
Let f = -1851 - -159221/86. What is the common denominator of -71/430 and f?
430
Let c(p) = p**2 - p + 12. What is the lowest common multiple of c(0) and (-7)/(-2)*(3888/(-168) + 24)?
12
Let j(k) = -3*k - 29. Let c be j(-13). Let v be (14/4 - 3)*c. Suppose 5*s + 3*p = 66, 22 - 74 = -v*s + 4*p. What is the least common multiple of 10 and s?
60
Find the common denominator of (-9 - -85*15/63) + -10 and -85/1036.
3108
Suppose -6*k = 2*o - 10*k - 424, -5*o + 5*k = -1030. Calculate the smallest common multiple of 180 and o.
1800
Let o = 386 - 351. Calculate the common denominator of (-59)/(-45) - 42/o and -3/19.
171
Suppose 3*w + i - 2*i = 37, 51 = 4*w - 3*i. What is the least common multiple of w and 197?
2364
Let s be 264/(-15) - (-2)/4. Let v be (18/7)/((-10)/56). Let c = s + v. Find the common denominator of c and -13/8.
8
Calculate the common denominator of 1*(1215/812)/15 and -1/308.
8932
Suppose -z + 46 = -2*w, 0 = z + 2*w - 440 + 418. What is the least common multiple of 1510 and z?
25670
Let q = 447 + -419. Let r be -18 + -2 - (-4 + 1). Let z = r + 18. Calculate the smallest common multiple of z and q.
28
What is the common denominator of (-112)/(-18)*(548/(-822) - (-10)/(-12)) and 23/3?
3
Suppose -4*m + 275 = -501. What is the lowest common multiple of m and 40/50*(24 + 1)?
1940
Calculate the smallest common multiple of 10 and 925956/890 - (-2)/(-5).
1040
Suppose -8*y - 13 = -10*y + h, -4*h = -2*y + 4. Find the common denominator of 501/828 + y/(-32) and -47/6.
138
Let v = 33850 + -3317333/98. Calculate the common denominator of v and -9/1316.
9212
Let f = 1048428147/807200 - 46/25225. Let v = f + -1299. What is the common denominator of v and -9/8?
32
Let a(t) = 3*t - 24. Let l be a(3). Find the common denominator of ((-2)/15)/(12/(-305)) and 2/(-8) - 5/(l/34).
36
Let s = 1020 + -138. Calculate the least common multiple of 180 and s.
8820
Let l = -257 - -259. Suppose 0 = 5*v + 2*t - 1294, -6*v + l*t = -2*v - 1046. Calculate the least common multiple of v and 20.
260
What is the common denominator of 34/4203 and (-15 + 12)*-2 + (-46)/6?
4203
Suppose 11*l = -s + 13*l + 234, -5*l = -s + 219. Let q(a) = a**2 - 3*a + 1. What is the least common multiple of s and q(5)?
2684
Suppose 9*t - 5 = 13. Suppose 2*c - 3*g = 7*c - 788, 3*c + t*g = 473. What is the lowest common multiple of 3 and c?
471
Let l = -529 - -723. Suppose 8*j + l = 578. Calculate the least common multiple of j and 14.
336
Let i(m) = m**3 + 19*m**2 + 33*m - 15. Let s be i(-17). Suppose s*r = 5*r - 90. What is the smallest common multiple of r and 30?
30
Let b be 682566/216 - 4/(-1 + 37). Let i = 3158 - b. What is the common denominator of i and (840/138)/(12/2)?
276
Suppose -i + 32494 = 2*r, 3*r - 162442 = -2*i - 3*i. Let w = -1266887/39 + i. What is the common denominator of -19/9 and w?
117
Let m = 6549 - 104857/16. Let a = -8948 - -572607/64. What is the common denominator of a and m?
64
Let l(i) = i**3 + 6*i**2 + 9*i + 32. Let p = -106 + 101. Calculate the least common multiple of 18 and l(p).
36
Let i = 279790663945084/23991 + -11662317702. Let g = 2/2181 - i. Calculate the common denominator of -16/9 and g.
99
Let j = -1861237/179740 + 986/95. Find the common denominator of j and -37/129.
5676
Suppose 4*f + 100 = w, 15 = 4*w - 3*f - 372. What is the lowest common multiple of 320 and w?
960
Suppose -26*m + 598 + 26 = 0. Calculate the lowest common multiple of (-8)/4*1 - (-70 + -1) and m.
552
Let v = -3735/17 - -150981/680. Calculate the common denominator of -87/550 and v.
2200
Suppose 1 = w, 5*s - 119 - 135 = w. Suppose 69 = 3*y - s. Find the common denominator of -87/20 and -1 + -4 - (-445)/y.
40
Let j = 31091/3 + -10353. What is the common denominator of j and -151/180?
180
Let q = -881369 - -3542579/4. Let x = q - 4251. Find the common denominator of x and ((-1)/(-6))/(9/(-70)).
108
Let f = -3/574 - 18601/10332. What is the common denominator of f and -101/816?
2448
Let z(j) = -5*j**2 + 5*j + 17. Let y be z(-8). Let x = y - -375. Calculate the smallest common multiple of x and 20.
