n be m(-29). Suppose 0 = -16*g + 8 + n. What is the least common multiple of (-2 - 0 - -63) + -1 and g?
60
Suppose 3*x + 13116 = -j - 3*j, -4*x - 17457 = -5*j. Let o = 7189/2 + x. Let v = o + 798. What is the common denominator of v and -53/18?
18
Let o = -35308174/917 - -38504. What is the common denominator of o and 37/1441?
10087
Let a(p) = p**3 + 39*p**2 + 35*p - 102. Calculate the least common multiple of 44 and a(-38).
132
Suppose f - 130 = -5*u, 0*f = -5*f + u + 676. Let k(t) = 7*t + 11. Let m be k(-5). Find the common denominator of 36/f*(-1089)/m and -49/8.
40
Suppose 188 = 2*u - 2*z, -6*z + 446 = 5*u - 3*z. Calculate the common denominator of -23/375 and (u/42*-4)/22.
4125
Let h = 11863 + -355841/30. Suppose -4*t - 1244 = -g, 2*t + 253 = -2*g + 2691. Find the common denominator of (1411/g)/((-2)/6) and h.
120
Suppose 6*g = -3*z - 64 + 61, 4*z - 2*g - 26 = 0. What is the lowest common multiple of 503 and z?
2515
Suppose -3*o - 2*o + 110 = 0. What is the lowest common multiple of ((-228)/209)/((-4)/o) and 66?
66
Let b be (-182)/(-900)*(12508/280 + -1). Let p = b + -156/125. Calculate the common denominator of -17/66 and p.
132
Let j = 89 - 104. What is the lowest common multiple of 4 and 21/1 - (20 + j)?
16
Calculate the common denominator of 7 + -17 + 9897/992 and -93/4.
992
Suppose 0 = 2*n + 20. What is the lowest common multiple of 5 and 6/n - (-5)/(175/91)?
10
Let c(u) = -u**2 - 32*u - 124. Let k be c(-27). Suppose -47 = -12*q - k. Let s = -27 - -39. Calculate the smallest common multiple of s and q.
12
What is the common denominator of ((-2160)/(-64) + -23)/((-2931)/6) and 25/4?
3908
Let s be (3735/(-12))/3 - 2/8. Let c = -47494/9 - -5272. What is the common denominator of 1390/84 + 4 + s/28 and c?
18
Let h = 26 - 8. Suppose 6656*a = 6647*a + 27. Calculate the lowest common multiple of h and a.
18
Let r = 405/308 - 60/77. What is the common denominator of -83/22 and r?
308
Calculate the common denominator of (1230/(-100))/(-2 + (-136)/(-20)) and -131/1038.
8304
Let s(p) = 50*p**2 - p - 1. Let b(w) = 2*w**3 + 146*w**2 + 24*w + 1757. Calculate the lowest common multiple of s(-1) and b(-73).
50
Calculate the common denominator of 25/136 and (-1114)/(-2380) + (-184)/448 + (-7)/(-56).
680
Let c = 395344883/147708 - -4778/4103. Let q = -2680 + c. Let r = 247/16 + -33/2. Find the common denominator of q and r.
144
Let o = 21877 - 20501. Calculate the least common multiple of 344 and o.
1376
Let n = -57/4 + 21532/1511. Let d = n + -129951/30220. What is the common denominator of (-119)/(-6) + -3 + -1 and d?
30
Let z = -30 + 26. Let a(b) = b**2 + 4*b + 5. Let g be a(z). Suppose g*n - 33 = 4*t - 7, -n = -3*t - 3. What is the smallest common multiple of n and 8?
24
Let b = 2085 + -2075. Calculate the least common multiple of b and 236.
1180
Let x = 223121/54636 + -2/4553. Let k = -10116/29 - -1046/3. Find the common denominator of x and k.
348
Let b be (-482575)/(-330) - 1/(-2). Let c = 1463 - b. Find the common denominator of c and ((-50)/(-8))/((-405)/(-60)).
297
Calculate the common denominator of -29/760 and (32/22)/(-8) + (-61216)/(-253440).
13680
Let x = 55 - 57. Let y(d) = -22*d - 17. Calculate the smallest common multiple of 90 and y(x).
270
Suppose 5*p - 15 = -5*o, -3 + 0 = -2*o + p. Suppose -2*l - 202 = -3*g, 0*l - o*l = 5*g - 310. What is the least common multiple of 5 and g?
320
Suppose 4*s + 3*m = 12132, 9092 = 3*s - 19*m + 23*m. Calculate the smallest common multiple of s and 44.
3036
Suppose 17*c = 21*c - 20. Suppose 0 = -3*f - 1 - 14, -c*r - 2*f + 170 = 0. Calculate the lowest common multiple of (r/(-9) - 1*-5) + 1 and 5.
10
Suppose -2*o + o - 5*l + 16 = 3*o, 0 = 2*l. What is the smallest common multiple of o and 900?
900
Let n = 107 - 103. Suppose -4*m - n*q = 4, 5*q + 6 + 23 = m. What is the lowest common multiple of m and 2?
4
Let h = -2315 + -36241. Let p = -1927891/50 - h. What is the common denominator of p and 119/130?
650
Suppose -1177*x + 5*r + 16 = -1181*x, -2*x - 3*r = 10. What is the least common multiple of 655 and x?
