se 99*p + 3*i = 100*p + 11, i = 5. What is the least common multiple of 233 and p?
932
Let s(h) = 6*h**2 + 3*h. Calculate the smallest common multiple of (-1)/((-64)/(-24))*(-35 - -11) and s(-7).
819
What is the common denominator of -65/27 and (-3104)/(-1656) + ((-35)/(-14))/(-5) + -1?
1242
Let r be ((-1)/(-4))/((-27)/162)*-118. Suppose 64 = -r*t + 179*t. Calculate the smallest common multiple of t and 112.
224
Suppose -2*o = -3*o + 23. Suppose 4*m - 135 = -o. Suppose -90 = -7*k + 78. What is the least common multiple of m and k?
168
Let u(p) = -p**3 + 8*p**2 - 4*p - 15. Let x be u(7). Suppose -370 = 11*o - x*o. Let s = -65 - o. What is the least common multiple of s and 5?
45
Let j(m) = -53*m + 1702. Calculate the least common multiple of j(24) and 602.
3010
Let o(m) = -4*m**2 + 8*m + 42. Let f be o(9). Let w = f - -282. Calculate the smallest common multiple of 27 and w.
216
Suppose 5*i + 104 = 4*j, 12*i - 11*i + 19 = -j. Let g(p) = -2*p - 4. Calculate the least common multiple of g(-6) and 4/i - 204/(-20).
40
Let v = 17 - 16. Calculate the common denominator of (-710)/40 - v/2 and (-4)/(-12) - (-366)/(-45).
20
Let w = -5/2166 + 101819/476520. Calculate the common denominator of w and -15/88.
440
Suppose -4*h = 5*j - 44, j + 10 = h + 26. Suppose -13*k = -j*k - 16. What is the smallest common multiple of 46 and k?
368
Suppose -4*y = -11 - 69. Suppose -3*u - 2*i - y = 0, -2*u = -7*i + 2*i - 12. What is the common denominator of 13/2 and (u/(-36))/(-2 - 201/(-99))?
6
Let c be ((-4)/(-20))/((-802582)/802334 - -1). Let n = c + -131/124. Let w = -657 - n. Find the common denominator of -53/6 and w.
30
Suppose 35 = k + 13. Let s(z) = z**3 - z**2 - 2. Let m(o) = -o**2 - 1. Let t(n) = -2*m(n) + s(n). What is the smallest common multiple of t(1) and k?
22
Calculate the common denominator of (12/(-2) - 92)*21/7245 and -143/2070.
2070
Let n = -3546 - -3552. Let a = -60 - -108. What is the lowest common multiple of a and n?
48
Suppose -12 = -s - j, -3*s + 4*j - 3 + 4 = 0. Let z(g) = -2*g**2 + 19*g - 24. What is the least common multiple of z(s) and 6?
66
Let w(b) = 4*b**2 + 11*b - 5. Suppose -8*q - 431 - 81 = 0. Let p = q - -74. Calculate the smallest common multiple of p and w(-5).
40
Suppose 0 = 2*p - 0*p + 8. Let x(k) = 2*k**2 + 79*k - 112. What is the lowest common multiple of ((-6)/p)/(2/8) and x(-41)?
66
Let f = -57 - -57. Suppose f = 17*n - 13*n - 272. Let d = 69 - n. What is the smallest common multiple of d and 78?
78
Let h = 211 - 208. What is the common denominator of (-18)/(-81) + 176/(-63) and 20/15*(-202)/(-80)*h?
70
Let k = 627202/21 - 29865. Suppose i + 28280 = 4*b, 4*b - 5*i = 3*b + 7051. Let d = 127313/18 - b. Find the common denominator of d and k.
126
Let n = -3714859/16665 + 7354/33. Find the common denominator of n and 71/90.
9090
Let c(o) = -13 + 9*o - 71*o**2 + 4 + 72*o**2. Calculate the smallest common multiple of c(-10) and 226.
226
Let u(r) = -13*r**2 + 378*r - 9. What is the lowest common multiple of 21 + ((-6)/(-1))/2 and u(29)?
120
Let p = 1621/5450 + -91/218. What is the common denominator of -61/6530 and p?
32650
Suppose 67 - 22 = 9*a. Let m = 1 + a. Let l(s) = 5*s - 9. Calculate the lowest common multiple of m and l(2).
6
Let v = 228569/26 + -8791. Calculate the common denominator of v and -19/1320.
17160
Let o = -37610 + 39170. What is the smallest common multiple of o and 24?
1560
Let j = -308 - -352. Let b = -32 + j. Calculate the smallest common multiple of 48 and b.
48
Let t = 4 + 21. What is the common denominator of -107/6 and ((-904)/32)/(t/(-10))?
30
Let z(l) be the first derivative of l**3/3 + 2*l + 1. What is the least common multiple of -7 + 340/(-35)*((-54)/4 - -10) and z(4)?
54
Let p(v) = 191*v - 4569. Calculate the smallest common multiple of p(24) and 5859.
29295
Let j = 32/107 + 869/2461. Find the common denominator of j and 14/17.
391
Let w = 31734209/7932 + -96019/24. What is the common denominator of w and 1/2?
5288
Suppose -173*s + 3*z = -176*s + 7248, 2*s + z - 4836 = 0. What is the least common multiple of 2420 and s?
2420
Suppose -2019*x + 2025*x = 108. Let v = 0 - -1. What is the least common multiple of x and 48/((-7)/(-4) - v)?
