tor of p and -113/36.
180
Suppose -2*d - 2*m + 27 - 11 = 0, -4*m = 0. What is the common denominator of (-47)/d + (-3)/3 + -1 and 21/16?
16
Let a be 249/27 + (-10)/45. Let n(d) = -3*d**2 - 5*d**2 + 4*d**3 - 8*d + 9 - 3*d**3. What is the smallest common multiple of 40 and n(a)?
360
Let q = 28787/9 - 3202. What is the common denominator of q and 1/(33/4) - (18 + -16)?
99
Suppose -4*a + a = 4*t - 144, -3*a + 3*t = -123. Calculate the least common multiple of a and 10.
220
Let j be (-4)/16 - (-321)/4. Suppose -5*c = -c - j. Calculate the common denominator of 67/10 and ((-89)/3)/(c/3).
20
Let d(g) = -g**2 + 5*g. Let w be d(4). Let v = 4 + w. Suppose -a - 6 = -3*c + 26, c + a - v = 0. Calculate the least common multiple of c and 3.
30
Let g(r) = -2*r + 3 + 0*r**2 + r**2 - 1. Let i(s) = -s**2 + 27*s - 80. What is the least common multiple of g(4) and i(4)?
60
Let h = -5458/73 + -2122723/438. Let j = h + 4910. Find the common denominator of j and -44/23.
138
Let z = 6297/1190 + -37/7. Find the common denominator of z and -7/60.
1020
Let z = 10 - -45. Calculate the lowest common multiple of 77 and z.
385
Let j = -142 - -220. Suppose -79*t + 16 = -78*t. What is the smallest common multiple of j and t?
624
What is the common denominator of 79/98 and 9/6*((-650)/(-66))/5?
1078
Let a = -12 + 92. What is the lowest common multiple of 50 and a?
400
Let q = 133853/119559 + 6/3623. Let t = -20452/3681 + 2/3681. Find the common denominator of t and q.
99
Suppose 7 = 2*n - 7. Suppose 2*i = 4*q - n*q - 5, -3*i = q + 11. Let g(f) = -f + 2. Calculate the lowest common multiple of 14 and g(i).
42
Let n = -1957/230 - -37/23. Let q(t) = -t**3 - t**2 - t - 120. Let a be q(0). What is the common denominator of (-3)/9 - (-362)/a and n?
20
Let z = 6167/17100 + 2/4275. What is the common denominator of 10602/(-837)*(-10)/(-32) and z?
72
Let p = -13261/4 - -3338. Let b = -5593/22 + 257. Calculate the common denominator of p and b.
44
What is the common denominator of -3*(-10)/(-729)*(-42)/(-2) and -49/8?
648
Let i = 11 - -2. Let q = 18 - i. Find the common denominator of ((-105)/12)/q*-10 and 51/2.
2
Let h = 27 + -40. Let f = h - -17. Find the common denominator of 65/6 and 1318/252 - f/14.
18
Suppose 5*t - 10 = 0, t + 0*t = -k + 6. Let j(n) = 8*n + 6. Let w be j(6). Calculate the least common multiple of ((-1)/(-3))/(2/w) and k.
36
Suppose -1 = g - 3. Let d be 147/24 - ((-3)/8)/(-3). Suppose g*w - 3*w + d = 0. Calculate the lowest common multiple of 34 and w.
102
Suppose -74 = -2*v - 44. Calculate the lowest common multiple of 6 and v.
30
Let s = -1134 - -11327/10. Let u = -5191 - -62255/12. Calculate the common denominator of u and s.
60
Let d = -638790/5959 + 10200835389/99372284. Let o = 1/1516 - d. What is the common denominator of o and 41/9?
99
Let r(m) = -2*m + 12. Let a be r(4). Suppose -a*w + 12 = 4*x, 3*x + w + 0*w = 7. What is the lowest common multiple of 7 and x?
14
Let n = 9805/1014 + -1/338. Calculate the common denominator of (-16)/((-1344)/4130)*4/(-10) and n.
3
Let c = -22033/6 + 3654. Let l = 10745 + -64327/6. Find the common denominator of c and l.
6
Let u = 879 + -3177. Let h = u - -18335/8. Find the common denominator of (-2)/8 + (-14)/32 and h.
16
Suppose 192*z - 189*z = 429. What is the lowest common multiple of 65 and z?
715
Suppose -4*w + 37 = -51. Let c be 114/w - (-2)/(-11). Suppose m - 2 = c. Calculate the lowest common multiple of 5 and m.
35
Let w be -2*6/4*1. Calculate the least common multiple of 11 and (w/4)/(2/(-16)).
66
Let u(d) = -d - 6. Let f be u(-8). Suppose -f*c + 0 = -4. Find the common denominator of -49/8 and (-717)/54 + 3 + c.
72
Let l = -1241 - -1550. What is the lowest common multiple of 18 and l?
1854
Let o = -162389/30 + 5408. What is the common denominator of o and -32/195?
390
Suppose -4472*o = -4479*o + 5824. Calculate the least common multiple of 52 and o.
832
Let k(m) = m**2 - 4*m + 12. Calculate the smallest common multiple of 36 and k(2).
72
Suppose 55 = -633*l + 638*l. Calculate the lowest common multiple of l and 198.
198
Let f(l) = -l**2 - 34*l - 116. Calculate the least common multiple of 13 and f(-30).
