 3). Suppose -8 = -2*d - b. Suppose 4*k = -d*p + 4, 4*k - p = 4*p + 49. What is the remainder when 16 is divided by k?
4
Let n(r) = 431*r**3 - 46*r**2 + 9*r - 5. Calculate the remainder when n(3) is divided by 69.
67
Let l(x) = 2*x**2 + 2*x - 55. Let a be l(-6). Suppose -5*f + 10 = -0. Suppose -3*c + 3 = -6, -f*d + 171 = a*c. Calculate the remainder when d is divided by 9.
6
What is the remainder when 306 is divided by 1634/6 + (-1)/(-2)*(-514)/771?
34
Suppose 15 = 16*r - 21*r. Let s be (r + -1 - -7) + -1 + 1. Calculate the remainder when 69 is divided by (s - (-14)/(-4)) + (-147)/(-6).
21
Let f be (-7 + 2)*24/(-30). Suppose f*o - 18 = -2*o. Suppose 3*u - 42 = -o*u. Calculate the remainder when 27 is divided by u.
6
Let q(k) = k**3 + 15*k**2 - 39*k - 91. Let h be q(-17). Let a(f) = -f + 45. Calculate the remainder when a(h) is divided by (-142)/(-8) - (-2)/8.
15
Calculate the remainder when (-3)/(-48)*83598 + (1890/(-240) - -8) is divided by 201.
200
Suppose 573*m = 571*m + 150. Calculate the remainder when m is divided by 35.
5
Let j(c) = -9*c - 39. Suppose 983 = 10*l + 303. Calculate the remainder when j(-19) is divided by l.
64
Suppose -5*s - 185 = 4*m, -111 = 3*s - 3*m + m. Let u = s + 46. What is the remainder when 15*((-6)/u + 4) is divided by 13?
11
Suppose -9*t + 4*t = 102*t - 28890. Calculate the remainder when t is divided by 268.
2
Let g(x) = -6*x + 27. Let t be g(-7). Let z = t + -134. Let h = -54 - z. Calculate the remainder when 41 is divided by h.
8
Suppose -47*l = -50*l + 114. Let v(h) be the first derivative of -18*h**4 + 2*h**3/3 - h + 25. What is the remainder when v(-1) is divided by l?
35
Let y(f) = 383*f + 63585. Calculate the remainder when 2/4*(104 - -2) is divided by y(-166).
4
Suppose -4*q - 3*x + 66 = 0, 2*q + 0*q = -5*x + 40. Suppose -1191 = -q*v + 294. Calculate the remainder when v is divided by 27.
18
What is the remainder when (2/(-3))/((-7)/(48510/22)) is divided by 162?
48
Let a(q) = q**3 + 13*q**2 + 12*q + 6. Let x be a(-12). What is the remainder when (20/(-6))/(7/(-126)) is divided by x/12 + 126/4?
28
Let f(p) = -p - 1. Let x(s) = 9*s - 49. Let o(j) = -4*f(j) + 4*x(j). What is the remainder when o(5) is divided by 5?
3
Suppose 598 = 4*j - 2*l, -3*j + 4*l + 730 = 279. Let s(o) = -18*o + 2. What is the remainder when j is divided by s(-2)?
35
Let s(j) = 13*j - 1043. Let d(q) = 44*q - 3130. Let m(v) = -3*d(v) + 8*s(v). Let p = -39 - -62. What is the remainder when p is divided by m(37)?
3
Suppose 0 = -381*v - 27779 + 305927 + 786366. What is the remainder when v is divided by 147?
1
Suppose v - 7 = -f, -v + 12 = 2*f - 0*v. Calculate the remainder when 21/14*((-24)/(-9) + 2) is divided by f.
2
Suppose 10 - 34 = 2*y. Let n = y + 14. Suppose -t - 5 = 0, 4*t + 8 = n*f - 68. Calculate the remainder when 82 is divided by f.
26
Suppose 48*o - 11 - 277 = 0. Suppose o*c - 8*c - 5*g = -526, c = -4*g + 260. Calculate the remainder when c is divided by 34.
30
Suppose -5*d = -0*w - 3*w - 12414, 0 = d - 4*w - 2493. What is the remainder when d is divided by 92?
89
Let w(t) = -3*t**3 - 3*t**2 - 2*t + 8. Suppose 0 = 6*j + 28*j + 136. Calculate the remainder when w(j) is divided by 16.
0
Suppose 2*h - 14 = 0, 2*c - 3*h = -275 + 304. Calculate the remainder when 548 is divided by c.
23
Let u(x) = -178*x - 5715. What is the remainder when u(-49) is divided by 232?
223
Let l = 3176 - 2055. What is the remainder when l is divided by 34?
33
Let i(x) = x**2 + 15*x - 18 + 0*x**2 - 35*x + 16*x. What is the remainder when 214/(3 - (1 + 0)) is divided by i(-5)?
26
Let h = -167 + 26. Let q = -138 - h. What is the remainder when q is divided by 2?
1
Let b = 640 + -431. Let v be ((-4)/8)/(1/6) - -3. Suppose -4*n + 3*f = -51, -2*n + v*f + 42 = 4*f. Calculate the remainder when b is divided by n.
14
Suppose 32*c + 33*c - 295 - 1980 = 0. What is the remainder when 2500 is divided by c?
15
Let g(x) = x**3 - 77*x**2 + 71*x + 403. Let m be 83*(0 - (0 + 1)). Let u = m - -169. What is the remainder when u is divided by g(76)?
17
Let c(q) = 5*q**2 - 27*q - 49*q + 69*q + 7. What is the remainder when 14 is divided by c(1)?
