*x + 2 = -4*y - 1, y + x = 0. Suppose -9*a - 29 + 92 = 0. Suppose -a*c - 68 = -11*c. Calculate the lowest common multiple of y and c.
51
Let l = -24439/612 + 702/17. Find the common denominator of l and 11/33 - (3 - 458/(-24)).
36
Let n = -242 + 260. What is the smallest common multiple of n and 18?
18
Let a = -67255 - -3228095/48. Calculate the common denominator of -107/24 and a.
48
Let o = 2309 + -2293. What is the smallest common multiple of 68 and o?
272
Let q be -644*((-10)/(-4))/5. Let f = -1004/3 - q. Calculate the common denominator of f and -67/27.
27
Let u(v) = 11*v - 86. Calculate the smallest common multiple of u(9) and 11.
143
Let v = 20 - 15. Suppose -v*t = -6*t + 4. Suppose 2*q - t*q = -6. Calculate the smallest common multiple of 9 and q.
9
Find the common denominator of 4 - 41607/5040 - (-5 - -1) and 29/6.
1680
What is the common denominator of (-4)/(-34) + ((-863)/306 - -3) and 1/24?
1224
Suppose -2*o + 7*o - 40 = -s, 5*s = -2*o + 108. Calculate the lowest common multiple of s and ((-26)/(-52))/((-1)/(-16)).
40
Let m = -59/140 + -1/140. Let r = 27073/6 - 4501. Let i = r - -40/3. Find the common denominator of m and i.
14
Let c = 37 + -10. Let j(h) = h**3 + 8*h**2 + h - 21. Calculate the lowest common multiple of c and j(-7).
189
What is the common denominator of (-266)/(-144) - 48/216 and 23/244?
488
Suppose 4*f + 5*l + 7 = 0, -f + 3*l + 0 = -11. Calculate the common denominator of (16/(-696))/(f/102) and 55/8.
232
Suppose 0 = -3*w - 3*y - 33, 0 = w + 4*w - 4*y + 28. Calculate the common denominator of 2 - w/(-24)*71/8 and 56/27.
216
Suppose 3*b + 66 + 70 = m, -3*b = -9. Calculate the smallest common multiple of m and 6.
870
Let m = -84 - -88. Suppose -7 = -m*b + 137. Calculate the least common multiple of b and 12.
36
Suppose -5*g + 5*w + 1235 = 0, 4*g + 0*w = w + 997. Suppose -g = -2*m - 3*m. What is the common denominator of 2 + (522/(-15))/3 and m?
5
Let h(t) = 6*t**3 + 11*t**2 + 12*t - 17. Let d be h(-6). Let a = d + 10899/11. Let k = -2025/4 - -520. What is the common denominator of a and k?
44
Let n(t) = -2*t - 2. Suppose -y - 3 + 5 = 0. Suppose 0 = y*p + p + 21. What is the lowest common multiple of n(p) and 12?
12
Calculate the lowest common multiple of (((-55)/(-45))/(-1) + 2)*9 and 782.
5474
Calculate the common denominator of ((-76)/(-14))/((-45)/35) and 71/14.
126
Let k(p) = 33*p - 17*p + 3 - 17*p. Let n(q) = 21*q**3 + 2*q - 1. What is the lowest common multiple of n(1) and k(-13)?
176
Let x be (-14 - -16)/(1*-1). Find the common denominator of (109/33 + -3)/(x/8) and 49/15.
165
Let j(l) = -l**2 + 10*l. Let z be j(9). Suppose 2*h + 14 = 3*u - 7, -z = 3*h. Let p(y) = y**2 - 3*y + 1. Calculate the least common multiple of p(u) and 5.
55
Calculate the common denominator of 79/273 and 6/(1872/2264) - 6.
273
Let u be -5 + 7/(7/5) + -25. Let t(p) = -3*p**3 + 4*p**2 - 2*p - 2. Let d be t(2). Let n = d - u. Calculate the smallest common multiple of n and 2.
22
Let c(a) = a**3 + 3*a**2 + 5*a + 3. Let z be c(-2). Let m be z*44/3*-2. Calculate the common denominator of 10*4/m*-8 and -73/15.
165
What is the common denominator of (-4)/56*959/96 and 47/8?
192
Suppose 0 = 3*f - 0 - 27. What is the least common multiple of f and (27/(-2))/((-8)/16)?
27
Let z(n) = -124*n - 13. Let o be z(-11). Let u = o - 2617/2. Let w = -2235/4 - -574. Find the common denominator of u and w.
4
Let p(h) = 21*h**2 + 4*h - 7. Let n be p(2). Calculate the common denominator of 20/7 and (-1)/(-2)*n/(-3 - -2).
14
Let n = 216129/20 - 10803. Calculate the common denominator of n and 103/160.
160
Suppose f + 10*f = 99. Suppose -4*j + 2*j - 2*t + 28 = 0, -j = 3*t - 18. Calculate the smallest common multiple of j and f.
36
Calculate the smallest common multiple of (-69)/(-9) + (5/(-5))/(-3) and 28.
56
Suppose j + 3 = -2*d - 12, 3*d = -j - 20. Calculate the common denominator of ((-1)/j)/(60/(-1150)) and 41/4.
12
Suppose 3*l + 124 = -4*r - 2, 0 = -l - 5*r - 42. What is the common denominator of ((-27)/5)/((-128)/20) and 6258/36*2/l?
