5. Suppose -5*r + 1 + 19 = 0. Let b = 66 - r. Calculate the remainder when b is divided by i.
20
Suppose 3*c + 0*n + 4*n - 26 = 0, 0 = -4*c + 3*n + 68. Suppose 0 = 2*k - c - 54. What is the remainder when k is divided by 9?
7
Suppose 23*x = 609 + 58. What is the remainder when 608 is divided by x?
28
Let q = -57 + 62. Suppose -10 - 29 = -q*m - 2*h, -3*m + 15 = 4*h. Calculate the remainder when 34 is divided by m.
7
Suppose -2*j - j = -240. Suppose -34 = -2*l + m + 8, m + j = 4*l. What is the remainder when l is divided by 5/20 + 27/4?
5
Suppose -5*d + 27*d - 2002 = 0. Calculate the remainder when d is divided by 26.
13
Let q(c) = -2 + 9*c - 8*c + 4 + c**2. Let x be q(0). Suppose -3 = -x*s + 7. What is the remainder when 14 is divided by s?
4
Suppose 4*g - 2*y - 10 = -y, -2*g - 2*y = 0. Suppose g*l + 2*t = -8, -5*l - 8 - 20 = t. Calculate the remainder when 6 is divided by (3/(l/(-8)))/2.
0
What is the remainder when 169 is divided by (0 + 17)/((-25)/(-10) + -2)?
33
Suppose -3*u - 78 = -6*u. Let o(a) = 3*a + 5. Let j = -5 - -8. Calculate the remainder when u is divided by o(j).
12
Let t(w) be the third derivative of w**4/24 - w**2. Calculate the remainder when (18/12)/(-1)*(-78)/9 is divided by t(4).
1
Suppose -30*w + 26*w + 768 = 0. What is the remainder when w is divided by 13/(-3 + 8 - 4)?
10
Let g be 1/((-7)/9) + 4/14. Let j(n) = -10*n**3 + 2*n**2 + n + 1. Calculate the remainder when j(g) is divided by 4.
0
Let x = -1 - -3. Let u be (-3)/6 + 17/x. Suppose 4*k - 7 = 5*a, -2*k - a = a - u. What is the remainder when 9 is divided by k?
0
Let s(x) = 2*x**3 + 6*x**2 + 4*x - 11. Let t(f) = f**3 - 1. Let r(c) = -s(c) + t(c). What is the remainder when r(-6) is divided by 19?
15
Suppose -5*i - 43 = 3*p, -3*i - i - 20 = 0. Let m be (-1 - -4)/((-2)/p). Let j = m + 0. What is the remainder when 35 is divided by j?
8
Let r(w) = -4*w - 2. Let a(n) = -n**2 - 5*n + 2. Calculate the remainder when r(-6) is divided by a(-3).
6
Let y(b) = 3*b + 6. Let l(i) = -3*i - 6. Let s be l(-4). Calculate the remainder when y(s) is divided by 13.
11
Suppose -a + 249 = 2*a + 3*q, -5*q = -5. Calculate the remainder when a is divided by 6.
4
Suppose 2*x - 56 = -3*p - 21, -4*x - 3*p + 85 = 0. Suppose 4*a = 7*a + 6. What is the remainder when x is divided by a/5 + 67/5?
12
Suppose -108*n + 81*n + 459 = 0. Suppose -4*l + 69 = -l. What is the remainder when l is divided by n?
6
Let y(z) = z**3 + 6*z**2 - 18*z - 13. Let j(t) = t**2 - t. Let s(a) = -2*j(a) - y(a). What is the remainder when 76 is divided by s(-10)?
11
Let x = 229 + -175. Suppose 0*r = -2*r + 536. What is the remainder when r is divided by x?
52
Let l(z) = 37*z + 11 - 85*z + 42*z. What is the remainder when l(-4) is divided by 13?
9
Let t = 3343 + -3326. Let n = 102 - 57. What is the remainder when n is divided by t?
11
Suppose 0 = 59*k - 37*k - 308. Calculate the remainder when 1774 is divided by k.
10
Let v(d) = d**2 + 10*d - 1. Let n be v(-10). Let l = 26 + n. What is the remainder when l is divided by 16?
9
Let m(l) = -l**3 - 6*l**2 + 2*l + 7. Let w be m(-5). Suppose -26 = -x - x. Calculate the remainder when (36/(-14))/(2/w) is divided by x.
10
Let o be 2*(3 - 2) - 16/(-8). Suppose -o*r + 20 = -0*r + 4*j, j = -3. Calculate the remainder when 183 is divided by r.
7
Let w = 33 + -21. Let y be (-237)/w + (-2)/8. Let q = 34 + y. Calculate the remainder when q is divided by 5.
4
Suppose -2*r = 5*k - 11087, -19*k - r + 8872 = -15*k. Calculate the remainder when k is divided by 12.
11
Suppose 6*o + d - 100 = 4*o, 116 = 2*o + 5*d. Calculate the remainder when 283 is divided by o.
43
Suppose -50*d + 6184 + 771 = -3795. Suppose -3*r + 2*r = -24. Calculate the remainder when d is divided by r.
23
Calculate the remainder when 112 + 3 + (-25)/((-10)/(-2)) is divided by 37.
36
Let s(l) = 5*l + 8. Let a be 20/15*(-18)/(-4). Calculate the remainder when s(a) is divided by (-2)/14 - 852/(-84).
8
Suppose 4*f = 5*p - 266, 13*f - 15*f - 258 = -5*p. What is the remainder when 195 is divided by p?
45
Let j(o) = -o - 4. Let g(s) = -s - 8. Let u(n) = -4*g(n) + 7*j(n). What is the remainder when 29 is divided by u(-1)?
