when 2431 is divided by p(-3).
53
Suppose -61*k = -49*k - 2004. Suppose -14*u + 71 = -k. What is the remainder when 44 is divided by u?
10
Suppose 48*o = 44*o - 5*y + 451, -3*o + y = -343. Let a = -75 - -106. Calculate the remainder when o is divided by a.
21
Suppose o - 94 = -o. Suppose 56*n - 147 = 59*n. Let b = 59 + n. What is the remainder when o is divided by b?
7
Suppose 5*s - 8*s = -3*f + 15, 5*s = 7*f - 55. Suppose 0 = -3*a - 6, 0*p - 379 = -p - 5*a. Calculate the remainder when p is divided by f.
14
Suppose 37*i - 252 - 81 = 0. Let j be 8/(2 - -2)*1. Suppose 0 = u - j*y - 8, 3*u + 2*y + 26 - 82 = 0. What is the remainder when u is divided by i?
7
Suppose 2*b - 8 = -3*h - 6, 3*h + 8 = -4*b. Suppose -2*g + 7*g = -p + 239, -p + h*g = -239. Calculate the remainder when p is divided by 114.
11
Let j(u) = u**3 - 4*u**2 - 26*u + 26. Let f(c) = c**3 - 3*c**2 - 27*c + 24. Let l(s) = -5*f(s) + 6*j(s). Calculate the remainder when l(11) is divided by 26.
21
Calculate the remainder when 6839 is divided by (-2 - (-632)/80) + 1/10.
5
Calculate the remainder when 587 is divided by (5 + (-200)/48)/(-5) - 170/(-12).
13
Let u(z) = -19*z - 93. Suppose 44*n + 260 = -48. What is the remainder when 137 is divided by u(n)?
17
Let x = 582 - 37. Let t = 598 - x. Calculate the remainder when 104 is divided by t.
51
Suppose 2*t - 204 = -g - 52, 3*g = -6. Let o(i) = 16*i + 216. Calculate the remainder when t is divided by o(-11).
37
Let s = -593571 + 593588. What is the remainder when (16/2)/(4/118) is divided by s?
15
Suppose -2*r = s - 208, 808 = 4*s + 61*r - 65*r. Calculate the remainder when s is divided by 68.
0
Calculate the remainder when ((-399000)/36)/(-38) + (-2)/(-6) is divided by 166.
126
Let g = -7817 - -8054. Calculate the remainder when g is divided by 181.
56
Suppose 4*h = -3*n + 281 + 15, 3*n - 219 = -3*h. What is the remainder when h is divided by 37?
3
Let v(w) = 15*w**2 - 158*w - 39. Let y(i) = -8*i**2 + 79*i + 18. Let o(g) = -3*v(g) - 5*y(g). What is the remainder when 580 is divided by o(16)?
8
Suppose 32*a - 31*a + 28 = 5*h, -h - 40 = -4*a. What is the remainder when 29649 is divided by a?
9
Let m(t) be the third derivative of 5*t**4/12 + 7*t**3/3 + 91*t**2 + 1. Calculate the remainder when m(1) is divided by 15.
9
Let y be 13/(-5) - -3 - 28/20. Let j be (y/2 - -1)/(5/120). Suppose -247 = -7*t + j. What is the remainder when 110 is divided by t?
36
Let s(o) = o**3 + 14*o**2 - 16*o - 2. Let g(n) = -15*n**2 + 5*n + 5. Let h be g(-1). What is the remainder when 38 is divided by s(h)?
12
Let h = -14977 - -15291. Calculate the remainder when h is divided by ((-5)/2)/((-2)/28).
34
Suppose -4*g = -g - 468. Calculate the remainder when g is divided by 185406/11885 + (-2)/(-5).
12
Let z = 1137 + -750. Let w = 647 - z. Calculate the remainder when w is divided by 22.
18
Calculate the remainder when 442 is divided by 9 + (26 - 4) - (2 + 10)/2.
17
Let y(f) = 3*f**3 - 7*f**2 + f - 19. Let p be y(7). Suppose k - p = 2*s, 6*k = k - 5*s + 3430. What is the remainder when 3*1*5*k/165 is divided by 32?
30
Suppose 2*u - 161 - 10 = -3*a, 2*u - 172 = -4*a. What is the remainder when 2770 is divided by u?
82
Suppose 0 = 4*w - 122 + 118, -2*w + 203 = 3*g. Calculate the remainder when 2075 is divided by g.
65
Let w be 53*2 - 17/(187/(-44)). Suppose -u + 86 = 3*k - 0*k, -k = 3*u - 298. Let i = w - u. Calculate the remainder when 23 is divided by i.
5
Let d = 170 + -121. Let z = -601 - -795. Calculate the remainder when z is divided by d.
47
Let j(d) = d - 11. Let w be j(14). Suppose 0*r - 5*r + 110 = 5*y, 0 = -2*y - w*r + 48. Let t = 601 - 595. Calculate the remainder when y is divided by t.
0
Suppose -9*m = 22*m - 7*m - 10056. Calculate the remainder when m is divided by 355.
64
Let i(r) = -5*r**2 + 25*r + 16. Let q be i(7). What is the remainder when (q/12 - -4)*(-21 - -1) is divided by 4?
2
Let l = -459 + 678. Calculate the remainder when l is divided by 2 - ((-8128)/1270 - (-1 - (-3)/5)).
3
Let c(q) = 252*q - 972. Suppose 5*t = 2*r - 106, 192 = 2*r + 2*r - 5*t. What is the remainder when r is divided by c(4)?
