et i be ((-9)/(-15))/(2/10). Suppose 2*b + i = b, 4*b + 24 = 2*h. What is the least common multiple of h and 18?
18
Suppose 0 = 13*w + 95 - 823. Calculate the least common multiple of 70 and w.
280
Let o = -2/1953175 + 4127059143/359384200. Let t = o - -3/184. Find the common denominator of (-2)/(-18)*(17 + -88) and t.
18
Let h = -11 - -20. Suppose h*q - 64 = q. What is the least common multiple of q and 10?
40
Let j = -33370 - -11112197/333. Find the common denominator of j and -1/185.
1665
Suppose -20 = 2*o + 2*n, 16 = -4*n - 4. What is the common denominator of ((-2)/o)/(40/(-3050)) and -18?
2
Suppose -18*u - 40 = 2*u. Calculate the common denominator of 81/14 and ((-2)/(u/113))/(-6).
42
Suppose 0 = 3*l - 2*f - 88, 5*l - 69 = 3*f + 78. Calculate the lowest common multiple of 20 and l.
60
Let c = -65/71 + 4281/2272. Find the common denominator of -79/80 and c.
160
Let b = -126/31 - 21/155. Let x be (12523/49 - 4) + 3/1. Let v = 19378/77 - x. Find the common denominator of b and v.
55
Calculate the common denominator of (-185)/(-962)*(-76)/32 and -27/182.
1456
Find the common denominator of ((-3)/(-252))/(9/(-564)) and -143/70.
630
What is the lowest common multiple of (-7)/126*-6 + 322/6 and 69?
1242
Suppose 0 = -3*c + 3, -128 = -3*o + 5*c - 7*c. What is the lowest common multiple of 36 and o?
252
Suppose 2 = -h - 4*t, -1 - 7 = -2*h + 4*t. Suppose 2*n + 51 = 5*n - 3*a, -h*n = -5*a - 49. What is the smallest common multiple of n and 3/(3/37) + -1?
36
Calculate the common denominator of (-205)/(-9)*(264/(-80))/(-11) and 45/938.
2814
Suppose 39 = 5*x + o, 6*o - 40 = -4*x + 3*o. Let c be (6/9)/(2/(-1974)). Calculate the lowest common multiple of c/(-98) + 2/7 and x.
7
Suppose -4*x + 11 - 7 = 0. What is the smallest common multiple of 2 and x/(-2) + 162/36?
4
Suppose -w - 8 + 24 = 3*z, 10 = z - 2*w. What is the lowest common multiple of z and 5?
30
Let p be (31/16)/(126/(-40984)). Let x = p + 4386/7. Find the common denominator of x and 45/32.
288
Suppose -18*s + 25*s = 42. Calculate the smallest common multiple of 168 and s.
168
Suppose 0 = 25*n - 23*n - 104. What is the lowest common multiple of 99 and (-4 + n/10)/(4/10)?
99
Find the common denominator of 806/(-39) + (-3 - (-2 + 1)) and (3/9)/(6/(-10)).
9
Suppose 47 + 18 = 3*u - 5*j, 3*j + 83 = 4*u. Suppose 3*y + i - 74 = 6*i, -50 = -3*y - i. Calculate the lowest common multiple of y and u.
180
Suppose 6*i - 8*i - 4*p = -242, -613 = -5*i - 2*p. What is the lowest common multiple of 574 and i?
1722
What is the common denominator of (-4)/20*-53 - -2 and (-3)/24 - ((-263)/56 - -3)?
35
Let q = -16 + 22. Calculate the lowest common multiple of ((-32)/48)/(4/(-54)) and q.
18
Suppose 5*j - i = 8*j - 22, 3*i - 42 = -5*j. What is the lowest common multiple of 176 and j?
528
Let t = -316 - -334. Let v(a) = -a**3 - 3*a**2 + 2*a. What is the least common multiple of v(-4) and t?
72
What is the common denominator of -26/217 and (4 - (0 - -1))*(-2086)/(-7812)?
1302
Let o = -1 + 4. Suppose o*f + 4 = 5*v, -4*f = 4*v - 6 - 10. Suppose -25 - 11 = -9*g. Calculate the lowest common multiple of g and v.
4
Suppose 17*z - 9 = 76. Calculate the lowest common multiple of 15 and z.
15
Suppose -4*z = 3*k - 31 + 2, -3*z + k + 25 = 0. Suppose -7*s - 17 = -3*n - 8*s, 0 = -2*n + 4*s + 30. What is the lowest common multiple of n and z?
56
Let x be ((-1)/(-1))/((-2)/10). Let j be 0/x*(-2)/(-4). Suppose 5*m - h - 71 = 27, j = -2*h + 4. Calculate the least common multiple of 6 and m.
60
Find the common denominator of 1191/(-54) - (-16)/(-144) and 76/93.
186
Suppose -2*b = b + 54. Calculate the common denominator of (-3395)/680 - (b/51)/3 and -101/14.
56
Suppose 2*t = -4*j + 34 + 42, 5*t = -2*j + 158. Suppose o + 2*c + 33 = 4*o, c + 12 = o. What is the smallest common multiple of o and t?
90
Let y(r) = -6*r**2 - 16*r + 42. Let k be y(-15). Let f be 3/((-24)/(-8570)) - -2. Let a = f + k. Find the common denominator of -33/4 and a.
4
Suppose -7*q - 577 = -4*v - 6*q, -3*v = q - 431. What is the lowest common multiple of 108 and v?
