and c(1).
6
Suppose -5*u = -4*c + 106, 2*c = 6*u - 2*u + 56. Calculate the least common multiple of 837 and c.
6696
Suppose 0 = -p + 3*f + 2 + 8, 3*f = -9. What is the common denominator of -131/6 and 159/18 + (p/2 - 1)?
6
Let t = -25 + 41. Let u be (49 - 46)/(2/(-10)). What is the least common multiple of 171/(-6)*(-1)/(u/(-40)) and t?
304
Let y = -6308069/112 + 56321. Calculate the common denominator of y and (-80)/768*39 + 1*-1.
112
Let j(w) = -w**3 + 6*w**2 - 13*w + 24. Suppose 6*n - 246 = 690. What is the least common multiple of n and j(3)?
156
Let n(c) = -51*c - 18. Let j be n(-10). Let d(o) = 3*o**2 + 7*o - 8. Let v be d(3). Find the common denominator of -37/48 and (1/6)/(v/j).
240
Let r(s) = 249*s - 1611. Calculate the smallest common multiple of r(8) and 127.
381
Let u = 166027/2213085 - -151/3011. Calculate the common denominator of -106/105 and u.
735
Let n(x) = 14*x**2 - 6. Let w be n(-2). Calculate the smallest common multiple of 10 and 13 - 10/4*(-40)/w.
30
Calculate the least common multiple of 20 and ((-165)/20)/((-3)/1848*3).
16940
Let d = -2129 + 2145. What is the least common multiple of d and 258?
2064
What is the common denominator of 64/117 and ((-312)/30 + 10)*(-5)/(-7)?
819
Let g be ((-2)/(-6))/(1/(-12)). Calculate the common denominator of (-3)/g + 5/(200/(-12)) and -43/142.
1420
Let g = 117319/390 + -3918/13. What is the common denominator of 51/4340 and g?
13020
Let x(u) = 45*u**3 - 2*u**2 - 35*u + 75. Calculate the lowest common multiple of x(2) and 102.
714
Let b(d) = 2*d**3 - 3*d**2 - 19*d + 38. Let f(r) = -r**2 + 3*r + 10. Let a be f(4). Calculate the lowest common multiple of 20 and b(a).
1240
Let n be (9/(-15))/((-1)/10). Let u = n + -3. Suppose -3*y - y + 52 = 0. Calculate the lowest common multiple of y and u.
39
Let j(k) = k**3 + 4*k**2 - 6*k - 5. Let d be j(-5). Suppose d = -z + 38 + 4. What is the least common multiple of z and 14?
42
Suppose 1012 = 53*b - 15*b + 54*b. Let p(k) = k**2 - 4*k + 8. What is the least common multiple of p(-8) and b?
1144
Suppose 30*z - 33*z + 21 = 0. Let f(j) = j**3 - 8*j**2 + 12*j - 9. Let m be f(z). What is the common denominator of 21/(-132)*(m*3)/(-3) and 43/34?
374
What is the least common multiple of 26 and 56/(-6)*(-4392)/976?
546
Suppose 278*o - 279*o = 0. Calculate the common denominator of 67/8 and (-4 - o) + 35/(-8).
8
Let s(x) = 6 + x**3 - 15*x**2 + 0 - 34*x + 42*x + 5*x**2. Let f be s(9). Let r = f + 21. What is the lowest common multiple of r and 66?
198
Let l(h) = -4*h**2 + 106*h - 651. What is the lowest common multiple of l(13) and 408?
408
Let u(h) = 6*h - 26 + 43 - h**2 - 24. Calculate the smallest common multiple of u(3) and 8.
8
Suppose -r = 13 - 7. Suppose 22 = 4*g + 5*y - 8, -5*g + 44 = 3*y. What is the lowest common multiple of g and (r + (6 - -4))/1?
20
Let o = -33 + 37. Let f be 6/(o/50*1). Suppose 3*l = 8*l - f. What is the least common multiple of 4 and l?
60
Let c(g) = g**2 - 20*g + 3. What is the smallest common multiple of c(32) and (16/(-20)*-5)/1?
1548
Let g(x) be the first derivative of 2*x**3 - 43*x**2/2 + 11*x - 319. Suppose c - 48 = -2*c. What is the least common multiple of c and g(7)?
16
Let z = -121 - -127. Let m be 2/((-4)/z) + 3307900/96. Let d = -34449 + m. What is the common denominator of -1/8 and d?
24
Let f = -96232/5 - -19564. Let k = f - 320. Calculate the common denominator of k and -2/11.
55
Let c(y) = -y**3 + 126*y**2 - 2501*y + 75. What is the lowest common multiple of c(101) and 1428?
9996
Suppose -l = 9*j - 8*j - 405, 2*l - 798 = -5*j. Suppose -42*q + 2509 = l. What is the lowest common multiple of q and 90?
450
Let j(t) = t - 17. Let n be j(-7). Let m be (-12)/(-8) + 94/n. Let o = m + -71/12. Calculate the common denominator of o and -12/61.
183
Let y = 4043 + -32403/8. Let z = -10/433 + 30400/3897. Calculate the common denominator of z and y.
72
Let p = 4 - 4. Suppose -4*u - 3*y - 8 = p, 10 + 7 = u - 4*y. Calculate the common denominator of 17/14 and (-84)/216 + 3*u.
126
Let i = -272 - -291. Suppose -20 = -i*n + 16*n - y, -n = 3*y + 4. Let j(h) = h**2 + 4*h + 1. What is the smallest common multiple of n and j(-7)?
