y + -5) and 2.
20
Let p = 22 + -10. Suppose -f + 5*n + 52 = 0, n + 128 = -0*f + 3*f. Suppose -100 = -3*d - o, 25 = 2*d + o - f. Calculate the least common multiple of d and p.
132
Suppose -i + 3123 = -3*n, 3*n + 0*i + 5*i = -3105. Let f = -34 - 122. Calculate the common denominator of 41/22 and 1244/n - 8/f*-3.
220
Let z be 4/(-60)*2 + 688/(-15). Let k = z + 44. Let v(m) = -17*m + 5. What is the lowest common multiple of v(k) and 11?
429
Suppose -237*c = -232*c - 140. Let y(v) = v**2 - v + 1. Let b be y(-5). Let r = b - c. What is the lowest common multiple of 6 and r?
6
Let s(l) = l**2 + 14*l - 31. Let b be 0/((3 + 0)/3). Suppose b = 2*n + 9 + 23. Calculate the least common multiple of 6 and s(n).
6
Suppose 5*a = r - 1, 4*r + 14 = 3*a + 35. Let o(k) = 2*k**3 + k + 2*k**3 + 2*k**2 - 2 - 6*k**3. Calculate the smallest common multiple of r and o(-2).
60
Let b be (-4)/(-14) + (2 - (-270)/35). Suppose 2*i - 12 = 5*n + 4, -n - b = 3*i. Calculate the common denominator of (86/(-4) - -2) + i and 43/14.
14
Let r = 5222 + -31445/6. Let u = -39693/7496 - -10/2811. Find the common denominator of r and u.
24
Let j(w) = 2*w**3 + 4*w**2 + 6*w + 4. Let c(n) = 3*n**3 + 4*n**2 + 7*n + 4. Let t(x) = -3*c(x) + 4*j(x). Calculate the smallest common multiple of 12 and t(4).
48
Let j be 9/(-3)*1 - 30/5. Calculate the common denominator of 2 - 12/j*1050/(-628) and 67/6.
942
Let z(t) = -t**3 - 27*t**2 + 280*t + 9. Calculate the least common multiple of z(-35) and 60.
180
Let x = 19632 - 353467/18. Calculate the common denominator of x and 74/12711.
76266
Let h = 125517/47 - 2671. Let u = h + 31/846. Find the common denominator of u and -59/6.
18
Let h be (-1 + (2 - -7))/((-2)/(-8)). Let f be ((-1)/(-2))/(8/h). Suppose f*y - 180 = -3*y. What is the least common multiple of y and 14?
252
Suppose 0*d + 5*d = 350. Suppose 108*k - 541 - 215 = 0. Calculate the smallest common multiple of d and k.
70
What is the common denominator of 85/8 and 20/(-8)*((-506)/70 - -10)?
56
Let j = -12923 + 12970. Find the common denominator of j and -61/198.
198
Let u(a) = -a**3 - 12*a**2 - 10*a + 16. Let w be u(-11). Let r be w/20 - -2*9/24. Find the common denominator of (357/(-18) + -3)*r and -47/20.
60
Let m(v) = -14*v - 52. Suppose 15 + 5 = 4*z. Suppose -g - 5*s = -14, 2*g = z*s - s + 14. Calculate the lowest common multiple of g and m(-4).
36
What is the common denominator of ((-80061429)/755160)/(-53) - (-2 - -4) and 49/4?
35960
Let a = -31301/6 - -5231. Let b = -12/2863 + 143258/25767. What is the common denominator of a and b?
18
Suppose -2*z + 0 + 2 = 0, -5*l + 5*z = 10165. Let j = -1190 - l. Calculate the smallest common multiple of j and 2.
842
Find the common denominator of -13 + 19971/1080 - 5 and -7/66.
1320
Let t be 5*(-16)/(-6)*(-972)/(-135). Calculate the least common multiple of 600/t + 1/(-4) and 30.
30
Let g = -1/433 - -17779/11258. Let v = -34 - -12. Find the common denominator of g and (-4)/v + 1273/198.
234
Suppose 2*x + 4*l + 5834 = 0, -8715 = 3*x - 0*x - 3*l. Let m = -23369/8 - x. Calculate the common denominator of m and 2 + ((-41)/10)/1.
40
Let t(j) be the first derivative of -3*j**2 - 9*j - 46. Suppose 0 = 4*i + 3*o + 7 + 7, 10 = -3*i - 2*o. What is the lowest common multiple of 8 and t(i)?
24
Suppose p - 3*j + 2 - 5 = 0, -2*j - 12 = -4*p. Let b = -7690 + 7737. Calculate the smallest common multiple of p and b.
141
Let m(y) be the first derivative of -y**3/3 + 12*y**2 - 36*y + 12. What is the lowest common multiple of m(14) and 52?
104
Suppose -44*o = -27*o + 102. Calculate the smallest common multiple of (-101)/(-9) - o*(-4)/108 and (-1 - -2)*(8 + 3).
11
Let i = -10052 - -10062. Suppose -4 = 4*t, 3*t = 2*h + 3*h - 3. Suppose 2*v - 2 = -h. Calculate the smallest common multiple of i and v.
10
Let z(b) = -b + 49. Let i be z(38). Suppose 315 = -i*q + 32*q. Let s(w) = -w**3 + 8*w**2 - 6*w - 3. What is the smallest common multiple of q and s(6)?
165
Let l = 574 + -376. What is the common denominator of (l/(-605))/((-4)/45) and 123/20?
