*v - j = 5*i. Suppose q - v = -4*q. What is the lowest common multiple of q and 18?
18
Let r = -37843/18 + 2110. Calculate the common denominator of r and 31/21.
126
Let m = 7 - 5. Suppose -m*s + s = 1. Find the common denominator of -133/12 and (s/(-5))/(6/535).
12
Let w = 4 - -7. Suppose 3*z - 12 = 0, -8*z + 4*z - 29 = -5*b. What is the smallest common multiple of b and w?
99
Let k = -185/44 + 17/4. Find the common denominator of -57/8 and k.
88
Let l(n) = -4*n**3 + 15*n**2 + 7. Let z(x) = 3*x**3 - 14*x**2 - 6. Let o(s) = -2*l(s) - 3*z(s). What is the smallest common multiple of 22 and o(12)?
44
Let r(t) = 11*t + 2 - 3*t**3 + 0 - 7*t**2 + 2*t**3. Let y be r(-8). Let i = -16 + y. What is the common denominator of i and -13/3?
3
Let v = 2781 + -25067/9. Suppose -8*l + 3*l + 2*p - 6 = 0, l + 10 = -4*p. What is the common denominator of v and 2/l + 102/(-9)?
9
Let h = 10223492/429 + -23831. Let t = -40783/1716 - h. Find the common denominator of (-4)/(-2)*(-82)/32 and t.
8
Suppose b - 18 + 0 = 0. What is the lowest common multiple of 44 and b?
396
Suppose 4*c + 5*l - 275 = -c, 3*l = -c + 59. Let m = c - 197/4. Calculate the common denominator of m and -30.
4
Let h be (3/(-6))/(1/(-6)). Suppose -h*r + 2 = -7. Calculate the least common multiple of 9 and r.
9
Find the common denominator of (-4*(-3)/54)/((-44)/474) and 71/3.
33
Find the common denominator of (6/(-20))/(3/(-71)) and 0 - (30/72)/(4/78).
40
Let t = -106 - -108. What is the least common multiple of t and 3?
6
Calculate the common denominator of (-1)/(-2) - (-178)/(-8) and (5 + -2)*1/6*-51.
4
Calculate the common denominator of 33/16 and 442/120 + 26/65.
48
Calculate the common denominator of 90*(-2 - 14/(-8)) and 16/7.
14
Suppose -28 = -2*j + 5*q - q, -5*j = -4*q - 94. Suppose -j - 32 = -3*o. Calculate the lowest common multiple of 22 and o.
198
Let a = 14864/2875565 + -1/4753. Let q = -44171/1210 + a. What is the common denominator of -97/10 and q?
10
Let l be (-3)/(-2) + 107/2. Let p be (l/(-14))/((-5)/(-3860)). Let x = p - -3025. What is the common denominator of x and 44/7?
7
Suppose 3 = -5*v - 7. Let d = 11 + v. What is the smallest common multiple of d and 15?
45
Suppose 4*q = -5*w + 57, 2*w - 4*q + 2 - 8 = 0. What is the smallest common multiple of 3 and w?
9
Let a = -31 - -12. Let m = a - -27. What is the lowest common multiple of m and (-15)/(-3)*3/5?
24
Suppose 0*t = -2*t + 40. Suppose -14 = 2*g - 0*u - 2*u, -3*g - t = -2*u. What is the common denominator of -5/4 and (g*149/(-4))/(-18)?
12
Let p = 339463/67 + -5067. Let w = 5903/536 + p. Find the common denominator of w and 61/3.
24
Let z(w) = -w**3 - w**2 - 2*w - 2. What is the lowest common multiple of z(-2) and 4?
12
Let a = -20 + 63/2. What is the common denominator of a and 12/13?
26
Suppose 0 = 3*k - 0*k - 9. Suppose k*s = 4*s. What is the common denominator of 63/20 and (0 - s) + (-150)/(-8)?
20
Suppose 0*d - 3*d = -18. Calculate the common denominator of (30/(-4))/5 + 34/36 and d/(-21) + (-359)/(-56).
72
Suppose -2*k = -36 + 4. Suppose i = 2*o - k, -3*i = 4*o - o - 6. What is the smallest common multiple of 12*49/140 - 1/5 and o?
12
What is the common denominator of -51/4 and 2*(1 + (-17)/(-2))?
4
Let w be 3912/10*(-135)/18. Let f be 3 + (w/(-21))/(-2). Let r = 1922/21 + f. Find the common denominator of r and 13/8.
24
Let c(x) = 2*x**2 - 18*x - 14. What is the lowest common multiple of 18 and c(11)?
90
Let h be 6/39 + 48/26. Let i = 9 + -6. Let n = i + h. What is the smallest common multiple of 5 and n?
5
Suppose 0 = -p - 2, x + p - 22 = 5*x. What is the common denominator of 31/10 and (-302)/(-6)*(-1)/x?
90
Let p be (-1034710)/74576 + (6 - 4). Let w = -2/4661 + p. What is the common denominator of w and 93/22?
88
Let j = -108469/16 + 6785. What is the common denominator of 5/2 and j?
16
Suppose 0*w + w - 25 = 5*t, -4*w = 4*t - 52. Suppose -x = -3*n + w, 5*n = 2*n - 5*x + 15. What is the lowest common multiple of n and 16/2 + 2 + -3?
35
Let m = -24 + 34. Let s be 4/(-14) + 210/49. Suppose 2*r - 16 = s. Calculate the lowest common multiple of r and m.
