
Suppose 24 = 3*h + 3*h. Suppose -2*q = -h*q + 66. Find the common denominator of (-105)/14*6/q and -45/8.
88
Let y = 1/445 + 394/22695. Calculate the common denominator of y and 4/13.
663
Let b = -88 + 49. Let r = 42 + b. Suppose -4*j + j + 3*i = 0, -j + 8 = i. What is the smallest common multiple of r and j?
12
Suppose -3*x + r = -8*x + 20, 0 = -4*x - 3*r + 16. What is the common denominator of 23/9 and ((-345)/110 + 5)*x/6?
99
Let h(w) = 3*w**2 + 22*w + 5. Calculate the common denominator of -2 + 3/(-26)*-32 and h(-8).
13
Let c(h) = -3*h**3 - 3*h + 2*h**3 + 0*h**3 - 13*h**2 + 7*h**2. Let f be c(-2). Let d = f + 81/8. Find the common denominator of d and 27/74.
296
Calculate the common denominator of 113/60 and (-11)/(-44) + (1044/880)/(-9).
660
Calculate the common denominator of 198/(-20) - (-2 - (-1 - 0)) and 1/((-4)/(-68)*21/6).
70
Let g be 4/32*((-10929)/33 + -1). Let n = 1/44 + g. What is the common denominator of 65/14 and n?
14
Let n be -3*(4/6 + -1). What is the common denominator of (n - 0)/(((-16)/316)/1) and 35?
4
Find the common denominator of 2/9 - 3661/(-630) and 18/24 + 201/(-180) + 3.
30
Let n = 788 + -533. Calculate the least common multiple of 9 and n.
765
Let x(s) = s**2 + 14*s - 20. What is the smallest common multiple of 18 and x(-16)?
36
Let n = -1035919/482736 - -1/10057. Find the common denominator of n and 47/40.
240
Let j = 34 - 26. What is the smallest common multiple of -1 - 4/(j/(-10)) - 2 and 9?
18
What is the common denominator of -151/36 and 15/12 + (-1342)/(-704)?
288
Let y = -3760/1019 - -2049251/177306. Let c = y + -59/29. Calculate the common denominator of c and (9 - (-1339)/(-78)) + 15.
6
Let d(f) = -4*f - 24. Let t be d(-7). Suppose -t*p = 3*h - 8, h - 8*p = -3*p + 9. Calculate the lowest common multiple of h and 2.
4
Suppose 133*v + 20 = 135*v. Calculate the smallest common multiple of 96/10 + 2/5 and v.
10
Let r = -3 + -42. Find the common denominator of -4 - (-250)/r*3 and 29/7.
21
Let h = -59442/25 - -2379. Calculate the common denominator of h and -79/10.
50
Let b be 6/12 + (-26)/(-4). Let o(y) = y**3 + 20*y**2 + b*y - 7*y**2 + 15 + 6*y. Calculate the least common multiple of o(-12) and 5.
15
Suppose 20*v + 36 = 56. Let g be 103/7 + (-2)/(-7). Let u = v + g. What is the smallest common multiple of 22 and u?
176
Let u(l) = -241*l**3 - 3*l**2 + 2*l - 3. Let v be u(2). Let t be (-12)/(-8)*v/(-6). Let k = t + -925/2. What is the common denominator of k and -93/20?
20
Let i be ((-88)/(-32))/((-1)/12). Let s = -15 - i. Calculate the smallest common multiple of 12 and 1/(-3 + 57/s).
12
Let k = -4/89 - -1003/534. Find the common denominator of (-34)/11 - (1 + 0) and k.
66
Suppose -4*b - 2*m - 148 = -b, -5*m + 230 = -5*b. Calculate the common denominator of (-648)/b*(-10)/(-42) and 71/12.
84
Let k = -104 - -56. Calculate the common denominator of (-2 - 3/(-2)) + (-292)/k and -59/24.
24
Let s = -380017/32 - -11873. What is the common denominator of s and -83/2?
32
Let l = -378 + 394. Let r = -4 + 14. What is the smallest common multiple of r and l?
80
Let n = -209 + 227. What is the smallest common multiple of 6 and n?
18
Suppose 4*i + i = -4*u + 17, 2*u - 11 = -5*i. Suppose 4*q - 14 = 6. Calculate the lowest common multiple of q and 28/u - (-4)/6.
10
Let u = 7879/32340 + 67/588. Find the common denominator of 121/90 and u.
990
Let w = 1395 + -1332. What is the smallest common multiple of w and 7?
63
Let y(g) = -g**3 + 10*g**2 + g + 1. Let n be y(12). Calculate the common denominator of ((-836)/n)/((-6)/10) and -67/27.
135
Suppose -4*h - 3*b - 53 = 0, -15 = 4*b + b. Let l = 19 - h. Suppose -2*a = -5*a + l. Calculate the smallest common multiple of 18 and a.
90
Calculate the common denominator of -43/30 and ((-1)/18)/((-12)/(-888)*2).
90
Suppose 19*j - 10*j - 315 = 0. Calculate the common denominator of ((-133)/(-15))/(42/j) and 134/(-8) + (-2)/(-2).
36
Calculate the lowest common multiple of 3/(-45) - 833/105 - -22 and 168.
168
Let t = -17/57 - 3/266. Find the common denominator of 47/27 and t.
378
Suppose 2*g - 44 = -2*f - 3*g, -180 = -5*f + 5*g. What is the least common multiple of f and ((-1)/2)/(3/(-36))?
