mmon multiple of 17 and y.
170
Let i(p) = -p**3 - 32*p**2 - 59*p + 18. Let c be i(-30). Calculate the common denominator of ((-329)/(-168) - 7)/(27/c) and 179/30.
270
Suppose -q = n - 2*n + 9, q - 3*n = -5. Calculate the smallest common multiple of 23/(-3) + 7 - q/3 and 257.
771
Suppose 0 = -o - 6*o + 35. Suppose -3*g + 0 + 6 = 3*s, -o*g = 0. Suppose -24 = -5*i + s*i. What is the lowest common multiple of i and 54?
216
Let u = -9865/7 - -1450. Let z = 18467/7 + -2676. Let r = z + u. Calculate the common denominator of r and -2/5.
35
Let b(z) = z**3 + 7*z**2 - 28*z - 187. Calculate the lowest common multiple of 429 and b(-5).
429
Let m = 79 + -43. Suppose -x + 5*c = -27, -4*c + 8 - m = -4*x. Suppose d + 2*d - 29 = -5*g, x*d - g = 15. What is the lowest common multiple of 1 and d?
8
Let q(j) = -j**3 - 16*j**2 - 17*j - 28. Let d(z) = z**2 + 13*z + 12. What is the smallest common multiple of d(-13) and q(-15)?
12
Let i(a) = -2*a**3 - 21*a**2 + 8*a + 25. Let y be i(-11). Suppose 4*f - y - 6 = 0. Calculate the least common multiple of 11 and f.
176
Let p = -1494 - -10488/7. Let f = 3424 - 1064862/311. Let h = f + 8072/2177. Find the common denominator of h and p.
7
Let o(c) = -7*c - 150. Let i be o(18). Calculate the common denominator of i/30*30/(-456) and -49/18.
342
What is the least common multiple of 6160 and (-17612)/(-40) - (-279)/(-930)?
6160
Let f = 12 - -6. Suppose l = -2, 100 = -g - 3*l + 279. Suppose 25 = 7*a - g. Calculate the lowest common multiple of f and a.
90
Suppose -20 = c - 6*c. Calculate the common denominator of (0 + c + -6)*159/36 and -37/20.
60
Suppose 24*j = 19*j + 35. Calculate the lowest common multiple of (48/10)/((j - 4)/45) and 8.
72
Let r be ((-42)/8)/(27/(-288)). Suppose -r = -k - 8. Calculate the least common multiple of k and 32.
96
Let h be 2/4 - 7566/406. Let l = -383/29 - h. Calculate the common denominator of (((-240)/(-126))/(-4))/(24/14) and l.
126
Find the common denominator of 2/(-5) + 489/310 and (48/672)/((10/(-6))/((-18984)/(-144))).
620
Suppose 324 = 18*w + 9*w. Let q(u) = u**2 + 4*u. Let n be q(3). Let d = 53 - n. Calculate the lowest common multiple of w and d.
96
Let a = 283560916/2393 + -118496. What is the common denominator of a and 13/10?
23930
Calculate the common denominator of 6/(-1701)*106708/(-1776) and 29/756.
6804
Let i = 2380 + -2356. Calculate the smallest common multiple of 3/((-3)/81*-3) and i.
216
Let x be (((-4)/(-35))/(-2))/(30639/(-105)). Let s = 132697/367668 + x. What is the common denominator of s and -71/24?
72
Suppose 12*a + 2*a + 7*a - 88011 = 0. What is the smallest common multiple of 5334 and a?
58674
Let t be -1 + 1679421/165864 - -3. Let k = -2/6911 + t. Let c = 9901/8 + -3709/3. Find the common denominator of c and k.
24
Suppose 15693 = -42*k + 79827. What is the least common multiple of 33 and k?
16797
Suppose -2*p - i = 2, 5*p - 2*i = -4 + 8. Suppose 24 = -p*w + 2*w. Let v = -3572 + 3578. What is the lowest common multiple of w and v?
12
What is the common denominator of 1227/308 - (93/(-248) - 82/(-176)) and 161/180?
1260
Let k = 178985/16 + -11183. Find the common denominator of k and -89/432.
432
Let t = -2/13131 + -385046/853515. Calculate the common denominator of -121/260 and t.
780
Let c be 1728976/(-84)*6/(-16). Let i = c - 7713. What is the common denominator of i and (-6)/(-33)*-1 + 1186/(-132)?
42
Let z = 37 + -35. Suppose 4*j = z + 74. Let u = -11 + j. What is the lowest common multiple of 3 and u?
24
Let r = 43 - 41. Suppose 0 = 4*y + 8, 2*j + 0*j - 448 = r*y. Calculate the lowest common multiple of j and 10.
1110
Find the common denominator of -10 - (-8 + 1470/(-648)) and 53/108.
108
Let p = -52 + 52. Suppose h - 3 = p, h - 2*h - 19 = -2*q. Suppose 5*z - 2*b - q = 0, -3*z - 3*b = -z + 7. What is the least common multiple of 5 and z?
5
Let a = -55 - -42. Let v(z) = z**2 + 11*z - 22. Let h be v(a). Suppose h*n = 9*n + 15, -4*n + 68 = 4*c. Calculate the least common multiple of c and 66.
660
Calculate the common denominator of 25/176 and (3 + -6)/(-15) + 6744/2880.
528
Suppose 0 = t - 3, -3*w + 34 = -4*t - 35. Let g(p) = -2 - 2*p + p - 7 - 4*p + p**2. Calculate the smallest common multiple of w and g(-4).
