2562. Find the common denominator of -1/2 and k/(-65) + (-28)/c.
10
Calculate the least common multiple of (-10)/25*15/(-2) and 12.
12
Suppose -8*m + 1 = -71. Let s(i) be the first derivative of 3*i**2/2 - 3*i - 1. What is the smallest common multiple of s(4) and m?
9
Let k = -369023/80 - -4613. Find the common denominator of k and -57/112.
560
Let q(j) = j**2 + 7*j + 3. Let d(o) = o**2 + 18*o + 37. What is the least common multiple of d(-16) and q(-7)?
15
Suppose 0 = -5*z - 4*r + 854, -z + 336 = z - 4*r. Find the common denominator of (z/35 + -4)*86/(-18) and -20/33.
231
Suppose -5*k - 4 = 4*v, 0*v + 2*v - 12 = k. Suppose -a + v*x - 68 = -4*a, 5*a + x - 85 = 0. Calculate the lowest common multiple of 2 and a.
16
Let t = 42857806 + -771207509/18. Let y = 12952 - t. Find the common denominator of -101/2 and y.
18
Let o be (-1)/90*21768/(-112). Let t = -1/42 - -1/140. Let q = t + o. Find the common denominator of -34/5 and q.
35
Suppose 7 = 2*d - 83. Let i = d - 28. Suppose 3 + i = b. Calculate the smallest common multiple of b and 6.
60
Let m(y) = -4*y**2. Let b be m(2). Let v = -16 - b. Suppose -x + 0*x + 1 = v. What is the least common multiple of x and 4?
4
Let k be 1 + -3 + 7 + -5. Suppose -4*i + 2*r - 2 = k, -i - r + 1 + 6 = 0. Calculate the lowest common multiple of 2 and i.
2
Let i = 205 + -201. Calculate the lowest common multiple of i and 14.
28
Calculate the lowest common multiple of (-32 - -36) + 1*24 and 36.
252
Let d = -5753/984 - -58/123. What is the common denominator of d and -95/12?
24
Let h = 273304 - 49194881/180. Find the common denominator of 11/180 and h.
180
Suppose 17 = 2*b + f, -48*b + 2*f - 4 = -47*b. Calculate the smallest common multiple of 35 and b.
210
Suppose -1770 = -3*y + y. Suppose 209 = -4*k + y. Calculate the common denominator of 2/(-8) - k/52 and 31/14.
14
Let c(j) = -22*j + 1. Let s be 10/(-8) + 8/32. Let f be c(s). Let m = 45 - f. Calculate the lowest common multiple of m and 22.
22
Let f(m) be the second derivative of m**4/12 + 5*m**3/6 + 2*m**2 + 3*m. What is the smallest common multiple of f(-5) and 20?
20
Let m = -1380 - -8327/6. Calculate the common denominator of m and 59/14.
42
Let w = -9/1917145 + -528355576131/30674320. Let t = -17231 - w. Find the common denominator of t and ((-162)/264)/((-6)/4).
176
Let g = 1 + -1. Let h = -8513/66 + 1296/11. Calculate the common denominator of 26/(-6)*(g - -1) and h.
6
Find the common denominator of 79/4 and (1/100)/((-4)/530).
40
Suppose -3*s - 2*q + 74 = 0, -4*s = -2*s + 2*q - 52. What is the lowest common multiple of 106 and s?
1166
Let r be 18/188*(-60)/(-66). Let o = -2/517 - r. Calculate the common denominator of o and -40/21.
231
Let r = -18679549/12 - -1557691. Let i = r - 1065. Find the common denominator of -89/10 and i.
60
Let t be 13909*(-2)/(-60) - -1. Let i = -2389/5 + t. What is the common denominator of (1 - (-89)/(-70)) + 628/1099 and i?
30
Let r = 3 + -10. Let y(q) = q**3 + 7*q**2 - 3*q - 9. What is the smallest common multiple of 9*(26/(-12) - -2)*-4 and y(r)?
12
Suppose 4*r + 124 = 8*y - 3*y, -4*y + 3*r + 99 = 0. Calculate the least common multiple of y and 24.
24
Let t(p) = 4*p + 2. Let r be t(-1). Calculate the lowest common multiple of 9 and (-217)/(-5) + r/5.
387
Suppose 5*w = 3*o - 23, 2*o - 9 = o + 3*w. Suppose -o = -2*k - 0. Suppose 1 - 10 = -k*d. What is the lowest common multiple of d and 11?
33
Suppose -5*s + 180 = 5*d, 5 = -3*s + 3*d + 113. Calculate the smallest common multiple of s and 9.
36
Suppose -1665 = -8*c - c. Let j = c - 167. What is the smallest common multiple of j and 70?
630
Suppose -2*g + i = -38 + 13, i + 15 = g. Suppose 69*v - 125 + 54 = 67. What is the lowest common multiple of g and v?
10
Let c be 4 + 19825/(-6605) - 1. Let h = c + -101697/13210. Find the common denominator of h and 58/7.
70
Let j(w) = 15*w - 2. Calculate the least common multiple of 17 and j(1).
221
Let i = 1555/258 - -11/387. Find the common denominator of 22/((-88)/3)*-54 and i.
18
Let d = -21 + 4. Let t(b) = b + 2. Let q be t(-5). What is the smallest common multiple of 8 and (9 + d)*q/4?
24
Let d = 365269/69210 + 1/11535. Let l = 220 + -2131/10. Find the common denominator of d and l.
