Calculate the common denominator of 6/15 + (-159)/60 + 2 and -91/18.
36
Suppose -11*m + 7*m = 12. What is the smallest common multiple of 36/(-8)*4/m and 6?
6
Let x = 3096 + -30927/10. Find the common denominator of x and -27/2.
10
Let v = 3364 - 53741/16. Calculate the common denominator of v and -83/32.
32
Suppose -3 = -d - 0. Suppose 0*m + d = m. Suppose t + m*t = 0, -3*a = t - 54. What is the smallest common multiple of 4 and a?
36
Let j(v) = v - 16. Let a(f) = f**2 + 6*f - 7. Let x be a(-7). Let r be j(x). What is the common denominator of 17/22 and ((-3)/r)/((-6)/(-92))?
88
Let b = -42 + 46. Calculate the least common multiple of 9 and b.
36
Let t = -29 + 21. Calculate the common denominator of -21/2 and ((-10)/(-55))/(t/26).
22
Suppose 0 = -5*d + 4*u + 28 + 3, 0 = 3*d - 2*u - 17. What is the lowest common multiple of 8 and d?
24
Let p = -18764/3269 + 12/467. Calculate the common denominator of -9/8 and p.
56
Let x = 384/7 - 3219/56. What is the common denominator of -109/6 and x?
24
Let f = 685 - 3452/5. What is the common denominator of -101/8 and f?
40
Let r = 14 + 2. Calculate the least common multiple of 17*1 + (-7 - -8) and r.
144
Let u be 1*(6*1 + 1). Let m(t) = t**3 + 15*t**2 + 12. Let n be m(-15). Let q = n - u. Calculate the least common multiple of 1 and q.
5
Let g = -12167/6 - -2018. Find the common denominator of 103/12 and g.
12
Let u(y) = y**2 + y + 4. Let d be 4/(-12) - (-16)/3. Suppose 5*r + 5 = 0, 2*r = -d*z + 5 + 3. What is the least common multiple of u(0) and z?
4
Let o(b) be the first derivative of -b**4/4 + 2*b**3 - b**2 - 3*b - 6. Calculate the lowest common multiple of o(5) and (-2)/3 - 20/(-3).
12
Calculate the common denominator of 51/18 - (-20)/(-5) and (-58)/14 - 0 - 0.
42
Let d = -160/53 - 4181/318. What is the common denominator of d and -99/10?
30
Let t = 21363/14 + -1524. Suppose -43 = -b + 2*m - m, -3*m - 169 = -4*b. Calculate the common denominator of (-24)/b + 1018/180 and t.
126
Let y(k) = -k + 5. Let f be y(7). Let g(o) = 2*o**3 + 3*o**2 + 3*o + 1. Let d be g(f). Let l = d + 17. What is the least common multiple of 3 and l?
24
Suppose 7 = 5*z + 2*y - 9, -z - y = -2. Let r be (-1 + z)*(-8)/(-3). Let v(f) = -f**2 + 9*f - 2. Calculate the lowest common multiple of 20 and v(r).
60
Let o = 21 - 12. What is the smallest common multiple of 7 and o/(-36) - (-5)/4?
7
Calculate the lowest common multiple of ((-3)/3*-32)/2 and 10.
80
Let j = 1780 - 55164/31. Let o = 1583/124 - j. Find the common denominator of o and 215/(-25) + (-2)/(-4).
20
Let p be (6/18)/(3/117). Suppose 2*l = -4*i + i + 44, -p = -i - l. What is the smallest common multiple of 14 and i?
126
Suppose 9*j = 4*j - 5*n + 40, -4*j - 5*n + 33 = 0. Calculate the smallest common multiple of (-6)/(-2)*(j + -4) and 7.
63
What is the common denominator of 61/18 and (-1 + (-56)/(-60))*(-182)/(-4)?
90
Let z = 58119/7 - 173050/21. Let x = -263/7 + z. Find the common denominator of -15/11 and x.
33
Let l(a) be the third derivative of a**4/24 + 4*a**3/3 - a**2. Let r be l(-8). Let q = 7 - r. What is the smallest common multiple of 11 and q?
77
Suppose t = 3*b - 3*t - 484, 4*b = t + 667. Calculate the smallest common multiple of b and 4.
168
Suppose 0 = 4*l, -b + 3*l = 2*b + 918. Let o = 2110/7 + b. Let p = -48/5 + 541/10. What is the common denominator of p and o?
14
Find the common denominator of (-6)/(-4)*(-255)/36 and -107/22.
88
Calculate the common denominator of 87/22 and ((-47)/10 - -4)*(-2 - -13).
110
Suppose 0*h - 196 = 3*r + h, 0 = -r + h - 72. Let b = -39 - r. Calculate the common denominator of -1/7 and ((-14)/(-1))/(16/b).
14
Let s = 9169/10 - 923. Calculate the common denominator of -19/4 and s.
20
Let b = -1053/2 + 545. Find the common denominator of -79/14 and b.
14
Let p be (3 - 3) + -38 - 2. What is the common denominator of ((-66)/p)/((-18)/(-42)) and 103/12?
60
Let s(m) = m**3 + 9*m**2 - m - 9. Let w be s(-9). Suppose 0 = -5*g + p - 3*p + 58, w = -4*p - 4. Calculate the least common multiple of 10 and g.
60
Let c be 2/2 + 13 + 5. Let o = c - 8. Suppose -4*v - o = -5*v. Calculate the smallest common multiple of 11 and v.
