culate the remainder when 552 is divided by i.
87
Let j(u) = -23*u + 133. Let x(f) = f + 251. Calculate the remainder when x(0) is divided by j(3).
59
Let a(f) = f**3 - 6*f**2. Let v be a(6). Suppose v*p = p - 1. Let h(u) = 30*u - 389. What is the remainder when h(13) is divided by p?
0
Let b(k) = 3*k**2 - k - 1. Let d be b(2). What is the remainder when 78 is divided by -2 - ((-375)/d - (-4)/(-12))?
38
Let a = -6 + 4. Let p be 1 + a/(-1) + -3. Suppose p*n - 60 = -4*n. Calculate the remainder when 29 is divided by n.
14
Suppose -13*m + 686 = 127. Suppose -3*k = 4*f + 2 - m, -2*f - 3*k + 25 = 0. What is the remainder when 63 is divided by f?
7
Let c = 22 + -27. Suppose 5*h - v - 140 = 0, -3*h + 5*v = -63 + 1. Let d = h + c. Calculate the remainder when 46 is divided by d.
22
Let t(n) = 70*n - 336. What is the remainder when t(6) is divided by 35?
14
Let h(a) = -2*a**2 - 10*a + 2. Let m be h(-5). Suppose 5*d + 2*b - 83 = 0, 2*d - m*b = 4*d - 32. What is the remainder when d is divided by 7?
3
Suppose 8*f = -0*f + 24. Suppose 0 = 3*z + 18 - 99. Suppose -3*p + 9 = b, -f*b + 0*p = -3*p - z. What is the remainder when 17 is divided by b?
8
Let m = -435 - -473. Calculate the remainder when 150 is divided by m.
36
Let k(b) = -20 + 8*b - 17 + 40. Calculate the remainder when k(3) is divided by 14*(2/(-4))/(-1).
6
Suppose 5*d - 2*k - 492 = 0, -3*d = -2*k - 251 - 45. Calculate the remainder when (-14)/d + (-170)/(-14) is divided by 7.
5
Suppose 3*t = -5*j + j + 10, 5*t - 2*j - 34 = 0. Suppose 22 = 4*y - t. What is the remainder when 60 is divided by y?
4
Suppose 14*v = -0*v + 2758. What is the remainder when v is divided by 41?
33
Let m = 33 - 14. Let g(u) = -15*u - 4 + 3 + 7*u. Calculate the remainder when m is divided by g(-1).
5
Let x = -35 - -33. What is the remainder when (x/5)/(4/(-20)) - -68 is divided by 25?
20
Suppose -449 = -8*c + 191. What is the remainder when 396 is divided by c?
76
Suppose x + 0 = 4. Suppose -o = -x*o. Let v(u) = -u + 4. What is the remainder when v(o) is divided by 2?
0
Suppose -4 = -5*x - h, h + 2*h = -x + 12. Suppose 0 = -o - 4*s - x + 19, -41 = -5*o - 2*s. Calculate the remainder when 33 is divided by o.
5
What is the remainder when 38 is divided by (-208)/(-8) + -5 + -6?
8
Suppose -2*s + 18 + 76 = 0. Suppose 5*m - s = 88. Suppose 2*r = -4*l - 6 + 72, l - 3*r = m. Calculate the remainder when 35 is divided by l.
17
Let y(k) = -15*k - 2. Let n be y(-2). Let f = 65 - n. Calculate the remainder when f is divided by 16.
5
Let n = 30 - 28. Let c be ((-12)/8 + n)*0. Suppose c = -p - 5*u - 0*u - 16, 3*u = -p - 6. What is the remainder when 16 is divided by p?
7
Suppose 2*h - 75 = 5*a, -3*a = -4*h + 2*a + 155. What is the remainder when h is divided by 7?
5
Suppose 0*f = 2*f - 4*z + 74, 5*f - 4*z + 161 = 0. Let o = 52 + f. Calculate the remainder when o is divided by 9.
5
Let b = -21 - -7. Let m = b - -25. Let q(r) = r**2 - 47*r + 217. Calculate the remainder when m is divided by q(42).
4
Let i = 10 - 28. Let p = 117 + i. Let m = -52 + p. Calculate the remainder when m is divided by 25.
22
Suppose 0 = 66*q - 54*q - 180. Calculate the remainder when 958 is divided by q.
13
Let d = -1345 + 1369. What is the remainder when 143 is divided by d?
23
What is the remainder when 57 is divided by ((-70)/15 + 5)/(4/240)?
17
Suppose 7*i = i. Suppose i = -5*d + 2*t + 213, 5*t = -3*d + 21 + 113. Let g = 20 + -9. Calculate the remainder when d is divided by g.
10
Suppose 4*m - 5*g = 179, -3*m - 37*g + 158 = -36*g. Calculate the remainder when m is divided by 40.
11
Let l = -144 - -156. Suppose -2*j + 236 = 2*j. What is the remainder when j is divided by l?
11
Let n(x) = -3*x + 35. Suppose 4*m + 123 = 7*m. Calculate the remainder when m is divided by n(8).
8
Suppose -2*m + 24 = -2*w, 3*m = -m + 5*w + 43. What is the remainder when 67 is divided by m?
16
Let d be (-1)/(1/(-5)*1). What is the remainder when 17 is divided by 0/(-5) + d + 1?
5
Let x = 69 - 61. Suppose 4*i = 2*n + 2 - 24, x = 4*i. Calculate the remainder when 59 is divided by n.
14
Suppose w = 2*t + 3, 5 - 26 = -4*w + 5*t. What is the remainder when w is divided by 1?
0
Suppose -3426 = -10*i + 1934. Calculate the remainder when i is divided by 108.
