0/(-45)*x/12 and -103/20.
180
What is the smallest common multiple of 50 and (32/(-10))/(35/(-25) - -1)?
200
Let c = -11762 - -4293134/365. Let x = 7211/1460 + c. Calculate the common denominator of x and (-58)/60 - 2/6.
20
Let v = -2932/5 + 53521/90. What is the common denominator of -57/2 and v?
18
Let x(z) = -z**3 + 4*z**2 + 2. Suppose -3*p - 62 = -5*t, -22*t - p = -18*t - 36. Calculate the least common multiple of x(2) and t.
10
Calculate the common denominator of 29/1*(-4)/(-40) and (4 - (-796)/(-200))*(-630)/4.
20
Suppose -d - 2 - 2 = -2*x, 3*x - 7 = d. Let n(k) = 2*k**3 + 2*k - 2. Calculate the lowest common multiple of (88/(-154))/(150/154 - 1) and n(d).
198
Let t = 4784 - 129106/27. Calculate the common denominator of 113/258 and t.
2322
Let l = 18393111/10 + -1833869. Let h = l - 5450. Calculate the common denominator of h and ((-62)/(-4))/(3 + 2).
10
Let p(z) = z**2 + 5*z - 10. Let m be p(-5). Suppose 4*l = h + 111, 4*l - 26 - 84 = 2*h. Let a = m + l. Calculate the smallest common multiple of 6 and a.
18
Let v = 26 + -21. Let y(j) be the third derivative of j**4/8 + j**3/2 - j**2. What is the lowest common multiple of y(v) and 12?
36
Suppose 15*v = 14*v - 122. Let z = -90 - v. Calculate the smallest common multiple of 8 and z.
32
Let o(x) = x**3 + 13*x**2 - 15*x - 16. Let f be o(-14). Calculate the common denominator of -123/20 and (-45 - 4)*f/(-24).
60
Calculate the common denominator of -49/18 and 11 + 5840/(-288) - (1 - 2).
18
Let f(p) = 2*p**2 + 31*p + 77. What is the least common multiple of 104 and f(-13)?
312
Let a be ((-33)/6)/((-1)/4). What is the common denominator of 2*-1 + 9/a and 5/18?
198
Let z = -2905 + 40643/14. Let t be 2 + (35487/(-40))/(-9). Let l = 516/5 - t. Find the common denominator of l and z.
56
Let c(x) = 4*x**2 + 252*x**3 - 251*x**3 - 10*x + 2*x**2 + 2 + 3*x**2. What is the least common multiple of 8 and c(-10)?
8
Let j = -49/5 + 637/40. What is the common denominator of j and 7/16?
16
Calculate the common denominator of 99/14 and (-452)/490 + 7/((-245)/(-28)).
98
Suppose -3*z + 2*m = 64, 3*z + 46 = -5*m - 25. What is the lowest common multiple of 39 and (-2 - -1)*(3 - (2 - z))?
273
Let l(n) = -n**2 - n - 3. Let p(s) = -s**2 - s - 2. Let k(z) = 3*l(z) - 4*p(z). Calculate the smallest common multiple of 4 and k(1).
4
Suppose -113 - 405 = -5*z - 4*p, -5*z - 5*p + 520 = 0. Suppose -338 - z = -10*t. What is the least common multiple of 24 and t?
264
Suppose s + 0*s = v + 7, 4*s = v + 19. What is the least common multiple of s and (4/(-12))/(213/36 - 6)?
4
Find the common denominator of 37/3 and ((-6)/(-15))/((-24)/33).
60
Suppose -28 = -5*x - 2*x. Suppose -4*b - b - x = -u, -3*u - 4*b = -31. Calculate the lowest common multiple of u and 23.
207
Let t = -1206989/4400656 - -5/21157. Find the common denominator of -53/16 and t.
208
Find the common denominator of (-16 - -4 - -12) + 104/90 and 67/40.
360
Let v = 2020/117 + -288/13. What is the common denominator of v and 680/54 - 6 - 6?
27
Calculate the lowest common multiple of 100 and (-80)/(-24)*162/15 + 2.
1900
Let n be ((-8)/(-110))/(8/(-6880)). Let c = n - -125/2. What is the common denominator of c and 59/10?
110
Let k = 5885 + -105979/18. Find the common denominator of k and 47/162.
162
Let r(h) = -2*h**3 - 3*h + 3*h**3 - 9 + 0*h**3 + 7*h**2 - 6*h**2. Calculate the smallest common multiple of r(3) and 22.
198
Suppose 0 = 4*t + 6*t - 250. Calculate the lowest common multiple of t and 15.
75
Let w be (-39)/(-15) + (-4)/(-10). Suppose m + 4*g = -18, -2*m + g = -3*m - w. Calculate the least common multiple of 1/(2/4*72/180) and m.
10
Suppose 5*r - 3*d - 133 = 0, 6*r - r + 3*d - 157 = 0. Suppose -3*z + 2*z - j = -r, 2*z - 49 = -5*j. Calculate the smallest common multiple of z and 6.
96
Let a = -98741 + 13231213/134. Find the common denominator of 75/4 and a.
268
Let f be (-2)/3*(-867)/240*3858. Let i = 9287 - f. Calculate the common denominator of -13/28 and i.
140
Find the common denominator of (-8)/5*874/228 and 93/4.
60
Let b = -475 + 489. What is the lowest common multiple of 80 and b?