160
Suppose f + 7 = 3*l, 0*l = l - 5*f - 7. Let q be (2/(-7) - 1506934/878955) + l. Let n = -19939/4566 - q. What is the common denominator of -151/24 and n?
120
Let s = 20 + -16. Suppose s*q - b = 106, 12*q + b - 128 = 7*q. Calculate the lowest common multiple of q and 143.
286
Let a = 549/302 - 100703/46508. Calculate the common denominator of a and 55/756.
8316
Let k be 2/7*1*7. Suppose -x - t = 2*x + 203, -x + k*t = 63. Find the common denominator of (-3)/6 + x/8 and 7/4.
8
Suppose 5*j + 4*q - 233 = 7*q, 3*j + 2*q = 174. What is the least common multiple of j and 156?
156
Let t = -1/6113 + 544107/305650. Find the common denominator of t and 7/24.
600
Suppose 11*w - 9*w = 2*c + 14, -2*w = -3*c - 12. What is the least common multiple of 6876 and c?
6876
Let y = -5473178/1649 + 56346/17. Let u = y + -30232/679. Let n = u - -2351/42. Find the common denominator of -19/4 and n.
12
Find the common denominator of 3*(-5)/(-45)*4642/(-18480) and -5/756.
7560
Suppose -13*f = -12*f - 134. Let v = 461 - f. What is the common denominator of -47/46 and 24/42 + v/420?
460
Let t = 1865 - 1847. What is the lowest common multiple of t and 4090?
36810
Let l = -483710080561/102 - -4742175224. Let d = -80467 - l. Find the common denominator of -23/9 and d.
306
What is the common denominator of 1/(12/(-249))*4/(-10) and (-46206)/3900 + 14 - (1 - -1)?
650
Suppose -4*f + 64 = -h, 5 = 3*f - h - 43. Calculate the smallest common multiple of f and ((-96)/(-15))/(36/(-20) - -2).
32
Let o = -3/8072 + -28749/20180. Calculate the common denominator of -42/25 and o.
200
Let k = 213853/896350 - 102/1379. Calculate the common denominator of k and -57/50.
650
Let s = -450318 + 216152459/480. What is the common denominator of 17/3200 and s?
9600
Let u = 94 + -116. What is the common denominator of ((-6)/(-8))/(u*9/(-312)) and -23/3?
33
Let n be (-1 - 13/(-4))/(8/(-288)). Let r be -3 - 93252/n - -2. Let m = r + -1148. What is the common denominator of 14/33 and m?
297
Let g(f) = -4*f - 13. Let q be g(-9). Let u = -18 + q. Suppose 4*i - 3*k = -k + 22, i = 5*k + 19. What is the least common multiple of u and i?
20
Let t = 16904834/57 + -296575. Let j = 1/2719 + -116923/16314. What is the common denominator of j and t?
114
Let c = 64444 + -2642434/41. Let w = -79114813/40099476 - 50/81503. Let f = w + c. What is the common denominator of f and 139/12?
12
Let c = 137686143/4 + -2061717407/60. Let y = c - 59585. Calculate the common denominator of y and 37/8.
120
Let t(s) = s**2 + 12*s - 228. Calculate the lowest common multiple of 650 and t(-34).
2600
What is the common denominator of 1/(-3)*2992/264 and 13/148?
1332
Suppose -5*p + 4*d = -366, 0*d - 298 = -4*p - 2*d. Suppose 0 = -b + v + 34, 3*b + v - p = -3*v. What is the least common multiple of 12 and b?
60
What is the common denominator of 101/2 and ((-35)/(-8425))/(-7)*(-690)/(-12)?
674
Let v(q) = 2*q**2 + q + 31. Let l be v(0). Suppose -154 = l*z - 1363. Calculate the least common multiple of 5 and z.
195
Suppose -412*s = 292 - 8160 - 2020. Suppose 2*h = 31 + 5. What is the smallest common multiple of h and s?
72
Let t(v) = v - 1. Let f be t(-3). Let u = 565 - 351. What is the common denominator of (u/12)/(f + (-21)/(-9)) and -107/30?
30
Calculate the least common multiple of 306 and (-5056)/(-736)*23 + (-1 - 7).
7650
Find the common denominator of -101/12 and 29626/7488*-2 + 2*4.
1872
Suppose 2*o - 5*o = -18. Let c be (5 + -8)*296/o. Find the common denominator of -12/5 and ((-12)/(-27))/(-2) - c/(-90).
15
Suppose -183*n - 522*n = -274950. Calculate the lowest common multiple of 360 and n.
4680
Suppose 0 = -z + 1, 5*t - 74 = -5*z + 621. Calculate the lowest common multiple of t and 9.
414
Let x = 473/17 - 408791/14688. Calculate the common denominator of x and -71/192.
1728
Let g = -120 - -191. Suppose -2*v = 29 - g. What is the least common multiple of 8 and 6/4 + v/2?
24
Let d(f) = 243*f - 1029. Calculate the least common multiple of d(13) and 2.
2130
Let j = 322235184 + -357036607973/1108. Let y = -1/554 - j. Calculate the common denominator of -27/142 and y.
284
Let w = 403 + -2026/5. Suppose -935 = 3*a + 5*p, -2 = p - 1. Calculate the common denominator of 222/(-