and c.
30
Find the common denominator of (-2)/(-12)*1551/110 and 47/18.
180
Let w be 13291283133/(-7888470) - (-6)/4. Let u = w + 1/262949. Let a = u + 1677. Calculate the common denominator of 32/11 and a.
55
Let o(w) = w**2 + 6*w + 2. Suppose 41 = 3*n + 4*y, 3*y + 4 = 4*n - 9. What is the lowest common multiple of n and o(-7)?
63
Let v(r) = 3*r**2 + r - 1. Suppose -2*f + 7*f - 10 = 0. Let n be f/2 - 3 - 0. Calculate the lowest common multiple of v(n) and 9.
9
What is the common denominator of ((-2)/(-45))/(6/780) and 125/12?
36
Suppose 0 = 5*h + 5 - 35. Calculate the lowest common multiple of 15 and h.
30
Suppose -5*r = 2*p - 8 - 1, p - r + 6 = 0. Let a(f) = -f**3 - 8*f**2 - 8*f + 9. Calculate the smallest common multiple of a(-7) and 17 + 0/(-3) + p.
112
Let n = -5 + 9. Find the common denominator of (n - 5) + 34/8 and 1/4 + 71/6.
12
Calculate the common denominator of (-3)/27 - (-4745)/1800 and -95/4.
40
Suppose 2 - 10 = -2*w. Let i(k) = 2*k - 4. Let t(a) = -3*a + 4. Let p(b) = -4*i(b) - 3*t(b). What is the least common multiple of p(7) and w?
44
Suppose -20 = -5*z + z. Let r be (2 - -2) + -2*1. Suppose 0*l - 3*b - 5 = r*l, -4*b = 20. Calculate the smallest common multiple of l and z.
5
Let s = 27 + -20. Calculate the least common multiple of 3 and s.
21
Suppose 2*c + 2*b - 11 = -3*b, 4*c = 4*b + 8. Calculate the smallest common multiple of c and 9.
9
Let m = 2857 + -88552/31. Let z = -1064/341 + m. Find the common denominator of 25/6 and z.
66
Let f = -116561/20 + 5823. Find the common denominator of 21/10 and f.
20
Let x(h) = -h**2. Let g be x(0). Suppose -5*t + 0*t + 90 = g. Calculate the smallest common multiple of 4 and t.
36
Suppose 3*h - 42 = -3*q + 6, 0 = -4*q + 16. Let w = h + -8. What is the lowest common multiple of 14/3*3/2 and w?
28
Let k = 76091/4422 + -30/737. Find the common denominator of (-254)/36 + (-6)/(-9) and k.
18
Suppose 3*o - y + 9 = 48, y = 5*o - 65. Suppose 3*i - 5 - o = 0. Calculate the least common multiple of 1 and i.
6
Let j be (2 + -3)/((-2)/4). Suppose -21942 = -j*c + 7*c + i, -4*c - 17560 = 4*i. Let h = c + 52691/12. Find the common denominator of h and -151/18.
36
Let o = -109 - -127. Calculate the lowest common multiple of o and 22.
198
Let z(t) = t**2 + 2*t + 7. What is the least common multiple of z(-3) and 9?
90
Let t(f) = f. Let k be t(-1). Find the common denominator of (-7)/(-5) + (-1)/k and -27/11.
55
Let x = 8263/3048 + 42/127. Find the common denominator of x and -131/30.
120
Let o be ((-5)/(-3) - 1)*12. Calculate the common denominator of (50/28)/((-4)/16) and (-2)/o - 161/44.
77
Suppose -d = -h + 19, h + 82 = 5*h + 2*d. Calculate the lowest common multiple of 12 and h.
60
Suppose -3 = -i + 5*g, -2*g = i + 5 - 1. Suppose 4*h - q = 73, -4*h - 5*q = -h - 49. Let w = h + i. What is the lowest common multiple of 22 and w?
176
Suppose 0*s - 2*r = 3*s - 5, 14 = 4*s - r. What is the least common multiple of 8 and s?
24
Suppose -1992 = -4*w + 8*w. Let v be (-6)/(-4)*(-5950)/18. Let o = v - w. Find the common denominator of -85/4 and o.
12
Find the common denominator of -4 - (4521/36)/(-11) and 101/2.
12
Let r = -52 - -63. Suppose 2*i + 11 = 5*y, 14 = 2*i + 2*i + 2*y. Calculate the lowest common multiple of r and 0/i + -1 - -4.
33
Find the common denominator of -125/6 and (78/(-15))/((-84)/75).
42
Let g = -3/59 + 2139/295. Calculate the common denominator of g and 0 + 3 + (-8)/11.
55
Let g = -7 - -5. Suppose 5*o - 3 = 67. Calculate the lowest common multiple of -2*(g + 1) - -12 and o.
14
Let i(x) = 2*x**2 - 12*x - 20. Let q(w) = w**2 - 4*w - 7. Let v(p) = -5*i(p) + 14*q(p). What is the smallest common multiple of v(-2) and 12?
60
Let z(o) = -410*o - 3. Let d be z(5). Let t = 24655/12 + d. Let p = 328093/20 - 16400. What is the common denominator of p and t?
60
Let i = 59488 + -3807307/64. What is the common denominator of 71/28 and i?
448
Suppose -y + 697 + 366 = 0. Suppose 3*z + 4*b = -799, 5*z + 3*b + y = z. What is the lowest common multiple of 6/8 - z/20 and 10?
70
Suppose 0*w + 2*w = -k + 65, 4*k - 167 = -5*w. Calculate the common denominator of 34/9 and w.
