 5*t = -5*a + 55, 13*a - 12*a = -2*t + 16. What is the lowest common multiple of 160 and a?
480
Let w be (1244/(-6))/((-110)/(-1260)). Let x = w + 4743/2. Calculate the common denominator of x and 65/14*(-6)/10.
154
Suppose -2*v + v = -5*y + 12, -18 = -4*v - 2*y. Suppose o + 3 + v = 0. What is the common denominator of 47/2 and o/28*352/12?
14
What is the smallest common multiple of (3456/(-32))/((-6)/4) and 48?
144
Let j(z) = 3*z**2 - z. Let r be ((-1)/3)/(15/90). Let i = 0 + 2. What is the smallest common multiple of j(r) and i?
14
Suppose 5*k + 32 = 4*f, 0*k + k - 11 = -5*f. Suppose 3 + 4 = b + 5*v, f*b = -5*v + 31. What is the smallest common multiple of b and 5?
60
Let r(d) = -d**3 - 9*d**2 - 2*d - 10. Let q be r(-9). Suppose -3*z + 6*z - 24 = y, -q = -z - y. What is the least common multiple of 8 and z?
8
Let i(t) = 4*t + 14*t + 7*t - 1. Let p be i(1). What is the common denominator of 109/10 and (-3)/4 + 334/p?
30
Let p = 2/11439 + -6073/2542. Let q = 1455/2 - 15272/21. Calculate the common denominator of p and q.
126
Calculate the common denominator of 303/96*(-16)/40 and 36/5.
80
What is the lowest common multiple of 6/(-13)*(-2 + (-60)/9) and 4/(-6)*(-29 - -2)?
36
Let o = 328 - 202. Calculate the common denominator of -97/12 and 21/(-4)*(-243)/o.
24
Let z(o) = o**3 - 2*o**2 - 2*o + 10. Calculate the smallest common multiple of z(0) and 6.
30
Suppose -96 = 14*r - 12*r. Calculate the common denominator of 69/4 and 1 + (-4)/3 - 127/r.
16
Suppose -5*q - 3*q + 4*q = 0. Suppose 2 - 24 = -z. Let d = q + z. What is the least common multiple of 16 and d?
176
Suppose 5*r - 3*p = 11 + 64, 0 = -3*p + 15. What is the lowest common multiple of r and 474?
1422
Let r = 12/589 - 3311/538346. Calculate the common denominator of r and -65/4.
1828
Suppose l - 21 = -3. Suppose -103 = -3*s - 13. What is the least common multiple of s and l?
90
Let n(v) = -v**3 - v**2 + 5. Let k(s) = -6*s + 37. Suppose -2*q = q - 9, q = 2*g - 7. What is the lowest common multiple of n(0) and k(g)?
35
Let y = -30 + 30. Suppose y = 2*j - 1 - 5. Suppose j*x + 2*x - 90 = 0. What is the least common multiple of x and 8?
72
Let c = -1129/30 - -194/5. What is the common denominator of 89/18 and c?
18
Suppose 172 = 5*f + 4*r, -2*f + 5*f - 2*r - 112 = 0. Find the common denominator of 43 and 183/f + -1 + (4 - 3).
12
Find the common denominator of 11/10 and -10 + 5463/276 - 9.
460
Suppose 12 = 4*b - 2*z, -z - 7 = b - 4*b. Let i = 10 - 1. Let k = i - b. What is the lowest common multiple of k and 7?
56
Let d = 10 + -13. Find the common denominator of ((-14)/d)/(220/195 + 0) and -43/14.
154
Suppose -z = 5*u + z - 104, 0 = -5*u + 2*z + 116. Calculate the least common multiple of 304 and u.
3344
Calculate the least common multiple of 33 and ((-18)/5)/((-11)/55).
198
Let r(n) = -5*n - 15. Let b be r(-12). Let d = -33 + b. Calculate the smallest common multiple of d and 6.
12
Let q = -42 + -8. Let f = -446/9 - q. Find the common denominator of f and -37/10.
90
Suppose -3*c = 2*c. Suppose c = -0*o + o. Suppose o = -k + 7 + 1. Calculate the lowest common multiple of 8 and k.
8
Suppose 0 = 7*o - 90 - 43. Let i = 26 - o. What is the lowest common multiple of i and 16?
112
Let v = -7279/140 - -52. Find the common denominator of v and -1/44.
1540
Let r = 888916 - 16038711396/18043. Let g = -1269740127/198473 - r. Let o = -6393 - g. Find the common denominator of 49/5 and o.
55
Let i = 136073/1208 - 11/604. Let n = 112 - i. Calculate the common denominator of -31/3 and n.
24
Suppose m - 4*y = -9*y - 13, y - 17 = -3*m. Suppose 2*u - 144 = -m*u. Suppose w + 3 - 11 = 0. Calculate the smallest common multiple of u and w.
16
Let t = 1004 - 24073/24. Suppose -2*a - 64 = -66. Calculate the common denominator of 2 - (-1 + 9/(-24))/a and t.
24
Suppose -175 = 73*a - 78*a. Suppose -2*w + 5 + a = 2*m, 3*w - m - 68 = 0. What is the smallest common multiple of 16 and w?
176
Suppose -2*l = 4*n - 2*n + 228, l + 116 = -2*n. Find the common denominator of -19/4 and (28/l)/(350/(-214) - -1).
272
Suppose 0 = -9*r + 8*r + 2. Let y(p) = 6*p**2 - 2. Calculate the smallest common multiple of (-2)/(-7) - (-110)/7 and y(r).
