
Let z(m) = -m**2 + 17*m - 42. What is the smallest common multiple of z(13) and 10?
10
Let b = 2612 + -28709/11. Find the common denominator of 6/(-21) + 993/21 and b.
11
Suppose -4*t + 6 = -3*t. Calculate the lowest common multiple of 11 and t.
66
Let y(m) = -242*m - 13. Let t be y(9). Let j be (-10)/45 - t/(-792). Let d = -4/11 - j. Find the common denominator of 81/2 and d.
8
Suppose 4*w + 2*k - 33 = 23, 0 = -k. Suppose 2*m + 126 = 5*f - 2*m, 3*f - 5*m = 86. Calculate the smallest common multiple of f and w.
154
Let q = 3/1850 + -71231/3700. What is the common denominator of q and 43/2?
4
Let s be (262/132)/(2/11538). Suppose -4*o + 15442 - 61234 = 0. Let r = o + s. What is the common denominator of r and -81/20?
220
Suppose 10*j - 5*j = 5. Let g = 9 - 6. Let i = g - 1. Calculate the smallest common multiple of j and i.
2
Let p be 2 - (-2)/(6/(-33)). Let f = -4 - p. Suppose 27 = 2*v + f*g, -10 = -v - g + 2*g. What is the smallest common multiple of 7 and v?
77
Calculate the lowest common multiple of 11 and (-6)/4*40/(-15).
44
Let o(g) = 3*g**2 - 10*g + 12. Let c(d) = -7*d**2 + 21*d - 25. Let l(p) = 2*c(p) + 5*o(p). Calculate the least common multiple of l(8) and 2/(-4) - 17/(-2).
40
Suppose -2*d - 16 = -6*d. Calculate the lowest common multiple of 10 and d.
20
Let r(x) = 9 - 7 - 7*x + x + 9*x**2 - x**3. What is the smallest common multiple of r(8) and 22?
198
Let g = 210775/32 - 6588. Find the common denominator of g and 11/18.
288
Let i = 1 + 2. Let r(m) = 4*m**2 - 2*m + 3. Let c be r(2). What is the least common multiple of i and (-22)/(-8) + c/(-20)?
6
Suppose -11 = -n + 19. What is the lowest common multiple of 120/(-25)*n/(-9) and 10?
80
Suppose 2*u + 4 = 12. Suppose c + c - 4*j + 24 = 0, 3 = -u*c - j. What is the lowest common multiple of (c - -10)/2 - 2 and 5?
10
Let o(w) be the first derivative of -w**3/3 + w**2/2 + 7*w + 4. What is the least common multiple of 9 and o(0)?
63
Let f(g) = -g**2 - 9*g + 3. Let i be f(-9). Suppose 100 = n - 2*y, 3*y - 6*y = -i*n + 306. What is the common denominator of 2/(-16)*n/(-18) and 41/2?
18
Suppose 2*s = -0*s + 12. Let u = 1 - -4. Suppose b = -5*c + 4*b + 62, -b - 54 = -u*c. Calculate the smallest common multiple of c and s.
30
Suppose -4*s = -4*g + 1120, 5*g + 854 = -3*s + g. Find the common denominator of (-5)/10*s/(-9) and 9/5.
15
Let v(o) = o + 8. What is the smallest common multiple of v(-6) and 6?
6
Suppose 2*w - 24 = 4*o, w = -2*w - 3*o + 9. Suppose -m - r + w = 0, 3*m + m = -3*r + 25. Calculate the smallest common multiple of 10 and m.
70
Let f(t) = t**2 + 8*t + 7. Let j be f(-6). Let h(n) = n + 2. Calculate the common denominator of h(j) and -13/9.
9
Suppose 0 = -u + 15 + 1. Suppose -2*h - u = -4*h. What is the lowest common multiple of 17 and h?
136
Let f(s) = -2*s**3 + 8*s**2 + 5*s - 6. Calculate the smallest common multiple of f(4) and 6.
42
Suppose -2*b = -4*b, 2*p - b = 82. Let d = p - 64. What is the common denominator of d and 24/7?
7
Let w = -15 - -15. Let l(p) = p + 8. Suppose 2*y - 4 = 4. What is the lowest common multiple of l(w) and y?
8
Let y = -1236/5 + 17369/70. Find the common denominator of y and -23/32.
224
Let a = 67364/9247 + 1/1321. Let w be (1/36)/((-21)/(-13779)). Let v = w + 11/21. Calculate the common denominator of a and v.
28
Let w = -1 + 5. Suppose -r - 2*j + 88 = w*r, 0 = 2*r + 5*j - 52. What is the least common multiple of r and 22?
176
Let h be (120/(-28))/((-4)/28). What is the smallest common multiple of 16 and 318/h - 6/10?
80
Let a = 21 - 7. Suppose -2*u = -7 - 1. Calculate the smallest common multiple of u and a.
28
Suppose 4*l - 31 = 25. What is the lowest common multiple of 8/28 - (-192)/l and 8?
56
Suppose 4*r - 8 = 4*w, -4*w - 2 = -w - 2*r. Suppose 2*c - 7*c - 2267 = w*o, 2*c - 4*o + 926 = 0. What is the lowest common multiple of 1/6 + c/(-42) and 9?
99
Suppose -a + 1 + 5 = 0. What is the lowest common multiple of 22 and a?
66
Let y = 37/30 - -883/330. Find the common denominator of 18 and y.
11
Suppose r + 2*c = 2*r - 24, 2*r = -5*c + 93. What is the smallest common multiple of 9 and r/5 - (-2)/10?
