.
18
Suppose -5*r = 4*q + 8, -q + 5*r = 4*r + 11. Let u(z) = 13*z + 100. Calculate the lowest common multiple of 24 and u(q).
72
Let a = 30345383/21 + -1448946. Let v = a + 3924. Calculate the common denominator of -61/70 and v.
210
Let h = 4/18961 - -1839017/948050. Calculate the common denominator of h and ((-522)/(-120))/(12/5).
400
Let h = 15 - 10. Suppose 2 + h = s. Suppose p = -20 + 18, 25 = 3*z + 4*p. Calculate the smallest common multiple of s and z.
77
Let p = -15 + -2. Let d = p + 33. Suppose 0 = -3*z + 13 + 17. Calculate the smallest common multiple of z and d.
80
Let a(w) = 4*w**2 + 6*w - 46. Let j be a(-5). Suppose -13*p + 2 = -j. Calculate the smallest common multiple of p and 10.
10
Let v = -9 + 12. Calculate the lowest common multiple of 66/v + (-32)/8 and 3/(9/(-10))*(-72)/20.
36
Let f = -84 - -50. Let y = 12 + f. Let d = -10 - y. What is the least common multiple of 6 and d?
12
Find the common denominator of (32/(-1456))/((-1)/7) - (-691)/663 and -59/12.
204
Let o(x) = 3*x - 18. Let m = -164 + 176. Calculate the least common multiple of 1342 and o(m).
12078
Suppose -4*x = -d + 102, 3*d + 3*x = -x + 274. Suppose -r + 7 = 2*p, d = 5*r - 5*p - 16. Suppose 12*l + 40 = r*l. What is the least common multiple of 4 and l?
8
Let m = 8420 + -8369. What is the lowest common multiple of 510 and m?
510
Suppose 4*c - 164 = -w, -13*w + 8*w + 760 = 5*c. Find the common denominator of (-1177)/w - (0 - 8) and (1/(-44))/(3/654).
1628
Let x(f) = -6*f - 2. Let p be x(-2). Suppose p*s - 3*s + 189 = 0. What is the common denominator of (-39)/s*42/(-10) and 49/81?
405
What is the common denominator of 807/36 + (-32)/(-4) + 49/(-6) and -73/1308?
1308
Let v = -1667/3650 + -9/73. Find the common denominator of (-2 - -3) + (-11)/(-30) and v.
150
Suppose -464*d + 206858 = -45*d + 45962. Calculate the least common multiple of 768 and d.
768
Let a = 2128 + -1507. Calculate the smallest common multiple of 39 and a.
8073
Suppose 0 = -2*u + 4*p + 286, -897*u + 902*u = 2*p + 715. Calculate the least common multiple of 832 and u.
9152
Let d = -1016 + 5071/5. Calculate the common denominator of d and 2/12*128 + -1.
15
Let i = -909 + 986. What is the smallest common multiple of i and (198/27)/(8/(-108)*-3)?
231
Let l(t) = -t**3 + 28*t**2 + 426*t - 19. Suppose v = 3*v - 40. Calculate the smallest common multiple of v and l(-11).
140
Suppose -5*l = 2 - 27. Let r(g) = g**2 - 5*g - 42. Suppose -10 = 3*w + 5. Calculate the lowest common multiple of l and r(w).
40
Find the common denominator of -47/1386 and (1/(-306))/((10/(-30))/((-29)/(-7))).
23562
Suppose -27*d + 400 = -7*d. Suppose 2*f = -4*v + 28, 0*v = 5*f + 4*v - 40. Calculate the lowest common multiple of f and d.
20
Suppose -4*h + 15 = -21. Suppose -n - 5*j + 28 = -3, 17 = 2*n - 5*j. Let x = n - h. Calculate the least common multiple of 10 and x.
70
Suppose 5*q - 43 = 3*u, 4*u = -q + 15 + 12. Let j be (q/6)/11 + (-239)/188. Let g = j + -234/47. Calculate the common denominator of 31/12 and g.
12
Suppose 10 = -3*m - 0*m + 4*w, 0 = 4*m + 4*w + 4. What is the common denominator of ((-28)/24)/(m/20) and 101/6?
6
Find the common denominator of -43*2/36 + 2 and 14/161 - (17 - 4822/92).
18
What is the lowest common multiple of (-185)/74 + (0 - (-274)/4) and 4 + -2 + 1 + 57?
660
Let m = 58 + -68. Let v be 6*(14/m + 18/45). Find the common denominator of 2/v - (-831)/144 and -19/20.
80
Let h(q) = -q**2 + 7*q - 4. Let o = 4 - 12. Let w(z) = -4*z - 27. Let d be w(o). Calculate the smallest common multiple of h(d) and 15.
30
Let q be (-2)/21*-1454*189/(-14). Let j = 1862 + q. What is the common denominator of 107/1066 and j?
7462
Let i(n) be the second derivative of 2*n**3/3 + 15*n**2/2 - 11*n + 1. Calculate the smallest common multiple of 9 and i(0).
45
Let n = -19/4488 + -515/79288. What is the common denominator of n and -22/153?
8109
Find the common denominator of 23 + -23 + (-242)/8844 and 7/80.
16080
Let r be (-22 + 22)*2/2. Suppose -o = 25*k - 29*k + 143, r = 3*k - 2*o - 106. What is the smallest common multiple of k and 45?