104
Suppose -3*d + i + 46 = 0, 2*i + 10 = d - i. Calculate the remainder when 21 is divided by d.
5
Let j(c) = -c**2 - c. Let x(q) = -2*q**3 - 5*q**2 + q + 3. Let z(d) = -j(d) + x(d). What is the remainder when z(-4) is divided by -1 + 16 - -1 - 1?
14
Let r(o) = -2*o - 11. Let m be r(-7). Suppose 0 = -4*w - 5*i + 309, 2*i - 279 = -4*w + m*i. Calculate the remainder when w is divided by 19.
14
Let a(q) = q**3 + 7*q**2 + 3*q - 1. Suppose 5*u + 5*z = 330, -2*u - 3 = -z - 135. Calculate the remainder when u is divided by a(-6).
15
Let l be 2 + 1 - (-6 + 4). Suppose i = -l*t + 34, i + 2 = -i. Calculate the remainder when 20 is divided by t.
6
Let w be (-1)/2*(-9 + 3). Suppose 19 = -w*r + 91. What is the remainder when r is divided by 9?
6
Suppose 5*x - 3*g = 25, 0 = -x + 2*g + 5 - 0. Suppose -4*d = 4*u - x*d - 143, -67 = -2*u + 5*d. Calculate the remainder when 68 is divided by u.
32
What is the remainder when (-1420)/(-6) + (-6)/9 is divided by (2/(-4))/((23/6)/(-23)) - -31?
32
Let v be 4/10 + (-108)/(-5). Let f be 10/2 - (-370)/10. Let r = f - v. What is the remainder when 79 is divided by r?
19
Suppose 0 = -a + 4 + 6. What is the remainder when (-1 - 1/(-2))*(-740)/a is divided by 19?
18
Let l(t) = t**2 + 12*t - 28. Let z be l(-14). Suppose -m + 3*m - 3*b - 50 = z, -3*b = 4*m - 64. What is the remainder when 36 is divided by m?
17
Suppose -5*a = -205 - 55. Calculate the remainder when 356 is divided by a.
44
Let d(m) = -m**3 - 9*m**2 - 14*m - 20. Calculate the remainder when d(-8) is divided by 7.
0
Let g = -12 + 10. Let x = 0 + g. Let d(k) = 2*k**2 - 2*k - 3. Calculate the remainder when 17 is divided by d(x).
8
Suppose 5*a - 17 = 68. Suppose 136*v = 177*v - 3444. Calculate the remainder when v is divided by a.
16
Suppose -s - 3*t - 9 = 0, -3*s = t - 0 - 5. Let l(q) = 2*q - 1. Let a = -496 - -503. Calculate the remainder when a is divided by l(s).
2
Suppose -9 = -5*s + 4*s + z, -5*z - 9 = 4*s. Suppose -13*d + s = -12*d. Suppose d*c + 75 = 7*c. What is the remainder when 47 is divided by c?
22
Let j = 325 + -22. Calculate the remainder when j is divided by 51.
48
Let u = 38 - 60. Let k = u - -39. Calculate the remainder when 48 is divided by k.
14
Suppose 5*y - 4*q - 630 = 20, 0 = 2*y - 3*q - 253. Calculate the remainder when y is divided by -2*((-62)/4 - -2).
26
Let j be 188/((-2)/(-21)*7). Let q = 3 - 1. Suppose m - j = -q*m. Calculate the remainder when m is divided by 24.
22
Suppose n = -5, 5*h - 7*n + 6*n = 220. What is the remainder when h is divided by 10?
3
Suppose 0 = -p + 7 - 4. Suppose 39 = 2*d - p. Calculate the remainder when 79 is divided by d.
16
Let m(h) be the second derivative of h**5/20 - 3*h**4/4 + h**3/3 - 6*h**2 + 43*h. Calculate the remainder when 22 is divided by m(9).
4
Let r(l) = l - 3. Let n(i) = -i**3 + 9*i**2 - 8*i + 7. Let g be n(8). Let s be r(g). What is the remainder when 91 is divided by 19 + 3/(3/s)?
22
Suppose -1260 = -7*s + 161. Suppose b = 3*f + 81, -s = -3*b - 2*f + 84. Calculate the remainder when b is divided by 24.
21
Let q = -303 - -482. Calculate the remainder when q is divided by 104/(-14)*-21*(-1)/(-6).
23
Let f(q) = -14*q - 357. Calculate the remainder when 536 is divided by f(-38).
11
Let z = -13 - -17. Let t(v) = -v**3 + 3*v**2 + 4*v + 4. Calculate the remainder when 10 is divided by t(z).
2
Suppose -161 = -18*i + 109. Let r = 8 + i. Calculate the remainder when r is divided by 12.
11
Suppose -3*v + 192 = v + 4*j, 0 = -v - 5*j + 28. Suppose 2*a = 3*c - 86, -4*a + 50 = -4*c + 166. Calculate the remainder when v is divided by c.
25
Suppose -7*w + 3*w + 12 = 0. Suppose -2*u = 3*s - 3, -2*u + 4 = u + 5*s. Suppose -5*c + u = -22. Calculate the remainder when c is divided by w.
2
Suppose 3*a + 2*t + 74 = -3*t, -t + 68 = -3*a. Let i = 22 + a. Calculate the remainder when (-3)/((-23)/(-26) + i) is divided by 7.
5
Suppose 0 = -2*s + 10, -4*s + 28 = v - 15. Let r = 1264 + -1223. Calculate the remainder when r is divided by v.
18
Suppose 30*a = 25*a + 350. Let s = -67 + a. What is the remainder wh