88
Let y(g) = 20*g + 1464. What is the least common multiple of 35 and y(-6)?
6720
Let t(m) = -7*m**2 - 107*m + 36. What is the smallest common multiple of 2268 and t(-9)?
9072
Calculate the common denominator of 20/70 - ((-2906577)/(-8193150) + 4/(-50)) and -7/306.
5202
Let r be (2 + 18)*7/((-70)/188). Let o = r + 386. Suppose 0 = -3*q - 2*q + h + 45, 2*q = 5*h + 18. Calculate the lowest common multiple of o and q.
90
Suppose -3*s + 36 + 111 = 0. Suppose 6*k - s = -k. What is the common denominator of 2/k - 5/(-105) and 43/4?
12
What is the common denominator of -13/18 and (-5135)/9030 - (-108)/378?
774
Let y = -24990/23 - -7348739/6762. Find the common denominator of -8/105 and y.
1470
Let v = -13314 - -532473/40. Calculate the common denominator of 29/104 and v.
520
Let j = -17 - -25. Let w(l) be the second derivative of -5*l**3/2 + l**2/2 + 3*l. Calculate the smallest common multiple of j and w(-1).
16
Find the common denominator of 28*(-49)/(-12)*(-80)/(-3360) and -71/5000.
45000
Let x be -2 + ((-91)/3 - (-15)/45). Let a be -551*((-2)/x)/((-50)/5560). Let c = a + -3832. What is the common denominator of 95/4 and c?
20
Let p be (-50)/(12/(0 + -6)). Suppose p*m - 2 - 148 = 0. What is the smallest common multiple of m and 12?
12
Let l = 420033/20 + -21007. Let t be (-3 + 0 + 2)/(2/1224). Find the common denominator of l and ((-187)/t)/((-2)/(-66)).
60
Let z = 4418 - 3872. What is the least common multiple of 210 and z?
2730
Let u = -15475 - -17704. What is the least common multiple of 81 and u?
60183
Suppose 5*o - 4*g = -136, -4*o - g = 108 - 16. Find the common denominator of 15/8 and (54/80)/(5/((-550)/o)).
32
Let y be (-17)/((-595)/(-126))*47338/16. Let f = 10654 + y. What is the common denominator of f and (2/(-8))/((-2)/(-150))?
20
Let u = 153152/735 + -3128/15. What is the common denominator of 17/27 and u?
1323
Suppose 3*l + 193 + 131 = 0. Find the common denominator of ((l/(-42))/(-6))/((-6)/92) and (-62)/120 - (-3)/(-4).
105
What is the least common multiple of 168 and 28/(-300)*-545 + (-4)/(-30)?
2856
Let x(h) = -3*h + 20 + 37 - 5 + 3 + h. Let f(k) = k**3 + k**2 + k + 2. Calculate the lowest common multiple of x(22) and f(0).
22
Let i = 50339/25 + -2016. Find the common denominator of 67/175 and i.
175
Let g(v) = -54*v - 58. Let u be g(-1). Calculate the least common multiple of ((-684)/285)/(u/330) and 144.
1584
Let o be 0/(0 - (4 - 5)). Suppose 15*k - 102 - 198 = o. What is the lowest common multiple of k and 32?
160
What is the lowest common multiple of 528 and (-32)/1*1958/(-356)?
528
What is the lowest common multiple of 9 and (-512)/(-640) + (-9888)/(-15)?
1980
Let d be (4/3)/((-40)/180). Let c(b) = -b**3 - 5*b**2 + 6*b + 4. Let a be c(d). Find the common denominator of (51/(-4))/(a + 115/(-40)) and -73/4.
12
Let u = -4256 + 238363/56. What is the common denominator of -73/34 and u?
952
Let a(l) = -2*l**3 + 18*l**2 + 8*l + 36. Calculate the lowest common multiple of a(7) and 72.
288
Suppose 4*t = 3*w - 15, -3 = -4*t - 2*w + 7. Suppose -70*a - 18 = -79*a. Calculate the lowest common multiple of 43 + 2/(-6)*t and a.
86
Calculate the smallest common multiple of 460 and ((180/(-35))/1)/(9/60)*-7.
5520
Let f be (-686)/(-21) + ((-21)/(-9) - 3). Suppose 0 = 26*k - f*k + 1128. What is the smallest common multiple of 2 and k?
188
Let l = 74491/5 - 29801/2. What is the common denominator of 482/609 + (-4)/14 and l?
870
Let j = -283 - -296. Suppose -48*f + 52*f = -5*b + 5, -4*f + b = -23. What is the lowest common multiple of j and f?
65
Let s(u) = u**2 + 8*u - 14. Let x be s(-10). Suppose 4*y - x = 4*p + 14, 2*y + p = 7. Let o = 13 + -2. Calculate the least common multiple of y and o.
44
Suppose -2*b + c - 2*c = -228, 4*b - 5*c = 470. Suppose y + y = -4*x + 48, 5*y + 5*x = b. Calculate the smallest common multiple of y and -2 + 2 + (-18)/(-3).
66
Let t = -19913 - -19932. Calculate the least common multiple of 27 and t.
513
Let q = 3169/3920 + 1/245. Let v = -2/94919 - -127096549/379676. Let y = v - 341. Calculate the common denominator of q and y.
16
Suppose o - 94 = -4*w - o, 4*o - 34 = -w. Let q