560
Let c be -5 + 6 - ((-2120)/2)/(-1). Let v = 4395/8 - -3897/8. Let d = c + v. Calculate the common denominator of 97/12 and d.
12
Let t(z) be the first derivative of z**4/4 - 2*z**3 - 15*z**2/2 + z + 12. What is the smallest common multiple of 15 and t(8)?
45
Let o be (-6 + 9)*(2 - 1). What is the common denominator of 2/(-6) + 275/(-210) and 149/44 + o/12?
154
Let d = 16580 + -265371/16. Find the common denominator of d and (0 + (-1)/(-12))*(-1140)/(-8).
16
Suppose -2*k = -k - 5*x - 15, 3*k - 65 = -5*x. Let g = -4 - -12. Calculate the lowest common multiple of g and k.
40
What is the common denominator of -41/6 and 105/175 - (-11)/(-40)*-86?
12
Let o = -18 + 32. Find the common denominator of 76/o + 10 + -7 and 2 + ((-56)/22 - 1).
77
Let g = 17 + -17. Suppose 8 = -4*h, -5*t - 4*h + g*h = 83. What is the common denominator of -6/11 and t?
11
Suppose -13 = 6*s - 31. Suppose 3*w = s, 90 = 2*n - n - 4*w. Calculate the smallest common multiple of 9 and n.
846
Let q(k) = -k + 2. Let s be q(3). Find the common denominator of (-58)/(-44) - (s + 2) and 3 + (2212/72)/7.
198
Let y = 103950 - 52658. Suppose 4*n = -y - 2924. Let f = n - -216965/16. Find the common denominator of 101/2 and f.
16
Let b(i) = 15*i - 3. Let v = 61 - 58. Calculate the smallest common multiple of 30 and b(v).
210
What is the common denominator of 43/9 and (-23)/(-161)*581/6?
18
Let y(d) = -d**2 - 6*d + 10. Calculate the least common multiple of y(-7) and 7/((-7)/(-4)) - -5.
9
Let s(y) = 4*y**3 + 2*y**2 - 10*y + 4. Calculate the smallest common multiple of 63 and s(2).
504
Suppose -12*m + 7*m + 35 = 0. Suppose 2*s + 78 = 4*z, -m*z + 8*z - 128 = 4*s. Calculate the common denominator of -15/8 and s.
8
Let j = -25 - -37. Let v be (-3)/9 - (-256)/12. What is the lowest common multiple of (-8)/(-12) + 28/v and j?
12
What is the lowest common multiple of (1 - 2)*-109 + 3 and 32?
224
Let t = -184 - -272. What is the smallest common multiple of t and 88?
88
What is the common denominator of 42 and (-8228)/1020 - (-4)/6?
5
Suppose 2*h + 5*d = 56, 2*d + 2*d - 34 = -h. Let i be (2/2)/(-5 - -4) - -7. Find the common denominator of (-97)/h - (-3)/i and -5/6.
18
Let s(h) = -22*h - 55. Let k be s(-4). Suppose 0 = -3*t + 15, -2*y = -3*y + t - 16. Let n = k + y. What is the lowest common multiple of 6 and n?
66
Let i = 227 + -209. Suppose -2*c - 3*g + 7 + 4 = 0, 0 = 2*c - g - 7. What is the common denominator of 24/7 and c/3 + 58/i?
63
Suppose -s + 890 = 4*p + s, 0 = -2*p + s + 455. Calculate the least common multiple of 60 and p.
900
Let d(i) = 9*i + 24. Calculate the smallest common multiple of 28 and d(0).
168
Let w be (8 - 8/4) + -3. Let c = 6 - w. Calculate the common denominator of -47/2 and 124/40 - c/(-4).
20
Suppose -5*m - u = 0, 0*u = -5*m + u + 10. Suppose -z = -3 + 1. Suppose -3*y = -y - z. Calculate the smallest common multiple of m and y.
1
Let k = 10885 - 195851/18. Let y be (-2)/(0 - -1) - (1752 + -8). Let c = -13951/8 - y. Calculate the common denominator of c and k.
72
Let k(q) = -11*q**2. Let r(u) = -u**3 + 10*u**2 - 9*u + 1. Let i be r(9). Let x be k(i). Let z = x + 13. What is the least common multiple of z and 4?
4
Find the common denominator of 2 - ((-54)/3)/(16/(-11)) and 46/99.
792
Let i = 1156 + -1152. What is the smallest common multiple of i and 124?
124
Let o(l) = l**2 + l - 5. Let t be o(-4). Let r(v) = v - 4*v + 9 + 0*v + 4*v. What is the least common multiple of r(t) and 12?
48
Suppose 337 = 25*i - 1038. What is the least common multiple of i and 30?
330
Let x = 47683 + -9345915/196. What is the common denominator of x and -25/14?
196
Suppose 0 = -4*h - 4, -b = -11*h + 6*h - 8. Calculate the lowest common multiple of 33 and b.
33
Suppose 3*y + 4*c + 24358 = 0, c - 6302 = y + 1829. Let k be 1 - -1 - y/(-280). Let z = k - -429/28. What is the common denominator of z and -32/9?
90
Let d = 3811/18 + -216. What is the common denominator of 58/27 and d?
54
Suppose 15 = -16*s + 13*s. What is the common denominator of -45/4 and s/(-5) - (-186)/(-32)?
16
What is the least common multiple of 126 and (-434)/(-3) + -2 + 4/3?
1008
Let t = 6493341/559 + -11616. Find the common denominator of -27/8 and t