 3*i + 2*i = 25. Calculate the smallest common multiple of i and a.
55
Let p = 130220601/389489 + 21303025610242495/916857106. Let t = p - 23235174. Let n = t + 33/107. What is the common denominator of 37/6 and n?
66
Find the common denominator of (-4)/(-153)*(7 + (-322)/56) and 71/3.
153
Suppose 29 = -5*t + 6*t. Let s = t - 25. Calculate the lowest common multiple of 2 and 1 - (2 - 8/s).
2
Let i be (-4*(-2)/4)/(3/78). Let s = -31 + i. Calculate the lowest common multiple of 33 and s.
231
Let c be 3 + 0 - (-87 + 4 + -1). Let m = 127 - c. Calculate the smallest common multiple of m and 44.
440
Let p = 7381/14868 + -10/413. Let d = 683153/36 + -18980. Find the common denominator of d and p.
36
Suppose 2*b + 2*v = 3*b - 6, -2*v = 3*b - 18. Suppose -5*c + b*c - 3 = 0, -j = c - 37. Calculate the lowest common multiple of j and 3.
102
Suppose -4*s + 30 = -34. Let c = -13 + s. Suppose -r + c*r - 4 = 0. Calculate the smallest common multiple of 14 and r.
14
Suppose -4*x = -5*q + 7511, 4*q = -2*x + 6*x + 7512. Let v = x + 11237/6. Calculate the common denominator of v and 119/10.
30
Let w(v) = -2*v + 2. Let t be w(4). Let z = t - -17. What is the smallest common multiple of 2 and z?
22
What is the common denominator of (-20)/140 - 914/(-126) and -19/6?
18
Let h = -14 + 8. Let c be (-644)/(-6)*h/(-8). Let f = c + -52. Find the common denominator of -97/10 and f.
10
Let p = 1475 - 11815/8. Let d(w) = 2*w**2 - 7*w + 5. Let x be d(-6). Let h = -953/8 + x. What is the common denominator of p and h?
8
Let q = 6 - -1. Let b = -14 - -14. Suppose b = 4*j + 5*g - 56, 5*g = -0*j - 2*j + 38. Calculate the least common multiple of j and q.
63
Suppose 0 = -14*o + 18*o. Suppose 4*v + o*r - 17 = 3*r, 2*r - 50 = -5*v. What is the least common multiple of v and 22?
88
Let p(y) = 13*y + 361. What is the least common multiple of 48 and p(-25)?
144
Suppose 7*p - 188 = 148. Suppose -4*z - z + p = 2*y, 5*y - 20 = 0. What is the least common multiple of z and 7?
56
Let l = 82 - -242. Calculate the common denominator of 101/120 and 2/10*(l/8 + -2).
120
Let h = 1 + 1. Let k(s) be the second derivative of -s**5/20 - s**4/6 + s**3/2 + s**2 - 4*s. What is the smallest common multiple of h and k(-4)?
22
Let d(h) = 45*h**2 - 6*h + 87. Let j be d(12). Let w = j - 52053/8. Find the common denominator of w and 23/8.
8
Let k = -328909625/248 + 1326251. Let r = 2244/31 - k. Let c = 67 - r. Calculate the common denominator of c and 35/4.
8
What is the common denominator of ((-15)/(-130))/(27/30 + -1) and -26?
13
Suppose -7*w - 16 = -3*w. Let t = -3 - w. What is the lowest common multiple of t and (-1)/((-9)/(-2) - 5)?
2
Let k = 122 + -116. Calculate the common denominator of -101/16 and 2 + (-119)/18 - k/18.
144
Calculate the common denominator of -5/78 and ((-2)/16)/((-1144)/31328).
78
Let j(i) = -i**3 + 4*i**2 + 6*i + 5. Suppose 4 = -5*k + 29. What is the smallest common multiple of j(k) and 56?
280
Let k be (0 + 9)*24/(-9). Let l = k + 122. Calculate the common denominator of -29/8 and (4/8)/((-18)/l).
72
Let l = -85 - -166. Calculate the common denominator of -101/36 and 12/(-54) - 138/l.
108
Let u = 82907/7630 + 26/763. What is the common denominator of 88 + -89 + 49/(-6) + 2 and u?
30
Let i = 20/2011 + 292919/675696. Calculate the common denominator of i and 47/98.
2352
Let z = 31 + -29. Calculate the common denominator of -1/3 and (-1565)/180 - z/(-8).
9
Suppose -22*r + 714 = -5*r. Suppose -t + 2 + r = 4*l, -28 = -4*l + 3*t. Calculate the smallest common multiple of l and 4.
20
Find the common denominator of 1/3 - (-16 + 3859/238) and -2/63.
126
Let o be 40/(-14)*(-14)/4. Find the common denominator of 53/16 and o/(-16)*(-70)/45.
144
Let q(b) = -b**3 - b**2 + 3*b. Let f be q(3). Suppose -14*w + 539 = -3*w. Let v = f + w. What is the smallest common multiple of v and 22?
22
Let y = -56245/48 + 1172. Calculate the common denominator of 5/36 and y.
144
Suppose 481 + 725 = a. Suppose -4*o = -14802 + a. Calculate the common denominator of -19/18 and (-4)/(-14) - o/(-770).
90
Let r = -45 - -110. Let t = r + -61. Calculate the least common multiple of 6 and t.