90
Let p(z) = 23*z + 1022. Calculate the lowest common multiple of 187 and p(-40).
1122
Find the common denominator of (-4)/(-16) - (-330)/(-320) and -119/72.
288
Let w(y) = 42*y + 348. Let f = 5 - -13. Calculate the least common multiple of w(-8) and f.
36
Let r be (1 + (-17)/(-3))*-3. Calculate the common denominator of -3 + 686/(-77) + 7 and ((-21)/(-6))/((-18)/r).
99
Suppose x + 5 + 0 = -n, -3*x + 25 = -5*n. Calculate the smallest common multiple of (-3 - x)/((-3)/6) and (-2)/(3 - 1) + 17.
48
Suppose 40*o = 29*o + 330. Calculate the lowest common multiple of o and 30.
30
Suppose -2*x - 4144 = -10*x. Find the common denominator of x/(-60) - 2/(-6) and 27/5.
10
Calculate the common denominator of (2628/648)/(3/2 - 2) and ((-21)/(-2))/((-11)/4).
99
Calculate the common denominator of 2*(-822)/(-140) + 2/(-14) and -53/10.
10
Let m = -5402090 - -64785991/12. Let g = m - -3249. What is the common denominator of g and 75/26?
156
Let n(o) = o**3 - 2*o**2 + 1. Let f be n(3). Let p be ((-1116)/f)/((-6)/40). Find the common denominator of ((-1)/32)/((-4)/p) and -13/14.
112
Let o = -2/11651 - -594229/163114. Find the common denominator of -25/14 and o.
14
Let x = 20 + -15. Calculate the common denominator of ((-1080)/(-28))/x - 0 and 13/6.
42
Suppose -g - 45 = -2*r, 0 = 5*r - 0*r + 3*g - 85. Let n = 10 + r. Calculate the lowest common multiple of 12 and n.
60
Let c be (2 + -3)*(3 + 71). Let z = -62 - c. Calculate the least common multiple of 12 and z.
12
Let d(z) = -z**3 - 7*z**2 - 9*z - 13. Let m be d(-6). Suppose m = -2*l + 5*t, -5*t = -t - 20. What is the smallest common multiple of 18 and l?
90
Suppose 2*s = 2*v + v + 14, 2*v + 20 = 4*s. What is the lowest common multiple of s and 19?
76
Let b(a) = -119*a**2 + a. Let v be b(1). What is the lowest common multiple of (-16)/(-4) - (v + 2) and 22?
1320
Let o = 9 - 9. Suppose o = -4*c - 2*s + 22, s = -3*s - 12. Calculate the smallest common multiple of 10 and c.
70
Let z = 322203/22 - 14648. Let b = -38157 - -1831601/48. What is the common denominator of z and b?
528
Let r = -120681/20 - -6037. Calculate the common denominator of r and -50/11.
220
Let o = -29861/10 - -2989. Suppose 59 = -3*n - 139. Find the common denominator of -2 - (-1)/((-40)/n) and o.
20
Calculate the lowest common multiple of 1138 and (12/10)/((-32)/(-10) + -3).
3414
Let y(j) = 4*j**3 - 4*j**2 + 6*j - 1. Let x(d) = 5*d**3 - 3*d**2 + 7*d. Let m(r) = 2*x(r) - 3*y(r). What is the smallest common multiple of 15 and m(2)?
15
What is the common denominator of -67/15 and (2/10 + 0)/((-840)/1428)?
150
Let x(a) = 7 + a**2 - 1 - 2 + 2*a + 3. Let j(o) = -o**2 - 9*o - 6. Calculate the least common multiple of j(-6) and x(-5).
132
Let a(c) = 2*c - 5. Let v be a(4). Suppose 3 + 0 = v*k. Let y = k + 10. Calculate the least common multiple of 1 and y.
11
Let o = -694/19 - -7471/152. Calculate the common denominator of o and -59/24.
24
Let a(b) = 2*b + 4. Let n be a(6). Let j = -14 + n. Calculate the common denominator of (j - -14)*2/(-9) and 15/8.
72
Let s = 0 + 5. Suppose -93 = -4*n - 5*v, 8 = -s*n - 5*v + 123. Suppose b + 52 = 4*b + 2*x, -2*x - 2 = 0. What is the smallest common multiple of n and b?
198
Suppose -9 = -2*o - 3. Suppose 5*n = -6 + 26. Suppose d - 2*w = n, 3*d = 2*w - 6 + 30. Calculate the least common multiple of d and o.
30
Let z be (-66)/88*3658/3. Let o = z + 963. What is the common denominator of ((-34)/7)/(36/(-49)) and o?
18
What is the common denominator of 20/500*(-35)/2 and 157/132?
660
Let i be 2*(-2)/4 + 3. Let p(z) = 9*z**2 + 3*z - 3 + 6 - 8*z**i. What is the smallest common multiple of 7 and p(-2)?
7
Find the common denominator of ((-639)/(-15) - -1)*(-4)/32 and 45/68.
340
Let z = 18799/7 + -2691. Let d = 53562 - 135779672/2535. Let u = 210397/10140 - d. What is the common denominator of u and z?
28
Suppose 27*k - 29*k - 3954 = 0. Let g = 19737/10 + k. Calculate the common denominator of 23/42 and g.
210
Let x(q) = -2297*q - 1. Let l(z) = 6891*z + 3. Let s(g) = 2*l(g) + 7*x(g). Let r be s(3). Let f = r - -68813/10. Find the com