27
Suppose -4*p + 1156 = k, 131*k - 133*k = 3*p - 872. What is the smallest common multiple of p and 1024?
9216
Suppose 0 = -3*z - x - 12, 15 = z - 2*z - 4*x. Find the common denominator of (z/72)/(5/435*3) and -4 + 4 + (-254)/(-96).
48
Calculate the smallest common multiple of (5 - 60/8)*-2 + -1 + 420 and 636.
1272
Let h(v) = -v**3 + v**2 + v + 21. Let t be h(0). Suppose 22 = -z + t. Calculate the common denominator of z and 107/10.
10
Suppose -d + 0*d + 1037 = -5*t, -2*t = -4*d + 422. Calculate the lowest common multiple of (t/36 - 7)/((-3)/16) and 221.
884
Let v be -1532*2/18*8601/976. Suppose -l + 3*l - 2980 = 0. Let a = v + l. What is the common denominator of 43/6 and a?
12
Find the common denominator of 115/224 and (-72)/42 + 1395/1134.
2016
Let u = -1044 - -1078. What is the common denominator of u and (115/(-4))/(-5) - 0?
4
Suppose -269*b + 1782 = -242*b. What is the smallest common multiple of b and 506?
1518
What is the lowest common multiple of 170 and (7 + -3)/(86/172*(-2)/(-68))?
1360
Let c(l) = -128*l - 57. Let j be c(27). Let a = 136976/39 + j. What is the common denominator of -37/33 and a?
429
Find the common denominator of 50/3437 and -26 - -26 - (1 + -144)/((-70704)/(-24)).
20622
Let x be 1370/104 - (-3)/(-12). Let v be -5 + (-305)/(-210)*(-2562)/468. Let d = v + x. Find the common denominator of d and 81/4.
36
Suppose 2*g - 157 = -c, 2*g = 3*g - 4*c - 74. Suppose 6 = -3*t, -t = 2*x - 0*t - g. Find the common denominator of 294/8 - (-2)/8 and x.
1
Let l(y) = -y**3 + 65*y - 77*y + 3*y**2 + 1 - 4*y**2 - y**2. Let m be l(-9). Let o = 4720/7 - m. Find the common denominator of o and -62/9.
63
Let p(q) = 7 - 3*q + 4*q**2 - 5*q**2 + 15. Suppose 4*y - 6 = -c, 4*c + 0*c = -y + 54. What is the least common multiple of p(-6) and c?
28
Let m(l) = l**3 - 11*l**2 - 491*l + 7291. Suppose 4*w - n - 36 = 4*n, 0 = w + 2*n - 9. Calculate the lowest common multiple of w and m(15).
7434
Suppose 3*p - 45 = 15. Let l be -153 + (-4)/10*-5. Let b = l + 167. What is the least common multiple of p and b?
80
Let u = -2422/9 + 1627/6. Let c = -8571/8 + 764. Let a = -314 - c. What is the common denominator of a and u?
72
Let j be ((-12)/(-8))/((-3)/(-792)). Calculate the common denominator of 591/j + 6/(-4) and -58/3.
132
Find the common denominator of 3/35*460/(-552) and -19/7622.
53354
Suppose -4*o + 122 = -2. Let k = o - 175. Calculate the common denominator of 1346/k + (-1)/(9/(-2)) and 93/34.
136
Calculate the common denominator of 1/((-960)/(-88)*(-18)/55) and -38/135.
2160
What is the common denominator of (3 - 6 - -7) + (-2622)/207 and -69/344?
1032
What is the common denominator of 163/1722 and ((-20)/14760)/(6/(-354))?
5166
Let n(o) = 6*o + 28. Let v be n(-4). Let k be -539 + v + -1 + -4. What is the common denominator of 11/10 and (-12)/20*k/64?
80
Suppose 2*b + 3684 = -4*b. Let w = b - -8. What is the common denominator of -77/12 and (w/45)/((-24)/10)?
36
Let o = -27003 + 323351/12. Let q = -16813/300 - o. Find the common denominator of q and -16/15.
75
Let i(s) = -19411*s**3 - s**2. Let m be (-4)/6*12/16*-2. Let c be i(m). Let g = c - -1358913/70. Find the common denominator of g and -47/4.
140
Let k = 140 - 124. Find the common denominator of -33/5 and (k/64)/((-2)/152).
5
Find the common denominator of 92/299 - 448/27144 and -71/162.
4698
Suppose 5*s - 2022 = 3*o, -232 = -4*s + 4*o + 1376. What is the least common multiple of 270 and s?
18360
Suppose 0 = -2*q + s - 432, -5*s + 9 - 29 = 0. Calculate the common denominator of q*(-9)/(-42)*38/(-228) and -27/14.
14
Let k(b) = 220*b**2 - 868*b + 9. Calculate the least common multiple of 3660 and k(4).
69540
Let x = 118/965 + 38371/625320. What is the common denominator of x and 127/864?
2592
Let s = -361/91 - -31/7. Calculate the common denominator of s and (-194)/26*6253/(-1924).
52
Let w(u) = -u**2 - 29*u - 190. Suppose -72 = -10*d + 248. What is the smallest common multiple of w(-14) and d?
160
Suppose 4*q - 34 = 34. Suppose -5*s + 4*o = 67, 0*o - 39 = 3*s - 3*o. Calculate the common denominator of