576
Let p = 131 + -218. What is the common denominator of 2/(-9) + 169/18 and (23/(-30))/1 + (-58)/p?
30
Let u(n) = -n**2 + 15*n + 21. Suppose 0 = g - y - 11, -5*g + 9*y + 85 = 10*y. What is the lowest common multiple of 5 and u(g)?
5
Let r = 154 + -152. Find the common denominator of 215/78 + 2/3 and r/2*(-77)/(-110).
130
Let j = -2/343 + -13337/6860. What is the common denominator of j and -173*1/24 - (-17928)/2241?
120
Let o(y) = 183*y**2 + 2 - 99*y**2 - 3*y - 92*y**2. Let z be o(2). What is the common denominator of 21/z*6/(-4) and -109/40?
40
Find the common denominator of (-35)/(-2)*12*((-507)/(-24440))/(-13) and -97/628.
29516
Let k = 220447/24 - 9181. Calculate the common denominator of k and -10/3621.
28968
Let r(b) = 255*b**2 - 141*b - 273. What is the smallest common multiple of r(-2) and 343?
1029
Suppose -2*m + 1150 = -0*m + 142. Calculate the lowest common multiple of m and 1344.
4032
Suppose 6*x + 10 = 11*x. Suppose -5*n - 4*t - 10 + 160 = 0, 2*t = x*n - 60. Suppose n = 16*w - 11*w. Calculate the smallest common multiple of w and 8.
24
Suppose -3*v + 6*l + 7 = 2*l, 3*l + 3 = 0. Let h = -47 - -53. What is the least common multiple of h and v?
6
Suppose 4*m = 26 + 14. Suppose 5*y = 3*a + 26, -8*a = -3*a - 15. Suppose -3*q - f + 6 - 5 = 0, -2*f - y = -3*q. What is the smallest common multiple of m and q?
10
Suppose 4*w - 4*i - 1489 = 2223, -3*w + 20*i + 2852 = 0. Calculate the least common multiple of 770 and w.
4620
Suppose 3*h - 121 - 611 = -2*d, 496 = 2*h + 4*d. Calculate the lowest common multiple of 1089 and h.
2178
Let a = 22902 + -22893. Let q = 0 - -3. What is the smallest common multiple of q and a?
9
Suppose h - 5*h + 3*k = -201, 4*h - k - 211 = 0. Let i = -70 + 74. Calculate the lowest common multiple of h and i.
108
Let y be -5*(-5 - -8)*(-1)/5. Calculate the common denominator of 9/44 and (y - 106/34) + (-43035)/(-42840).
1848
Let i = -401118 - -695538469/1734. Calculate the common denominator of i and -139/6.
1734
Suppose b - 8 = -5. Suppose -5*s - q = -b*q - 8, s + 3*q - 5 = 0. Suppose s*y - 31 = -21. Calculate the smallest common multiple of y and 12.
60
Let d be 16392/(-12)*(-6302)/(-5652). Let w = 4730/157 - d. Let n = 6223/4 - w. Find the common denominator of n and -89/40.
360
Suppose -93*g = -77042 + 22823. What is the lowest common multiple of 159 and g?
1749
Let z(r) = -33*r + 12*r + 11*r + 9*r + 1. Let d be z(-5). What is the common denominator of 4/11 and 385/63 - 4 - (-2)/d?
99
Let d = 256 - 251. Calculate the common denominator of -109/20 and -2 + 1 - (856/180 - d).
180
Let q = -3242/9 - -90593/252. Calculate the common denominator of -103/588 and q.
588
Let q = 6667 - 59975/9. Calculate the common denominator of 16/1389 and q.
4167
Suppose 105*t + 45694 = 167*t. Calculate the lowest common multiple of t and 603.
6633
Suppose 5*f - f - 616 = 0. What is the common denominator of -4 + 1015/42 + 0 and (21/f)/((-3)/(-76))?
66
Let g = 44 - 24. Calculate the lowest common multiple of (-4)/(6 - 2) + 11 and g.
20
Let c = -404/3433 + 94817/3110298. Calculate the common denominator of 61/66 and c.
9966
Let g(p) = p**3 - 7*p**2 + 10*p - 6. Let x be g(8). Suppose 0 = 4*d - x - 354. Find the common denominator of -9 and (-2)/20*d - -1.
10
Let q be (1 + 0)*(-11 + 8). What is the smallest common multiple of (130/(-6))/5*q and 86/16 - (-1)/12*126/(-28)?
65
What is the lowest common multiple of 482 and ((-21)/189)/(3/(-81)) + 2407 + 0?
2410
Let p(a) = 15*a**2 + 2*a - 1. Let i be 2 - (0/1 + -4). Suppose -i*w + w + 5 = 0. Calculate the least common multiple of p(w) and 2.
16
Suppose 38*g - 45*g + 3213 = 0. Suppose -10*x - 339 = -g. Calculate the least common multiple of x and 33.
132
Let v = 490 + -473. Suppose -4*r = -89 + v. Calculate the lowest common multiple of 12 and r.
36
Let g(y) = 2*y**2 + 6*y - 32. Let r be g(3). Find the common denominator of -1/68 and 1/6*(r + (-185)/290).
1972
Find the common denominator of 169/168 and 4352/(-588) - 28*(-12)/48.
1176
Let a = 2/605273 - 55685866/226977375. Calculate the common denominator of (-8)/12 +