23. Suppose -2 = 5*w - z. What is the least common multiple of a and w?
72
Let d(f) = -f - 1. Let g be d(-9). Suppose 0 = b - g. Suppose 0 = 3*t + n - b, -14 = 3*t - 5*n + 8. Calculate the smallest common multiple of t and 6.
6
Let f be ((-12)/3)/((-8)/4). Suppose -8*c + f*n = -4*c - 48, 3*n = -6. Calculate the lowest common multiple of 2 and c.
22
Suppose x + d + 6154 = -4*d, -6190 = x - 4*d. Let o = -67858/11 - x. Let l = 47329/10 - 4745. What is the common denominator of l and o?
110
Let n be 52/14 - (0 + (-2)/7). Let p be 10 + -3 - (1 + -2). Calculate the least common multiple of 7 and 3/n - (-2)/p.
7
Let a = -275807/54 - -5108. Find the common denominator of a and -91/90.
270
Let f = 6 + -3. What is the smallest common multiple of (-25)/(-40)*8 + (-2 - -3) and f?
6
Let d = -856 - -11917/14. Calculate the common denominator of 85/18 and d.
126
Calculate the smallest common multiple of (18/(-5))/(12/(-540)) and 36.
324
Suppose -47*h + 644 = 2*c - 51*h, 0 = -3*h + 12. What is the least common multiple of 3 and c?
330
Suppose 0 = 2*f + k - 7, 2*k + 1 = 2*f + k. Suppose -2*t + 84 = f*t. What is the smallest common multiple of t and 9?
63
Let t = 282 - 276. What is the lowest common multiple of 54 and t?
54
Let x = -4211/5 + 16793/20. Let i be (-9)/(-3) + (-77091)/(-66). Let r = -1167 + i. Find the common denominator of x and r.
220
Let s(m) = -m**3 + 6*m**2 + m + 4. Suppose -2*d + 40*p - 44*p = -18, 5*d - 1 = p. Calculate the lowest common multiple of d and s(6).
10
Let h = -3/53 - 1210/159. Calculate the common denominator of (432/90 - 6)/(88/15) and h.
132
Suppose -9 = q + 5*f, 5*f + 13 = 2*q + q. Find the common denominator of ((-103)/(-3))/(12/q) and -75/2.
36
Calculate the common denominator of 118/1*15/480 and -131/6.
48
Suppose -i + 4*q = -6, -2*i + 2 = -0*i - 3*q. What is the common denominator of 44/12 - (1 - 2) and (5/(-50))/(i/4)?
15
Let o = -1/4387 - -214965/8774. Find the common denominator of o and 41/(-4)*(-2)/5.
10
Let g(o) = -o**2 - 13*o - 16. Let y be g(-11). Suppose 5*m - y*m = 2866. Let d = m + 40155/14. Find the common denominator of -16/3 and d.
42
Let p = -14 + 30. Suppose -6*r = -2*r + 12, -4*r = -4*u + 92. What is the least common multiple of u and p?
80
Let r = 20 + -10. Let n(k) = 3*k**2 - 3*k + 3. Let w(l) = 7*l**2 - 5*l + 6. Let a(y) = -15*n(y) + 6*w(y). What is the smallest common multiple of r and a(4)?
30
Let q = -1/109 + 2515/872. Find the common denominator of (8 - (-5)/(30/(-123))) + 5 and q.
8
What is the least common multiple of 2/4*((-4224)/(-8) + -4) and 11?
2882
Let b(r) = -r**2 - 7*r + 101. Calculate the lowest common multiple of 123 and b(-11).
2337
Suppose -5*q - 4 = -3*u + 49, -17 = -3*u - 4*q. Suppose 2*g = -2*g - 8. Let a = u + g. What is the least common multiple of a and 4?
36
Let j = -971 + 1003. What is the smallest common multiple of j and 12?
96
Let l(t) = -3*t - 3. Let s be l(7). Let z be 4/s + 586/(-12). What is the common denominator of z/4*(-2 + 0) and 51/10?
10
Let n(j) = -j**2 + 5*j - 2. Let r be n(4). Find the common denominator of 93/2 and (3 - r) + 301/(-35).
10
Let t(w) = w + 17. Let v be t(-12). Suppose 0 = -2*r + v*r. Suppose -3*n + 2*x + 68 = r, 5*n - 87 = n - x. What is the least common multiple of n and 20?
220
Let c = -71885/12 + 5996. Suppose 2*g - 80 + 20 = 0. Find the common denominator of c and ((-365)/g)/((-4)/(-3)).
24
Let y(u) = 3*u - 4. Let f be y(-6). Let k = 16 + f. Calculate the common denominator of -39/7 and (2/k)/((-4)/78).
14
Let g = 2211 - 17713/8. What is the common denominator of g and 61/20?
40
Calculate the common denominator of 642/180 - 3/4 and 13/54.
540
Let i be (-25)/9 - 6/27. Find the common denominator of 73/15 and -2 + 3 - i*74/(-72).
60
Suppose 0 = 2*c - 0*b - b + 2, -10 = -5*b. Suppose -3*r = -c*r - 60. What is the least common multiple of (-20)/(-8)*r/25 and 12?
12
Let k be (-4)/14 - 230619/36344. Let s = -4/649 - k. Let n = 94441/26 - 3633. What is the common denominator of s and n?
104
Let o(n) = 41 + 10*n - 3*n - 43. Find the common denominator of (-512)/210 - (-6)/(-45) and o(1).
