98
Suppose 3*f = -z + 133, 4*f = 5*f + z - 45. Suppose 0 = -5*w + 2*w + 4*s + f, 0 = -5*s + 5. What is the lowest common multiple of 20 and w?
80
Let x(r) = -145*r - 2. Suppose -5*t - 2*u + 15 = 0, 8*u - 3 = -t + 4*u. Let c be x(t). Calculate the common denominator of c/(-35) + 10/(-35) and -27/11.
55
Let t = -3451/766 + 2/383. Let a = 15761/2436 + 23/203. What is the common denominator of a and t?
12
Suppose i = p + 16, -5*i - p + 48 = -2*i. Let l = -12 - -24. Let m = l + -10. What is the least common multiple of m and i?
16
Let y(l) be the third derivative of -l**4/24 + 7*l**3/6 - 7*l**2. Let c = 35 - 19. Calculate the smallest common multiple of y(-11) and c.
144
Suppose -8*w + 2210 = 9*w. What is the smallest common multiple of 39 and w?
390
Find the common denominator of 280/8800*1/((-4)/(-30)) and -25/88.
88
Let s = -502 - -522. Calculate the least common multiple of 758 and s.
7580
Suppose 0*z + 10 = 2*z. Suppose c = -1 + z. Calculate the smallest common multiple of c and 22.
44
Find the common denominator of -30/37 and 2 - -1 - 2/18.
333
Suppose 2*q = -13 + 1. Let m(l) = l**2 - 4*l - 21. What is the lowest common multiple of m(q) and 33?
429
Let o(k) = k**3 + 12*k**2 - 12*k + 17. Let b be o(-13). What is the lowest common multiple of 9 and 6*8 - ((-8)/(-2))/b?
423
Let m = 1/1518 - 69073/6072. Let t be (5 + -7)*104/6 - 4. Let h = t + 661/15. What is the common denominator of m and h?
40
Let q(m) = m**2 - 8*m + 14. Suppose -5*y + a + 2 + 4 = 0, 2*y + 4 = 2*a. Let i be 240/42 + y/7. Calculate the least common multiple of 30 and q(i).
30
Let y(r) = r**2 - 59. What is the lowest common multiple of 76 and y(8)?
380
Let t = 254/11 - 301/44. What is the common denominator of t and 4/9?
36
Let q = -58 - -116. Suppose s - 50 = l - 4*s, -l + 4*s = 48. Let g = q + l. What is the lowest common multiple of g and 30?
90
Let y(a) = -a**2 - 5*a + a - 5*a - 3. What is the least common multiple of y(-8) and 8?
40
Let x = 1216 - 1108. What is the smallest common multiple of x and 27?
108
Let z = -64/29 + -369/319. Find the common denominator of (-463)/(-372) - 23/276 and z.
341
What is the common denominator of 35/484 and ((-444)/(-64))/((-88)/16)?
968
Suppose -i + 6*i - 115 = -5*r, 79 = 3*r + 5*i. Let z be (-4)/18 - (-58)/r. What is the least common multiple of 2 + -2 + 48/z and 12?
48
Suppose -r - 2*c = -52 - 62, 226 = 2*r + 5*c. What is the least common multiple of 3 and r?
354
Suppose 19560 = -3*p + 8*p. Let a be (p/9)/(2/3). Let g = a - 5824/9. Calculate the common denominator of g and -40/11.
99
Suppose 264 = -35*y + 38*y. What is the common denominator of (-1 - (-33)/24)/((-30)/y) and -47/8?
40
Let l(t) = t - 3. Let x be l(6). Let w = x + -5. What is the lowest common multiple of 9 and -3*w/(-6)*-11?
99
Let h = -288 + 320. What is the least common multiple of h and 4?
32
Let u = -683834 - -61543667/90. Let o = u + 169/9. Let z = -2595/286 - -141/13. Find the common denominator of z and o.
110
Find the common denominator of (2/117)/((-164)/16113) and -34/5.
390
Let g(w) = 2*w**3 + 5*w**2 + w. Calculate the least common multiple of 10 and g(-2).
10
Suppose -6*a = -4*a - 6. Suppose b - 9981 = -4*c, 0 = -2*c - c + a*b + 7482. Let p = -44893/18 + c. What is the common denominator of -123/20 and p?
180
Let g(c) = c**3 + 2*c**2 - 4*c - 3. Let s be g(-3). Suppose 5*v - 2*v - 21 = s. Calculate the common denominator of 5/(-25) - v/2 and -2/11.
110
Let q = -16 - -42. Suppose 6*s - 3*g - 20 = 4*s, -3*s + g = -44. Suppose -s = -3*z + 2. What is the smallest common multiple of z and q?
78
Let d = -16 + 64. Calculate the smallest common multiple of d and 64.
192
Let u = 17311 - 692353/40. Calculate the common denominator of 23/88 and u.
440
Let r = 106913/43488 - -14/1359. Calculate the common denominator of -93/4 and r.
32
Let g(d) = 5 + d - 2 - 3 + 6. Calculate the least common multiple of g(-5) and 3.
3
What is the smallest common multiple of 128 and 4*13 + 272/(-68)?
384
Let t be ((-1460)/(-50))/((-2)/(-20)). Let s = -70545/14 + 5044. Calculate the common denominator of 6/(-4)*t/(-72) and s.
84
Let i = 2/5475 + -1/73. What is the common denominator of i and -17/45?
