common multiple of 106 and q.
1166
Let o be 584/24 - (-1)/(-3). Suppose 5*q + 2*t - 3*t = 50, -3*t = -q + o. Calculate the lowest common multiple of 6 and q.
18
Let c(h) = 3*h - 10. Let k be c(9). Suppose -5*v - k = 4*l - 44, 3*l - v = 6. Suppose l*j - 144 = -3*j. What is the least common multiple of j and 12?
24
Suppose 11*c - 1520 = -8*c. What is the smallest common multiple of c and 30?
240
Suppose 3*r - 1529 + 3950 = 0. Let x = r + 6371/8. What is the common denominator of x and 1/54?
216
Suppose p + 4*g + 48 = 0, -5*p - 62 = -5*g + 128. Calculate the common denominator of 0 - -1 - 41/(-38) and 0 + 4 + (3564/p)/9.
190
Let a(m) = -m**2 - 8*m - 13. Let x be a(-5). Let q = 39979/16 - 2501. Find the common denominator of x/(-48)*(-15 - -101) and q.
48
Suppose b - 31 = -3*b + 3*r, 37 = 3*b - 5*r. Let l(a) = 0*a + 6*a**3 + 2*a**2 - 1 - 7*a**3 + b*a. Calculate the smallest common multiple of l(3) and 4.
4
Let m = -10041 + 10042. Suppose -4*h + 6*k - 3*k + 1 = 0, -k = 4*h - 5. Calculate the lowest common multiple of h and m.
1
Let l(f) = -23*f + 301. What is the smallest common multiple of 78 and l(11)?
624
Let c = -3175 - -253959/80. What is the common denominator of c and -23/8?
80
Let i be 81/12 - (3 + 27/(-12)). Suppose -k + i*k + 4 = q, -2*q + 8 = -5*k. What is the lowest common multiple of 26 and q?
52
Let c = -11146/5 - -200143/90. Suppose 2*a + 4*b = -2*a - 8, -3*a = 2*b + 2. Calculate the common denominator of (a/(-3))/(40/(-309)) and c.
180
Let q(h) = 85*h**3 - 2*h + 3. Let s be q(-3). Find the common denominator of -57/2 and ((-36)/(-15) - 2) + s/240.
8
Let z = 189887/80 - 2374. Calculate the common denominator of 101/100 and z.
400
Suppose 65*b = -x + 61*b + 57, -4*x - b = -183. Calculate the least common multiple of x and 55.
495
Let j = 32108/27 + -1189. Calculate the common denominator of -43/18 and j.
54
Suppose -4*z + 2*w + 18 = -z, 0 = -4*w - 12. What is the smallest common multiple of 30 and z?
60
Calculate the common denominator of (-5)/(-440)*(-970)/(-5) and 1/24.
264
What is the common denominator of -37/6 and (-903)/(-180) - (-77)/55?
12
Let v = 183/49 - 26/7. Find the common denominator of 51/56 and v.
392
Let h(j) = -j**3 + 8*j**2 - 7*j - 8. Suppose 2*x + 2*u = 4, 0 = -4*x - 2*u + 13 + 3. What is the smallest common multiple of h(x) and 52?
572
Suppose -20 = -5*r, -5*r - 233964 + 830528 = -3*c. Let m = c + 591103/3. Let h = -3671/2 - m. Calculate the common denominator of h and 33/10.
30
Suppose -148*j + 147*j + 252 = 0. Calculate the smallest common multiple of 28 and j.
252
Let o(i) = -272*i - 6. What is the least common multiple of 190 and o(-1)?
1330
Suppose 3*k - 27 = 21. Suppose 2*x = 6*x + k. Let g(s) = s**2 + 2*s + 2. Calculate the lowest common multiple of 9 and g(x).
90
Suppose q - 3*s - 63 = 0, -3*q - 5*s = -s - 124. Calculate the common denominator of (-262)/24 + (-4 - -6) and q.
12
Suppose 24*r = 26*r - 12. Calculate the smallest common multiple of r and 38.
114
Let j be -1*2/(-4)*-18. Let a be (24/2)/(6/(-4)). Let d = a - j. What is the smallest common multiple of d and 4?
4
Let o be 6/(-8)*(1 + 516/(-18)). Let r = 429/20 - o. What is the common denominator of r and 73/14?
70
Suppose -65 = -7*w + 2*w - 5*i, 2*w - 5*i - 33 = 0. Calculate the least common multiple of 10 and w.
70
Suppose -n + 0*n + 52 = 0. What is the smallest common multiple of (n - 1) + (-21)/(-7) and 2?
54
Let u = -1956/31 - -42325/744. What is the common denominator of -117/14 and u?
168
Suppose -3*a = 0, 0 = -5*o + 5*a - 3 - 57. Find the common denominator of (-266)/264 - (1 - 5)/o and 59/8.
88
Let w = -1901/21 + 88. Find the common denominator of w and -58/75.
525
Let w be 1*(-3 - -3)/(-3). Let x = 4 + w. Suppose 0 = -2*g + 4*g - x. Calculate the smallest common multiple of 11 and g.
22
Let k(w) = -3*w + 148. Let v(l) = -2*l + 73. Let c(x) = 6*k(x) - 11*v(x). What is the lowest common multiple of ((-2)/1)/(2/(-4)) and c(-19)?
36
Let n = -667 + 4643/7. Let f = -24/42595 - 467558787/11585840. Let a = 770/17 + f. Calculate the common denominator of n and a.
112
Let q(v) = 7*v**2 + 6*v + 119 - 2*v**3 + 6*v - 6*v**2 - 10*v. Calculate the smallest common multiple of 3 and q(0).
