 22 = h - 5*h, h - 5*x - 11 = 0. What is the smallest common multiple of (4 - 3) + 3/(r/h) and 6?
6
Let s(v) = v**3 - 4*v**2 - 6*v - 49. What is the least common multiple of 1862 and s(7)?
7448
Suppose -3*y - 46 = 1571. Let j = y - -841. Calculate the lowest common multiple of 2/3 + j/6 and 21.
357
Calculate the common denominator of ((-6)/(-4)*6/4)/((-3528)/336) and 13/136.
952
Let t be 2/24 + (-32591)/(-966). Let w = t + -845/21. Find the common denominator of w and 35/6.
12
Suppose 0 = 2*h + 3*h. Suppose -5*f + f + 40 = h. What is the lowest common multiple of f and ((-2)/(-3))/((-2)/(-42))?
70
Let d be (-7334)/12 + (110 + 2)/(-14). Let g = 463 + -1086. Let f = g - d. Find the common denominator of 89/6 and f.
6
Calculate the least common multiple of 6 and 4*((-5)/(-10) - -13).
54
Let v = -45673 - -45684. Calculate the least common multiple of ((-4)/10)/(1/(-75)) and v.
330
Let a = -3483 - -6001. Let v = -15157/6 + a. What is the common denominator of v and 15/18*115/25?
6
Suppose -16*h + 297 = 11*h. Suppose -447 = -h*r + 114. Calculate the least common multiple of 6 and r.
102
Calculate the common denominator of 101/1794 and (1235/126)/5 - 4/56.
5382
Suppose -3*t - 143 - 1974 = p, -5*p - 10541 = 4*t. Let h = p - -21129/10. Calculate the common denominator of h and -97/22.
110
Let a(p) = p**2 - p - 4. Let l(g) = g**2 + g - 3. Let h be l(-3). Calculate the lowest common multiple of a(h) and (3/9)/(13/117).
6
What is the smallest common multiple of 204 and 2448/40*(2 + -3)*20/(-2)?
612
Suppose 2*c - 1852 = -n, 0 = c + 4*n - 3*n - 926. Let u = c - 112969/122. Let d = -392/183 - u. Calculate the common denominator of d and 109/10.
30
Calculate the common denominator of 1 + 17 + (-3382813)/188666 and -65/3.
1074
Let l(d) = 5 + d**2 - 2*d + 1 + 4 + 1. Suppose -16*c = -17*c + 4. Calculate the least common multiple of c and l(-5).
92
Suppose 3*q - 105582 - 51588 = -28*q. What is the smallest common multiple of q and 2028?
10140
Let t be ((-10)/(-7))/(6/84). Let w = t - -8. Calculate the least common multiple of 63 and w.
252
Let o = -2423376244812839/2167336120352480 + 501/7254438748. Let c = o + -1/21728. Find the common denominator of 23/11 and c.
110
What is the common denominator of 5940/2992 + (-2)/8 + -1 and (-298)/40 - 0 - (-15)/5?
340
Let c(n) = -n**3 - n**2 - 1. Let k be c(-1). Let b be (-3435)/2520 + 1/k. Let o = b + -3/56. What is the common denominator of -61/20 and o?
60
Let j be 9*1 - (-5 + 10). Suppose 100*c - j = 99*c. Suppose -3*v = -k - c*v + 19, v = -4*k + 79. What is the least common multiple of 12 and k?
60
Let s = 691193713322760359797/52585092074388222 + 33081/215267408749. Let h = s - 508/40713. Let c = -13140 + h. What is the common denominator of c and -93/22?
198
Let i be 55/(-5) + 3 - -4. What is the common denominator of 34/2*(-3)/66 and 4 - i/(-108)*39?
198
Let u(d) = d**3 + 6*d**2 - d + 2. Let p = -4043 - -4113. Calculate the least common multiple of u(-6) and p.
280
Let z(u) = u**3 + 1. Let p be z(0). Let y(o) = o**2 - o + 2. Let l be y(p). Suppose l*v - 254 = -74. What is the least common multiple of v and 20?
180
Calculate the common denominator of -181/630 and 6*(8/(-280))/((-16)/(-195)).
2520
Suppose -13*i + 18034 = 129*i. What is the lowest common multiple of 85 and i?
10795
Let y = 22280 + -18288. What is the smallest common multiple of 4990 and y?
19960
Suppose 2*n - 20 = -i, -i + 15 = n + 2*n. Suppose -12*h - 7*h = -362 - 208. What is the smallest common multiple of i and h?
30
Let z = 174995085 - 8049229939/46. Let b = -11825 + z. Find the common denominator of b and 17/5.
230
Let l be (-4)/(-14) + (-4)/(-320). Let x = 18/35 + l. Calculate the common denominator of x and -17/44.
176
Suppose -24480 = -47*d + d - 50*d. Calculate the smallest common multiple of 80 and d.
4080
Let l be 3*312/(-18)*(-1)/4. Let h be (-492)/l + (-335)/65 + 5. Let a = h - -54. What is the lowest common multiple of a and 5?
80
Let r = -325553251/1416 + 229909. Let q = -190/59 + r. Find the common denominator of q and -71/28.
168
Let p = 140 - 180. Let t = p - -42. What is the least common multiple of 4 and t?