220
Let i(c) = -c**2 + 7*c. Suppose 1016 = v - x, -4*x - 2837 + 805 = -2*v. What is the least common multiple of v and i(5)?
5080
Let k(q) = -5*q**2 + 27*q. Let z be k(6). Let a = -17 - z. What is the least common multiple of (-3 + a)/((-22)/429) and 15?
195
Let a = 496058 + -30260290/61. Let x = 1/183 - a. Find the common denominator of 61/171 and x.
171
Let i = -5449 + 16345/3. What is the common denominator of i and -101/274?
822
Let v(c) = -3*c**2 - 13*c - 11. Let j be v(-3). Find the common denominator of (j/(-5))/(3288/1635 - 2) and 2 + 1 + (-33)/(-14).
42
Let s = -1426 - -1444. Let i = 0 + 0. Suppose q + q - 20 = i. What is the smallest common multiple of s and q?
90
Calculate the common denominator of -23/932 and 4/(3728/165) - -9*4/(-144).
932
Let t(i) = -4*i - 134. Let o be t(-33). Calculate the common denominator of -134*o/(-48)*(-22)/(-121) and -51/110.
330
Let o(p) = 2*p - 5. Let x be o(4). Suppose -5*y + x*g = 800, 2*y + 0*y - g = -320. Calculate the common denominator of 49/16 and (-24)/y*(-1)/3.
80
Let m = -275 + 331. Suppose -45*w + m*w - 44 = 0. Let s(a) = -2*a - 6. What is the least common multiple of w and s(-5)?
4
Let i = -668 - -712. Suppose -20 = 4*v, -3*s = -4*v - 93 - 47. What is the smallest common multiple of i and s?
440
Let s = -29332 - -43711. Let i = s - 172415/12. Find the common denominator of i and (-2)/(-6) + (-910)/660.
132
Let b = -31668 - -11970529/378. Find the common denominator of b and 45/(-28)*-1*2.
378
Calculate the common denominator of -97/366 and 7760/34892 + ((-540)/130 - -4).
4026
Suppose 4*c - 528 = -18*c + 10*c. Calculate the least common multiple of c and 1888.
20768
Suppose 0 = -3*c + 3*u + 21, -5*u - 8 - 24 = -4*c. Let x(a) = 2*a**2 - a + 3. Calculate the least common multiple of 1 and x(c).
18
Calculate the common denominator of -43/22 and 3/9 - (15635/(-1860))/53.
1364
Let z(y) = -1 - 7*y**2 + 3*y**2 + 15*y**2. Let h be z(-2). Find the common denominator of h*2/(-120) - (-11 + 13) and 45/22.
660
Let d(k) = -15*k + 14. Let v be d(0). Find the common denominator of 10*v*(-1)/66 and 4 + -4 + 76/33.
33
Suppose -u + 101 = 4*t, 5*t - u - 127 + 12 = 0. Calculate the least common multiple of t and 930.
3720
Let j(k) be the second derivative of k**5/20 + 31*k**4/12 + 5*k**3 + 6*k**2 - 23*k. Calculate the lowest common multiple of j(-30) and 170.
1020
Let q = -97548 + 55591. Let o = q - -4405447/105. Find the common denominator of o and 62/75.
525
Calculate the common denominator of -137/168 and 5/70*85799/2142.
504
Let m(a) = a**3 + 5*a**2 + 6*a + 3. Let x be m(-2). Suppose -4*j + x = q - 7, 0 = -q + 2*j - 2. What is the lowest common multiple of -2 + -2 + 6/2 + 2 and q?
2
Suppose 74*w - 100*w + 1868 - 620 = 0. What is the lowest common multiple of w and 16?
48
Suppose 3*x = -x + 8*x. Suppose -d - 4*o + 36 - 11 = x, 5*d - 189 = -4*o. Suppose 13 = 3*i - d. What is the smallest common multiple of 24 and i?
72
Let j be 1/(-3 + 772/256). What is the common denominator of ((535/8)/(-5))/(80/j) and -25/18?
90
Let m(j) = 61*j - 1260. Calculate the lowest common multiple of 907 and m(95).
4535
Let d = -196 - -527/3. Let l = 825 - 742. Suppose 986 = -l*z + 54*z. Find the common denominator of d and z.
3
Find the common denominator of (-8)/96*-81*9/(-75) and 7/975.
3900
Suppose -i = i - 12, -4*k = 3*i - 986. Calculate the smallest common multiple of 17 and k.
4114
Suppose -5281*h + 5274*h + 147 = 0. Suppose 0*u - 4*u = -140. Calculate the lowest common multiple of h and u.
105
Suppose -44 - 147 = -32*h + 65. Calculate the smallest common multiple of 700 and h.
1400
Calculate the common denominator of 57/508 and (-2)/(-3) - (360/975360)/((-9)/(-16340)).
2032
Let i be 6/9 + 2/6. Let p(a) = 6*a**2 + 251*a + 199. Calculate the common denominator of (3 + -11)/(-5*i) and p(-41).
5
Let x be (52/217)/(144/(-168)). Let b = x - -1213/310. What is the common denominator of b and 37/24?
120
Let m(k) = -271*k**2 + 4*k - 2. Let x be m(3). Let d = -396460682528/163142013 - -2/9596589. Let y = d - x. Find the common denominator of -2/33 and y.
561
Suppose 0 = 2*k - 5*p - 133, 3*k + 3*p = 8*k - 361. Calculate the least common multiple of k and 4.
148
Suppose 15 + 29 = -22*m. What is the lowest common multiple of