et x(i) = 15*i**2 - 265*i + 28. Calculate the remainder when x(19) is divided by 404.
4
Let n(c) = -c**3 - 8*c**2 - 11*c - 5. Let v(a) = -a - 12. Let q = 9 + -14. Let l be v(q). Calculate the remainder when n(l) is divided by 12.
11
Let j(y) = -y**3. Let i be j(0). Suppose -f + 0 + 12 = i. Let s = 20892 - 20869. What is the remainder when s is divided by f?
11
Let o = 24 + -17. Suppose t + 2*z = -61 - 10, -2*t = -3*z + 156. Let i = 84 + t. What is the remainder when i is divided by o?
2
Suppose 81*i + 26*i - 1605 = 0. Calculate the remainder when 882 is divided by i.
12
Let f be (-4 - 47)*4/(-3). Let q = 43 - f. Calculate the remainder when (282/(-15))/(5/q) is divided by 12.
10
Let c be (-35)/(-14)*8/2. Let s = 17 - c. Suppose -v - 10 = -43. Calculate the remainder when v is divided by s.
5
Let s be (-12)/(-16) + -1 + (-45)/12. Let x be -4 + s + 6 - 90*1. Let j = x + 109. Calculate the remainder when 101 is divided by j.
16
Let v be ((-24)/9)/(1/(-6)). Suppose 2*o = -v*o + 3564. Calculate the remainder when o is divided by 17.
11
Let n = -20523 + 27076. Calculate the remainder when n is divided by 95.
93
Let y be 3 + -508*(-9 + 7). Suppose -945 = 1010*f - y*f. Calculate the remainder when 518 is divided by f.
98
Let v(b) = 2*b + 12. Let s be v(8). Calculate the remainder when 7443/12 - 7/(s/(-3)) is divided by 39.
36
Let l = 14883 - 14835. Let b = -23 - -40. What is the remainder when l is divided by b?
14
Suppose 5109 = 2*j + 2*g + 5095, 5*j - 4*g = -19. Calculate the remainder when 762 is divided by j.
0
Let m = 100 - 74. Let u(s) = s**2 + s + 2. Let z(l) = -l**2 + l + 8. Let q be z(4). Calculate the remainder when m is divided by u(q).
12
Let f(g) = 5 + 22*g - 51*g - 54 + 25*g. What is the remainder when 91 is divided by f(-20)?
29
Suppose -5*t - 47088 = -3*c - 17577, -8*c - 5*t + 78751 = 0. Calculate the remainder when c is divided by 92.
90
Suppose 2148 = 122*l - 3098. What is the remainder when 4083 is divided by l?
41
Let a be (-129)/(-2)*2/3. Let t = -38 + a. Suppose 4*c = -3*l - 1, -t*c - 5 = l + 4*l. What is the remainder when 2 is divided by c?
0
Suppose -34 = -4*b + 24 + 30. What is the remainder when 546 is divided by b?
18
Let s be (1 + 14)*(3 - 10/6). Suppose 0 = 3*l - s + 5. Suppose 2 = -y + 2*y, -x - l*y = -14. Calculate the remainder when 5 is divided by x.
1
Suppose -3*v - 3 - 177 = 0. Let l be 6/10 - v/(-100). Let k(r) = -2*r**3 + r**2 + 2*r + 8. Calculate the remainder when 30 is divided by k(l).
6
Suppose -3*y + 429 = -k + 272, 0 = -2*y - 2*k + 94. Let p = 36 + -18. Calculate the remainder when y is divided by p.
15
Suppose -8 = 2*m, 2*y - m + 62 = 4*y. What is the remainder when (-28)/42*(-774)/4 is divided by y?
30
Let w be (-4)/6 + (-2 - (-336)/18). Suppose -w*c - 25 = -105. Calculate the remainder when 22 is divided by c.
2
Suppose 4*r = -r - 2*a + 1120, 908 = 4*r + 4*a. Suppose -37 = -3*n - 4*x + 18, 4*n - 3*x = 15. Calculate the remainder when r is divided by n.
6
Suppose -135558 = -264*g + 595458. What is the remainder when g is divided by 21?
18
Let w(g) = -g**2 + 10*g - 2. Let c be w(7). Suppose -c - 35 = -3*m. What is the remainder when 71 is divided by m?
17
Suppose -261*l = -231*l - 780. Let b be 1/2 + (-14)/(-4). Suppose b*t - 4*g - 36 = 0, -30 = -4*t + g - 0*g. Calculate the remainder when l is divided by t.
5
Let z(g) = -195*g + 243. Calculate the remainder when z(-10) is divided by 12.
9
Suppose -8*l = 24*l - 1152. What is the remainder when l is divided by 25?
11
Let f(r) = -r**2 + 11*r - 10. Let b be f(11). Let y be 3*b/15 + -4. What is the remainder when 8 is divided by 5*y/(-10) + -2?
0
Let l(x) = 24*x**2 - 177*x - 912. What is the remainder when l(-5) is divided by 25?
23
Let x be (-10)/(-75)*9*(-10)/4. Let j(u) = u**3 + 3*u**2 - u + 2. Let h be j(x). Suppose -6*i + 5*i + h = 0. What is the remainder when 13 is divided by i?
3
Suppose -m = -9*m + 40. Suppose 4*v - l - 195 = -0*l, 0 = 2*v - m*l - 93. Calculate the remainder when v is divided by 13.
10
Suppose 3*o - 28 + 7 = -m, 4*m - 20 = 4*o. Suppose z + 0*z - 9 = 0. Calculate the remainder when (m - -8) + 3*3 is divided by z.
