te the remainder when 113 is divided by k(14).
13
Let t = -42 + 48. Let j(h) = h**2 - 3*h + 9. Calculate the remainder when 133 is divided by j(t).
25
Let b(r) = 3*r**2 - 22*r + 4. What is the remainder when 243 is divided by b(9)?
47
Suppose 0 = 6*g - 1090 - 608. Calculate the remainder when g is divided by 58.
51
Suppose 2*q + 2*a = 346 + 94, -2*q = 4*a - 450. Calculate the remainder when q is divided by 55.
50
Suppose -4 = 5*k - 154. What is the remainder when 80 is divided by k?
20
Let b(z) = -z**3 - 14*z**2 - 55*z - 12. Suppose -3*n = 2*n - 120. What is the remainder when b(-8) is divided by n?
20
Let g = -31 + 44. Let z = 122 - 49. Suppose -5*y - z + 113 = 0. What is the remainder when g is divided by y?
5
Suppose -27 = -5*b - 5*f + 3, b + 24 = 5*f. Let y(d) = -d**3 + 6*d**2 + 5*d + 3. What is the remainder when y(5) is divided by 0 - -18*b*1?
17
Suppose -2*h - 7 = -5*o - 41, 0 = 5*h + 4*o - 19. Suppose -5*n + h = -43. What is the remainder when 19 is divided by n?
9
Suppose 55*w = 64*w - 540. What is the remainder when w is divided by (2 - 1*-2)*4?
12
Suppose 117 - 9 = 4*o + 5*b, -3*o = -b - 81. Suppose 54*l - 123 = 255. What is the remainder when o is divided by l?
6
Suppose -5*y = -5*b - 218 + 138, -81 = -5*y + 4*b. What is the remainder when 71 is divided by y?
3
Suppose 2*j + 40 = -0*j. Suppose 5*l - 5*x - 75 = 0, -8*l + 11*l + 3*x - 51 = 0. Calculate the remainder when (1 - j)/((-1)/(-3)) is divided by l.
15
Let s = -159 - -269. Let m = -72 + s. Calculate the remainder when m is divided by 15.
8
Let f(t) = t**3 + 11*t**2 - 6*t + 4. Let u be f(-10). Let q = u - 88. Let l = q - 5. What is the remainder when l is divided by 18?
17
Suppose 0 = -3*z + 2*z + 20. Let s(o) = o - 3. What is the remainder when 48 is divided by s(z)?
14
Suppose u - 400 = -2. Calculate the remainder when u is divided by 40.
38
Let j(m) = m**2 + 2*m - 3. Let p be j(2). Let u(i) = i**2 + 2*i - 12. Calculate the remainder when 90 is divided by u(p).
21
Let o be 2/6 + (-120)/(-18). Suppose -11*v + o*v + 272 = 0. What is the remainder when v is divided by 10?
8
Let s = 83 + -75. Calculate the remainder when (-5)/20 + (-61)/(-4) is divided by s.
7
Calculate the remainder when 76 is divided by 27 + 1 - (29 + -21).
16
Suppose 117 + 207 = 18*r. What is the remainder when 27 is divided by r?
9
Suppose 0 = -f - 3*s - 6, f - 2*s = 3 + 6. Calculate the remainder when -3*(-40)/30 + 0/3 is divided by f.
1
Suppose -3 = 2*d - 9, -d + 4603 = 10*i. Calculate the remainder when i is divided by 29.
25
What is the remainder when 1 - (7 - 28) - -2 is divided by 10?
4
Calculate the remainder when 136 is divided by 1/(-3)*((6 - 5) + -121).
16
What is the remainder when (1607 - 0) + (4 + -10 - -12) is divided by 85?
83
Let h(z) = z**3 - 22*z**2 - 19*z - 59. Calculate the remainder when h(23) is divided by 9.
6
Let j = 27 - 18. Suppose j*t = 4*t + 5. Let d = t - -7. Calculate the remainder when 29 is divided by d.
5
Let o(g) = -g**3 + 10*g**2 + 12*g - 6. What is the remainder when 14 is divided by o(11)?
4
Suppose 2*d - 4 = -0*d. Let n be 768/(-1 + 5) + d. Suppose -n - 281 = -5*f. Calculate the remainder when f is divided by 32.
31
Let q(y) = -3*y**3 - 3*y**2. Let h be (-36)/15 - (-8)/20. Calculate the remainder when 35 is divided by q(h).
11
Let c = -17 + 13. Let y = 0 - c. Suppose 2*g - 3*g = -3. What is the remainder when y is divided by g?
1
Let q be (-3)/(-2*9/42). Let b(h) = h - 5. What is the remainder when 46/8 + 5/20 is divided by b(q)?
0
Let z(x) = -x**2 + 168. Suppose 3*v + 218 = 5*f, -2*v = 3*f - 0*v - 127. Calculate the remainder when z(0) is divided by f.
39
Let z(i) = i**2 - 7*i - 8. Let o be z(7). Let k be (-4)/o - 10/4. Let s = 31 - k. Calculate the remainder when s is divided by 18.
15
Suppose -5*z + 113 = -3*p - 67, 0 = 3*p + 15. Suppose u - z = 10. Calculate the remainder when u is divided by ((-2)/4)/((-9)/162).
7
Suppose 111 = -l + 4*n, 0*l - 4*n = 4*l + 364. Let p = 142 + l. Let y = p - 20. Calculate the remainder when y is divided by 15.
12
What is the remainder when (-2348)/(-52) + ((-252)/(-52) - 5) is divided by 18?
9
Let z(f) = -f**3 + 5*f**2 + 3*f - 10. Calculate the remainder when z(4) is divided by (-24)/(-8) - (0 - -2 - 6).
