9/198.
792
Suppose -12 = 4*a, -a = 22*r - 21*r - 17. Calculate the lowest common multiple of r and 21.
420
Let y be (9 - (-21736)/48) + 1/6. Suppose 0 = 2*r - 0*r - y. Calculate the least common multiple of r and 4.
924
Calculate the common denominator of 26/33 and ((-3)/366)/((-360)/16).
30195
Let a = -29280 + 30060. What is the lowest common multiple of 663 and a?
13260
Find the common denominator of (-3 + 2044/680)/((-7959)/(-658) + -12) and 7/3060.
3060
Let v be 122448/34419 + -7 + 2/14. Let j = v - -4/149. Calculate the common denominator of j and 1012/33*(-3)/(-10).
55
Let l = -191753/12 + 15973. What is the common denominator of -25/3624 and l?
3624
Let d = -9 + 24. Suppose -259*y + 252*y = -20566. Let a = y - 52937/18. Find the common denominator of a and d.
18
Suppose m = -2*x + 69 - 187, 4*m = 3*x - 417. Let g(k) = k**2 - 21*k. Let o be g(21). Calculate the common denominator of m/(-40) - (o - -2) and 123/20.
20
Suppose 0 = 3*z + 3*r - 1917, -18*r = -z - 14*r + 659. Calculate the smallest common multiple of z and 6.
3858
Let i be 14/(-28) - (10182/(-4) + 1). Let h = i - 1289. Let n = h + -6302/5. Calculate the common denominator of -19/14 and n.
70
Calculate the common denominator of (226/(-228))/1*(-6)/(-14) and -31/2.
266
Let h(q) = 2*q**3 - 3*q**2 - 10*q + 37. Let y be h(5). Suppose -5*a = -78 - y. Calculate the least common multiple of 12 and a.
48
Let x = 38/36301 + -1761796661/217806. Let j = -8065 - x. What is the common denominator of j and ((-225)/(-48))/(-3) + 2?
48
Let y = -37906/9 + 4219. What is the common denominator of 65/18 and y?
18
Let j = 43 - 35. Let q(g) = g - 7. Let x(p) = 13*p + 5. What is the lowest common multiple of x(0) and q(j)?
5
Let m be (0 - -1)/(5/20). Suppose 3*y - 30 = -2*w, 3*y + m*w - 4 = 20. What is the smallest common multiple of 36 and y?
36
Let k(a) = 2*a**3 - 32*a**2 + 139*a - 35. What is the least common multiple of k(5) and 0/(9/3) + 66?
330
Let h = -2552 - -7042. Suppose 4*q + 460 = 4*z + 4080, 5*q - h = -2*z. Find the common denominator of -115/42 and (12/q)/((-4)/410).
210
Suppose 5*l - 15 = -3*s, -7*s = -2*s + 4*l - 38. Let t be (-1 - 0) + 1 + 1*4. Suppose t*m - s*m = -72. What is the least common multiple of m and 4?
12
Suppose 19*t = -6*t + 875. Calculate the smallest common multiple of t and 140.
140
Calculate the common denominator of -61/300 and ((-1927)/41)/(-10 - 65).
300
Suppose -915*i + 1161*i = 20664. What is the least common multiple of i and 432?
3024
Suppose 156 = 2*y + 12. Suppose 5*v - 269 - 213 = t, 0 = v - 3*t - 60. What is the smallest common multiple of v and y?
792
Suppose 6 = -o + 5*d, 14 = 5*o - 3*o + 3*d. Let k(c) = 59*c - 214. What is the smallest common multiple of k(o) and 22?
22
Suppose 70 = -5*v + 13*z - 15*z, 2*v = -5*z - 49. Suppose -32 = -5*q + 28. What is the least common multiple of 6 and q/21*(-42)/v?
6
Suppose 5*m + 21 = j - 4, 4*m = 4*j - 20. Let a(x) = -8*x + 70. Calculate the lowest common multiple of a(j) and 56.
280
Let q = 89569/24 + -3733. Let s = 19454 - 57490/3. Let x = s + -6064/21. Find the common denominator of x and q.
168
Let c(p) = 916*p**3 + 4*p**2 - 2*p - 1. Let l be c(1). Let j = l + -845. What is the least common multiple of j and 8?
72
Let i be ((-34)/76)/(70/(-4)). Let b = i - 9819/1330. What is the common denominator of ((-346)/(-6))/(8/2 - 14) and b?
210
Let t = -343117/24 + 14292. What is the common denominator of -29/36 and t?
72
Suppose 186*o - 164 = 184*o. Let a = -34 + o. What is the lowest common multiple of 18 and a?
144
Calculate the common denominator of 44/49 and (12/230)/((-28413)/36080).
3381
Let i = -15/1426 - -17933/620310. Let f = 4232349299/813313845 - 8/5609061. Let d = i + f. Calculate the common denominator of d and 29/24.
72
Let k = -3005261/128 - -23479. Find the common denominator of 5/176 and k.
1408
Suppose 0 = -5*h - 3*x + 758, 0*h + x + 466 = 3*h. Suppose -14*d = -673 + 604 - 323. Calculate the smallest common multiple of h and d.
308
Let b(x) = -2*x + 34. Let i be (1/(-2))/((-1)/32 + 0). Let q be b(i). What is the least common multiple of 8/(-4) + (1 - (-24)/q) and 5?