4
Let k(u) be the first derivative of -1355*u**2/2 + 8*u + 33. Let a be k(-1). What is the common denominator of 5 + -1 + a/(-580) and -71/68?
340
Let y(m) = 1363*m - 64. Let l be y(-5). Let x = -171941/25 - l. What is the common denominator of 61/50 and x?
50
Let v(p) = 19*p**2 + 44*p + 66. Let l(s) = 9*s**2 + 21*s + 32. Let x(q) = 9*l(q) - 4*v(q). What is the least common multiple of x(-2) and 86?
774
Let r = -13360 - -13383. Calculate the lowest common multiple of r and 419.
9637
Suppose 55 = -6*j + 11*j - f, 15 = 3*f. Calculate the least common multiple of ((-40)/j + 3)/(6/(-306)) and 6.
102
Let t(r) = -2*r + 11. Let z(h) = h**3 + 3*h**2 - 5*h + 3. Let q be z(-4). Let l be t(q). What is the lowest common multiple of 5 and 12*l/(-3) + -4?
40
Let h be ((-8)/((-48)/18))/(12/464). Suppose -h*p = -130*p + 56. Calculate the least common multiple of p and 158.
316
Let n = -20 + 49. Suppose 5*y - n = 21. Suppose -4*g = v - 120, 2*g + 12 = 3*v + 58. Calculate the lowest common multiple of y and g.
290
Let i = -2/9 + -1/6. Let k be (1 - -23)*(-6 - 25/(-2)). Calculate the common denominator of 2/14 + k/672 and i.
72
Suppose -3*j - 21 = 0, 169*u - j - 1 = 170*u. What is the least common multiple of 2/4 + 346/4 and u?
174
Suppose 2*a = -12, -3*q + 19*a = 14*a - 90. What is the smallest common multiple of 8702 and q?
87020
Let c be 490/4 + (-1)/2. Suppose 2*r = 4, 4*t + r + 0*r - c = 0. Let a = 1947 + -1920. What is the lowest common multiple of t and a?
270
Let p = 2763/13420 + 3/244. Find the common denominator of 19/490 and p.
5390
Let v(o) = 3*o**2 - 115*o - 42. Calculate the lowest common multiple of 14 and v(-22).
27580
Suppose q + 3 = 7, 0 = -2*l + 3*q - 10. What is the lowest common multiple of 1815/60 - (-9)/12*l and 11?
341
Let z = 43423 - 390832/9. What is the common denominator of z and (-1)/270*19*2?
135
Suppose 3*o + 7 = -5. Let x be (-13)/(-39) + o/(-6) + -42. Let v = x - -77. Calculate the smallest common multiple of 6 and v.
36
Let y = -3/343 + 8620637/2058. Let c = -4201 + y. What is the common denominator of c and -85/186?
186
Let s(p) = p**2 - 9*p - 6. Let j(f) = 3*f**2 + 51*f + 9. What is the smallest common multiple of s(10) and j(-17)?
36
Let v = 146 + 1494. What is the smallest common multiple of v and 328?
1640
Let r = 2177 + -111058/51. What is the common denominator of r and (10/2 - 482/90)/(18/105)?
459
Let x = -3870 - -3926. What is the smallest common multiple of 168 and x?
168
Let n(w) = 2*w - 5. Let y be n(3). Let o be 2/((y/(-30)*-3)/(-2)). What is the least common multiple of 2 and (0 - 3)/(12/o)?
10
What is the common denominator of 89/10 and 6 - (-11 + 11445/690)?
230
Let b(v) = 2*v**2 - 6*v + 110. Let o be b(7). Let y = 177 - o. What is the smallest common multiple of 103 and y?
1133
Let p be 6 - (1 + -4) - 3/(3 - 2). Let b(a) = 0 - 1 - 5 + a**2. Calculate the lowest common multiple of 21 and b(p).
210
Let r = -99/53 - -6202/795. What is the common denominator of 83/(-4)*(-1 - -2) and r?
60
Let z(k) = 15*k**2 + 4*k + 11. Let r be z(-2). Let m = 7 + 5. What is the smallest common multiple of 6/((r/6)/7) and m?
12
Let g(y) = 11*y + 222. Let q be g(19). Let a = q - 406. Calculate the smallest common multiple of a and 6.
150
Let k = 107/47 - -1674/235. What is the common denominator of ((-112)/6)/(3*-2) and k?
45
Let t(j) = j**3 - 16*j**2 + 2*j - 22. Let l be t(16). Let u be -5*(-8)/l + 0. Calculate the smallest common multiple of 3 and (-6)/(u + 44/(-8)).
12
Let k(n) = 40*n + 1748. What is the least common multiple of k(-36) and 896?
9856
What is the common denominator of (-18)/(-10)*74/48 and 494/(-13104) - 40/35?
360
Let z be ((-13)/3)/(2/(-6)). Calculate the lowest common multiple of 12 and 10/(-4)*(0 - 1092/z).
420
Suppose -4*f + 26 - 2 = 0. Calculate the least common multiple of f and (10 + -9)*(21 - (-18)/9).
138
Let r = -1169 - -2051. What is the least common multiple of 196 and r?
1764
Let u be (1 - 2) + 1*-1. Let t = -2836/3 - -952. What is the common denominator of t and 238/(-12) - 4/u?
6
Let v be 1/5 + 126/(-30). Calculate the common denominator of v/7 + (-10850)/(-6468) an