72
Find the common denominator of 1 + (-2)/(24/222) and -13/138.
138
Suppose 5*j + 11 = 2*b, 0*j - 2 = 2*j. Suppose o = 5*o - 36. What is the least common multiple of o and b?
9
Suppose 5*o + 11 + 4 = -c, o - 21 = c. What is the smallest common multiple of (-24)/c - (-1)/(-5) and 1?
1
Suppose 4 = 5*i - 1. Let a be 2/4 + i/(-2). Find the common denominator of 113/18 and a - ((-58)/32 - 1).
144
Let g = 68 - 56. What is the smallest common multiple of g and 8?
24
Suppose c = 4*f - f + 5, 5*c = 5*f + 15. Suppose s + 16 = 3*s. Calculate the lowest common multiple of s and c.
8
Let l = 71433/10 - 7136. Let c = 3469/16 + -216. Calculate the common denominator of c and l.
80
Let j = 7 - 17. What is the common denominator of 45/4 and 155/j + (-6)/8?
4
Let z = 4/237 - 16441/5214. Calculate the common denominator of -19/2 and z.
22
Let t = -472 + 298. What is the common denominator of 0 + (-3)/48*t and -68/3?
24
Suppose 87 = 2*m - 75. Let g = 5203 - 52081/10. Find the common denominator of g and m/20*2/(-3).
10
Suppose -2*x - n = -224, 0*x - 4*x + 460 = 5*n. Suppose 3*m = -2*m + x. Calculate the least common multiple of m and 20.
220
Let s(t) = -4 + 0 - t + 2*t + 3. Let n be s(4). Suppose 0 = -0*p - 2*p - 3*v + 18, -2*p = -n*v - 6. What is the least common multiple of p and 5?
30
What is the common denominator of (-99)/12*(-16)/90 and 25/33?
165
Let l(h) = 6*h + 3. Calculate the smallest common multiple of 33 and l(5).
33
Suppose 4*g - 10 - 10 = 0. Suppose 8*p - 3*p = g*z + 70, 2*p = -3*z + 8. What is the lowest common multiple of p and 3?
30
Let q = 37627/6 + -6252. What is the common denominator of 34/15 and q?
30
Let r(j) = j**2 - 2*j + 12. What is the smallest common multiple of 8 and r(4)?
40
Let i(k) be the third derivative of -k**4/24 + 3*k**3/2 + 2*k**2. Let p = -5 + 9. Calculate the smallest common multiple of i(0) and p.
36
Suppose -4*f + 7 = a, 4*a = 4*f - a - 37. Let j(z) = -3 + 4*z**f - 5*z**3 - 4*z - 2*z - 6*z**2. Calculate the least common multiple of 10 and j(-5).
10
What is the common denominator of 78/32 - 2*-1 and (-54)/204 - -1*(-2)/(-2)?
272
What is the common denominator of (-16)/6*(-17)/4 and 7/5*(-2 + 17)?
3
Let u = 2/2913 + -65069/17478. Calculate the common denominator of -5/28 and u.
252
Let w = 2/27845 - -1364351/751815. Calculate the common denominator of -32/21 and w.
189
Let u = -3 - -1. Calculate the smallest common multiple of (0 + -8)/u*5 and 4.
20
Let l(p) = -4*p - 5. Let n be l(-5). What is the common denominator of -32/11 and ((-1605)/20)/(n/(-2))?
110
What is the common denominator of 36/11 and -1*(-74)/7 + -3?
77
Let p = -1/46393 + -815960073/510323. Let d = p + 1597. Suppose 20 = 4*y, 4*y = -3*r + r + 10. What is the common denominator of d and r?
11
Find the common denominator of 3/(-12) - 250/(-72) and (-46)/(-3)*(-5 + (-1090)/(-200)).
90
Let o = 7 + -5. Suppose -72 = -6*n + o*n. Calculate the least common multiple of 10 and n.
90
Let h(j) = -130*j + 1. Let t be h(-1). Suppose 0 = -3*q - 4*u + 44, 4*q - 2*u + 43 - t = 0. What is the smallest common multiple of q and 2?
20
Let s = 1020/13 - 5633/65. Find the common denominator of -14/11 and s.
55
Let r(d) = -70*d**2 + 10*d + 9. Let h be r(-8). Let s = 41002/9 + h. What is the common denominator of 25/7 and s?
63
Let t(q) = -2*q - 2. Let i be t(-3). Suppose -4*l + 2*n - i*n = -38, 0 = l - n - 5. What is the least common multiple of l and 22?
88
Let b = -283/12 - -73/3. Find the common denominator of -67/24 and b.
24
Suppose 241 - 256 = -5*f. What is the smallest common multiple of 8/6*9/2 and f?
6
Suppose -3*i - 22 - 13 = -g, 3*i = -15. Let p(o) = 6*o - 4. What is the least common multiple of g and p(4)?
20
Let h = 6/85 - -104/935. What is the common denominator of -113/6 and h?
66
Suppose -3*f + 6*f = 0. Let h = 10 + f. Let y = -14 + 26. Calculate the lowest common multiple of h and y.
60
Let r = 21 + -11. Calculate the lowest common multiple of -1*(-3 - 2)/(-5)*-18 and r.
90
Find the common denominator of 6/8 - (-570)/(-552) and 55/12.
276
Let r(j) = j - 3. Let f be r(5). Let o = -2 + f. Calculate the smallest common multiple of 10 and 40/4 - o/(-1).
