-32 + 42. Suppose -a = -2*j + 26. Suppose -5*v + 19 = -4*z + 2, -2*v = -4*z - 2. Calculate the least common multiple of z and j.
18
Let b = -148775 - -68436461/460. Find the common denominator of b and 151/276.
1380
Suppose 0 = -145*u + 143*u + 52. Suppose -u*n - 405 = -41*n. What is the lowest common multiple of 21 and n?
189
Suppose -i + 4*i = 4*k + 1510 - 1446, 14 = -2*k. Calculate the smallest common multiple of i and -9*-4*2/6.
12
Let q be (-1027 - 0)*(-141)/3. Let k be 3 - (q/(-25410) + (-2)/(-1)). Let r = 1/2541 + k. What is the common denominator of r and -85/8?
40
Let x = -5480 - -5560. Calculate the smallest common multiple of x and 168.
1680
Let h be 8/(-36) + ((-10676918)/339120)/17. Let p = h - -1/6280. Find the common denominator of p and -49/24.
216
Let b(j) = -2*j**3 - j**2 - 3*j - 1. Let d(l) = 11*l**3 - 50*l**2 + 17*l - 58. Let i(q) = -5*b(q) - d(q). Calculate the common denominator of i(55) and -47/68.
68
Suppose 5*x = 48 - 18. Suppose 15 = -3*s + x*s. Suppose 0 = -j + 2*b - 4 + 2, s*b - 6 = 2*j. Calculate the least common multiple of 3 and j.
6
Let b(d) = -29*d + 62*d + 28 - 28*d. Let w be b(-8). Calculate the lowest common multiple of 10/((-3 - 1)/w) and 15.
30
Let q = 40/2103 + -276868/10575987. Find the common denominator of q and 34/749.
35203
Let r(d) = d**3 - 12*d**2 + 15*d + 70. Let z be r(13). Let j = 436 - z. What is the lowest common multiple of j and 5?
10
Calculate the common denominator of ((-4)/154)/(24/2058) and (-29)/(1/((-3)/36)).
132
What is the lowest common multiple of 15 and 6 + 3 + (-2040)/(-5)?
2085
Let i(m) = -m**2 - 10*m + 4. Let j be i(10). Calculate the common denominator of 4/3 and ((-51)/27)/(j/48 - -4).
3
Let k be ((-9)/70344*4)/((-2)/(-88)). Let x = k + -53273/20517. What is the common denominator of x and (-3)/(-6) + 43/(-3)?
42
What is the common denominator of (6/4)/(2*621/1219) and -31/45?
180
Let q = -85911859/3073 + 27957. Let v be -3*(-3)/18 - 285861/(-110628). Let j = v - q. Calculate the common denominator of j and 49/6.
12
Let y(i) = i**2 + 169*i + 94. Calculate the lowest common multiple of 2 and y(32).
6526
Let a = -1939328256477/5464 + 354928309. Let u = -3/2732 - a. Calculate the common denominator of u and -56/5.
40
Find the common denominator of -123/266 and ((-15)/(-152))/(14/(336/(-102))).
4522
Let l be 9/2 + (-36)/24. Calculate the common denominator of -113/28 and ((-11)/l - -3) + 1037/(-1224).
504
Let b = 127392 + -16560847/130. What is the common denominator of b and (-262)/312 - (2706/(-88) - -31)?
390
Suppose -2*p = -27 + 3. Let o be (-6)/24 - (-2541)/(-12). What is the lowest common multiple of (-2)/7 - o/7 and p?
60
Let c be (0 - 4) + 2 + -5. Suppose -4*z + 3*y = 5, y - 8 = 4*z - 3*y. Calculate the least common multiple of z and (32/56)/((-1)/c).
4
Let s(z) = z**3 + 1370*z**2 + 8182*z - 2. Let n be 185/25 + (-4)/10. Suppose -4*d - n = -35. What is the smallest common multiple of d and s(-6)?
70
Let t = 2356825/12 + -196510. Let c = 108 + t. Calculate the common denominator of c and -47/22.
132
Let r = -8 - -6. Let f be (-2)/((-470)/1710 + r/(-9)). Calculate the common denominator of 3/8 and (f/19)/((-24)/43).
24
What is the lowest common multiple of 8161*(-2 - 0)/(-24) + 6/(-72) and 1496?
7480
Suppose -3*x + 8*x - 25 = 0. Suppose -u = x - 13. What is the least common multiple of 38 and u?
152
Let y be (12/(-40))/((-16)/(-172280)). Let l = 3214 + y. Let k = -26735/12 - -2230. Find the common denominator of k and l.
12
What is the common denominator of -47/1660 and 0 - (((-446)/(-3))/((-2739)/(-18)) - 1)?
18260
Let z = 100 - -62. Suppose 54*k = 51*k + z. Calculate the smallest common multiple of 30 and k.
270
Suppose 0 = -78*o + 190071 + 225869 - 160100. Calculate the lowest common multiple of o and 50.
16400
Let v = 65 + -53. What is the smallest common multiple of ((-34)/(-14) + 1)/(v/42) and 18?
36
Let m(q) = -q**3 - 6*q**2 - 2*q - 8. Let a be m(-6). Let z = 345/11 + -1649/88. Calculate the common denominator of 0 - -5*4/a and z.
8
Let o = -56 + 142. Suppose -o*j = -87*j + 5. Suppose -3*b + 192 = b - 3*r, -3*r = -j*b + 240. What is the lowest common multiple of 10 and b?
