2*h + 9 - 3. What is the least common multiple of h and 10?
30
Let o(d) = d**3 + 8*d**2 + 4*d - 9. Suppose -25 - 10 = 5*q. Let g be o(q). Let n = g - 2. What is the lowest common multiple of n and 5?
10
Let n(a) = -16*a + 1. Let s(i) = 15*i - 1. Let r(p) = 3*n(p) + 4*s(p). Let w = 1 + 0. Calculate the least common multiple of w and r(1).
11
Let l = 1/5305 - -503953/116710. What is the common denominator of l and -133/6?
66
Suppose -3*t - 6 = -z, 1 = -4*t - 2*z - 17. Let b = t + 13. Let o = b + -5. What is the lowest common multiple of o and 11?
55
Let z = 8/5 - -33/20. Calculate the common denominator of z and (4 - 316/84)*-18.
28
Let u = -12 - -8. Let n = 9 + u. Calculate the smallest common multiple of 6 and n.
30
Let j be (-1)/2 - (-7256)/42. Let s = j - 1102/7. Calculate the common denominator of s and 19/20.
60
Let r be 0 - (-8)/(-35836) - 0. Let p = 654023/71672 + r. What is the common denominator of p and -3?
8
Suppose -3*c + 3 = -5*b, -b - 4*b + 4 = 4*c. Suppose b = 4*z - 3 - 9, 2*s - 34 = -2*z. What is the least common multiple of 2 and s?
14
Let t(s) = 10*s - 1. Let q be (2 + -1)/(3/6). Suppose -3*d - q*d = -4*c + 20, -2*c - 4*d = -10. What is the smallest common multiple of t(1) and c?
45
Let f = -4713 + 75381/16. Suppose -4*v - 7 = 1. What is the common denominator of f and -41*v/(-16) - 3?
16
Let h(w) = w + 4. Let v be h(-7). Let r = -2 - v. Calculate the lowest common multiple of r/((-2)/4) + 18 and 8.
16
Let s = 9 - 5. What is the smallest common multiple of s and 6?
12
Suppose -2*d + 30 = d. Let q(m) = 9*m**3 + 2*m**2 - m. Calculate the lowest common multiple of d and q(1).
10
Suppose -t - 2*t = 36. What is the common denominator of 1/t*166 - -2 and -43/20?
60
Let x be (2/60184)/(75/680). Let p = 729392261/677070 + x. Let z = 1071 - p. What is the common denominator of z and 35/4?
36
Let p be (-1)/((-1)/8) - -1. Suppose 2*u + u = -p. Find the common denominator of 1 + (-25)/11 - u and -29/5.
55
Calculate the smallest common multiple of 6 and 4 - -1*(0 - 0).
12
Let x be (-6)/5 + 3/15. Let y = -32549/6 - -5405. What is the common denominator of (-206)/(-20) - x*1 and y?
30
Let h(n) = n**2 - 11*n + 31. Let k = 17 - 10. Calculate the lowest common multiple of h(6) and k.
7
Let h(c) = 2*c**2 - 3*c. Let p be (-3)/(-2) - 5/(-10). Let b be h(p). What is the common denominator of (-83)/(-33) - b/(-3) and 21?
11
Let y = 12 + -4. Suppose 0 - y = -z. Calculate the least common multiple of z and 8.
8
Find the common denominator of 21/4 and ((-2)/(-54))/((-5)/(-1005)).
36
Let q(g) = 12*g - 2. Suppose -2*x = -11 + 55. Let n = 36 + x. What is the lowest common multiple of q(2) and n?
154
Suppose -5*l - 38 = -4*v, -v - 4*l = -l - 1. Suppose m + v = s, -2*m - 2*m + 2 = s. Let r = 15 - s. Calculate the least common multiple of 3 and r.
9
Suppose 6*x - 17091 = 4*t + 3*x, 4*t = 5*x - 17093. Let p = 34265/8 + t. Calculate the common denominator of 73/4 and p.
8
Let a(l) = l**2 + 3*l - 4. Let m be a(-5). Calculate the common denominator of -32 and (m/(-21))/((-6)/(-87)).
7
Let u(y) = -8*y + 4. Let s be u(-4). Let k = -14 + s. Calculate the lowest common multiple of 4 and k.
44
Let q(z) = -2*z + 11. Let m be q(8). What is the common denominator of 45/(-10)*(-8)/m and 123/10?
10
Find the common denominator of 31/4 and -2 - -3*(-27)/30.
20
Let d be 11 + -8 - 5377/(-312). Let z = d - 326/39. Find the common denominator of 17/11 and z.
88
Suppose 0*c + 108 = 4*c. What is the least common multiple of c and 3?
27
Let s be -1*4*(6 - 3). Calculate the common denominator of -3 + 0 - (-83)/s and 57/2.
12
Let y(c) = -c**2 - 8*c - 8. Let h(v) = 3*v + 6. Let o be h(-4). Calculate the least common multiple of y(o) and 10.
20
Let x(m) = -3*m - 2. Calculate the least common multiple of x(-4) and 16.
80
Suppose 3*g - 3 = -4*d + 6, -d = -2*g - 16. Calculate the least common multiple of 57 and d.
114
Let k = -2447 - -17156/7. Suppose 5*i + 132 = i. What is the common denominator of k and (17/(-2))/(i/18)?
77
Suppose 3*l - 2*m = 50, 2*l = -5*m + 89 - 24. Calculate the lowest common multiple of l and (1/(-3))/(1/(-42)).
