- 2*f. Let d(y) = 2*y**2 - 11*y + 13. Let a(k) = -k + 1. What is the least common multiple of d(i) and a(-5)?
114
Suppose -g + 32 = -3*k, -20 = -0*k + 5*k. Suppose -5*u = -3*x + 35, 0*u + 13 = x - 2*u. Suppose x*q - q = 64. Calculate the least common multiple of g and q.
80
Let a be (-1 + -20)*(-11)/33. Suppose -a*x + 4*x = 108. What is the common denominator of 17/5 and ((-9)/(-12))/(x/776)?
30
Let d(f) = 2*f + 25. Let c(h) = -h**2 - 3*h + 10. Let b be c(3). Calculate the least common multiple of 10 and d(b).
90
Let d be 9*(-2 + 7/3). Suppose 2*q + 4*a = 66, -d*q + 7*q - 80 = 5*a. Let g = -72019/14 + 5147. Find the common denominator of q and g.
14
What is the smallest common multiple of 196*(10/(-15))/(14/(-36)) and 63?
1008
Let x = 623/5 + -7301/60. Let f = -4889/248 - 9/248. Calculate the common denominator of x and f.
12
Let x = -587/210 - -2/21. Let t = -2500 - -823. Let g = t - -8328/5. Find the common denominator of g and x.
10
What is the common denominator of -61/6 and 1890/(-7776) + 1/(-16)?
36
Let s be -3 - (-17 + 8/2). Calculate the lowest common multiple of 3 and (0 - 25)/(-5) + s.
15
What is the common denominator of (-5 - (-32)/6) + -5 and 31/216?
216
Suppose 3*t - 1 = 32. Let l = -31 + t. What is the lowest common multiple of (24/l)/(3/(-50)) and 18?
180
Let o(v) = -15*v**2 + 3*v - 2. Let b be o(-3). Let m = b + 986/7. Find the common denominator of m and (-10)/35 - ((-190)/77 - 2).
77
Let q = -11 + 11. What is the least common multiple of 6 and (-1)/(q - 1/11)?
66
Let l = -43/3 - -145/9. Calculate the common denominator of l and -41/186.
558
Suppose 3*i + 2*i + n = -47, 0 = -i - 4*n + 2. Let x = i + 14. Let f(s) = -s**2 - 5*s + 8. What is the smallest common multiple of x and f(-6)?
4
Let y(d) = 17*d + 246. Calculate the smallest common multiple of y(-9) and 93.
93
Suppose 4*b - 5*n - 239 = 0, 2*b = n + 63 + 52. Calculate the smallest common multiple of b and 26.
728
Let l = 81323843/12 - 6758740. Let g = l + -18257. Find the common denominator of g and 71/18.
36
What is the lowest common multiple of 65 and (-30)/168*-292 - (-2)/(-14)?
260
Let f = -29486 - -3184433/108. Find the common denominator of f and 80/21.
756
Let h(g) = -11*g - 105. Calculate the smallest common multiple of h(-25) and 12.
1020
Let g = -7 + 51. What is the least common multiple of g and 12?
132
Let u be (-10)/(-20) + (-3)/(-2). Suppose -u*i + 3 = -1. Let r = 70 + -50. What is the lowest common multiple of i and r?
20
Let y = 38645/12 + -3214. Let o = 8617 - 181012/21. What is the common denominator of y and o?
84
Suppose 223 = o + 235. Calculate the common denominator of -143/246 and o.
246
Suppose -8*d + 3*v = -6*d - 97, 0 = 4*d - 3*v - 185. Calculate the smallest common multiple of d and 12.
132
Let v = 1081 - 6457/6. Let w = -2143/126 - -142/7. What is the common denominator of v and w?
18
Suppose -15*b = 11*b - 4*b - 44. Suppose -2*i + d - 9 = -23, -2 = -d. What is the smallest common multiple of i and b?
8
Suppose -28*w + 2108 + 43420 = 0. What is the least common multiple of 2 and w?
1626
Suppose 2*g + 3 = 3*g. Suppose -x - 2*p + 7 = 0, 0*x + 17 = 4*x - g*p. Suppose -x*y + 18 = -22. Calculate the least common multiple of 8 and y.
8
Suppose -2*s - 8 = -j, 2*j + 6*s - 2 = 3*s. Suppose -3*a = -2*a - j. What is the least common multiple of 16 and a?
16
Let u(j) = 52*j + 4. Let p be u(3). Find the common denominator of ((-26)/65)/(6/p) and 61/2.
6
Let i(b) = b**2 + 21*b + 10. Let c be i(-21). Calculate the common denominator of (-6)/15*150/14 and c*5/270 - 3.
189
Suppose 0 = -1667*g + 1659*g + 880. Calculate the lowest common multiple of 190 and g.
2090
Suppose 4*q + w + 305 = 8*q, 4*w = -4*q + 320. Calculate the least common multiple of 49 and q.
539
Let r = -1 + 13. Let t be (-1176)/(-36) + (-2)/(-6). Suppose 8*b = t + 79. What is the least common multiple of r and b?
84
Suppose 0 = -5*r - 4*f + 14, 24*r + 20 = 28*r + f. What is the least common multiple of 3 and r?
6
Let n(q) = q**2 + 27*q - 102. Calculate the lowest common multiple of 4 and n(-31).
44
Let p(b) = -b**3 + b**2 - b. Let z be p(-3). Find the common denominator of z/(-60)*36/33 and 1/45.
