14. Suppose -3*u + 13 = -v. Let k = -16 - -19. Calculate the lowest common multiple of k and u.
9
Suppose -a + 3*y = -7, -a - 4*a - 3*y = -53. Let i(n) = n - 54. Let m be i(12). Let u = 6 - m. Calculate the smallest common multiple of a and u.
240
Let a(g) = 13*g + 17. Suppose 0 = 3*o - 10*o + o. Calculate the least common multiple of a(o) and 11.
187
Calculate the common denominator of ((-3078)/(-95) + -4)*60/96 and (-881)/126 + (-4)/18.
28
Let z = -50 - -42. Let c be 1/2 - (-60)/z. Let r(l) = -l**2 - 7*l + 23. What is the least common multiple of 7 and r(c)?
161
Let q(k) = -k**2 + 19*k + 472. Calculate the lowest common multiple of q(-13) and 52.
728
Let z = -10 + 45. Let c(o) = 35*o + 247. Calculate the smallest common multiple of z and c(-7).
70
Suppose -2084*p - 9996 = -2168*p. Calculate the lowest common multiple of p and 3060.
21420
Let i be (-15)/(-4) + 2/8. Let t be (1 - 42/i)/(7/(-28)). Let v = -30 + t. What is the smallest common multiple of 11 and v?
88
Let c(k) = k**3 + 45*k**2 + 169*k + 34. Calculate the lowest common multiple of 441 and c(-40).
11466
Suppose -2*g + 5*k + 808 = 0, 0 = -4*g + 46*k - 45*k + 1598. Calculate the lowest common multiple of 1064 and g.
3192
Let y be -1 - ((-18)/(-4))/(2/(-4)). What is the common denominator of (10/y)/((-470)/340 - -1) and (7/18)/((-1)/(-21))?
78
Let r(c) = -25 - 13*c - 21 + 41. Let h be r(5). Find the common denominator of -97/24 and (7/h)/(12/130).
24
Let w = 236681301734813/104356609428 - 1/1023104014. Let m = 2268 - w. Find the common denominator of m and -131/24.
408
Let n = -18 - -8. Suppose 106 - 364 = -43*v. Let z = v - n. Calculate the lowest common multiple of z and 2.
16
Let i(o) = -96*o**2 + 493*o + 9. Calculate the lowest common multiple of i(4) and 20.
1780
Let s = -137 - -130. Let u be 2 + (4 - (-2 - s)). Find the common denominator of -79/20 and -1 + -1 + 450/12 + u.
20
Suppose t - 3*c - 7 = 0, t = 4*c - 3*c + 17. Let h = -589405 - -589457. Calculate the lowest common multiple of h and t.
572
Let i = 18301/12980 - 1/1180. What is the common denominator of -41/990 and i?
990
Let j be -6 + -5 + 444/76. Let g = j + -542/57. What is the common denominator of g and 53/279?
279
Suppose 0 = 3*t - p + 414 + 3273, -p - 1233 = t. Find the common denominator of (-4)/10 + t/(-200) and 7/(-4)*(-2)/24*3.
16
Let s = -84703/30 - -2823. Calculate the common denominator of s and -47/3897.
38970
Find the common denominator of 140/490*(-34)/(-4) and -79/238.
238
Let v(x) = x**3 - 19*x - 3. Let a be v(-5). What is the common denominator of (237/(-15))/(32/(-10)) and 1 - (a/10)/(36/(-130))?
48
Suppose 4*j - 129 = -5*i, 2*j - 149 = -5*i + 3*j. Let v = i - 25. Calculate the common denominator of -51/20 and 2/v + ((-111)/(-9))/1.
60
Let p(b) = 120*b**2 - 49*b - 49. Calculate the least common multiple of 660 and p(-1).
1320
Suppose -4*r + 320 = -12*r. What is the common denominator of 71/42 and (-2)/(-4)*(r/(-6) - 1)?
42
Let d = -157 + 157. Suppose 0 = p + 3*w - 0*w + 6, d = -5*p - 4*w + 14. Calculate the least common multiple of 32 and p.
96
Let d = -1/6245 - 305961/274780. Let g(z) = -z**3 + 18*z**2 - 7*z - 18. Let a be g(9). Let k = a + -4594/7. What is the common denominator of k and d?
308
Suppose -256*z = -258*z + 660. Calculate the smallest common multiple of z and 4 - (-13 + 4 + 4).
990
Let n = 139 + -134. Suppose -4 = -4*t, -6*w + n*w + 2*t = -2. What is the smallest common multiple of w and 45?
180
Let n(u) = u**2 + 127*u - 3265. What is the least common multiple of 330 and n(-152)?
35310
Let c(a) = 134*a - 24. Let j be c(6). Let h = j - 5424/7. Calculate the common denominator of h and 79/10.
70
Let j(y) = 39*y**2 + 11*y + 6. Calculate the least common multiple of j(-1) and 510.
510
Calculate the least common multiple of 51/3 - (-1348 + 7) and 1552.
10864
Suppose 70 + 34 = 4*v. Let f(k) = k**2 - 10*k - 10. Let s be f(15). What is the lowest common multiple of 8/10*s/v and 4?
4
Let t = 334 + -349. What is the smallest common multiple of 1*(-2 + 9) + t/(-3) and 24?
24
Let l = -16486/17 + 15200449/15674. Let j = -384/23 - 695/92. Find the common denominator of j and l.