10
Let o = -30445/112 + 1933/7. Calculate the common denominator of o and 99/16.
16
Suppose -15*x = -12*x - 18. What is the least common multiple of x and 1?
6
Let a be (4 - -7) + (-2)/(-2). Let h be 1 + a/3 - 1. Suppose h*g + 1 = 5. What is the smallest common multiple of g and 2?
2
Let b(w) = 6*w. Let a be b(1). Let g(m) = -2*m**3 + 7*m**2 + 3*m - 4. Let o be g(a). What is the least common multiple of 8/(-36) + o/(-18) and 8?
72
Suppose 3*s + 2 - 11 = 0. Let j(x) = -2*x - 4. Calculate the lowest common multiple of j(-6) and s + -4 - 13*-1.
24
Let q(g) = -388*g - 10. Let k be q(6). Let w = k - -32707/14. Calculate the common denominator of w and 51/20.
140
Let f be (-29181)/(-1710) + (-4)/(-10). Let y = f - 50/19. What is the common denominator of y and 12/8*(-19)/(-4)?
24
Let l = 29/31 + -3297/310. Let h = -111457 - -1056277991/9477. Let m = h - 110573/37908. Find the common denominator of m and l.
60
Let v = 11 + -27. Find the common denominator of v and 0 + (-65)/6 + 0.
6
Suppose -j + 28 + 26 = 0. Let m = 79 - j. Suppose -5*v - m + 125 = 0. Calculate the smallest common multiple of 12 and v.
60
Let m be (-10)/5 - (-4 + -1). Suppose 0 = -x - 2*k + 4, 0 = -m*k + 2 + 1. Calculate the lowest common multiple of x and 5.
10
Let m(j) = j**3 - 4*j**2 + 2*j + 4. What is the smallest common multiple of m(3) and 4?
4
Calculate the least common multiple of 7 and (-30)/4*(-20)/15.
70
Suppose 0 = g - 2*g - 426. Let t = -2138/5 - g. Calculate the common denominator of -4 - 29*15/(-35) and t.
35
Let d be ((-1)/2*0)/(-3). Calculate the least common multiple of 10 and 2 + d + -2 + 7.
70
Let l = 4 + 16. Suppose 5*d + 4 = 2*p - 11, -5*d - l = -3*p. Let g(c) = -c + 1. Calculate the smallest common multiple of g(d) and 20.
20
Let l(z) = z - 2. Let y = 3 + -1. Suppose 2*w = -4*b - y*w + 12, -2*b + w + 15 = 0. What is the smallest common multiple of b and l(6)?
12
Let l = 49 + -37. Calculate the lowest common multiple of 11 and l.
132
Let r = 18 - 6. Calculate the smallest common multiple of r and (-36)/21*(-63)/6.
36
Suppose 0 = -2*h + 3*h - 3. Suppose b - h*j = -4*b + 33, 2*b - 4*j = 16. What is the least common multiple of b and 10?
30
Suppose -4*i = 2 - 10. Calculate the lowest common multiple of i and 7.
14
Suppose 4*b - 11 - 9 = 0. Suppose -27 = -4*p - 3*g, b*g + 3 = -p + g. Calculate the lowest common multiple of p and 3.
9
Let h = -3407 + 1981. Let g be (h/10)/((-2)/(-4)). Let y = g + 282. Find the common denominator of -65/3 and y.
15
Let b be 39532/(-1752) - 1/(-4). Let j = -14/219 - b. Find the common denominator of 61/16 and j.
16
Suppose h + 149 = -1245. Let r = 2407 - 9699/4. Find the common denominator of h/360 - (-2)/9 and r.
20
Suppose z - 4*i = -15, 2*z - i = 7*z + 138. Let t = 41 + z. Calculate the least common multiple of t and 6.
42
Find the common denominator of (63/(-28))/(4 - 1) and 47/2.
4
Let p(v) be the second derivative of -v**3/6 + 11*v**2 + 3*v. What is the smallest common multiple of 16 and p(0)?
176
Let a = 107/63 + -77/9. Calculate the common denominator of (26/8)/((-21)/12) and a.
7
Let g = -7084 + 70953/10. Let h = 4/4653129 + 2716910271/58939634. Let k = -80/57 - h. Calculate the common denominator of g and k.
10
Let m = 3 + -5. What is the common denominator of (-1)/(-5) - 2456/(-720) and 2/16*m*-162?
18
Let m = -55144/6545 - 3/935. Calculate the common denominator of m and (-164)/(-6)*(-3)/12.
42
Let w = -3 - -5. Suppose -c + 2*c - 1 = 0, -2*g - 2*c = 12. Let v = g - -13. Calculate the smallest common multiple of w and v.
6
Let n = 230/3 - 76. What is the common denominator of 41/6 and n?
6
Suppose 11 = 4*u - 5. Let a be 512/30 - (u - 6). Let b = -87/5 + a. What is the common denominator of 33/7 and b?
21
Suppose -a = -2*a - 3*i - 7, 0 = -2*i - 6. Calculate the lowest common multiple of a and 8.
8
Let z = -5 - -15. What is the common denominator of (28/16)/(1/z) and 93/8?
8
Suppose -5*t = -7 + 2. Calculate the common denominator of (-539)/(-63) + -2*t and 1 + (570/8)/5.
36
Suppose 0 = -5*a + 5*n + 50, 3*a = -4*n + n + 6. Find the common denominator of 41/10 and ((-38)/36)/(2/a).
30
Let s(j) = -