83 = 12*m. What is the smallest common multiple of m and 42?
336
Let q(c) = -c**2 - 83*c - 1416. What is the smallest common multiple of 50 and q(-44)?
300
Let h(d) = d**2 + 29*d + 62. Let m be h(-27). What is the common denominator of 83/12 and (-2815)/560 + m*3/6?
336
Let z(p) = 3*p - 32. Let r be z(0). Let k(s) = -s**3 - s**2 + 6. What is the least common multiple of k(0) and (r/(-3))/((-18)/(-27))?
48
What is the common denominator of 5/4*4 - 1906/408 and 35/108?
1836
Suppose 8*z - 5*z + 2*c = 3626, 0 = -5*z - 2*c + 6050. Calculate the smallest common multiple of 24 and z.
2424
Suppose 720 = -101*n + 106*n. What is the least common multiple of n and 18?
144
Let d = 9257165/1400238 + -2/77791. Find the common denominator of d and 1 - (0 + (-16)/6).
18
Let o = 87 - 78. Let p be ((-18)/8)/o + 33/(-12). Let n(x) = -2*x**3 - 4*x**2 - 2*x. Calculate the lowest common multiple of n(p) and 36.
72
Let w = -226 - -225. What is the least common multiple of (6 - (w + 12)) + (3 - -3) and 378?
378
Let t = 10143 - 1480883/146. Let z = -6595/16 + 412. What is the common denominator of z and t?
1168
Let d(r) = 3*r - 3. Suppose 7*y - 507 = -458. Suppose -12*f + 110 = -y*f. Calculate the lowest common multiple of d(5) and f.
132
Suppose 19 = 2*s + 1. What is the common denominator of (-3)/s - (308/(-600) - 1) and -57/55?
550
Let f(z) = -2*z**3 + 19*z**2 - 8*z + 13. Suppose 10*g - 22 = 68. Calculate the least common multiple of f(g) and 110.
110
Let p = -590 + 688. What is the least common multiple of 4 and p?
196
Let o be (-2)/(-6) + (-1380)/(-18). Let y = -55 + o. Let u = -72 - -90. What is the smallest common multiple of u and y?
198
Let l = -238789 - -1912893/8. Let s = 53681/168 - l. Calculate the common denominator of s and ((-99)/(-42))/((-2)/(-7)).
84
What is the common denominator of 109/168 and -12*(((-2040)/162)/(-10) - 1)?
504
What is the common denominator of (2912/6)/(-4)*(-5)/360 and ((-6)/66)/(6/(-4))*45?
594
Suppose -i = -2*a + 131, -518 = -5*a - 5*i - 168. Let z = -55 + a. Calculate the common denominator of -113/28 and 1 - (z/6 + 39/(-2)).
28
Find the common denominator of 84260/63778 + -1 - 8/26 and -43/130.
28990
Let i = 11492967/446 + -25769. What is the common denominator of i and -16/2453?
4906
Let w be 72/((-12)/(-32) - 105/408). Find the common denominator of ((-6)/w)/((-6)/260) and -4/45.
765
Let c be (-2)/(-5)*100/40. Find the common denominator of c + (7/(-42) - 79/6) and -67/69.
69
Let q be 66/(-15)*(-1 + 2)*-30. Let u = q - 43. Let n = 99 - u. Calculate the smallest common multiple of n and 10.
10
Let p(c) = 5*c**3 + 21*c**2 - 19*c - 44. Let z(v) = 2*v**3 + 10*v**2 - 10*v - 22. Let d(t) = 3*p(t) - 7*z(t). What is the lowest common multiple of 8 and d(5)?
296
What is the common denominator of ((-62)/(-105))/((-51093)/(-4055)) and 74/2079?
14553
Let h = 263/11088 + -2/693. Let r = 97867/27 - 3624. What is the common denominator of h and r?
432
Suppose 61*b = 30*b + 155. What is the lowest common multiple of b and 285?
285
Let t be 0 + (10 - (-2 + 8)). Suppose 6*z - 2*z - 134 = -m, -5*m - t*z + 750 = 0. Calculate the lowest common multiple of m and 11.
154
Let k = -4413487/85515048 - 1/159543. Find the common denominator of k and 133/60.
8040
Suppose -422 = 49*f + 460. Find the common denominator of 154*1/16 - f/(-24) and (-91)/4 + (0 - 0).
8
Let n(i) = -86*i + 282. Calculate the least common multiple of ((-39)/(-26))/(1/80) and n(3).
120
Let w = 1843 + -1823. Calculate the least common multiple of w and 8.
40
Let u = 45/3439 - -376045/1485648. Find the common denominator of -43/2 and u.
432
What is the common denominator of (51/(-162))/(-17) - (44/10 - 4) and 37/1944?
9720
Suppose -k + 5288 = -5*d, -19*k - 15846 = -22*k - 3*d. Calculate the least common multiple of k and 5870.
52830
Let b = -6 - 4. Let k be (3 + -12)/(3/15). Calculate the smallest common multiple of (4 - k/b)*-6 and 6.
6
Let i = 2593 - 2026. What is the smallest common multiple of 45 and i?
2835
Let x = 323555/352203 - 155/167. What is the common denominator of 55/78 and x?
54834
Let q = -469934499/1112 - -422603. Calculate the common denominator of q and -67/1946.
7784
Let o = 91 - 134. Let g = 75 + o. Calculate the lowest common multiple of 44 and g.
