?
8
Let v be 3 - (-1*2 + 0). Let m = v - -3. What is the smallest common multiple of 10 and m?
40
What is the common denominator of ((-2)/(-4))/(2/(-152)*9) and 23/2?
18
Suppose 4*u + 6 = -j, 4*j - 38 + 10 = -3*u. Calculate the lowest common multiple of j and 34.
170
Suppose 0 = i - 3 - 6. Suppose 3*t = y + 17, -5*t + 1 = 2*y - i. Calculate the lowest common multiple of t and 4.
4
Let a be (68/(-3))/(3/27). Let x = -110 - a. Suppose -5*n - 4*f = -x, 3*n + f + 17 = 4*n. What is the lowest common multiple of n and 8?
72
Find the common denominator of 5/20*-2*(-122)/3 and -53/10.
30
Let s(c) = c**3 + 7*c**2 + 5*c + 15. What is the lowest common multiple of 21 and s(-6)?
21
Let p(z) = -7*z - 8. Calculate the least common multiple of p(-4) and 12.
60
Calculate the smallest common multiple of ((-104)/6)/((-14)/42) and 4.
52
Let r = 103/20 - 13/5. Let p = -4339/15180 - -32/115. Let o = 991/132 + p. Calculate the common denominator of o and r.
20
Let w(z) = -z - 2. Let n be w(-4). Suppose -8 = -n*i - 2. Suppose 4*g + i = 11. Calculate the lowest common multiple of 11 and g.
22
Let c be 2487/1662 + 6/(-4). Let n = 1657/1385 - c. Let l = -4163/148 - -162/37. Find the common denominator of n and l.
20
Let i(z) = -z**3 + 13*z**2 - 11*z - 6. Let c be i(12). Find the common denominator of (1/c)/((-16)/(-564)) and -99/14.
56
Let b = -11303/3 + 3725. Let n = b + 295/6. Find the common denominator of n and 388/(-240) - (-1)/(-3).
20
Let q = -400777/22 + 18214. Calculate the common denominator of q and (-733)/60 - (-2)/(-10).
132
Suppose -a = v - 13, -2*a - v + 3*v + 46 = 0. Calculate the least common multiple of 10 and a.
90
Let g = -314299/20 + 15711. Suppose 1239 = a - 3764. Let h = a + -70097/14. What is the common denominator of g and h?
140
Find the common denominator of 3/12 + 39/24 and 7/5.
40
Let u = 1561/4 - 1933/5. What is the common denominator of u and -31/6?
60
Let b = 21709/10 - 2178. Let m(l) = -l**2 + 8*l - 3. Let a be m(6). Find the common denominator of b and (-42)/99 - 6/a.
110
Let h(v) be the second derivative of -v**3/6 + 5*v**2/2 + 2*v. Let s be h(6). Let k = 4 + s. Calculate the least common multiple of k and 11.
33
Calculate the common denominator of 97/6*(-6)/4 and -71/18.
36
Let y = 6/839 + -36209/18458. Let v = 1/2 + -5/8. Let j = 27/8 - v. Calculate the common denominator of j and y.
22
Find the common denominator of 0 and (8/6)/4*71.
3
Let l(q) = 3*q**3 - 2*q**2 + 2*q - 1. Suppose 4*p + 32 = 6*p. Calculate the least common multiple of l(1) and p.
16
Suppose -2*c = -8, -3*d + 8*d = -3*c + 162. What is the least common multiple of 39 and d?
390
Let m(t) = 3*t - 4. Let f be (4 + -10)*(-4)/6. Let i be m(f). Calculate the common denominator of (-4)/i*250/(-12) and 21/16.
48
Suppose -2*l + 3*k + 16 = 2*l, 5*k = 5*l - 20. Suppose 8 = 3*s - l. What is the least common multiple of (2/((-2)/1))/(-1) and s?
4
What is the common denominator of 12/9 + 190/(-66) and 27/5 - 1/(-2)?
110
Suppose 5*f + 25 = 0, c = -f - f + 26. Calculate the common denominator of c and 18/2 + 0/12.
1
Let h = 12 - 9. Let u be 4*h/(12/(-94)). Let c = -262/3 - u. Find the common denominator of -81/10 and c.
30
Find the common denominator of (82/(-18) + 4)*(-7)/1 and 35/22.
198
Let u = -199342/7869 + -2/2623. Find the common denominator of u and 61/8.
24
Let i = 110 + -109. Let c(h) = -h**2 + 3*h + 4. Let z be c(3). Calculate the smallest common multiple of i and z - (-2 + (2 - 1)).
5
Suppose 0*i - 3*i + 990 = 0. What is the common denominator of (-1737)/i - (-2)/5 and 11/42?
462
Let q = 4 + -1. Calculate the least common multiple of 9 and q.
9
Let y(c) = c**3 - 4*c**2 - 4*c + 11. Calculate the least common multiple of 326 and y(5).
2608
Let i(h) = -h**3 + 6*h**2 + h. Let d(s) = -2*s**2 + 3*s + 3. What is the smallest common multiple of d(2) and i(6)?
6
Let t be (-6)/3 + 0/(-2). Let l be (3/t + 2)*8. Suppose -q - l*q + 35 = 0. What is the lowest common multiple of 3 and q?
21
What is the common denominator of -51/16 and 47/((7/3)/((-3)/18))?
112
Suppose -w + 4 = -0*w. Suppose 5*y + 20 = 0, 48 = w*h + h - 2*y. What is the smallest common multiple of h and 10?
