).
258
What is the smallest common multiple of 58220/451 - (-20)/22 and 40?
520
Let s = -390329/175230 - -2/7965. Let p(x) = 40*x**2 - 6*x - 8. Let o be p(-4). Calculate the common denominator of s and 1/4*o/280.
770
Let u = -217823/35070 + -8/2505. Let t be (-5)/(-255)*(2 + 4). Let b = t - 2081/204. What is the common denominator of b and u?
84
Suppose 520 = 2*d - n, -4*d - 2*n = -1769 + 729. Calculate the lowest common multiple of 1118 and d.
11180
What is the common denominator of (-3)/36*-6*73 and (52/16)/((-10)/4)?
10
Suppose 2*d + 4 = 4*d. Suppose 0 = -5*l - 25, 0*l + 273 = d*q + 3*l. Suppose 11*o - q = 3*o. What is the least common multiple of 48 and o?
144
Let f = 374039 + -201981001/540. Calculate the common denominator of -47/210 and f.
3780
Suppose -2*k - 3*h = -302, -2*h = 4*k - 275 - 305. What is the smallest common multiple of k and 2?
142
Let p = -250 + 252. Suppose -153 = -15*d - p*d. Calculate the lowest common multiple of 6 and d.
18
Suppose 0 = g - 4*g - j - 5485, 2*g - 5*j = -3651. What is the smallest common multiple of -3 + g/(-16) - 2/8 and 3?
111
What is the common denominator of 135/282 + (-2)/(-4) and 53/(6413/66) - (-718)/176?
376
Let p be 943546/(-36) + (1 - 10 - -10). Let l = 26217 + p. Calculate the common denominator of -17/21 and l.
126
Let q(j) = 13*j - 2. Let w be q(-3). Let o = w + 61. Suppose -314*b + 313*b - 2*f + 19 = 0, -3*b - 5*f = -65. What is the least common multiple of o and b?
140
Suppose 0 = 5*r + 6 - 16. Find the common denominator of ((-14)/(-2))/(-105)*r/6 and 27/10.
90
Calculate the smallest common multiple of 408 and 4 + 1760/10 + -12.
2856
Let z = -5335 + 5338. Let p be ((-4)/(-6))/((-10)/75). What is the lowest common multiple of z and (-36)/(-5) - p/(-25)?
21
Let o be ((-4)/(-121630))/(62/(-10) - -6). Let s = o + -449947/510846. Calculate the common denominator of -67/60 and s.
420
Suppose 2476 = 4*u + 4*g, 18*g = -u + 14*g + 616. Calculate the least common multiple of u and 186.
1860
Let s(m) be the third derivative of 1/2*m**3 - 1/120*m**6 - 18*m**2 - 1/12*m**4 + 0 + 1/10*m**5 + 0*m. What is the lowest common multiple of 12 and s(5)?
36
What is the common denominator of (-598)/(-2093) + (-683)/14 and 1 + -1 + (-57)/(-150)?
50
Let g(w) = -2*w**2 + w. Let k be g(-1). Calculate the common denominator of (-931)/(-570)*k/(-21) and 56/15.
30
Let o = -5914/3 + 1952. Let d = -543 - -824. Let q = 875/3 - d. Find the common denominator of o and q.
3
Find the common denominator of (-4)/(-3072)*-1222 + 5/4 and 19/174.
11136
Find the common denominator of 32/59 and (1740/330)/(27/33) - (0 + 2).
531
Let t(u) = 1437*u - 1429. What is the lowest common multiple of t(1) and 4353?
34824
Suppose 2 = -2*t, -t - 1 = 3*n - 6*n. Suppose -110 = -n*o - 5*o. Let u = -4 + o. What is the least common multiple of u and 40?
360
Let z = -25253 - -176746/7. Calculate the common denominator of 37/931 and z.
931
Let t = -2/1363215 + 12451109/280822290. What is the common denominator of t and -77/30?
3090
Suppose -3*o - q = -11, -1 + 0 = -3*o + 4*q. Find the common denominator of -44/27 and o/((-9)/(-1)) - 1596/720.
540
Let t = 7831 + -9271961/1184. Calculate the common denominator of 53/48 and t.
3552
Suppose -3*u + 16 = 5*h, u - 5*u = -3*h - 60. Suppose 3*c + u = 6*c. Find the common denominator of 57/2 and 23*2/c - (-2 + -1).
2
Let u(g) = 3*g**2 + 5*g - 5. Let x be u(5). Find the common denominator of (7/(3 + x))/((-72)/(-490)) and -5/12.
72
Let a = 513110/7 + -72594. Let l = 99369/140 - a. Let o = -7/687 + -28027/13740. What is the common denominator of l and o?
20
Let n(l) be the third derivative of l**5/30 - 5*l**4/24 - l**3/2 + l**2 + 2*l. Calculate the smallest common multiple of n(4) and 113.
1017
Let w be (-4)/(16/(-76)) - (-5 + 0). Find the common denominator of 87/488 and ((4590/w)/(-17))/((-3)/(-2)).
488
Suppose -q - 5*g - 1869 = 25, 5*g - 9620 = 5*q. Let t = q - -86327/45. Calculate the common denominator of t and 32/5.
45
Let q = 1304 + 3489. Calculate the smallest common multiple of 10 and q.
47930
Let j = -64 + 56. Let z be (-1)/((-2)/(-3)*(-4)/j). Find the common denominator of (-13)/(-29) - z/(6/(-4)) and 42/5.