655
Find the common denominator of 4995/32328 - (-6)/(-192)*4 and 43/5.
8980
Let y = -79/63 + 8/7. Let m be -2 - 0 - 5848745/(-180)*-1. Let q = m + 32498. Calculate the common denominator of y and q.
36
Let d(f) = f**3 - f**2 + f + 37. Let i(z) = -2*z**3 - 13*z**2 + 645*z + 10. Calculate the lowest common multiple of i(15) and d(0).
370
Let h be (-61539)/(-9)*(-27)/8892. Let p = h - -3/247. Find the common denominator of p and -49/12.
12
Suppose 2*z - 257 = -3*j - 47, 0 = 2*z - 2*j - 200. Let u = -66 + z. What is the least common multiple of u and 16?
144
Suppose -3*w = 3*w + 12. Let s be (-1157)/(-26) + w*(-1)/(-4). Suppose 0 = -48*i + s*i + 40. Calculate the least common multiple of 20 and i.
20
Let b = -1147979/230340 - -1797/349. Find the common denominator of b and 151/132.
660
Let r = 869/1940 - -1/485. What is the common denominator of r and 161/26940?
26940
Let z(d) = -d**3 + 7*d**2 + d - 3. Let k = -351 + 81. Calculate the lowest common multiple of z(7) and 2/(-5) + (-1188)/k.
4
Let x = 812971 + -643872925/792. Calculate the common denominator of -51/32 and x.
3168
Let y be -2 + -163 + 4/(-4) + -1. Let a = y + 178. Calculate the lowest common multiple of 10 and a.
110
Let a = 155353/14244 + 12/1187. Find the common denominator of ((-404)/(-182))/((-12)/7) and a.
156
Suppose -55 + 7962 - 1059 = 16*i. What is the smallest common multiple of 28 and i?
2996
Let j = 24 + -21. Suppose -16 = j*a + 23. Let y = a + 23. Calculate the smallest common multiple of 2 and y.
10
Let m = -1243/50 - -2828611/113850. What is the common denominator of m and 13/1012?
9108
What is the common denominator of 53/20 and 3314/440 - (-104)/390*-30?
220
Let g = -551/3996 - 155/148. Let a = -159 + 87. Find the common denominator of 141/a - 1*2 and g.
216
Suppose 0*h + h = 3*l - 9, -2*l = 5*h - 6. Let v(f) = -f + 6. Calculate the lowest common multiple of v(h) and ((-5141)/(-159) + -35)/((-8)/30).
30
Calculate the common denominator of -71/2972 and (-125)/(-100) - 55929/44580.
14860
Let c(v) = v**3 - 8*v**2 + 24*v - 188. What is the least common multiple of 300 and c(8)?
300
Let k(m) = 12*m**2 - 6*m - 2. Let x = -307184 - -307194. Calculate the lowest common multiple of k(5) and x.
1340
Let t(h) = -39*h**2 + 7*h + 1. Let d(p) = 39*p**2 - 6*p - 1. Let f(n) = 6*d(n) + 5*t(n). What is the lowest common multiple of 24 and f(-1)?
312
Let k = 124576 - 124558. Let z = -99 + 143. What is the least common multiple of (6/(-4))/((-3)/z) and k?
198
Let u = 86867641/1452 - 179479/3. What is the common denominator of u and -17/484?
484
Suppose -4*m - 23 = 3*s, -s + 2*s = -3*m - 21. Let k = 6 - m. What is the least common multiple of (-4)/(((-40)/k)/5) and 3?
21
Let o(l) = l**2 - 7*l + 1. Let g be o(7). Let x be 88*39/4482*g. Let c = x - -1/83. Calculate the common denominator of c and -94/15.
45
Let h = -105587231209/2730 - -580578362/15. Let p = h - 28583. Calculate the common denominator of p and -43/8.
728
Calculate the lowest common multiple of (-12)/18 - (-11284)/78 and 8.
144
Let x be 3/(-6) + (-549)/2. Let r = -127458/2741 + 3/5482. Calculate the common denominator of r and ((-10)/75)/((-4)/x).
6
Let q = 67970 - 7865. Let b = 2360541/260 - -305149107/5980. Let z = b - q. Find the common denominator of z and -43.
46
Let c(g) = g**3 + 2*g**2 - 3*g. Let i be c(5). What is the common denominator of ((-93)/i)/(15/(-4) + 0) and 57/8?
200
Let h = -24752551/1884 + 84578/157. Suppose -260797 = -60*d + 495623. Let q = d + h. Calculate the common denominator of -113/20 and q.
60
Let w = -55538055/49759418 + 2079/1861. Find the common denominator of 65/16 and w.
213904
Let p(m) = m**3 + 16*m**2 - 11*m + 27. Calculate the lowest common multiple of p(-12) and 21.
735
Suppose -221 = -5*k - q, 2*k - q - 512 + 425 = 0. Calculate the least common multiple of k and 764.
8404
Let i(j) = -j**2 + 11*j - 12. Let t be i(10). Let p be (-6 - (1 + 1662))*t/32. Let u = 109 - p. What is the common denominator of u and 93/16?
16
Let y = -5213 + 5231. Calculate the smallest common multiple of y and 18.
18
Let w(z) = -11*z**2 + 12*z + 60. Let t be w(-4). Let h = -122 - t. What is the least common multiple of h and 6?
42
Suppose -801 + 105 = -29*t. Calcul