180
Let v = 7409/8 - 936. Let w = 147 + -161. Calculate the common denominator of 8/(-39)*189/w and v.
104
Suppose 1066 = -3*h - 3701. Let j = 12675/8 + h. Find the common denominator of (-15)/(-9)*(-54)/(-8) and j.
8
Let l = -2760419/57 + 48427. Find the common denominator of -14/1833 and l.
34827
Let s(d) = -d**2 + 5*d - 2. Suppose 2*o - 2 = u - 1, -3*o - 9 = -5*u. What is the lowest common multiple of s(o) and 15*(-1)/(-9) + (-220)/(-60) - 7/3?
12
Suppose 2*d + 3*x + 28 = 4*d, -d - 4*x - 8 = 0. Suppose 0 = -9*k + d*k - 224. Calculate the least common multiple of 4 and k/(-4)*1/2.
28
Let n = -20200/11 + 1835. Let f be (6/4)/((-10)/28). Let c = f - 6. Calculate the common denominator of n and c.
55
Let i = 931/1784 + 23/223. Find the common denominator of i and 15/1681.
13448
What is the smallest common multiple of 25 and 8 + (-12 - -160) + 14?
850
Suppose -6*v + 3*v + 2*a = 11, 4*a - 11 = -5*v. Let c be 1 + (4 + v - -7539). Let g = 45131/6 - c. Find the common denominator of -63/4 and g.
12
What is the smallest common multiple of 144 and (221/26)/(5/(-480)*-2)?
2448
Let i = 28/11 - 441/143. Let w be (-21)/(-2)*(-8704)/(-48). Let r = w + -7693/4. Calculate the common denominator of i and r.
52
What is the common denominator of 77/16 and 54/(-1260)*51190/444 + 5?
4144
Suppose -2*b = 4*u - 8, -4*u = 2*b - 6*u - 38. Calculate the common denominator of 133/b + 3/1*-1 and 43/7.
14
Let p(b) = 16*b**2 + 2*b - 10. What is the lowest common multiple of 1540 and p(3)?
1540
Suppose -5*x + 204 = 2*h, 692*x - 444 = -4*h + 688*x. What is the smallest common multiple of h and 297?
3861
Suppose q = -4*q + 30. Suppose -18*c + 23*c = 990. Suppose 0 = -2*u - 4*u + c. Calculate the smallest common multiple of q and u.
66
Let a(t) = -t**2 - 52*t + 1064. Let p(k) = k**3 + 11*k**2 - k + 41. Calculate the lowest common multiple of a(-66) and p(-11).
1820
Let z = 1678 + -1073. What is the lowest common multiple of z and 121?
605
Let h = -2/18057 - -206659/60190. Calculate the common denominator of -121/1638 and h.
8190
Suppose 9*u = 925 + 1091. Suppose -2*r = -3*z - u, -35*r + 37*r = -4*z + 196. What is the lowest common multiple of r and 16?
848
Let y = -114 - -360. Suppose -13*o + y = -40. Calculate the least common multiple of o and 74.
814
Let m = 366551/16070304 + -1/210528. What is the common denominator of m and -23/99?
22671
Let w be (-1739066)/180 + (-8)/36. Let r = -9673 - w. Let n = 203847/16 + -12736. Find the common denominator of n and r.
80
Suppose u + 9*u = 280. Suppose 0 = 2*s - z - 8, -z - 19 = -4*s - 1. Suppose -20 = -4*f, -s*f = -2*h - 7 - 10. Calculate the lowest common multiple of u and h.
28
Let f be (-132)/(-36) - 2/3. Suppose 96 + 63 = 3*o - f*c, -2*c + 144 = 3*o. Suppose z = 2*z - o. Calculate the smallest common multiple of 18 and z.
450
Find the common denominator of 150/144*(-6)/260 and 115/572.
2288
Let x = -517442122 - -807154631. Let k = x + -1010517220631/3488. Let m = -510/109 + k. What is the common denominator of -5/8 and m?
32
Let g = 463 - 455. Find the common denominator of 154/g*156/910 and 79/10.
10
Let b = -137 - -195. Suppose -k + 20 = b. Let v = -22 - k. Calculate the lowest common multiple of v and 18.
144
Suppose 0 = 4*q + p + 3, -4*p = 5*q + 12 - 0. Suppose q = -6*v - 7 + 19. What is the common denominator of 369/(-162) + v/(-12)*-8 and 43/21?
126
Let p = 63 - 118. Let b = 43 + p. Let o = 47 + b. Calculate the least common multiple of 35 and o.
35
Let n = -12407/957 + 354/29. Calculate the common denominator of -89/336 and n.
3696
Let g = 20951031341/82 - 255504919. Suppose i = -2*i + 5*v - 13606, 5*v = -4*i - 18153. Let h = g - i. What is the common denominator of -49/6 and h?
246
Calculate the lowest common multiple of (402/(-5))/(296/(-740)) and 3.
201
Suppose 0 = -y - 2*d - 6, 0*y = -y + 2*d + 10. What is the common denominator of 101*(y - 23/12) and (52 - 36) + (-21)/(-18)?
12
Let t = -304109/56 - -5429. Calculate the common denominator of 3/308 and t.
616
Suppose 16*b - 14 = 9*b. Suppose y + b = a, -2*y - 1 - 5 = -4*a. What is the least common multiple of 61 and a?
61
Let f = 226 - 192. Let k(j) = -j**3 + 35*j**2 - 33*j + 76. Calculate the smallest common multi