40
Suppose 6*t - 67 = t + 4*w, 3*t + 2*w = 27. Let g = t - 7. Suppose 3*s + 16 = 7*s. What is the least common multiple of g and s?
4
Let k(t) = 2*t + 2. Let c be k(-2). Calculate the least common multiple of (c + -3)/(2/(-8)) and 18.
180
Let y(q) = 27*q - 1. Let t be y(1). Let s = t + -10. Suppose 3*j = -0*j + 3*x + 18, -4*x + 8 = 0. What is the least common multiple of j and s?
16
Let r = 32 + -25. Suppose 0 = -4*l + 3 + 1, 2*c + l = 23. Calculate the lowest common multiple of r and c.
77
Let p be (-18)/(-4)*142/(-3). Calculate the common denominator of -115/14 and -1 - (-1 - p/(-24)).
56
Suppose 0 = t + n - 5, -t + 8 = -5*n - 3. What is the smallest common multiple of t and 14?
42
Let r(v) = -v**2 + 8*v + 2. Suppose 5*i - 52 = -3*c, 0*i + 52 = 4*i + 5*c. Calculate the least common multiple of i and r(6).
56
Suppose 2*y + 30 = 5*y. Calculate the lowest common multiple of y and 34.
170
Let x(c) = 3 + 2*c - c - 2*c. Calculate the least common multiple of -1*(-4 - 6) - -2 and x(-5).
24
Let a = -4 + 7. Find the common denominator of 1*a - 744/64 and 41/3.
24
Let n(u) = u**2 - 4*u**2 + 2*u**2. Let w be n(3). Calculate the least common multiple of -3*3/(w/10) and 9.
90
Let g be 1765/(-30) + (-1)/(-1). Let u = -2719/48 - g. Let f = -5/334 - 5805/2672. What is the common denominator of u and f?
16
Let u = 24 + -6. Calculate the least common multiple of u and 6.
18
Suppose -t = -11 - 4. Suppose -2*g - 3*g - t = 0. Find the common denominator of -44 and g/2*10/6.
2
Let g(v) = -31*v**3 - 1. Calculate the smallest common multiple of g(-1) and 21.
210
Let t be (-7)/(-14) + 76706/(-676). Let i = 5581171/53235 + t. Let q = i - -59/35. What is the common denominator of q and 31/6?
18
Let d = -15919/12 + 1329. Find the common denominator of 83/4 and d.
12
Suppose 5*v = -4*a - 0*a + 1, v - a - 2 = 0. What is the smallest common multiple of 31 and v?
31
Let c = 760 - 1591/2. Find the common denominator of (44/(-8)*-2)/2 and c.
2
Suppose -2*r = -8 + 2. Suppose -t + 7 = 5*i + 17, -2*i = 3*t + 4. Let y(k) = -k**3 + k + 4. What is the lowest common multiple of r and y(t)?
12
Suppose -3*c - 1 = -5*a, 5*c + 3*a + 0*a - 55 = 0. Calculate the least common multiple of c and (-8)/10*3/(6/(-25)).
40
Let w = 147/4 - 9/4. Let l = 143/2 + -117. What is the common denominator of l and w?
2
Suppose -2*r = -3*k + 21, 0*k - 5*r = -2*k + 25. Suppose f - 158 = -k*p - 0*f, 3*p + 4*f = 105. Let d = p - 21. What is the lowest common multiple of d and 2?
10
Let r be -45677*3/30 + 1. Let h = r - -4571. Calculate the common denominator of h and 9/2.
10
Let m = -1 + -3. Calculate the common denominator of (-22)/3*(-1 - m) and 21/4*110/(-15).
2
Let f = -1682 + 6781/4. What is the common denominator of 9/2 and f?
4
Suppose -4*c + 4*f = -76, -3*f + 52 = 4*c + f. What is the smallest common multiple of 40 and c?
80
Suppose 0*g + 3*c + 23 = 4*g, -4*c - 28 = -4*g. What is the common denominator of 92/(-16) + g + -1 and 71/6 + (-2)/(-4)?
12
Let r = -6 - -6. Suppose -4*c = -j - 852, r = 3*c - 7*c - 5*j + 852. Calculate the common denominator of c/22 + 2/(-11) and 81/10.
10
Suppose -3*j + 2*h + 126 = 0, -h = -3*h. Calculate the lowest common multiple of 12 and j.
84
Suppose 0 = 3*r - 12 - 0, 5*z - 3*r = -177. Calculate the common denominator of -19/2 and 0 + (-138)/z*1.
22
Suppose 3*q = -q + s + 9, 5*q - 5*s = 0. Let l = -6 + 13. What is the smallest common multiple of q and l?
21
Let p = -1152977/34 + 33914. Calculate the common denominator of p and -109/12.
204
Let z = -6 - -6. Calculate the lowest common multiple of 6/2 + (-2 - z) and 1.
1
Let l = -22116 + 155114/7. Let s be 24/(-60) - (-5893)/140. Let q = s - l. Find the common denominator of -65/14 and q.
140
Suppose -3*c + 18 = -3*n, 0 = -3*c - 4*n + 7 - 3. Let h = 20 - 16. Let v(t) = -t**3 + 5*t**2 - 4*t + 4. Calculate the least common multiple of c and v(h).
4
Let m(j) = j**3 - 2*j + 1. Let p be m(-3). Let g be 5*(-2)/(p/6). Suppose w + 32 = g*w. Calculate the lowest common multiple of w and 14.
112
Let c = 40451 + -10072282/249. What is the common denominator of 49/8 and c?
1992
Let c = 471 + -2971/6. Fin