4
Suppose -2*y + 2*a + 84 = 0, -18*a + 21*a = -9. What is the remainder when 86 is divided by y?
8
Calculate the remainder when (-328)/(-410) - 982/(-10) is divided by 8.
3
Suppose 4*c - 5*t = -25, 0 = -c + 2*t - 3*t + 5. Suppose c = -2*w + 5*w - 60. Suppose 174 = 916*a - 913*a. What is the remainder when a is divided by w?
18
Let c(b) = 6*b**2 - 134*b - 57. What is the remainder when c(23) is divided by 9?
8
Suppose -168 = -10*d + 182. Suppose -5*o = 3*v - 25, 2*o = 5*o - 3*v + 9. Suppose 2*w = -o*w + 48. What is the remainder when d is divided by w?
11
Let q(i) = 14*i + 13. Let z be q(-1). Suppose 0 = -2*o - 8 + 4. What is the remainder when 21 is divided by z*1 - 26/o?
9
Let o = 172 + -142. Calculate the remainder when 31 is divided by o.
1
Suppose 5*w - 3*t - 158 = 0, 0 = -t + 85 - 81. Let a = -66 + 133. What is the remainder when a is divided by w?
33
Let z(h) = h**2 - 339*h - 3476. Let v(y) = -y**3 + 8*y**2 - 7*y - 1. What is the remainder when v(5) is divided by z(-10)?
11
Suppose 4*w + 181 - 197 = 0. Suppose -5*z = -4*q + 48, -q + 0*q + 2*z = -15. Calculate the remainder when q is divided by w.
3
Suppose -2*m - m = 3*w - 21, -3*w = -2*m + 19. Let z = -27 - -29. Suppose -z*p = -p - 23. Calculate the remainder when p is divided by m.
7
Let o be (-111)/(-5) - 2/10. Suppose -k + o = 6. Suppose 2*v = 25 + 33. What is the remainder when v is divided by k?
13
Let m = -1410 - -1455. Calculate the remainder when 391 is divided by m.
31
Let g = -82 - -119. Suppose 0 = -89*u + 13*u + 608. What is the remainder when g is divided by u?
5
Let d = -132 - -71. Let r = d - -94. Suppose -4*m - 5 = -3*m, -5*m - 37 = -g. What is the remainder when r is divided by g?
9
Suppose 0 = -2*d - 4*k + 3 + 25, 3*d - k - 35 = 0. Suppose -5*u = 2*q + 3*q + 25, u - 5*q = -11. Let s = d + u. What is the remainder when 15 is divided by s?
3
Suppose -5*a = -3*b + 35, b + 4*a + 15 = 4. Calculate the remainder when b/(15/138) + (-6 - -7) is divided by 24.
23
Suppose x - w = 94, 3*x - 3*w - 274 = -2*w. Calculate the remainder when x is divided by 23.
21
Suppose 3*l - 2*l = 0. Suppose -3*i = -l*i - 99. Calculate the remainder when 130 is divided by i.
31
Suppose -12*j - 3*n = -10*j - 805, -j + 425 = -3*n. Calculate the remainder when j is divided by 83.
78
Let c(a) = -13 - 3*a - 3*a**2 + 4*a**2 + 8*a. Suppose 2*k - 53 = 5*d, -12*d - 4*k + 7 = -11*d. What is the remainder when c(d) is divided by 6?
5
Let k(h) = h**2. Let u(l) = 4*l**2 + 8*l + 8. Let t(j) = -5*k(j) + u(j). What is the remainder when t(5) is divided by 9?
5
Let q be (5 + (-65)/15)/((-1)/(-3)). Suppose 0 = -3*y - q*j + 22 + 12, 0 = -3*y + 5*j + 41. Calculate the remainder when 35 is divided by y.
11
Suppose 16*x = 13*x + 69. Suppose -2*c - x = 17. What is the remainder when 3 is divided by c/(-8) + 3/6?
0
Let a(z) = -z + 19. Let h be a(19). Suppose 5*c - 91 - 169 = h. Calculate the remainder when c is divided by 27.
25
Let t be 3/(-9) + (-348)/(-18). Suppose -2*a + a + t = -l, -3*l = 3*a - 87. Calculate the remainder when a is divided by 13.
11
Let x(d) = -2*d + 21. What is the remainder when 194 is divided by x(-9)?
38
Suppose -3*t - 9 = -6*t. Suppose -l + t*l - 110 = 0. Let h(w) = -18*w + 1. What is the remainder when l is divided by h(-1)?
17
Let f(a) = 7*a**2 + 2*a + 27. What is the remainder when f(-7) is divided by 17?
16
Suppose 2*h = -2*v + 4, 5*h + v - 8 = h. Suppose 0 = -2*p + 3*m + 68, -3*m + 6*m = -h*p + 80. Let x = -42 + 50. Calculate the remainder when p is divided by x.
5
Suppose -3*w = -5*w + 16. Let m(a) = -a - 3. Let s be m(-3). Suppose -12*b + 14*b - 24 = s. Calculate the remainder when b is divided by w.
4
Let j(k) = 3 + 5 + 13*k**2 + k**3 - 34*k + 46*k. Suppose 4*a + 5*d - 138 = 0, -5*a + 0*a + 3*d + 191 = 0. Calculate the remainder when a is divided by j(-12).
5
Let s(o) = -o + 1. Let h(x) = x - 2. Let m(u) = 4*h(u) + 5*s(u). Suppose -b = -j + 8, 5*b + 9*j + 40 = 4*j. What is the remainder when 24 is divided by m(b)?
4
Let r(g) = -27*g - 21. Calculate the remainder when r(-4) i