?
70
Suppose -30*k + 7*k = -2484. What is the smallest common multiple of 60 and k?
540
Let y = -893 - -606. Calculate the common denominator of -95/2 and (2/10)/(7/y).
10
Let u(j) = j**2 + 11*j - 8. Suppose -s = 2*g - 12, 7*g - 3*g - 20 = -s. Calculate the smallest common multiple of u(s) and 4.
52
Suppose 5*n - 2*n + 39 = 0. Let t = 11 + n. Find the common denominator of t/(-6)*855/10 and 39/34.
34
What is the common denominator of -61/21 and (826/504)/((-7)/4)?
63
Let y = 143 + -79. Suppose -y = 2*o - 6*o. Find the common denominator of (-10)/(-10) + (-15)/o and 91/20.
80
Suppose -15 + 35 = -4*y. Let z be y/10*(1 + -3). Calculate the lowest common multiple of 11 + -1 - (z + 2) and 3.
21
Let c = 8107 - 97231/12. Suppose -4*r + 146 = 3*z + 441, 0 = 4*r + z + 293. Calculate the common denominator of (r/(-8))/(45/20) and c.
36
Let o = -2127 + 2199. What is the least common multiple of o and 128?
1152
Let v = 140/601 + -94541/42070. What is the common denominator of v and 87/28?
140
Suppose -3*q - 2*j = -2*q - 1, -4*q - 2 = 2*j. Let y = q - -16. What is the smallest common multiple of 11 and (-1)/(y/(-9))*10?
66
Let t = -112 - -116. Suppose -s + t*f = -1, -5*s - 2*f = f - 28. What is the smallest common multiple of 16 and s?
80
Let r be (-2)/(-4) - (-21)/6. Let z be 1*r/(-4) + 5. Let d(p) = p**2 - 3*p + 3. Calculate the lowest common multiple of 1 and d(z).
7
Let m(o) = -2*o - 9. Let f be m(-6). Suppose -5*d - 153 = -4*h, d - 3*d + f*h = 57. Calculate the common denominator of 53/20 and d/(-10) + 9/3.
20
Let q = -1054459/6 - -170809. Let c = q - -4909. Calculate the common denominator of c and ((-51)/(-136))/(9/114).
12
Suppose -2*i = -6*i + 32. Let h(w) = -3*w - w**3 + 11*w**2 - 4 - 3*w**2 - 6. What is the lowest common multiple of h(7) and i?
72
Let r(k) = -1311*k - 2. Let c be r(3). Let p = 27486/7 + c. Find the common denominator of 59/8 and p.
56
Let p(t) = -t**3 + 13*t**2 - t + 16. Suppose 26 = 4*v - 2*v. Let k be p(v). What is the smallest common multiple of (-2)/k*-2*6 and 7?
56
Let c = 41335/1938 + 3/646. Find the common denominator of 6/11 and c.
33
Let m(i) = 13*i**3 + 2*i**2 - i. Let q be m(1). Find the common denominator of 55/12 and (-2 - 81/(-4))/(13 - q).
12
Let w(q) = -q**2 - 35*q - 41. Calculate the least common multiple of w(-10) and 209.
209
Calculate the common denominator of (-47)/2 - (-24 + 31) and -44/7.
14
Let d be 1/(8/(-6) - -1). Let b(z) = z**2 - 4*z - 1. Suppose -n - 34 = -l - 3*n, -5*l + 3*n + 92 = 0. What is the smallest common multiple of b(d) and l?
220
Suppose 6*j + 39 = 7*j. Suppose -3*q + a - 3*a = -j, q + a = 14. Calculate the least common multiple of q and 10.
110
Suppose -5*g = q - 455 + 8, 4*q + 102 = g. Calculate the least common multiple of 9 and g.
90
Suppose -5*o + 2*w = -2 - 5, -3*o - 5*w = 2. Find the common denominator of 25/7 and o/(4 + 1336/(-316)).
126
Suppose 0 = 2*s + 3*f - 16, -s - 3*f + 3 = -11. Suppose -6*y = -s*y - 24. What is the least common multiple of y and 2?
6
Let p = 3477/22 + -1750/11. What is the common denominator of p and (-6)/18 + (-789)/144?
176
Let u = -1810919/50 - -36217. Calculate the common denominator of u and -77/130.
650
Suppose 12*r - 7*r - 20 = 0. Let p(a) = 2*a - 4. Calculate the lowest common multiple of p(r) and 16.
16
Suppose -2*v - 3*v = -160. Suppose 4*n - v = -4*o, 0 = 3*o + o. Calculate the common denominator of -65/4 and 106/n*(-2)/2.
4
Suppose -j + 6*j - 3 = 3*v, -3*j = -v - 1. Let s(z) = -z**2 + 6. Calculate the smallest common multiple of 26 and s(j).
78
Let n = 140 + -1437/10. Let o = -46837/20 - -2338. What is the common denominator of o and n?
20
Find the common denominator of (-4)/28*110/60 and 115/168.
168
Let b(i) = -8 + 4*i**2 - 56*i - 3*i**2 + 21 + 63*i. What is the lowest common multiple of b(-2) and 3?
3
Let o = 6442511/80 + -80530. Find the common denominator of 123/340 and o.
1360
Calculate the smallest common multiple of 132 and (-10)/20*6 - (-1 + -46).
132
What is the smallest common multiple of 34 and ((-2)/3)/(49/(-1029))?
