- -80. Suppose -5*x - 38 = -4*k + 38, 0 = 4*k - x - 92. What is the least common multiple of k and f?
24
Suppose 11*u = -0*u + 154. Let m be 44/(-8) + (-2)/4. Calculate the lowest common multiple of (28/(-6))/(2/m) and u.
14
Let j = 22/47 - 2911/94. Let q = -42521/50 - -1048/25. Let w = q - -833. Find the common denominator of w and j.
2
Find the common denominator of (111/(-60))/(-1 + 2) and -111/28.
140
Suppose 5160 = 39*j + 4*j. Calculate the least common multiple of j and 120.
120
Suppose 0 = -2*a + 3*a - 12. Let n be 6/4*136/51. What is the smallest common multiple of 1/((n + -2)/44) and a?
132
Find the common denominator of 38/15 and 21/840*-31*1.
120
Let j = 11113170483127/8122780 + 406/406139. Let x = 1370466 - j. Let r = x - 2319. What is the common denominator of 149/18 and r?
180
Let m = -8 - -11. Suppose 4*r - 4*c = 61 - 1, -c = 3*r - 45. Suppose b + 7 = v, 3*b = 4*v - 9 - r. What is the least common multiple of v and m?
3
Suppose 2*n - n - 6 = -y, -19 = -4*n - 5*y. Let u = n + -8. Suppose j + u*j - s + 181 = 0, -5*j - 4*s - 200 = 0. Find the common denominator of j and -35/4.
4
Let a be ((-546)/(-221))/((-11)/2). Let m = a + -18703/3740. Find the common denominator of (7/5)/((-4)/(-50)) and m.
20
Suppose 6*c + 10 = 3*a + 5*c, -a = -3*c - 14. Suppose 8*d - 142 - a = 0. Calculate the smallest common multiple of d and 4.
36
Suppose -a = -4*a. Suppose 2*d - v + 6 = 17, d - 1 = 5*v. Suppose d*i - 3*i - 6 = a. Calculate the least common multiple of 9 and i.
18
Let n(t) = t**3 - 7*t**2 + 10*t + 8. Let c be n(4). Calculate the common denominator of 2 - 0 - (-69)/(-10) and c + (-6)/(-10) + (-2167)/495.
90
Suppose -u + 201 = 3*x, -6*x + 196 = u - 4*x. What is the least common multiple of u and 8?
744
Let t = -46 + 48. Calculate the least common multiple of (-93)/t*(1 - (-21)/(-9)) and 10.
310
Suppose -4*c = -8, 32 = -8*r + 5*r + c. Suppose 4 = -5*w - 46. What is the smallest common multiple of 28 and (-182)/w + 2/r?
252
Suppose -4*x + 22 = x + 2*j, 0 = -4*x - 3*j + 19. Let k(q) = x + 2 + q - 16 + 12. What is the smallest common multiple of k(10) and 2?
12
Let y = -38 - -54. Let x be 4/y + (-294)/(-8). Suppose b + x = 4*i, -2*i - 5*b - 35 = -7*i. What is the lowest common multiple of i and 18?
90
Let t = 5447/18 - 1837/6. Let r = -1644 - -34495/21. Find the common denominator of r and t.
63
Let m = 306 + -3659/12. Calculate the common denominator of m and -2 + 16/(-10) - 0.
60
Let q be 28/7 - (-6)/(-3). Suppose 4*o - 34 = -4*m - q, -4*o + 4*m = 0. Suppose 1 = 2*w - 11. What is the smallest common multiple of w and o?
12
Suppose -6*w = 11*w - 204. Let a = 2 - -2. What is the least common multiple of a and w?
12
Suppose 0*m - 2*o = -4*m + 22, -6 = -3*m - 2*o. Suppose y = 2*y + 1, 2*t + m*y = 0. What is the least common multiple of 4 and t?
4
Let q(r) = 2*r - 13. Let p be q(8). Suppose -2*v + 40 = p*v. Suppose 0 = -2*s - 4*z + 36, 2*z = 3*s - 30 - v. What is the lowest common multiple of s and 12?
84
Let h = 85 + -76. Suppose -143 - 4 = -7*g. Calculate the smallest common multiple of g and h.
63
Let b be ((-12)/(-15))/((-4)/(-380)). Let d = b + -54. Calculate the smallest common multiple of 4 and (2 + -5)/((-3)/d).
44
Let l = -72997/12186 - -31/677. Calculate the common denominator of (-89)/(-14) + (-9 - -6) and l.
126
Let l = -2805 + 89735/32. Calculate the common denominator of l and (1/(-4))/((-144)/(-168)).
96
Let p = 1 + 1. Let s be 4*(-60)/(-32)*(-16)/(-6). Suppose 3*i - 8*i + s = 0. What is the lowest common multiple of p and i?
4
Calculate the lowest common multiple of (1 + 5/(-2))/((-117)/780) and (-2)/(-7) + (-10)/(-14).
10
Suppose -2*a = -5*w + 875, -a + 229 = w + 47. Calculate the least common multiple of 30 and w.
1770
Suppose 4 + 2 = 2*s. Suppose -2*p = 2*h + 8, p = -s*h + h + 1. What is the common denominator of 19/8 and (-162)/(-4) - (-36)/p?
8
Let q = 48 - 32. Let y(x) = -5*x + 2 + x - 2. Calculate the least common multiple of q and y(-1).
16
Suppose -8 + 2 = 2*j - 4*m, 0 = -2*m + 4. Calculate the smallest common multiple of 10 and j.