1844
Let l = -1 + 23. Let z(u) = u**2 - 516*u + 4076. Calculate the lowest common multiple of l and z(8).
132
What is the lowest common multiple of (258/(-215))/((-63)/(-30)) - 900/(-7) and 120?
1920
Find the common denominator of ((-287)/(-105))/(2844/(-162)) and 75/1738.
8690
Find the common denominator of ((-473)/(-42570))/((-61)/(-291)) and 33/20.
3660
Let t(q) = -9*q**2 + 92*q - 95. What is the smallest common multiple of t(4) and 645?
645
Let t = -57/103 + 10163/5150. Find the common denominator of t and -145/6.
150
Suppose -86*t + 952 = -81*t - v, 5*v - 154 = -t. Calculate the smallest common multiple of 420 and t.
3780
Let d = 460413/645520 - 6/8069. Calculate the common denominator of (172/60)/(2/3) and d.
80
Let s = -218 - -235. Let h(g) = -g + 62. Calculate the smallest common multiple of h(s) and 75.
225
Let w = -270 + 275. Let l(x) = 2*x**2 - 9*x + 11. Calculate the least common multiple of l(w) and 168.
336
Let v be ((-10982)/(-15))/(-38) - ((-3)/(-10))/(-3). Let s be (-957)/(-6)*(-2)/15. Let q = v - s. Find the common denominator of 109/44 and q.
220
Let w = -21/265 + 3268/37895. Find the common denominator of 35/936 and w.
10296
Let r = 58444/23 + -177670289/69920. Find the common denominator of 151/5472 and r.
27360
Let c be 4833*(5 - (-2 + 10)). Let g = c + 304399/21. What is the common denominator of g and 76/27?
189
Suppose -108 = 92*x - 94*x. Let o = 126 - 81. Calculate the smallest common multiple of x and o.
270
Let r be (1 + -8)*2*-1. Calculate the common denominator of (25/12)/(504/(-2304)) - -10 and (r/(-6))/((-10)/(-26)).
105
Let b(g) = 8*g + 124. Let m(f) = 2*f**3 - 55*f**2 + 25*f + 40. Let h be m(27). What is the smallest common multiple of 40 and b(h)?
120
Let q(l) = -13*l - 17. Let b be q(-3). Suppose -4*r = u - b + 95, -u = -3. Let c = -14 - r. What is the lowest common multiple of 11 and c?
55
Let w(p) = 14*p - 4. Suppose 2*d - 3*t - 22 = 0, -3*d = -2*d + 4*t. Let o = 12 - d. Calculate the smallest common multiple of w(4) and o.
52
Let r be 65201899/(-798) - (0 - -5)/(-15). Let c = -81705 - r. Calculate the common denominator of -51/4 and c.
228
What is the common denominator of -43/2004 and 151*10*(-20)/(-26400)?
22044
Let q = 121161/329 - 53/47. Let a = 41145/112 - q. What is the common denominator of a and -85/4?
112
Let q(t) = -22*t - 70. Let n be q(8). Let g = 632 + n. Calculate the smallest common multiple of g and 10.
1930
Let z = -48/601 + -37913/14424. What is the common denominator of 1/152 and z?
456
Suppose -12*t + 16*t = 0. Suppose t - 6 = 3*c. What is the common denominator of 108/(-16)*c/1 and 69/8?
8
Let l = 70 - 74. Let w be l - (0/1 + (-6)/2). Let z(y) = -10*y**3 - y - 1. What is the least common multiple of 7 and z(w)?
70
Let r(q) = q**2 + 15*q + 52. Let x be r(-12). Suppose -x*t = -2*t - 294. What is the smallest common multiple of 36/(-16)*8/(-3) and t?
42
Let n be 1/3*36/4. Let x be 39 - ((-4 - (-24)/n) + -7). Find the common denominator of -2 + 0 + (891/x)/9 and -19/2.
14
Suppose -25*o + 781 = -24*o - 5*y, -2 = -y. What is the lowest common multiple of 28 and o?
3164
Find the common denominator of 2 + 228/(-95) + 45/42 and -55/189.
1890
Suppose 3*s = 2*s - 2. Let v(k) = k**2 + 41*k - 7. What is the least common multiple of 0 - 22*s/4 and v(-42)?
385
What is the lowest common multiple of -12 + 5 - 3753/(-2) - (-7)/14 and 1530?
16830
Suppose -2*a + 2*y + 121 = 37, -5*y = -10. Suppose a = 2*n - h + 5*h, -n = h - 17. Let p = 4787 - 4778. Calculate the least common multiple of p and n.
36
Let i = 2105047/66 - 31893. Find the common denominator of 41/44 and i.
132
Suppose 178*x - 27208 = 75*x - 76*x. Calculate the lowest common multiple of x and 328.
6232
Suppose 11*a = 603 + 365. Calculate the smallest common multiple of a and 136.
1496
Suppose l = -2*u + 7, 0 = -2*l - 2*l + u + 1. Find the common denominator of (l*4/18)/((-8)/50) and (-237)/(-60) - -1*2.
180
Let v = 280/71 - 12487/1420. Find the common denominator of v and ((-81)/28)/((-57)/(-2)).
2660
Let t = -88337/10 + 8826. Let w(a) = a**3 + 8*a**2 - 3*a - 10. Let m be w(-9). What is the common denominator of 56/66