3/49 and ((-10)/(-35))/(-1)*(-1062)/(-1764)*1?
343
Let w(z) = -z**2 + 7*z + 2. Let p be w(7). Suppose o + 3 = 4*o, 2*o + 46 = p*g. What is the smallest common multiple of 15 and g?
120
Calculate the common denominator of 10/44*(-12)/(-24)*-40 and -71/231.
231
Let i be -3*15/20*-4. Suppose -i*k - 13 = -31. Let z = -32 - -50. What is the smallest common multiple of k and z?
18
Suppose 0 = -5*t - 15, 162*u = 159*u - t + 237. What is the smallest common multiple of u and 128?
640
Let m(s) = -2*s. Let d(w) = w**2 - 3*w - 48. Let x(q) = -d(q) + 5*m(q). Suppose -56 = -5*c + 64. Calculate the smallest common multiple of x(-10) and c.
72
Let l = 89 + -79. Let w = -2 + 22. Calculate the least common multiple of w and l.
20
Suppose -58338 = 64*m - 58466. Let c(y) = 12*y**2 - 4*y - 4. Calculate the least common multiple of m and c(-3).
116
What is the common denominator of ((-143)/4)/(-26 - (-730)/20) and 29/196?
588
Let p = 7119/4 + -1790. Let q = -82/100337 + -897308051/7023590. Let b = -632/5 - q. What is the common denominator of b and p?
28
Let q(a) = -a**3 - 16*a**2 - 46*a + 28. Let b be q(-12). Suppose 0 = b*u - 66 - 18. What is the least common multiple of u and 9?
63
Suppose 0 = w + w - 2*v - 12, 4 = -w - 4*v. What is the common denominator of 45/14 and -11*(-33)/(-70) - w/(-10)?
14
Let v = -15043/5408 - 21/338. What is the common denominator of (2/5)/((-4)/(-5)*-2) and v?
32
Suppose 23*f = 26*f + 12. Suppose 5*j = 2*j + 3*z + 87, 2*j - 4*z - 50 = 0. What is the least common multiple of 3 - (-6 - f) - 4/2 and j?
33
Let d = -548837/44 - -12473. Find the common denominator of -133/528 and d.
528
Suppose -43*g + 48*g = 535. Suppose -5*h + 430 - g = 3*b, 4*h = b + 255. What is the smallest common multiple of 24 and h?
192
Let g(z) = 3003*z - 113. Calculate the least common multiple of g(1) and 40.
11560
What is the common denominator of (-130)/195 + (-2054)/(-234) and 17/(-66)*4 - 0?
99
Let i(x) be the first derivative of x**3/3 + 3*x**2 + 37*x - 35. What is the least common multiple of 4 and i(-7)?
44
Let g be (-12)/(-10)*((-15)/6)/(-1). Let w = g - 9. Calculate the lowest common multiple of w/(-14) + (-5)/(70/(-78)) and 54.
54
Suppose 0*u = -2*u + 28. Let c be 2 + 28/(-49) + 36/u. Suppose 4*b = -c*v - 63 + 203, -103 = -3*v - 2*b. Calculate the lowest common multiple of 12 and v.
132
Suppose -23 = -m - 3*f, 2*m + 2*f = -f + 31. Let d = 29 + -27. Suppose -5*w + 2*o + 26 = -o, d*w = -o + 6. Calculate the least common multiple of w and m.
8
Let c = 13639732797/3633845 + -71317/19. Let b = -253986622/1721295 + c. Let x = b - -1109/9. Calculate the common denominator of x and -83/30.
30
Let u be ((-318)/5)/(21/(-15)). Let w = u + -2785/63. Calculate the common denominator of w and (-22)/44 - (318/(-93) + 3).
558
Suppose -133*s + 65067 = 20379. Calculate the smallest common multiple of 252 and s.
1008
Suppose 0 = -5*y + 2*o - 38349, 3*y - 6*y + 5*o - 22998 = 0. Let f = 536983/70 + y. What is the common denominator of f and -61/8?
280
Suppose -t + 0*t - 3*m = 11, 3*m = -2*t - 19. Let f = t - -12. What is the least common multiple of (-4)/(-4) + 3 + f + -2 and 3?
6
Let h be (-70)/315 - (-34)/(-252). Let g = h + -141/7. Calculate the common denominator of g and -47/212.
212
Let p = -2198 + 1344. Let f = p + 860. What is the least common multiple of f and 7?
42
Let m be (9/(-21) - -1) + 21/49. Find the common denominator of 118/(-3)*((-9)/(-6) - m) and (-4)/(-2) + 101/(-31).
93
Let r(t) = 213*t + 211. Calculate the least common multiple of 4 and r(5).
1276
Let i(m) = -m**3 + 2*m**2 - 3*m + 4. What is the lowest common multiple of ((-63)/(-36))/((-1211)/(-6920)) and i(-3)?
290
Let l = -352699/46 - -7667. Suppose -4*s = 4*x + 240, 5*x - 4*s = -239 - 106. Let z = 255/4 + x. Find the common denominator of z and l.
92
Let f(s) = 15*s**2 - 36*s + 45. Let y = 6 + -17. Let c(a) = -3*a**2 + 7*a - 9. Let t(u) = y*c(u) - 2*f(u). Calculate the smallest common multiple of t(2) and 1.
11
Let y = 129/1765 - -122677/374180. Calculate the common denominator of -29/1824 and y.