10
Let y(s) = -2*s - 9. Calculate the smallest common multiple of y(-6) and -3 + 21/((-168)/(-32)).
3
Let h = -12275 + 294671/24. Let i = 439/26 + -80/39. Find the common denominator of i and h.
24
Suppose 6*c = 232 + 2. Suppose 2*x + 6 = 0, -5*s + c = -0*s + 2*x. Calculate the least common multiple of s and 5.
45
Find the common denominator of (1*77/56)/((-7)/(-14)) and -45/32.
32
Let v = -24071/1980 - -826/55. What is the common denominator of 107/12 and v?
36
Suppose 4*w + 0*w + 23960 = 0. Let x = 119913/20 + w. Calculate the common denominator of x and 93/16.
80
Suppose 3*y - 37 = 4*h, -6*h = -5*y - 2*h + 51. Suppose 8*j - 3 = y*j. Calculate the least common multiple of j and 4.
12
Let n = -83 + 77. Calculate the lowest common multiple of 6 and (-135)/n*(-42)/(-35).
54
Let t = -28 - -20. Let m(g) = g**3 + 7*g**2 - 11*g - 8. What is the lowest common multiple of ((-45)/(-5) + 1)/((-3)/(-3)) and m(t)?
80
Let n be ((-3)/18)/(242/328). Let u = n + -95866/12705. Let t = u + 36/5. Calculate the common denominator of t and -74/9.
63
Calculate the common denominator of 7/5 and 0 + (-363)/(-96) + -2 + 0.
160
Let b(y) = 4*y**2 - 5 + 10*y + 7*y**2 + y**3 + 5. Let m be b(-10). Let a(g) = g**3 + g**2 + 14. Calculate the lowest common multiple of 16 and a(m).
112
Let t be 111/2*2 + 1. What is the common denominator of 16/28 + (-351)/t and (219/(-8))/(21/(-2))?
112
Suppose 5*j - 71 = -31. Suppose 0 = 4*i - 28 - 52. What is the lowest common multiple of i and j?
40
Let l = -24/263 - 9061/1578. What is the common denominator of l and 23/(-10) - (-2 - -1 - 1)?
30
Suppose 5*y + 2 = 122. Suppose -37 = s - 45. What is the smallest common multiple of s and y?
24
Suppose -5*n - 2*m = 4 - 102, -4*m = 3*n - 70. Suppose -45 = -v + 3*c, -5*v = -0*v - c - 169. Let i = 55 - v. What is the smallest common multiple of n and i?
198
Suppose 0 = w + 5*p - 45, -w - 8*p + 7*p + 45 = 0. Calculate the smallest common multiple of 126 and w.
630
Suppose -78*z = -35 - 589. Calculate the lowest common multiple of (-1 + 0 + 0)*-26 and z.
104
Suppose -4*r - 2903 = 2637. Let n = 5493/4 + r. Let z = -2015759/203610 + 2/20361. Calculate the common denominator of n and z.
20
Let u(d) = -d + 8. Let m be u(0). Let q be m/156*(-3)/626. Let l = q - 410965/16276. What is the common denominator of l and 9/8?
8
Find the common denominator of 47/12 and -1 + ((-826)/36)/(-7).
36
Let t be ((-7)/6)/(-7)*(19581 + 2). Let i = -3241 + t. Find the common denominator of i and -17/6.
6
Find the common denominator of -73/34 and (4 - 0) + -1*156/28.
238
Let g = 11923/975 - 388/39. Calculate the common denominator of g and (-2)/(280/(-1309)) + -4.
100
Let o be (-2)/(-1) - 1 - 26. Let i be 172/6*(-120)/o. Let q = -7518/55 + i. Find the common denominator of q and 15/4.
44
Suppose 68*n + 416 = 76*n. What is the least common multiple of 15 and n?
780
Let y(u) = -16*u - 1025. Calculate the smallest common multiple of 209 and y(-70).
1045
Let q = -233 + 1181/5. What is the common denominator of -69/325 and q?
325
Suppose -3*w + 14 = o, 2*w - 3*o = 2*o + 32. What is the smallest common multiple of 12 and w?
12
Suppose 12 = 5*u - 2*u. Suppose 1 - 65 = -u*z. Calculate the least common multiple of z and 82.
656
Suppose 2*j + 4*q - 128 = 0, -356 = -5*j - 71*q + 70*q. What is the smallest common multiple of j and 136?
1224
What is the common denominator of -3/128 and 21/(-98)*-7 + (-78)/160?
640
Suppose -3*i = 4*n - 14, 11*n - 33 = 4*i + 6*n. Calculate the common denominator of -21/8 and 1/6*2/i*-46.
24
Suppose 5*q - 2*q + 2*l - 114 = 0, 0 = 2*l + 6. What is the lowest common multiple of 70 and q?
280
Let w = -23 + 55. Let y = 211/4 + -40. Calculate the common denominator of y and 1 - 26*7/w.
16
Let c = 28 - -22. Suppose 12*n + 204 - 168 = 204. What is the lowest common multiple of n and c?
350
Suppose 95 - 123 = -14*l. Suppose -3*m - 5*z = -3*z - 11, -z = -4*m. Calculate the lowest common multiple of l and m.
2
Suppose 2*m = -f + 22, 2*f + 5*m - 100 = -3*f. Let p be -100*5*5/(125/(-10)). Let d = -188 + p. Calculate the least common multiple of f and d.
36
Let r = -1/408 + -10061/1224. What is the common denominator of r and -25/6?
18
Find the common denominator of 