 - 7160. Calculate the common denominator of -31/452 and m.
452
Let b(w) = -w**3 + 9*w**2 - w + 9. Let v be b(9). Suppose v = -2*y - 2*y + 12. Let h(c) = -c**2 + 13*c + 1. Calculate the least common multiple of h(13) and y.
3
Let b(a) = -25*a + 6 + 9*a + 3. Let n be b(-5). What is the common denominator of -5/2 and 6 + n/2 - 0/1?
2
Let n = 7 + -2. Suppose n*y + 20 = 40. What is the lowest common multiple of 8 and (32/(-24))/(y/(-42))?
56
Suppose 3*b + 0*b + 5*c - 81 = 0, -2*c + 154 = 5*b. Suppose 5719 = -32*d - 14*d + 7007. What is the lowest common multiple of b and d?
224
Let g = -6832 - -6838. What is the smallest common multiple of 73 and g?
438
Let j(o) be the second derivative of o**3/6 + 15*o**2/2 - 474*o. Let d = 3 + -3. Calculate the lowest common multiple of 33 and j(d).
165
Let o be ((-2)/(-21))/1*41088/(-16). Let j = -243 - o. Find the common denominator of j and -115/56.
56
Let f = -1799 - -3359. Find the common denominator of -22/45 and 2/(-5) - 5746/f.
180
Suppose 0 = -2*p + 2*v - v, -p - 4*v = 0. Suppose 3*y = -4*n + 6*y + 646, 3*n + 2*y - 476 = p. Calculate the least common multiple of 44 and n.
1760
Suppose 4*x - 2*t = -5*t + 71, x = 3*t + 14. Suppose -41 + 245 = x*y. What is the common denominator of y and 59/3?
3
Suppose 2*k + 9734 = 4*n, 0 = -n - 18*k + 17*k + 2426. Calculate the least common multiple of 6 and n.
14586
Suppose -3*w + 2*y = -0*y - 281, 0 = -5*w + 2*y + 475. Suppose -w*t = -96*t - 12. Calculate the lowest common multiple of 58 and t.
348
Suppose 2*q + 8*r - 10 = 13*r, 0 = 4*q - 2*r - 20. Suppose -3*x = -q*a + 312, 3*a - 2*a - 52 = -2*x. Calculate the smallest common multiple of 50 and a.
300
Let k = 886/5 - 34133/190. What is the common denominator of 80907/2172 - (1 - (-3)/4) and k?
38
Let p be 1 + -3 - (-2 - -1). Calculate the lowest common multiple of ((9 - -71)/8)/1 and (p - 3)*14/(-8).
70
Let c(x) = 2*x**2 + 49*x - 26. Let t be c(-25). Calculate the common denominator of -19/6 and t/(-9)*1235/38.
18
Suppose 2*u = -5*w + 492, 15*u + 120 = w + 10*u. What is the smallest common multiple of w and 48/60 + 1188/15?
400
Find the common denominator of (74 - 76) + 422/294 and 55/21.
147
Let f = 1 - -31. Let l(r) = -452*r - 1786. Calculate the smallest common multiple of l(-4) and f.
352
Suppose 0 = 2*m + 6, -6*c + 3*c = -2*m - 18. What is the common denominator of c - (2 - (-139)/(-6)*1) and -13/12?
12
Calculate the common denominator of 18/((-159768)/(-17956)) - 2 and 3/49.
15533
Suppose -5*s + 1 = -a, -21*a - 2*s + 6 = -20*a. Calculate the smallest common multiple of a and 1196.
1196
Suppose 10*m + 3*m - 312 = 0. Find the common denominator of m/(-9) + 7 + (-8 - -3) and -91/398.
1194
Let h = 699821 - 314919271/450. Calculate the common denominator of h and -47/450.
450
Suppose -260 = -2*w + 36*v - 32*v, w - 141 = v. Calculate the smallest common multiple of w and 41/2 - 1/2.
760
Suppose -49*b + 54*b + z = 2206, -4*b - 4*z + 1784 = 0. Calculate the smallest common multiple of 440 and b.
440
Suppose -2*n - 2*n = 8. Suppose -14*q + 12*q + 19 = g, 3*q + 2*g - 30 = 0. What is the common denominator of (-28)/5 - n/8 and q?
20
Let g = -563 + 701. Calculate the lowest common multiple of g and 322.
966
Suppose 4*l + 12 = 24. Let t = 4/37 + -45/74. What is the common denominator of t and 0 + 1 + 153/12 + l?
4
Let y = 2909 - 14288/5. Suppose 43 + 59 = -2*f. Let b = f + y. Find the common denominator of 29/8 and b.
40
Let z = -2971/126 + -16/63. Let h be (11 - 1)*(-52)/8. What is the common denominator of ((-2)/(-6))/((-78)/h) and z?
18
Let w(p) = 3*p**2 - p - 1. Let u be w(-1). Let h = 19669/18 - 1089. What is the common denominator of 22/(-4)*u/12 and h?
72
Suppose -174*o + 60288 + 28626 = 0. What is the smallest common multiple of o and 292?
2044
Let s = -41548/10521 - 5/1503. What is the common denominator of 1*(-80)/36*(-624)/(-455) and s?
21
Calculate the common denominator of ((-22)/(-4)*1)/(87216/4108) and 39/38.
10488
Suppose 25*k - 29*k - 5*x + 16 = 0, 2*k = 4*x + 8. Suppose 4*b + k*w = 48, -b - 8 = -5*w - 50. What is the smallest common multiple of b and 2?
