6/415. Let c = g - -2701. Find the common denominator of z and c.
42
Let x = -21 - -23. Find the common denominator of 34/9 and (-6)/x - (-50)/18 - 1.
9
Suppose 5*z + 2*c - 217 = 3*c, -76 = -2*z + 4*c. What is the smallest common multiple of z and (1 - 0)/(3/18)?
132
Suppose -4*w + 2*p + p = -23, 0 = -3*p + 9. Suppose 30 = d + w. What is the least common multiple of 98 and d?
1078
What is the common denominator of -17/75 and (16/714 + (-26)/221)*-54?
525
Suppose 0 = 2*q - 6*q - 108. Let k = -23 - q. Let c(s) = s**3 - 5*s**2 + 4*s + 5. Calculate the least common multiple of 9 and c(k).
45
Let l(n) = -42*n + 34. Calculate the smallest common multiple of 68 and l(-1).
1292
Let i be (-3)/18*8 - (-525)/9. Find the common denominator of (i/(-6) + 5)*(-7)/(-12) and 89/4.
8
Let f = -461 + 955/2. What is the common denominator of f and ((-49)/(-70))/(4/(-14))?
20
Let f = -169/42 + 2921/770. Calculate the common denominator of -31/99 and f.
495
Suppose -10*v + 6*v = -32. What is the lowest common multiple of 10 and v?
40
Suppose -5*s - 68 = 4*w, 2*w = s - 5*s - 52. Let b = -1439/2 - -737. Calculate the common denominator of 1 - 0 - (-74)/s and b.
6
Suppose -7*b = -6*b - 27. Suppose -6*d + b = -21. Calculate the lowest common multiple of d and 6.
24
Let b = -1488931/99 - -15040. Let s = 9497/990 - b. Let i = 712/39 - 399/52. Calculate the common denominator of s and i.
60
Let b(v) = 15*v - 153. What is the lowest common multiple of 44 and b(11)?
132
Let d be ((-270)/(16/(-20)*1))/(-3). Let i = d + 5729/50. Calculate the common denominator of ((-134)/9)/(2/(-3)) and i.
75
Suppose y + 2*y = z - 18, 4*z + 5*y - 72 = 0. Calculate the least common multiple of (1*(-4 + -11))/((-16)/8 - -1) and z.
90
Let x = -47069/8 + 5880. Let k = 121277679/92395 - 2/92395. Let f = k - 1300. Calculate the common denominator of f and x.
40
Let l(s) = s**3 - 4*s**2 - 5*s - 12. Let i be l(5). Let n be 3/(-3) + i/(-6). Suppose -4*r + n + 7 = 0. What is the smallest common multiple of 8 and r?
8
Let u be (33/15 - 3)*-15. Let w = u - 11. What is the common denominator of 21/8 and (w/2)/((-45)/(-1098))?
40
What is the smallest common multiple of 22 and (-20 - 215)/((-2)/8*2)?
5170
Suppose 5*a = -3*k - 28, 15 = k + 4*k - 4*a. Let o be 0 + 1 + 4 + k. Suppose -o*l + 55 = l. What is the least common multiple of 10 and l?
110
Suppose 30 = 3*o + 2*o. Let i be o*6/(-9) - -1. What is the least common multiple of 6 and (-14)/2*(-4 - i)?
42
Let k(p) = 25*p**2 + 2*p + 1. What is the smallest common multiple of 3 and k(-1)?
24
Suppose -127 = -4*z - 47. Let p = -71 + 80. What is the smallest common multiple of z and p?
180
Suppose 5*b = 2*m + 105739, -2*b - 4*m = -0*b - 42286. Let g = b - 380785/18. Find the common denominator of g and 77/2.
18
Let m(k) = 44*k. Let w be m(-1). What is the least common multiple of 10 and w/(-8) - (-6)/4?
70
Suppose 241*k = 231*k + 300. What is the lowest common multiple of k and 80?
240
Let y(h) = 16153*h**3 - 3*h**2 + 3*h - 1. Let f be y(-3). Let k be (f/(-96))/(9764/(-18)). Let u = k + 2/2441. What is the common denominator of -16/19 and u?
152
Let x = -14 + 23. Let z(v) = -v**3 + 9*v**2 + v - 3. What is the least common multiple of z(x) and 2/(21/(-12) + 2)?
24
Let z = -350303/20 + 17511. Find the common denominator of z and 134/(-24) + 0/3.
60
Suppose -o + 54 = 5*f - 3*o, -3*f + 30 = -2*o. Let l be 1/(2 + (-22)/f). Suppose -54 = -9*c + l*c. Calculate the smallest common multiple of c and 20.
180
Let m = 18426/7 - 2640. Calculate the common denominator of 3 + (11*(-10)/(-5225))/((-4)/225) and m.
266
Suppose -o - 5*v + 98 = 0, 0*v - 5*v = 5*o - 470. Suppose -95*l = -o*l - 20. Calculate the smallest common multiple of l and 14.
70
Suppose -5*r + 28 - 3 = 0. Suppose 0*l - r*l = -10. Suppose -8 = -l*j + 6. Calculate the smallest common multiple of 4 and j.
28
Let r(y) = -5*y - 5. Calculate the lowest common multiple of r(-4) and 21.
105
Suppose -126 - 2 = 8*r. What is the common denominator of (-4)/(-50)*940/r and 13/7?
70
Let z = -51 + 71. What is the least common multiple of 36 and z?
