- 3437/3. Find the common denominator of q and i.
6
Let h = 2901/110 - 223/11. Find the common denominator of 47/110 and h.
110
Let r = -20/211 - -20405/3798. Find the common denominator of r and -4/39.
234
Suppose 4 = 3*r - 14. Suppose 6*a + 33 = 3*v + a, 2*v = -a + 9. What is the least common multiple of v and r?
6
Suppose 70 = 5*l + 2*n, -2*n + 4 + 2 = l. Let t(o) = -3*o - 8. Let k be t(-4). Suppose 14 = c - k. What is the least common multiple of c and l?
144
Let q be (78/4)/((-24)/(-512)). Suppose 6*f = 2*f + q. Calculate the least common multiple of 10 and f.
520
Let w(o) = -o**3 + 4*o**2 + 4*o + 11. Let u = 27 - 22. Calculate the least common multiple of 8 and w(u).
24
Let b = -3521/2295 + -27/85. What is the common denominator of 101/210 and b?
1890
Suppose 0 = 3*w - 0*w + l + 207, -352 = 5*w + 4*l. Calculate the common denominator of (-166)/w*1 - 3 and -71/20.
340
Let o be (-2 - 1) + (-34640)/(-1216). Let y = o + -113/4. Calculate the common denominator of y and -89/12.
228
What is the common denominator of -25/77 and (-1)/(2/8 - (-5634)/5976)?
693
Let d = 3/3790 - 170583/41690. Suppose 13 = 3*m - 2, -w - 2*m + 121 = 0. Calculate the common denominator of d and (w/(-15) - 3) + 1.
55
What is the common denominator of ((-84)/10*5)/(5/(-1)) and -29/44?
220
Let l = 744 - 188. Calculate the lowest common multiple of 12 and l.
1668
Let j be 2/(-3) + 1/(-3). Calculate the least common multiple of 6/4 - (54/12 - 9) and 2*j + 0 - -5.
6
Suppose 30 = -4*m + 7*m. Suppose 9*o - m = 4*o. Suppose -6*p = -7*p + o. Calculate the smallest common multiple of p and 5.
10
Calculate the common denominator of 75/52 and (8 - 1000/128)*60.
52
Suppose -2*x + 3*x - 10 = -3*w, 4*x - 5*w + 45 = 0. Let m(b) = -b**3 - 3*b**2 + b - 31. What is the smallest common multiple of 18 and m(x)?
126
Let z be (-3)/(-2 + (-76)/(-32)). Let k(i) = 2*i**2 + 16*i + 6. What is the smallest common multiple of k(z) and 22?
66
Suppose 21*r - 3884 = 3151. Calculate the least common multiple of 10 and r.
670
Let m(q) = q**2 + 2*q - 2. Let i(k) = k**2 + k - 1. Let n(f) = -10*i(f) + 5*m(f). Let c be n(-1). Calculate the least common multiple of 1*18 + c + 3 and 14.
112
Let j(b) = -2*b + 18. Let f be j(7). Calculate the least common multiple of (2 - 10/f)*(14 - 50) and 12.
36
Suppose 8*b + 0*b + 128 = 0. Let a = 18 + b. Let c = 13 + -6. Calculate the smallest common multiple of c and a.
14
Calculate the common denominator of 172/(-129)*(-3)/(-7) and 25/18.
126
Let q = 283/112 - 19/7. Let x(f) = 2*f + 1592. Let u be x(0). Let m = u + -3251/2. Calculate the common denominator of q and m.
16
Let b = 6044 + -132907/22. What is the common denominator of b and -23/130?
1430
Let l(q) = q**3 + 29*q**2 - 35*q + 48. Calculate the least common multiple of l(-30) and 22.
198
Let p = -2319/8 - -1193/4. Calculate the common denominator of -43/446 and p.
1784
Let p = -2/15875 + -12493607/142875. Let k = 90 + p. Calculate the common denominator of 8/27 and k.
27
Suppose 4*u - b - 193 = 0, 248 = 5*u + 6*b - 5*b. Calculate the least common multiple of 77 and u.
539
Let i = 502931/40 - 12572. Find the common denominator of i and (-5 - -9) + 254/(-12).
120
Let y(s) = -1 + 0 + s**2 - 5. Let q be (1 - (-4)/6)*3. Calculate the lowest common multiple of 5 and y(q).
95
Calculate the common denominator of ((-26)/(-429))/((-4)/(-210)) and -53/18.
198
Let n = 1259 + -12601/10. Let p be (-2)/(-9) - 3180/(-27). What is the common denominator of n and p/(-10)*(-10)/12?
30
Let a = 360 - 640. Calculate the common denominator of -70/3 and (-42)/8*48/a.
30
Let h be (-8578)/28*481/34957. Let l = 3/2689 + h. Calculate the common denominator of -39/10 and l.
70
Let v(z) = -1 + 2 + 1 - 11*z**2 + 10*z**2. Let f(h) = h**2 + 7*h - 10. Calculate the smallest common multiple of f(-9) and v(0).
8
Let b = 337 + 57. What is the smallest common multiple of b and 8?
1576
Let g(f) = 6*f + 81. Suppose 0*w = -4*l - 3*w + 37, -5*l - 2*w + 41 = 0. What is the least common multiple of l and g(-13)?
21
Suppose -n - 413 = 132. Let o be ((-333596)/336)/(n/2). Let b = -1/1635 + o. What is the common denominator of 95/18 and b?
