*j + 38. Let b(i) = p(i) - 4*z(i). What is the remainder when b(-13) is divided by 17?
15
Suppose -10*o + 5*o + 35 = 0. Suppose 20 + 113 = o*v. Suppose 0 = -4*m + m - 5*x + 35, 17 = m + 3*x. Calculate the remainder when v is divided by m.
4
Let i = 7475 + -7425. What is the remainder when 68 is divided by i?
18
Suppose 0 = -t - 2, -7156 + 7266 = 2*s + t. What is the remainder when 155 is divided by s?
43
What is the remainder when 253 is divided by (113 - 2) + 2 - (134 - 142)?
11
Suppose 0 = 2*q + 7*r - 292, 5*r + 775 = 40*q - 35*q. What is the remainder when 469 is divided by q?
10
Let s(x) be the first derivative of x**3/3 + 5*x**2 + 13*x - 27. Let t be s(-9). Suppose 16 - t = 3*p. Calculate the remainder when p is divided by 2.
0
Suppose -2*g + 79*j + 785 = 76*j, g = -j + 410. Calculate the remainder when 423 is divided by g.
20
Let n = -55 + 57. Suppose -n = 4*t + 18. What is the remainder when 87 is divided by 2/5*(52 + -2 - t)?
21
Let l(a) = a**3 + 68*a**2 - 47*a - 725. Calculate the remainder when l(-67) is divided by 247.
244
Let m = 1568 + -1156. Calculate the remainder when m is divided by 410.
2
Let t(a) = -2*a**3 - 23*a**2 + 34*a - 48. Let x(g) = g**3 + 12*g**2 - 18*g + 25. Let u(j) = 3*t(j) + 7*x(j). What is the remainder when u(-15) is divided by 14?
13
Suppose -2*v + 5*r + 55 = 0, -v + 105 - 40 = 5*r. Let a(o) = -o + 414. What is the remainder when a(v) is divided by 9?
5
Let f(x) be the third derivative of -x**6/120 - x**5/15 + 7*x**4/24 - 2*x**3/3 - 6*x**2 - x. Calculate the remainder when 49 is divided by f(-6).
23
Suppose 20*f - 11*f = 27. Suppose 173 = 3*g - f*s + 8*s, -2*g + 124 = -s. What is the remainder when g is divided by 32?
29
Let o be (-111)/(-21) + (-4)/14. Let j(c) = -c**2 + 9*c + 7. Let t(u) = 16*u - 537. Calculate the remainder when j(o) is divided by t(34).
6
Let x = 26 + -14. Let v be x*(-2)/(-20)*50. Let h = v + -38. What is the remainder when 41 is divided by h?
19
Let b = -92 + 100. Let v(x) = -x. Let a(u) = -5*u + 2. Let l(y) = -a(y) - 3*v(y). What is the remainder when l(5) is divided by b?
6
Suppose o + 42*l - 259 = 37*l, -4*o = 3*l - 1138. What is the remainder when o is divided by 88?
25
Let m = 22458 - 22363. Calculate the remainder when 134 is divided by m.
39
Suppose 5*c + 78 + 302 = 0. Let n = -52 - c. Let f = 248 - 129. Calculate the remainder when f is divided by n.
23
Suppose 0 = 3*o - 4*x - 157, 4*o + 4*x - 188 = 12. Calculate the remainder when ((-4)/(-8)*-1)/(-3) + (-4676)/(-24) is divided by o.
42
Suppose -68 = -7*n - 26. Calculate the remainder when (-39)/(((-37)/296)/(1/n)) is divided by 21.
10
Suppose 0 = 3*b - 6 - 0. Suppose -6*p + b + 4 = 0. Calculate the remainder when p is divided by 1.
0
Let g(b) = 28*b**2 - 45*b**2 - 24 - 51*b + 20*b**2. What is the remainder when g(18) is divided by 13?
4
Let n be -7*((-172)/112 - 10/(-40)). Suppose -3 - 51 = -2*c. What is the remainder when 75*(0 - (-10 + n)) is divided by c?
21
Let o = -33 + -18. Suppose -2*i = -4*t - 10 + 54, -4*t - i = -56. What is the remainder when ((-187)/o)/((-2)/(-12)) is divided by t?
9
Let j be (-22)/3 - 28/(-21). Calculate the remainder when (5/1)/(834/138 + j) is divided by 20.
15
Let s(z) = z**3 + 4*z**2 - 6*z + 3. Suppose -183 = -2*h - 5*o, 0 = 4*h + 5*o - 56 - 285. Let d = 74 - h. Calculate the remainder when 52 is divided by s(d).
4
Suppose -85*a + 117*a = 352. What is the remainder when 221 is divided by a?
1
Suppose 8*z - 3*g - 1286 = 6*z, 0 = -z + 5*g + 643. Calculate the remainder when z is divided by 34.
31
Suppose -97*m = 456 - 3075. Calculate the remainder when 143 is divided by m.
8
Let z(t) = 51*t**3 + 22*t**2 - 70*t - 13. Calculate the remainder when z(3) is divided by 40.
32
Let v be (13/(-2))/(-13)*-2. What is the remainder when 155 is divided by (1 + 161)*v/(-3)?
47
Suppose 51205 + 612887 = 198*l. Calculate the remainder when l is divided by 23.
19
Let h(f) = -2*f**3 - 23*f**2 + 23*f - 80. Calculate the remainder when 1791 is divided by h(-13).
127
Let f(m) = -2053*m**3 - 25*m**2 + 3*m + 9. Calculate the remainder when f(-2) is divided by 142.
139
Let w = -602 + 857. Let z = 297 - w. What is the remainder when z is divided by 27?
