
55
Suppose -45 = 3*c - 4*c. Calculate the lowest common multiple of c and ((-70)/6)/((-113)/339).
315
Let d(r) = r**3 + 8*r**2 + 7*r - 3. Let y be d(-7). Let w = 26193/2684 - 6/671. Calculate the common denominator of ((-2)/(-48))/(y/390) and w.
12
Let y be (-4)/(-6) + 46/3. Let m be ((-12)/(-8))/(1293/y). Let u = 40961/862 - m. What is the common denominator of u and -6?
2
Let i = 4 - 5. What is the common denominator of i/(-7) - 1385/385 and -6/5?
55
Suppose 4*x - 14 = -3*i - 0, 0 = 4*i + 2*x - 12. Suppose -9 = -4*j - b, i*j = 3*j + 5*b - 26. What is the least common multiple of 6 and ((-2)/j)/(14/(-7))?
6
Calculate the smallest common multiple of 11 and 176/(-60)*3*-5.
44
What is the least common multiple of 1896/27 - (-10)/(-45) and 50?
350
Let b = 46 - 46. Suppose -40 = -5*x - b*x. What is the smallest common multiple of 3 and x?
24
Let r be 0 - 5/((-35)/3063). Let j = -6239/14 + r. Calculate the common denominator of j and -13/28.
28
Suppose -5*q = -5*w - 8 + 38, 0 = -2*w + 4*q + 6. What is the common denominator of 2/w - (-2870)/693 and 58/9?
99
Let r(t) = -t**3 + 27*t**2 - 25*t - 41. Let h be r(26). Let n = h - -25. Suppose -5 = i, 3*i + 69 = 2*q - 2*i. What is the lowest common multiple of q and n?
110
Let j = 10275039608421/7073 + -1452713075. Let y = -1/643 + j. Find the common denominator of -15/19 and y.
209
Calculate the common denominator of (1/(-1) - -38)*(-1)/5 and (-1)/((-4)/(-14) + 656/(-2884)).
30
Let p be (-1)/5 - 632/(-10). Let c = -43 + p. What is the common denominator of (-6)/12*(-178)/c and -43/4?
20
Let c = 104131/12 - 8669. Let g = -110747/18 + 6145. Find the common denominator of g and c.
36
Let d = -344 - -653. What is the least common multiple of 11 and d?
3399
Suppose -3*d - 7 = -0*j + 4*j, 0 = 2*d - 2*j. What is the smallest common multiple of 8 and 4 + (-1 - -13) - d*3?
152
Calculate the least common multiple of 56*((-28)/8)/(-7) and 16.
112
Suppose -12 = -3*f - 3*f. Suppose 0 = -5*k + 3*k + f. What is the smallest common multiple of 8 and k?
8
Let s be 5 + -2 + -6 + -2. Let k = -19/2 - s. Find the common denominator of k and -29/17.
34
Let p = -5008 + 245365/49. Find the common denominator of 19/14 and p.
98
Let z(j) = -4*j + 14. Let c = -17 + 12. Let q = c - -19. Calculate the least common multiple of z(3) and q.
14
Let z = 2/22481 - -472037/719392. Calculate the common denominator of z and -103/10.
160
Suppose 3*p - 5*p = -32. Calculate the smallest common multiple of 48/12 - (-6 - -1 - 1) and p.
80
Suppose 2*h - 5 = -u + 9, h = 2*u - 8. Calculate the common denominator of ((-273)/(-196))/(u/(-4)) and (-1)/(-4) - 148/(-8).
28
Suppose 24 = -0*z + 2*z. Let q = -238 + 242. What is the smallest common multiple of z and q?
12
Let z(m) = -3*m + 1. Let b(t) be the second derivative of -t**3/6 + 7*t**2/2 - 3*t. Let v be b(9). What is the smallest common multiple of 4 and z(v)?
28
Let v(b) = 2*b**2 - 3*b - 47. Calculate the lowest common multiple of v(-7) and 8.
72
Let m = -17162/7 + 309959/126. Let t = 3013 + -12117/4. Calculate the common denominator of t and m.
36
Let b = 3 + 17. Let h be (-69)/(-21) - 4/14. Suppose -5*g = -5*a - 105, -2*g + 3*a = -h*g + 9. What is the smallest common multiple of g and b?
180
Suppose 0 = g + 20 - 7. Let b be 0/2 - 105/(-7). Let j = b + g. Calculate the lowest common multiple of 10 and j.
10
What is the common denominator of (-1)/(-8)*1420/45 and ((-2)/72*1)/(278/20294)?
36
Let o be (-2)/3 + (-3)/9. Let t be (-2 - o)/((-2)/(-17258)). Let c = -86381/10 - t. What is the common denominator of -61/4 and c?
20
Suppose 364 = -5*v - 2*o + 54, -110 = 2*v - 2*o. What is the common denominator of 97/14 and ((-296)/v)/((-16)/(-6))?
140
Let x be ((-7)/(14/72))/(-1). Suppose 3*l - 6 = -60. Let f = x + l. What is the smallest common multiple of 66 and f?
198
Let r(h) = 102*h**2 - 2*h. What is the least common multiple of 340 and r(1)?
1700
Suppose -25*w = -23*w - 36. What is the lowest common multiple of 60 and w?
180
Let x = -2700301/6192 - 699/688. Let v = -785 - -1223. Let n = v + x. Calculate the common denominator of -24/5 and n.