63
Let h = 2650/9 + -29492/99. Calculate the common denominator of -30 and h.
11
Suppose -13 = -5*y + 17. Calculate the lowest common multiple of y and 5.
30
Let h = -2425893/10 - -243013. Let y = h - 428. Find the common denominator of y and 2/3 + 98/(-120).
20
Suppose -5*i + 84 = -16. What is the lowest common multiple of i and 18?
180
Suppose -u + 4*o = -0*u - 40, 3*u - 3*o - 75 = 0. Let y = 6 - -14. What is the lowest common multiple of u and y?
20
Let g = -4 + 14. What is the lowest common multiple of g and 21?
210
Let x(m) = -m**3 - 3*m**2 + 2. Suppose -2*d - 5*s = -d + 11, 0 = 3*s + 12. What is the least common multiple of x(-3) and d?
18
Let a = -10 - -4. Calculate the common denominator of (2/(-12))/(a/(-278)) and -31/16.
144
Let f = -1711/1075250 + 3/5750. Let i = f - -79489/13090. What is the common denominator of (1/4)/(1/(-2)) and i?
14
What is the common denominator of (-1)/4 + (-197)/36 and (-3 - (-81)/28)/(9/282)?
126
Let i = -4 - -3. Let v be (-1723)/1 - 1/i. Let g = -10385/6 - v. What is the common denominator of 18 and g?
6
Let j = 13901 + -166709/12. What is the common denominator of j and -22/7?
84
Let m(c) = -c**2 + 6*c + 6. Let f be m(8). Suppose 4 - 8 = -4*b. What is the least common multiple of b and (-1)/1 - (f - 1)?
10
Let y = 41 + -15. Let a = -16 + y. Calculate the common denominator of 4/a - 417/(-20) and 9/8.
8
Find the common denominator of (-6)/(-165)*(2 + 88) and 34/5.
55
Let q(t) = -t**2 + 8*t - 8. Suppose 4*m - l - 30 - 8 = 0, 1 = m + 4*l. What is the lowest common multiple of q(6) and m?
36
Suppose 7*d = -d + 240. Calculate the lowest common multiple of d and 15.
30
Suppose 3*b = -3*z + 33, 2*z - 2*b - 26 = -0*b. Calculate the least common multiple of 33 and z.
132
Let t(f) = -f - 3. Suppose 27 = 4*a - 13. What is the smallest common multiple of a and t(-4)?
10
Find the common denominator of 2/(-14) - ((-171)/(-21) + -2) and 2/4 + (-327)/18.
21
Suppose -9 = -5*x - 4. Calculate the least common multiple of x and 9.
9
Let n = -15 + 9. Let q = n + 7. Suppose -v + 1 = -1. Calculate the smallest common multiple of q and v.
2
Let q = 10/49 - -586/147. What is the common denominator of q and -119/6?
42
Let u(s) be the second derivative of 5*s**3/6 - 2*s**2 - s. Let o = 21 + -18. Calculate the smallest common multiple of 10 and u(o).
110
Let u = -15251/6 + 2536. Let v = 3/101 - -1090/707. Calculate the common denominator of u and v.
42
Let b(s) = s**3 + 3*s**2 + s - 2. Let w be b(-2). Let q be (w + -5)*(-6)/5. What is the smallest common multiple of 18 and 1*q/(-3) - -4?
18
Suppose y - 3*y - 2*n + 28 = 0, 62 = 3*y - 2*n. Calculate the common denominator of ((-3)/6)/(y/292) and -101/10.
90
Let r(x) = x**3 + 5*x**2 + 3. Let h be r(-5). Suppose h*j - 3 = 2*j - 5*u, 3 = j - 3*u. What is the smallest common multiple of 8 and j?
24
Find the common denominator of (17/(-22) + 3)/(-7 - -4) and 95/12.
132
Let n be (-8)/((-3)/(3*-1)). Let l(p) = -2*p - 8. What is the smallest common multiple of (n/1)/(-5 - -4) and l(-7)?
24
Suppose 59 = 2*t - 3*u, 2*u - 20 = -t + 6. Calculate the common denominator of 83/24 and t.
24
Let v = -2461202 + 22096379/9. Let p = 6056 + v. Calculate the common denominator of (-1)/(-3)*43 - -2 and p.
9
Suppose 15 = -5*l + 5*a - 0*a, 0 = 3*a - 15. Calculate the smallest common multiple of l and 6.
6
Let b = -5937 + 279029/47. Find the common denominator of 1/5 and b.
235
Let p(y) = -5*y + 9. What is the least common multiple of 9 and p(0)?
9
Let x(z) = 0*z - 6*z - 4*z + 8 + 0 - z**2. Calculate the smallest common multiple of x(-8) and 16.
48
Let j(g) = -g**2 + 7*g + 1. What is the lowest common multiple of j(5) and 8?
88
Let q = -3451253 - -34470079/10. Let o = q - -4239. What is the common denominator of o and 79/2?
10
Find the common denominator of 1/(-4) + 12/8 and -15/4.
4
Let p = 14 - 10. Suppose 3*y + 2*g = 14, -p*y - 5*g = -2*g - 18. Calculate the smallest common multiple of y and 12.
12
Let v be (-24)/(-32) + (-218)/(-8). Calculate the lowest common multiple of v/14*9/2 and 2.
18
Suppose 4*p = -4*a - 64, -5*a - 84 + 28 = -p. Let j = 21 + a. What is the lowest common multiple of j and 11?
99
Let v =