
72
Suppose 0*f + 4*f = -3*i + 16, -5*i + f = 4. Let g = i + -1. Calculate the smallest common multiple of (-2)/5*(g - 24) and 10.
10
Let n(y) = y**3 + 6*y**2 + 7*y - 2. Suppose 4*d = -d + 10. Suppose -2*b - d*b = -88. What is the smallest common multiple of b and n(-3)?
44
Let n be 3 - ((-184802)/20 + -3). Let f = n - 9255. Find the common denominator of f and -17/5.
10
Let g be 24/18*(-8 + -1). What is the lowest common multiple of g/9*15/(-2) and 7?
70
Let t(m) = 3*m + 58*m**3 - 1 + 3*m - 4*m. Let y be t(1). Suppose 0*v + 3*v = -4*j + y, -2*j = 3*v - 37. Calculate the smallest common multiple of 10 and j.
110
Suppose -3*p + 171 = 2*j, 4*p + 416 = 5*j - 0*p. Find the common denominator of 46 and (-2)/(-6) - 316/j.
7
Let j = -28733/18 - -1597. Let l = 87391/23454 + -5/1303. Find the common denominator of l and j.
18
Let n be 130/8 - 2/8. Suppose 7*q - n = 3*q. Calculate the lowest common multiple of (-1)/(2 + 69/(-33)) and q.
44
Let a = -6847/1155 + 164/35. Calculate the common denominator of a and -23/4.
132
Let l(u) = -2 - u**2 + 1 + 5 + 5*u. Calculate the smallest common multiple of l(5) and (-20)/4 + 2 + 25.
44
Let k(p) = -p**3 + 6*p**2 - 3*p - 7. Let m be k(5). Suppose m*a - 5*g + 8*g = -120, 4*g = -20. Calculate the common denominator of a and ((-202)/(-36))/(1/3).
6
Calculate the common denominator of (-155)/15*(-9)/2 and -93/14.
14
Let m = -8 - -12. Let c = 4010 + -15955/4. What is the common denominator of -1 + m + 55/8 and c?
8
Let f(y) = -y**2 - y + 3. Let g be f(0). Let x(t) = -2*t**3 - g*t + t - 3 + 3*t**3 - 3 + 6*t**2. What is the lowest common multiple of 3 and x(-6)?
6
Let a(o) = -o + 9. Suppose 30 = 4*h - 2. What is the least common multiple of h and a(4)?
40
Let x = -149/4 - -14. Calculate the common denominator of -4/15 and x.
60
Let g = -15669/10 - -1572. Let v = 103721/11064 + 1/2766. Calculate the common denominator of g and v.
40
What is the common denominator of 2 + ((-1130)/516 - (-13)/39) and 75/14?
1806
Let h = 17 + -11. Let l = -2 - -5. Calculate the least common multiple of h and (2 + -3)*-9 - l.
6
Suppose -3*w - 9 = -3*t, -t - 3*w = -6*w + 3. Calculate the smallest common multiple of t and 8.
24
Let s be (8/20)/((-2)/(-10)). Suppose 4*p - s = 2*p. Calculate the smallest common multiple of 9 and p.
9
Let g = -5121/14 + 367. Calculate the common denominator of g and -97/2.
14
Calculate the smallest common multiple of 15 and ((-8)/((-200)/165))/(2/10).
165
What is the common denominator of 30/(-45) + 122/(-36) and 77/12?
36
Suppose o = -0*o + 16. What is the lowest common multiple of 20 and o?
80
Let w = 2 + -2. Suppose -m - 2 = -3*b, -3*m + w + 4 = -4*b. Calculate the least common multiple of m and 3.
12
Let n = 563829696059 - 867823484457. Let t = n + 30800042652467135/101318. Let z = t + -2/7237. Find the common denominator of z and 43/20.
140
Find the common denominator of (-910)/(-330) + (-4)/6 and -33/5.
55
What is the common denominator of (-1626)/(-140) + 4/14 and 128/(-56) + 2 - 138/28?
70
Let w(y) = -y + 12. What is the lowest common multiple of 10 and w(-6)?
90
Suppose 5*y + 33 - 3 = 0. Suppose -5*t + 0*t + 3*w = 6, 0 = 5*t + w - 2. Let f = t - y. Calculate the lowest common multiple of f and 10.
30
Suppose -1 = m - 4. Suppose -5*k - 10 = -2*r - 3*k, -m*k + 1 = r. Calculate the smallest common multiple of 14 and r.
28
Let i(j) = 21*j**3 + 3*j - 2. What is the smallest common multiple of i(1) and 26?
286
Let r be 4467/(-999) - (-1)/3. Let a = -38/37 - r. Find the common denominator of a and 47/8.
72
Suppose -3*a + 8*a = 3*n + 39, 3*n + 21 = 3*a. Find the common denominator of -50/3 and ((-4)/a)/(7/210).
3
Suppose 2*m + 6 = -3*b + 45, 0 = -4*m - b + 93. Find the common denominator of (-4)/(-10)*195/(-12) and (m/42)/((-1)/13).
14
Let l(w) = -w**2 + 8*w. Let s be l(6). Let p = 2289/4 - 566. What is the common denominator of p and (-64)/s*6/10?
20
Let n be (-2 - -8) + 3 - 0. Suppose 2*j - 92 = s - 6*s, -2*j - 88 = -4*s. What is the smallest common multiple of (-3)/(n/120*-2) and s?
20
Suppose 5*x - 2*x + 3*o - 297 = 0, -5*x + 498 = 4*o. Suppose 5*u - x = 8. What is the lowest common multiple of 18 and u?
