 Calculate the smallest common multiple of 20 and y.
20
Let p(r) = r**2 - 6*r - 5. Let q be p(7). Suppose 3*l - 40 = -q*l. Let z = -7 - -11. What is the smallest common multiple of z and l?
8
Suppose 0 = a + 4, 2*a + a = -4*b + 8. Suppose 20 = -q + b*q. What is the least common multiple of 5 and q?
5
Let s = -41/96 - -3/32. Let i be (-2 + (-408)/(-202))/2. Let v = -2926/303 - i. Find the common denominator of s and v.
3
Let s = -2397 + -4675. Let p = s - -98961/14. What is the common denominator of p and (-112)/40*55/(-8)?
28
Let g(r) = r**2 + 1. Let s be g(-1). Suppose s*w - 36 = 8. What is the smallest common multiple of 18 and w?
198
Suppose 4 = 4*a - 2*a. What is the least common multiple of 1 and (a - (0 - -3)) + 11?
10
Let j(o) = 4*o**2 - 1. Let u be j(1). Suppose -12 = a - u*a. What is the least common multiple of a and 14?
42
Let b = 4499 - 80857/18. What is the common denominator of -67/26 and b?
234
Suppose 2*a - 3*h - 18 = 0, -a - a + h + 14 = 0. Suppose -3*v = -a*v + 18. Find the common denominator of -11/18 and (-2)/v - 86/(-132).
198
Let w = -33 - -49. Let i(b) = -b + 7. Let x be i(4). Suppose -x*q = -5*q + w. What is the lowest common multiple of q and 2?
8
What is the lowest common multiple of 12 and (-4)/1 - -8 - -8?
12
What is the common denominator of 41/10 and 292/9*(-10)/80?
90
Let g(p) = p**3 + 3*p**2 + p + 4. What is the lowest common multiple of g(-3) and 4?
4
Suppose 41*n + 10 = 36*n. Find the common denominator of 23/4 and (58/24)/(n/10).
12
Let n = -25/102 - 125/68. What is the common denominator of n and (-1 + (-190)/(-132))*-3?
132
Let r(v) = -4*v**3 + 8*v**2 - 9*v + 2. Let w be r(-7). Let s = -14663/8 + w. Calculate the common denominator of s and -73/12.
24
Calculate the common denominator of -57/8 and (30/12)/((-8)/(-10)).
8
Suppose 1650 = 2*o + 3*o. Find the common denominator of (-681)/o + (-3)/(-15) and -39/22.
22
Let v = -1588/455 - 10/91. What is the common denominator of v and 61/3?
15
Calculate the common denominator of (-3)/((-300)/(-665)) - -1 and (-2)/3 - 364/264.
220
Let x = 5160 - 423135/82. Let s = 257601 - 116176718/451. Let l = s + x. Calculate the common denominator of 87/22 and l.
22
Suppose 0 - 4 = -m. Let a be 2/8 + 15/m. Suppose -r + 0*l + a = -2*l, -38 = -5*r + l. What is the lowest common multiple of 18 and r?
72
Let v = -729 - -745. Calculate the lowest common multiple of (-2)/(16/(-22))*8 and v.
176
Let g = -2225 - -13481/6. What is the common denominator of (-558)/(-416) - 8/52 and g?
48
Suppose 3*o + 18 = 6*o + 3*z, -5*z - 15 = 0. Suppose 2*x - 8 = 2*r, -5*x + 4*r = -2*x - o. What is the least common multiple of 7 and x?
7
Let i be 196156/17640 + 4/(-10). Let p = i + -920/49. Find the common denominator of p and 83/16.
144
Suppose 0 = 2*b - 7*b - 30. Let q = b + 16. Suppose 2*y + x = 5*y - 13, -2*y + 2 = -2*x. What is the lowest common multiple of q and y?
30
Let y(j) = -j**2 - j + 2. Let w be y(0). Let d be (-476)/16 + w/(-1). Let n = d - -869/28. What is the common denominator of 42/11 and n?
77
Let f(i) = 7*i**2 + 4*i - 2. What is the lowest common multiple of 8 and f(-2)?
72
Calculate the common denominator of -4 + (-311)/(-35) - 6/10 and 19/27.
189
Let o = 9 - 8. Let g = 5 + o. What is the least common multiple of 12 and g?
12
What is the smallest common multiple of 7 and -2*((-9)/2 + 1)?
7
Let n = -47499/62689 + 2/17097. Calculate the common denominator of 44/15 and n.
165
Find the common denominator of -79/30 and 3/(-1) + (161/24 - -1).
120
Let f = 29 - 25. Calculate the smallest common multiple of 12 and f.
12
Let c be ((-7187)/30)/((-2)/57). Suppose -10 = 2*r - 0*r, 2*i - 13623 = -5*r. Let p = i - c. What is the common denominator of p and -19/6?
60
Suppose 0*h - 4*h + 68 = 0. What is the least common multiple of h and 8?
136
Let j(r) = -r**2 - 16*r - 10. Calculate the lowest common multiple of 8 and j(-14).
72
Let o(f) = -f**2 - 10*f + 5. Let n(r) = 1. Let j(a) = 5*n(a) + o(a). What is the least common multiple of j(-10) and 22?
110
Let u = -7 - -12. What is the smallest common multiple of 2 and u?
10
Let s be 40049/(-2028) + -2 + 1. Let d = -1/507 + s. Calculate the common denominator of d and 43/16.