12
Let a(n) = -11*n**2 - n + 2. Let c be a(2). Let z = 115 + c. Suppose -2*o + z = 2*o + 3*y, 0 = -3*o + 4*y + 22. What is the lowest common multiple of o and 4?
28
Let r = 57 - 65. Let f(n) = -n**2 - 8*n + 4. Calculate the smallest common multiple of 10 and f(r).
20
Let l = -20 + 24. Suppose 0 = -5*n - 2*t + 188, -l*n = -4*t - 191 + 63. Calculate the common denominator of 121/10 and (-50)/n - (-4 - -1).
90
Suppose 5*f - 4 = 3*p, 3*p - 3*f = -p + 2. Suppose -p*o = 3*o + 4*c - 65, -2*c = 4*o - 52. What is the common denominator of 63/(-2) - (o + -12) and 74/3?
6
Let w(n) = -n + 5. Let c = -11 + 9. Let q(s) = -3*s + 14. Let t(l) = c*q(l) + 7*w(l). Calculate the lowest common multiple of t(-9) and 9.
144
Let l be 3/4 + (-3)/(48528/63452). Let x = 1954 + -658500/337. Let a = x - l. What is the common denominator of 31/11 and a?
66
Let d = 2523281/462980 + -2/23149. Calculate the common denominator of d and 44/5.
20
Suppose -16*d + 6*d = 560. Find the common denominator of -7*(-7)/(-24)*(-21)/d and -45/22.
704
Suppose -224 = -3*a - 2*v, -5*v + 170 = 3*a - 66. What is the lowest common multiple of 6 and a?
72
Let b = -10218 - -408657/40. Find the common denominator of b and 1/(-2)*124/(-16).
40
Let q(x) be the first derivative of -x**2/2 + 20*x + 8. What is the smallest common multiple of q(6) and 6?
42
Calculate the lowest common multiple of 96 and (-24)/(-30) - 4380/(-25).
1056
Let n be (0 - 8)/2 - 1. Let d = -40 - -29. Let h = n - d. What is the smallest common multiple of h and 22?
66
Let y = -33/1943 - 14037/1943. Let c = y + 382/261. What is the common denominator of 8/20 - (-2601)/135 and c?
9
Suppose 0 = 4*l - 4*i + 5*i - 11, 0 = l + 5*i - 17. Suppose -18 = l*p - 5*p. Calculate the smallest common multiple of 2 and p.
6
Find the common denominator of (-73)/(-72) - 81/(-162) and -115/36.
72
Suppose -4*l = 3*l + 7. Let p be -77*(l - (1 - 3)). What is the common denominator of p/(-3)*48/64 and -51/8?
8
Let l = 4 - 2. What is the smallest common multiple of l and (-357)/(-153)*(-180)/(-21)?
20
Suppose -3*p + 9 + 3 = 0. Let j = -1853 + 1856. What is the smallest common multiple of p and j?
12
Suppose 0 = 2*s + 1955 + 2543. Let m = 27017/12 + s. Calculate the common denominator of -109/24 and m.
24
Calculate the common denominator of 23/4 and ((-86)/(-180) - 1/2)*59.
180
Find the common denominator of 49/9 and (4/70)/(12/147).
90
What is the common denominator of 33/7 and 1/(-4)*(-142)/6?
84
Let q be (-24)/(-8) + 1 + -14. Let t(y) = 8*y + 2. Calculate the common denominator of (158/q)/((-2)/(-5)) and t(-4).
2
Let k = -817/58944 + -129/614. Calculate the common denominator of k and -29/48.
192
Suppose 12*c - 10 = 7*c. Suppose -4*z + 10 = -5*x, -4*z + c*x + 4 = z. Calculate the common denominator of z + 108/(-104) + -2 and 67/6.
78
Suppose 5*k - 5 = 5. Let f = 16 + -10. What is the common denominator of (-1)/k + 3/f and -41/10?
10
Let w(y) = y**2 + y. Let z be w(2). Suppose 3*f - 33 + z = o, -5*f - o = -53. What is the lowest common multiple of 7 and f?
70
Suppose 0 = -5*r - 3*n - 421, 157 = -r - r - 5*n. Let b = -31084/9 - -3458. Calculate the common denominator of b and (-238)/(-20) - (-43)/r.
45
Calculate the common denominator of 10674/(-4536) - 15/(-21) and 29/108.
108
Let o be ((-5)/(-70))/(1/660). Let m = 5007/112 - o. Let x = -388 + 4661/12. What is the common denominator of x and m?
48
Let d(u) = -2*u**3 - 48*u**2 - 49*u - 67. What is the least common multiple of d(-23) and 454?
454
Let s be (20/8)/((-2)/(-4)). Suppose 0 = 5*w + 10 + 15, -10 = v + s*w. What is the lowest common multiple of 15 and v?
15
Let h = 4 + 6. What is the smallest common multiple of 2 and (-3)/(-15) + 8/h?
2
Let m = 21851/4 - 262087/48. Calculate the common denominator of m and -3/80.
240
Let p(g) = -g**2 + 10*g - 9. Suppose 4*f + 33 = 3*q, -4*q - 32 = -9*q - f. What is the lowest common multiple of p(q) and (110 - 103) + 1 + 24/2?
60
Let l(a) = a**2 - 12*a + 10. Let w be l(10). Let j be (12/w)/(-3)*-10. Let g = 8 - j. Calculate the smallest common multiple of g and 4.
12
Let n = 7523801761981/7746 - 971314470. Let l = n - 1/1291. Find the common den