 Suppose -5*u + u - 3*y + 55 = 0, u - y = 5. Calculate the lowest common multiple of u and j/(-14) + (-44)/(-7).
30
Let w be (43/28 + -1)*138 - 3. Let y = w + -71. Calculate the common denominator of 358/(-84) - 2/3 and y.
14
Let q = -2253 - -15726/7. What is the common denominator of q and ((-25)/(-2))/(-5 - -8)?
42
Let b = 1828/11 - 169187/99. Let k = -1550 - b. What is the common denominator of 1*(-194)/4 + 0 and k?
18
Suppose -g = 3*u - 17 - 10, -g + 27 = 5*u. Suppose -2*x = -1 - g. Calculate the least common multiple of x and 3*(-2)/(-3)*1.
14
Let w(t) = -t**2 + 14*t + 7. Let u be w(11). Suppose 4*k = 5*j - u, 2*k = -j + 6*k + 8. Calculate the lowest common multiple of 1 and j.
8
Calculate the least common multiple of (-843)/(-7) + 123/(-287) and 14.
840
Find the common denominator of -91/250 and -5 + 91/(-35) - 1/5.
250
Let h(i) = -i**2 - 8*i - 12. Let q be h(-5). Suppose -7*p = -q*p + d - 51, 5*p + 5*d = 75. Calculate the smallest common multiple of 2 and p.
12
Suppose -5*m - 109 - 91 = 0. Let w be 3 + m/(-4) + 2. Calculate the common denominator of (-167)/12 + (-5)/w and -49/16.
16
Let m = -111649/1848 + 1279/21. Calculate the common denominator of -31/55 and m.
440
Let k(s) = -s**3 - 4*s**2 - 2*s - 1. Let z = -6 - -3. Let p be k(z). Find the common denominator of 71/9 and (p/(-10))/((-60)/(-50)).
9
Suppose 0 = -0*o - 4*o + 14540. Let k be (43529/12 - -2) + (-10)/(-5). Let w = o - k. Find the common denominator of w and 125/6.
12
Let r be (-2 - (-16)/6)*-3. Let y(z) = -35*z + 17*z + 19*z + 4. Calculate the least common multiple of 21 and y(r).
42
Let f = 9 + 9. Let j be (-3)/(0 + 6/(-4)). Suppose 0 = s + j*s - f. Calculate the least common multiple of 20 and s.
60
Let j = 27 + -15. Suppose 3*g - 42 = -3*c, 187*g + 3*c = 189*g - 3. What is the least common multiple of j and g?
36
Let t = 19555187335/6836814 - 10/379823. Let x = -2858 + t. Let b = -12373 + 198047/16. What is the common denominator of x and b?
144
Let y = -4 + 8. Suppose -5*j = -d + 21062, 2*d + 16436 = -y*j - 422. Calculate the common denominator of -63/16 and j/1254 + (-8)/(-6).
304
Let c = -16014171 - -432286645/27. Let k = -3552 - c. What is the common denominator of 47/9 and k?
27
Let x = -43423837/615 - -70608. Calculate the common denominator of -131/30 and x.
1230
Let z be (-76)/(-10) + 18/(-30). Let l = z + 1. Suppose 1 + l = 3*f. Calculate the least common multiple of f and 9.
9
Let j be -2 + (-6)/15*-5. Let v be j - (-1)/((-5)/(-20)). Suppose v*x - 27 + 3 = 0. What is the lowest common multiple of 14 and x?
42
Suppose 2*o + 48 = 52. What is the smallest common multiple of (-28)/7 + 5*o and 6?
6
What is the smallest common multiple of 56 and (-83 + 55)/(2/(-4))?
56
Let n = -1/831 - 52348/4155. Find the common denominator of n and 19/122.
610
Let c(u) = 3*u**2 - 11*u - 5. Let k(r) = -r**2 + 4*r + 2. Let g(d) = 6*c(d) + 17*k(d). What is the least common multiple of g(-2) and 4?
4
Let o = 12/259 + 6367/2331. Suppose -3*u + 29 = -10. Find the common denominator of o and u + -13 - 19/(-3).
9
Let y(o) = -o**2 + 6*o + 1. Let l be y(7). Let g = l + -6. Let s = -11 - g. What is the least common multiple of 7 and s?
7
Let l(q) = -q - 3. Suppose -5*u - 2*t + 5 - 32 = 0, 3*u + t = -16. Let p be l(u). What is the least common multiple of 4*-2*p/(-8) and 14?
14
Suppose -19 = -3*f - 1. Suppose -45*n + 44*n + 2*a = -3, 5*a - 5 = 0. What is the lowest common multiple of n and f?
30
Suppose 0 = -5*x - 2*y + 96, -5*y - 17 - 73 = -4*x. What is the least common multiple of x and 18?
180
Let j be (-1 - 0)*1*(12 - 8). Let u(r) = -3*r + 5. Calculate the common denominator of u(5) and 2/1 - j/(120/(-27)).
10
Let q = -3383 + 13449/4. Find the common denominator of q and -15/46.
92
What is the common denominator of (22/(-24) + 1)/((-240)/1395) and -107/28?
448
Let n = -39889/6466175 + -2/13613. Let d = 136752617319/950 + -143950155. Let p = d - n. What is the common denominator of p and 38/5?
10
Let x = 132800 + -7703255/58. Let h = 33991/2175 + x. Calculate the common denominator of 101/2 and h.
