490
Calculate the common denominator of ((-10)/(-4) + 148/14)/(-3) and 125/(-56) + (-1 - -2).
56
Suppose 0 = -4*x - 20, 0*b - 4*x = 2*b + 176. Let u be (-1 - 2/(-3)) + b/9. Let d = 26 - u. What is the smallest common multiple of 9 and d?
315
Let y(p) = p**2 + 2*p - 6. Let u be y(-5). Suppose 0 = u*v - 32 - 31. What is the lowest common multiple of (1/2)/(v/588) and 6?
42
Let b = 262007/1172762 + -183/2029. What is the common denominator of b and -25/153?
5202
Find the common denominator of 1191/714*-2 + (-57)/190*-10 and 86/1071.
1071
Let g = -56257/4640 + -204/145. Let t = -249/16 - g. Find the common denominator of t and (73 - -1)*(-1)/3.
96
Suppose v + 5*u + 2522 = 3*v, -u = 5*v - 6359. Let s = v + -20389/16. Find the common denominator of (133/114)/((-4)/(-21)) and s.
16
Let l = 75599/168900 - 115/563. Find the common denominator of -81/140 and l.
2100
Find the common denominator of -55/274 and ((-10)/(-1))/(-21*(-72)/1638) - 9.
822
Let m = -9607/8 - -1196. Let j = -8/373 - 47275/4476. Calculate the common denominator of m and j.
24
Suppose 0 = 5*a + 25, 12*i - 89 = 10*i - 3*a. Calculate the smallest common multiple of 556 and i.
7228
Let i(w) = w - 17. Let q be i(22). Suppose z - 20 = q*o, 3*z + 7*o = 4*o + 6. Let f = 11 + -8. What is the lowest common multiple of z and f?
15
Let c = 156 + -160. Calculate the common denominator of 93/14 and (c/(-14))/(-1 + 265/215).
70
Let k = -60060 - -17657699/294. What is the common denominator of k and -37/1050?
7350
Let m(c) = 8*c - 2. Let d be m(1). Let y(k) be the first derivative of -k**3/3 + 5*k**2 - 8*k + 107. Calculate the smallest common multiple of 4 and y(d).
16
Let c = 54 - 36. Suppose -2*u - c = -5*i, 3*i - 3 + 1 = -u. What is the common denominator of (u/12)/((-6)/(-82) + 0) and 11/7?
63
Suppose -387 = -3*k - 5*h - 38, 2*k + 3*h - 231 = 0. Let g = k - 8. Let q = g + -94. Calculate the smallest common multiple of 3 and q.
6
What is the common denominator of 12/(-1) - (-703626)/58751 and -24/35?
3815
Suppose 4*j - 8*j + 44 = 0. Let s(u) = u**3 - 8*u**2 - 31*u - 10. Calculate the lowest common multiple of 8 and s(j).
24
Suppose 54603 = -26*l + 24*l + r, -5*l - 136494 = 2*r. Let z = 819163/30 + l. Find the common denominator of z and -145/36.
180
Find the common denominator of (5 - 50/5)*51*8/(-192) and -115/1652.
3304
Let o be 1/(((-21)/(-648))/7). Suppose 0 = 4*u + 3*c - o, 5*u + 25 = -2*c + 295. What is the least common multiple of u and 36?
108
Let v = -89 - -89. Suppose v = -3*c + 19 - 10. Calculate the lowest common multiple of 1 and c.
3
Let y(w) = w**3 - 4*w**2 + 25*w - 162. Calculate the lowest common multiple of y(9) and 3.
468
What is the least common multiple of 895 and 50 - (-1 + 7 - -4)?
7160
Let b = -591229/44 + 13438. What is the common denominator of b and 31/56?
616
Let a = -19 + 28. Let m be ((9 - 13)*(-3)/2)/2. Suppose -25 = -2*c + 3*b - 3, 0 = c + m*b - 20. What is the lowest common multiple of a and c?
126
Suppose 200*o = 158*o + 86940. Calculate the smallest common multiple of o and 20.
4140
Find the common denominator of -11*1/9*(-1)/3 and -7/666.
1998
Let f = 1192 - -500. Calculate the smallest common multiple of 18 and f.
1692
Suppose 113*g = 2645 + 4135. Calculate the lowest common multiple of 174 and g.
1740
Suppose -4*f + 7*i = 9*i - 32, -5*f + 50 = 5*i. Suppose 0 = -5*m + 4*n + 14, -2*n = -1 + 3. Let a = 8 - m. What is the least common multiple of a and f?
6
Calculate the common denominator of 73/4 and 2398/(-218) - 856/(-86).
172
Let o = 555 - -1309. Calculate the smallest common multiple of o and 3.
5592
Let l(t) = t**2 + 14*t + 57. Suppose 16*u = 19 - 259. What is the least common multiple of 6 and l(u)?
72
Suppose -3*t - 14*f - 1 = -9*f, 2*f = 4*t + 10. Find the common denominator of (3/t)/(1/(10/(-60))) and -17/10.
20
Let n(q) = 78*q**2 + q - 7. Let r be n(-9). Let g be (-1)/(-8) - r/688. Let y = g + -20/43. Calculate the common denominator of -55/12 and y.
12
Suppose 10 + 0 = 5*d, 0 = 2*j - 3*d. Suppose -44 = -4*c - 4*t, j*c = 2*t - 7*t + 35. What is the lowest common multiple of c and 6?
