996102 - -311618167701/8423. Let v = 23540129/2779590 - t. Let h = 56/33 + v. Find the common denominator of h and 31.
10
Suppose 7334*z - 7 = 7327*z. What is the lowest common multiple of z and 135?
135
Let w = -1126/3 - -384. Find the common denominator of ((-4)/(-96)*98)/(3/(-6)) and w.
6
Suppose l = -l + 82. Calculate the common denominator of l/((-4)/(-1) + 3) and ((-2)/7 + -1)/((-6)/105).
14
Suppose -d - 204 = -4*m, 2*m + 4*d - 47 = 73. Calculate the common denominator of -29/2 and m/6*9/(-24).
4
Let y(b) = b**2 + 17*b + 35. Let v be y(-15). Suppose v*m = 43 + 2. What is the smallest common multiple of m and 24?
72
Let g = 3 + -9. Let l(v) = -4*v - 14. Suppose 40 = z + 3*z. What is the smallest common multiple of z and l(g)?
10
Let k = 1/241 + -8925/1928. Find the common denominator of k and 69/16.
16
Let p = 139 - 128. What is the lowest common multiple of p and 11?
11
Suppose 2 = u + 1. Suppose -4*c + 4*r = -52, 5*r = -c - 7 - 4. Calculate the least common multiple of c and u.
9
Let t = -1 - 9. Calculate the lowest common multiple of ((-16)/20)/(4/t) and 4.
4
Let o be (-23)/(-7) + (-32)/112. What is the smallest common multiple of (11/(-4))/((-7)/28) and (3/2)/(o/6)?
33
Suppose 5 = d - 2*d - 5*g, -d + 3*g = -27. Let l = 30 - 6. Calculate the smallest common multiple of d and l.
120
Suppose 216*d - 120 = 210*d. Calculate the least common multiple of d and 174.
1740
Suppose 148*x = 140*x + 184. What is the smallest common multiple of x and 48?
1104
Let t = -19 + -33. Let w be (1/(-33))/(t/(-39174)). Let y = -243/13 - w. Calculate the common denominator of 19/4 and y.
44
Let z be (-8)/(-12) - (-4)/3. Suppose h - 36 = -z*h. Calculate the least common multiple of h and 18.
36
Let l be (14/11)/((-84)/8870519). Let a = 134398 + l. Let q = -1/6 - a. What is the common denominator of 29/15 and q?
165
Let i = 29517/10 + -2955. What is the common denominator of (-16)/40 + 724/(-40) and i?
10
Let z = -212435/21 + 10113. Calculate the common denominator of -93/14 and z.
42
Let s = 1/16 - -139/16. Find the common denominator of s and 103/66.
132
Calculate the common denominator of -47/555 and 8/(-68) - (-19283)/(-9350).
5550
Let o be 0 - 10*(1 - (-6)/(-4)). Suppose 0 = o*u - 4*u - 5. What is the smallest common multiple of u and 6*4/6*1?
20
Find the common denominator of -9/94 and (-3198)/(-156) + (-2)/(-4)*8.
94
What is the lowest common multiple of 45 and (-15 - -18) + (2 - -38) + 2?
45
Let d be 1 + -21 - (-6)/6. Let f = -12 - d. Let m = f - -15. What is the smallest common multiple of 4 and m?
44
Let q be -2 + (-165)/(-6) + -4. Let o = -67/6 + q. Calculate the common denominator of 19/6 and o.
6
Let c = -66 - -104. Suppose 0 = -3*n + 2*r + 38, -14*n + 10*n = r - 69. Calculate the least common multiple of c and n.
304
Let w = -15007199/170 + 88277. What is the common denominator of -97/110 and w?
1870
Suppose 3*d - d - 30 = 0. Suppose -3*p - d = -g + 10, 0 = 3*p + 3. Let y(s) = 2*s - 6. Calculate the least common multiple of y(5) and g.
44
Let z be (-4)/6 - (-2437206)/397872. Let m = -5/8289 + z. What is the common denominator of 17/21 and m?
168
Let o = 5945 - 107053/18. Calculate the common denominator of 52/99 and o.
198
Suppose 2*x - 25 - 15 = 0. Let u = x - 14. What is the smallest common multiple of u and 52?
156
Suppose -6*x = -8*x - 146. Let d = -71 - x. Calculate the least common multiple of 22 and d.
22
Let n be ((-6)/(-4))/((-18)/(-192)). Let s be 9*-4*(-7)/14. Let t = s - n. Calculate the smallest common multiple of t and 22.
22
Let m = 205 - 204. Suppose -4*d + 4 + 28 = 0. Calculate the least common multiple of d and m.
8
Let x = 259931/5590 + 2/2795. Find the common denominator of x and -125/1182.
1182
Suppose 7*c + 201 = 4*c. Let m = -43 - c. Calculate the least common multiple of 9 and m.
72
Suppose 8 = 2*b + 2. Suppose -v = -b*v - 2. Let g = -5/7 - v. Find the common denominator of g and -37.
7
Let r = 0 + 1. Let g(q) = -5*q - 87. Let c be g(-25). Let h = c + -29. What is the smallest common multiple of r and h?
9
Let i = -3/10660 + 629129/671580. What is the common denominator of i and -58/27?
189
Let z = -485237/54 + 8987. What is the common denominator of z and 81/2?
