hat is the smallest common multiple of 8 and k?
88
Let u(z) = -z**2 - 44*z - 33. Let i be u(-29). Suppose -v = -2*p + 202, 4*p = -9*v + 12*v + i. Calculate the smallest common multiple of 30 and p.
510
Suppose 0 = 5*i - 2*j - 205, 7*j - 12*j + 41 = i. Let a be (-23 + i)/((-1)/(-2)). Suppose 0 = 2*y - 11*y + a. Calculate the least common multiple of 16 and y.
16
Let i(n) = n**2 + n - 23. Let c be i(4). Find the common denominator of -25/12 and (17/c)/(-2 - (-790)/(-105)).
600
Let m = 1318048 - 8208802961/6228. Calculate the common denominator of -37/2 and m.
6228
Suppose -26*r - 85 = -7. What is the common denominator of (30/(-16))/r*(-273)/65 and 13/98?
392
Let p(u) = u**3 + 15*u**2 - 58*u - 67. Let c be p(-18). Suppose 0 = c*k - 23 - 22. Calculate the least common multiple of k and 16.
144
Let g(k) = k**3 - 6*k**2 + 10*k + 12. Suppose -3*v - d = -7*v - 4, 5*v + 12 = 3*d. Suppose -54 = -v*m - 3*m. What is the least common multiple of m and g(4)?
180
Suppose 0*f - 635 = -10*a + 5*f, -2*a + 124 = 2*f. Calculate the least common multiple of 3051 and a.
21357
Suppose -55*o - 19 + 221 = -1998. Suppose 4*g + 102 = 2*z, -2*z + g + 273 = 3*z. What is the least common multiple of o and z?
440
Let u = -276346 - -470164. Let s be (17/4 + -4)*u/(-1107). Let q = 1560/41 + s. Find the common denominator of q and -41/10.
90
Suppose 5*s + 0*w = 2*w + 54, 3 = w. Suppose 5*d - s = -2. What is the least common multiple of d and 8?
8
Suppose 541*r + 1050 = 616*r. Calculate the smallest common multiple of 3382 and r.
23674
Let j = -1374/13281821 - 144991301149/428099654472. Let f be (-294701)/1176468 - ((-18)/8 - -2). Let u = f + j. What is the common denominator of u and 131/6?
168
Let j = 152 - 100. Suppose 10*t - 3*y = 5*t + 72, t + 4*y + 4 = 0. What is the lowest common multiple of t and j?
156
Let k(y) = -34*y + 25. Let l be k(1). Calculate the common denominator of (-3)/2 - (-6 + 10) and (-2)/16 + (63/(-28))/l.
8
Suppose -3*m = -7*m. Suppose -385*z + 391*z = 372. Suppose -q - q + z = m. What is the lowest common multiple of q and 6?
186
Let h = -4315/748 - -9/68. Let f be (-1 + 27013/(-147))*(-2)/(-44). Let g = f - h. Find the common denominator of g and -49/18.
126
Let a = -2333588/55 + 42430. What is the common denominator of a and -57/187?
935
Suppose -33 = 4*s - 5*s. Suppose 35*q - 55*q + 1540 = 0. What is the lowest common multiple of q and s?
231
Calculate the lowest common multiple of 2*(0 + (-13)/(-2)*5) and 65.
65
Let j be 485/(-4)*1442/(-245). Let a be (-1)/2 + (-5 - (-159952)/224). Let x = j - a. What is the common denominator of x and -37/22?
154
Suppose 0 = 4*f - 10*f + 14400. Suppose f = 6*x - 3*x. Let y = 2366/3 - x. What is the common denominator of y and 13/12?
12
Let w = 2195634746 - 46734085585486/21285. Let t = -114/215 - w. Find the common denominator of -56/45 and t.
495
Suppose 38*t - 200216 + 18776 = -46*t. What is the lowest common multiple of 135 and t?
2160
Let r(c) = -c**2 - 7*c + 17. Let x be r(-9). Let z be (-4 + x - -27)*-2. Find the common denominator of -39/29 and 2 + (1/10)/(z/1705).
232
Let l(p) = -168*p**3 - 247*p**2 - 1273*p - 12. What is the least common multiple of 6 and l(-5)?
63534
Let j = -2/362037 - 3338661/22566973. Find the common denominator of j and 80/51.
561
Suppose 59*p = -152*p + 6617 - 709. Suppose 0 = -g - 0 + 1. Let n = 11 + g. What is the smallest common multiple of n and p?
84
Find the common denominator of 71/218 and 3858/(-8829)*-39 + -5 - 12.
1962
Let m(p) = p**3 - 18*p**2 + 19*p - 30. Suppose 9 = 3*v, 0 = -5*d + 4*v + v - 20. Let x = d + 5. What is the lowest common multiple of x and m(17)?
4
Let c(m) = 11*m + 1241. Calculate the smallest common multiple of 1656 and c(-94).
1656
Suppose 6*w - 2*w - 204 = 0. Suppose -49*m - 12 = -w*m. Suppose 163 = m*p + 19. What is the lowest common multiple of p and 10?
120
Let p be (4 + -2)/(18/27). Let w(k) = 0*k - 21 + k**3 + 19 - p*k - k**2. What is the least common multiple of 12 and w(4)?
204
Let r = 26939 + -3879263/144. Find the common denominator of r and -139/234.
1872
What is the lowest common multiple of 6 and ((-351)/(-195))/((-9)/(-1695))?