198
Let i = 1/1541 + 81669/6164. What is the common denominator of ((-2)/(-35))/((-8)/(-370)) and i?
28
Let i(s) = -520897*s + 1. Let j be i(-1). Let m = j + -3652442/7. Let u = m + 876. What is the common denominator of 42/5 and u?
35
Suppose 8 = 2*k + o + 3, 3*o = -4*k + 9. Calculate the least common multiple of 15 and k.
15
Let t be (-44)/(-10) - 4/10. Suppose -18 = -t*b - 6. Suppose -b*j = -7*j + 36. What is the lowest common multiple of j and 3?
9
Suppose q + 151 = 5*t - 129, -2*t + 5*q + 135 = 0. Suppose 4*a = b + 14, -t = -5*b + 4*a - 9*a. Calculate the lowest common multiple of b and 4.
12
Let r(g) = g**3 + 7*g**2 - 10*g - 4. What is the smallest common multiple of r(-8) and 4?
12
Let d be 11/4 - (-1)/4. Suppose -5*n + 2*l + 11 = -2*n, -d*l + 1 = -n. Calculate the lowest common multiple of 10 and n.
10
Suppose k = -3*z + 2 - 39, -45 = 4*z - 3*k. What is the least common multiple of 14 and (-4)/24*4*z?
56
Let l = 58253/22 + -2650. Find the common denominator of 2/48*75/2 and l.
176
Suppose -7*u = -2*u - 99085240. Let q = -11493865571/580 + u. Let x = 1170/29 - q. Calculate the common denominator of x and 83/22.
220
Suppose 2*z = k + 5, -40 = -4*k + k - 5*z. Calculate the least common multiple of k and 1.
5
Let q(b) = -b**2 - 10*b - 7. Suppose -5*g + 7 = -3. Calculate the lowest common multiple of q(-8) and g.
18
Suppose a - n + 4*n = 1895, 2*a - 3*n - 3808 = 0. Let q be 411177/216 - 2/9. Let r = a - q. What is the common denominator of r and 81/22?
88
Let c be (-1678)/1626 - (2 - 3). Let i = -22931/3252 + c. Find the common denominator of -67/4 and i.
12
Suppose 2 = -2*h + 10. Suppose h*l + 2*z + 2 = 0, 0*l + 4*l - 16 = 4*z. What is the lowest common multiple of 2 and l?
2
Suppose -o + 0 + 4 = 0. Let n be 194/o - 1/2. Find the common denominator of -101/18 and 2/(-6) - (-58)/n.
72
Let m be (30/25)/(2/5). Suppose 2*t = -m*t + 65. Let w = 20 - t. Calculate the lowest common multiple of 8 and w.
56
What is the common denominator of (-265)/90*6/8 and -7/22?
264
What is the common denominator of 2/(-16)*(-6424)/1078 and -65/16?
784
Let n = 17 - 9. Calculate the smallest common multiple of n and 8.
8
Let y = 26449/8 + -3294. What is the common denominator of -41/24 and y?
24
Let v = -8455/1252 + 1/313. Calculate the common denominator of (3/(9/62))/12 and v.
36
Let b(y) = y**2 + 2*y - 4. Suppose 3 = -5*u - 2. What is the smallest common multiple of b(-4) and (-2)/u + (-1 - -17)?
36
Let y = -4 - -7. Suppose -4*x = -12, 0 = -y*o - 2*x - 2*x - 8916. Let f = 35743/12 + o. Calculate the common denominator of -55/8 and f.
24
Let p be (-396)/15 - 4/(-10). Let m = p - -46. What is the least common multiple of -3*(-1)/(-4)*-16 and m?
60
Calculate the least common multiple of (-4 - -16)/(4/6) and 30.
90
Let w be (-1 - -6)/(8 + -7). Suppose 0 = -2*b + 5 + w. Calculate the smallest common multiple of 9 and b.
45
Calculate the smallest common multiple of (-1458)/(-10) + (-2)/(-10) and 10.
730
Let y = 63339/14 + -4516. What is the common denominator of -1*2*(-106)/56 and y?
14
Let v(q) = -q**3 + 4*q**2 + q - 2. Let n be (2/(-3))/(4/(-24)). What is the lowest common multiple of 20 and v(n)?
20
Let c = -1805 + 12665/7. Find the common denominator of (52/8)/((-4)/1) and c.
56
Let u = -4 + 0. Let k = 41321/12 + -3451. Calculate the common denominator of k and 91/(-66) - u/(-6).
132
Let s = -16 - -22. Let i(j) = -5 + 5*j + 2*j - 5*j. Calculate the least common multiple of i(s) and 3.
21
What is the least common multiple of 12 and (-7)/(14/4) + (-2 - -14)?
60
Let p = -997/3390 + -2/339. Calculate the common denominator of 11/9 and p.
90
Find the common denominator of -115/6 and 23/((-3)/(24/(-20))).
30
Suppose 3*z - 6 + 24 = 0. Find the common denominator of 42/(-16) + z + 3 and -143/6.
24
Suppose -3*b - 5 = -17. Calculate the common denominator of -36 + (0 - (-2)/b) and 55/16.
16
Suppose -3*j + 9 = 3*q - 0*j, -3*q = -2*j - 14. Suppose -5*t + 189 = -q*w, 3*w + 133 = 2*t - 0*t. Calculate the common denominator of 2/7 + 2/7 and w.
7
Suppose -4*x + 14 = -x + 5*y, 5 = -y. Let s = 5 - x. Find the common denominator of -77/20 and