10
Suppose -m + 0 - 3 = 0, 2*o + 5*m = -21. Let g be o/4 - (-22)/8. Suppose -g*h + 40 = -0*h. What is the least common multiple of 10 and h?
20
Let u(d) = -d**2 - 2*d + 2. Let w be u(1). Let x(s) = -8*s**3 - s**2 - 2*s - 1. Calculate the lowest common multiple of 20 and x(w).
40
Calculate the common denominator of -91/16 and 384/18 - 2/(-4).
48
Suppose 4*k = 12, 2*d = -2*k - k + 13. Suppose -o + 4 - d = 0. Calculate the lowest common multiple of o and 18.
18
Let h = -3/1360 - 51617/28560. Find the common denominator of h and -139/24.
168
Suppose -5*h + 26 = -t, t = h + 1 - 3. Suppose 2*q - z = -6, q - 1 = -2*z + 1. Let l = q - -6. What is the least common multiple of h and l?
12
Let k(p) be the second derivative of -1/2*p**2 - 2*p + 5/6*p**3 + 0. What is the common denominator of -28/11 and k(5)?
11
Let m(l) = l - 4. Let f be m(3). What is the lowest common multiple of ((-4)/3)/(f/3) and 1 + (-1 - -18 - -2)?
20
Let w = 58897/14 + -4214. Suppose -3*p = 2*z + 153, -2*z - 65 = 5*p + 78. Find the common denominator of ((-82)/z - 2)*3 and w.
14
Let y = -2 - -4. What is the common denominator of -5/7 and 4/(-10)*(y + 17)?
35
Let q = 98 - 70. Find the common denominator of 37/5 and q/16*3/(-2).
40
Suppose -4*u = 2*r - 0*r - 148, 2*u + 6 = 0. Calculate the lowest common multiple of 6 and r.
240
Suppose 4*d = -3*j + 11, -5*j + 3*d - 1 = -0*j. Let m be 2 + 3/(-3) + -14. Let h = 24 + m. Calculate the least common multiple of j and h.
11
What is the common denominator of ((-2)/21)/(((-42)/(-36))/(-7)) and -29?
7
Let l = 23629 - 116827/5. Let z = l + -1031/4. What is the common denominator of z and -139/6?
60
Calculate the smallest common multiple of ((-297)/22)/(6/(-8)) and 14.
126
Let m = 8 + -2. Let h = 48 + -44. What is the lowest common multiple of m and h?
12
Suppose 0*r + 2*r = 20. Calculate the least common multiple of 14 and r.
70
Let h(s) = -s - 2. Let j be h(-8). Calculate the smallest common multiple of 2 - 2/j*0 and 7.
14
Let v(g) = 11*g - 2. Calculate the lowest common multiple of v(2) and 18.
180
Let j(t) = t**2 + 2*t + 6. What is the smallest common multiple of j(0) and 2?
6
Suppose -152 = 4*c + l, 3*c + 2*l - 125 = 6*c. Let v = 11 + c. What is the least common multiple of 1/3 + v/(-6) and 11?
55
Let a be ((-3)/6)/(2/4). Let f = a + 5. Let h(o) = -4*o. Calculate the lowest common multiple of f and h(-3).
12
What is the common denominator of -79/20 and (292/10)/((-364)/(-65))?
140
What is the smallest common multiple of (-4 + 5)/(2*(-3)/(-252)) and 12?
84
Suppose -u + 6 = -0. Calculate the smallest common multiple of u and 2.
6
Suppose -4*z + 2 + 6 = 0. Suppose -6 = -z*x + 34. What is the common denominator of 1/4 + (-179)/x and 3?
10
Let p = -399 + 1212. Let a = p + -1699/2. Calculate the common denominator of -3 and a.
2
Suppose 0*a = -a + 8. Suppose -r + a = 1. What is the smallest common multiple of 8 and r?
56
Suppose 66 + 114 = 10*h. Let c(z) = z**3 + 8*z**2 + 5*z + 8. What is the smallest common multiple of h and c(-7)?
198
Let d = -579/2 + 280. Let c(v) = -1765*v + 4. Let f be c(3). Let q = f + 42267/8. What is the common denominator of d and q?
8
Let v be 2*6/5*-5. Let r be 8/v*(-9)/6. What is the smallest common multiple of -1 + (r - -2*5) and 20?
20
Suppose -2*t - 2*b + 4 = 0, b + 4 + 6 = t. Let i(j) = -j**2 + 8*j - 7. What is the smallest common multiple of i(5) and t?
24
Let j = 77 + -68. What is the least common multiple of j and 15?
45
Let u(z) = 3*z + 33. Let a = 6 + -2. What is the least common multiple of u(-8) and a?
36
Let o be (7 + -2)/(1/1). Suppose 2*w = 2*i - 2, 0*w - w + o*i = 13. Let t(f) = -f**3 + 4. What is the smallest common multiple of w and t(0)?
4
Suppose -l - 3*l + 17860 = 0. Let c = 35775/8 - l. Let f = 4047 + -24409/6. What is the common denominator of c and f?
24
Let u(a) = -4*a - 1. Let f(z) = -z - 7. Let k be f(-5). Suppose -o - 36 = -5*o. What is the least common multiple of u(k) and o?
63
Suppose 10 + 12 = z. What is the smallest common multiple of 4/(-22) + 356/z and 14?
112
Let f = -37 - -3. Let m = -16 - f. Calculate the lowest common multiple of m and 8.
72
Let g be (-136)/(-221)*1/270. Let o = g - 73133/3510. Let i = -