34
Let n be 6393*(0 + (-25)/(-120)). Let g = -1334 + n. What is the common denominator of -71/4 and g?
8
Suppose 0 = -8*b + 42 - 242. What is the smallest common multiple of 11 and 15*(240/b)/(-4)?
396
Suppose 317 = 3*k - 47*k + 1417. Calculate the lowest common multiple of 2995 and k.
14975
Let j = 9173/4248 + 26/531. Calculate the common denominator of -43/4047 and j.
32376
Let i = -384560107/417018 - -4/208509. Let c = 936 + i. Let y = -72934/21 + 3472. Find the common denominator of c and y.
42
Suppose 10*j - 5*j + 15 = 0. Let o be 172985/150 - 6/j. Let f = -1156 + o. Find the common denominator of f and -115/12.
60
Calculate the common denominator of (-126)/(-90) + (-13528)/5520 and 121/60.
1380
Calculate the common denominator of -7/473 and (-723)/(-2079) - 4/18.
9933
Let c be (-490652)/12*(-1 - 38/(-32)). Let z = 7670 + c. What is the common denominator of z and (-1 - 3) + ((-973)/(-30))/7?
240
Let v(o) = 40*o + 3503. Calculate the smallest common multiple of v(-84) and 858.
858
Let y = -178007/30 - -5945. Let i = 417/20 - y. What is the common denominator of i and (1/3)/((-4)/(-255))?
12
Suppose -3*q - 4*k = -34, 3*q - 4*q = -2*k - 18. Suppose -q*x + 515 = -9*x. Let y = x - 57. What is the lowest common multiple of y and 10?
230
Let u = 7 - 2. Let h = 694 + 118. Let c = h - 802. What is the smallest common multiple of c and u?
10
Let g be ((-68474)/6839 - -10)*(-1)/(-1). Let m = -46387/38103 - g. Calculate the common denominator of 67/130 and m.
390
Suppose -5*d - 3*g = 5, -4*d + 85*g - 89*g - 12 = 0. Let a(k) = -3*k**3 - 6*k**2 - k + 2. Calculate the smallest common multiple of d and a(-7).
744
Let u be (-2)/9 - 2/36*-7078. Let k = u - 278. Calculate the common denominator of ((9/(-60))/(-1))/((-6)/k) and 75/28.
56
Suppose 0*f = 8*f - 16. Let g = 125 - f. Suppose -g = 3*l - 141. Calculate the smallest common multiple of l and 9.
18
Let a = 38121/7 + -25655356/4711. Let s = 8398/795021 + 54064709449/4280393064. Let k = a - s. What is the common denominator of k and -25/12?
24
Let s = 617897/2 + -308967. Calculate the common denominator of (-2)/(-5) - 303/(-180) and s.
12
Calculate the common denominator of 97/1320 and (-1 - (-302)/(-1540)) + 2360/2065.
9240
Let v(b) = 2*b**3 + 14*b**2 - 5*b + 25. Let j be v(-7). Suppose -j = -2*i + 4*m, 2*i - 3*i = 2*m - 10. What is the smallest common multiple of 7 and i?
140
Let n = 5314 + -5298. Calculate the lowest common multiple of n and 326.
2608
Let m be (-17)/408*(-14956)/27. Let j = m + 7/81. Calculate the common denominator of j and -101/66.
66
Suppose 981*b - 988*b = -306530. Let z = b - 1313881/30. Find the common denominator of -34/75 and z.
150
Let v(z) = -4 - 3*z**3 - z**2 - z**2 + z - 3*z**2. Let j be v(4). Calculate the least common multiple of j/(-24) - 4/(-6) and 4.
12
Let r(g) = 6*g**2 + 15*g + 1. Let c be r(-3). Find the common denominator of 2/c - 552/(-80) and (-4)/(-3)*(-36)/11.
110
Let t = -46965 + 3522428/75. Calculate the common denominator of t and 91/160.
2400
Suppose 1755 = 37*q - 2500. Calculate the smallest common multiple of 375 and q.
8625
Let k = -338381/2408 - -1125/8. Find the common denominator of k and -41/6622.
6622
Suppose 203*c - 79488 = -4*c. Calculate the smallest common multiple of 192 and c.
384
Let h = -9628558489/30 + 320996632. Let x = 44687 - h. Calculate the common denominator of 1/33 and x.
330
Let i = -63079/3 - -5971499/284. Calculate the common denominator of i and -99/104.
22152
Suppose -z = 2*u + 3*u - 1393, -2*z + 2*u + 2834 = 0. Calculate the lowest common multiple of z and 1570.
14130
Suppose -7*p + 3039 = -391. Suppose 3*m - d - 319 = 166, 0 = 3*m + 4*d - p. What is the lowest common multiple of 36 and m?
324
Let j be (-17 - -12) + (-30)/(-2). Suppose -3*o - j - 23 = -h, 5*o = -h + 41. Calculate the smallest common multiple of 30 and h.
180
Let l be 244776995342/(-11654065360) + 8/4 - 2. Let f = l - -2/20810831. Let n = 207/10 + f. Calculate the common denominator of -93/8 and n.
56
Let u = 413 - 191. Let d(g) = -4*g**2 - 5*g - 3. Let n be d(-4). Let p = 59 + n. Calculate the least common multiple of u and p.
444
Let l = -114313 + 49726178/435. Find t