15
Let p be 24*(297/88)/(3/2). Suppose 0 = s - 54 - p. What is the remainder when s is divided by 28?
24
Suppose -2*t = -2*v + 8, 130*t + 8*v = 125*t + 58. What is the remainder when 8 is divided by t?
0
Suppose 152*x - 9767 - 69020 = 232357. Calculate the remainder when x is divided by 681.
4
Calculate the remainder when 31532 is divided by -47 - -27 - -24 - (-284)/2.
142
Let n(a) = 13*a + 15. Let r be n(-22). Let p = -140 - r. What is the remainder when p is divided by 67?
64
Let o(u) = -u**3 + 23*u**2 + 24*u - 4. Let i be o(24). Let v be (-2988)/(-27) - i/(-6). Let l = v - 63. What is the remainder when l is divided by 10?
7
Let j = 155 - 136. Suppose -60 = -b - j. What is the remainder when 161 is divided by b?
38
Let b(u) = u**3 + u**2 - 20*u + 9. Suppose -21*p - 70 = 35. What is the remainder when b(p) is divided by 9 - (1 - (-1 - -1))?
1
Let d(m) = 3*m**3 - 5*m**2 + m + 4. What is the remainder when d(3) is divided by -33*(-7)/((-21)/(-2))?
21
Let j(t) = -12*t - 1. Suppose 428 = 4*f - 4*y, -251*f + 249*f = -5*y - 196. What is the remainder when f is divided by j(-2)?
21
Suppose 7*n - 3201 - 390 = 0. Calculate the remainder when n is divided by 14.
9
Suppose -10*g + 7*g = -4*r - 84, 0 = -3*g + 2*r + 72. What is the remainder when 336 is divided by g?
16
Let x(t) = 19*t**3 - 110*t**2 + 15*t - 97. Calculate the remainder when x(6) is divided by ((-72)/(-10))/(9/60).
41
Suppose -10*p - 380 = -20*p. Calculate the remainder when p is divided by 44/(-1 - (-12)/4).
16
Let n(t) = 2*t**2 - 67*t - 2144. What is the remainder when n(-29) is divided by 20?
1
Let g(y) = 0 - y**2 - y - 3*y + 2 + 0*y. Let p be g(-3). Suppose 0 = -p*c + 8*c - 6. What is the remainder when c is divided by 1?
0
Suppose -2*d + 3*y - 399 = -3*d, 2*y = 5*d - 1927. Suppose 130*r + 2496 = 226*r. Calculate the remainder when d is divided by r.
23
Let q(h) = -3*h**3 - 2*h**2 - 8. Let o be q(-3). Suppose 6 = -52*j + o*j. Calculate the remainder when 12 is divided by -14*(-1)/4*j.
5
Let c = -81 + 81. Suppose -2*h + k + 14 = c, h - 6 = -h - 3*k. Let m(r) = r**3 - 8*r**2 + 17*r - 19. What is the remainder when 19 is divided by m(h)?
8
Let x(a) = -2880 + 8*a**2 - a**3 + 4*a + 13*a + 2894. Calculate the remainder when x(-5) is divided by 16.
14
Let k = 597 - 138. Suppose 99 = -20*c + k. Calculate the remainder when 230 is divided by c.
14
Let v be (57/12)/19 + (-79)/(-4). Suppose 0*m = -y + 2*m + 2, 0 = 2*y + 4*m - v. Calculate the remainder when 115/9 + 4/18 is divided by y.
1
Suppose -279 = -6*w + 39. What is the remainder when 201 is divided by w?
42
Let z(s) = 229*s**2 + 70*s + 68. What is the remainder when z(-1) is divided by 14?
3
Suppose 5*x - 2*r - 79 = 318, -x + 5*r + 84 = 0. What is the remainder when x is divided by 2/(-7) + (-4)/(-7)*39?
13
Suppose 0 = d + 3*d + 372. Let a = d + 96. Let r = a - -15. What is the remainder when 51 is divided by r?
15
Let o(m) = -m - 2. Let q be o(7). Suppose 5*g - 8 = -k - 80, -5*g - 62 = -4*k. Let h = q - g. What is the remainder when 13 is divided by h?
3
Suppose 0 = -8*w - 379 - 1533. Let i = w + 282. Suppose 26 = 5*y - 39. What is the remainder when i is divided by y?
4
Suppose 5*n - 157 = 4*u, 3*u - 155 = -5*n + 8*u. Suppose 24*w = 25*w - n. Suppose 155 = i + 24. Calculate the remainder when i is divided by w.
32
What is the remainder when 3193 is divided by ((132/8 - 2) + (-150)/25)*2?
14
Let m = -175 + 198. Suppose -m*r - 72 = -32*r. What is the remainder when r is divided by 6?
2
Suppose -47*n + 37620 = -3*n. Suppose -11*a + 1675 + n = 0. What is the remainder when a is divided by 21?
20
Let d(a) = 180*a + 25. Let l be d(6). Suppose -6*y + 4*y - 1360 = -5*g, l = 4*g - 5*y. What is the remainder when g is divided by 17?
15
Let c(h) = -200*h - 1157. Calculate the remainder when c(-46) is divided by 13.
9
Let p(u) = 6*u**3 - 10*u**3 + 3*u**3 - u. Let s(k) = -3*k**3 + 2*k**2 - k + 9. Let f(d) = 4*p(d) - s(d). Calculate the remainder when 103 is divided by f(-4).
33
Suppose 4*c - 49 = 307. Let w(y) be the first derivative of y**4/4 - 8*y**3/3 + 11*y**2/2 - 10*y + 3