180
Let u(j) = -2*j**3 - 4*j**2 - 2. Let z be u(-3). Let l be (-20901)/45*(-84)/z. Let i = -2439 + l. Calculate the common denominator of -79/14 and i.
140
Let c(s) = 31*s**2 + 14*s + 18. Let k be c(-4). Let n = -29833/2 + 14439. Let z = k + n. What is the common denominator of 101/4 and z?
4
Let x = -1853/280 + -13406177/3080. Let f = x + 4363. Find the common denominator of f and 19/17.
187
Let n be (-3904)/6 + 7/(84/18). Let d = n + 653. Find the common denominator of -85/4 and d.
12
Let x = -33695/16764 - -135/127. What is the common denominator of x and 86/(-18) - (-8)/(-16)?
396
Let n(i) = -47*i**3 - 5*i**2 - 10*i + 4. Let a be n(5). Let r = 108893/18 + a. Let f = -174631/14 + 12466. Calculate the common denominator of f and r.
126
Suppose -6*f + 50 = 4*l - 4*f, 4*l = 5*f + 57. Calculate the smallest common multiple of (l + 1)/(-4 + 5) and 10.
70
Let t = -981 - -1237. Calculate the smallest common multiple of t and 160.
1280
Let k = -152433/3278 + 3/1639. Find the common denominator of -55/12 and k.
12
Let s = -1088750448 + 704921646. Let o = s + 1128456636227/2940. Let q = o - -1/980. What is the common denominator of -21/4 and q?
12
Let o = 106 - 180. Calculate the least common multiple of 5 and (8 + o)*(-2)/3.
220
Suppose 21 = 16*d - 123. Suppose d*a = a + 160. What is the least common multiple of 8 and a?
40
Let r = -2613/5 + 529. What is the common denominator of r and 29/(-200) + (-18)/48?
25
What is the smallest common multiple of 6/(-14) - (-1859)/91 and 45?
180
Let b = 191/25 + -46/25. Suppose 5*m - 3*w + 22 = 0, -3*m + 0*w - w = 2. Calculate the common denominator of 2 + -2*m*(-3 - -2) and b.
5
Let x(q) = -6 - 8*q - q**2 - 13*q + 12*q. What is the least common multiple of (32/(-24))/((-8)/6) and x(-7)?
8
Suppose -4*x - 89 = -3*x. Let p = -3/11 - -163/154. Calculate the common denominator of p and x/3*(-3)/(-22).
154
Let v(x) = x**2 - x - 17. Let i be v(-4). Suppose 8*g + 5*n = i*g - 10, -10 = 2*n. Calculate the least common multiple of 8/(-10)*25/(-2) and g.
30
Suppose 0 = -j - 0 - 1, -3*t - 3*j = -171. Suppose t - 154 = -4*i. What is the least common multiple of 27 and i?
216
Let t = -18 - -15. Let j be 1/(-2*t/(-48)). Calculate the common denominator of (-67)/3*(-6)/j and 111/22.
44
Let o = 49 - 47. Let r(a) = 3*a**2 + a + 2. Calculate the least common multiple of 8 and r(o).
16
Let l = -52596661/30 - -1753432. Let v = 635/3 - l. Find the common denominator of 83/16 + -3 + 2 and v.
80
Let b = 19 + -22. What is the common denominator of -22/3 and (b + 298/108)*-33?
18
Let j = 17235 + -344803/20. Calculate the common denominator of (-2)/10 + 346/(-20) and j.
20
Suppose n - 5*n = 36. Let f be 3/n - 538/6. What is the common denominator of f/4*1/4 and 71/6?
24
Suppose -351*w + 347*w = -420. Calculate the smallest common multiple of 56 and w.
840
Calculate the common denominator of 2 + -2 + 1/10 and (-4)/14 - (-3 - 318/(-112)).
40
Let j be 8/(-2 - -3) + 2. Suppose j = -4*g + 5*g. Calculate the least common multiple of 6 and g.
30
Let a be ((-41)/4)/(4/424). Let i = a + 84793/78. Calculate the common denominator of -29/6 and i.
78
Let v be (-1 - -2) + -2*(-26)/(-4). What is the common denominator of (-730)/v*6*(-1)/(-80) and 87/28?
112
Let b(x) = 2*x**3 - 5*x**2 + 14*x - 15. Calculate the smallest common multiple of b(3) and 4.
36
Suppose 0*k = -k + 20. Suppose 0 = 10*p + 3*p - 26. Suppose 4*a + u = 71, 2*a + 4*u - 68 = -p*a. Calculate the lowest common multiple of k and a.
180
Calculate the lowest common multiple of 1 and 144*(8/(-44) + (-52)/(-44)).
144
Let l = 1127 + -1111. What is the smallest common multiple of 386 and l?
3088
Calculate the common denominator of 161/(-110) + (-2)/5 and (1833/(-130))/(-4 + 10).
220
Let i = 88641/16 + -5537. Suppose 0*t + 5*t = 640. What is the common denominator of 3/2 + (-278)/t and i?
64
Suppose 4*r = -0*d - 4*d + 212, 5*d + 5 = 0. Find the common denominator of -119/10 and r - (5 - 3/3).
10
Let a be (0 - 1)/1*(-2635)/(-15). Let y = a - -729/4. Find the common denominator of -67/10 and y.
60
Suppose -3*t - 4*w + 4 = -3*w, -3*w = t - 12. Suppose t = 11*c - 388 - 1306. Calculate the least common multiple of c and 18.
1386
Let r