.
15
Let h = -431 - -509. What is the remainder when 310 is divided by h?
76
Let c = -190 - -227. Calculate the remainder when c is divided by 11.
4
Let m = 38 + -17. Let a = 15 - 15. Suppose -2*k + 175 = -3*d + 24, a = -5*d + 25. What is the remainder when k is divided by m?
20
Suppose 4*v - 1 + 5 = 0. What is the remainder when 0/(-4 + v) - 115/(-1) is divided by 39?
37
Let j(m) = -m**2 + 9*m + 1. Let f be j(5). Let d = 40 - f. Suppose 9*q = 10*q - d. Calculate the remainder when 55 is divided by q.
17
Let g(q) = 128*q**3 + q**2 - 3*q + 2. What is the remainder when g(1) is divided by 23?
13
Let i(q) = -q**2 - 17*q + 5. What is the remainder when i(-8) is divided by (46/23)/((-2)/(-22))?
11
Suppose 373 = 2*w + 2*g - 393, 8 = 2*g. What is the remainder when w is divided by 35?
29
Let c be 10 + -11 + 1 + 4. Suppose -c = 112*t - 113*t. Suppose 0 = s + 4 - 0, -s - 2 = w. What is the remainder when t is divided by w?
0
Suppose 0*p + 52 = p. Calculate the remainder when 1194 is divided by p.
50
Let i = 3 - -2. Let c = -899 - -913. What is the remainder when c is divided by i?
4
Let c(h) = -3*h - 7. Let o be c(0). Let q(x) = x**2 + 2*x + 17. What is the remainder when q(o) is divided by 18?
16
Let o = 25 + -23. Suppose 4*h - 270 = -3*r, -4*h + r = -o*r - 258. What is the remainder when h is divided by 17?
15
Let o(i) = -7*i - 75. Calculate the remainder when o(-20) is divided by 18.
11
Let m(f) = -3 + 8 + 8*f + 0 + f**2. Let a = -27 + 80. Calculate the remainder when a is divided by m(-9).
11
Suppose 25 = -2*z + 3*i, -3*i + 9 = -0. Let l(n) = n**3 + 9*n**2 + n + 9. Let t be l(z). Calculate the remainder when t + -2 + 3 + -4 is divided by 21.
20
Let u = -146 - -324. What is the remainder when u is divided by 47?
37
Let q = -152 - -270. Let m = -76 + q. Let y = -37 - -52. What is the remainder when m is divided by y?
12
Let k = -137 + 172. Suppose 3*s = 4*c - 152 + k, -153 = -5*c - 3*s. What is the remainder when 118 is divided by c?
28
Let j(b) = -1 + b + 6 + 2. Let h be j(-5). Suppose -h*w = w - 9. What is the remainder when 7 is divided by w?
1
Let g = -22 + -69. Let b = 113 + g. Calculate the remainder when 152 is divided by b.
20
Let i = -887 + 1407. Suppose -5*f + i + 70 = 0. Calculate the remainder when f is divided by 30.
28
Suppose -o = 5*l - 261, -4*l = -0*l - 2*o - 220. Let w(v) = -v**2 + 16*v - 32. Let j be w(14). Calculate the remainder when l is divided by (-16)/j + -1 + 11.
11
Let g = 617 - 506. What is the remainder when g is divided by 5?
1
Let c(k) = k**3 + 2*k**2 + k + 40. Calculate the remainder when 121 is divided by c(0).
1
Suppose 5*x - 20 = -u, -5*x + 20 = -2*u + u. Suppose -28 - 204 = -4*i. Suppose f + x = 0, -2*f - i = -7*n + 2*n. What is the remainder when 37 is divided by n?
7
Let q(h) = -h**3 - 8*h**2 + 4*h - 4. Let z be q(-9). Let s = z + -33. Calculate the remainder when 121 is divided by (-291)/(-9) - s/6.
28
Suppose -3*y - s = -55 - 13, -y + 4 = 5*s. What is the remainder when 135142/1470 + 2/30 is divided by y?
20
Suppose -35 = -5*u - 4*o, o = -3*o - 20. Calculate the remainder when u is divided by (-18)/(-1)*(44/(-12) - -4).
5
What is the remainder when 31 is divided by 2*(4 + 5 + 3)?
7
Let b(x) = -5*x**2 - 3*x - 2. Let w be b(-1). Suppose j = 2*j. Let c = j - w. What is the remainder when 14 is divided by c?
2
Let y = 211 + -186. What is the remainder when y is divided by 14?
11
Suppose 19*n - 3*n = 112. Calculate the remainder when 14 is divided by n.
0
Let x = -147 - -162. Calculate the remainder when 1093 is divided by x.
13
Suppose 0 = 5*c - 248 - 167. Let d = c + -40. Calculate the remainder when d is divided by 11.
10
Suppose -13*a + 761 = 20. Calculate the remainder when a is divided by 20.
17
Suppose i - 23 = -4. What is the remainder when i is divided by (15/(-12))/(7 - 174/24)?
4
Suppose -950 = -3*b - 350. Calculate the remainder when b is divided by 34.
30
Suppose 3*p + 2 = 20. Suppose -p*l = -5*l - 7. Suppose -4*z - n + 74 = 0, -68 = -5*z + z - 4*n. What is the remainder when z is divided by l?
5
Let n = -642 + 655. Calculate the remainder when 41 is divided by n.
2
Let o(m) = 2*m**2 - 21*m + 19. Suppose 0 = -5*u + 2*a - a + 60, u - 12 = 4*a. What is the remainder when o(10) is divided by 1*-21*(-4)/u?