45
Let v be (-2)/(-7) + (-4)/14. Suppose s = 4*g - 59, 3*g - s = -v*s + 45. Suppose 0*r = -r + 6. Calculate the smallest common multiple of g and r.
42
Let x = -601/52 + 30/13. Let a = -53 + -50. What is the common denominator of 2 - 1 - a/(-6) and x?
12
Suppose 0 = -4*i - 3*b + 36, -5*i - b - 3*b + 46 = 0. What is the common denominator of -37/34 and (1/(-4))/(i/(-284))?
102
Suppose 78 = -3*v - 315. Let c = v + 134. What is the least common multiple of c and 7?
21
Suppose f + 192 = 3*f. Let t = 216 - f. Calculate the common denominator of -9/10 and -3 + 0 + 282/t.
20
Let z = -61/15 + 2/5. Let v be 2 + (-84)/40 + -2. Let a = -4 - v. Calculate the common denominator of a and z.
30
Let v(c) = -194*c**2 + 2*c + 1. Suppose 0 = z - 0*z + 2. Let t be v(z). Let d = -6287/8 - t. Calculate the common denominator of -77/24 and d.
24
Suppose 3*q = 29*q - 234. Calculate the least common multiple of q and -1 - -8 - (0 + -1).
72
Let b(w) = -w**3 - 8*w**2 - 6*w - 1. Let r be b(-5). What is the common denominator of -63/20 and (-15)/(-10)*r/12?
20
Let x be -2 - 5/(15/6). Calculate the lowest common multiple of 1 and 36 + (-12)/x + -4.
35
Let b = 1/555 - -426/3145. Calculate the common denominator of b and 43/15.
255
Let c = -1108675/44 - -25196. Calculate the common denominator of 67/28 and c.
308
Let k(q) be the third derivative of -q**5/60 - q**4/2 - 5*q**3/6 - 6*q**2. Calculate the smallest common multiple of 20 and k(-9).
220
Let o(x) = 4*x - 9. Let v be o(3). Suppose 0 = -v*c + 11 + 70. Calculate the smallest common multiple of c and 3.
27
Suppose 5*o - o + 16 = 0. Let r = -148 - -34. Find the common denominator of 75/22 and (-23)/o*(-12)/r.
418
Suppose 5*b - 40 = -15. Let g = 12 - b. What is the smallest common multiple of 8 and g?
56
Calculate the smallest common multiple of 2/23 - 3998/(-46) and 15.
435
Let z be 14 + -3 + 2 - (-15 - -18). Suppose 2*d + 2*i - 6*i = z, 3*i = -5*d + 51. Calculate the smallest common multiple of d and 30.
90
Suppose -590 = -22*r + 180. Suppose 0 = -4*s + 5*u + 34 + 25, 5*s - 5*u - 70 = 0. What is the lowest common multiple of r and s?
385
Let z be 64 + -25 - (-1 - (0 - 4)). What is the least common multiple of 67/4 + z/(-48) and 36?
144
Let i = -92934/47101 + -3/4958. Calculate the common denominator of i and 31/(-70) + (-1)/5.
266
Let n = -20437/9 + 2263. Let f = 558/19 + -7651/190. Calculate the common denominator of f and n.
90
Suppose -4*h = 8 - 44. Suppose -h*f + 37 + 44 = 0. Calculate the lowest common multiple of f and 17.
153
Let r = 13 - -6. Suppose 0 = -m + 3*y + 22, -m - 2 = -2*y - r. Calculate the smallest common multiple of m and 6.
42
Find the common denominator of 6 - (-112)/(-51) - 16/4 and 6/15 - 446/(-110).
561
Suppose -85 = 3*h + 2*h. Let a = 17 + h. Let j = 2 + a. What is the least common multiple of 6 and j?
6
Let u = 189 + -3791/20. Find the common denominator of (447*22/594)/((-5)/(15/(-4))) and u.
60
Let x be (-5)/5*4*3. What is the common denominator of 2/4 + 52/6 and (-66)/10 + (30/x - -4)?
30
Let h(y) be the first derivative of y**2 - 2. Let r be h(1). What is the common denominator of r/(-3)*57/12 and 29/16?
48
Let m(w) = -w**3 - 23*w**2 - 45*w - 21. Calculate the least common multiple of 24 and m(-21).
168
Let x = -311 - -215. What is the common denominator of 4/12 + (-94)/(-96) and 0 + 0 + (-174)/x?
16
Suppose w + 5 = 2*g, 0 = -3*g + 2*w - 3*w + 15. Calculate the lowest common multiple of 6/((g/3)/2) and 21.
63
Let u be 3/2 + (-6044)/8. Let j be 6164/6*6/(-8). Let b = u - j. Find the common denominator of b and -23/20.
20
Let b(s) = -s**3 - 5*s**2 + s + 15. Let f be b(-4). What is the least common multiple of 24 and 0 + (-6)/(f + 3)?
24
Suppose 2*v = -4*c - 162, 7*c - 11*c - 165 = v. Let x = c - -62. Calculate the lowest common multiple of 88 and x.
440
Let w = 1772 - 19504/11. Let f = -1789603 + 17935579/10. Let r = -3962 + f. Find the common denominator of w and r.
110
Suppose -2*o + 400 = b, 398 = 2*o + 6*b - 4*b. What is the smallest common multiple of o and 27?
1809
What is the common denominator of -81/116 and -7 + 10*(-1432)/(-1728)?
3132
Let v(i) = 2*i**2 + 29*i - 5. Calculate the smallest common mu