**2 + 17*s + 10. What is the remainder when a(19) is divided by 48?
45
Suppose -4*l - 52 = -2*v, l + 28 + 102 = 5*v. Suppose -36 = -3*c - 3*p, p = -4*c + 2*p + 58. Calculate the remainder when v is divided by c.
12
Suppose -3*a = -4*a + 2*j + 83, -a + j = -78. What is the remainder when a is divided by 25?
23
Suppose 0 = -g + 231 - 19. What is the remainder when g is divided by 41?
7
Let z(x) = 1. Let y(c) = 2*c**2 + 8*c + 2. Let o(b) = y(b) + 2*z(b). Suppose -3*j + 7*j + 20 = 0. What is the remainder when 39 is divided by o(j)?
11
Let g(b) = -8*b + 9*b + 64 - 9*b. Calculate the remainder when 36 is divided by g(7).
4
Let w(u) = -10*u + 5. Calculate the remainder when -5 + 959*17/119 is divided by w(-4).
42
Let w(q) = 3*q**2 - 17*q + 14. Calculate the remainder when 157 is divided by w(6).
17
Let i(b) = 24 + 3*b**2 - 5*b**2 - 20*b + 5*b**2 - 4*b**2. Let t be i(-21). Suppose -t*u + 6*u = 12. What is the remainder when 9 is divided by u?
1
Suppose -2*u = -5*p + 222, 3*p - 2*u = -p + 178. Suppose 0 = 4*i - 2*n - 147 - 193, 0 = 5*i + 5*n - 425. What is the remainder when i is divided by p?
41
Suppose 2*k = 3*g + 3, g + 6 = -0*k - k. Calculate the remainder when (76 - 0)*(-6)/(-8) is divided by (g - -21) + (-2 - 1).
12
Suppose 0 = -5*l - 67 - 183. Let q = l - -73. Suppose 3*v = -5*w + 444, 0 = -w + v - 6*v + 80. What is the remainder when w is divided by q?
21
Calculate the remainder when 128 is divided by 2 + 75/(-40) - (-7020)/160.
40
Let w(p) = -p**3 - 3*p**2 + 3*p - 5. Let s be w(3). Let x = -41 - s. Let c(a) = -27*a**3 + 2*a + 1. Calculate the remainder when c(-1) is divided by x.
8
Let u(j) = 84*j**3 - 3*j**2 + 2. What is the remainder when u(1) is divided by 7?
6
Suppose -20 = -2*f - 2*f, 0 = r + 5*f - 108. Suppose -66 = -2*p + 4*x - 4, 3*p - x - r = 0. Suppose -c = -0*c - 7. What is the remainder when p is divided by c?
6
Let z(c) = -c**2 + 12*c + 123. Calculate the remainder when 227 is divided by z(18).
2
Suppose 0 = 2*k + k - 18. Let q(t) = -19*t - 142. Calculate the remainder when q(-8) is divided by k.
4
Let i = -15 - -98. What is the remainder when i is divided by 3/5*(-60)/(-3)?
11
Let m(n) = -7*n**2 - 150*n + 50. Calculate the remainder when m(-13) is divided by 82.
79
Let f(j) = j**3 + 9*j**2 - 107*j + 113. Let d(y) = 44*y - 1. Let m = -2 + 5. Calculate the remainder when d(m) is divided by f(-16).
32
What is the remainder when (-8)/9*-173 - 2/(-9) is divided by (-20)/35*(-91)/2?
24
Suppose -38*h - y = -34*h - 222, -2*y - 60 = -h. What is the remainder when 1958 is divided by h?
54
Let k(m) = -48*m**3 - 5*m**2 - 4*m - 2. Calculate the remainder when 312 is divided by k(-1).
42
What is the remainder when (-7)/(-2)*672/12 is divided by 12?
4
Suppose -4*i = -2*i. Suppose -4*s + 12 = -i*s. Let a(p) = p**3 + 8*p**2 + 5*p - 3. Calculate the remainder when a(-7) is divided by s.
2
Suppose -5*p = -5*r - 6*p + 82, 5*p - 74 = -4*r. Calculate the remainder when 121 is divided by r.
9
Let m = -9 + 28. Suppose -5*y + m = -26. Suppose 4*h - 18 = -z - 4, 15 = -3*h. Calculate the remainder when z is divided by y.
7
Calculate the remainder when 116 is divided by 2*(63/14 - -8).
16
Let u(d) = -10*d + 23. Let o be u(-4). Let z = -50 + o. What is the remainder when 25 is divided by z?
12
Let r(g) = -9*g. Let m = -7 - -1. Let z(d) = 26*d + 1. Let h(l) = m*z(l) - 17*r(l). What is the remainder when 25 is divided by h(-5)?
7
Let m = 51 - 63. Calculate the remainder when 57 is divided by (0 + 30)*(16/m + 2).
17
Suppose 81*j = 76*j + 235. Calculate the remainder when j is divided by 12.
11
What is the remainder when 112 is divided by 1589/28 - (-3 + (-11)/(-4))?
55
Let m(h) = 2*h**3 - 5*h**2 - 5*h + 5. Let r be m(4). Calculate the remainder when 38 is divided by ((r + -3)/1)/((-6)/(-4)).
18
Suppose -2*w = -77 - 5. Let i = -32 + w. Calculate the remainder when 34 is divided by i.
7
Let d = 16894 - 16882. Let f = 52 - 29. What is the remainder when f is divided by d?
11
Let f(k) = -k**3 - 7*k**2 + 18*k + 13. Let g(q) = -2*q**2 + 1 + 2*q**3 - 5*q**2 + q - q**3. What is the remainder when f(-9) is divided by g(7)?