357
Suppose -r - n = 2*r - 94, -5*r + 5*n = -130. Suppose -3*h - 6*h = -18. Calculate the least common multiple of r/9*24/10 and h.
8
Find the common denominator of 1/5 + (185/(-150))/((-5)/(-5)) and ((-786)/(-8))/((-27)/2).
90
Let c(a) = -6*a - 8. Suppose 14*g - 136 = 88. What is the smallest common multiple of g and c(-5)?
176
Let z(j) = 2*j**3 + j**2 + j - 1. Let w be z(1). Suppose -i = -w*i + 1540. What is the common denominator of i/33*1/(-2) and -113/10?
30
Suppose -w - 3*d = 1174, 3*d = 2*w + w + 3486. Let b = 56307/2 + -29297. Let y = b - w. Find the common denominator of 59/7 and y.
14
Suppose -94*a = 2*j - 93*a - 85, j = 5*a + 59. Calculate the least common multiple of j and 116.
1276
What is the common denominator of -83/126 and (-76941)/996*(1 + 58/(-54))?
126
Calculate the common denominator of (-1 - (-67)/30)/((-2016)/(-576)) and -77/18.
630
Suppose 80 = 6*q + 26. What is the lowest common multiple of (-2 - (-29)/3)*(-9 + 12) and q?
207
Let k(y) = -2*y**2 - 4*y - 3. Let o be k(-3). Let r(h) = 12*h**3 + h**2 - 6*h + 5. Let j be r(1). Find the common denominator of ((-131)/j)/(o/(-6)) and -46/7.
126
Let r be 7/(147/6) - 88/14. Calculate the common denominator of 71/2 and (-4 + 135/r)*2/8.
8
Let j be 2319/(-10) - (-3)/2. Let v = -4862 - -9279/2. Let w = j - v. What is the common denominator of w and 55/14?
70
Let j be ((-15)/(-10))/((-660)/4462). Let i be -1 + 1/(44/422). Let g = i + j. Calculate the common denominator of 85/14 and g.
140
Let i = -73892 - -8866961/120. Find the common denominator of i and -167/240.
240
Let g = 30 - 28. Let l(h) = 22 + 12*h**2 - 4 - 14*h - h**3 + g*h**2. Calculate the least common multiple of l(13) and 25.
25
Let m = -137937/2 - -1782645/26. Let x = 125275/312 + m. Find the common denominator of x and -67/18.
72
Suppose 4*k - 4 = 4*q, k + 2*q + 0*q - 13 = 0. Suppose -p + 39 = 3*a, 2*a - 12 = k*p - p. What is the least common multiple of 2 and a?
12
Let r(d) = -d**3 - 5*d**2 - 24*d + 42. What is the lowest common multiple of 5 and r(-11)?
5160
Let v(m) = 2*m**2 - 5*m - 4. Let l be v(-4). What is the common denominator of -99/8 and l/(-112) + (-397)/70?
40
Let u be (-3)/4 + (-86)/(-8). Let q = u + -8. Calculate the least common multiple of 8 and q.
8
Let b(l) = 3 - 4*l - l**3 - 6 - 2*l**2 + 2. Suppose -2*j - 6 = 4*d - 3*d, 28 = 4*d - 5*j. Calculate the lowest common multiple of b(-3) and d.
20
Suppose -111*c - 56 = -112*c. Let v = -52 + c. What is the smallest common multiple of 4 and v?
4
Let r be ((-10190)/15)/((-48)/(-261)). Let k(w) = 1234*w + 1. Let y be k(-3). Let p = y - r. Find the common denominator of -39/7 and p.
56
Let n be ((-8)/28)/((-1)/7). Suppose -5*g - n*i = -g + 43414, g = 3*i - 10864. Let t = g - -108463/10. What is the common denominator of t and 65/3?
30
Let v = -17 + 21. Let s be 4 - (3 + 0) - -1. Suppose -26 = -v*x + s*i + 28, -i = -5. Calculate the lowest common multiple of x and 6.
48
Let s(t) = 6 + 33*t + 2 - 11. Let f be s(-1). Find the common denominator of f/120 - 1*2 and -27/16.
80
Let t be (2 - -1)*20/15. Suppose 5*l - 118 = t*p, 4*l + 3*p = -l + 104. Calculate the smallest common multiple of l and 10.
110
Suppose -2*d - 3*r + 5 = 0, 3*r = 5*d - 0*d - 65. Suppose 24*j + 18 = 210. Calculate the lowest common multiple of j and d.
40
Let d = -2781 + 36134/13. Calculate the common denominator of 12/3 + 16/(-6) and d.
39
Let j(a) = a**2 - 9*a - 11. Let u be j(10). What is the lowest common multiple of (-40)/6*(0 + -3) and (1 - (7 + 0))/u?
60
Let g = 101 + -54. Let x = g - 44. Calculate the least common multiple of x and 10.
30
Let g(r) = r**3 + 8*r**2 - 5*r - 16. Suppose 0*y = -5*y - 40. What is the smallest common multiple of g(y) and 20?
120
Let n(a) = a**3 + 13*a**2 + a + 10. Let d be n(-13). Let p = 7/3 + -14/3. Find the common denominator of d/2*(633/(-99) - -5) and p.
33
Let j(n) = -n + 3. Suppose 0 = f - u - u + 9, 4*f + 27 = -u. Let o = 40 - 24. Calculate the smallest common multiple of j(f) and o.
80
Suppose 3*f + 2*v = 24 - 0, 0 = -3*v - 9. Suppose 1 = -5*r + 26. Let l = r - 1. What is th