is divided by p(1).
5
Suppose -3*c - 6 = r - 32, -29 = -2*c - 3*r. Suppose -c*n + 95 = -367. Calculate the remainder when n is divided by 18.
12
Let m = -211 + 322. Let z = m - 1. What is the remainder when z is divided by 57?
53
Suppose -3*l + 222 = 45. What is the remainder when l is divided by 3?
2
Suppose -575 = -5*z - 3*i, z - 5*z = -4*i - 492. Let u(b) = -14*b + 20. Let c be u(5). Calculate the remainder when z is divided by (78/(-65))/(2/c).
28
Suppose -6*d = -29 - 115. Let s be 2/5 + (-8)/(-5). Suppose -s*z = 19 - 45. Calculate the remainder when d is divided by z.
11
Let z(t) = t**3 + 4*t**2 - 20*t - 27. Suppose 2*i = 6*i - 20. What is the remainder when z(-6) is divided by i?
1
Let y(v) = -4*v + 3. Let f be y(-8). Let z = -10 + f. Let j(a) = 4*a**2 + a. Calculate the remainder when z is divided by j(-2).
11
Suppose 5*l = -3*j - 0 + 87, -116 = -4*j - 5*l. Calculate the remainder when 103 is divided by j.
16
Suppose 4*o + 2 = 2*u - 3*u, -u - 4 = 5*o. What is the remainder when ((-8)/(-10))/(2/20) is divided by u?
2
Let p = 617 + -395. Suppose -b + p = 4*t - 179, 304 = 3*t + 4*b. What is the remainder when t is divided by (-16)/12*((-110)/4 - -2)?
32
Suppose 246 = -6*x + 2370. Calculate the remainder when 362 is divided by x.
8
Let x = 11 - -26. Suppose 2*f - 5*m - 41 = 0, m + 4 = -1. What is the remainder when x is divided by f?
5
Suppose -144 = 50*y - 54*y. Calculate the remainder when 121 is divided by y.
13
Let v(m) = m**3 - m**2 - 10. Let p be v(3). What is the remainder when 56 is divided by 5/(2/p - (-10 + 10))?
16
Let t = 35 - 37. What is the remainder when (-3304)/(-30) - t/(-15) is divided by 28?
26
Suppose -l = -2*h + 6, 0 = 4*l - 2*h + 9 - 3. Suppose 0*o - 5*y + 123 = o, l = 3*o - 5*y - 389. Calculate the remainder when o is divided by 10.
8
Suppose 5*r - 822 = -4*j, 2*j - 5*j - r = -611. Calculate the remainder when j is divided by 6.
5
Let v = 189 - 172. Calculate the remainder when 101 is divided by v.
16
Let g be -5*(-20)/25 - -1. Suppose g*v - 17 - 58 = 0. What is the remainder when 41 is divided by v?
11
Let l = 77 + -73. Suppose -3*y + y - 2*a + 12 = 0, -3*y + 4*a = -46. What is the remainder when y is divided by 48/(-18)*(-6)/l?
2
Let h be 0/1 - 3 - (14 - 22). Suppose -4*i = 3*v - 208, -2*i + 7*i - 295 = h*v. Calculate the remainder when i is divided by 28.
27
Suppose p - 52 = -3*d, -9*p - 42 = -2*d - 6*p. Suppose c - d = 45. What is the remainder when c is divided by 33?
30
Let h = 1028 - 922. What is the remainder when 952 is divided by h?
104
Let o = 124 - 14. Suppose 0*d + 528 = 4*d - u, 0 = 3*u. Suppose 5*y = -2*l + 68 + 64, d = 4*y - 5*l. What is the remainder when o is divided by y?
26
Let r = -14 - -128. Let j(c) = 15*c**2 - 13*c - 2. Let u be j(3). Suppose -2*d - u = -4*b, 5*d - r = -4*b + 3*d. What is the remainder when 76 is divided by b?
24
Let l(i) = i**2 - 6*i - 38. Suppose 0 = -5*w + 58 - 3. What is the remainder when 203 is divided by l(w)?
16
Suppose -g + 26 = 2*z - z, -z = -2*g + 43. Suppose 76 = 5*c + 4*i + g, -5*i - 2 = c. Calculate the remainder when 48 is divided by c.
9
Let i(h) = h - h - 5 + 0*h**2 - h + 2*h**2. Let o(m) = -m**3 - 5*m**2 + 5*m + 7. What is the remainder when i(4) is divided by o(-6)?
10
Suppose 3*m = 5*k - 313, 4*k - 232 - 15 = -m. What is the remainder when 167 is divided by k?
43
Let f be (0 - (-5 + 1)) + 1. Suppose 2*x - 5*v = 27 + 60, 3*x - 128 = f*v. Let s(c) = c**2 + 93*c - 2246. Calculate the remainder when x is divided by s(-113).
13
Let i = -560 + 634. Calculate the remainder when 145 is divided by i.
71
Let f(n) = 2*n**3 - 4*n**2 + 3*n - 1. Let p be f(2). Let z = p - 3. Suppose -z*s = 5 - 19. What is the remainder when 11 is divided by s?
4
Let m = -50 - -166. Suppose -3*s = -7*s - m. Let z = -12 - s. What is the remainder when 65 is divided by z?
14
Suppose -5*s + 7 = -8, 5*t + 2062 = -s. Suppose -c - 2*c + 5*g - 88 = 0, -4*c = g + 79. Calculate the remainder when 55 is divided by t/c - 4/6.
17
Let r(j) = -j**2 - 21*j - 21. What is the remainder when 1830 is divided by r(-17)?
44
Let b = -893 + 901. What is the remainder when b is divided by 4?