678
Let c(m) = 53*m**2 - 36*m + 70. What is the least common multiple of c(2) and 80?
1680
Let h = -3379609/105 + 225346/7. Let v be 20/(-3) - 4/(-6). Calculate the common denominator of (-4)/v + 83/(-33) and h.
165
Let a(f) = f**3 + 10*f**2 + 14*f + 20. Let j = -179 - -171. What is the lowest common multiple of 60 and a(j)?
180
Suppose 11*b = 6*b + 10. Suppose b = -4*g - 10, -87 = -2*x - 3*g. Let f = -8 + 16. Calculate the smallest common multiple of x and f.
48
Let r be (-2 + -54)*1 - -1. Let y = r + 74. Calculate the common denominator of 103/10 and (12/14 - 0)/(21 - y).
70
Let d(r) = r + 1. Let s(l) = -l**2 - 6*l - 27. Let m(j) = -3*d(j) - s(j). What is the smallest common multiple of 72 and m(9)?
792
Let f = -1/29376 - -225217/29376. Find the common denominator of (-10)/12*16/(-310) and f.
93
Let n = 2911/2 + -1502. What is the common denominator of n and -41/101?
202
Suppose 2*i - 247 = 91*r - 88*r, 6*r - 131 = -i. Calculate the least common multiple of i and 300.
1500
What is the common denominator of 11/4144 and (-3280)/(-4920) + (2 - 2) + (-277)/(-12)?
4144
Let m = 309911 + -130162541/420. Calculate the common denominator of -161/120 and m.
840
Let i = 3 - -2. Let c = -262 - -265. Suppose -c*w - 1963 = -1978. Calculate the smallest common multiple of w and i.
5
Suppose 23*i - 12 = 29*i. What is the lowest common multiple of 25 and 3 - (i + 1 + -1)?
25
Suppose 4*y - 5*v = 193, -5*y - 5*v = -0*v - 230. Let c = 220 + -263. Let h = y + c. Calculate the smallest common multiple of h and 8.
8
Let h(b) = 3. Let w(p) = 24*p + 638. Let l(d) = 3*h(d) - w(d). Calculate the common denominator of l(-27) and 106/56*(-2)/3.
42
Let r = 558 - 4413/8. Let i(g) = -g**3 + 20*g**2 + 71*g - 1028. Find the common denominator of i(21) and r.
8
Let j = -6909 - -55229/8. What is the common denominator of j and -54/469?
3752
Let y be 18/(-15)*(-1480)/12 + -3. Let x = y + -25. Suppose -2*t + 8*t = x. Calculate the lowest common multiple of 12 and t.
60
Let n = 79138/119 + -11252/17. Find the common denominator of n and ((-625)/(-627) + -1)/2.
4389
Find the common denominator of 149/924 and 12/40*779/8778.
4620
Let o(f) = -f**3 - 2*f**2 + 25*f + 31. Let c be o(-6). Calculate the common denominator of 30/(-576)*-4*10/c and -8/57.
228
Let c = 6763597/110 - 61487. Find the common denominator of c and 2/28*(-64)/(-22).
770
Suppose -5*m + b = 2*b - 248, 0 = m + 2*b - 55. Let d = m - 45. Suppose -7*x + 6*x + 19 = 2*f, 11 = -x + d*f. What is the least common multiple of x and 8?
72
Suppose 10*u - 60 = 8*u. Let r(q) = -q**3 - 14*q**2 + 11*q - 20. Let a be r(-15). What is the lowest common multiple of 5 and 2*((-8)/a)/((-4)/u)?
15
Let f(r) = 3*r - 69. Let z be f(23). Suppose -7*l + 168 = -z*l. What is the least common multiple of 12 and l?
24
What is the smallest common multiple of 60 and 10 - (-14 - (100 + 8))?
660
Calculate the common denominator of -1 - (-2)/((-5222)/(-778) - (12 + -7)) and 109/1110.
3330
Suppose 7*w + 5*h + 9095 = 4*w, 4*w - h = -12096. Let n be w/(-15) - 2/(-2). Let j = n - 363/2. Calculate the common denominator of 47/2 and j.
6
Let v(u) = -9*u - 13. Let d be v(8). Let f be 2/(3 - d/(-25)). Calculate the common denominator of 0/(f + -1) - (-102)/(-10) and -50/17.
85
Suppose 0 = -5*h + 16 - 1. What is the lowest common multiple of -12 + 4 + -130*(-8)/26 and (22/(-5))/(h/(-30))?
352
Let p(t) = -t**2 + 20*t - 35. Let f be p(15). Suppose 0 = -f*v + 16*v + 288. Calculate the least common multiple of 2 and v.
12
Suppose 0 = 2*o - i + 23670, 4*o + i + 36552 = -10782. Let k = -16603104/1403 - o. Let m = k - -40695/5612. Calculate the common denominator of 34/21 and m.
84
Let q(a) = 2*a**2 - 8*a. Suppose -r + 2*w - 3 = 0, -4*w + 2*w = -5*r + 9. Calculate the smallest common multiple of r and q(8).
192
Let w(m) = -11*m**2 + 4 + 10 - 8*m**2 + 18*m**3 - 19*m**3. What is the least common multiple of w(-19) and 124?
868
Suppose 118*t = -27*t + 1160. Suppose -10 = -3*c + 50. Calculate the least common multiple of c and t.
40
Let g = 91 + -62. Let y = g + -59. Calculate the lowest common multiple of 8 and 4*(-9)/y*150/9.
40
Suppose 