150
Let z = 1/983 - -981/1966. What is the common denominator of -41/191 and z?
382
Suppose 4*f - 1159 + 1011 = -3*p, 4*f - 16 = 0. Calculate the least common multiple of p and 1/(-2*(-2)/80).
220
Suppose 4 = -5*x - 311. Let t = x - -66. Calculate the least common multiple of t and 21.
21
Let q = 9/1067 - 129755/76824. What is the common denominator of q and -97/24?
72
Let z = -25 - -43. Let u(a) = 7*a**2 - a + 7. Calculate the lowest common multiple of z and u(2).
198
Let i = 19538/11 - 1773. Let y = i + -919/33. Find the common denominator of y and 8/11.
33
Let f = -2992462 + 83769213/28. Let y = f + 703. What is the common denominator of -81/40 and y?
280
Find the common denominator of (0 - 22/24)*-22 and (-1)/(-6) + 1 + 6.
6
Calculate the lowest common multiple of (-75 - -92)*1*7 and 63.
1071
Let m be (-140)/15 + 6/(-9). Let a = 1075 + -8587/8. Find the common denominator of (-4 + m)/((-16)/(-13)) and a.
8
Let h = 1162/55 - 286/15. Find the common denominator of 47/24 and h.
264
Let r(q) = -q**2 + 21*q - 23. Calculate the lowest common multiple of 165 and r(7).
825
Let f be (18/15)/(-2) + 414/15. Let c = f - 25. Calculate the smallest common multiple of c and 1.
2
Suppose 5*o + 9 = 29. Calculate the least common multiple of o and 21 + (-4 - -3) - 36/(-16 + 7).
24
Let w be -3 + (11 - (4 - 4)). Let r = -13580 - -380283/28. What is the common denominator of w/(-20) + 19/(-2) and r?
140
Let l be (-49)/(1 - (-4)/(-8)). Find the common denominator of 0 - (-1 + 62/4) and l/(-16) + -12 + 10.
8
Let n(s) = 2*s - 6. Let b(f) = -4*f - 3. Let w be b(-2). Let y be n(w). What is the smallest common multiple of (y/10)/(8/400) and 4?
20
Let o(u) be the first derivative of -u**2/2 + 15*u - 20. Suppose -2*c - 4*r = 3*c - 49, -9 = -c - r. Calculate the lowest common multiple of o(c) and 4.
4
Let b = 2 + -1. Let f(h) = -2*h**3 - 17*h**2 - 24*h - 10. What is the smallest common multiple of b and f(-7)?
11
Let h = 2/2993 - -170581/29930. What is the common denominator of h and -87/28?
140
Calculate the common denominator of 59/66 and (-45)/90*(174/64 + 0).
2112
Let u = 9 + -6. Suppose 0 = 2*i, u*y + y + 3*i - 72 = 0. What is the lowest common multiple of y and 2 + (-581)/(-56) + 15/(-40)?
36
Let s = 9 - 10. Let t be 1117/6 + s/6. Calculate the common denominator of 51/10 and 28/35 + t/80.
40
Let k = -61513/8344 + 59/8. Let h = -94907/2086 - k. Find the common denominator of h and -23/12.
12
Let k be (-40)/(-4)*(4 + -3). Suppose -24*o = -23*o - k. Calculate the least common multiple of o and 20.
20
Suppose 7*p + 22 = 484. Calculate the least common multiple of p and 42.
462
Calculate the lowest common multiple of -1*1/(-2)*24 and (-3)/(-12) - (-30)/8.
12
Let q = 9 + -647/72. Let z = 54/77 - -5667/154. Calculate the common denominator of z and q.
72
Let o be 36/9*(0 + -1) + -3865. Let j = 104410/27 + o. What is the common denominator of -8/3 and j?
27
Let f = 9453 - 453763/48. Find the common denominator of f and 145/24.
48
Let d be (-14)/(-21) - (-35)/(-3). Calculate the common denominator of -20/9 and 0 - 28/d - (-1 - -1).
99
Calculate the lowest common multiple of 40 and (-2 + -2)/((-5)/(250/4)).
200
Let c = 8/79 + -1391/474. Find the common denominator of c and ((-2)/16)/(3/(-60)*-2).
12
What is the common denominator of (-55)/(-594)*-57 - -3 and 64/75?
450
Let g = -2978663/12 + 248409. Let c = g + -517/3. What is the common denominator of 35/11 and c?
44
Suppose v + 16 = -v. Let j = 31 + -15. What is the lowest common multiple of ((-18)/8*-2)/((-6)/v) and j?
48
Suppose 14*d = 38 - 10. Calculate the smallest common multiple of 124 and d.
124
Suppose 0 = -2*d + 14*d - 252780. Let x = d - 421213/20. Calculate the common denominator of -21/38 and x.
380
What is the least common multiple of 24 and (-2 - -1)/((-2)/24)?
24
Suppose -5*f + 4*x = -3, -1 - 5 = -4*f + 2*x. Suppose f*h = 2*i + 77, 2*h + 3*i - 55 = 5. What is the lowest common multiple of h and 3?
27
Let i(g) = -7*g - 4. Let l be i(-10). Calculate the common denominator of 41/5 and (-114)/l*2/6.
165
Let l = -1675/3 - -1081/2. Find the common denominator of -77/8 and l.
24
Let o(f) = -2*f**2 + f - 1. Let g(t) = 5*t**2 - t + 1. Let b(y) = 3*g(y) + 5*o(y). 