54
Suppose -3*z - 15 = -8*z. Suppose 3*d - 68 = 2*t - 6*t, 3*t = -z*d + 48. What is the least common multiple of 4/(-30) + ((-5072)/(-240) - 3) and t?
180
Let w = -295 + 385. What is the smallest common multiple of w and 12?
180
Let w = 58 + -23. What is the lowest common multiple of w and 5?
35
Suppose 7*c = 9*c - 5*w + 159, 156 = -2*c + 2*w. Let m = c + 89. What is the lowest common multiple of 24 and m?
24
Let h = -1151 - -1160. What is the least common multiple of h and 27?
27
Let h be 407/24*567/14. Let m = 688 - h. Calculate the common denominator of 142/12 + (-18)/(-6) + -1 and m.
48
Calculate the common denominator of 7/138 and ((-9313)/(-621) + -15)/(2/(-96)).
414
Let f = -191348/106951 + -2/5629. What is the common denominator of 61/2 and f?
38
Suppose 3750 = 43*v + 7*v. What is the smallest common multiple of 465 and v?
2325
Let f(x) = x**3 - 12*x**2 + 8*x + 58. Calculate the lowest common multiple of f(11) and 45.
225
Let d = -22718 - -613460/27. Find the common denominator of d and (1/8)/(27/(-4716)).
54
Suppose -28*t + 10253 = -555. Calculate the smallest common multiple of t and 22.
4246
Let h = 1667 - 9389. Let i = h - -108043/14. Let v = -2689/990 - 37/55. Find the common denominator of v and i.
126
Suppose 4*k - 16 + 4 = 0. Suppose 2*x - 52 = -4*f, -5*f + 49 + 5 = -k*x. What is the smallest common multiple of f and 14?
84
Let i = 1 - -1. Let w be (-20)/(-8)*(-72)/(-15). What is the smallest common multiple of 80/w*(0 - -3) and i?
20
Calculate the common denominator of 53/22 and -4 - (4 - (-271)/(-38)).
418
Suppose 39 - 59 = -t. Calculate the least common multiple of t and 88.
440
Let z be (-3)/(-1234)*(-601476)/495. Let k = z - 3/6170. Let i = 26/29 - -1741/290. Find the common denominator of k and i.
110
Suppose 4*r - 1 - 11 = 0. Suppose 2*p + 4*j = -248, 487 = -4*p - 0*j + j. Let x = p - -131. Calculate the lowest common multiple of r and x.
9
Find the common denominator of -93/80 and 2761/(-495) - (-10)/2.
720
Find the common denominator of 6/3 + 187/22 and -32/177.
354
Let x(c) = 191*c**2 + 1. Let s be x(-1). Suppose 10*d = 7*d + s. Calculate the least common multiple of 8 and d.
64
Let i(g) = 5*g**2 + 31*g + 14. Calculate the smallest common multiple of i(-6) and 11.
88
Let j be -6 + 3 + 170/(-94). Let n = j - 1395/658. Let a = 78/35 + 339/140. Calculate the common denominator of n and a.
140
Let d(x) = x + 7. Let u be d(-13). Calculate the common denominator of 26/5 and (3320/75)/(-8) - u/(-9).
5
Let n be (2 - 1) + 1 + 1. Suppose -16 = -4*t + s, 0*t + 2*s = n*t - 12. Let u = 12 + t. Calculate the lowest common multiple of u and 16.
16
Suppose k - 300 = -3*k. Let h(r) = r**3 + 7*r**2 + 7*r + 6. Let q be h(-4). Let x = k - q. Find the common denominator of 6 and x.
1
Find the common denominator of -71/12 and 0 - 0 - 3 - 4181/(-148).
12
Let m = 231442337526049/5 + -2226243878692490171/48095. Let q = m - -707546. Let h = -1086767/288570 - q. Find the common denominator of h and -123/20.
60
Let n = 24014 + -2689469/112. Find the common denominator of n and -13/112.
112
Let w(t) = -t**2 + 30. Let z(y) = 6*y**2 - 52*y + 35. What is the lowest common multiple of z(8) and w(0)?
30
Suppose 68*s - 4*n - 112 = 64*s, -5*s = 2*n - 112. Suppose -q - 115 = -4*i, 0*i + q = -4*i + 109. What is the lowest common multiple of i and s?
168
Let o be 8/(-14) - -1996*2/28. Let l = o + -106. Calculate the least common multiple of 44 and l.
396
Let c = -60 - -65. Suppose -65 = -5*w - c*u, w - u - 4 = 3. What is the smallest common multiple of w and 22?
110
Let l = -1600855538323/230651160 - -161/1922093. Let m = l + 20831/3. Find the common denominator of 7/10 and m.
40
Let f be (-6)/(-10) + (-34)/(-10). Let z(v) = -1 + v - v**2 + 3 - 5 + 4*v. Calculate the least common multiple of z(f) and 9.
9
Suppose g = 5, -27 = -2*x - 3*g - 0*g. Calculate the lowest common multiple of 2 and x.
6
Let o be 77*(-1 + (-9)/(-7)). Let u = o + -6. Calculate the lowest common multiple of 34 and u.
272
Calculate the common denominator of 29/3 and 95/8 + (-3)/6.
24
Suppose 19*v = 279 