is the common denominator of (z/176)/(g/2) and 97/10?
110
Suppose 0 = -d - 3*g + g + 35, -5*d + 5*g + 100 = 0. Suppose 4*a - 7*b + 4*b = 35, -3*a - 10 = 5*b. What is the smallest common multiple of d and a?
25
Let w(i) = -i**3 + 6*i**2 - 8*i - 3. Let q be w(4). Let u = 324531/26 + -12480. Calculate the common denominator of u and q/9 - -33*2/4.
78
Let t = 347 + -327. What is the common denominator of ((-2272)/23430)/((-23)/t + 1) and 47/45?
495
Calculate the smallest common multiple of 160 and (-20 + 12 - 1) + 229.
1760
Let r be -4 + (-190571)/(-16786) + 3 + -5. Let t = r + 5/1199. Let d = 2297/95 - 258/19. Find the common denominator of d and t.
70
Let q(t) = -7*t**2 + 4*t**2 - 22 + 2*t**2 - 15*t. Let v be q(-12). Find the common denominator of 18/7 and v/(-49) - ((-57)/77 - -1).
77
Let h = -41/90 + 2/5. What is the common denominator of 36/(-96)*(-1 - 7)/(60/42) and h?
90
Let m be 5 + (-168*2)/(-2). Let s = -391/2 + m. What is the common denominator of s and -69/10?
10
Let g = 46939 - 2910149/62. Find the common denominator of g and 83/18.
558
Suppose -185*c - 45 = -188*c. Suppose -z - 4*y + 61 = 0, -5*z + 3*y + 324 = 4*y. What is the smallest common multiple of z and c?
195
Let d be ((-7)/(-4))/(3/(-156)*1). Let o = 96 + d. Suppose n + 0*j = -2*j, o*n - j - 22 = 0. Calculate the lowest common multiple of 4 and n.
4
Let d(m) = 2*m**3 + 22*m**2 - 21*m + 58. What is the least common multiple of d(8) and 20?
23220
Suppose -39*z + 469 = 3*z + 25*z. Calculate the smallest common multiple of 16472 and z.
115304
Let k = 1031907/2048020 - 1/102401. Find the common denominator of k and 61/80.
1040
Let s = -5194679/363409 + 4/21377. Let t = s - -147953/10353. Find the common denominator of -12/5 and t.
3045
Let a = 876 + -7955/9. Let x(p) = -44*p - 12. Let z be x(16). Calculate the common denominator of a and (45/300)/((-18)/z).
90
Let v = -1970 + 1974. Suppose 5*u - 47 - 58 = 0. What is the least common multiple of v and u?
84
Let o = 18356461/6 - 3052792. Let m = 6596 - o. Let b = 2/5621 + -61921/252945. Calculate the common denominator of m and b.
90
Let y = -77 + -10. Let k = y - -97. Let g = 2 + k. Calculate the smallest common multiple of g and 8.
24
Let t = 5968 - 5792. What is the lowest common multiple of 12 and t?
528
Suppose 4*n = 9*n - 40. Suppose -24 = -5*w + 6. Suppose 0 = -w*a + 13 + 107. What is the lowest common multiple of a and n?
40
Let u(n) = -n**2 + 30*n - 103. What is the smallest common multiple of 472 and u(17)?
472
Let d = 18587/2252 - 2/563. Find the common denominator of d and -2 + 3 + 374/(-488).
244
Find the common denominator of -16/25 and 566/(-420) - (-45)/(-270).
175
Suppose -5*h = -2*h - 5*z + 105, -3*h - 123 = z. Calculate the common denominator of (-358)/h - (-11 - -17) and -41/18.
180
Suppose -8*r = 7*r. Calculate the common denominator of -1 + (r - -15)/(640/20) and 61/20.
160
Suppose 3*n = 4*n - 4. Let r(i) = -4*i + 124. Calculate the lowest common multiple of n and r(17).
56
Suppose 42*r - 37*r - 5*n = 30, 4*n - 48 = -4*r. Calculate the least common multiple of r and 4042.
36378
Let a = 7869938 - 78790807/10. Let h = 9132 + a. What is the common denominator of h and -51/47?
470
Let l = -15031/6222 + -80/183. Find the common denominator of l and -67/238.
238
Suppose -240*h = -2534 - 9466. Suppose 3*p = 7*p. What is the lowest common multiple of h and (6 - 4)*(1 + p)?
50
Let x be (-9 + 11)/(4/(-70)). Let z be (-24)/(-7) + 15/x. Suppose -128 = z*m - 11*m. What is the smallest common multiple of m and 20?
80
Let h = 1572 - 1524. Calculate the lowest common multiple of 576 and h.
576
Find the common denominator of 494/(-220) + (3 - 8/16) and (18/(-5))/(2 - 4).
55
What is the common denominator of (826/(-96))/7 - -1 and 20/(32760/(-651)) - 1?
624
Let l = -7/57768 + -128765/188785824. What is the common denominator of -85/2 and l?
26144
Let z = 60959/6504 - -2/813. Calculate the common denominator of 121/8820 and z.
17640
Let j = -24479/6 + 4092. Let v = 3807/7 + -11446/21. Find the common denominator of j and v.
42
Let f be (-14)/(-7) + 0 + 7/1. Suppose -5*k = f - 144. Calculate the least common multiple of k and 21.