4
Let m = -4 + 15. Let r(c) = 0*c**2 - 4*c + 1 - c**2 + 18*c - 28*c**3 + 27*c**3. Calculate the remainder when r(-5) is divided by m.
9
Suppose 107 - 491 - 863 = -43*m. Calculate the remainder when m is divided by 1 + 1 - 0 - -1.
2
Suppose -1254 = -92*m - 38*m + 16*m. Suppose -3*s + s + 2*a + 20 = 0, 3*a - 68 = -4*s. What is the remainder when s is divided by m?
3
Let m = 147 - -354. Let j = m + -361. What is the remainder when j is divided by 41?
17
Suppose 4*x = -4*i + 756, -4*x + i - 741 = -8*x. What is the remainder when x is divided by (7 - -6 - 16)/(14/17 + -1)?
14
Suppose 0 = 3*r - 2*r - 5*q - 22, r - 16 = 2*q. Suppose -3*n + 12 = 0, 5*w = -0*w + 2*n + r. Calculate the remainder when 61 is divided by 10/1 + w - -2.
13
Let x = 343 - 258. Calculate the remainder when x is divided by 20.
5
Let u be (0 + 1)/(6/((-648)/6)). Calculate the remainder when 687 is divided by (-9)/u - 274/(-4).
66
Let c be (-54)/144 - (-6)/16. Suppose -5*u = -u + 3*s - 643, -4*s + 4 = c. Calculate the remainder when u is divided by 9.
7
Suppose 4*l = -5*i + 3, 6 = -i - 0*i - 3*l. Suppose 4*h = -4*q + 1544, i*q = 4*q + 2. Calculate the remainder when h is divided by 13.
11
Suppose -270 = -2*h + 4*h. Let c(y) = -215*y + 11. Let s be c(-1). Let b = h + s. What is the remainder when b is divided by 19?
15
Let m(i) = -i**2 + 14*i + 33. Let q be m(16). Suppose 0*w + 21 = 3*w. Suppose 2*a = -q + w. Calculate the remainder when 13 is divided by a.
1
Let x be (9 - 3) + 1 + -3. Let b(u) = -8*u + x*u - 4*u - u. What is the remainder when b(-6) is divided by 20?
14
Suppose 99 = -5*t + z + 335, 4*t + z - 205 = 0. Calculate the remainder when 1709 is divided by t.
43
Let d(y) = 2*y**3 - 17*y**2 - 12*y + 25. Let k be d(9). What is the remainder when 754 is divided by k + 45 + 1 + (2 - 4)?
40
What is the remainder when (-2200)/(-1650) + 2494/6 is divided by 91?
53
Suppose 0 = -113*j + 1345 + 5096. What is the remainder when 3875 is divided by j?
56
Let m(n) = -10*n - 86. Let t(g) = g**3 - 5*g**2 - 23*g + 99. Let y be t(5). Calculate the remainder when m(y) is divided by 27.
20
Calculate the remainder when ((1326/(-4))/(-3))/((-684)/(-4104)) is divided by 57.
36
Let o = 1259 - 1148. What is the remainder when 221 is divided by o?
110
What is the remainder when 54 is divided by ((-2852)/248)/(2/(-8))?
8
Suppose 0 = b + 3, -4*b + 2304 = -j - 1424. What is the remainder when (1*-1)/(-11 - j/341) is divided by 20?
11
Let o(m) = -m**2 + 23*m + 9. Let w be (-1)/9 + (-1)/(-9). Let i(z) = -z**3 - z**2 - z + 17. Let f be i(w). Calculate the remainder when o(f) is divided by 16.
15
Let g(r) = -r + 61. Let c be g(-18). Let f = 83 - c. Suppose 7*u - 3*u - l = 19, -4*u + 44 = f*l. Calculate the remainder when 81 is divided by u.
3
Suppose 6*p + 28 = 7*p - 4*y, 123 = 5*p - 3*y. Suppose 6*b = 5*b - 11. Let h = -4 - b. What is the remainder when p is divided by h?
3
Let h = 2214 - 1469. What is the remainder when 1521 is divided by h?
31
Suppose 92 + 4 = 3*r. Suppose 3*p - 82 = r. Calculate the remainder when (-2)/4 + 1121/p is divided by 8.
5
Calculate the remainder when ((-8)/12*(-99)/8)/(150/15200) is divided by 169.
160
Suppose -k + 60 = -51*o + 50*o, 2*k - 124 = -2*o. Suppose -3*f - u + 1581 = -f, -783 = -f - 3*u. What is the remainder when f is divided by k?
60
Let b be (-35)/(-147)*3*7. Suppose 3*c = 4*r + 40, -b*c = -c - 4*r - 48. Calculate the remainder when (-6)/(-2) - (-9 - (-9)/3) is divided by c.
1
Let s(d) = d**3 - 20*d**2 + 24*d - 66. Let n be 1212/60 - (-12)/(-10). Calculate the remainder when 49 is divided by s(n).
20
Let k(j) = j**2 - 3*j + 18. Let d(l) = 6*l - 36. Let s be d(6). Let x be k(s). Suppose -7*t - x = -9*t. Calculate the remainder when 44 is divided by t.
8
Let d(x) = 133*x + 984. What is the remainder when d(-5) is divided by 41?
32
Let l be (-690)/4 - 4/(-8). Let w = -117 - l. Suppose 0 = 5*g + 2*b - 139, -g - g + 3*b + 67 = 0. What is the remainder when w is divided by g?
26
Suppose 3*q + 4*f = 362, 0 = 5*q - 8*f + 11*f - 574. Calculate the remainder when q is divided by (-38)/2*(0 + -1).
15
Suppose 37*h + 38*h + 835 = 76*h. Calculate the remaind