140
Let x = -8009 - -168151/21. Calculate the common denominator of x and 37/30.
210
Let s = -109/14 + -19/7. Calculate the common denominator of -59/10 and s.
10
Suppose -b = -s - 4*s - 5, b = 2*s + 5. Suppose s = 2*y - 15 + 5. Suppose -19 = -y*h + 1. What is the smallest common multiple of 14 and h?
28
Find the common denominator of -1 + ((-12)/(-63))/(8/(-228)) and (0 - 3) + 38/(-7).
7
Let w be (1/(-2))/(9/90). What is the smallest common multiple of 6 and 14 + 0 + 7 + w?
48
Calculate the smallest common multiple of (-12)/30 + (-254)/(-10) and 7.
175
Suppose -2*x + 29 = -5*r, -4*r = -5*x + 12 + 18. Find the common denominator of 99/16 and x - (212/32 + -2).
16
Suppose 3*p = -p + 48936. Let c = p + -146695/12. Let d = -278599/84696 + -8/3529. Calculate the common denominator of d and c.
24
Suppose -x + 3*m - 14 = 0, 4*x - x = 5*m - 34. Let u = x - -18. Calculate the smallest common multiple of 10 and u.
10
Let s = 22 + -11. Suppose 0 = -3*k - 4*x + 114, -k = -x - 34 - s. Let y = -30 + k. What is the least common multiple of 22 and y?
132
Let x(n) = -2*n**3 - 10*n**2 - 14*n + 5. What is the least common multiple of 4 and x(-6)?
644
Suppose -4*l - 4*q + 34 = -22, -4*l - 2*q + 46 = 0. Calculate the common denominator of -91/8 and (-2 - l/(-96))*-2.
16
Suppose -3*s = 15, 3*m - 34 = 2*s + 3*s. Calculate the smallest common multiple of 5 and (1 - 4)*(m - 4).
15
Calculate the lowest common multiple of ((-70)/25 - -1)*40/(-6) and 14.
84
Suppose -5*w = 8*w - 208. Calculate the least common multiple of w and 2.
16
Suppose -w + 5*w = -4*z + 52, 32 = 4*z - w. Suppose -3*g + 2*g = -z. Calculate the smallest common multiple of g and 10.
90
Let x(p) = p**3 - p**2 - 4*p + 3. Let o be x(2). What is the common denominator of (45 - o)*18/120 and 142/24 - (1 - 0)?
60
Find the common denominator of (-113)/(-6) + (-8)/(-2) and -149/12.
12
Suppose 24 = -b + 3*b. Let z = b - 5. Suppose 5*g - 3*g - 12 = 0. What is the least common multiple of g and z?
42
Let l(y) = y**3 + 9*y**2 - 2*y - 13. Let w be l(-9). Suppose -6 = -2*s + 4*f, -3*s - s + f = -w. Calculate the least common multiple of s and 12*(-2)/(-9)*3.
8
Let o = -898 + 12597/14. Let k = 3273 - 45721/14. Find the common denominator of k and o.
14
Let a be 18086/(-110)*(-2)/(-80). Let c = 2826996/275 - 10280. Let x = c + a. Find the common denominator of x and 25/6.
24
Let q = 17 - 10. Suppose 0 = -3*r + 5*k + q + 16, -2*r + k + 20 = 0. What is the lowest common multiple of 9 and r?
99
What is the smallest common multiple of 22 and (-2)/(-4) + (-18)/(-12)?
22
Let x(f) = f**3 - 5*f**2 + 6*f - 6. Let v be x(4). Suppose -v*i + 18 = -50. What is the smallest common multiple of i and 16?
272
Let s = 7852 + -47227/6. Calculate the common denominator of s and 61/(-40) - (-9)/(-72).
60
Let r = -21 - -22. What is the common denominator of r - (45/8 - 4) and (-82)/44 + 2 + -3?
88
Let m = 10807 - 66005/6. Let j = m - -530/3. Calculate the common denominator of j and -143/6.
6
Let h(d) = 6*d - 2. Let f = -15734 + 157523/10. Let b = 164/5 - f. Find the common denominator of b and h(4).
2
Let q = -20966444552162/2410085251385 + 1/518855813. Let n = 1/1858 - q. What is the common denominator of ((-7)/(-3))/(15/36) and n?
10
Let d(v) = 9*v - 49. What is the least common multiple of 1 and d(9)?
32
Let n(s) = -s**2 - s - 5. Let o be n(0). Let z = -1 - o. What is the smallest common multiple of z and 1?
4
Let a(r) = -169*r + 9. Let z be a(9). Let j be 217/(-70)*(-1 - z). Let v = 4676 + j. Calculate the common denominator of v and -49/6.
30
Let q = -8 - -10. Suppose 3*w - 2 = q*w. Suppose -9 = -4*l - 5*f, 5*l + 5*f = 12 - w. Calculate the smallest common multiple of 10 and l.
10
Suppose c - 192 = 2*x - c, 5*c = -3*x - 288. What is the lowest common multiple of 10 and (x/20)/((-4)/10)?
60
Suppose 0*j - 20 = -3*g + 5*j, -4*j = -8. What is the common denominator of (-3)/(-24) - (-2284)/288 and 1 - ((-77)/g)/1?
90
Let m = 562537/92898 + 2/15483. Find the common denominator of -61/22 and m.
198
Let d = -16 + 23. Let z = -5 + d. What is the lowest common multiple of 1 and z?
2
Let o = -5 + 13. Let x = 8 + -4. Suppose 5*b + 17 - 56 = -3*a, -x*b 