189
Let p = 6306 + -6294. Calculate the lowest common multiple of 3868 and p.
11604
Let a(k) = -k**3 - 10*k + 2*k**2 + 3 - 3 + 2 - 11*k**2. Let s(z) = 2*z**2 - 8*z - 122. Calculate the lowest common multiple of s(-7) and a(-8).
288
Let g = 52307/210 - 5192/21. Find the common denominator of (1448/(-260))/2 + 3 and g.
910
What is the common denominator of -181/120 and (-21)/80 + (-36)/108 + 4/9?
720
Let g = 235/57 + -3700/1197. Find the common denominator of (2/((-2)/37))/(-7) and g.
63
What is the lowest common multiple of 658 and 69/92 + ((-175)/4)/(-7)?
658
Suppose 4*w + 0*w - 336 = 0. Suppose u - 3*u + w = 0. What is the lowest common multiple of 15*((0 - 2) + 1)/(81/(-54)) and u?
210
Let s = 771022 - 6182505/8. Suppose 5*h - h + 7200 = 0. Let g = h - s. What is the common denominator of -17/6 and g?
24
Let w = 4920 - 83689/17. Find the common denominator of -149/180 and w.
3060
Let x = -203809/1265 + 3696/23. Find the common denominator of x and 103/70.
770
Let s be ((-1)/(-7))/((-6)/(-21))*4564. Let r = s - 61648/27. Calculate the common denominator of -56/15 and r.
135
What is the common denominator of 126/28 - 120180/26784 and 23/99?
24552
Let u = 810/17 + -12356/153. Let g = 36 + u. Find the common denominator of -2 + ((-92)/(-21))/1 and g.
63
Let b = -11/780 - 421/260. What is the common denominator of 9/(-60)*(-1085)/(-14) and b?
120
Suppose k + 978 + 211 = 5*w, -5*w = -4*k - 1201. Suppose 1473 + w = 30*o. What is the smallest common multiple of 7 and o?
399
Let f = 7255/5232 - 108/109. Calculate the common denominator of f and 22/9.
144
Let s(o) = -o**3 - 7*o**2 - 8*o - 11. Let r be s(-6). Calculate the least common multiple of 162*((-1)/(-2))/r and 12.
324
Suppose 204*y - 227*y + 69 = 0. Let p be (-134)/(-4) - 1/(-2). What is the common denominator of p*(-3 + y + -1) and 45?
1
Let y be 6 - (4 + (-8)/4). Calculate the least common multiple of 4*3/y*5 and 27.
135
Suppose 8*u - 55 + 7 = 0. Suppose -u*m = -26 + 2. What is the least common multiple of 84 and m?
84
Suppose -9 = -3*y + 3*d, 13*d = 4*y + 14*d - 2. What is the lowest common multiple of ((-8)/(-20))/(y/5) and 20?
20
Let s(b) = -2*b**2 - 28*b - 8. Let l be s(-6). What is the lowest common multiple of (-6)/(-10) + 119/35 and 4/((-48)/(-9)) - (-1518)/l?
36
Suppose -5 + 14 = 2*m + 5*c, 3*m + 5*c - 21 = 0. Let k be (0 - 4/m)*3 - 251. Find the common denominator of -73/8 and k/(-624)*(-12)/(-14).
104
Let s(t) = 2*t - 4. Let l = 131 + -110. Calculate the smallest common multiple of l and s(14).
168
Suppose -2*z - 235 = -7*z. Suppose -93*g - 29 = -119*g + 75. Calculate the smallest common multiple of g and z.
188
What is the common denominator of -43/2082 and 2/12*(-223)/(-446)?
4164
Let f(j) = -5*j**2 - 3 + 10*j**2 - 4*j**2. Let r = -6 - -24. What is the lowest common multiple of f(3) and r?
18
Let s(a) = -a**3 + 12*a**2 + 6*a - 345. What is the common denominator of s(8) and 42/851?
851
Suppose -615 = -5*t + 5*i, -2*t + 237 + 39 = 4*i. What is the smallest common multiple of 10 and t/4 - 4 - 6?
110
Suppose 0 = 3*q - 4*g - 3052, -13 = 4*g + 3. Calculate the smallest common multiple of q and 56.
14168
Suppose 11*u = -7*u + 1962. Suppose 0 = 13*h - u + 44. Calculate the smallest common multiple of 135 and h.
135
Let v = 10 - 7. Let m(u) = 28*u + 8. Let x be m(2). Let i = x + -58. What is the least common multiple of v and i?
6
Let u be (-8)/60 - (-61072)/(-60). Calculate the common denominator of -8 + (u/(-84) - 8) and 103/154.
462
Find the common denominator of (-83)/((-2)/((-2938)/8832 + (-39)/(-117))) and 7/736.
2944
Let v = 210455/18 - 11689. What is the common denominator of v and 56/1485?
2970
Let x = 2863 - 5727/2. Find the common denominator of x and 5/208.
208
Let r(d) = 22*d + 16. Calculate the least common multiple of r(0) and (-1784)/(-28) - (-4)/14.
64
Let w = 43250629 - 1297746047/30. Let r = -7570 - w. Find the common denominator of 41/20 and r.
60
Let x = 5117 - 5073. Calculate the least common multiple of x and 12.
132
Calculate the common denominator of (6/304)/((-3)/(-10)) and (-100)/(-440)*(-3)/(-15)*-21.
836
Find the c