9. What is the remainder when r is divided by 27?
25
Let r(u) = -u**3 - 7*u**2 - 3*u - 17. Let w be r(-7). Suppose -5*o + 172 = -4*z, 3*z - 87 = o - w*o. Calculate the remainder when 94 is divided by o.
30
Let d(j) = -47*j + 588. What is the remainder when d(10) is divided by 69?
49
Let w = -1 - 3. Let p be (-3 - w - -2)*1. Let l = p - -5. What is the remainder when l is divided by 5?
3
Suppose 5*i + 20 = 0, 2*a - 3*a - 3*i = 6. Let d(h) = 5*h - 19. Let t be d(a). Suppose 4*j - 69 = t. What is the remainder when 58 is divided by j?
18
Suppose 5*z - 178 - 72 = 0. Let v = -149 + 167. What is the remainder when z is divided by v?
14
Suppose -24 = -3*x - 2*t, -3*t = 81*x - 76*x - 40. Calculate the remainder when 125 is divided by x.
5
Suppose -5*z + 5*f - 4*f + 84 = 0, 5*z - 88 = 2*f. Suppose -4*j = u - 56 - 63, j = -4*u + 26. What is the remainder when j is divided by z?
14
Let z(r) = r**2 + 2*r + 2. Let d be z(-2). Suppose d = 7*j - 124. What is the remainder when j is divided by 5?
3
Let k be 38/6 - (-2 - (-14)/6). Calculate the remainder when 106 is divided by 3 + 4/k + 215/15.
16
Let y(f) = f**3 + 4*f**2 - 12*f - 23. Let v be y(-5). Suppose 0 = -3*z, v*q + 3*z = 14*q - 50. Calculate the remainder when 2/(((-2)/73)/(-1)) is divided by q.
23
Let o = -288 + 313. Calculate the remainder when 145 is divided by o.
20
Let f = -2 + 7. Suppose -16 = -4*m + i, -2*m - 29 = -5*m + f*i. Suppose 0 = 2*y + a - 2, 3*y + m*a + 4 = 1. What is the remainder when 13 is divided by y?
1
Suppose 0 = -5*u + 51 + 69. Let a(r) = 30*r**3 + r**2 + r - 2. Let q be a(1). What is the remainder when (q/(-8))/((132/224)/(-11)) is divided by u?
22
Let a(k) = 3*k - 5. Calculate the remainder when -2 + 3 + 0 + 35 is divided by a(5).
6
Let n = 1278 + -1157. What is the remainder when 357 is divided by n?
115
Suppose 17 = -11*x + 468. Calculate the remainder when x is divided by 15.
11
Let v be (3 - -1) + -3 + -1. Suppose m - 34 = -v*m. Suppose -4*w = 2*s - 0*w - m, -5*w - 10 = -5*s. Calculate the remainder when s is divided by 2.
1
Suppose -6*c = -2*c - 4*z + 28, 3*z - 3 = c. Let d = 43 + c. Calculate the remainder when d is divided by 12.
10
Let i(t) = -7*t + 7. Let o be i(6). Let b = 6 - o. Let k = b - 16. What is the remainder when 98 is divided by k?
23
Let t = -81 + 73. What is the remainder when 12*(1 + 4/t) is divided by 2?
0
Let y = 130 - 120. What is the remainder when 49 is divided by 1*(12 + y - (0 + -4))?
23
Let t = 17 - 10. What is the remainder when ((-34)/10 - (-10)/25) + 20 is divided by t?
3
Let i = 19 - 19. Suppose -5*d + d + 28 = i. Suppose d*l - 9*l = -12. What is the remainder when 21 is divided by l?
3
Let t = -17 - -29. Let m = t + -10. Suppose f + 24 = -4*a + 131, m*a - 3*f - 57 = 0. Calculate the remainder when a is divided by 7.
6
Let i = -9 + 9. Let w be 1 - (2 + -5 + i). Suppose 6*q - 18 = w*q. What is the remainder when 35 is divided by q?
8
Let w(q) = -q**3 + 2*q**2 + 32*q + 11. What is the remainder when w(6) is divided by 8?
3
What is the remainder when 52 + -1 - (94 + -10)/(-12) is divided by 33?
25
Suppose 0 = 5*n - k - 13, -20 = -25*n + 21*n - 4*k. Calculate the remainder when 290 is divided by n.
2
Suppose 0 = -x + 16 - 2. Calculate the remainder when ((-3)/((-21)/(-14)) - -35) + 6 is divided by x.
11
Let o be 3/6*-2*-11. Let n = 16 - o. Let b = -135 + 149. What is the remainder when b is divided by n?
4
Let k(i) = -2*i**2 - 9*i + 2. Let m(j) = -j**2 - 8*j + 2. Let t(x) = 2*k(x) - 3*m(x). Let w be t(6). What is the remainder when 33 is divided by (-2 - 3/w)*-36?
15
Let y(f) = 2*f**2 - 8*f - 14. Calculate the remainder when y(-4) is divided by 15.
5
Suppose 4*q - 24 = 2*q + 5*x, 3*q - 11 = -5*x. Let n = 15 - q. What is the remainder when (1 + 0)*(24 + -1) is divided by n?
7
Let a(k) = -3*k**3 - 4*k**2 + k - 21. Calculate the remainder when a(-5) is divided by 63.
60
Let y = 958 + -940. What is the remainder when 69 is divided by y?
15
Suppose -38*h - 360 = -1956. Calculate the remainder when 80 is divided by h.