495
Suppose 21*x + 67 = 23*x + u, -3*u = 4*x - 129. What is the smallest common multiple of 282 and x?
1692
Let i = -4/91 - 3541/182. Calculate the common denominator of i and 39/20.
20
Let b = -22 + 54. Let n = 6 - b. Let o = n - -48. Calculate the least common multiple of o and 22.
22
Let r(y) = -y**3 - 29*y**2 + 31*y + 44. Let a be r(-30). Calculate the smallest common multiple of 4 and -251*(-2)/a + 5/35.
36
Calculate the least common multiple of -3*(-2 + 55/11) + 51 and -6*2/3*-2.
168
Calculate the common denominator of -57/28 and (2952/(-154))/4 - 132/(-33).
308
Let y = -283405919/171294 - 2/85647. Let z = y - -14849/9. Calculate the common denominator of ((-1)/(-12))/((-3)/(-74)) and z.
18
Suppose -3*w - t + 14 = 0, 0*w + 12 = 2*w + 2*t. Let b = w + -2. What is the smallest common multiple of (0 - b)*8/(-4) and 12?
12
Suppose -18 - 66 = -4*k. Let t = 13 - k. Let c = -5 - t. What is the smallest common multiple of 7 and c?
21
Suppose 0 = -2*s - 141 + 41. Let l = s + 71. Calculate the common denominator of l/(-6) + 2/(-3) and 51/14.
42
Suppose 3*p - 6 = 0, -t - 4*p + 6 = -2*t. Let c(v) = 2*v**2 - 5*v + 3. Let y be c(1). Let g = t + y. What is the lowest common multiple of 3 and g?
6
Find the common denominator of -149/882 and (8 - (-819)/(-104))*(-452)/(-3).
882
Let z = 8699/7964 + -1/724. Let d be (2 - 4)/(-1) + -72. Calculate the common denominator of (1/3)/(d/408) and z.
385
Let u = -236/859 + 107321/206160. What is the common denominator of u and 113/138?
5520
Let f = 20/969 + -58313/149226. What is the common denominator of f and 3/8?
616
Let i = -502 - -507. What is the lowest common multiple of 40 and i?
40
Suppose -3*v + 750 = 7*x, -3*x = 6*v - 10*v + 963. Calculate the lowest common multiple of v and 33.
2673
Let u = 20469/14 + -1460. Find the common denominator of u and ((-166)/(-6))/((-16)/6).
56
Let i = -3 - 5. Let a = 22 + i. What is the least common multiple of -1 + 1 - 17/((-51)/30) and a?
70
Suppose -8*c = -261 + 69. What is the common denominator of 13/14 and 4/14*450/c?
14
Suppose 2*n + 0*n - 20 = -4*u, -4*n + 3*u - 4 = 0. Suppose -3*b = n*b - 80. What is the common denominator of 0 and b?
1
Let g = -1049627/48 - -21868. What is the common denominator of -37/18 and g?
144
Suppose -5*b + 2*s + 214 = 0, s - 38 = -5*b + 170. Calculate the smallest common multiple of 91 and b.
546
Let x be 18/2 - (11 - 14). Suppose x + 8 = 5*z. Let v(a) = a + 2. Calculate the lowest common multiple of v(z) and 1.
6
Calculate the least common multiple of 60 and (8/(-6))/((-114)/855).
60
Calculate the common denominator of 119/18 and (-21)/(-144)*26 - -2.
72
Suppose 0 = -2*w + 4, 4*v + 6*w = 8*w + 12. What is the smallest common multiple of ((-2 - -6) + -1)*2 and v?
12
Calculate the lowest common multiple of 1310 and 9/1 - (-675)/75.
11790
Let m = -183343806607/115644 + 36464738/23. Let k = 2/1257 + m. Let u = -370931/125780 - 6/6289. What is the common denominator of u and k?
20
Let c be -1 + -2 + 2 + 1. Suppose -4*k + 108 = -c*k. Suppose k = 3*l - 3*s, l + 0*l - 1 = 5*s. Calculate the smallest common multiple of 6 and l.
66
Suppose 3*j + z = 4, 9 = 5*j - 4*z - 9. Let f(n) = n**3 + 2*n**2 - 5. What is the least common multiple of f(j) and ((-4)/6)/((-3)/27)?
66
Let k = -74 - -13. Let a = k + 91. Calculate the lowest common multiple of 9 and a.
90
Let m = 9200/21 - 437. Find the common denominator of m and -53/27.
189
Let v = 121 - 109. Let u = 1 + -1. What is the smallest common multiple of v - (2 + u/1) and 6?
30
Let h be (2/10)/((-12)/303130). Let b = h - -5065. Calculate the common denominator of 85/158 and b.
474
Let f = -1039639/35 - -29702. Calculate the common denominator of f and -41/7.
35
Let q be -6 + -3 - 23920/(-32). Let u be -716 - 1*(0 - 1). Let d = q + u. Calculate the common denominator of 45/11 and d.
22
Suppose -3*f - 316 + 286 = -5*w, 2*w - 5*f = -7. Calculate the least common multiple of 48 and w.
144
Let m(j) = j**3 - 11*j**2 + 14*j - 14. Let t be m(10). What is the lowest common multiple of 11 and (-1 + 0)/(t/(-520))?
220
Calculate the common denominator of 0 - 1*(-102)/16 a