 n + 67, -n + r = j. Calculate the remainder when j is divided by 11.
10
Suppose 3*t + 0*n - 4 = 4*n, -1 = n. Suppose 0*r + 2*r - 102 = t. What is the remainder when r is divided by 19?
13
Suppose 4*f + 1 - 17 = 0, 648 = 3*b + 3*f. Calculate the remainder when b is divided by 17.
8
Let x(s) = -9 - 24 - 21*s + 2 - 5. What is the remainder when x(-5) is divided by 37?
32
Suppose -2*y = -q - 23, 0 = -3*y - 5*q - 7 + 22. Suppose 3*t + 2*v - 114 + 6 = 0, 5*t = -v + 180. What is the remainder when t is divided by y?
6
Calculate the remainder when (-3953)/(-7) + -2*3/(-21) is divided by 63.
61
Let p = -14 - 15. Let l = 66 + p. Calculate the remainder when l is divided by 10.
7
Let j = -36 + 32. Calculate the remainder when 63 is divided by 13/(2/j*4 + 3).
11
Let d(f) = 38*f**2 + 5*f + 1. Let o be d(-2). Suppose -67 - o = -15*y. What is the remainder when 27 is divided by y?
13
Let w = 1197 - 1175. Calculate the remainder when 1143 is divided by w.
21
Suppose -20 = -3*y - 2*y. Suppose 5111 = -8*d + 5695. Calculate the remainder when d is divided by 1/(y/(-25))*-4.
23
Let g = 32 - 3. Let d(p) = -3*p**2 + 11*p - 6. Let w(b) = b**2 - b - 1. Let j(t) = d(t) + 2*w(t). Calculate the remainder when g is divided by j(6).
9
Let a = 31 + -14. Suppose -25 = -2*n + b - 11, -3*n + 27 = -3*b. Calculate the remainder when a is divided by n.
2
Suppose -4*y - 2*g + 168 = 0, 2*y - 5*g = -52 + 148. What is the remainder when y is divided by 210/18 + 4*(-3)/18?
10
Suppose 1118 = 5*m + 3*u - 337, 5*m = 5*u + 1415. Calculate the remainder when m is divided by 5.
3
Suppose n = 2*p - 6*p - 12, 3*n - 3*p + 51 = 0. Let h = n + 38. What is the remainder when h is divided by 13?
9
Let l(k) be the second derivative of -k**5/20 + 7*k**4/6 + 17*k**3/6 - 7*k**2 - 3*k. Calculate the remainder when 45 is divided by l(15).
13
Suppose -3*r + 5 = -1. Suppose -r*p + 18 = 6. Calculate the remainder when p is divided by 3.
0
Suppose 5*j - 5*p - 383 = j, j - 96 = p. What is the remainder when j is divided by (1/(-1) - 24)*-1?
22
Let g = 3 - -2. Suppose -11 = -g*m + 14. Let t = 102 - 100. Calculate the remainder when m is divided by t.
1
Suppose 19*t - 396 = t. What is the remainder when 104 is divided by t?
16
Suppose 5*m + w - 62 = 0, -2*m - 2*w - 3 = -23. Let q(h) = -h**2 + 37*h + 232. What is the remainder when q(42) is divided by m?
9
Let q be 6/(3/1 + -1). Suppose -2*c + 1 = -x, 3*c - c = 5*x - 11. Suppose 3*n - 42 = -c*b, b + 2*n = -q*n + 35. What is the remainder when 56 is divided by b?
11
Let z = 42 + -24. Suppose 2*w = 47 - 33. What is the remainder when z is divided by w?
4
Let l(q) = 4*q**2 + 5*q - 2. Let n(z) = 9*z**2 + 9*z - 4. Let c(d) = -11*l(d) + 6*n(d). What is the remainder when c(2) is divided by (3/21 - (-1248)/84) + -2?
10
Let n(m) = -5*m + 66. What is the remainder when 109 is divided by n(11)?
10
Let n(i) = i**3 - 5*i**2 - 7*i - 10. Let r(j) = 7*j + 19. What is the remainder when r(8) is divided by n(7)?
36
Suppose -13*r + 280 = 72. What is the remainder when (-2)/(-9) - 1420/(-9) is divided by r?
14
Let m = -1747 - -1768. Suppose 0*c + 32 = 4*c. What is the remainder when m is divided by c?
5
What is the remainder when 167 is divided by (14 - -26)/10 - (-14 + -1)?
15
Let w(o) = -4*o - 8*o - 4 + 23*o + 10*o. What is the remainder when 79 is divided by w(1)?
11
Let h = 65 - 67. Let f be 15*(6/9 - -1). Let i = f + h. Calculate the remainder when 88 is divided by i.
19
Let f = -586 - -588. Suppose -6 = -3*u + 12. Calculate the remainder when u is divided by f.
0
Let p = 89 + -53. Suppose -5*x - p = -8*x. Calculate the remainder when 21 is divided by x.
9
Let d = 25 + -15. Let k(t) = -3*t - 28. What is the remainder when d is divided by k(-10)?
0
Let j = 2632 - 2201. Calculate the remainder when j is divided by 113.
92
Let n(g) = -5*g**2 + 44*g + 35. Calculate the remainder when 46 is divided by n(9).
20
What is the remainder when 36 is divided by -5 - (-7)/((-42)/(-156))?
15
Let v = -15 + 25. Let n = 603 + -580. Calculate the remainder when n is divided by v.
3
Let x(u) = -u**3 + 10*u**2 - 3*u - 12. Let s be x(10). Let p = s - -67. What is the remainder when p is divided by 18?