96672
Let k be (-10)/(60098640/20462324) - 0. Let j = k - -1/35773. What is the common denominator of 0 + (-5)/12*-29 and j?
84
Suppose 7*d = 2*d, 5*w - 585 = -4*d. Let o = w - 109. Suppose -31*x + o = -29*x. What is the least common multiple of 7 and x?
28
Suppose 9 = q - 0*q. Suppose -11*t + 1764 = 10*t. Let n = t + -51. What is the smallest common multiple of n and q?
99
Let w = -1214616 + 1778197693/1464. Find the common denominator of 23/16 and w.
2928
Let m(t) = -6*t**3 - t - 1. Let a = 6 - 7. Suppose -4*g = -8*g + 2*z + 58, 0 = 3*g - 5*z - 61. What is the smallest common multiple of m(a) and g?
12
Suppose 0 = n - 5*o + 79 - 69, n - 3*o + 2 = 0. Calculate the least common multiple of 9680 and n.
9680
Suppose -11*l + k - 5 = -12*l, k = -2*l + 13. Calculate the common denominator of (28/l + 4)/(108/(-50)) and -37/24.
72
Let d be 615*(-12)/(-75)*5. Let z be (-2)/(-4) - d/(-8). Let v = z - 57. What is the least common multiple of 2 and v?
10
Let s = -225 - -241. Suppose -22*r + 66 + 198 = 0. Calculate the smallest common multiple of r and s.
48
Let y be (360210616/10 - 0)/(158004/(-3290)). Let l = -14254114/19 - y. Let g = 1960/11 + l. What is the common denominator of g and -91/18?
54
Let m be 6 + 2 + -6 + 136. Let h = m + 72. What is the smallest common multiple of 20 and h?
420
Let m = -2095423/64 - -32742. Find the common denominator of (146230/(-2016))/(-5) - 14 and m.
576
Let w = 12364 - 12356. Suppose -12 = 3*d, 6*d = g + 3*d. What is the lowest common multiple of w and ((-2)/(-6))/((-1)/g)?
8
Let t(g) = -3*g**2 - 38*g + 46. Let c(p) = p**2 - 8*p - 6. Let q be c(7). Let b(f) = f**2 + 3*f - 3. What is the lowest common multiple of b(3) and t(q)?
165
Let l(f) = -f + 8. Let a be l(12). Let o = a - -6. Let c = 43 - 33. Calculate the smallest common multiple of o and c.
10
Suppose -11*s + 7*s - 2360 = 0. Let z = 2567/4 - 650. Calculate the common denominator of z and ((-18)/540)/((4/s)/1).
12
Suppose 5*b = -5, -4*f - 500 = -7*f - b. Let m = 176 - f. What is the smallest common multiple of m and 54?
54
Let n be 1 - (2 + 0) - -38. Suppose -5*v - q + n = -122, v - q - 33 = 0. What is the lowest common multiple of v and 16?
32
Let g(z) = 29*z**2 - 74*z - 3. Calculate the lowest common multiple of (1/(-3))/((-4)/12) and g(3).
36
Let h = 60 + -48. Let l be 30/4 - (-3)/6. Let f = l - -14. What is the lowest common multiple of f and h?
132
Suppose 2*x + 22 = -4*r, -3*r - 33 = 2*x - 14. What is the common denominator of ((-2 + -7)/r)/(8/(-54)) and -43/100?
100
Suppose -c = -2*q + c + 22, -q = -2*c - 9. Suppose -38 = -17*g + q. Calculate the lowest common multiple of g and 50.
150
Suppose 2*m - 14*c + 17*c = 19, -2*c + 9 = m. Calculate the common denominator of (-1359*m/132)/(54/4) and -59/21.
126
Suppose i = -i - 2*j - 322030, 0 = 4*j - 12. Let a be ((-3)/(-8))/(5499/i). Let z = a + 3/47. Calculate the common denominator of z and -11/14.
84
Let f = 104735/12 - 8716. Find the common denominator of f and 6/(-4) - (-748)/168.
84
What is the least common multiple of (-2)/11 - ((-6072)/242)/(6/56) and 6?
234
Let t be ((-50)/(-65))/5 - 265/(-78). Let a = t - 28/39. What is the common denominator of a and 65/12?
12
Calculate the common denominator of -21/8 and -10 + 9 + (140745/(-12816))/(-11).
4272
Suppose 573*x - 572*x - 2652 = -4*j, -4*x + 10563 = j. What is the lowest common multiple of 2200 and x?
13200
Suppose -6*s + 11 + 13 = 0. Suppose 9*r - 4*r - 156 = -2*c, 3*r = -s*c + 102. Let t = -36 + 40. What is the lowest common multiple of r and t?
60
Suppose -3*p - 16*k = -18*k - 1386, -2*p + 4*k = -916. Let h = -394 + p. Calculate the smallest common multiple of 21 and h.
210
Let t = -41029/30 - -1369. Let x = 5 - 3. Calculate the common denominator of t and (-3573)/504 + x/(-7).
120
Let o = -149 - -123. What is the common denominator of -10/81 and (-1 - o)/(-5) - 577/(-90)?
810
Let m = -11968 + 14838. Calculate the smallest common multiple of m and 4510.
31570
Let x(k) = 1311436*k + 46. Let q be x(14). Let w = q + -550740011/30. Let h = w - 10776/5. Find the common denominator of h and 47/8.
120
Let x(f) = 20*f**2 - 10*f - 7. Let o be x(-1). What is the lowest common multiple of o/(-7 - (-87)/12) and 8?
184