240
Let z = -1131 - -1135. Suppose 0 = 5*p + 4*h - 7*h - 2371, -h + 3 = 0. What is the lowest common multiple of z and p?
476
Let a(y) = y**2 + 15*y + 28. Let g be a(-13). Find the common denominator of 73/22 and g/(-8) + -9 + 12 - -2.
44
Let z(y) = -619*y + 89140. Let m be (1/2)/(2/4). Suppose -l + 3 = -m. What is the smallest common multiple of z(144) and l?
4
Let m = 1178 - 968. What is the least common multiple of m and 150?
1050
Let w(o) = 21*o + 6. Let n be w(6). Suppose 0 = -0*d + 6*d - 216. Suppose r + 0*b = 2*b + d, -2*b - n = -4*r. Calculate the lowest common multiple of r and 6.
96
Let n = 4549067/38064 + -7302/61. Find the common denominator of n and 123/182.
4368
Let g(a) = -15*a - 3*a + 31 - 38. Let s be g(3). Find the common denominator of -75/4 and 6/(-8) + s/(-12).
12
Find the common denominator of (-35)/(-12)*((-4179)/(-1395) - 3) and -85/1209.
7254
Let b = -6677544133/4084 - -1635050. Calculate the common denominator of b and 11/10.
20420
Let j = 50 - 32. Let q = -1431 - -1434. Suppose q*h = -5*u + 196, 4*u + h - 141 = 13. What is the smallest common multiple of j and u?
342
What is the common denominator of -31/2 and ((-2)/(-39))/(4/62*(0 + -1))?
78
Suppose -5*q + 70 = -0*o - 2*o, -o = 2*q - 19. Suppose 1079*d + 473 = 1122*d. What is the lowest common multiple of d and q?
132
Let u(t) = 9*t + 9. Let v be u(-20). Let y = v - -191. Calculate the smallest common multiple of -1 + 1 - (-2 - 8) and y.
20
What is the common denominator of -7 - (38/72)/((-95)/1387) and -41/180?
180
Let t(c) = 6*c - 22. Let i be t(10). What is the common denominator of (-1)/(-6)*i/(-7) and -4/27?
189
Let m = -40 + 70. Let u(s) = 4*s**2 - 12*s + 6. Suppose 2*b = -86 + 94. Calculate the least common multiple of m and u(b).
330
Suppose 12*i - 11*i = 116. Suppose -2*f - i = -316. Find the common denominator of 85/26 and (-25)/f + 502/72.
234
Let t(u) = 2*u + 67. Let m be 6/(-4)*(-2)/1 - 72. Let g be 23/m + (-184)/6. What is the smallest common multiple of 11 and t(g)?
55
Suppose -2*u - 235 + 41 = 0. Let q = -1665 - -16571/10. What is the common denominator of q and u/(-16) + -1*2?
80
Find the common denominator of 6/(-99) + (-1)/42 and (-56)/(-175)*(10 - 0).
770
Suppose -7*w + 2*w + 15020 = 0. Suppose 0 = -6*q + 2*q + w. Calculate the common denominator of -97/8 and q/(-210) + 13/130.
168
Let x(p) = 8*p - 56. Let w be x(16). Calculate the least common multiple of 101 and ((-6)/(-5))/((w/(-30))/(-12)).
606
Let q = 2897/120 + -304/15. Let v = -4966290 - -64592358/13. Let z = -2357 + v. What is the common denominator of z and q?
104
Let o(k) = -27*k**2 - 13*k - 4. Let s be o(-15). Let v be (-2)/s*(-11 - -5). Let j = v - -129511/30891. What is the common denominator of 71/33 and j?
231
Let s = 38203989/190 - 201073. What is the common denominator of s and -39/418?
2090
Let p = 301 - 311. What is the common denominator of 22/25 and 107*6/p*(-23)/690?
50
Find the common denominator of (-1714)/(-140) - ((-7)/(-1))/49 and (-4)/16 - (-662)/120.
30
Let c = -53 + 83. What is the lowest common multiple of c and 420?
420
Let v = 4837 - 4711. What is the smallest common multiple of v and 738?
5166
Suppose -3*s + 2*m + 536 = 0, 342 + 583 = 5*s + 3*m. Let x = s + -119. What is the least common multiple of 24 and x?
504
Let n(t) = -4*t + 19. Let a be n(5). Let w be 57032/(-48) - a/(-6)*-1. What is the common denominator of 23/6 and (-1976)/w - (-6)/(-33)?
54
Let j = 376463/42 + -17923/2. What is the common denominator of ((-12)/(-297))/((-2)/57) and j?
231
Let x(t) = -98*t - 20. Let n be x(2). Let z = -196 - n. Let l = 3 - -9. What is the lowest common multiple of z and l?
60
Calculate the common denominator of 149/6 and 8352/240*2/(-4)*(-15)/6546.
6546
Suppose -10*h + 4*h = 0. Suppose -5*p + 1210 = -0*p - 5*y, p - 5*y - 242 = h. Calculate the smallest common multiple of 20 and p.
2420
Let a(z) = 11*z**3 - 2*z**2 - 5*z - 4. Let w be a(-1). Calculate the lowest common multiple of -6 - (5 - 15) - w and 1792.
1792
Suppose -6*y = -2*y + 2*z - 104, -4*z + 64 = 2*y. Find the common denominator of 1464/32*-2*(-2)/y and -47/263.