1
Suppose 5 - 15 = 5*p, 338 = 4*g + p. Suppose 63 = 4*v - g. Suppose -2*k = -5*b - 16, 3*k - v = 2*b - b. Calculate the remainder when 62 is divided by k.
10
Suppose -y + 2*u = -33, 4*y = -u + 11 + 148. Calculate the remainder when 421 is divided by y.
31
Let y(p) = 2*p**3 + 4*p**2 - 14*p - 3. Calculate the remainder when 102 is divided by y(3).
12
Suppose 3*n - 4 = 2*n. Suppose 3*y + 5*r - 27 = 1, 0 = -5*y - 4*r + 38. Calculate the remainder when y is divided by n.
2
Suppose -11*p + 5*p + 108 = 0. Let y = -129 + 197. What is the remainder when y is divided by p?
14
Let x = 297 + -221. What is the remainder when x is divided by 20?
16
Let v = -307 + 328. Calculate the remainder when 38 is divided by v.
17
Let u(d) = -8*d - 1. Suppose 3*q + 16 = 4*n, -3*n + 12 = -0*q + 5*q. Calculate the remainder when (-647)/(-11) + n/22 is divided by u(-2).
14
Suppose -5*i = -38*i + 3465. Calculate the remainder when i is divided by 44.
17
Let l(n) = n**3 + 3*n**2 - 5*n + 1. What is the remainder when l(4) is divided by 16?
13
Suppose 0 = -2*v + 37 - 33, 5*z = -4*v + 2518. Calculate the remainder when z is divided by 84.
82
Let d(p) = p**2 - 11*p + 28. Calculate the remainder when d(13) is divided by 22.
10
Suppose -2*y + 40 = 2*y. Let n(m) = -1283*m + 1290*m + 14 - 1. What is the remainder when n(5) is divided by y?
8
Let x = -1882 - -1887. Calculate the remainder when 16 is divided by x.
1
Suppose -4*t - a + 638 = -3*a, 325 = 2*t + 5*a. Suppose -4*q - 46 = 4*c - 186, q + t = 4*c. Calculate the remainder when c is divided by 23.
16
Suppose 7*j = 74 + 94. Suppose -40*q + 42*q = 20. What is the remainder when j is divided by q?
4
Let z be (1 + -21)/4 - 116. What is the remainder when (-8371)/z - (-6)/(-33) is divided by 12?
9
Calculate the remainder when -496 - -524 - (32/(-6) + (-1)/(-3)) is divided by 4/(-6) + (-58)/(-6).
6
Let z(p) = 5*p**3 - 3*p**2 + 3*p - 1. Let f = 8 - 0. Suppose 3*v = -2 + f. Calculate the remainder when z(v) is divided by 9.
6
Let f = -3 + 18. Suppose 0 = 5*p + 3*j - 0*j - 261, -p + 57 = -j. What is the remainder when p is divided by f?
9
Let a = 85 - 82. Suppose 2*f - a*f - 2*q + 159 = 0, 5*f = 2*q + 795. What is the remainder when f is divided by 40?
39
Suppose -10 = -2*k, -4*f - 22*k + 27*k + 783 = 0. Calculate the remainder when f is divided by 98.
6
Let f(d) = -20*d - 1. Let t = -10208 + 10228. Calculate the remainder when f(-4) is divided by t.
19
Let j be (-165)/(-22)*(-4)/2. Calculate the remainder when 2/(-3) - 64/(-6) is divided by (j/10 + 3)*2.
1
Suppose 0 - 9 = -3*o. Suppose 3*b = 2*d + 275, o*b - 4*d - 265 = -0*b. Suppose -3*i - b = -8*i. Calculate the remainder when 56 is divided by i.
18
Let z(q) = -q**3 - 4*q**2 + 33*q + 10. Calculate the remainder when z(-10) is divided by 47.
45
Let j(m) = 2*m**3 + 3*m**2 - 18*m + 34. Calculate the remainder when j(6) is divided by 118.
112
Let g be 11 + -1 + 4 + -4. Let r be 54/10 + (-4)/g. Suppose -143 = -4*k + 3*z, -5 + 20 = r*z. Calculate the remainder when k is divided by 10.
8
Suppose -18*l = -306 - 432. What is the remainder when l is divided by 12?
5
What is the remainder when -4*(5 + 1067/(-44)) is divided by 23?
8
Let u = 34 + 217. What is the remainder when u is divided by 42?
41
Let x = -51 - -109. What is the remainder when 230 is divided by x?
56
Let t = 5 - 2. Suppose t*i + 3*i = -36. What is the remainder when 18 is divided by (-6)/(i/(-5))*-1?
3
Let k be (2/(-2))/((-4)/(-148)). Let u = 61 + k. Calculate the remainder when 166 is divided by u.
22
Let b be 0 + 12/(4/4). Suppose 7*a = b*a - 90. Calculate the remainder when 34 is divided by a.
16
Suppose 0 = 3*t + 4*r + 34, 3*t - 5*r - 4 = -2. What is the remainder when 62 is divided by (t*(-8)/12 - 0) + 12?
14
Let v = -8 - -12. Suppose v*a - 4 - 12 = 0. Suppose 0 = -a*b - l + 17, 22 = 4*b - 0*l + 2*l. What is the remainder when 10 is divided by b?
1
Let i(f) = -11*f + 88. What is the remainder when i(-23) is divided by 93?
62
Suppose 17 = l + a, -8*l + 2*a = -12*l + 64. Let d = 133 - 89. What is the remainder when d is divided by l?
14
Suppose 8 = -3*t + 2*t - 4*a, -t + a = -12. Calculate 