- -106. Let j = g - -25. Find the common denominator of j and z.
5
Let c(t) = t**2 + 10*t + 6. Suppose -4*g = -2*j + 4, -j + 0*g - 23 = 3*g. Let i be (-105)/14*j/(-6). Calculate the smallest common multiple of c(i) and 6.
6
Suppose 0 = -0*h - 4*h - 680904. Let c be 1 + (h/208)/7. Let v = c - -1359/13. What is the common denominator of v and -85/14?
56
Let m be ((-1)/(2 + -1))/1. Let v be m - (-35 + 0)/(-1). Find the common denominator of -95/6 and 1/(-4) - 123/v.
6
Let z(w) = w**3 - 5*w**2 + 6*w - 2. Let h = -194 - -202. What is the smallest common multiple of h and z(4)?
24
Let c = -215 + 227. What is the lowest common multiple of 111 and c?
444
Let h = 56/73 - -7003/292. Find the common denominator of h and 41/10.
20
Calculate the common denominator of -48/145 and ((-238)/315)/(10/(-6) + 1).
435
Let w = -6/23 + -1439/920. What is the common denominator of w and -42/5?
40
Suppose -33 = 3*f + 3*i, f = 5*i + 14 - 7. Let y = f - -28. Suppose -u + 4*u + 57 = 3*q, -4*q - 5*u = -49. What is the least common multiple of q and y?
80
Let h = 16018/15 + -1069. What is the common denominator of -47/87 and h?
435
Let g be 6/(-4)*(-10)/3. Let r be ((-84)/210)/((6/10)/(-3)). Suppose 5*m - 2*m - 2*b = 18, g*b = r*m - 23. What is the smallest common multiple of m and 1?
4
Suppose -f = 3*f - 48. Suppose 0 = 12*i + 3788 - 4052. Calculate the smallest common multiple of f and i.
132
Let g be -1 + 561/(-44)*1282/(-2668). Let p be (-6)/46*(-1)/87. Let q = p - g. Find the common denominator of q and -67/4.
8
Calculate the lowest common multiple of 3 + (476/16 - (-2)/8) and 1 - -1*46/2.
264
Let s = -1679 + 26843/16. What is the common denominator of 67/56 and s?
112
Suppose 6*w - 4 = 3*m + 2*w, 10 = -5*m + 5*w. Calculate the common denominator of m - 2*(-51)/15 and 1/(-3) + 35/3.
15
Let y = 155 - 144. Calculate the lowest common multiple of y and 4.
44
Suppose 2*j - 3 = 2*o + 3, -3 = -j + 3*o. Suppose -4*l = 10*l - 70. Suppose -l - 3 = -g. Calculate the least common multiple of g and j.
24
Suppose -7 - 65 = -3*k. Suppose 203 = 5*r - 5*z + 188, -3*r = -2*z - 12. What is the least common multiple of r and k?
24
Suppose -3*m + 5*m - 14 = 0. Suppose 3*s - 30 = 2*b - 0*b, 0 = 2*s + 3*b - m. Let l = -5 + s. Calculate the lowest common multiple of l and 9.
9
Suppose 0*t + 4 = -4*t, -a + 2*t = -1924. Let b be (-14)/63 + a/(-18). What is the common denominator of (b/(-4))/(3/(-2)) and -127/18?
18
Suppose 5*c - 101 = 19. Suppose -2*b + c = b. What is the least common multiple of b and 5?
40
Suppose 5*m + 45144 = -5*w - 6991, -5*w + m = 52165. Let u = w - -229571/22. What is the common denominator of 508/(-96)*8/(-10) and u?
330
Let o = 743953 - 8908159/12. Let v = o + -1615. Let q = -58/19 - -761/380. Calculate the common denominator of v and q.
60
What is the common denominator of 71/28 and 6/380*((-315)/60 + 6)?
5320
Let o = 5485 - 164443/30. What is the common denominator of -11/8 and o?
120
Suppose 0 = 21*i - 1228 + 472. What is the least common multiple of 42 and i?
252
What is the common denominator of ((-10290)/(-576))/(-5) - -3 and -70/3?
96
Suppose 5*s + 3*f - 88 = -20, -5*f + 12 = 2*s. Calculate the least common multiple of 24 and s.
48
Calculate the common denominator of ((-3)/42*-1)/(1224/8988) and -97/306.
612
Suppose 22*z + 88 = 30*z. What is the smallest common multiple of 15 and z?
165
Suppose 0 = -22*z + 9*z - 24882. Let n = z - -22987/12. What is the common denominator of -145/6 and n?
12
Suppose -1095 = -37*q + 237. What is the smallest common multiple of q and 27?
108
What is the common denominator of ((-90)/(-270))/(-1 - 26/(-12)) and -101/112?
112
Suppose 0 = -27*z + 16*z + 418. Calculate the smallest common multiple of z and 6.
114
Let y be -44*(399/(-196) + (-4)/(-14)). Suppose p - y = -55. Calculate the lowest common multiple of 4 and p.
44
Suppose 4*o - 32 = 2*o + 5*q, 2*q = -2*o + 18. Suppose -13 - o = -4*k. What is the smallest common multiple of k and 20?
60
Suppose -4*c = -3*c - 4. What is the lowest common multiple of 1/(44/40 - 3/5) and c?
4
Let b = -1313 - -5163/4. What is the common denominator of b and -11/4?
4
Suppose 0 = -3*v - 15, 0*s + 3 = 4*s + 5*v. Let m be (-5)/((s/(-8))/7). What is the common denominator of m/28 - (-4)/14 and 64/9?
