/10 and -5/7.
35
Let u = 22079/6 + -3670. Suppose 13 = -4*r + 21. What is the common denominator of u and (r/4)/(5 - 802/164)?
18
Let d(k) = 2*k**2 + 20*k + 14. Let f be d(-10). Let x be -4 + f/4 + 330/4. Let z = x + -58. What is the least common multiple of z and 4?
24
Suppose 4*j = 4*t + 1000, -9*j = -12*j - 5*t + 710. Let q = j + -190. Calculate the smallest common multiple of q and 33.
165
Let t = 7809 + 87. What is the least common multiple of t and 2?
7896
Let n = 27/2435 - 226354/869295. Let y = n + 57933/238. Let v = 246 - y. What is the common denominator of -21/4 and v?
12
Suppose 3*n - z + 1 - 5 = 0, -4*n + 10 = z. Suppose -3*u = 4*a + 14, -n*a + 5*u + 2 = 2*a. What is the lowest common multiple of 44 and (-15)/6*a*(-2)/(-5)?
44
Suppose -2*d = 4*d - 48. Let y(j) = 9*j - 26. What is the lowest common multiple of y(d) and 2?
46
Let v = 5486 - 241473/44. Find the common denominator of v and 50/24 + 6/8*340/85.
132
Calculate the common denominator of -20/23219 and (-10)/4 - (4230/324 - 23).
208971
Let s(g) be the third derivative of 17*g**4/24 - 5*g**3/6 - 13*g**2 - 1. What is the lowest common multiple of 62 and s(1)?
372
Suppose -14*t = 102 - 732. Calculate the least common multiple of t and 189.
945
What is the common denominator of 67/68 and ((-1278)/12)/((-18)/(-8))*(-2)/48?
612
Find the common denominator of 7/48 and -12 + -4*(-25067)/8400.
1200
Suppose y = 441 - 437. What is the smallest common multiple of y and 460?
460
Let o(k) = -7*k - 2*k - 43 - 3. What is the lowest common multiple of 20 and o(-9)?
140
Let w = 26 + -22. Suppose w*f - 2*f = 0, -5*f = -3*i + 36. Calculate the lowest common multiple of (4/12 + 2)*9 + 1 and i.
132
Let s(l) = 2*l**2 - 8. Let v(r) = -3*r + 22. Let n be v(7). Let m(w) = -w**2 - w. Let c(t) = n*s(t) + m(t). What is the smallest common multiple of c(5) and 24?
24
Let z(u) = 10*u + 26. Let y(t) = t**2 - 11*t - 6. Let b be y(11). Let s be z(b). What is the common denominator of (-1 + s/(-16))*(-348)/90 and -7/88?
440
Let z = 47457 + -47455. Let j(i) be the third derivative of -23*i**4/24 + 2*i**2. What is the lowest common multiple of z and j(-1)?
46
Let i be 2/3 - (-2)/(5208/(-17421)). Let s = i + 193/31. Calculate the common denominator of s and -62/9.
252
Suppose 24*u - 24 = 36*u. What is the common denominator of u - 69*(-42)/720 and 7/44?
440
Suppose 0 = -7*n + 124 + 1094. Suppose 2*k = q + 89, -4*k + n + 25 = 5*q. Calculate the smallest common multiple of 10 and k.
230
Let p = -5417251 + 1917382. Let b = 34939349/10 + p. Let n = b + 5939. Calculate the common denominator of n and -91/8.
40
Let w = 44186 + -44078. What is the lowest common multiple of 684 and w?
2052
What is the lowest common multiple of 4 and 24/264 + (-2637)/(-66)*2?
80
Suppose -8 = -2*p - 4*c, 0 = -p + 5*c + 6 + 5. Let d be ((-48)/14)/((24/(-28))/p). Calculate the common denominator of 30/(-8)*6/d and 113/24.
48
Suppose -32*t = -4*p - 37*t + 54, 2*p - 7*t + 30 = 0. What is the smallest common multiple of 1434 and p?
1434
Let i be (-1)/(3 + 2076/(-693)). Let o = 3/70 - -1741/210. What is the common denominator of 4/(-22) - 1989/i and o?
21
Let m = 36 - 36. Find the common denominator of 6/(-4) + m + (-59)/30 and -1*(-2)/(-2) - (-4080)/1800.
15
Suppose -144*n + 50768 + 6256 = 0. What is the smallest common multiple of 132 and n?
396
Let a = -12653/2268 + 125/81. Calculate the common denominator of 174/9*6/(-154) and a.
308
Let o be (0/(-2))/(2/((-4)/(-2))). Find the common denominator of 115/12 and -2*(56/63 - o).
36
Suppose 0 = 5*c + 4*r - 54, 4*c + 34*r = 32*r + 48. What is the lowest common multiple of 280 and c?
280
Let d(v) = -2*v**2 + 3*v - 3. Let h be d(3). Let w = h - -24. Find the common denominator of 95/8 and 125/w*20/(-30).
72
Suppose 9 = 5*w - 1. Suppose 273 = 2*s - 5*i, 13*s - 14*s + 134 = -2*i. Suppose 11*r - 52 = s. What is the lowest common multiple of r and w?
16
Let a = 4/221201 - 22785215/83613978. What is the common denominator of 86/567 and a?
1134
Suppose 0 = -a - b + 1 + 1, -b = -3*a + 14. Suppose o + a*c = c + 30, 0 = 2*o - 5*c - 5. What is the common denominator of ((-2)/4)/(o/185) and -79/26?
