?
30
Let g = 198117/16 - 12378. What is the common denominator of ((-4)/6)/(64/30) and g?
16
Suppose -4*i = -4*o + 4, i + 5*o = 22 + 7. Suppose -4*p = -4*t + 56, -4*t = p - 21 - 10. Calculate the least common multiple of t and i.
36
Suppose 4*d - i - 789 = 0, 384 = 2*d + 54*i - 58*i. Suppose 2*l = 4*v - 15 + 3, 0 = 3*l - 2*v + 2. Calculate the lowest common multiple of l and d.
198
Let s(t) = 5*t**2 + 5*t + 4. Suppose g = 2*m - 2, -g - 5*m = -0*g - 5. Suppose -4*v + 80 = -g*v. What is the least common multiple of v and s(-2)?
140
Let i = 265/27 - 2365/108. What is the common denominator of 151/504 and i?
504
Let s = -5085/16 - -127773/400. Suppose 5*r = -l + 41, 5*l + 4*r = 184 - 0. What is the common denominator of 6/4*(-74)/l and s?
300
Suppose 110 + 210 = 10*g. Let o = 54 - 30. What is the lowest common multiple of o and g?
96
Let n = -39325871 - -786913111/20. Let r = -19789 + n. Calculate the common denominator of r and 3/44.
220
Suppose 5*c = -0*z + 5*z - 70, 4*c + 8 = 0. Let v be 9 - 2/((-8)/z). Let l = v - 6. What is the lowest common multiple of l and 18?
18
Let h(f) = 2*f + 5. Let s be h(-2). Let q be (-52)/(-24219)*s/(-2). Let a = 4142/1863 + q. Find the common denominator of a and -143/6.
18
Let f be (-2022)/(-6) - 2/(-4)*4. Let k = -188 - -320. Calculate the common denominator of -29/16 and -2*(f/k - 3).
176
Let v = -145/19 - -36015/4769. Let x = v + -23183/2008. What is the common denominator of (-1)/3*(-218)/12 and x?
72
Let h = 93141783/440 + -211686. What is the common denominator of 99/2 and h?
440
Find the common denominator of (9 - -1)/((576/(-44))/2) and -29/28.
252
Let q = -1079/4 + 776/3. Let f = 6520021/10 + -652897. Let i = f - -903. Find the common denominator of i and q.
60
Let g = 497/3 - 347/2. Calculate the common denominator of g and 455/2*1/50.
60
Suppose 1 = -6*x - 35. Calculate the common denominator of 68/264*(3 - x) and 71/16.
176
Let m(t) = t**3 - t**2 - t + 2. Let o be m(1). Find the common denominator of 29/7 and (-135)/44 - o*(-1)/4.
77
Suppose -845 = 26*f - 6461. What is the smallest common multiple of 135 and f?
1080
Calculate the common denominator of ((-93)/(-8))/((-3)/12) and (-12 - 1168/24)*(-3)/16.
8
Let q be (-7)/(-14) - (-2047)/2. Let l be 1214/(-785)*q/(-148). Let z = 1/11618 - l. What is the common denominator of -41 and z?
10
Suppose 3*q - 3*v = 12, -2*q - 2*q + 10 = 2*v. Suppose 4*j - 11 = -3*d + q*j, -3*j = -6. What is the smallest common multiple of (3/3)/(4 - d) and 7?
7
Calculate the common denominator of (-6)/(-18) - (-518)/12 and (-5 - -9) + 274/(-44).
22
Suppose 3*r - 3*t = 27 + 87, 176 = 4*r + 2*t. Calculate the smallest common multiple of r and 6.
42
Suppose 0 = 5*d - 5*l - 40, -d - 5*l + 16 = -10. What is the least common multiple of 9 and d?
99
Let i(z) = -3*z - 17. Let c be i(-8). Suppose 5*t - 4 = c*t. Find the common denominator of 1/46 and t/(-4) + (-255)/(-20).
92
Let r be 6/2 + -6 + 0. What is the lowest common multiple of r/15 - (-72)/10 and 2*194/36 - (-120)/540?
77
Let p(z) = 4*z + 219. Calculate the least common multiple of p(-48) and 225.
675
Suppose 0 = 2*b - 8, -3*b + 10 = 3*v - 11. Let y(j) = 15*j. What is the least common multiple of y(1) and v?
15
Suppose 2*b - 111 = 5*b. What is the common denominator of 1*46 + (-2)/4 and (-6)/(-4) - b/22?
22
Let d be 2327/(-775) + (-2 + 5)*1. Let j = -61217/3100 + d. Find the common denominator of j and -8/5.
20
Suppose -3*g = 3*u - 0*u - 24, 2*u = -6. What is the lowest common multiple of g and ((-286)/(-52))/((-2)/(-4))?
11
Suppose 0 = 3*s - 1 - 44. Suppose -2 - 2 = -q + 2*f, 0 = -3*f + 12. What is the least common multiple of s and q?
60
Let o(r) = r**3 - 8*r**2 + 2*r - 9. Suppose -3*d = 46 - 1. Let i be 10/d + 26/3. What is the lowest common multiple of o(i) and 2?
14
Let b be 2/6*(-802608)/(-416). Let w = b + -639. Find the common denominator of 41/18 and w.
234
Let l(t) = -148*t + 22. Let v be l(4). What is the common denominator of 97/4 and 1/6*v/(-16)?
16
Let d = 5617/8 + -698. Find the common denominator of 83/20 and d.