7
Let i = 70 + -67. Let h be (0 + (-18)/(-21))*-7. Calculate the remainder when 50 is divided by 3*((-34)/h + i).
24
Suppose -5*h = -511*q + 514*q - 104, -5*h = -3*q + 64. What is the remainder when 163 is divided by q?
23
Let h(b) = b**3 + 13*b**2 + 41*b + 26. Let d be -4*(-15)/((-45)/6). What is the remainder when 137 is divided by h(d)?
11
Let d(z) = -2*z**2 - 264*z - 8362. Calculate the remainder when 482 is divided by d(-74).
38
Suppose -32*g = -45*g - 98*g + 223554. What is the remainder when g is divided by 32?
30
Let m be 249/83 - (-8)/2. Calculate the remainder when (-3 + m)/((-10)/(-225)) is divided by 23.
21
What is the remainder when 173 - 64 - -1*11 is divided by 13?
3
Suppose -d + 13*d - 240 = 7*d. Calculate the remainder when 503 is divided by d.
23
Let a(p) = 5*p**2 + 9*p - 12. Let i be a(-10). Suppose i = -5*w + 2278. Calculate the remainder when w is divided by 18.
16
Let q(u) = 4*u**3 + 5*u**2 + 5*u + 5. Let w be q(-4). Let g = -114 - w. Suppose -3*i - g = -10*i. What is the remainder when i is divided by 5?
1
Suppose -10*k + 11237 = -f, -54*f + 50*f = 5*k - 5632. What is the remainder when k is divided by 418?
288
Suppose 30 = -2*a + 96. Let s = -17 + a. Let d = 42 + -13. Calculate the remainder when d is divided by s.
13
Let g be 4*(-871)/2 - (6 + 0). What is the remainder when (-7)/(4 + 10) - g/8 is divided by 20?
18
Let y(u) = u**2 - 10*u + 17. Let k = -37 + 46. Suppose 5 = 4*q - 79. Calculate the remainder when q is divided by y(k).
5
Suppose 3*y - 9 = 3. Let m(h) = h**3 - 5*h**2 + 7*h - 1. Let a(l) = -3*l**2 + 26*l + 8. Calculate the remainder when a(7) is divided by m(y).
10
Suppose b + a + 2 = 0, -3*b + 8*b + 4*a + 6 = 0. Let f be 9 + -3 - (b + -1). Suppose -f*o + 2*o = -72. Calculate the remainder when o is divided by 7.
3
Let c = 26558 + -26530. Calculate the remainder when (-1545)/(-7) + 4/14 is divided by c.
25
Suppose 4*t + 73*p = 71*p + 448, 2*t - 5*p - 224 = 0. What is the remainder when 563 is divided by t?
3
Calculate the remainder when 1739 is divided by 1 + (-69)/63 + (-3575)/(-273).
10
Suppose 28*p = 14*p + 2940. Suppose -4*s - v + p = s, -5*s + 2*v = -210. Calculate the remainder when 123 is divided by s.
39
Let v(t) = t**2 + 2*t. Let l be v(-4). Suppose -5*s - 69 = -l*s. What is the remainder when s is divided by 5?
3
Suppose -16*h - 2346 = -85*h. Let w(v) = 212*v. Let g be w(1). Let k = -145 + g. What is the remainder when k is divided by h?
33
Let r = -36 + 40. Let p(k) = 5 - 2 + r*k - 2. What is the remainder when 15 is divided by p(1)?
0
Let w = 16073 + 5524. What is the remainder when w is divided by 144?
141
What is the remainder when 1122 is divided by 5/((-25)/(-224)) + (-9)/(-45) + 0?
42
Let h = 3414 + -3176. Calculate the remainder when h is divided by 19.
10
Suppose 0 = 14*w - 4*w - 30. Suppose 0*l - 4*l = 5*y - 226, -169 = -w*l - 4*y. Calculate the remainder when 351 is divided by l.
56
Suppose 0 = 6*a - 3*a - 12. Let k(h) = h**3 - 6*h**2 + 6*h - 2. Let q be k(a). Calculate the remainder when 39 is divided by ((-84)/q)/((-3)/((-30)/4)).
18
Let v = 119 - 62. Suppose 0*q = 5*h + 2*q - v, 4*h - 60 = 2*q. Suppose 11*p + 136 = -12*p + 550. What is the remainder when p is divided by h?
5
Suppose 0 = 219*y - 365*y + 1022. Let a = 118 + 5. Calculate the remainder when a is divided by y.
4
Suppose 11*k + 156 = 37*k. Let g(c) = 5*c - 21. Calculate the remainder when 33 is divided by g(k).
6
Suppose -12*q - 2*b = -15*q + 23, -4*b = -5*q + 41. Suppose 5*j = q*d + 160, 10*j - 2*d - 126 = 6*j. What is the remainder when 46 is divided by j?
15
Let j = -587 - 160. Let r = j + 786. What is the remainder when 113 is divided by r?
35
Let x(c) = 31*c**2 + 166*c - 117. What is the remainder when 1010 is divided by x(-6)?
2
Suppose -d = 4*m - 11 - 3, 3*d - 3*m = 27. Let t be ((-2)/(-4))/(d/(-400)). Let f = -18 - t. Calculate the remainder when 12 is divided by f.
0
Suppose -4*o + 4*u = -72, -u - 8 - 46 = -3*o. Suppose 0*s + r - o = -5*s, 2*s + 3 = 3*r. Suppose 4 = -s*t + 4*t. Calculate the remainder when t is divided by 1.
0
Suppose -57*h + 58*h = 4 + 24. Calculate the remainder when 60 is divided by h.
4
Let a = -52 - 