7
Let a be 10 + (-2)/4*8. Let g be (-4)/a + (-55)/(-15). Suppose -3*y + q = -31, 0 = 4*y - q + g*q - 48. What is the remainder when 30 is divided by y?
8
Let p(m) = 9*m - 145. Calculate the remainder when 68 is divided by p(22).
15
Suppose -3*l + 5*y = -223, -y = -2*l - 3*y + 170. Calculate the remainder when l is divided by 38.
5
Let r(i) = -17*i - 174. What is the remainder when 127 is divided by r(-11)?
10
Suppose 119 = 1790*c - 1783*c. What is the remainder when 40/6*(-60)/(-8) is divided by c?
16
Let f be (-24)/(-60)*10/(-8)*-8. Suppose -f*z + 2*i + 152 = 5*i, -4 = -i. Calculate the remainder when z is divided by 18.
17
Let f(a) = 19 + 4*a - 54 + 9 + 18. Let k(c) = -5*c**3 + c**2 - c - 1. Let j be k(-1). What is the remainder when 29 is divided by f(j)?
13
Suppose 0 = -2*w - 4*u + 122, 38*u - 39*u = w - 57. What is the remainder when 91 is divided by w?
38
Let h(x) be the first derivative of 10*x**2 + 2*x + 1. Calculate the remainder when h(3) is divided by -6*95/(-35) + 2/(-7).
14
Suppose 2*g = p - 24, 0*g = -5*p + g + 165. What is the remainder when 236 is divided by p?
32
Let c = 1683 - 1321. Calculate the remainder when c is divided by 74.
66
Let k(g) = 223*g**3 - 4*g**2 + 3*g. Calculate the remainder when k(1) is divided by 16.
14
Suppose -48*k + 398 = -46*k. Calculate the remainder when k is divided by 50.
49
Let f = -28 - -39. Let q = 70 + -104. Calculate the remainder when (15/(-5) - q) + (-1 - -1) is divided by f.
9
Suppose -5*p = -5*l + 250, l + 3*l + 4*p = 224. Calculate the remainder when l is divided by 12 + (0 - -42)/7.
17
Let i = 12 + -10. Let u(g) = 2*g**2 + 4*g + i*g - 5 - 5*g - 3*g. Calculate the remainder when u(-3) is divided by 11.
8
Let y = -7 - -113. Calculate the remainder when y is divided by ((-1293)/(-3448))/(2/144).
25
Suppose m = 3*p + 281, 3*m - 1418 = -2*m + 2*p. Suppose -3*o - o + m = 0. What is the remainder when o is divided by 20?
11
Suppose -5*o - 10 = 0, d - 3*d = 2*o - 66. Calculate the remainder when 209 is divided by d.
34
Suppose o - 4*v = -2*o + 43, -78 = -4*o - 5*v. Calculate the remainder when 45 is divided by o.
11
Let y be 8/2 + -2 + 10. Let z be ((-6)/5)/((-23)/(-115)). Calculate the remainder when 20 is divided by 98/y - (-1)/z.
4
Suppose 0 = -4*w - m + 11, -5*m + 5 = 3*w - 16. Suppose -w*u + 12 = 2*p, -4*p + 10 = -3*u + 5*u. What is the remainder when u is divided by 0 + 1*(-3)/(-1)?
1
Let s = 34 + -11. Let c be (-192)/(-14) - (-6)/21. Suppose c*t = 21*t - 56. What is the remainder when s is divided by t?
7
Suppose 5*o = 8*m - 3*m - 190, -3*m = 5*o - 146. Suppose 2*c - m = -c. Calculate the remainder when c is divided by 8.
6
Suppose -4*b + 178 = 5*c - 149, 3*b = 2*c + 251. Calculate the remainder when b is divided by 19.
7
Suppose 2*y + 2*h = -18, h = y + 2*y + 27. What is the remainder when 6 is divided by 5/3 - 3/y?
0
Suppose -l + 6*l = 130. Suppose 14*f - 13*f + 20 = 0. Let q = f - -29. Calculate the remainder when l is divided by q.
8
Let u = 57 - 50. Suppose -8*d + u*d = -24. Calculate the remainder when d is divided by 18.
6
Let z be -2*(1 + 3 + -6). Calculate the remainder when 48 is divided by 333/36 + (-1)/z.
3
Let y = -450 - -636. Calculate the remainder when y is divided by 102.
84
Let n(y) = -y**3 - 7*y**2 - 2*y - 5. Let f(o) = o**3 + 7*o**2 + 8*o + 5. Let k be f(-6). Calculate the remainder when 15 is divided by n(k).
6
Let y = 38 + -16. Calculate the remainder when 60 is divided by y.
16
Suppose -26 + 283 = 3*m + 2*h, 5*m = 3*h + 422. Suppose -16*q + 463 + 241 = 0. What is the remainder when m is divided by q?
41
Let u(g) = g. Suppose -3*k + 5*j = 12, 5*k - 14 = -3*j - 0*j. What is the remainder when 2 is divided by u(k)?
0
Suppose 2*k - 7 = -3*v, -k = -0*k - v - 11. Let s = -35 + 37. Suppose 0 = -s*z + 4*z - 58. What is the remainder when z is divided by k?
5
Let i = 2288 - 2083. Calculate the remainder when i is divided by 11.
7
Suppose 0 = d - 14*h + 11*h - 3, -23 = -d - h. Calculate the remainder when 35 is divided by d.
17
What is the remainder when 4/(-7) - (-2 + (-1545)/21) is divided by 19?
18
Suppose 0 = p - 16 - 7.