288
Calculate the lowest common multiple of (4/(16/(-260)))/(-1) and 25.
325
Suppose 21*a + 4*a = 150. What is the lowest common multiple of 1 and a?
6
Suppose 194*a - 414 = 148*a. What is the least common multiple of 1347 and a?
4041
Let f = 2056 - 2006. Suppose 72 = 3*i - 3*s, 2*i + 2*s - 47 = -15. Calculate the lowest common multiple of f and i.
100
Let n(q) = q**3 + 7*q**2 + 6*q - 2. Let h be n(-6). Let y = h + 16. Calculate the lowest common multiple of y and 90.
630
Let n = -2 - -6. Let a(q) = 5 + 3 - 4 - 1 - q. What is the smallest common multiple of n and a(-3)?
12
Suppose -13*r = -32*r + 38. What is the smallest common multiple of 130 and r?
130
Let r be (120/(-1666))/((-1)/14). Let f = -117602098 + 279892987389/2380. Let p = r + f. What is the common denominator of p and 37/6?
60
What is the common denominator of -24/103 and 12/(-10)*(11 - (-645)/30)?
103
What is the common denominator of 57/4 and 1780/(-16800) + ((-28)/30)/7?
280
Find the common denominator of 12/155 and ((-1272)/168)/((-240)/28).
1860
Let n = -1184437/120450 + 2/20075. Calculate the common denominator of n and 1 - (-1 + (-163)/(-20)).
60
Let r(z) = 0 + z + 6*z**2 - 1 - 5*z**2 + 0*z. Calculate the smallest common multiple of r(-4) and 19.
209
Let i be ((-10)/(-8))/(1/(-8)). Suppose -4*z + 10 = -2*z. What is the lowest common multiple of z and i/(-6) + (-1)/(-3)?
10
Let i = -11588821/156 - -74287. What is the common denominator of i and -15/4?
156
Let p = 170 + -118. Let v = p - 36. Suppose -216 = -34*k + 22*k. Calculate the least common multiple of k and v.
144
Let p be (2/(-9))/(15/(-684027)). Suppose 0 = -2*g - 5*w - 20268, 2*g + g + 4*w + 30395 = 0. Let h = p + g. What is the common denominator of 65/2 and h?
30
Let v = -2 - -8. Let c = v + -4. What is the common denominator of c and 6/(-1 - 4/8)?
1
Calculate the lowest common multiple of 205 and (-6)/(-39) - 12950/(-325).
1640
Suppose h - 3*h = -b - 5, -2*b = -6. Let l be 339/(-2)*h/6. Let y = l - -559/5. What is the common denominator of y and -51/2?
10
Suppose 0 = p - 0 - 6. Let k = -37 - -63. Calculate the smallest common multiple of p and (3 - 0)*(-1)/(-6)*k.
78
Find the common denominator of (-93)/(-403) + 423/(-1664) and 71/80.
640
Let m = -2305/94 - -48/47. Let y = 55183/22 - 2511. Find the common denominator of y and m.
22
Let t = -142285484/15 - -9479011. Let x = 6685 + t. Let k = 8979/11 + -814. What is the common denominator of x and k?
165
Let a = 3634/17 - 260815/1224. Calculate the common denominator of 47/90 and a.
360
Suppose i + 29 = 2*i. Suppose 0 = 4*s + i - 13. Find the common denominator of (s - -5)/((-30)/(-291)) and 107/10.
10
Let f = -9 - -17. Let p(k) = -3*k**2 - k + 4. Calculate the lowest common multiple of p(0) and f.
8
Let l(p) = 4*p**2 + p. Let k be l(-3). Let w(n) = n**3 - n - 11. Let c be w(0). Let q = c + k. What is the smallest common multiple of 20 and q?
220
Let z(t) = 10*t + 12 - 34 + 11. Let w be z(4). Suppose 0*d = -d + 3*y + 1, -3*y = 2*d - w. Calculate the smallest common multiple of d and 18.
90
Suppose 0 = 3*a + 5*j - 2, 9*a - 4*a = j + 22. Calculate the lowest common multiple of 24 and a.
24
Suppose 2*o - 573 = 3*o. Let q be (-5192)/9 - 18/(-6). Let v = o - q. Calculate the common denominator of v and -11/3.
9
Suppose 14*d - 234 = d. Suppose 34 + 32 = 3*j. What is the lowest common multiple of d and j?
198
Suppose -24 = -2*m - 0*m. What is the common denominator of -1*((-122)/(-24) - 1) and (3/4)/(m/(-164))?
12
Let p = -13/3383 + -151052/307853. What is the common denominator of p and 6/7?
91
Let b = 828 - 768. What is the smallest common multiple of 160 and b?
480
Let g = -60304241/13412435 + -4/102385. Let s = -1/262 + g. Let n = 5782 + -46159/8. What is the common denominator of s and n?
8
Let r be ((-3)/1314)/(6/(-24)). Let j = -5893/2190 - r. What is the common denominator of j and -77/16?
80
Let r be (23228/(-12) + 2)*6/(-4672). Let u = 33/73 - r. What is the common denominator of u and -55/9?
288
Let p be -2*((-35)/10 - 1). Suppose 7*i = p*i - 8. What is the smallest common multiple of i and 4?
4
Let x(h) = -4*h + 30. Let u be x(7). Suppose j - 33 = -u*j - 3*s, -2 = 3*j - 4*s. What is the lowest common multiple of 52 and j?
156
Suppose -5*t 