38
Let s(u) be the third derivative of u**5/30 - u**4/6 + u**3/2 - 8*u**2. Let l be s(3). What is the remainder when 26 is divided by l + (4/4 - 1)?
8
Calculate the remainder when 2/((-4)/(-453))*142/213 is divided by 22.
19
Suppose 0 = -0*v - v - 4. Let t be 8 + v - (-4)/(-2). What is the remainder when 81 is divided by -30*(0 + t/(-5))?
9
Suppose 3*l - 369 = 417. Calculate the remainder when l is divided by 67.
61
Suppose 0 = 58*b - 382 - 24. Calculate the remainder when 44 is divided by b.
2
Let a = -687 - -782. What is the remainder when a is divided by 15?
5
Suppose -2*m - 169 = -5*c, 3*m + 0 = -6. Let r be 84/(-6) + 1*-1. Let b = r + 27. Calculate the remainder when c is divided by b.
9
Let g(n) = 55*n**2. Let b be g(-1). Let q = 27 + -25. Suppose q*v - b = 111. Calculate the remainder when v is divided by 29.
25
Suppose 0 = -4*i + i - 12, -2*j + i = -38. Suppose -15 + 45 = q. What is the remainder when q is divided by j?
13
Let d = -72 + 82. Calculate the remainder when ((24/(-15))/1)/((-4)/d) is divided by 3.
1
Suppose 4*b + 5*v = -0*v + 481, 3*b - 3*v = 354. Calculate the remainder when b is divided by 36.
11
Let i = 613 + -331. What is the remainder when i is divided by 19?
16
Suppose l + 3*l + 2*k - 674 = 0, 317 = 2*l - 3*k. What is the remainder when l is divided by 54?
4
Let y(h) = -h**3 - 12*h**2. Let g be y(-12). Suppose t = -g*t + r + 9, -5*r - 33 = -4*t. What is the remainder when t is divided by 7?
5
Let i = -378 - -517. Calculate the remainder when i is divided by 44.
7
Let v(x) = -x**2 - 15*x + 6. Let q be v(-13). Let h = 16 - q. What is the remainder when 42 is divided by 84/(-14)*h/6?
10
Let m(b) = -b**2 - 13*b + 1. Let x = -11 - 1. Calculate the remainder when 23 is divided by m(x).
10
Calculate the remainder when ((-32)/(-20))/(7/(485 - -5)) is divided by 39.
34
Let g be (-1 + 1)*(5 + -6). Suppose -4*l = x - 18, g = 2*l + 3*l + 5. What is the remainder when 64 is divided by x?
20
Let c(a) = 7*a**2 + 4*a + 4. Let l be c(-2). Calculate the remainder when (-7)/(7/(-3))*l/2 is divided by 10.
6
Suppose 0 = b - 33 + 2. Calculate the remainder when 71 is divided by b.
9
Suppose 2*i - 5*v = -9 - 0, -2 = 2*i + 2*v. Let z = i - -14. Suppose -5*w - 3*c + 66 = -c, -z = -4*c. What is the remainder when 81 is divided by w?
9
Let r(y) = y**2 - 14*y + 11. Calculate the remainder when r(-5) is divided by 59.
47
Suppose -6*q = -2*q - 164. Suppose 0*j + q = j. What is the remainder when j is divided by ((-4)/30 + (-1408)/990)*-9?
13
What is the remainder when (-624)/(-65) + 2 + (-26)/10 is divided by 8?
1
Suppose -2*d = 2*d - 820. Let p = -51 + d. What is the remainder when p is divided by 52?
50
Suppose -4*t = 2*p - 174, -t = 3*t - 2*p - 178. Calculate the remainder when 349 is divided by t.
41
Let u(r) = r**3 + 7*r**2 - 21*r - 28. Let v be u(-9). Let m(b) = 10*b**2 + 6*b + 2. What is the remainder when 12 is divided by m(v)?
0
Suppose -39 = -4*n + 293. Calculate the remainder when n is divided by ((-664)/(-56) + -12)/((-1)/119).
15
Let w be (2*-2 + 2)/(-1). Suppose -i = w - 19. Calculate the remainder when 32 is divided by (-7)/(-7)*i*1.
15
Let q = 23 - 33. What is the remainder when (-8)/20 - 164/q is divided by 1 - -5 - (-1 - 2)?
7
Let n(l) = 2*l**2 + 12*l + 57. Calculate the remainder when n(-6) is divided by 5.
2
Let f be (-3)/((-19)/(-22) + -1). Let t = -15 + f. Suppose 5*g - t = 2*v + 58, 0 = 3*v - 15. What is the remainder when 26 is divided by g?
11
Let u(h) = -h**2 + 7 - 224*h + 228*h + 2*h**2. Let q(f) = f - 1. Let o be q(-3). What is the remainder when u(o) is divided by 3?
1
Suppose 21 = 2*j - 11. Suppose -q + 2*l + 18 = 0, 5*l + j = q + 2*l. What is the remainder when 63 is divided by q?
19
Suppose -5*q + 450 = 2*w - 87, -w = -1. Calculate the remainder when q is divided by 31.
14
Let u = -2350 - -2371. What is the remainder when (-2)/(-8) - (-155)/4 is divided by u?
18
Suppose -16*c + 26 + 22 = 0. Suppose 88 = c*f - 11. What is the remainder when 65 is divided by f?
32
Suppose 0*h + 8 = 2*h. What is the remainder when 12 is divided by h?
0
Suppose 1727 + 793 = 7*x. What is the remainder when x is divided by 119?
3
Let m(t) = 16*t - 23. Calculate the remainder when 117 is divided by m(4).
35
Suppose -3*g + 87 - 2