126
Suppose -5*c + 8 + 2 = 0, -2*p + 226 = 5*c. Calculate the smallest common multiple of 27 and p.
108
Suppose -16075 = -13*q + 17803. Let o = -20915/8 + q. Let k(j) = 2*j**2 - 10*j + 8. What is the common denominator of k(6) and o?
8
Suppose 3*f - 61 = n, -3*f - n + 36 + 35 = 0. What is the lowest common multiple of f and 278?
3058
Let t(g) = g - 9. Let j be t(5). Calculate the lowest common multiple of 10 and j*-4*4/8.
40
Let w = -1721 - -25753/15. What is the common denominator of w and 0/21 + 40/(-54)?
135
Let i = 9022703/36245190 - -6/71069. Calculate the common denominator of i and -39/4.
1020
Let z(q) be the second derivative of q**4/4 + q**3/6 - q**2 - 5*q. Let y be z(-2). What is the lowest common multiple of y/12 - (-52)/3 and 22?
198
Suppose 4*p - 2*s - 3*s - 32 = 0, p = s + 7. Suppose 4*w + 3*n - 27 = 0, 2*n - 40 = -5*w - p*n. Find the common denominator of (192/(-6))/(w/(-2)) and 13/10.
30
Let b = 32326 + -4848929/150. Find the common denominator of 85/4 and b.
300
Suppose 0*c = c - 9. What is the smallest common multiple of c and (-46)/(-10) + (282/30 - 9)?
45
Let k(t) be the first derivative of -t**3/3 + 9*t**2/2 - 8*t + 1. Suppose -3*n + 16 + 5 = 3*x, 12 = 4*x. What is the least common multiple of n and k(7)?
12
Suppose s - 2*c = 3, -2*c + 4*c = 5*s - 23. Suppose k = 4*o - s, 3*k - 4*k + 13 = 2*o. Calculate the lowest common multiple of k and 9.
63
Suppose 3*z - 30 + 6 = 0. Let s be (-6)/(2 - 28/z). Let j = -2 + s. Calculate the smallest common multiple of 6 and j.
6
Let z(l) = -2*l**3 - 2*l**2 + 12*l + 19. Calculate the common denominator of -77/184 and z(-2).
184
Suppose 3*q = -m + 573, 3*q + 3*m - 273 - 306 = 0. What is the lowest common multiple of 38 and q?
190
Let n = -27 - -9. Let u = 22 + n. Suppose -k + 16 = 3*i, -3*i - i = -4*k - 16. What is the least common multiple of i and u?
20
Let y(u) be the second derivative of 11*u**5/20 + u**3/3 - u**2 - 4*u. Calculate the least common multiple of 11 and y(1).
11
Let f(x) = x**3 + 9*x**2 + 6. Let c be f(-9). Let q(o) = o**2 - 3*o - 10. Calculate the smallest common multiple of q(c) and 44.
88
Let i = -36 - -21. Let u = -7 - i. Let g = 42 - 30. Calculate the smallest common multiple of u and g.
24
Let f = 168 - 126. What is the least common multiple of f and 6?
42
Suppose 7*k - 2*p = 6*k + 16, 272 = 11*k + 2*p. What is the smallest common multiple of 480 and k?
480
Let x = -5811011/60 - -96853. Let l = -53183/6 + 8889. Find the common denominator of x and l.
60
Let a = -103 - -58. Calculate the smallest common multiple of 10 and a/(-18)*32/10.
40
What is the common denominator of 42/(-28)*(-59)/(-87) and 103/34?
986
Let v = -1583/66 - -97/11. What is the common denominator of v and 228/(-8)*2/6?
6
Suppose -87*i = -92*i + 425. What is the least common multiple of 170 and i?
170
Let h = -30356/9 - -880102/261. Calculate the common denominator of h and 56/27.
783
Let b(g) = g**3 + 4*g**2 - 3*g - 5. Calculate the lowest common multiple of b(-4) and 522/(-63) - -8 - 44/(-7).
42
Let t(v) = -13*v - 2. Let o be t(-3). Let j = -7 + o. What is the least common multiple of 75/j*8/10 and 10?
10
Let w = 5775/4 - 1457. Let o = -1103/24 + 561/8. Calculate the common denominator of w and o.
12
Let a(c) = 79*c + 31. Let w be a(-3). Calculate the common denominator of 14/(-77)*w/(-8) and -79/6.
66
Let q = 181 + -293. Calculate the common denominator of 1/4 + 268/q and 30/7.
7
Let m = -385979/27 - -14293. Find the common denominator of 706/90 - (-32)/(-80) and m.
27
Let r = 14637/4 + -3634. Calculate the common denominator of r and (-12)/(-4) + (-82)/40.
20
Let v(w) = -2*w + 29. Let s be v(12). Suppose -4*i + 8 = s*c - 12, -2*i - 20 = -5*c. Calculate the lowest common multiple of 2 and c.
4
Let u = 347 - 358. Suppose 18 = -2*y + 3*y. Let w = u + y. Calculate the least common multiple of w and 7.
7
Let z be ((-15)/(-6) + -2)*(1 - 1). Suppose z*q - 2*q = -32. What is the lowest common multiple of q and 4?
16
Suppose 2*p - 5 = -7. Let u be p/2 + 284/(-8). Find the common denominator of -59/20 and (-82)/(-88) - u/48.
220
Let f(p) = p**2 + 3*p + 18. Let c(o) = -3*o**2 - 7*o 