5
Let v = -8 + 11. Suppose 5*x + 4*h - 12 = 0, 5 + v = -4*h. What is the remainder when 8 is divided by x?
0
Suppose -3*g + 103 = -21*o + 25*o, 2*o + 78 = 2*g. What is the remainder when g is divided by 8?
5
Let x(n) = 3*n**2 - 67*n + 75*n - 5 - 2*n**2 - 1. Let v be x(-8). What is the remainder when 12 is divided by (-171)/(-27) - 4/v?
5
Let a(y) = -17*y + 4. Let m(x) = x - 1. Let u(t) = -2*a(t) - 10*m(t). Let p be u(2). Suppose -46*v - 40 = -p*v. What is the remainder when 26 is divided by v?
6
Suppose -1 = -q, -2*c - 2*q = 3*q - 13. Let w be ((-3)/12)/(6/(-264)). Suppose -c*v = -3*v - w. What is the remainder when 53 is divided by v?
9
Let i(z) = -55*z - 212. What is the remainder when i(-10) is divided by 34?
32
Suppose 9*z - 20 = 4*z. Let x be 14 - (-3 + (-4)/(-2)). Let v = x - 2. What is the remainder when v is divided by z?
1
Let s be -2*45*(-2)/(-4). Let p = -22 - s. Calculate the remainder when 112 is divided by p.
20
Let q(u) = 9*u. Suppose g - 7 = -r - 1, 3*r = 2*g - 2. Let k be q(r). Suppose -3*y + 39 = -k. Calculate the remainder when 53 is divided by y.
15
Let i = 190 - 160. Calculate the remainder when 55 is divided by i.
25
Let y(t) = t**2 + 5*t + 3. Let q be y(-3). Suppose -2*p = 3*z - 2*z - 31, -z - 74 = -5*p. Calculate the remainder when (-28)/(-3*q/(-18)) is divided by p.
11
Let p(z) = 3 + 2 + 14*z - 2 - 1. What is the remainder when p(3) is divided by ((-567)/14)/(-3) - 6/(-4)?
14
Suppose -9*q - 13 + 31 = 0. Suppose -3*u + 930 = q*u. What is the remainder when u is divided by 38?
34
Suppose 4*b = s + s - 30, -5*s + 57 = -4*b. Let m = s - 5. Calculate the remainder when 12 is divided by m.
0
Suppose 5*m = 5*x - 2*x - 476, 5*x - 3*m - 788 = 0. Suppose x - 45 = 8*k. Calculate the remainder when 25 is divided by k.
11
Let y = -95 + 156. What is the remainder when y is divided by 12?
1
Suppose -89 = 205*n - 204*n. Let j = -70 - n. Calculate the remainder when (-4)/6 + 556/6 is divided by j.
16
Let v(w) = 2*w + 1. Suppose 0 = -k + 3*k + 8. Let n(q) = q**2 + 5*q + 5. Let c be n(k). Calculate the remainder when 5 is divided by v(c).
2
Let d(n) = 4*n**2 - 2*n - 3. Let r = -4 - -10. What is the remainder when d(3) is divided by r?
3
Suppose y + 6 = -5*v - 0, -2*v = -4*y - 24. Calculate the remainder when 5 is divided by (-1 - -4) + (-6)/y.
1
Let q(f) be the second derivative of -f**4/6 + 5*f**3 - 2*f**2 + 21*f. What is the remainder when 95 is divided by q(14)?
23
Suppose j - 2*o - 3 + 4 = 0, 2*o = 2*j - 4. Suppose 2*a - j*a + 153 = 0. Calculate the remainder when a is divided by 27.
24
Let l = 266 - 238. What is the remainder when 221 is divided by l?
25
Suppose -8 = -5*v + 4*u, -4*v - u = -0*u - 19. Suppose n = v - 1. Let s = 16 + -11. What is the remainder when s is divided by n?
2
Suppose -1376 = -8*q - 384. Calculate the remainder when q is divided by 22.
14
Let i = 59 - 46. Let c(z) = -4*z + 10. Let v(t) = t - 3. Let m(j) = 2*c(j) + 7*v(j). Calculate the remainder when i is divided by m(-5).
1
Let r(g) = -3*g**3 - 11*g**2 - 7*g - 6. What is the remainder when r(-4) is divided by 30?
8
Let r be ((-126)/30)/((-9)/75). Suppose 3*h = 4*h + 4*c + 2, -5*c - r = -2*h. Calculate the remainder when 2/1 - (-27)/1 is divided by h.
9
Suppose 0 = -12*c + 223 - 67. Calculate the remainder when 23 is divided by c.
10
Suppose 7*a + 57 = 827. Suppose 5*u + 42 + 65 = 4*b, 115 = 4*b + 3*u. What is the remainder when a is divided by b?
26
What is the remainder when 217 is divided by 1/6*0 + 56?
49
Suppose -4*p - b = -7, -3*p + 5*b - 4*b + 14 = 0. Suppose 4 = m + s, -3*m + 0*s - 6 = -p*s. Calculate the remainder when 6 is divided by m.
0
Suppose -4*z = 2*b - 2, 0 = 2*z - 0*b - b + 9. What is the remainder when -1 - (-20 + (3 - z)) is divided by 8?
6
Suppose -9*z = -13*z + 152. Calculate the remainder when z is divided by 35.
3
Suppose -5*z + 15 = 0, 0*a - 5*a - 2*z + 111 = 0. Let s(w) = w - 1. Let x be s(1). Let k = x + a. What is the remainder when 41 is divided by k?
20
Suppose z + 22 = 26. Suppose 0 = -10*q + 74*q - 320. Calculate the remainder when q is divided by z.
1
Suppose 0*y - 3*y - 39 = -2*b, 4*b = -y + 71. Suppose 632 = -10*c + b*c. Calcu