238
Let r = 5652/635 - 1/1270. Find the common denominator of r and -25/3.
30
Let r = -199 - -198. Let n = 1 + 1. Calculate the smallest common multiple of 11 and (-5 - n/r)*-1.
33
Let d = 188/83 - 30370/11869. Calculate the common denominator of d and 2/99.
1287
Suppose 2*l - 3*k = 37 - 10, -5*l = 3*k - 99. Suppose -2*b + 2*t = -24, -t + 6 = -3*t. Calculate the lowest common multiple of b and l.
18
Let z = 7783/1145 + 3/1145. Calculate the common denominator of z and -47/9.
45
Let z = -478 - -574. Calculate the lowest common multiple of 30 and z.
480
Let b be 831/6*(-1 - 1). What is the common denominator of 89/6 and b/24 + (-4)/12?
24
Let l = 70 + -50. Let x = 60 - l. Calculate the common denominator of 28/15 and x/50*(-15)/2.
15
Let z = 1448219/42 + -34483. What is the common denominator of z and -26/7?
42
Let x = -8800/7 - -1262. What is the common denominator of 30/37 and x?
259
Let j(r) = -2*r - 19. Calculate the least common multiple of 2 and j(-20).
42
Suppose 0 = 2*r - 3*d - 309, -3*d + 5*d = -3*r + 496. Calculate the lowest common multiple of r and 7.
1134
Suppose 3*h + 60 = 330. Calculate the lowest common multiple of h and 80.
720
Suppose -3*p - 19 - 23 = 0. Let x = -74 - -57. Calculate the common denominator of -3/20 and x/p - (-6)/6.
140
Find the common denominator of (39*30/(-36))/4 and -63/20.
40
Let p = -576053493984 - -87110809360615907/151220. Let k = p - 3/7561. Calculate the common denominator of k and 1/2 + (-25)/7.
140
Calculate the common denominator of -49/6 and (-161 - -24)*(2 + (-26)/12).
6
Find the common denominator of (-3)/(-2) + (-149)/30 and 9 + (-492)/90 + (-15)/3.
15
Let f be (-20)/8*12/(-15). What is the common denominator of 63/46 and (-9)/150*f*(-615)/(-12)?
460
Let j = 24 - 13. Suppose -3*n = b - j - 3, -4 = b - 3*n. Suppose b*k - 10 = -z, -4*k + 8*k = -2*z + 14. What is the lowest common multiple of 2 and z?
10
Let f(t) = -t**2 + 11. Let r be f(0). Suppose -2*u - r = -63. Calculate the common denominator of 19/4 and ((-10)/12 - -1)*u.
12
Let w(h) = h**2 + 8*h + 25. Let j be w(-6). Suppose -7*b = 6 - j. Calculate the lowest common multiple of b and 4.
4
Suppose 0 = 11*f - 28 - 16. Calculate the common denominator of 5/2 and (-6)/4*f/(-24).
4
Find the common denominator of (-2)/(-10) - (2 - -5) and ((-3444)/24272)/(3/16).
185
Let n = 1982 + -12017/6. What is the common denominator of 2/(-10) - -2 - -2 and n?
30
Let s be 168978/(-33)*(-1)/2. Let o = s - 2557. Calculate the common denominator of -43/20 and o.
220
Let t be ((-34)/(-5))/(56/(-2320165)). Let r = 1157865/4 + t. Let a = r + -7738. Calculate the common denominator of -143/24 and a.
168
Let w = 1140 - 82081/72. Find the common denominator of -43/128 and w.
1152
What is the lowest common multiple of (9/6)/3 + 174/12 and 12*(3/2)/3?
30
Let u(d) = -d**3 + 43*d**2 - 36*d - 193. Calculate the smallest common multiple of 28 and u(42).
1652
Let y(f) = 16*f - 20. Calculate the smallest common multiple of 70 and y(3).
140
Let b be 214/6 + (-4)/(4 + -12). Let v = b + -36. Find the common denominator of ((-22)/36)/(3/117) and v.
6
Find the common denominator of ((-4)/10)/(8/(-122)) and 9/3*((-375)/(-10))/15.
10
Suppose a + 8*a - 432 = 0. Calculate the lowest common multiple of 4 and a.
48
Let p be ((-8)/6)/((-20)/(-30)) + 3. Find the common denominator of 43 and (-6)/(-24) - p/20*253.
5
Let b = -193/5 - -2783/80. Find the common denominator of b and (33/18 + 3)*-1.
48
Suppose 3*u + c = 32, 0 = 2*u + 5*c + 5 - 48. What is the least common multiple of 0/1 + 0 + 1 and u?
9
Suppose 3837 = 19*y + 189. What is the smallest common multiple of 12 and y?
192
Suppose -75*a + 3393 = -46*a. Calculate the smallest common multiple of 15 and a.
585
Let b(r) = r + 88. Calculate the lowest common multiple of 162 and b(20).
324
Calculate the lowest common multiple of 8 and ((-18)/27)/((-5)/255).
136
Let l(u) = 56*u**2 + 7*u + 2. Let j be l(-3). Let a be 2/5 + 86/10. What is the smallest common multiple of 4 and j/45 + 2/a?
44
Let t be 28/(-126) + 1250901344/5629056210. Let j = -121475032873/21703138943 + t. Let q = j - 1/347. What is the common denominator of -43/9 and q?
45
Let j = 0 - -2. Suppose 0 = -j*t - 3*f + 3, f = 3*t - 40 + 8. Let p = 1106 + 