2
Suppose 24 = 2*c - 18. Suppose -5*s + 10*s + 3*t - 212 = 0, 5*t - 20 = 0. Calculate the remainder when s is divided by c.
19
Suppose 5*h - 109 = -3*b, 2*b - 39 = -5*h + 67. Suppose 0 = -2*f + f - 1, -5*f + 19 = 2*k. What is the remainder when h is divided by k?
8
Suppose 3*i - 41 - 192 = 5*f, 188 = -4*f + 2*i. Let g = -18 - f. Suppose 3*u - 13 = 20. What is the remainder when g is divided by u?
9
Let j = 77 + -72. Suppose -6*a = -2*a - j*m - 25, 0 = -m + 3. Calculate the remainder when 37 is divided by a.
7
Suppose 4*k = -27 + 127. Calculate the remainder when 39 is divided by k.
14
Suppose -4*b = -4*p + 9 - 5, -2*p = -3*b. Calculate the remainder when -2 + 3 + -4 - (-54 - b) is divided by 11.
9
Let w(k) = -5*k - 2*k + k - 1. Let q(a) = -7*a - 1. Let v(g) = 4*q(g) - 5*w(g). What is the remainder when 44 is divided by v(11)?
21
Let r(x) = -x**3 - x + 24. Suppose -4*d = 5*m - 49, -13*m + 9*m + 38 = 2*d. What is the remainder when r(0) is divided by m?
6
Let p = -500 - -535. Calculate the remainder when 135 is divided by p.
30
Let f = -103 + -9. Let n = -106 - f. Calculate the remainder when 21 is divided by n.
3
Calculate the remainder when 11 is divided by (-44)/(-16) + (-4)/(-16).
2
Suppose -11*y + 14*y + h - 594 = 0, 2*y = -3*h + 396. Calculate the remainder when y is divided by 1 + (-3 - -1) + 52.
45
Let w be (0/(0 + 4))/(-2). Let c = 77 + -52. Suppose b - c - 31 = w. Calculate the remainder when b is divided by 15.
11
Let u = -1302 - -1333. What is the remainder when 276 is divided by u?
28
Let g(y) = 21*y**3 - y**2 - 49*y + 100. What is the remainder when g(2) is divided by 3?
1
Let s(g) = -4*g**3 - g**2 + 6*g + 7. What is the remainder when 53 is divided by s(-2)?
7
Suppose 394 = 3*m - 4*d - 169, 2*d - 394 = -2*m. What is the remainder when m is divided by 51?
40
Suppose 0 = -3*y + 4*y - 2, -3*g + 5*y = -50. Suppose -4*v - j + 152 = 0, v - 32*j = -35*j + 49. What is the remainder when v is divided by g?
17
Let n(x) = x**2 - 10*x + 14. Let j be n(8). Calculate the remainder when 12 is divided by j + 16 + -1 + (5 - 8).
2
Suppose 123 = q + 105. What is the remainder when 121 is divided by q?
13
Let k = -9 - -12. Let v(d) = k - 9*d + 10*d - 1 + 2*d**2. What is the remainder when v(-4) is divided by 16?
14
Let i = -41 + 76. Let l = 294 + -285. What is the remainder when i is divided by l?
8
Let o = 7 + -2. Let g(s) = -s**3 + 3*s**2 + 4*s + 4. Suppose -3*i = -6*x + 2*x - 12, -5*x = -4*i + 16. Calculate the remainder when o is divided by g(i).
1
Let p = 3 + 1. Let j(g) = -g**2 + 6*g - 2. Let a be j(p). Suppose a*k = 2*k + 140. Calculate the remainder when k is divided by 18.
17
Suppose v - 2*v + 12 = 0. Suppose -4*w + 0*r = -2*r - 12, -4*w + 4*r = -16. Let u = w + v. What is the remainder when 27 is divided by u?
13
Suppose 7*k = 18 + 829. What is the remainder when k is divided by 62?
59
Let o = -287 - -305. Suppose 3*t - 2*k - k = 144, -5*t - 2*k + 226 = 0. What is the remainder when t is divided by o?
10
Let o(p) = 2*p + 27. What is the remainder when 327 is divided by o(14)?
52
Let s = -277 + 362. Suppose -129 = -2*u - u. Calculate the remainder when s is divided by u.
42
Let d = -868 - -897. What is the remainder when 345 is divided by d?
26
Let p be 3*(-20)/(-15) + 31. Let r = p - 21. Calculate the remainder when r is divided by 6.
2
Let m be 4/(-10)*(6 + -16). Let j(b) = 2*b**2 - 4*b. What is the remainder when 29 is divided by j(m)?
13
Let g(t) = -t**2 + 6*t + 30. What is the remainder when g(5) is divided by 19?
16
Let k = 35 + -28. Suppose k = 4*n - 5. Suppose n*r = -3*r + 162. Calculate the remainder when r is divided by 14.
13
Suppose -4*f + 20 = -8*f. What is the remainder when 2 + f/(5/(-24)) is divided by (-7)/63*0 + 9*1?
8
Suppose 301 - 26 = 25*s. Calculate the remainder when 41 is divided by s.
8
Let w(j) = 13*j**3 + 2*j - 1. Let a be w(1). Suppose 0 = -z + 6 + a. Calculate the remainder when 98 is divided by z.
18
Let n(o) = o**2 - 3. Let v be n(0). Let a(i) = -i**3 + i**2 + 3*i - 2