176
Let a = 342 + -334. Let z be 198/10 + 1/5. Suppose -5*r + z + 10 = 0. Calculate the least common multiple of r and a.
24
Let m(y) = 2*y**2 + 139*y + 414. Calculate the smallest common multiple of 333 and m(-3).
1665
Let g(r) = 4*r**2 - 2*r + 10. Suppose -4*t - 14 = -5*s, -4*t + 0*t + 2 = 3*s. What is the lowest common multiple of g(3) and s?
40
Let g be 14362/(-666) + 3/6. Let j = -876/37 - g. Let b = -14/135 - 7769/1890. Calculate the common denominator of j and b.
126
Let a be ((-27)/(-15))/(3/45). Find the common denominator of 1 - (227/28 - a/9) and 29/44.
308
Let b = -6995/6 - -1159. Let j be 21/(-7553)*(-2)/(-3). Let m = -22651/4316 + j. What is the common denominator of b and m?
12
Let u be (-2)/(-4)*110 - (3 - 2). Let a = u - 44. Calculate the smallest common multiple of 4 and a.
20
Let i = -12 + 5. Suppose -3*n = q - 7*n + 12, 0 = 3*q - n - 19. What is the lowest common multiple of q and ((-20)/(-35))/((-1)/i)?
8
Let s = -153 + 258. What is the least common multiple of s and 2?
210
Let l = 67 - 59. What is the common denominator of -179/30 and 3320/660 + l/(-2)?
330
Let u(x) = 11*x**2 - 18*x + 4. Let v be u(13). Let h be v/159 + (0 - 3). Let r = h - 9509/954. What is the common denominator of r and 13/4?
36
Suppose -30 - 52 = 2*j. Let z = -37 - j. Let m = 13 + 7. Calculate the lowest common multiple of m and z.
20
Let w = -16740 + 4285407/256. Find the common denominator of w and -42/11.
2816
Let j = -9521603/7197408 - -1/224919. Find the common denominator of 131/108 and j.
864
Calculate the common denominator of 37/202 and 38/(-8) + 6/36.
1212
Let u = -429253/96 - -4471. Calculate the common denominator of -61/96 and u.
96
Suppose 5*j - 4*z - 1937 = 0, -3*z + 310 = 2*j - 451. What is the least common multiple of 105 and j?
1155
Let m = -44831/2940 - 1/735. Find the common denominator of 10/16*1764/(-360) and m.
16
Let q(k) = 2*k - 22. Let d be q(12). Suppose -13 = -3*h + p, 3*h + d*p - 19 = -0. Calculate the smallest common multiple of h and 10.
10
Let t(s) = -4*s**2 - s. Let j be t(-1). Find the common denominator of (j - -4) + 54/(-10) and -95/16.
80
Let l(v) = 36*v**2 + 179*v - 3. Let b(j) = -j**2 - 10*j - 1. Calculate the lowest common multiple of b(-7) and l(-5).
20
Find the common denominator of -38 and 4 + (1280/(-84) - -8).
21
Let s(t) = t**3 + 4*t**2 + 3*t + 2. Calculate the least common multiple of s(-3) and (140/15)/(2/6).
28
Let m(t) = -6*t - 22. Suppose -3*g - 14 = 7. Calculate the lowest common multiple of 104 and m(g).
520
Find the common denominator of (-1 + 199/10)*10/6 and 26/93.
186
Let c(s) = -4*s + 2. Let g be c(2). Calculate the smallest common multiple of (-117)/(-12) - g/24 and 36.
180
Let k be 86/(-6) + -6 + (-112)/(-21). What is the smallest common multiple of 3 and 5/2*2/k*-18?
6
Let i be (-1)/((-10)/(-6) - 2). Suppose -a - i*m - m = 3, 0 = 2*a - 4*m - 30. Let d(x) = -x**2 + 5*x - 5. What is the smallest common multiple of a and d(2)?
9
Suppose 6*o + 2 = 4*o. Let l be o/(-4) + (-30)/(-8). Suppose 4*c - 20 = -l*h, c = -h - 3*c - 4. Calculate the smallest common multiple of 19 and h.
152
Let t = 111815114/525 + -212981. What is the common denominator of t and -16/225?
1575
Suppose -3*o = -o + 7*o. Let j be 2/6 + (-1)/3. Suppose 3*p + o*p - 33 = j. Calculate the smallest common multiple of p and 4.
44
Let f = -6194/5 + 130324/105. Suppose -t + 268 = 2*l, 5*t + 35 + 209 = 2*l. Calculate the common denominator of 2/6 + (-1034)/l and f.
42
Let z = 348/559 + -34/129. What is the common denominator of -37/4 and z?
156
Let i be 0/(1 - (-4)/(-2)). Suppose -5*z + 2*w - 32 + 153 = i, z - 29 = -2*w. Calculate the least common multiple of 1 and z.
25
What is the smallest common multiple of 14/70 + 420/25 and 3?
51
Let i = 312/5 + -589/10. Find the common denominator of i and 53/24.
24
Suppose 0 = -15*s + 14*s - 12. Find the common denominator of ((-2)/(-4))/(s/(-252)) and (50/(-24))/((-2)/6).
4
Suppose -5*k - 1 = -31. Let l(q) = 2*q**2 - q - 1. Let h be l(-1). What is the least common multiple of (-4)/(-8)*80/h and k?
60
Let l = -371 - -2191/6. Find the common denomina