t is the smallest common multiple of b and 6?
12
Suppose 4*t + c - 102 - 2387 = 0, 25 = 5*c. Suppose 5*j - t = -216. Calculate the lowest common multiple of j and 21.
567
Let o = -771325 + 1654492093/2145. Find the common denominator of o and -1/975.
10725
Let c be (-229)/(3 - (-30)/(-9))*2. Suppose -3*u + 3*f + c = 0, 4*f + 2292 = -4*u + 9*u. Calculate the lowest common multiple of 5 and u.
460
Let i(b) = -2*b**2 - 38*b - 42. Let h be i(-18). What is the smallest common multiple of 168 and h - (-17 + 7) - (0 - -2)?
168
Suppose 1869 = x + 2*x. What is the common denominator of (-4)/(-10)*x/(-28) and (-1 - 0) + ((-931)/38 - 4)?
10
Suppose 0*d + 3*d - 1 = 5*w, -13 = -3*d + 2*w. Let h(g) = 317*g + 969. Calculate the lowest common multiple of h(-3) and d.
126
Let k be (((-150634)/6)/11)/((-1)/(-3)). Let w = 3975 + k. Let f = 11571/4 + w. Find the common denominator of f and -97/54.
108
Let i(r) = 104*r**2 + 51*r - 48. Calculate the smallest common multiple of 36 and i(-6).
20340
Suppose 0 = -2*q - 4 + 2. Let j be (q*4)/(854/(-273)). Let y = j - -1806/305. Calculate the common denominator of 131/6 and y.
30
Let r(u) = 20. Let y(j) = -j + 1. Let i(n) = -r(n) + 6*y(n). Let c be i(-4). What is the smallest common multiple of 22 and (1 - c/6)/(3/(-72))?
176
Let o be (-9 + (-243725)/(-4110))/10. Let m = o + -74/411. Find the common denominator of m and -1/100.
100
Let f be ((-3)/(-6))/((-65)/60 + 1). Suppose 3*j = 7*j + 2*b - 42, -4*j + 27 = -b. Let l = j + f. What is the lowest common multiple of 1 and l?
2
Suppose 0 = 3*a + 4*l - 18, -4*a = -a + 3*l - 15. Suppose -7*y = -a*y - 75. Suppose -89*q - 900 = -139*q. Calculate the least common multiple of q and y.
90
Let h(f) = -f**3 + f**2 - 2*f + 273. Let l be h(0). Find the common denominator of -3 - (42/(-16))/(l/406) and -35/8.
104
Let i = -3667 - -5524. Calculate the lowest common multiple of i and 30.
18570
What is the common denominator of -53/2882 and 3/(1716/172) - (-2)/13?
2882
Suppose 0*u + 4*u = 40. Let v(g) = 303*g + 8. Let s be v(5). Let i = 6029/4 - s. What is the common denominator of i and u?
4
Find the common denominator of 73/2175 and ((-2)/(-42))/(-9 - (-20)/(-118)*-53).
15225
Let w = -254479/2 - -88652. Let t = -1273465/33 - w. What is the common denominator of 85/22 and t?
66
Suppose 0 = 39*t - 43*t. Let v be 8*(25/5)/(-2 - t). Find the common denominator of -37/15 and 272/72*(-6)/v.
15
Let m = -7061/8 + 885. Find the common denominator of (-17 + (-518)/(-28))*(-37)/3 and m.
8
Suppose 2*o = -4*c + 536, -4*o + 8 = -8. Suppose 54*a - 43*a = c. Suppose 5*u = i - 34, -2*i - 54 = -7*i - 4*u. What is the lowest common multiple of i and a?
84
Let b = -3807 + 38177/10. Let z = -59659/2 - -29867. Find the common denominator of b and z.
10
Let y(b) = 19*b + 1. Let r = 1493 - 353. Let x = -1136 + r. What is the smallest common multiple of y(1) and x?
20
Let b(s) = -426*s**3 + s. Let k be b(-1). What is the common denominator of -25/82 and 10/15 - (k/90 - -4)?
738
Find the common denominator of 5/138 and (6074/(-5856) - (1 - 2))*(332 + -334).
33672
What is the smallest common multiple of 15215 and ((-7)/3)/((2135/30)/(-61))?
30430
Let p = -3643571 - -24663332055/6769. Calculate the common denominator of -95/42 and p.
40614
Let s(x) = 183*x**2 + 153*x + 314. What is the lowest common multiple of s(-2) and 24?
4440
Suppose 4*a + 7*i = 3*i - 1000, 15 = 3*i. Find the common denominator of ((-412)/66)/((-8)/(-6)) and ((-10)/(-16))/(3 + a/100).
198
Let s = 274 - 273. What is the least common multiple of 123 and (-4 - -4 - 6)*(-3 - s)?
984
Suppose 3*m + 0*m + 75 = -5*q, -25 = m + 2*q. Let c = m - -71. Find the common denominator of c/12*(-18)/8 and 11/18.
72
Let h(i) = 3*i + 108. Suppose 3*y + 5*r = -y + 503, -675 = -5*y + 3*r. Calculate the smallest common multiple of y and h(20).
1848
Let d be (-66)/16 + (-4)/(-32) + 3. Calculate the common denominator of 0 - ((-195)/(-18) + d) and ((40/(-15))/(-4))/(16/(-378)).
12
Let b be (-4)/(-38) + (-1488)/(-304) + -19. What is the smallest common multiple of (-2 + b)*((10 - 6) + -5) and 2?