52
Suppose -7*l = -8*l - 4. Let u = 8537/154 + -382/7. Calculate the common denominator of u and (-2)/l + (-3)/(15/47).
110
Suppose 3*j - 45 = 2*j + 5*b, -5*j + b + 129 = 0. Suppose -j = p - 27. Calculate the lowest common multiple of p and 148.
148
Let r be 1/(-5) + (-32)/(-10) + 3. What is the smallest common multiple of 552/16*4/r and 4?
92
Let j(t) = t**2 - 14*t - 7. Suppose -5*h + 67 = 3*w - 108, 4*w - 243 = 3*h. Suppose d + 3*d = w. What is the least common multiple of j(d) and 10?
40
Suppose z = 45 - 24. Calculate the smallest common multiple of z and 42.
42
Let d(n) = -5*n**2 - 23*n + 6. What is the least common multiple of 84 and d(-3)?
420
Let a = -8815/4 - -1648561/748. Let y = a + 19027/1122. Let j = 7671 - 46153/6. What is the common denominator of y and j?
6
Calculate the common denominator of (-5 - (-3963)/792)/((-2)/(-356)) and -101/72.
792
Suppose -2*y + 6 - 2 = 0. What is the common denominator of y*-1 + 190/(-60) and -47/10?
30
Let q(a) = a**3 - 7*a**2 + 3*a - 8. Let m be q(7). Let f = m + -6. What is the least common multiple of f and 11?
77
Let h(g) = -g**2 + 2*g + 8. Let k = 7 - 3. Suppose -5 = -k*d + 3. What is the smallest common multiple of h(0) and d?
8
Let r = 5424 - 32682. Let g be -4 + 599549/(-22) - -3. Let d = r - g. Calculate the common denominator of -61/6 and d.
66
Let j(t) = t**3 + 5*t**2 + 3*t + 3. What is the lowest common multiple of (-10)/(-25)*7/((-63)/(-990)) and j(-3)?
132
Suppose 93 = 95*r - 92*r. Let g be (-1)/(-3) + 148/(-12). Find the common denominator of r and 11/(-6) + 3/g.
12
Suppose 3*g + 71 = -j, -5*j - 4 - 6 = 0. Calculate the common denominator of 11/((-440)/36)*-7 and (g/(-8))/(9/(-12)).
30
Let k = -20 + 20. Suppose 7*t - 4*t - 3*d - 48 = k, 4*t + 5*d - 28 = 0. Find the common denominator of t and -34/9.
9
Suppose -3*u - 6 = -42. Let m = 2 + u. What is the smallest common multiple of (-198)/(-14) + (-2)/m and 14?
14
Let u(k) = -26*k**2 - 2*k - 3. Let f be u(-3). Calculate the common denominator of (1/(7/15))/(66/f) and -23/16.
16
Suppose -851*a + 144 = -839*a. Calculate the lowest common multiple of a and 1238.
7428
Let o = 5 + -17. What is the common denominator of ((-4)/16)/(o/784) and 13/6?
6
Let v be 6/(-9)*27/(-6)*1. Suppose 0 = -3*k - 12, 0 = 9*c - 12*c + v*k + 18. What is the lowest common multiple of 14 and c?
14
Let h = 338554 - 33517471/99. Let f = 122/11 + h. Calculate the common denominator of f and (-4)/12*99/6.
18
Let s(x) = -x - 8. Calculate the smallest common multiple of 7 and s(-10).
14
Suppose 23*o - 387 = -180. What is the smallest common multiple of 750 and o?
2250
Let b = -372 - -713/2. Let s = -7883/5 - -284383/180. Find the common denominator of s and b.
36
Let d be -2 + 4*(-1)/(-4). Let x be (-338)/12 + d/(-6). Let i = x + 34. What is the smallest common multiple of 1 and i?
6
Suppose 5*x - 3*i - 2*i - 285 = 0, 5*x + 3*i = 245. What is the smallest common multiple of 4 and x?
52
Let h(u) = 2*u + 6. Suppose -4*n + 74 = 6*g - 8*g, 3*g + 54 = 3*n. What is the common denominator of h(-10) and n?
1
Suppose 2*g - 98*g = -119 - 73. Let b(a) = -25*a**3 - a**2 + a + 1. Calculate the smallest common multiple of b(-1) and g.
24
Suppose 3*j + 5*t = 43, 2*j + t = 29 - 12. What is the smallest common multiple of j and 185?
1110
Suppose 4*d - 2*l - 332 = l, -3*d + 220 = 5*l. What is the smallest common multiple of d and 10?
80
Let f = -11830/5501 + -907309/5996090. Let u = 22/109 + f. What is the common denominator of -67/74 and u?
370
Let l = -301/2 - -105. Calculate the common denominator of l and 95/194.
194
Suppose 2*c = 14*c - 120. Calculate the least common multiple of 135 and c.
270
Let d = 4 - -8. Suppose -1 = z - 2*f - 5, -4*f = -12. Suppose 3*q = -q + 5*c + 20, 3*q - z = 5*c. What is the lowest common multiple of q and d?
60
Suppose 0 = 404*m - 5954 - 10206. What is the smallest common multiple of m and 8 + 0 + 4/2?
40
Suppose -130 = 4*h + 34. Let z = -23 - h. Calculate the least common multiple of 27 and z.
54
Let r(p) be the first derivative of p**4/4 - 3*p**3 - 4*p**2 - 14*p - 14. Calculate the least common multiple of 8 and r(10).