63
Let h(r) = r**3 - 9*r**2 + 9*r - 5. Suppose 1 + 15 = 2*y. What is the lowest common multiple of 2 and h(y)?
6
Calculate the common denominator of 49/4 and (-30650)/(-9300) + (2 - 6 - -1).
372
Let a be (10/5)/2 + 2. Suppose -5*c - z = 16 - 4, -3*c - a*z = 0. Find the common denominator of c + 385/50 + 2 and 43/20.
20
Let t = 29461/5008 + -22/313. Calculate the common denominator of t and -27/16.
16
Suppose 0 = 5*m + 4 - 19. Suppose m*t = 5*t - 240. Suppose 9*a - 3*a - t = 0. What is the lowest common multiple of 4 and a?
20
Suppose 37*o - 34*o = 12. Suppose 2*i - 4*p - 165 + 33 = 0, o*i - 264 = p. What is the smallest common multiple of i and 12?
132
What is the common denominator of 1/7 - (-7158)/2520 and -61/40?
120
Let k = 39876/14597 + -6/1327. Let p be 2/(-4) + 29162/(-20). Let w = -1469 - p. Find the common denominator of k and w.
55
Let m(t) = 119*t - 5. Let p be m(4). What is the common denominator of 1 + (-1)/(18/p) and 149/6?
6
Suppose 0 = n - 5*j - 25, 1 + 20 = n - 4*j. Suppose -3*t + 3 = n*v - 61, -8 = 4*t. Suppose 55*r + 16 = 63*r. Calculate the lowest common multiple of v and r.
14
Let g(w) be the second derivative of -5*w**3/3 + w**2 - 6*w. Let d be g(-1). What is the common denominator of (-729)/12*(-2)/d and -5/6?
24
Let o be (-7)/28*9*(-7 + -1). Suppose q - 2*h = 3*h - o, -3*h = 3*q - 18. What is the lowest common multiple of 46 and q?
46
Suppose -m - h + 7 = 0, 0*m + 2*m + 4*h = 24. Find the common denominator of (m/(-30))/((-16)/760) and 53/10.
30
Let g = -875767/45 + 19460. What is the common denominator of g and 61/36?
180
Let g(h) = h**3 + 5*h**2 - 2*h - 9. Calculate the lowest common multiple of 5 and g(-3).
15
Suppose g - 2*v = -4*g + 200, -v + 5 = 0. Suppose -3*y + g = 4*y. Calculate the least common multiple of (48/(-18))/((-4)/6) and y.
12
Let y be ((-15)/6 - -2)*0. Suppose y = 2*p + 3 - 15. Suppose -10*g = -108 + 18. Calculate the lowest common multiple of p and g.
18
Let k = -157 + 182. Let i be 6 + 2 + 2*-1. Suppose 5*u + k = 5*w, -3*w + i*w - u = 11. Calculate the least common multiple of 5 and w.
15
Let o(t) = t**3 + 24*t**2 - 2*t + 16. Let h(s) = -5*s - 64. Let a be h(-8). Calculate the least common multiple of o(a) and 16.
64
Let j be ((-1)/(-2 + 0))/(3/(-42)). What is the common denominator of -47/9 and 2/6 + j*11/30?
90
Let i = 5 - 3. Suppose -10 = -i*d + d. Suppose 4*r - d = -r. What is the smallest common multiple of r and 4?
4
Suppose -20 - 12 = -t. What is the lowest common multiple of ((-14)/7 - 3) + (-5)/((-20)/68) and t?
96
Suppose 0 = 9*f - 606 + 552. Suppose -2*m + 18 = 7*d - 3*d, -d = 5*m + 9. What is the least common multiple of f and d?
6
Calculate the smallest common multiple of 65 and 3/(-27)*0 - -52.
260
Let v = -275 - 340. What is the common denominator of (-7)/32 + 1/(-4) and ((-6)/150)/((-12)/v)?
160
Let h = 28326/11 + -2577. Let v = -45/16 + 1209/80. What is the common denominator of v and h?
110
Calculate the lowest common multiple of 24/(-10)*-5*(-4)/(-8) and 4/8 - 297/(-6).
150
What is the common denominator of -64/9 and (-2)/10*3 + 1099/315?
9
Let n = -360 + 380. What is the lowest common multiple of n and 30?
60
Let k(l) = -l + 2. Let v(c) = c**2 + 6*c - 7. Let q be v(-6). Let a be k(q). Let j = a + -1. What is the least common multiple of j and 8?
8
Let l be (1/(-15))/(5*(-6)/429375). Let v = l - 960. Calculate the common denominator of v and 2/8 - (-307)/(-12).
6
Let i be (2/3)/(4/12). Let q(l) = 2*l - 2. Calculate the smallest common multiple of q(i) and (-70)/(-15) + (-2)/3.
4
Suppose 0 = 12*z - 66 - 78. Calculate the smallest common multiple of 124 and z.
372
Let y = 21317/16422 - -16/2737. Find the common denominator of 23/9 and y.
306
Suppose -448 = -5*k + 2*h, 7*k - 2*k - 455 = -5*h. What is the lowest common multiple of 50 and k?
450
Let s be 212/18 + (-10)/(-45). Suppose -3*m = -s, -4*h - 5*m + 10 = -5*h. Calculate the least common multiple of h and 3.
30
Suppose 3*o - 6 + 20 = 4*p, 2*p = -2*o. Suppose -7 - 1 = -p*q. Suppose -3*