7 + 31. What is the smallest common multiple of q and o?
14
Suppose 4*w - 51 = -2*x + 21, x = -4*w + 72. Let s be (9/2)/(w/744). Find the common denominator of 1*-2 - s/(-32) and 29/14.
112
Let s = 32 + -12. Suppose 16*q - 22*q = -96. What is the smallest common multiple of q and s?
80
Let i(r) = 5 - 2*r - 3 - 2*r + 3*r. Let m = 6 - 3. What is the smallest common multiple of m and i(-3)?
15
Let u(o) = o**2 + 14*o + 10. Let m be u(-10). Let j = -21/4 + 123/20. What is the common denominator of (47/m)/((-10)/15) and j?
20
Let a be 17106/(-10252)*(-6)/9. Let h = -5/233 + a. What is the common denominator of 51/7 and h?
77
Suppose 0 = -4*f - f - 400. Suppose 21 = 4*a - 11. Calculate the least common multiple of a and (33/(-22))/(6/f).
40
Let t be ((-1)/(-3))/((-4)/(-36)). Suppose 0 = -m + 7 + t. Calculate the lowest common multiple of m and 8.
40
Let d(r) = r**3 - 3*r**2 - 8*r + 5. Let n be d(5). Calculate the lowest common multiple of (16/(-6))/((-2)/n) and 16.
80
Let a = 3 - 1. Suppose 0*v = l - v - 12, 3*l + 3*v = 12. Calculate the smallest common multiple of l and a.
8
Suppose -13 = -v - 5. Let b(a) = 4*a - 6. Let h(d) = -d**3 - 4*d**2 - d. Let r be h(-4). Calculate the least common multiple of v and b(r).
40
Let j be ((-8)/2)/(1/(-2051)). Let y = -131349/16 + j. Calculate the common denominator of y and 3/(36/286) - 2.
48
Let h(k) = 14*k**3 - k**2 + 1. Suppose 3*y + 2*t + 0*t = 7, -y + 5 = 2*t. Calculate the lowest common multiple of h(y) and 20.
140
Suppose 3*j + 5 = -2*j. Let g = 22 - 10. What is the smallest common multiple of 0 - (-8 - 0/j) and g?
24
Let y = 812821/30 + -27100. What is the common denominator of -121/18 and y?
90
Suppose 4*j + 4 = 0, -4*j - 52 - 4 = 2*n. Find the common denominator of 64/3 and n.
3
Let n = -1200 - -2447/2. Let w(f) = -15*f + 4. Let v be w(6). Let u = -136 - v. Calculate the common denominator of u and n.
2
Suppose 0 = 2*d - d - 4. Suppose -z = -d*z + 54. Calculate the smallest common multiple of z and (-30)/(11 - 5) - -25.
180
Let h = -13 + 31. Calculate the lowest common multiple of 12 and h.
36
Suppose 2*n + 9 = -3*h, 0*n + n = 2*h - 1. Calculate the common denominator of 417/45 - (-2)/n and 6/(-2) - 13/(-9).
45
Let j(t) = -1440*t**3 + 10*t**2 + t + 16. Let d be j(11). Let h be d/294 + (-1)/(-3). Let l = -6523 - h. Calculate the common denominator of l and -97/18.
126
Let l be (-40)/(-3)*3/2. Let w = l + -13. Calculate the lowest common multiple of w and 5.
35
Suppose 4*m + 2*r + 178 = 0, -2*m - 4*r = r + 109. Calculate the least common multiple of m/(-4) + 12/(-8) and 1.
9
Let d be (-2)/4 + 1941578/(-192552). Let s = d + 1/16046. Calculate the common denominator of 83/2 and s.
12
Let k(h) = h**2 + 2*h + 1. Let c be k(-2). Let n be c - 6*(-14)/(-3). Find the common denominator of (-730)/(-72) - (-6)/n and 17/2.
12
Let w = 110 - 109. Calculate the lowest common multiple of w and 11.
11
Let u(z) = 0*z**2 - 11*z**2 + z + 2*z**2. Let d be u(1). What is the common denominator of (-198)/d + 5 + -7 and -33/2?
4
Suppose 96 = 3*u - 60. Suppose -5*x + u = -3. Let t(z) = 10*z**2. What is the smallest common multiple of x and t(1)?
110
Let c(m) = m**3 + 7*m**2 - 11*m - 12. Calculate the least common multiple of c(-8) and 2.
12
Let g = -6 + 8. What is the lowest common multiple of g and 9?
18
Let f = 27618/7 - 3952. Let x(d) = 15*d**2 - 3*d + 2. Let k be x(3). What is the common denominator of f and 30*(k/(-70) - -2)?
7
Let f(z) = -z - 9. Let a be f(-5). Let i = a - -20. Calculate the smallest common multiple of i and 2.
16
Calculate the least common multiple of 14 and 259/14 - (-6)/4.
140
Suppose 4*y - 2 = -5*c, -5*y = -c + 7 - 24. Find the common denominator of 78/(-27) + 1 + c and 34/4*4/22.
99
Suppose t = 2*t - 12. What is the lowest common multiple of 14 and t?
84
Let v = 7793/11 + -706. Find the common denominator of -52/3 and v.
33
Suppose -2*t + 12 = t. Suppose 4*y = -4*a + 6 - 14, 2 = 5*a - y. Let v = 3 + a. Calculate the least common multiple of t and v.
12
Let k = -2 - -1. Calculate the common denominator of -2*(-17)/9 - -2 and ((-469)/14)/(0 - k).