7
Let p = 11293 + -45247/4. Suppose -6*q + q - 2300 = 0. What is the common denominator of 2/(-5) + (-1234)/q and p?
92
Let u(w) = -w**3 - 25*w**2 + 55*w + 138. What is the least common multiple of u(-27) and 259?
777
Let q = 60283/1226516 - 3/4244. Let h = -11989/2890 + q. Find the common denominator of h and 19/14.
70
Let x(r) = -r**2 + 13*r + 11. Let o be x(11). Calculate the smallest common multiple of 16 and 154/o*(-12)/(-14).
16
Let z = 67705/3188 + 10/797. Calculate the common denominator of 1298/120 - 6/15 and z.
12
What is the lowest common multiple of 3 and 261/15 + 7/(-5)?
48
Suppose -5*z = 4*r - 467, -r - 4*z = -5*r + 476. Let d = -98 + r. What is the least common multiple of 4 and d?
20
Let a be (-244)/(-1216)*23568013 + 3. Let h = a + -4729117. Let g = -1/304 - h. What is the common denominator of g and 5/3?
24
Let v = -54 - -67. Suppose 0 = -f + 3*r - 2*r + v, 5*f + r = 47. Let a(h) = h**2 + h + 10. What is the lowest common multiple of f and a(0)?
10
Let h be 112/3*(-9)/(-4). Find the common denominator of (-18)/(-42) + 307/h and 51/8.
24
Let s = -3911/4 - -971. Let k = -134847/16 - -8425. Calculate the common denominator of k and s.
16
Suppose -3*j = -5*j - 10. Let p(i) = -4*i - 11. Calculate the smallest common multiple of p(j) and 6.
18
Let w be 4*9*1/2. Suppose -5*h - w = -8*h. Calculate the common denominator of (-5)/h*(-99)/44 and -103/12.
24
Let a be (-4)/3 + 88/(-24). Let s = a - 11/12. Calculate the common denominator of s and ((-4)/16)/(8/68).
24
Suppose 4*d = 3*a + 4, -5*d - a + 16 = -2*a. Calculate the lowest common multiple of d and 44.
44
Let s(q) = 0 - 8 - 9*q - 9*q**2 + 1 + 0 - q**3. What is the lowest common multiple of s(-8) and 8?
8
Let v = 134 - 35. Calculate the lowest common multiple of v and 2.
198
Calculate the common denominator of (-19)/30 + (-4)/10 and (3/(-15))/(24/260).
30
Let g be (-5)/(-4)*21406/945. Let c = g + 32/27. Calculate the common denominator of c and -41/20.
20
Suppose m = 2*m. Suppose -f + m*f = -12. What is the common denominator of 35/2 and 11/f*-7 + 0?
12
Suppose 0 = -6*u + 8*u. Suppose u = 2*w + w + 3, -46 = -3*i + 4*w. What is the smallest common multiple of i and 48?
336
What is the smallest common multiple of ((-232)/174)/(2/(-117)) and 24?
312
Let z = -43832231 - -920093359/21. Let v = 18265 + z. Find the common denominator of v and -29/30.
210
Let r = 2496 - 2468. Calculate the lowest common multiple of r and -36*(1 + -2 + 0).
252
Find the common denominator of 217/45 + (15 - (-858)/(-55)) and 23/96.
288
Suppose -4*t - 2*m - 26 = 0, -3*m = -6*t + 2*t - 21. Find the common denominator of t/((-4)/(21 - 1)) and 99/8.
8
Let w = 2 - -5. Suppose 2*z + 10 = w*z. What is the least common multiple of z and 9?
18
Let h(v) = -v**3 + 17*v**2 - 14*v - 24. Let i be (40/25*-4)/((-4)/10). What is the lowest common multiple of h(i) and 20?
40
Let k(q) = -q**3 - 21*q**2 + 19. Let b be k(-21). Suppose z - 24 = -b. What is the lowest common multiple of 9 and z?
45
Suppose 4*y - 5*k + 155 = 0, 4*y = -3*k - 0*k - 163. What is the least common multiple of 45/2*y/(-50) and 9?
18
Let w = -13185/1069 - -2/3207. Calculate the common denominator of 62/27 and w.
27
Let d = 138 + -120. Find the common denominator of (-131)/2*d/108 and -123/20.
60
Suppose 0 = 3*q - 12 - 6. Suppose -q*g - 2*g + 16 = 0. Calculate the smallest common multiple of 3 and g.
6
What is the lowest common multiple of 50 and (5 + (-4)/2)/(-3)*-30?
150
Let o(x) = -x**2 + 6*x - 3. Let v(d) be the second derivative of -d**3/3 - 5*d**2/2 + 7*d. Calculate the lowest common multiple of v(-7) and o(5).
18
Let p = -141366205/448188 + 20/37349. Let k = p - -306. What is the common denominator of k and 119/18?
36
Let h be (4 + -1)*(-2)/(-3). Suppose -3*x = 3*s - 0*s + 12, 0 = -3*x + h*s + 3. Calculate the smallest common multiple of x*((-8)/4 - 1) and 7.
21
Let i be (-6)/(3 - 0) + -24. Let f = 28 - 46. Let b = f - i. What is the lowest common multiple of b and 3?
24
Suppose -5*p + 319 = -2*q, 2*p - 118 = -0*p + 4*q. Suppose p - 17 = -2*l. Calculate the lowest common multiple of 4 and ((-12)/l)/((-1)/(-22)).
44
What is the common denominator of -119/60 and 950*4/19