- 2) + c. Suppose -g = -3*t + 20. Calculate the lowest common multiple of t and 10.
10
Let d = -55373/1848 - -1337/44. Find the common denominator of -41/42 and d.
168
Suppose -41*k + 210 = -27*k. Calculate the smallest common multiple of 12 and k.
60
Let h = 87 - 2. What is the least common multiple of 55 and h?
935
Suppose -4*r + 5 = 3*y, -2*r + 5*y - 2*y + 25 = 0. Calculate the smallest common multiple of r and 12.
60
Suppose -3*w - 2 + 18 = -5*h, -2*h = 2*w. Suppose -4*y = -w*q + 8, 2 = 3*q - 2*y - 26. Calculate the lowest common multiple of 36 and q.
36
Let z = 37 + -27. Suppose 11*v - 3*v = 360. Calculate the least common multiple of v and z.
90
Let p = -4401/2 + 2159. Suppose 2*c - 3*m = m + 3122, -5 = -5*m. Let t = c - 31293/20. Calculate the common denominator of p and t.
20
Let d = -31 + 39. Let c be 32/18 - (-4)/18. Suppose c*m = -3*o + 4*m + 7, -3*m + 12 = 0. What is the least common multiple of o and d?
40
What is the common denominator of (500/2505)/(6 - 80/12) and -7?
167
What is the lowest common multiple of 36 and (40/14)/(500/(-42) - -12)?
180
Suppose -g = -3*p - 11, -12 = -5*g - 3*p + 25. Suppose 8*r - 3*r + 1252 = y, 0 = r + y + 254. Let k = -231 - r. What is the smallest common multiple of g and k?
40
Let q = -2/1445 - 1213/578. What is the common denominator of -70/3 and q?
30
Let c(d) = 216*d - 46. What is the smallest common multiple of 6 and c(3)?
1806
Let w be 2 + 2*(-5 + 4). Suppose w = -5*m - 5*z + 95, 3*m - 3*z - z = 36. Calculate the lowest common multiple of m and 8.
16
Suppose -4*y = -70 + 86. Calculate the common denominator of 69/10 and y - (-3 - 116/204).
510
Suppose 13 = 14*h - 29. Suppose 0 = h*j, 0 = -4*u - 3*j + 66 + 94. Calculate the lowest common multiple of 4 and u.
40
Suppose 46 = -11*g + 1212. Let l = 11 + -7. What is the lowest common multiple of g and l?
212
Suppose -118 = -t - 0*t + 2*r, -3*r - 114 = -t. Calculate the common denominator of -89/8 and 3 - (-4 + t/20).
40
Suppose -2*x + 4*h + 4 = 0, 0 = x - 4*x - 2*h + 38. Calculate the smallest common multiple of x and (-340)/(-17) - (15/3 - 1).
80
Let r be ((-32)/(-20))/((-8)/20). What is the common denominator of (-910)/(-4)*r/(-40) and -19/6?
12
Let q be 0 + 4 - (-5 - 3)/4. Calculate the lowest common multiple of 158 and q/(-36) + (-37)/(-6).
474
Let g = 7385 + -66532/9. Calculate the common denominator of g and 2*(-340)/(-56)*(-2)/(-5).
63
Suppose 17 - 71 = -3*s. Suppose a = -2, 2*f - s - 18 = -2*a. What is the smallest common multiple of f and 28?
140
Suppose 4*f = f. Suppose -4*g + 4*l - 112 = f, 54 + 90 = -5*g + 4*l. Calculate the common denominator of 77/12 and (876/g)/(9/(-4)).
12
Let m be (-2 + (-84)/(-40))/((-302)/(-8)). Let c = 51346/2265 - m. What is the common denominator of c and -31/9?
9
Suppose 4*t = t + 3. Calculate the common denominator of -3/2 and 6/(t + 20/44).
8
Calculate the common denominator of (-1468)/(-120) - 14/2 and 115/162.
810
Let j = -4579/5364 + 330/149. Find the common denominator of j and -11/60.
180
Suppose 0 = 5*j, -u + 5*j - 6 = -3*u. Suppose 0 = -u*d, q = -0*q - d. What is the lowest common multiple of 2/(-2)*(q + -1) and 8?
8
Let s = 32 - 30. What is the least common multiple of 20 and s*-1 + 11 + -7?
20
What is the common denominator of (34/(-42) + 0)/(172 - 163) and -83/84?
756
Suppose 4*o + 4*l - 1428 = 0, -18*l + 17*l - 3 = 0. Calculate the least common multiple of o and 2.
360
Let p = -253 - -392. Suppose p = 4*y + s, 5*y - 106 = 5*s + 99. Find the common denominator of (-283)/(-144) - (-8)/y and 13/18.
144
Let w be ((-10)/(-65))/(-1) + 15021/39. What is the common denominator of ((-56)/w)/((-2)/20) and -28/11?
11
Let n = -11 + 15. Find the common denominator of 44/9 and (-2)/(-6) - 23*n/(-36).
9
Let b(k) = -8*k - 16. Let g be b(-1). Let u = -3 + 1. Calculate the common denominator of -83/12 and 4/8 + u/g.
12
What is the common denominator of (-352)/(-84) + 6/9 - 3 and -53/11?
77
Let b be (-1)/(0 + 0 + -1). What is the least common multiple of (2 - b)/((-6)/(-24)) and (3 - 4) + (0 - -9)?
8
Let c = 36 + -409/11. What is the common denominator of (-10)/(-50) + 331/20 and c?