18
Let t = -3 + 11. Let g = 5 - t. Let j(m) = -m**3 - 2*m**2 + m - 2. What is the smallest common multiple of 6 and j(g)?
12
Calculate the common denominator of (4 - 1178/(-240))/4 - 2 and -103/10.
480
Let z(t) = -6*t + 22. Let b(y) = -7*y + 21. Let o(m) = 5*b(m) - 6*z(m). Find the common denominator of o(13) and -14.
1
Suppose -28 = y + 4*h, 4*y - h - 187 = 8*y. Calculate the least common multiple of (-36)/y + (-154)/(-8) and 4.
20
Let l(s) = 8*s + 10. Let t be l(-7). Let o = -81 - t. Let m = 57 + o. What is the lowest common multiple of 10 and m?
110
Let k(p) = p**3 - 6*p**2 + 6*p + 1. Calculate the lowest common multiple of k(5) and 8.
24
Let w = 4906 + -127691/26. Let p = w - 134/13. Calculate the common denominator of 47/18 and p.
18
Let u(a) = -3*a - 3. Suppose q - 2 = 4*d - 0, 0 = -3*q + 3*d - 3. Let y be u(q). Let c = y - 0. Calculate the least common multiple of 3 and c.
3
Let i be (-2 - -2) + 1 + 15. Let d = -921/11 - -1913/22. Find the common denominator of d and 380/i*1/4.
176
Suppose 28 = 3*w + 1. Let f(k) = k**2 - 8*k + 19. What is the smallest common multiple of w and f(6)?
63
Let i = -421447/38 - -11090. Find the common denominator of (81/60)/(2/(-4)) and i.
190
Let l be 8/16 - (-954760)/(-175374). Let o = l - 3/9743. Find the common denominator of o and -39/16.
144
Let y(m) = -m**3 - 10*m**2 - 8*m - 1. Let s be y(-9). Calculate the common denominator of 2/s*795/18 and 7/2.
6
Let u be -2 - 3 - (-12)/4. Calculate the least common multiple of 8 and 8 - 6*u/4.
88
Calculate the least common multiple of (-2)/4 - (-12)/8 and 8.
8
Let g(i) = -i. Suppose 2*h = 7*h - 45. What is the lowest common multiple of g(-5) and h?
45
Let d = 35 + -19. What is the least common multiple of d and 14?
112
Let g(x) = -x**3 - 15*x**2 + 2*x + 33. What is the lowest common multiple of g(-15) and 2?
6
Let b be (-2)/9 + 2765/(-180). Let i = b + 1/3. Calculate the common denominator of 33/7 and i.
28
Let z be 19 + -2 - (0 + -2). Let s = -14 + z. Calculate the least common multiple of 5 and s.
5
Suppose -u = u. Let s = u - -3. Calculate the lowest common multiple of 14 and 1*s/1 - -1.
28
What is the common denominator of (-1017)/(-21)*5/(-30) and -47/16?
112
Suppose r - 60 = -4*r. Suppose 7*y - 6*y - 20 = 0. Calculate the least common multiple of y and r.
60
Calculate the smallest common multiple of 4 and (-6)/(-15)*5 + 0.
4
Let b(m) = 2*m - 6. Let o be b(4). Suppose 0*g + 8 = -2*g. Calculate the common denominator of -109/18 and o/20*162/g.
180
Calculate the lowest common multiple of -6*((-15)/2)/5 and 4/(-26) + 290/26.
99
Let j = 430/2263 + -865595/1518473. Let q = 60/61 - j. Find the common denominator of q and 2/5.
55
Suppose u + 6 = 3*u. Let m be u/(3/(-8)) + 2. Calculate the smallest common multiple of 14 and (-2)/(-3) + (-128)/m.
154
Let g be 3*(-1 + 2)*-7. Calculate the common denominator of 1/2 and g/18*(-61)/14.
12
Let z = 733 + -8073/11. Find the common denominator of z and -47/10.
110
Let m = -2 - -18. Suppose -8 = 4*z, -2*t - z = -7*t + 22. Suppose 0 = -3*r + r + t. Calculate the smallest common multiple of r and m.
16
Suppose 3*n = -m - 3*m, -n - 2*m = 2. Let j(g) = 18*g**2 + 2*g - 2. Let f be j(-2). Suppose -f = u - n*u. What is the smallest common multiple of 16 and u?
176
Let a be (-2)/(-4) + (-17)/2. Let w be (-2)/a - 917/(-20). Let q = w + -43. Calculate the common denominator of q and -151/12.
60
Let i = -14 + 20. Suppose 2*j - 7 - 9 = 0. Let c = j + i. What is the smallest common multiple of c and 18?
126
Let o = -601/10 + 968/15. Calculate the common denominator of o and 12/7.
210
Suppose 3*h - 7 = 14. Let q be 6/(-21) - 103/h. Let n = q - -29. What is the lowest common multiple of 4 and n?
28
Suppose 3*t - 5*o = 1, 3*t + t + 3*o = 11. Suppose -4*w - 76 = -5*j, -2*j + 5*w - 6*w = -20. What is the smallest common multiple of t and j?
12
What is the common denominator of 38/5 and 21/11*(-4)/3?
55
Suppose -t = -0*t - 7. Suppose 3*w = -u + 29, 2*w - 6*w + 4*u + 44 = 0. Calculate the least common multiple of w and t.
70
Let g be (-22986)/35*230/8. Let v be 0/(-3) + 18890 + -1. Let a = g + v. Calculate the common denominator of a and 11/10.
70
Let q = -9 -