8
Suppose -1128 = -29*o - 113. Calculate the remainder when o is divided by 2.
1
Suppose -32*k + 3435 = -17*k. Suppose -k = 22*l - 2341. What is the remainder when l is divided by 34?
28
Let f(y) = y**2 - 17*y + 75. Let z(r) = 80*r + 5. What is the remainder when z(1) is divided by f(15)?
40
Suppose 7*t = 12*t - u - 13, u + 3 = 0. Suppose 16*m - 18*m + t*b + 132 = 0, -4*b - 78 = -m. What is the remainder when m is divided by 51?
11
Let v(n) = -2*n**3 + 28*n**2 + 3*n - 32. Let g be v(14). What is the remainder when 7*33*(2 + -1) is divided by 3*(g - (0 + (1 - 4)))?
36
Let f(r) = -r**2 + 3*r - 6. Let t be f(5). Let q(j) = 10*j**2 + 30*j + 50. Let z be q(-2). Let n = z + t. Calculate the remainder when 41 is divided by n.
13
Suppose 15*j = 470 - 20. Suppose -73*v = -484 - 684. Calculate the remainder when j is divided by v.
14
Suppose -2525 = -5*z + 2*m + 3*m, 3*z - 2*m = 1519. Calculate the remainder when z is divided by 71.
12
Let u be ((-700)/40)/(2/4). What is the remainder when 16 is divided by (-14)/u - (-224)/40?
4
Let y = -127 + 129. Suppose -36 = -y*q - 8. Calculate the remainder when 28 is divided by q.
0
Suppose 4*g - 10*w = -14*w + 264, 3*g + 5*w = 204. What is the remainder when 925 is divided by g?
43
Let w be (-6)/(-8) + (-803)/(-44). Let y be -5*w*40/(-20). Suppose -17*k + y = -12*k. What is the remainder when 72 is divided by k?
34
Let v(a) be the third derivative of -7/6*a**3 + 13/12*a**4 + 0*a - 1/30*a**5 - 2*a**2 + 0. What is the remainder when 66 is divided by v(12)?
15
Let k(y) = 15*y**2 - 40*y - 322. What is the remainder when 924 is divided by k(-6)?
8
Suppose 6*r - 9*r = 3*l - 4302, 5*l - 7212 = 2*r. Calculate the remainder when l is divided by 111.
108
Suppose -39*x - 97*x - 2666 + 9874 = 0. What is the remainder when 368 is divided by x?
50
Suppose 20 = 3*l + 5*s, -3*l - 3*s + 19 = 7. Suppose o = -4*d + 89, -5*o + l = -2*d + 17. Calculate the remainder when 29 is divided by d.
8
Let d(t) = 12*t**2 - 6*t - 12. Let o(r) = -4*r + 30. What is the remainder when d(-3) is divided by o(-1)?
12
Let z(g) = g**3 - 9*g**2 - 72*g + 78. What is the remainder when 157 is divided by z(14)?
7
Suppose -29*l - 2*i = -25*l - 7008, i = -4*l + 7006. Calculate the remainder when l is divided by 8.
7
Let q(w) = -3*w**3 - 28*w - 30. What is the remainder when q(-4) is divided by 78?
40
Suppose 4*i - 2629 = -2*d - 905, -458 = -i + 4*d. Calculate the remainder when i is divided by 75.
59
Let v be 1/((-2)/6) - 2958/(-6). Suppose -14*s - 3*l = -11*s - 753, 4*l + v = 2*s. Calculate the remainder when s is divided by 84.
81
Suppose 0 = -2*j + 23 - 9. Let h = 69 - 167. Let t = h - -136. What is the remainder when t is divided by j?
3
Suppose 5*t = -2*b + 6*b - 13, 5*t = -5*b - 40. Suppose 0 = 3*u - 18 - 15. Calculate the remainder when -4*93/36*b is divided by u.
9
Calculate the remainder when 1348 is divided by 28/(-49) - (-1472)/28.
48
Let u(t) = t**3 + 10*t**2 - 22*t + 1. Suppose 1389 - 21 = 36*b. Calculate the remainder when u(-11) is divided by b.
8
Let p be (12/9)/((-24)/(-36)). Suppose -3*j + 99 = -m - 238, p*j + 4*m - 248 = 0. What is the remainder when j is divided by 30?
24
Suppose 759*c + 17934 = 780*c. What is the remainder when c is divided by 26?
22
Let m(f) be the first derivative of -4*f**2 - 27*f + 52. Suppose 0*d + 330 = 3*d. What is the remainder when d is divided by m(-8)?
36
Let u = -1025 + 1049. Suppose d - 8 = 11. What is the remainder when u is divided by d?
5
Let b = 6157 + -6088. Calculate the remainder when b is divided by 7.
6
Suppose -2*k + 3*j + 478 = -51, -2*j - 2808 = -11*k. What is the remainder when k is divided by 74?
32
Let r(p) = -7*p + 7. Let w be r(-3). Suppose -5*k + 8 = -3*m, 2*k - w = -9*m + 4*m. Let t = -30 + 32. What is the remainder when m is divided by t?
0
Let x = -8210 - -8237. Calculate the remainder when 283 is divided by x.
13
Let j = 137 + -77. What is the remainder when j is divided by -2*(-4)/32*(-720)/(-10)?
6
Suppose -149 = -16*r + 27. Suppose r*g = 12*g, 0 = -z + 2*g + 40. What is the remainder when 138 is divided by z?
18
Let j = -95 + 105. Calculate the remainder when j i