40
What is the least common multiple of 12 - (-11)/(-55)*5 and 343?
3773
Let s(o) = o**3 - 3*o**2 - 2*o - 7. Let r be s(5). Suppose 0 = y - 12 + r. Let b = -15 - y. What is the smallest common multiple of 4 and b?
12
Let q = -6593181/19865225 - -331/997. Let a = q + 1414631/438350. Find the common denominator of a and 13/10.
110
Let t(c) = -403*c - 11. Let n(x) = 604*x + 17. Let r(v) = 5*n(v) + 7*t(v). Let p be r(-6). Let z = p + 4779/4. What is the common denominator of -19/22 and z?
44
Let p be (-1918)/4*(-135)/126. Let n = -520 + p. Find the common denominator of n and 41/44.
44
Let p = 27343/5608 + -1/1402. What is the common denominator of -31/30 and p?
120
Let v be (-2 - -1)/((-11)/22). Suppose 5*a + 240 = 5*g, 2*a + 42 = a - v*g. Find the common denominator of -5/9 and a.
9
Suppose -5*v = -v - 21276. Suppose 2*s - 3*s = -q + 1773, v = 3*q + 3*s. Let n = 17681/10 - q. Find the common denominator of n and -93/14.
70
Let w(b) = -19*b + 12. Let m be w(8). Calculate the common denominator of -19/3 and 574/m + (-2)/4.
15
Find the common denominator of 85/56 and 2 + -8 - (-7427)/3276*3.
2184
Let w = -7040437/1183260 - -2/59163. Find the common denominator of 77/100 and w.
100
Let v(k) = 5*k + 33. Let m be v(-7). What is the common denominator of (-3)/m - 146/(-72) and -59/24?
72
Let u be 27*((-10)/3 - -3). Let i = 25 - u. What is the common denominator of -19/3 and i?
3
Let u = 13 + -16. Let x(n) = -1 + 2*n - 11 + 2*n**2 + 8. Calculate the least common multiple of x(u) and 9.
72
Let n(s) = s**3 - 6*s**2 + 5*s + 6. Calculate the lowest common multiple of 69 and n(5).
138
Let m be (-1)/2 + 0 + 45/30. What is the smallest common multiple of 4 + 0 - m*-12 and 12?
48
What is the common denominator of (-22038)/(-2448) + 54/(-6) and -67/24?
408
Let k = -410/239 - -45459/12428. Let t = -339/10 - -36. What is the common denominator of t and k?
260
Suppose -2*c = 2*z - 226, -3*c + 148*z = 146*z - 314. Calculate the least common multiple of c and 4/10 - 18/(-5).
108
Let z(w) = -10*w**2 - w + 4. Let r be z(-2). Let f = -20 - r. Calculate the least common multiple of (-9)/12 + (-67)/(-4) and f.
112
Let n(a) = 143*a**2 - 7*a - 7. Let m be n(-5). Let d = -226969/63 + m. Let b = -2915/252 + d. What is the common denominator of b and 53/2?
4
Find the common denominator of 127/12 and ((-131)/(-7))/(-18 + (-29538)/(-63)).
3156
Let x be (112/(-70))/((-16)/(-10) - 2). Suppose -d - 17 = -p, 0*d + 4 = x*d. What is the smallest common multiple of 15 and p?
90
Let v = -11 - -15. Suppose -q + v*q = 30. Suppose 6 = -290*c + 291*c - 4*s, c + s - 6 = 0. What is the smallest common multiple of q and c?
30
Let r be ((-12)/(-2))/(10/(-5)). Let v = -131 + 65. Find the common denominator of r + (819/v)/(-3) and -89/12.
132
What is the common denominator of -11/208 and (-17046)/2808 - (-4 - (-1 - -3))?
624
Let n be (-1)/((-14)/60 + (-18)/(-54)). Let v(q) = 3*q + 42. Calculate the smallest common multiple of v(n) and 11.
132
Suppose -487*w + 485*w = -44. Calculate the smallest common multiple of w and 22.
22
Let d = 821/924 + -22/21. What is the common denominator of 0/1 + 106/4 and d?
44
Calculate the common denominator of -13/8 and (1/5)/(6012/(-120)).
4008
Let r = 1411/207 + -98/23. Find the common denominator of (-10)/75 - (-2)/(480/602) and r.
72
Suppose c - 9*c = -640. What is the lowest common multiple of c and 35?
560
What is the common denominator of (5 + 0 + 5)*(-8)/(-768) and -31/176?
528
Suppose -h - 4*x + 348 = 0, 2*x + 2541 = 5*h + 867. Find the common denominator of (-12)/(-84) - 1210/h and -107/12.
24
Let f = -51/104 - 7457/2184. Calculate the common denominator of f and (-49)/30 - 0/(-5).
210
Let d = 8 + -1. What is the common denominator of 834/(-28) + 2/d and ((-32334)/(-360))/17 - (-12)/(-10)?
12
Let f = -2497 - -22412/9. Calculate the common denominator of f and -17/12.
36
Let m(w) be the first derivative of w**4/4 + 8*w**3/3 + 9*w**2/2 + 4*w + 6. Let s be m(-7). What is the common denominator of 8/s - 4771/(-1170) and -19/30?
90
Let b(i) = -i**3 + 6*i**2 - 3. Suppose 10*t = t + 54. Let x be b(t). Find the common denominator of -73/12 and -3 + (x - 65/2).
12
Suppose 0 = 6*r - 5*r - 198. Let q = -102/121 + 12757/121