225
Let l = -61325/23748 + -2/1979. Calculate the common denominator of -101/464 and l.
1392
Suppose 0 = 3*w + 38 + 7. Let d be (18/30)/((-1)/w). Suppose -15 = -3*o + d. Calculate the lowest common multiple of o and 5.
40
Let o(j) = -j**3 + j**2 + 35*j + 9. Calculate the least common multiple of o(6) and 143.
429
Let h = 7003 - 1057415/151. Let g = h + -10877/3020. Let p = -2133 - -4271/2. What is the common denominator of p and g?
20
Let p be (-50)/(-3)*(0 + (-12)/(-5)). Suppose p*b = 39*b + 8. Calculate the lowest common multiple of b and 5.
40
Calculate the least common multiple of 253/6 + (-2)/(12/1) and 6.
42
Find the common denominator of 48460/9120 - 4/38 and -53/9.
72
Let h = -1899 + 3883/2. Let p = -2489 - -84607/34. Calculate the common denominator of h and p.
34
Let k = -540018/2285 - -1395660807/5493140. Let p = k + 5/601. What is the common denominator of -38/45 and p?
180
Suppose 4*u - 49 = 15. Let q(d) = -d**3 + 19*d**2 + 21*d + 2. Let k be q(20). Suppose -100 = 17*z - k*z. What is the smallest common multiple of z and u?
80
Suppose 0 = -3*g + 2*r - 4*r + 520, -3*r = 12. Calculate the smallest common multiple of 8 and g.
176
Let n(g) = -g**3 - 18*g**2 + 36*g - 77. What is the least common multiple of n(-20) and 314?
942
Let c be (3 - -8) + -4 + (-1 - -2). Let m(h) be the second derivative of h**3/2 - 8*h**2 - h. Calculate the smallest common multiple of m(c) and 22.
88
Suppose 5*l - 3*x = 741, -l + 4*x = 3*l - 596. Calculate the lowest common multiple of l and 24.
1176
Let m = 1868891/91 - 20537. Let a = -6451/728 - m. Find the common denominator of a and 534/10*2/24.
40
Suppose -37*s - 40 = -42*s. Let x(j) = j**2 - 4*j + 3. Let f be x(4). Let a(k) = k**3 - 4*k**2 + 3*k + 4. What is the smallest common multiple of a(f) and s?
8
Let l = 33497 - 803797/24. Let w = -1658/3 + 1139/2. Calculate the common denominator of l and w.
24
Suppose -p + 198 = -2*l - 2*l, 5*p - 1115 = -5*l. Calculate the least common multiple of p and 1.
218
Suppose -11 = -6*x + 1. Suppose 401 = 3*j + 5*y, -j + 2*y + x*y + 162 = 0. Let h = 845/6 - j. What is the common denominator of -13/3 and h?
6
Let o(d) = d - 4*d + 6*d**2 + 3*d. What is the least common multiple of o(-1) and ((-20)/6)/(1/(-6))?
60
Let v be 15/(-10)*(-286167)/54. Let d = v - 7958. What is the common denominator of -7/8 and d?
24
Let k be (-1234)/(-408) - (14 + -11). Let t = 1271/2244 + k. What is the common denominator of (25/14)/1*1 and t?
154
Let f = 70813/26290 + -14/1195. Let w = 143967/98 - 1350/49. Let k = 1407 - w. What is the common denominator of k and f?
22
Let x(d) = -d - 10. Let n be x(-12). Let f = 5 - n. Suppose 3*o + o = f*w + 11, 2*w + 2 = 0. What is the smallest common multiple of o and 20?
20
Suppose 3*a = -4 - 5. Let p = 116 + -113. Calculate the lowest common multiple of 44/(a + 7) - p and 6.
24
Let x be 0 + -14 + 2/2. Calculate the common denominator of (-1)/x - 0/(-4) and ((-896)/48 - -19)*213/(-4).
52
Suppose -4*h - 2*c = -48, 5*c = 2*h + 2 - 50. Calculate the smallest common multiple of h and 10.
70
Let c(g) = g**2 - 13*g + 5. Calculate the lowest common multiple of c(-6) and 10.
1190
Suppose -4*l = -2*l - 4. Let x = 77/394 + -1987/591. Calculate the common denominator of l/(-2) - (-93)/(-2) and x.
6
Find the common denominator of 83/165 and (2/22 - 861/(-121)) + -7.
1815
Let g = -4629/14924 + -6/533. What is the common denominator of g and 101/28?
28
Calculate the least common multiple of (49/21)/((-1)/(-9)) and 21.
21
Let c = 1/5740 - 35603/86100. What is the common denominator of 46/165 and c?
825
Let r = -638 - -12783/20. Let t(y) = -y**2 - 9*y - 10. Let h be t(-6). What is the common denominator of 1 + 2 + (-142)/h and r?
20
Suppose 83 = 4*f + 67, 2*f = 3*s - 73. Let z = -26 + 53. What is the smallest common multiple of z and s?
27
Let t = -37367/6 + 6207. Calculate the common denominator of -51/179 and t.
1074
Suppose 4*p - h = -5*h - 148, 3*p - 5*h = -103. Let c = -12 - p. Suppose 4*d - c - 16 = 0. What is the lowest common multiple of d and 3?
30
Suppose 12 = -4*n - 0*n, 0 = 2*w + 5*n + 7. Suppose -4*a - w*h