96
Let c = -270 + 348. What is the lowest common multiple of c and 18?
234
Let t = 403/2 - 230. Let x be 1691/6 - (-1 + 2). Let k = x + -6929/24. Find the common denominator of k and t.
8
Let p = 52 - 44. Find the common denominator of -46/13 and (p/(-12))/(10/141 + 0).
65
Suppose -4*b = -4*q + 80, 4*b + 28 = 8. Suppose 0 = k - q + 9. Calculate the lowest common multiple of k and 14.
42
Let p = 2 - -2. Suppose 2*l + 288 = 5*t - 146, -4 = 2*l. Calculate the least common multiple of t and p.
172
Suppose 2*q + 55 = -3*h + 7, 4*h + 134 = -5*q. Calculate the common denominator of 2 + (-1 - 25/(-14)) and (-345)/q*1/(-2).
28
Let l = 4/6883 + -199883/474927. Calculate the common denominator of 3 - (1130/112 - 20/(-70)) and l.
552
Calculate the common denominator of -121/10 and (-1276)/(-280) - 24/28.
10
Suppose 0 = 6*f - 7*f. Suppose 2*p + 4*b - 24 - 32 = f, -b = 5*p - 113. Calculate the lowest common multiple of 8 and p.
88
Calculate the least common multiple of ((-1)/1)/((-11)/231) and 57.
399
Let z = 983 + -11779/12. Calculate the common denominator of -79/16 and z.
48
Let v be (-33)/(-9) - 4/6. Calculate the common denominator of -5/22 and 5/v - 1108/96.
88
Let i = 18 - 13. Let v be -4 - (-5)/((-25)/(-20)). Suppose v = -9*h + 12*h - 21. What is the least common multiple of i and h?
35
Let y(z) = -34*z + 19. Let x(g) = 33*g - 18. Let p(u) = -6*x(u) - 5*y(u). Let r be p(11). Let d = r - -549/2. Find the common denominator of 41/8 and d.
8
Let g = -41 + 53. Let s(u) = 5*u**2 + u. Calculate the lowest common multiple of s(-2) and (33/(-2))/(10/((-160)/g)).
198
Let m = -14 + 21. What is the common denominator of 19/30 and -14*m*(-5)/(-20)?
30
Suppose 6*p + 78 = -2112. What is the common denominator of 31/14 and ((-2)/(-15))/((-12)/p)?
126
Let i be (2/1)/(15/30). What is the least common multiple of -4 + (9 - (0 - i) - -3) and 20?
60
Suppose 0*c = -19*c + 1919. Calculate the smallest common multiple of c and 5.
505
Suppose -206 = -10*i - 66. Calculate the lowest common multiple of i and 200.
1400
What is the common denominator of ((-115)/92)/((-2)/((-216)/309)) and -95/2?
206
Let k(m) = 12*m**2 + 5*m - 5. Let x be k(2). Let g = 91 - x. Suppose 4*c + 14 = g. What is the smallest common multiple of c and 22?
66
Let j(i) = -3*i. Let s be j(-1). Let o(w) be the third derivative of w**4/12 - 2*w**3/3 - w**2. What is the least common multiple of 12 and o(s)?
12
Let a = -85/184 + -1041/460. Find the common denominator of -121/30 and a.
120
Let h = 4 + 10. Calculate the lowest common multiple of 4 + -4 - (1 - 19) and h.
126
Let h = -2511 + 2691. What is the smallest common multiple of 36 and h?
180
Let p = 1690 + -13605/8. What is the common denominator of (-13580)/672*(-4)/15 and p?
72
Let c = 7968/41 - 555504/2747. Let a = 1353/670 - c. Find the common denominator of a and 15/14.
70
Let m = 38 - 29. Suppose -4*z = -4*a + 24, a - 4*z - 5 = 16. Calculate the lowest common multiple of a and m.
9
Let g = 268 + -145. Suppose -c - x + 27 = 3, -g = -4*c + 5*x. What is the lowest common multiple of c and 21?
189
Suppose 13*k + 26 - 663 = 0. What is the lowest common multiple of 112 and k?
784
Let v be (9/(-15) + 1)*10. Suppose -2*d - u + v = 0, 5*d - u - 3 = -0*d. What is the least common multiple of d and 4?
4
Let v = 673759/42 + -16040. What is the common denominator of 65/12 and v?
84
Let q be 26604/(-10) + (-2)/(-5). What is the common denominator of (-44)/6*(-513)/q and -65/18?
630
Let h = 17848 + -1338619/75. What is the common denominator of -61/150 and h?
150
Let m(o) = 4*o**2 - 7*o - 7. Let w(k) = -5*k**2 + 6*k + 8. Let b(s) = 4*m(s) + 3*w(s). Let u be b(9). Calculate the common denominator of u*(9/21 - 0) and 22/7.
7
Let g = -22 - -22. Let c(x) = x**3 + 60. Let j be c(g). Suppose f = 6*f - j. What is the least common multiple of 4 and f?
12
Suppose 3*k - 98579 - 55924 = 0. Suppose k = 5*w + v, 2*w + 3*w = -3*v + 51493. Let c = -144317/14 + w. Calculate the common denominator of 43/7 and c.
14
Let t(s) = -s**2 - 11*s - 13. Let m be t(-9). Let j be m + -6 - 374/420. Let d = j - 59/21. Find the common denominator 