16
Let r(v) = 10*v**2 - 135*v + 163. Calculate the least common multiple of r(28) and 927.
38007
Let l = 1/148 - -2219/43956. What is the common denominator of -80/231 and l?
2079
Let j(i) = -4*i**2 - 11*i + 18. Let m(n) = -n**2 + 1. Let v(b) = j(b) - 3*m(b). Let s be v(-12). What is the common denominator of -1 + 4*s/132*-19 and -25/6?
66
Let m(c) = -204*c - 5704. Calculate the lowest common multiple of m(-28) and 2980.
5960
Let j(i) = -i**3 + 5*i**2 - 77*i + 301. Suppose 3*q - 5*u = 58, -50 = -5*q + u - 2*u. What is the least common multiple of j(4) and q?
99
Suppose 0*d = -2*d + 26. Let b = d + -10. Let q(i) = -57*i - 262. Calculate the least common multiple of q(-5) and b.
69
Let l(a) = -2*a**2 - 53*a - 350. Let o be l(-12). Let w be (-26)/(-4) + 1/2. Calculate the lowest common multiple of 36 and -4*(5 - o)*(-6)/w.
72
Let a = 455235/4 + -113793. Let i = -1697949/164 - -151225407/14104. Let b = i - 2955/8. Calculate the common denominator of b and a.
172
Let h = -89 + 70. Let p = h + 16. What is the common denominator of 12/5 and -3 - (138/(-50) + 3/p)?
25
What is the common denominator of 39/19 and (-40)/(-91) - (-848)/(-2968)?
247
Let b = 424604423/1414 + -300286. Calculate the common denominator of b and 13/2020.
14140
Let n = -117006 - -207802639/1776. Find the common denominator of -93/8 and n.
1776
Suppose -50*x - 6510 = -40*x. What is the common denominator of 82*(6 - x/(-108))/3 and 59/18?
54
Suppose -180*m + 201*m - 5208 = 0. What is the least common multiple of m and 248?
248
Let q be (-7 - -6)*5 + 57. Suppose j + m - 45 = 0, m + q = j + 13. What is the smallest common multiple of 54 and j?
378
Let b = 2409 + -2344. Calculate the smallest common multiple of b and 470.
6110
Let b be (-18)/(-6 - (-1460)/244). What is the common denominator of 1/36 and b/1188 - (-2 - -1)?
396
Suppose 0 = -5*o - 333 - 52. Let t = 72 + o. Calculate the lowest common multiple of (-150)/t + (0 - 2) and 36.
252
Let f = -76 + 156. Suppose -5*p = 2*k - 195, 33*k = 38*k + 2*p - 414. Calculate the least common multiple of k and f.
80
Let t = -18576463/400 - -46441. Calculate the common denominator of t and -79/24.
1200
Suppose 4*u = 4*m + 232, -4*u + 3*m + 232 = -2*m. Suppose -4*n = -3*n - 62. Let i = n - u. Calculate the smallest common multiple of 52 and i.
52
Let z = 9732308/295 - 32991. What is the common denominator of -62/35 and z?
2065
Let n = 8147 + -105966/13. Let j = -1/315 - 1354/69615. Let u = -2165/1989 + j. Find the common denominator of n and u.
117
Let n = 6329703829/249903710 + 2/3570053. Let o = 132/5 - n. Calculate the common denominator of o and 1 + 5/(-12) + 3.
84
Let y = 341161/61 - 5593. Let p = y - -2097/427. Calculate the common denominator of 73/40 and p.
280
Suppose 3*k - 3718 - 32 = 0. Let t = k - 5031/4. What is the common denominator of t and ((-144)/(-138))/12 + 3471/(-12144)?
176
Suppose -3822*v = -2977*v - 76050. Suppose 0 = 2*p + 3*a - 16, -5*p - 5*a + 29 = -3*a. What is the least common multiple of p and v?
90
Suppose -13*b + 12*b = -h + 128, -4*h = 2*b + 244. Calculate the common denominator of (381/(-21))/(540/b) and ((-6)/(-16))/(18/1016).
30
Suppose 9*v - 6 = 6*v - 5*d, -10 = -5*v - 4*d. Suppose 2*j + j = 3. Find the common denominator of 486/120 - (v - j) and -107/24.
120
Let j(z) = -2*z**2 + 24*z - 46. Let g be j(14). Calculate the common denominator of ((-2)/(-12))/(g/315) and -19/4.
68
Find the common denominator of ((-5)/(-7))/((-258)/(-5719)) and -17/367.
2202
Let a(n) = -n**3 - 43*n**2 - 158*n + 2. Let x = 488 + -527. What is the lowest common multiple of a(x) and 80?
80
Let c = -538 + 7509/14. Let u = 12077 + -241551/20. Calculate the common denominator of c and u.
140
Let s = 241 - 236. Suppose 1070 = s*d - 5*o, 8*o - 420 = -2*d + 6*o. Calculate the lowest common multiple of d and 10.
1060
Let v(g) = -2*g**2 + 4*g + 3. Let m be v(-1). Let a be (2 - (-44)/(-10))*190/m. Let u = -2276/15 + a. Find the common denominator of 82/33 and u.
165
Let o(i) = i - 4. Let z be o(3). What is the smallest common multiple of z - -35 - (25 - 30) and 18?
234
Let p be 1 + 1141/6 + (34 - 36). Let f(g) = 12*g - 8. Let w be f(-14). Let r = w + p. Find the common 