f - 1. Let b be k(-3). Suppose 0 = b*s + d - 31, -4*s + s + 46 = 2*d. Calculate the lowest common multiple of 16 and s.
16
Suppose 0 = 3*y - 27 + 87. Let o = -14 - y. What is the least common multiple of 4 and o?
12
Suppose 3*s - s + 108 = 0. Let n = -47213/10 - -4725. Find the common denominator of n and (285/s)/1 + 1.
90
Let c be 1/(-2)*(-23864484758307)/(-522206790). Let x = -1/17406893 - c. Let q = x - 22845. Find the common denominator of q and -67/16.
80
Let l(g) = g**3 + 6*g**2 - 8*g - 7. Let h be l(-7). Suppose h*s = 2*s. Suppose s = 2*x - 0*x - 28. Calculate the lowest common multiple of x and 4.
28
Let d = 43 - 40. Calculate the lowest common multiple of d and 30.
30
Let r = -90 - -51. What is the least common multiple of 10 and r/(-4) + (-6)/(-24)?
10
Let f be -1 - (0/(-3) - 1). Suppose 5*c = -f*c + 20. Suppose -c*v + 40 = 4*g, 3*g - 2*g - 6 = -5*v. What is the least common multiple of 4 and g?
44
Suppose -l + 12 = -5*m, 3*l - 10 + 4 = 0. Suppose 3*k - 42 = -12. What is the smallest common multiple of k and ((-1)/m)/((-1)/(-14))?
70
Let r(w) = 3*w + 7. Let z be r(-5). What is the lowest common multiple of (-6)/z - (-85)/20 and 9?
45
Let r = 16 + -17. What is the common denominator of -9/11 and 130/(-110) + (-3)/r?
11
Let r(z) = z**3 - 6*z**2 - 8*z + 8. Let p be r(7). Let v = 1 + p. Suppose -q + v = -1. What is the lowest common multiple of q and 5?
15
Suppose 2*t + 4 = -3*t + 2*l, -l - 5 = t. Let a(b) = -b**3 + 2*b**2 + 2. Suppose 3*x - 69 + 21 = 0. What is the smallest common multiple of a(t) and x?
144
Suppose 0 = 140*a - 130*a - 60. Suppose 0 = 3*u - 9 - 15. Calculate the least common multiple of u and a.
24
Let o = 5/641 - 23857/17948. Calculate the common denominator of o and -23/32.
224
What is the common denominator of ((-4)/16)/((-3)/75) and 69/2 - (1 + 1)?
4
Calculate the least common multiple of 7*(-3)/(-4) - 1/4 and 7.
35
Let r(u) = -58*u + 7. Let v be r(-7). Let q = -62932 - -312606/5. Let c = q + v. What is the common denominator of 2/7 and c?
35
Let c be 1/(2 - 1)*42. What is the smallest common multiple of (1/(-3))/((-2)/c) and 8?
56
Let v be 32855/((2/3)/(-2)). Let z be v/(-2122)*(-1)/(-9). Let a = 6/1061 + z. Calculate the common denominator of a and -5/12.
12
Let g = 6 + -1. Suppose 0 = g*x - 12 + 2. Calculate the least common multiple of 10 and 456/21 + x/7.
110
Calculate the common denominator of 17/10 + -4 + 3 + -3 and 19/2.
10
Let y = 428845/281602 - 311/206. Let a = y - -37744129/8202. Let u = -4584 + a. Find the common denominator of u and -20/7.
42
Suppose -4*s = -0*s + 64. Find the common denominator of 33/20 and (-22)/(-4) - s/72.
180
Let j = -15 - -25. Suppose -2*i = -0 - 16. Calculate the smallest common multiple of j and i.
40
Let d = -645116 - -3859373/6. Let z = -1881 - d. What is the common denominator of (-261)/120 + (-2)/10 and z?
24
Let f(l) = 7*l - 2. Let g be f(6). Suppose 5*p = -5*i + g, i + 4 = -i. What is the lowest common multiple of p and 2?
10
Let p(v) = -v**3 - 42. Let f be p(0). What is the common denominator of 229/f - 4/(-14) and 49/20?
60
Let q = -30 + 39. Calculate the least common multiple of q and 32.
288
Let a(c) = 2*c - 6. Let f be a(6). Let h = 91 + -161/2. Find the common denominator of h and f/15 - 354/(-15).
2
Let c be 24/28*13*7. Find the common denominator of (c/(-2))/(0 - -10) and 109/18.
90
Let c = -9 + 21. Calculate the lowest common multiple of c and 10.
60
Let n be (-1146)/(-572) + -4 + 2. Let m = -2291/858 + n. Calculate the common denominator of m and 31.
3
Find the common denominator of 1/46 and (-13 - -43)*10/64.
368
Suppose 1 = -2*d - 3. Let p = d - -4. Let b(j) = -j**3 + 7*j**2 + j - 4. Calculate the smallest common multiple of p and b(7).
6
Suppose 0 = 4*w + 2 - 26. What is the common denominator of 49/10 and 4/w + 182/(-48)?
40
Let x = -22 - -24. Calculate the lowest common multiple of 9 and x.
18
Let k(s) = -5*s + 51. Calculate the lowest common multiple of 20 and k(7).
80
Let g(j) = j**3 + 7*j**2 - 8*j + 6. Calculate the lowest common multiple of g(-8) and 65/4 + 7/(-28).
48
Let b = 1685/2 + -889. What is the common denominator of b and -77/18?
