r of z and -113/10.
120
Let h(m) = m - 3. Let p be h(4). Let g be 76191/(-520) - p/5. Let b = g - -1818/13. Calculate the common denominator of b and -89/10.
40
Let k(a) = -a**2 - 10*a + 6. Suppose -3*s - 12 - 3 = -3*d, 2*s = -4*d - 28. Calculate the lowest common multiple of k(s) and 22.
22
Let y(k) = -k**3 - 6*k**2 - 9*k - 12. What is the least common multiple of 20 and y(-5)?
40
Let r(u) = -u + 9. Let h be r(7). Suppose 5*y + 1637 = 2*k, 440 = -h*k + y + 2057. Let s = -4083/5 + k. What is the common denominator of 83/6 and s?
30
Let c(t) = -t**3 - 8*t**2 + t + 11. Let i be c(-8). Let f = i + 2. Suppose -1 = -f*m + 19. What is the least common multiple of 6 and m?
12
Suppose -5*z + 24 = -0*y - y, -z = y - 6. What is the least common multiple of z and (-10)/4*24/(-20)?
15
Let m be -4 + 5 - (-4)/2. What is the smallest common multiple of (m/2)/(2/8) and (-2)/(-1) - (-4)/4?
6
Let g be 2 + 21 - 4/(-2). Suppose 2*l = -g + 315. Calculate the common denominator of -1 - (l/18)/(-5) and -79/6.
18
Suppose -2*q - 2*q + 5*u + 28135 = 0, 4*u = 2*q - 14066. Let o = q + -98607/14. Find the common denominator of 1*2 - 45/16 and o.
112
Let o be -2*-2*1/(-4). Let m = -1/2 - o. Calculate the common denominator of m and 31/9.
18
Let q be (-2828062892741786)/(-648)*(-2)/707. Let s = -12345953576 - q. Let f = 1/8181 + s. Calculate the common denominator of f and -21/8.
72
Calculate the common denominator of -103/60 and (-290)/(-24) + 4/144*6.
60
Suppose -4*t - 14 = -t + 2*h, -24 = 2*t + 5*h. What is the common denominator of 8/5 and ((-6)/15)/(t/160)?
5
Let r(g) = g**3 - g**2 - 2*g + 2. Let f be r(2). Suppose -5 = -f*l + 35. Suppose -3*k + l + 10 = 0. Calculate the smallest common multiple of k and 10.
10
Let t = -86 - -106. What is the lowest common multiple of t and 12?
60
Suppose 7 = 2*n + 3. Suppose 44 = -n*g + 4*k, 3*g + k + 4 + 34 = 0. What is the common denominator of (-4)/g - 327/(-154) and -11/6?
66
Suppose 105 = 2*k + 2*q - 7*q, -5*k + 312 = 4*q. Suppose 0 = i + 5*x - 18, x = 3*i - 4*i + 26. Find the common denominator of i/(-6)*(-63)/k and 59/9.
90
Let s = -416749/20 + 20842. Find the common denominator of (-1)/3 + 50/12 and s.
60
Let r(k) = 6*k**2 + k. Let a be r(1). Let j(m) = -m**2 + 7*m + 6. Calculate the lowest common multiple of 8 and j(a).
24
Let p = -12/359 - -9071/2872. Find the common denominator of p and -109/22.
88
Let a = -9/59 + -1095/944. Calculate the common denominator of a and -83/14.
112
Let l = 46 + -6. Suppose 3*w + 24 = 2*d - 0*w, -4*d = -2*w - l. What is the smallest common multiple of d and 5?
45
Let v = 821/6 + -2749/21. What is the common denominator of -47/20 and v?
140
Let l = -16 + 33. Let v = l + -9. Calculate the lowest common multiple of 8/(-28) - (-79)/7 and v.
88
Let q(r) = 5*r**2 + 5 + 1 - r**3 - 4*r + 0*r - 2. Let j = 9 + -4. Calculate the lowest common multiple of j and q(3).
10
Let v = -50 + 66. What is the least common multiple of v and 22?
176
Let u = 14 - 2. What is the least common multiple of (4 + 1)/(15/18) and u?
12
Let c(r) = 5*r**2 + 7*r + 10. Let s = -1 - 5. Let n(z) = -z**2 - z - 1. Let d(p) = s*n(p) - c(p). What is the lowest common multiple of 8 and d(-3)?
8
Let u(k) = -2*k**2 - 11*k - 8. Calculate the least common multiple of 11 and u(-4).
44
Let x be 4 + -6 - 28/(-2). Let b = x - 2. What is the lowest common multiple of b and 2?
10
Suppose -2*c - 2 = 2. Let v be -106*((-1)/2 - 0). Find the common denominator of v/c*(-5)/10 and 17/22.
44
Suppose -6 - 4 = -2*o. Let m be -103*o + 2/(-8). Let b = m + 14617/28. Find the common denominator of -87/16 and b.
112
Suppose 40 = l - 347. Let h = l + -789/2. Find the common denominator of h and (1/(-12))/(3/(-402)).
6
Let p = -173 + 561. Let l = 3963/10 - p. Calculate the common denominator of l and 51/7.
70
Let n = 80 - 72. What is the lowest common multiple of 7 and n?
56
Let c(q) = 2*q**3 - 2*q**2 - 2*q + 1. Let r = 6 + -4. Let g be c(r). Suppose -y = -5*y + 8, g*y + 44 = 3*u. Calculate the smallest common multiple of u and 10.