11
Suppose 3*a - 5*z = 2187, 5*a = -z - 3*z + 3682. Let n = a + -17633/24. What is the common denominator of 139/6 and n?
24
Suppose 0*c = -3*c + 48. What is the common denominator of 2/((-990)/(-354) + 1 + -4) and ((-2)/c)/((-1)/71)?
24
Let r = -1318/51 + 37/17. Find the common denominator of 19/2 - -3 - (0 + -1) and r.
6
Let z = 40 - 67. Let f(u) = u + 10. Calculate the lowest common multiple of (-315)/z + (-1)/(-3) and f(0).
60
Let s = -4675175/8 - -583221. Let m = -1174 - s. Let p = 3603 + -57711/16. Find the common denominator of m and p.
16
Find the common denominator of 47/18 and 1/(18/62) - 6/(-36).
18
Let m = 34 + -20. Calculate the lowest common multiple of 22 and m.
154
Let y = 15635/714 + 270/119. What is the common denominator of 3/10 and y?
30
Let b = -9/25 + 251/100. What is the common denominator of b and -65/22?
220
Let u = 23 + -14. Suppose -3*x - 4*b + 15 = b, 25 = 5*x - 3*b. Suppose 3*h - m - 11 = -5*m, -x*h = -5*m + 5. What is the smallest common multiple of h and u?
9
Calculate the common denominator of 23/2 and -1 - (-4)/6 - 1555/330.
22
Calculate the common denominator of -143/18 and (188/48)/((-2)/3).
72
Let i = -16 + 6. Let x = 1244/17 - 10519/170. What is the common denominator of (-399)/15*i/(-12) and x?
30
Suppose 0 = -3*u + 2*g + 1808, 1987 = 3*u + 3*g + 154. Let v = 1257/2 - u. Let c = 1/5 + -97/10. What is the common denominator of v and c?
2
Let s = -1028 - -41117/40. Calculate the common denominator of 23/55 and s.
440
Suppose -d + 2*d - 135 = 0. Suppose -5*x = -3*x - 4. What is the lowest common multiple of x and d/12 + (-3)/(-4)?
12
Let a = -1539113/490 - 6287/98. Let q = a + 3195. Find the common denominator of 53/11 and q.
55
Find the common denominator of 5/16 and 2 + (564/(-88) - -1).
176
Let j be ((-1 - -4) + 2)/1. Suppose j*x + 97 = -13. Let u = -14 - x. Calculate the smallest common multiple of 5 and u.
40
Let d = -2417/6 - -381. Calculate the common denominator of 36/(-3 - (-180)/16) and d.
66
Let q = -17 - -11. Let m be 19887/3870 + q/(-15). Let c = 27/43 + m. Calculate the common denominator of 25/7 and c.
42
Suppose r = 2*r - 24. Suppose -3*o + g - r = -5*o, -2*o = -g - 20. What is the lowest common multiple of 6 and o?
66
Suppose -5 = -t - 1. Suppose t*b - 7 = 2*i + 5, -2*i + 2*b = 4. Find the common denominator of 55/7 and i/(-1) + (-100)/36.
63
Let i = -281410 - -2247899/8. Let t = i + 422. What is the common denominator of t and (-13)/18 + -4 + 2?
72
Let f = 8 - 7. Find the common denominator of (3/60*-38)/f and 0 - -2*(-50)/(-32).
40
Calculate the common denominator of 19/27 and 46/30*((-9)/3 + -1).
135
Let v(w) = w**2 - 5*w - 8. Let d be v(7). What is the common denominator of (-14)/(-27)*d/(-8) and -81/10?
90
Calculate the smallest common multiple of 622/10 + 2/(-10) and 2.
62
Let n = -12528 - -21009458/1677. Let f = 88873/6708 + n. Find the common denominator of f and 87/22.
44
Let c be (2 - 1)/((-1)/5). Find the common denominator of 35/8 and 3/c - 4/(-10).
40
Let y = -775/6 - -361/3. Let s(f) = 15*f**2 + 1. Let r be s(1). Find the common denominator of y and (54/(-4))/(12/r).
6
Let i = -4/2217 + 26363/2956. What is the common denominator of i and -107/6?
12
Suppose 5*q - 2*m = m - 284, -2*q - 3*m - 101 = 0. Calculate the common denominator of 25/(-4)*20/q and ((-20)/(-32))/(-5)*-53.
88
Find the common denominator of -10 + 9 + (-170)/24 and 13/33.
132
Suppose -1198 = -r - 24163. Let v be r/9*(-12)/(-4). Let h = -46073/6 - v. Calculate the common denominator of h and 87/2.
6
Suppose t = 5*t - 48. Suppose -h = -4*o - 14, -h + o + 53 = 2*h. Calculate the lowest common multiple of t and h.
36
Let y = 6333/595 - -6/85. Let h = y + -10. Calculate the common denominator of 38/11 and h.
77
Let k = 10381/102 + -1308/17. Let z be -1 + 3 - (-12611)/(-8). Let j = z - -1566. What is the common denominator of k and j?
24
Let l = 25/87 - 8887/348. Calculate the common denominator of 79/8 and l.
8
Suppose 6*i = i - 20. Let u = -2 - i. What is the smallest common multiple of 14 and u?
14
Let q = 0 + 3. Suppose -39 = -3*h + 4*p, q*h + 4*p + p = 12. What is the common denominator o