9
What is the least common multiple of (-10)/75*-6*120/1 and 18?
288
Let t = -430/9 + 3575/72. Let v = 14/45 + -1603/90. Find the common denominator of t and v.
8
Let p be 18*(1 + 32/12). Let v = p - 40. Calculate the least common multiple of 18 and v.
234
Let m be 2107 - 4/4*-2. What is the common denominator of -89/14 and m/(-234) - (-2)/(-13)?
42
Suppose -m + 26 = 23. What is the smallest common multiple of 3 and m?
3
Let f = -459 + 4631/10. Find the common denominator of f and -46/3.
30
Suppose -w - 5*b - 161 = -10*b, 3*w = 2*b - 496. Let a = -96307/14 + 6875. Calculate the common denominator of a and ((-19)/(-20) - 1)*w.
70
Calculate the least common multiple of 18 and 2*201/12 + (-6)/4.
288
Let y be (7 + -12)*28/5. Let t = y - -33. Calculate the lowest common multiple of t and 4/14 - (-52)/14.
20
Let j = -194520760785359/3465 - -56138748430. Let u = -137/693 + j. Let i = u - 50683/70. Calculate the common denominator of i and 73/20.
140
Let z = -4 - -6. Let y = -2 + 8. Calculate the smallest common multiple of y and z.
6
Suppose 4*p - 2*p = 0. Suppose 2*z + 0*z = -4. Calculate the common denominator of -13/9 and 1*(z + -24) + p.
9
Let a = 5427 - 86793/16. What is the common denominator of 97/62 and a?
496
Let t be 7/((-35)/(-96))*-5. What is the smallest common multiple of (26/4 + -1)*4 and (2/4)/((-4)/t)?
132
Suppose -2*i + 0 = 2*c - 2, 4*i - 28 = 2*c. Suppose -i*v + 2*v + 27 = 0. What is the smallest common multiple of 10 and v?
90
Let g = 26458 - 187212/7. Let h = g - -18278/63. Let d = -1189 + 2333/2. Find the common denominator of d and h.
18
Let t(c) = -c**3 + 4*c**2. Let f be t(4). Let u = 3 + f. Suppose 0*p - 3*p - 3 = 2*q, -3*q + u = 3*p. What is the lowest common multiple of q and 8?
24
Suppose -3*o + 46 - 19 = 0. Calculate the least common multiple of 16 and o.
144
Let n = 12 - 3. What is the smallest common multiple of n and 9?
9
Let b(s) = s**2 + 4*s - 5. Let y be b(-4). Let g be 5/y - (4 - 1). What is the common denominator of -41/12 and 2/g + (-10)/(-32)?
48
Let v = 4 - 2. Suppose 4*c + 3*n - 34 = 0, v*n = c - 5 + 2. Calculate the smallest common multiple of c and 6.
42
Let p(q) = q**2 + 10*q + 20. What is the least common multiple of p(-8) and 1?
4
Suppose 0 = 4*w - 603 - 1929. Let k = w + -1305/2. Calculate the common denominator of k and 5/8.
8
Let p = -35 + 86. Calculate the common denominator of (-18)/30*37/2 and 3/(-6) - p/(-5).
10
Let j = -187/120 + 11/24. What is the common denominator of (-209)/18 + 2 + 3 + -1 and j?
90
Suppose 5*y - 24 = 2*y. Suppose -6*p = -12*p + 120. What is the least common multiple of y and p?
40
Let t = 18 + 54. What is the smallest common multiple of 7 and t?
504
Calculate the lowest common multiple of 24 and (-4)/30 - (-184)/30.
24
Calculate the smallest common multiple of 1 + 2 + 12 + -1 and 22.
154
Suppose 2*n - 10 = -0*n - 2*s, 2*n - 4*s = 10. Calculate the smallest common multiple of 8 and n.
40
What is the common denominator of 6/10 + (-1098)/380 and -23/22?
418
Suppose -4*y + 3*f = -33, -2*y = 3*y + 4*f - 18. What is the least common multiple of 2 and y?
6
Let v = 155691/22 - 7080. Let z = -22903455/92 + 248954. Let y = 15/23 - z. What is the common denominator of y and v?
44
Let i be 7/(2 - (-9)/(-6)). Let c = -5161 + 31087/6. What is the common denominator of c and (10/(-12))/(1/i)?
6
What is the common denominator of 57/22 and (174/6)/(1 - -7)?
88
Suppose 0 = -3*p - 6 + 30. Suppose -c + 3*x = x - 17, 30 = 3*c + x. Calculate the smallest common multiple of p and c.
88
Let b = -4 + 12. Let j(h) = -h**3 - 13*h**2 + 14*h + 10. What is the lowest common multiple of b and j(-14)?
40
Suppose -34 = -2*p + 2*x, -5*p - 5*x + 55 = -0*x. Let m(k) = -k**3 + k + 2. Let y be m(0). Suppose 4*c - 8 = y*c. What is the least common multiple of c and p?
28
Suppose 3*o + 14 = 2*x, -2*o - o - 8 = 4*x. Let n = 3 - x. What is the smallest common multiple of 2 and n?
2
What is the common denominator of -31/98 and ((-426)/(-144))/((6/8)/(-1))?
882
Let a(s) = 15*s - 16*s + 2 + 6. Let q be a(7). What is the least common multiple of 5 + 0/q + 1 and 18?
18
Let k be (4 + -7)/(2/2). Let w(f) = 6*f**2 + f + 3