.
4
Suppose 3*a + 2*a - 100 = 0. Calculate the smallest common multiple of 18 and a.
180
Suppose -6*r + b + 48 = -r, r = -2*b + 14. Find the common denominator of 35/4 and (4/16)/(r/198).
20
Suppose w = -2 - 4. Let b(d) = -d**2 + 6*d + 2. What is the smallest common multiple of b(6) and (1 + 3)*(-33)/w?
22
Let x = 1469/10 - 147. Let r = -6/95 + 3557/665. What is the common denominator of r and x?
70
Let r(f) = -7 - f**3 - 7*f - 1 - 2 - 6*f**2 + 3. Let b be r(-5). Suppose -27 = -0*k - b*k. Calculate the smallest common multiple of k and 10.
90
Suppose 1 = -2*c - 51. Find the common denominator of c and -46.
1
Let y = -4181/28 + 921/7. Let w = -62 + 29. Calculate the common denominator of w and y.
4
Suppose -2*r + b + 0 - 5 = 0, r = -4*b + 11. What is the common denominator of 81/10 and ((-82)/(-4) - 0)/r?
10
Suppose -j - 8 = -3. Find the common denominator of -9/5 and ((-291)/6)/(j/5).
10
Let g = 4037 - 64543/16. Suppose -5*b = -m + 189, -122 = 3*b + 2*m - 6. Find the common denominator of g and b/(-6)*(-14)/(-12).
144
Let k(t) = -4*t**2 + 3*t + 4. Let h be k(6). Calculate the common denominator of -79/20 and (h/(-6))/(56/(-12)).
140
Let u = -8303 + 66519/8. What is the common denominator of 17/9 and u?
72
Let t be (0 + -4)/((-68)/50). Let s be (53/102)/((-12)/168). Let c = s + t. Calculate the common denominator of c and -21/11.
33
Let b = -1/2335992968 - -125378582577989/7029002840712. Let p = -4/1003 + b. Calculate the common denominator of 19/8 and p.
24
Suppose -4*g + 30 = -3*g. What is the smallest common multiple of g and 30?
30
Let f be -353 + (1 - (-1 + -1)). Calculate the least common multiple of 10 and 4/(-6) - f/21.
80
What is the common denominator of 101/168 and (-2)/8 + ((-92)/12 - 1)?
168
Let o = -13468 - -269433/20. Find the common denominator of 55/6 and o.
60
Suppose -3*b - 4 + 10 = 0. Suppose 9 = l + b*l. Find the common denominator of 2/l*(-30)/(-36) and 33/4.
36
Let s = 132107/8388 - -1/2097. Let u = 9863/3 - 3259. Let p = u - 77/2. Find the common denominator of s and p.
12
Let x(i) = 3*i**2 - 9*i - 4. Let m be x(8). Let h = m - 166. Let d = 36876/3125 - 1/3125. Calculate the common denominator of d and h.
5
Suppose 0 = 4*n - 2*n - 40. Let y(m) = 13*m**3 + m. Calculate the lowest common multiple of n and y(1).
140
Let i = 24 - 6. Calculate the lowest common multiple of 6 and i.
18
Let q be 2/(-5) - (-84)/10. Let p = q + -6. What is the least common multiple of 2*-2*(-2)/p and 20?
20
Suppose 0 = -4*k - 0*k + 60. Let p = k + -7. Let n = 1 - 0. Calculate the least common multiple of n and p.
8
Let a(d) = -2*d**3 + d. Let j be a(-2). Suppose -x - j = -3*x. Calculate the common denominator of 58/7 and 0 - x/(-4)*18.
14
Let r(i) = -5*i - 10. Let n be -6*(-2 + (-10)/(-3)). Let v be r(n). What is the least common multiple of 3 and (36/v)/((-4)/(-10))?
3
Let h(x) = -3*x + 1. Let g be h(1). Suppose 2*t - 3 = 3*t - 2*u, -16 = 2*t + u. Let l = g - t. Calculate the lowest common multiple of l and 5.
5
Let b = 22 - 10. Suppose k + 0*k = 2*z + 2, -4*z = k + 4. Suppose -104 = -5*r - 4*j, -5*j + 2*j + 3 = k. Calculate the smallest common multiple of r and b.
60
Calculate the common denominator of 303/18 + (-2)/3 and 1 + -2 + 111/36 + 1.
12
Let y = 2677/9 - 297. Suppose 0 = -3*u - 4*k - k + 650, -3*u = k - 634. What is the common denominator of y and 445/u - (-4)/(-14)?
18
Let u be -1754*(-2)/(-40) - -1. Let a = -87 - u. What is the common denominator of a and -47/5?
10
Suppose 8 = -19*v + 23*v. What is the common denominator of 13/20 and ((-16)/(-320))/(v/122)?
20
Let s = -9 - -20. Let g be 309/(-21) - (-2)/(-7). Let a = 22 + g. Calculate the lowest common multiple of a and s.
77
Let q be (-46)/3*(-12)/8. Let a = q - 16. Suppose -4*n = 3*o - 43 + 10, 3*o = 2*n + 33. What is the lowest common multiple of a and o?
77
Let r be -3 - (2 - (-2 + 55)). Suppose 7*v - r = 3*v. What is the least common multiple of v and 12?
12
Suppose -4*f + 0*d = 2*d - 80, -3*d = -3*f + 78. What is the least common multiple of f and 12?
132
Calculate the common denominator of -95/6 and 252/(-80) + -1 + (-2)/(-1).