145
Let l(z) = z**2 - 9*z + 1. Let a be l(9). What is the smallest common multiple of -1*(-1 + a) - (-3 - 0) and 24?
24
Let j be ((1 - 2 - 1) + -2)/(-1). Suppose 0 = -j*s + 66 + 74. Let a = s + -32. What is the smallest common multiple of 6 and a?
6
Suppose -3*i + 31 = 2*b, -3*b + 19 - 4 = i. Let o = -230 - -323. Let w = o - 51. Calculate the lowest common multiple of i and w.
126
Let x = -703 + 758. Find the common denominator of 37/34 and (-6)/85*(3 - x/10).
34
Calculate the least common multiple of 63/(-6)*(-1380)/21 and 138.
690
Suppose -56 = -3*v - 434. Find the common denominator of (-571)/v - (-47)/(-329) and -97/42.
126
Let p = -33407/116620 - -97/340. Let t = 16123/1715 + p. What is the common denominator of -139/30 and t?
30
Let u = 88 + -41. Suppose 0 = -16*b + 11*b - s - 231, 195 = -5*b + 5*s. Let z = b + u. What is the lowest common multiple of z and 1?
2
Suppose 0 = 2*h - 0*h - 28. Let t be ((-6)/10)/((35/50)/(-7)). What is the smallest common multiple of h and 8/(-2) + 0 - t*-2?
56
What is the lowest common multiple of 14181/1956 - ((-3)/4 - 0) and 1136?
1136
Let t be (-1 + 7)/((-3)/220). Find the common denominator of -1 + -3 + (-154)/t and 24/18*102/(-32).
20
Let i = 2449 - 1468. Suppose -9*h = -0*h - i. Suppose h*g + 20 = 113*g. Calculate the least common multiple of g and 65.
65
Let y(o) = 4*o - 24. Let i be y(10). Suppose -3*t + 3*u + 9 = 0, 2*t - 7*u + 10*u - i = 0. What is the smallest common multiple of 5 and t?
5
What is the common denominator of (-19)/4 + 1 - (-24)/(-20) and -137/588?
2940
Let h = 18281 - 18065. What is the least common multiple of h and 252?
1512
What is the common denominator of (-24)/52 + (-125281)/(-253500) and -49/200?
3000
Suppose 72*p = 67*p - 10. Let g(d) = -30*d - 42. What is the least common multiple of 60 and g(p)?
180
Suppose -46*o - 21 = -47*o. Suppose 24 = a + o. What is the lowest common multiple of 45 and a?
45
Let u = -70959169/4694100 - -2/391175. Let f = -21/20 + u. What is the common denominator of 6935/418*(2 - (-18)/(-10)) and f?
66
What is the least common multiple of 4060 and (-1221 - -3)*300/(-100)?
36540
Let l(v) = -2*v + 9. Let y be l(2). Find the common denominator of (-110)/24 - y - -3 and 107/100.
300
Suppose 8*p = 6*p - 14. Let m be 1*12/p*-7. What is the common denominator of 344/(4 - 0)*(-1)/m and -49/8?
24
Let c = 185189/829362 + 1/8823. What is the common denominator of c and 53/564?
564
Let b be 354/(-4)*(-10)/15. Let r = -4 - b. Let q = r + 77. What is the lowest common multiple of 30 and q?
210
Suppose -3*x + 18 = -2*d, 0 = -2*x - 3*x + 3*d + 29. Calculate the smallest common multiple of (9 + -2 + 0)/(4 - 3) and ((-452)/6)/(x/(-6)).
791
Let l be (36/16 - 6)/(6/(-8)). Let w(f) = -f + 19. What is the smallest common multiple of 28 and w(l)?
28
Let q be 9/(-12) - -24342*9/72. Let n = -97439/32 + q. Calculate the common denominator of -21/4 and n.
32
Suppose x + 3*x - 200 = 0. Let c = 6175 + -6130. Calculate the smallest common multiple of x and c.
450
Suppose -13*v - 2*n + 159275 = -8*v, -5*n = 0. Let b be (-2 - v/(-140))*4/(-6). Let k = 154 + b. What is the common denominator of 67/2 and k?
14
What is the smallest common multiple of 15 and 218 + (14 - (0 + (-5 - -10)) - 6)?
3315
What is the least common multiple of (-3)/(6/(-44) + 0) and -39 + (-22951)/(-590) - 2*(-991)/20?
198
What is the common denominator of ((-1624)/(-261) - (-4)/(-18)) + (-6812)/1155 and -21/110?
2310
Let z(u) = -2*u**2 + 103*u + 1314. What is the lowest common multiple of z(62) and 5976?
5976
Let a(v) = -v + 1. Let s(x) = -8*x - 183. Let n be s(-41). Suppose 16*u - 319 = n. What is the smallest common multiple of a(0) and u?
29
Let t(r) = r**3 + 80*r**2 - 612*r - 241. Suppose -2*n - 6 = 0, 4*p = n + 12 + 79. What is the lowest common multiple of t(-87) and p?
220
Suppose 0 - 25 = 5*z, -i = -3*z - 36. Suppose 4*u = -5*o - 12, -8*o = -2*u - 9*o. What is the lowest common multiple of 18/u - (-72)/(-24) and i?
42
Suppose 2*v = -2*o + 318, 4*v + 10*o - 621 = 11*o. Calculate the smallest common multiple of v and 2.
156
Suppose -17 = g + 5*p, -5*g - 