55
Suppose -3*l + 2*f - 23 = 0, -l + 4 = -0*l - 3*f. Calculate the lowest common multiple of (6 - (6 + -2))*(-2)/(-2) and 0*(4 - 3) - l.
22
Let j = 9614 + -9558. Calculate the smallest common multiple of 504 and j.
504
Find the common denominator of (-102)/1624 - 370/3885 and -13/638.
3828
Let y be 3 - (2 - -1)/(-3). Suppose 0 = -27*f + 62 + 46. Suppose 6*t = y*s + f*t - 8, 8 = 2*s + t. Calculate the smallest common multiple of 17 and s.
51
Suppose 6 = 2*v + 5*u - 55, u = 5. Let d be -3 - v/(-8) - (-7746)/710. Let q = 17/284 - d. Calculate the common denominator of 21/10 and q.
10
Let r = -390/7 + 2153/35. Calculate the common denominator of 11 + -2 + -3 - 171/(-54) and r.
30
Let a = 79537/18 - 4419. Calculate the common denominator of a and -7/1436.
12924
Let z = -15047 - -150389/10. Find the common denominator of -31/440 and z.
440
Suppose 0*a = -4*a + 16. Let z = 80547 + -80541. Calculate the smallest common multiple of z and a.
12
Let y(w) = w**3 - 11*w**2 + 12*w - 15. Calculate the smallest common multiple of y(10) and 1 + (-308)/(-24) + (-15)/(-90).
70
Suppose 2*p = 5*g + 27, 2*p - 4*g = 5*p - 6. Calculate the least common multiple of 2480 and p.
7440
Let y be ((28/(-175))/2)/(1144/(-5509690)). Let l = -5012/13 + y. Find the common denominator of -75/8 and l.
440
Suppose 0 = -0*h + 2*h - 4*w + 52, -2*h + w = 58. Let x = -1442 + 4372/3. Find the common denominator of h and x.
3
Suppose 34*g - 3393 = 43*g. Find the common denominator of 51/20 and g/696 + 10/8.
120
Let t = -934091/1160 + 3221/4. What is the common denominator of t and -79/22?
12760
Let y be (-9 - 855/12)/(1/24). Let g = -17308/9 - y. Find the common denominator of 67/24 and g.
72
Let x = -23162/165 + 2272/15. Let n = x + -2273/198. Let m = -40661/6 - -6797. Find the common denominator of m and n.
18
Let i(m) = m**2 - 20*m + 61. Calculate the least common multiple of 585 and i(17).
1170
Suppose -24*m = 777 - 2437 - 2564. Calculate the least common multiple of 46 and m.
4048
Let g(n) = 8*n + 128. Calculate the smallest common multiple of 203 and g(5).
4872
What is the common denominator of -89/3690 and (-8 - -11) + 474123/(-158301)?
40590
Let c(q) = 4*q - 83. Let y be c(23). Suppose -55 = -5*u + 3*i, -u - 12 = y*i - 5*i. Let n = -50 + 70. What is the least common multiple of u and n?
40
Calculate the common denominator of ((-2065)/(-495))/7*108/72 and -47/6.
66
What is the common denominator of 6/(-10) + (-3056)/(-360) and 60/(-144)*(-42)/(-9)?
18
Suppose 12*h + 84 - 12 = 0. Find the common denominator of (38/h)/((-32)/6 + -2) and (-210)/(-8)*(-12)/(-110).
22
Let r = -104/211 + 14183/23210. What is the common denominator of 13/4870 and r?
53570
Suppose -3*p + p + 68 = 4*a, 3*p - 110 = -4*a. Let n = -144 + 147. Suppose 5*k = -j + 10, -5*j - 11 = n*k - j. What is the smallest common multiple of p and k?
42
Let f be 4/6*(-27864)/27. What is the common denominator of 91/2 and (-436)/f - 2/4?
172
Let y = 71211/4358920 - 20/1847. What is the common denominator of y and -99/1180?
2360
Let j = 16197 - 14176. Calculate the smallest common multiple of 141 and j.
6063
Suppose 8*f + 1075 - 1291 = 0. Suppose -2*q - 366 = -3*d - 0*d, -5*d - 3*q = -591. Calculate the lowest common multiple of d and f.
1080
Let i = 26/127 - 2471/1524. Calculate the common denominator of 101/1070 and i.
6420
Suppose -625 = -5*j - 5*s, 5*j + s - 186 = 419. What is the common denominator of 13/60 and (-269)/240 + 12/j?
240
Find the common denominator of ((-10)/(-4200)*-212)/(6/5) and 19/90.
630
Let g = 3004 + -2999. What is the smallest common multiple of 266 and g?
1330
Let i(z) = -43*z + 4 + 22*z - 16. Let g be i(3). Calculate the common denominator of 4 + 3 + g/(-36) and 97/14.
84
Let f be (-6)/40*(-114977)/1366. Let d = f + -2/3415. Calculate the common denominator of -41/20 and d.
40
Let f(m) be the third derivative of m**4/6 + 10*m**3/3 + 10*m**2. Let c be f(7). Suppose c*z - 49*z + 4 = 0. Calculate the least common multiple of z and 28.
28
Let a = 25431314/11 - 2309754. Let k = a + -2181. Find the common denominator of -6 - -10 - -17*4/32 and k.
88
Let h be ((-50)/4)/((-40)/16 + 3). Calculate the