352
Let k be 7/(-4) + 1 - (-8246810)/(-584). Let p = k + 226041/16. Let z = 2/899 - -15263/8990. Find the common denominator of p and z.
80
Let x(g) = 10*g**2 - 109*g + 43. What is the lowest common multiple of 18 and x(13)?
2844
Suppose -586*k + 454313 = -497937. What is the least common multiple of k and 78?
9750
What is the common denominator of 74/(81154024/344871) - (-1 + 9/7) and -107/20?
14780
Let r = 233527330922/92785055 + 1/16870010. Let n = 2520 - r. Find the common denominator of n and 93/54 + -1 + -2.
198
Suppose -4*h - 110 = -z, -h = -z + h + 100. Calculate the common denominator of ((11/z)/11)/(4/(-70)) and 99/52.
468
Let q = -21677/2 - -10804. Let d = -3841/306 + 237/17. Find the common denominator of q and d.
18
Let u(o) = -4*o**2 - 25*o + 7. Let r be u(-4). Suppose r = 6*q + 19. What is the lowest common multiple of q and 7?
28
Suppose -2*j - 4 = -10. Suppose -2*d + 42 = 5*t - 3*t, -66 = -j*d - 4*t. Calculate the lowest common multiple of d and 108/16*(-16)/(-6).
18
Suppose a = -0*a - 2. Suppose s = -5*p + 91, 0*s = 2*p - 3*s - 33. Calculate the smallest common multiple of p and (-23)/a - (-6)/(-4).
90
Let z be (-4 - 11/(-2)) + 12/8. Find the common denominator of (z/(-6))/(25*4/(-472)) and -43/65.
325
Find the common denominator of -71/492 and (70/(-2352)*-217)/((-41)/(-2)).
492
Suppose -5*a + m - 668 = 0, -400 = a + 2*a - m. Let g = a + 161. Suppose 29 + g = 14*p. What is the least common multiple of p and 28?
28
Let k = -26 - -29. Suppose 84 = 3*y + x - 112, 4*x = -k*y + 181. Suppose 0 = 4*j + 4, 12 - 7 = 5*s + 5*j. Calculate the least common multiple of s and y.
134
Let i = -3847 + 3939. What is the smallest common multiple of i and 4?
92
Let r = 130799 - 86327303/660. Calculate the common denominator of 121/120 and r.
1320
Let a(w) = -w**3 - 4*w**2 + 9*w - 2. Let t be 1/(-4 + (-46)/(-12)). Calculate the smallest common multiple of a(t) and (-530)/80 - -7 - (-45)/8.
48
Let r(f) = -f**3 - 16*f**2 + 8*f + 45. Let n be r(-12). What is the least common multiple of 6*((-66)/n + (-30)/(-76)) and 12?
12
Suppose -a - 81 = -3*x - 12, -4*a = 5*x - 132. Suppose 23*s - 29*s = x. What is the common denominator of 1/s - 1 - 1 and 35/68?
68
Let j be (876/14)/(336/1568). Let m = -282 + j. Let l(h) = -h**3 + 4*h**2 + 2*h - 2. Calculate the least common multiple of l(4) and m.
30
Let a = -195979 + 3527581/18. Let d = -65473/14 + 4680. What is the common denominator of d and a?
126
Suppose 78 = -2*u + 5*r - 61, -u + 3*r - 70 = 0. Let f = u + 113. What is the common denominator of -35/17 and f?
17
Let w(m) = -2*m**3 - 64*m**2 - 182*m + 2. What is the smallest common multiple of w(-29) and 312?
936
Suppose -50 = -g - s + 51, -4*s - 388 = -4*g. Calculate the common denominator of (531/g)/(0 + -4) and ((-3773)/(-88))/7*4/18.
396
Suppose 29*i = -96 + 444. What is the common denominator of (-2 + -3)/15 - (-229)/i and 151/12?
12
Let r = 35667 - 1604947/45. What is the common denominator of r and 26/7?
315
Let i be (-1)/(2/(-4)) + 30. Let o(n) = 7*n + 55. Let m be o(-11). Let y = m + i. Calculate the least common multiple of 18 and y.
90
Suppose -85*u = -75*u. Suppose c + 5 = u, 2*c - 4 = z + 4*c. Suppose -3*s = -4*b + 32, s = 3*s. What is the lowest common multiple of b and z?
24
Let j(d) = d**2 - 48*d + 602. What is the lowest common multiple of j(25) and 315?
945
Let d be (-19)/(1254/8)*1021/4. Let q = d + 275/9. Find the common denominator of (-4)/(-10) + 532/(-180) and q.
99
Let u = -13 - -16. Suppose 0 = 6*m - u*m + 6633. Let p = m + 8937/4. Find the common denominator of 45/16 and p.
16
Let i = -8 + 24. Let d(n) = -2*n**3 + 5*n**2 + 7*n + 2. Suppose 0 = -t + 5*u - 28, t + 6*u - 10*u = -23. Calculate the smallest common multiple of i and d(t).
80
Find the common denominator of ((-28)/(-126))/(848/204) and 67/30.
1590
Let t(n) = -n + 198 - 197 + 0*n. Calculate the lowest common multiple of t(-17) and 5 + 3 - ((-27)/(-3) - 31).
90
Let s(g) be the second derivative of -g**4/12 + 17*g**3/6 - 3*g**2 - 12*g. Let z b