18
Let m = 155/2 + -86. What is the common denominator of m and -55/13?
26
Let v = -4 + 13. What is the lowest common multiple of v and 8?
72
Let j(r) = -2*r**2 + 23*r + 16. Calculate the least common multiple of j(12) and 4.
4
Let n be (1/(-2))/(1/33757). Let h = -17752 - n. Let u = h + 844. What is the common denominator of u and -31/6?
6
Suppose -3*g = -5*s - 1, -3*g - g = 3*s - 11. Suppose -2*w = 2*w - 40. What is the smallest common multiple of w and g?
10
Suppose 0 = k - 2 - 1. Suppose -x - 42 = -7*x. Calculate the least common multiple of k and x.
21
Let d(p) = p**2 - 2. Let f(j) = j**3 + 5*j**2 + 4*j + 6. Calculate the least common multiple of f(-3) and d(4).
84
Let n(x) = -x**3 + x**2 + 5*x - 3. Let q be (5 - 2/1)*1. Let s be n(q). Let v = s - -9. Calculate the least common multiple of 2 and v.
6
What is the common denominator of -87/20 and (21/(-22))/((-9)/21)?
220
Let l(q) = q - 6. Let p be l(0). What is the common denominator of 23/20 and 51/90 + (-2)/p?
20
Let c = -2663 - -24031/9. What is the common denominator of -48/5 and c?
45
Let y(c) = c**2 + 11*c + 12. Let q be y(-10). Suppose 32 = 2*r + q*r. What is the smallest common multiple of 16 and r?
16
Let u(f) = f**2 + f - 3. Let a = 91 + -52. Find the common denominator of u(-5) and 2*(2 - a/24).
4
Suppose 0 = -3*x + 5*q + 11 + 30, 5*x + 2*q - 120 = 0. Calculate the smallest common multiple of x and 18.
198
Let d = 251045/32 - 7846. Find the common denominator of d and 83/32.
32
Let m = -1939 - -3789/2. What is the common denominator of 35/12 and m?
12
Let q = -3098 - -4637705/1497. Let x = q - 5486/4491. Find the common denominator of x and -56/5.
45
Let x = 611/2 + -352. What is the common denominator of x and 20/3?
6
Let f(x) = 23*x**2 + x + 2. What is the least common multiple of f(-1) and 6?
24
Let s = -2/4321419 + 10905825443/9420693420. Let d = -5/654 + s. Calculate the common denominator of d and -65/4.
20
Calculate the common denominator of 26/126 - 10/(-45) and -53/5.
35
Find the common denominator of 8/3 and -7*(4 - (-48)/(-7)).
3
Let v be (-80)/(-28)*(-1)/(-376). Let q = 3/47 + v. Find the common denominator of (-4)/2 - 166/20 and q.
70
Suppose 0 = 6*b - b + 10. Let v(f) = -3*f + 2. What is the least common multiple of v(-2) and (10 + -2)/((-1)/b)?
16
Let m = 9 + -1. Suppose 0*t + 4 = 2*t. What is the least common multiple of m and t?
8
Let q be 84/30 - (-2)/10. Let b = 14477/20 - 721. Calculate the common denominator of b and ((-38)/q)/((-28)/21).
20
Let w = -8 - -8. Suppose -3*a + 36 = -w*a. What is the least common multiple of a and 0 + 0 + 2 + 8?
60
Let o = -4769269/9210 - -3107/6. Let l = -47609/9210 - o. Let b = -9/20 - -919/20. Calculate the common denominator of l and b.
6
Let g = 1 - 6. Suppose 1057 = 5*q - 1318. Find the common denominator of q/g*1/4 and 56/11.
44
Suppose b - 5*m + 5 = -4, 12 = 2*b + 5*m. What is the common denominator of b + 1*(-146)/28 and 46/8*(-2)/10?
140
Let k = 3 - -19. Suppose -2*s = -4*a - 44, 4*s - 84 = 4*a - 0*a. What is the smallest common multiple of k and s?
220
Calculate the common denominator of 51/8 and -5 - (-134)/26 - 1445/182.
56
Let m(u) = u**2 - 15*u + 18. Let n be m(14). Suppose -18 = -n*c + 2*c. Let i = -5 + 11. What is the least common multiple of c and i?
18
Let n(k) = -k - 7. Let x be n(-10). Find the common denominator of -1*x + 806/(-39) and 89/10.
30
Let q = 1755/2 - 905. Find the common denominator of q and 17/20.
20
Let k = -25 + 32. Suppose k*l - 12 = 16. Calculate the lowest common multiple of l and 12.
12
Suppose -c - 2*h + 8 = 0, 4*c = 3*h - 5*h + 38. Calculate the least common multiple of c and 1.
10
Suppose -3*w + 2*w - 140 = 2*m, 3*w + 4*m = -416. Let z be 6/(-134)*(-29606)/w. Let q = z + -3/1139. Calculate the common denominator of 45/4 and q.
4
Let u(y) = 19*y. Calculate the smallest common multiple of 7 and u(1).
133
Suppose -2*y - 1 = -5. Find the common denominator of 12/(-10)*y/6 and 22/12*(-18)/(-4).
20
Suppose -5*r - 31 = -3*o, -o + 3*r = 4*r - 13. Suppose 3*g - 21 - o = 0. What is the least common multiple of 10 and g?
110
Suppose -23 = 2*y - 3*b, y - 11 = -5*b + 10