60
Let u = -3 + 0. Let t be (-37)/(-3) + 1/u. Suppose t = 5*g - 3*g. What is the lowest common multiple of 4 and g?
12
Let x(w) = 4*w - 4. Calculate the least common multiple of 36/9 - (-9 - -1) and x(3).
24
What is the common denominator of (-4)/18 - (-796)/72 and 3/26?
78
Calculate the smallest common multiple of 16 and 1 + 1 - 4 - -5.
48
Find the common denominator of 4 - (-375)/36*-1 and 9/40.
120
Suppose -8*j + 9*j = 7. Calculate the lowest common multiple of j and 10.
70
Let z = 1/92 - -103/1104. Calculate the common denominator of z and -83/18.
144
Let k(n) = 105*n. Let m be k(1). Let y = 171961/16 + -10751. Find the common denominator of y and m/2*(-8)/88.
176
Suppose 6*h = h - 20. Let w be (-4)/(-6)*(-93)/1. Calculate the common denominator of 57/10 and h/(-12) + w/60.
10
Suppose -4*s + 3*s = -5*l + 172, 3*s = -5*l + 164. Let y = l - 49. What is the common denominator of 3/(198/y) + 2 and -133/12?
132
Let d(c) = -c**2 - 4*c - 3. Let x be d(-5). Let n = -5114/3 - -1690. Find the common denominator of n and (-6)/x*(-282)/(-36).
24
Suppose -2*g + 87 = 3*p + 2*p, 2*g = -p + 11. Calculate the smallest common multiple of 2 and p.
38
Let w be (5637/(-189) - 0)*-12. Let b = w - 2888/7. Let z = b + 69/2. Calculate the common denominator of -29/22 and z.
66
Suppose m + 17 - 24 = 0. What is the least common multiple of 8 and m?
56
Let f(m) = -m**3 - 5*m**2 - m + 3. Let l(q) = -7*q. Calculate the smallest common multiple of f(-5) and l(-1).
56
Let y(c) = c**2 - 7*c + 7. Calculate the smallest common multiple of y(6) and 6.
6
Let f = 3581/140 - 99/35. What is the common denominator of f and -44/9?
36
Suppose 2*f + 3*f - 31 = -p, 3*f - 25 = p. Let w = -1 + 2. Suppose x = w + 6. What is the lowest common multiple of f and x?
7
Let b = 12 + -7. Let c = 5 + 8. What is the smallest common multiple of c - b - (0 - -2) and 4?
12
What is the common denominator of 2/24 - (-17 + 13) and -27/14?
84
Calculate the common denominator of 87/4 and ((-1 + -4)/200)/(1/99).
40
Let o be (328/12)/((-2)/9). Calculate the common denominator of 1*(-3 - o/30) and -119/18.
90
Let c be 2*((-14879)/7438 - -2). Let i = -807179825/468 + 3001908397837/1740492. Let h = c + i. What is the common denominator of h and -71/22?
286
Let h(s) = -s**3 + s + 1. Let a(z) = z**3 + 6*z**2 - 7*z - 6. Let c(l) = a(l) + 2*h(l). What is the lowest common multiple of 5 and c(4)?
40
Let f(u) = -2*u**2 - 8*u - 5. What is the least common multiple of 10 and f(-3)?
10
Find the common denominator of 123/10 and 2/(-9) + (-258)/297.
110
Let a(x) = 2*x**2 - 2. Let i(z) = z**3 - 7*z**2 + z - 3. What is the lowest common multiple of i(7) and a(2)?
12
Let p(k) = -51*k**2 - 8*k. Let u be p(-6). Let z = u - -12473/7. Find the common denominator of 31/8 and z.
56
Let p = -7 + 22. Suppose 7 = u - p. Calculate the smallest common multiple of u and 2.
22
Suppose -52 - 28 = -5*g. Let y = 2 - -27. Suppose 1 = -2*r + y. What is the smallest common multiple of r and g?
112
Find the common denominator of -53/11 and -11 + 15 - (-58)/(-30).
165
Let g(m) = 3*m. Let f be g(-3). Let u = f + 14. What is the least common multiple of 4 and u?
20
Suppose -4 = -r, -k + 5*k = -2*r + 76. Suppose 5*l + 2*b = 82, 3*l - 66 + k = -b. Suppose 5*m + 0*m = 80. What is the least common multiple of m and l?
16
Let v(l) = -19*l**3 + 4*l**2 + 2*l - 1. What is the lowest common multiple of v(-1) and 16?
80
Let r = -18371/4 + 4568. Suppose 3*n + 9 = 12. What is the common denominator of n - (2 + (-51)/7) and r?
28
Suppose 0 = 2*g - 7 - 1. Let b = 11 - 7. Calculate the least common multiple of g and b.
4
Let z = 5048 - 85842/17. Find the common denominator of (-1)/(1/63*-8) and z.
136
Suppose 5*o = 2*x + 4, -3*o - 3*x = -o - 13. What is the common denominator of o/3*(-477)/(-60) and -33?
10
Suppose 5*h - o + 5*o = -5, -5*o + 25 = 0. What is the least common multiple of 7 and 3/h + (-38)/(-5)?
7
Let a be 266/6 + (-2)/6. Let n = a - 26. What is the smallest common multiple of n and 16?
144
Let q = 4084862257/3940 + -5183919/5. Let v = q + -4/197. What is the common denominator of ((-8)/192)/(1344/(-675) + 2) and v?
16
What is the least common multiple