432
Let l be 10/4*8/10. What is the smallest common multiple of 10 and 8 + (-6 - l/(-1))?
20
Calculate the common denominator of -41/12 and 3*(-12)/54 - (-187)/(-48).
48
Calculate the common denominator of -62/65 and 554/182 - (1 + 2).
455
Let y(w) = w + 2. Let i be y(-2). Let p = i + 15. Suppose -n - 4*j = 18, 5*n + 2*j - p = 3*j. Calculate the smallest common multiple of n and 12.
12
Suppose y = 4*y. Suppose -4*u + 40 + 4 = y. Suppose 10*i + 8 = u*i. Calculate the least common multiple of 2 and i.
8
Let p = -36 + 33. Let m = -6174/5 - -1246. What is the common denominator of 4/p*(-28)/(-2) and m?
15
What is the common denominator of 25 and 20/(-3)*(-30)/(-1910)?
191
Let c = -18 + 31. Suppose 4*a + j = 6*a - 8, 5*a + j = c. What is the common denominator of 36/(-16)*62/a and -19/5?
10
What is the common denominator of 2/45 and (-1157)/260 - (-3)/(-6)?
180
What is the common denominator of 29/5 and 40/100 + (-574)/810?
405
Suppose 2*z + 0*z = -3*v + 26, -v + 5*z = -20. What is the least common multiple of (-4)/v - 672/(-30) and 20?
220
Let m be (-6)/15 + 33/70. Let l = m + -11/7. Find the common denominator of 23/14 and l.
14
Calculate the common denominator of 71/40 and (4 + -5)*(-175)/960.
960
Suppose 4*y = g - 26, -3*g = g - 4*y - 80. What is the least common multiple of (-33 + g)/((-1)/(-1) - 2) and 8?
120
Let d = -384 + 386. What is the smallest common multiple of d and 22?
22
Let p be (652/6)/(14/(-147)) - 2. Let x = 25111/22 + p. Calculate the common denominator of (-61)/(-2)*(-5)/20 and x.
88
What is the common denominator of (-10)/(-8) + (-660)/(-72) + -1 and 83/222?
444
Let i = 246 + -192. What is the smallest common multiple of 108 and i?
108
Let t = 45 + -40. What is the common denominator of -137/12 and (-285)/(-10)*t/(-20)?
24
What is the smallest common multiple of 27 and 41 + 16*14/56?
135
Let q(s) = -s**2 + 115 - 7*s - 115. Let f be q(-5). Let g = 8 + f. What is the least common multiple of g and 10?
90
Let t = 109651/30 + -3656. Let y = 6729 - 134701/20. What is the common denominator of y and t?
60
What is the common denominator of 211/(-22) + (3 - -7) and ((-94)/6)/(14/(-3))?
154
Suppose 0 = -4*t + 2*c + 4, -c - 8 = -3*t - 2*t. Let v(g) = -g**2 + 29*g - 75. What is the smallest common multiple of v(26) and t?
6
Let u(h) = h**2 + 1. Let t be u(-3). Suppose 0*x - x = -t. Calculate the lowest common multiple of 2/(-4) - 117/(-18) and x.
30
Calculate the common denominator of 3 + ((-24)/4)/(22/23) and -80/189.
2079
Suppose -f = 3*f - 80. What is the lowest common multiple of f and (-6)/(-21) - 360/84 - -24?
20
Let c be 2 + -3 - (0 + 3/(-3)). Find the common denominator of c + (-5)/(825/(-95)) and -17/18.
198
Let i = 87 + -69. Calculate the least common multiple of i and 36.
36
Find the common denominator of -22*(-74)/(-80) + (-5)/(-50) and ((-2)/5)/((-14)/(-100)).
28
Suppose 5*u + 45 = -5*f, 15 = -2*f + f + 2*u. Let m = f + 38. What is the smallest common multiple of 3 and m?
27
Let p = -120 - -82. Find the common denominator of p/513*(-30)/4 and 29/10.
90
Suppose -18*l + 13*l = 125. Let f = l + 32. Calculate the least common multiple of f and 2.
14
Let l(c) = -3*c - 4*c + 2 + 6*c + 1. Calculate the least common multiple of l(-5) and 51/12 - (-2)/(-8).
8
Let w = -736/209 - -22/19. What is the common denominator of (-6)/(-27)*1 - (-998)/(-36) and w?
22
Let k be -4*(5/(-10) - 0). Suppose 11*x - 45 = k*x. What is the lowest common multiple of 1 and x?
5
Let j = -8 + 5. Let s = -1321/18 - -242/9. Find the common denominator of (-4 + j)/((-4)/(-10)) and s.
2
Let j = -2221 + 4517/2. What is the common denominator of j and -4/47?
94
Find the common denominator of 18/(-24) + 5 + (-5315)/1160 and 145/24.
696
Suppose 7*w = -5*w. Suppose w = -f + 2*f - 30. Calculate the smallest common multiple of 9 and f.
90
Let f = 700 - 9759/14. Calculate the common denominator of f and -137/140.
140
Suppose 4*g - 18 = -5*t - 67, -2*g = 4*t + 20. Calculate the common denominator of ((-4)/22)/(g/420) and 1 + 300/(-8) - -2.
22
Let g(y) = y**2 - 5*y + 4. Let z(t) = t**2 + 5*t - 1. Let k be z(-6). What is the lowest common multiple of g(k) and 18?
36
Let g be (35/(-42) + 1/(-2))*-3. Suppose 3*p = 4*d + 22, -g*p - 