78
Suppose 8*h - 37*h = 174. Let c(f) = f**2 - 18. Let n(k) = k**2 - k + 4. Calculate the least common multiple of n(4) and c(h).
144
Suppose -4*z = -2*n + 24, 0 = 2*z + z + 15. Calculate the common denominator of 12887/(-8153)*(-1*1)/(-1) and -5*(n + 19/(-7)).
217
Suppose 8*p - 10*p - 3854 = 0. Let b = p - -26889/14. Let n = -1/2098 + 53501/4196. Find the common denominator of b and n.
28
What is the common denominator of 2 + 109/(-20) + (-6)/15 and ((-84)/(-220))/((-416)/1300)?
440
Let p = 3/359867 - 21958367/777312720. Find the common denominator of p and 55/1944.
19440
Let o = 11989 - 11971. Let l(z) = -z**3 + 3 + z + 0*z**3 + 0 - z**2. Calculate the lowest common multiple of l(-3) and o.
18
Let q = -37714 - -151795/4. Let x = -241 + q. What is the common denominator of (-2)/((-264)/(-69))*2 and x?
44
Let f = 1897783731/664906 - -414/30223. Let u(n) = -12*n**2 + 4*n - 93. Let d be u(-15). Let i = f + d. What is the common denominator of 35/12 and i?
132
Let x be (-2 - 6/(-4))*2. Calculate the least common multiple of (-12)/14 - 26966/(-1358) - -1 and (8/(-5))/(x/5).
40
Let f(n) = -n**3 - 10*n**2 - 55*n - 182. Calculate the smallest common multiple of f(-7) and 168.
168
Let v = 25149 + -4526809/180. What is the common denominator of v and 11/870?
5220
Suppose 90 = 23*a - 13*a. Let s(f) = f**3 - 3*f**2 + 3*f + 2. What is the least common multiple of a and s(3)?
99
Let u(a) = a**3 + 5*a**2 - 14*a - 4. Let q(t) = t**2 + 13*t + 20. What is the smallest common multiple of u(-6) and q(-12)?
88
What is the common denominator of (-3197)/690 + 8 + 1 and -73/54?
270
Let m = -1 - -74. Let o = m + -77. Calculate the lowest common multiple of (52/12 + o)*48 and 2.
16
Suppose 2 = -19*l - 36. Calculate the least common multiple of ((-50)/(-15))/(l/(-6)) and 3.
30
Calculate the common denominator of (-2 + -4)/(36/(-152)) and 2/(-72)*122264/1581.
27
Suppose 0 = -4*j - 89 + 101. Suppose -2*f - b = -2, 7 = -j*f + 5*b + 10. Calculate the smallest common multiple of 4 and f.
4
Suppose 2*l + 2*o - 172 = 0, 4*l - 2*o - 353 = 3*o. Suppose 17*f = 2*f + 9810. Calculate the common denominator of 87/50 and ((-58)/l)/(40/f).
50
Let d(k) = -12*k + 132. Let n be d(11). Calculate the common denominator of 9/10 and 12/(-16)*804/(-234) - n.
130
Let w(t) = t**3 + 7*t**2 + 11*t + 36. Let f be w(-6). Find the common denominator of ((-837)/310)/(f/(-15)) and 103/10.
20
Let k = -3070 - -5065507/1650. What is the common denominator of k and 169/990?
4950
Let q = -4/2577 + -9041/262854. Calculate the common denominator of q and 151/60.
3060
Calculate the common denominator of 2/(852/243*3) and 11/4*550/(-440).
1136
What is the common denominator of -107/18 and (0 + -118)*758/(-17967632)?
106668
Suppose 176*f + 12 = 182*f. Suppose f*d - x + 6*x - 98 = 0, 4*d - 3*x - 170 = 0. What is the least common multiple of d and 28?
308
Suppose 0*b + 5*b + 348 = 2*u, b = 0. Let c = u + -134. What is the lowest common multiple of 72 and c?
360
Let i be (2 - 8/3) + (-168)/(-36). Calculate the lowest common multiple of 16 and (i + 0)*(9 - 4).
80
Suppose 6956 = 426*x + 992. Let n = 431 + -23. What is the lowest common multiple of x and n?
2856
Let s be 5 + -5 - (-33206)/(-57). Let p = -3487/6 - s. What is the common denominator of 218*(-3)/360 - 2/6 and p?
380
Let i = 109 + -137. Let b(g) = g**2 + 26*g + 8. What is the lowest common multiple of 38 and b(i)?
1216
Suppose 7*j + 146 = 6*j. Let n = -89 - j. Calculate the common denominator of 50 and (n/4)/(5/(-4)).
5
Let u = -16861 + 16873. Suppose 3*s - 5*b + 28 = 190, 2*b = 0. Calculate the lowest common multiple of s and u.
108
Let l(t) = t**3 + 20*t**2 + 29*t + 14. Let y be l(-19). Let u = 678 + y. What is the lowest common multiple of 16 and u?
4016
Suppose 4*r - 20 = -f, -3*r = -3*f - 5*r + 20. What is the lowest common multiple of 3912 and f?
3912
Suppose -3*z + 2268 = 405. Let u = 2/22499 + 1147441/89996. What is the common denominator of u and z/84 + -1 + -3?
28
Let a(v) = v**2 + 8*v + 2. Suppose 116 = 18*p + 44. Suppose -4*t - 33 = -w, -2*t + 3*w + 13 = -p*t. Calculate the lowest common multiple of 10 and a(