16
Let b(g) = 3*g - 1. Let y be b(-1). Calculate the least common multiple of (-36)/2*(-1)/2 and y/8*-6*1.
9
Suppose 4*r - 5*p - 4 = -1, -2*p - 2 = -2*r. What is the lowest common multiple of 1 and r?
2
Let y = -1639 - -16513/10. Find the common denominator of y and (-34)/16 + (-2)/8.
40
Let m = -6991/772 + -16/579. What is the common denominator of m and 61/4?
12
Let c be -4 + 2 + 0/1. Let v be c/(-2 + (-12)/(-9)). Suppose -y + 5*u - 1 = 0, 44 - 2 = 4*y + v*u. What is the lowest common multiple of y and 4?
36
Suppose 0 = 4*a - 5 - 15. Let i = a + 0. Calculate the smallest common multiple of 2 and i.
10
Calculate the lowest common multiple of (-40)/15*3/(-4) and 2.
2
Let l(x) = -647*x + 2. Let w be l(5). Let h = w - -38839/12. What is the common denominator of h and 37/20?
60
Let i = 0 - 2. Find the common denominator of 101/10 and (-99)/i - (-1)/1.
10
What is the lowest common multiple of ((-1)/(-2))/((-2)/(-44)) and 1?
11
Suppose 11 + 3 = 7*a. Calculate the least common multiple of a and -1 - (2*-1 + -3).
4
Let g = -85/2646 - 12311413/13230. Let o = 940 + g. Find the common denominator of -101/10 and o.
10
Let g = 11280 + -248213/22. Calculate the common denominator of 46/5 and g.
110
Let m(j) = j + 8. Let y be m(-8). Let v(n) = n**2 + 18. Calculate the smallest common multiple of 16 and v(y).
144
Let k = -45 + 49. Calculate the smallest common multiple of k and 34.
68
Let m = 80 - 40. What is the least common multiple of m and 36?
360
Suppose 3*x + 96 = 9*x. Suppose -2*q + 4*q = -4. Let g = 8 - q. Calculate the smallest common multiple of g and x.
80
Suppose 60 = 4*o - 2*q, 76 = 2*o + 3*o - 3*q. Calculate the least common multiple of 76 and o.
532
Let f be 12/(-8)*13178/(-180). Let u = 332/3 - f. Calculate the common denominator of u and 73/2.
20
Suppose 98 = 5*r + v - 6, -5*v + 20 = 0. Suppose -2*y = 2*z - 6, y + 4*z - r = 5*y. Find the common denominator of -1/6 and ((-279)/30)/(y/(-1)).
30
Let h(g) = -g - 10. What is the least common multiple of 6 and h(-11)?
6
Let f = -20 + 13. Let y be -2 + f + -1 + 1. Calculate the common denominator of 7/12 and (46 + 7)/(1 - y).
60
Let j = -1241/2255 + 1/205. Calculate the common denominator of 41/4 and j.
44
Let c = -224 + 56. What is the common denominator of 44/7 and (c/(-90))/(1/(-3))?
35
Suppose 0 = -w - 2*w - 24. Let y = 28 + w. Calculate the least common multiple of 16 and y.
80
Let h = 40/959 - -126827/17262. Calculate the common denominator of h and -2 + (290/(-28))/5.
126
Suppose 0*g - 4*g = 168. Let y be (-8)/(-12)*g/(-4). Suppose -2*h = 3*a - y*h - 26, -2*a - h = -13. Calculate the smallest common multiple of a and 10.
70
Let x = 8/82909 - 387394/2296330573. Let r = -3462101/332364 + x. What is the common denominator of r and -71/2?
12
Suppose -11 = -9*i + 8*i. Let d be (-4)/(-10) + 24/15. Let p = d - -2. What is the least common multiple of p and i?
44
Let r = -151 - -295/2. Let i be ((-1751)/4)/(16/(-128)). Let b = i - 34981/10. Calculate the common denominator of b and r.
10
Suppose 4*k - 3 = 1. Calculate the least common multiple of k and (7/4)/((-4)/(-16)).
7
What is the smallest common multiple of (-62)/(-8) + (-5 - 17/(-4)) and 17?
119
Let d(p) = -p - 2. Let t(x) = x**3 + 3*x**2 - 7*x - 6. Let m be t(-4). Let i be d(m). Let y = i + 10. What is the lowest common multiple of y and 10?
10
Let h = -26555/6 - -4410. Find the common denominator of h and 75/16.
48
Suppose 11*w - 32 - 34 = 0. Suppose -32 - 34 = -3*z. What is the lowest common multiple of w and z?
66
Suppose 0 = -5*b + 2 - 22. Let w = 16 + b. Calculate the lowest common multiple of 32/((-2)/(-1)) - 0 and w.
48
Suppose 0 = f - 3 + 2. Calculate the smallest common multiple of 4/2 - (2 + 7 + -14) and f.
7
Let a = -1405 - -5705/4. Calculate the common denominator of a and 43/7.
28
Suppose -y = -4*y + 12, -3*l - 5*y = -38. Let n be 710/2112 - 2/l. Let b = n + -12853/1760. What is the common denominator of b and -1/10?
10
What is the common denominator of 20/12*(-1)/2 and -67/33?
66
Suppose -m + 2*m - 6 = 0. Let q(z) = z**2 - 7*z + 7. What is the smallest commo