30
What is the lowest common multiple of (4 + -2 - (17 - 0))/((-27060)/18040) and 1 + ((-76)/(-1))/2?
390
Let o(s) = -119*s**2 - 2*s + 2. Let p be o(1). Let r = p - -180. Let y = r - 46. Calculate the least common multiple of 3 and y.
15
Suppose -10*o + 248 = -7*o - s, 0 = -2*o + s + 165. Calculate the common denominator of 91/15 and o/7*14/(-42).
105
Let p be (27 + -1)/((-2)/(-2 + 0)). Let f be 3 + (-2031)/14*p. Let u = f - -3777. Calculate the common denominator of u and 26/11.
77
Suppose -36 = -k - 17*k. Let p(r) = 3*r**2 + r - 21. What is the least common multiple of k and p(7)?
266
Let q be 2/11 - (-3558)/33. Suppose -13*j + 9*j = -q. Calculate the lowest common multiple of j and 72.
216
Let z = -17825/38313 - -4/473. Calculate the common denominator of z and -17/234.
2106
Suppose -11*k = 533 - 181. Calculate the common denominator of (-100)/k*(3 - (-4)/(-3)) and -9/20.
120
Let h be -80*(4/25)/((-4)/10). Let u = 60 - h. Let z = u + -23. Calculate the smallest common multiple of z and 59.
295
Let t = -793239/5 + 158642. Find the common denominator of 1954/1400 - (-4)/(-14) and t.
100
Let n(l) = -14*l**2 - 8 + 9*l + 15*l**2 + 7 - 3. Let t(q) = -2*q**2 - 2*q + 2. Let k be t(-3). What is the lowest common multiple of 11 and n(k)?
66
Let h(f) = -f**2 + 3*f + 14. Let q be h(16). Find the common denominator of -48/5 and (-18)/(-1896)*q/3.
790
Suppose 3*w = 9, 62*s - 5*w = 57*s + 85. What is the smallest common multiple of 270 and s?
540
Let g(m) = -3*m**3 + 61*m**2 - 84*m + 19. What is the smallest common multiple of 6 and g(16)?
12018
Let i = 397/5277 + -459245/5301626. Find the common denominator of 31/6576 and i.
72336
Suppose -1159 = 3*p - 124. Let c = p - -81. What is the common denominator of c/216*33/(-10) and 21/2?
30
Let u = 4 - -22. Suppose -3*g + 28 + u = 0. Suppose g*m - 180 = 13*m. Calculate the least common multiple of m and 18.
36
Suppose -2*v - 7*v = -891 - 369. Calculate the lowest common multiple of 336 and v.
1680
Calculate the common denominator of 113/790 and (-3)/(-10)*(-4)/11.
8690
Suppose -3*t + 2*a = -0 + 10, 6 = -3*t + 3*a. Suppose 29*g = 166 + 182. What is the lowest common multiple of g and 83/6 + (-1)/t?
84
Calculate the common denominator of -71/21 and 43/(-57)*((-7)/(-21))/1.
1197
Suppose 63 = -7*c + 3*c - 5*u, 5*u + 51 = -3*c. Let p be 23007/(-36) - (-3)/c. Let j = p - -623. What is the common denominator of j and 127/36?
36
Let k be -5 + ((-3)/4 - (-1)/(-4)). Let b(t) = -11*t - 60. Calculate the lowest common multiple of b(k) and 62.
186
What is the common denominator of (129/2)/((-29)/203*-126) and 103/336?
336
What is the smallest common multiple of -14*(-3)/(-2)*(-418 - -415) and 468?
3276
Let f = 1/8537 + -640289/119518. Find the common denominator of f and 3 - (-1332)/(-112) - -5.
28
Let q be 0 + ((-3)/3 - -6). Let c(o) be the third derivative of o**4/6 - 3*o**3/2 + 101*o**2 - 2. Calculate the smallest common multiple of 5 and c(q).
55
Calculate the common denominator of 101105/(-147168) + (10/(-18) - -1) and -65/84.
672
Suppose -42 = -3*u - 15. Suppose 3*s = 5*m - 0 - 5, -2*m = -8. Suppose 2*b = 3*b + 2, 2*f + s*b - 6 = 0. What is the least common multiple of u and f?
72
Let w be (18/21 + -4)*18. Let s = w + 603/14. Calculate the common denominator of (-34)/24 - (-1 + 1) and s.
12
Let w be (-2)/3 - (-1)/(12/(-21079)). Let s = w + 1775. Calculate the common denominator of -30 and s.
4
Let h be (8/(-10))/((-5)/27225). Suppose -10*d = -28*d + h. Calculate the lowest common multiple of 20 and d.
2420
Let l = -641415 + 4572006151/7128. Calculate the common denominator of l and -133/1944.
21384
Let i be 4/1 - (-5 - -1). Suppose -262 + 94 = -i*b. What is the lowest common multiple of ((-6)/(-9))/(2/(-3)) + b and 22?
220
Suppose -60*t = -70*t + 1260. Suppose -v = 2*i - 0*v - 35, -4*v - 100 = -4*i. Find the common denominator of (2 - 55/i)*(-309)/t and 113/20.
280
Find the common denominator of 97/76 and (330/10400*-4)/(40/(-75)).
7904
Suppose 4*r = 3*s - 17, -9 - 3 = -4*s. What is the lowest common multiple of 2*9 - (5 + 6/r) and 12?
48
Let x = 1191/55 - 10937/660. Find the common denominator of 77/(-276) + 1/6 and x.
276
Let g = 100813/13