0
Let s be (6/(-4))/(54/(-288)). Suppose s*p - 163 = -19. Calculate the remainder when 87 is divided by p.
15
Suppose s + 2*w - 2 = 0, -5*s - 2*w + 10 = -32. What is the remainder when 287 is divided by s?
7
Let c(u) = 21*u - 69. Calculate the remainder when c(6) is divided by 30.
27
Let s be 270/25*(-3 - 2). Let c = -27 - s. Calculate the remainder when 79 is divided by c.
25
Let z be 126/28*(-8)/(-6). Suppose -y = -z*y + 315. What is the remainder when y is divided by 17?
12
Let g = 27 - 22. Suppose 5*i + 158 = 2*z, -4*z - 3*i + 265 + 77 = 0. Suppose -2*f = -g*f + z. What is the remainder when 109 is divided by f?
25
Suppose 0*i + 194 = 2*i - 2*d, 3*i - 291 = 5*d. Let b(x) = -24*x**3 + 2*x**2 + x. Calculate the remainder when i is divided by b(-1).
22
Suppose m = 5*u + 42, 0 = -5*m + u - 12 + 150. Calculate the remainder when m is divided by 16.
11
Suppose -23 = 2*j - 3*f - 376, -5*f - 5 = 0. Let g = 3105 + -3046. What is the remainder when j is divided by g?
57
Let w = -594 - -611. Calculate the remainder when 118 is divided by w.
16
Let g = -31 - 1. Let t = g - -37. What is the remainder when 11 is divided by t?
1
Suppose r - 4*r - 5*x - 65 = 0, 4*r - 2*x + 78 = 0. Let m be (-17 - 1) + r/(-5). Let a(p) = p + 23. Calculate the remainder when 33 is divided by a(m).
6
Let m be 0*(-4 + 45/10). Let o(r) = 6*r**3 + m - 5*r**3 + 4 + 3*r - 1 - 3*r**2. What is the remainder when 45 is divided by o(3)?
9
Let v(r) = -r - 6. Let p be 4/14 - (-2)/((-42)/237). Calculate the remainder when 13*-1*(1 + -2) is divided by v(p).
3
Let t be 1/2 - (-10)/(-4). Let n = t + 39. Suppose 0*z - 52 = -4*z. Calculate the remainder when n is divided by z.
11
Suppose 0*m + 3*w = -3*m + 27, -m + 17 = -3*w. Calculate the remainder when 81 is divided by m.
4
Let s = 4476 + -4469. Let d(v) = 3*v**2 - 6*v. What is the remainder when d(5) is divided by s?
3
Suppose 5*n - 4 = 6*n. What is the remainder when 61 is divided by n*(3 - 11)/1?
29
Let c = -333 + 476. What is the remainder when c is divided by 32?
15
Calculate the remainder when 1/9 - (-9557)/171 is divided by 36.
20
Suppose -6*y + 12 = -2*y. Suppose -150 = -y*f - 0*f. Suppose -3*l = 2*l - f. What is the remainder when 47 is divided by l?
7
Let r = -4 - -4. Suppose 2*q + r*f - 4 = -2*f, q + 8 = -3*f. Let v(x) = -x**2 + 11*x - 12. Calculate the remainder when 47 is divided by v(q).
15
Let h(w) = 49*w**2 + 7*w. Let c(l) = -99*l**2 - 13*l. Let n(z) = -6*c(z) - 11*h(z). What is the remainder when 323 is divided by n(-1)?
53
Let n be 2*(-2 + 1)*4/(-8). Suppose 2*h - 20 = 2*m, h - 2*m = -4*m + n. What is the remainder when 15 is divided by h?
1
Let n(p) = p**2 + 53*p + 181. Calculate the remainder when n(-3) is divided by 4/14 + 220/14.
15
Let o(n) = n**3 + 6*n**2 - 2*n - 5. Suppose 4*v = 11*v + 70. Let g = v - -19. What is the remainder when o(-4) is divided by g?
8
Suppose r - 3*q = 15 + 13, r - 5*q - 38 = 0. What is the remainder when 26 is divided by 1*(-1 + 2 + r)?
12
Let r(x) = 4*x + 5. Let m be ((-6)/12)/(1/(-20)). What is the remainder when r(m) is divided by 12?
9
Let r(y) = y**3 + 9*y**2 - y - 10. Let g = -19 - -17. Let b(j) = j. Let l(n) = g*b(n) + r(n). What is the remainder when 33 is divided by l(-9)?
16
Let a = -14 - -23. Let s(g) = -2*g**2 - 18*g - 14. Calculate the remainder when a is divided by s(-8).
1
Let a(v) = 2*v**2 + 17*v + 17. Let h be a(-7). What is the remainder when 54 is divided by (-2)/(-6) + h/((-12)/41)?
12
Let x be (0 - 17/(-3))*6. Calculate the remainder when (4/8)/(1/x) is divided by (52/(-273)*-7)/(2/6).
1
Let s = 58 + -104. Let f = 83 + s. Calculate the remainder when 146 is divided by f.
35
Let q be -10*2/(2/2). Let a be (0 - 156/13)*1/2. Let d = a - q. Calculate the remainder when d is divided by 6.
2
Let t = -13 - -27. Let i(h) = h**3 - 5*h**2 + 7*h - 10. Let k be i(4). What is the remainder when t is divided by (k/2)/((-1)/(-5))?
4
Let x(u) = u**3 - 12*u**2 + 13*u - 14. Let v be x(11). Suppose -4*i = -20 + v. What is the remainder when 3 is divided by i?
0
Calculate the remainder when 183 is divided by 172 - 1/(11 - 12).
10
Let j = -6 + 13. Let k = 26 - 51. Let 