90
Suppose -2*k + 6*j - 2 = 3*j, -2*k + 2*j = 0. Let f(m) = -k + 7*m**2 - 2*m - 2*m + 2*m + 0*m**2. Calculate the smallest common multiple of f(2) and 14.
154
What is the common denominator of (-2)/(-5) - (-2392)/720 and 47/22?
198
Let o(x) = 3 + 7*x + 1 - 2. Let a be o(-5). Find the common denominator of ((-54)/(-4))/(a/7) and -75/2.
22
What is the common denominator of 47/4 and (-33)/(-55) + 154/(-80)?
40
Suppose -3*z - 228 = z. Let o = z - -503/9. What is the common denominator of o and -121/10?
90
Let j = -50141941/60 + 835672. Let o = j - -67/20. Calculate the common denominator of o and -111/10.
30
Suppose -14*x - 70 = -19*x. What is the least common multiple of x and 12?
84
Let q = -2613 - -57503/22. Let u = -137/220 + q. What is the common denominator of -71/14 and u?
140
Calculate the smallest common multiple of -2 - (-1 + 4 + -7) and 40.
40
Let g be 0 - -4 - (-6)/3. What is the lowest common multiple of g/(-2)*24/(-18) and 6?
12
Let c be ((-4)/5)/((-4)/10). Suppose -4*m + 34 = -54. Calculate the lowest common multiple of -15*6/(-9)*c and m.
220
Let j(o) = 2*o**2 - 6*o + 2. Suppose h - 2*i - 8 = -2, 3*h = -3*i + 9. What is the smallest common multiple of j(h) and 22?
110
Suppose 3*a - 2*a + 4 = 0. Let t(h) = 1. Let g(w) = 3*w - 1. Let q(m) = -g(m) - 3*t(m). What is the lowest common multiple of 3 and q(a)?
30
Let v(j) = -4*j + 1. Let k be v(1). Let r be (4/(-9))/(k/18). Let c = 10 + r. What is the common denominator of 151/6 and c?
6
Suppose 9*v - 4*v = -2*g + 47, 2*g - 17 = 5*v. Suppose -l + 6 = -0*l. Calculate the smallest common multiple of l and g.
48
Let z = -15 - -11. Calculate the common denominator of -65/18 and z/6 - (-582)/108.
18
Suppose 5*d + 3*q = -q + 52, 0 = -4*q + 12. What is the lowest common multiple of d and 8?
8
Let l = 306785986051/1467 + -209124727. Let d = -2897723/37794810 - 2/115935. Let c = l - d. What is the common denominator of c and -91/22?
198
Suppose 5*w + 5*s = 10, 2*s - 13 = -2*w + 3*s. Suppose -9 = -4*h + 3. Find the common denominator of 12/(-10) + h/w and -56/3.
15
Let w(v) = -v**2 - 7*v + 10. Let u = -1/4482 + 4347547/31374. Let b = 132 - u. Calculate the common denominator of b and w(-7).
7
Let s(l) = -2*l + 1. Let m be s(-2). Let c(n) = -n + 3. Let t be c(m). Let z = t - -4. What is the lowest common multiple of z and 14?
14
Calculate the least common multiple of (-15)/30 + 50/4 and 6.
12
Suppose 0 = t + 19 + 15. Let x = 29103 + -523721/18. Find the common denominator of (-6)/(1 + t/66) and x.
72
Let j be 2/(-3)*27/(-6). Find the common denominator of (j - -22)/((-24)/(-2)) and 49/2.
12
Let k = -1376285/150824 - -2/18853. Calculate the common denominator of 87/50 and k.
200
Let s = 1480463/50 - 29611. Find the common denominator of s and 83/10.
50
Find the common denominator of (-205)/4*(-2)/(-30) and -77/20.
60
Let g = 985729/311085 - -1954/1115. Let r = -32/31 + g. Find the common denominator of 13/9 and r.
9
Let l(p) = -p**2 + 6*p - 2. Let q be l(3). Find the common denominator of -79/16 and q/(-16) - 4 - 1.
16
Let d = 4 + -1. Suppose -2*j + 3 = -j. Calculate the least common multiple of d and j.
3
Let k(h) = h**2 - 5*h + 6. Let g be k(5). Suppose -y - 9 = y - a, 5*a = -5. Let z = g + y. Calculate the smallest common multiple of 7 and z.
7
Suppose 2*b = -2*c - 2*b - 20, -3*c - 3*b - 15 = 0. Suppose -5*q + 20 + 10 = c. What is the least common multiple of 0/((-3)/3) + 4 and q?
12
Suppose 12 = 6*v - 3*v. Let m(p) = -2*p - 1. Let a(q) = q + 1. Let g(r) = -7*a(r) - 4*m(r). Calculate the smallest common multiple of 5 and g(v).
5
What is the common denominator of 38/11 and -314*(-1)/28 + (-6)/(-21)?
22
What is the smallest common multiple of 21 and (1 + 13)*6/4?
21
Find the common denominator of 74/(-44) - (-24)/132 and 76/21.
42
Let f = -24/5 + 138/35. Find the common denominator of f and (-48)/15*(-2)/(-2).
35
Let l = -2165/66 - -113/3. Find the common denominator of -43/8 and l.
88
Suppose 5*x - 15 = -0. Let u be (-11 - 1)*3/(-6). Calculate the smallest common multiple of x and 2/u*(1 - -8).
3
What is the common denominator of (-20)/(-7)*(-5)/(-8)*-2 and 41/6?
42
Suppose -3*m + 6 = 2*q, 9*q + 11 = -m + 4*q. What is the lowest common multiple of 150 and m?
300
Calculate the common den