44
Suppose -4*p = 5*h - 8*p - 68, 54 = 5*h + 3*p. Calculate the smallest common multiple of 24 and h.
24
Suppose 5*p + 10 = 35. Suppose p*b + 47 = 4*w, 7*w + 3*b = 2*w + 68. Calculate the lowest common multiple of w and 3.
39
Let m = 7941107064961/72 - 110288817756. Let y = m + -4335991. Let h = -496/9 - y. Find the common denominator of 91/12 and h.
24
Suppose x + 11 = t, 2*t = -0*x - x + 10. Suppose -10*y + t = -13. Calculate the lowest common multiple of 18 and y.
18
Let t = 15118 - 3960911/262. Let m = 12945/8122 + t. Let d = -542/279 - m. Calculate the common denominator of 22/3 and d.
9
Suppose 3*l = -0*l - 39. Let v = l + 16. What is the common denominator of (-1)/8*(-86)/v and -49/4?
12
Suppose 14 = 2*t + 7*y - 6*y, y + 22 = 2*t. Let m = 1 + 1. Calculate the least common multiple of m and t.
18
Suppose 3*r + 4*h = 622 + 162, 0 = -r - 2*h + 264. What is the smallest common multiple of r and 2?
256
Let f = 6 - 0. Calculate the least common multiple of 8/12*(22 + -1) and f.
42
Let d = -2659/7 + 757/2. What is the common denominator of -37/2 and d?
14
Let h be ((-12)/5)/(66/(-20) - -3). What is the smallest common multiple of 3/(-6) + -5*(-20)/h and 6?
12
Suppose 10*p - 267 = -3*z + 11*p, -2*z + p = -179. What is the least common multiple of z and 28?
616
Let s(q) = 3*q**2 + 7*q + 8. Let x be -6*10/15 + 2. What is the smallest common multiple of s(x) and 72?
72
Let x = 3 - -48. Suppose 2*w - x = -w. Suppose 4*m + 5 - w = 0. What is the smallest common multiple of 8 and m?
24
Let t = 359089/56 + -6412. What is the common denominator of t and 30/7?
56
Let f(p) = -p**3 - 4*p**2 - 3*p + 4. Let k be f(-4). Suppose 0 = -4*r + 28 + k. What is the smallest common multiple of r and 1?
11
Let i(f) = -f**3 - 5*f**2 - 6*f - 66. Calculate the least common multiple of 4 and i(-6).
12
Let m be (-2)/(-3 + 58/18). Let g be 1162/8 - (m + 11). Let h = g + -164. What is the common denominator of h and -61/9?
36
Let o(s) = 33 - s**2 + 16*s - 2*s**2 - 29 + 7*s**2. Calculate the smallest common multiple of o(-4) and 14.
28
Let v(j) = -j**3 + 22*j**2 - 37*j - 52. Calculate the smallest common multiple of v(20) and 12.
24
Let a = -6 - -4. Let f be 1/a*-1*4. Calculate the common denominator of -25/16 and -2 - (-65)/f - 3.
16
Let t be 4/(-10) - (-224)/10. Let m = 2499/5 + -1017/2. What is the common denominator of m and t/24 - 2/(-3)?
60
Let p = -31 + 53. Suppose 4*c - 81 = 127. Calculate the least common multiple of p and c.
572
Let z = 61 - 60. What is the common denominator of 11/26 and (z - 0) + (-280)/(-144)?
234
What is the lowest common multiple of 4/(7/22 + (-58)/(-319)) and 19?
152
Let l(i) = i - 1. Let f be l(6). Let c be (f/10)/(2/(-56)). What is the common denominator of -95/18 and 109/21*c/(-12)?
18
Let t be (2/49)/(160/(-6)). Let y = t - -69631/33320. Let z = 1022963/42 - 73054/3. What is the common denominator of z and y?
238
Calculate the least common multiple of 24 and 84/(-9)*2*(-135)/18.
840
Suppose -90 = -a + 366. Let z be (51/a)/((-6)/856). Let o = z + -4/19. Find the common denominator of o and -38/7.
42
Suppose -3*x - 4*f - 115 = 0, -2*x + 3*f = 2*x + 120. Let d = x - -9. What is the common denominator of d and (-62)/18*(0 + -2)?
9
Calculate the common denominator of 23/9 and -6 + 632/64 - -5.
72
Let q = 2/309 + -2171/1236. Suppose -6*h = -2*h + 100. What is the common denominator of q and 2 - 2/6*h?
12
Let a be (-896)/(-12)*(-18)/(-332). Let m = a - 1475/1328. Calculate the common denominator of m and (693/14)/(-1)*(-2)/6.
16
Let x(p) = 3*p - 12. Let b be x(2). What is the smallest common multiple of ((-2)/(-6))/((-1720)/288 - b) and 8?
24
Let r = 2/122655 - -30877/196248. Calculate the common denominator of r and 83/18.
6120
Let p(n) = -9*n**2 + 2*n - 1. Let a(q) = -10*q**2 + 3*q - 2. Let u(r) = 2*a(r) - 3*p(r). Let d = -15 + 33. What is the smallest common multiple of u(1) and d?
18
Let n = 180 + -67. Suppose -2*c - 17 = -n. What is the least common multiple of 6 and c?
48
Let f(t) be the third derivative of t**5/60 + 5*t**4/12 + 7*t**2. Let a be f(-12). Find the common denominator of (-8)/(-6)*11/a and 109/18.
18
Let a be (-6)/