ided by r(-1).
3
Let n(u) = 73*u**2 + 23*u - 30. Let d(o) = 220*o**2 + 67*o - 90. Let a(s) = 6*d(s) - 17*n(s). What is the remainder when a(4) is divided by 32?
30
Let n = 2124 + -1962. What is the remainder when 2266 is divided by n?
160
Suppose 146*v + 2019 - 5910 = 5599. Calculate the remainder when v is divided by (-35)/(-2) + 5/(-10).
14
Suppose -12*h - 655506 = -178*h - 17*h. Calculate the remainder when h is divided by 2.
0
Let f(y) = y**3 + 15*y**2 - 76*y + 4. Let u = 264 + -283. What is the remainder when 133 is divided by f(u)?
1
Suppose -4*p - 4830 = -5*v, 5*v = -1275*p + 1271*p + 4830. What is the remainder when v is divided by 60?
6
Suppose 5*s + 195 = 5*f, 0*f + 63 = 2*f + 3*s. Let b = 834 + -456. Let y = b + -235. Calculate the remainder when y is divided by f.
35
Suppose l - 6 = -1. Suppose g - 46 = -11*n, 5*g - 52 - 25 = -4*n. What is the remainder when g is divided by l?
3
Suppose -39*h + 2125 = -14*h. Suppose -o - 5*j + 19 = 0, -5*o + 0*o - j = -23. Calculate the remainder when h is divided by o.
1
Let k(n) be the first derivative of n**3/3 - 17*n**2/2 + 19*n + 2. Let b be (-3)/((-54)/765)*10/25. Calculate the remainder when k(b) is divided by 14.
5
Let t = 59 - 47. Let c(u) = 18 - 4 + 30 - 13*u + t*u. What is the remainder when 107 is divided by c(17)?
26
Let w = 78 - 44. Suppose -7*d = -6*d - 498. Suppose -3*k - 492 = -3*g, 5*g - 3*k = d + 328. Calculate the remainder when g is divided by w.
31
Let x(n) = 134*n - 950. Calculate the remainder when 10489 is divided by x(8).
119
Let n = -38 + 40. Let y be (1 + -1)/(2/n). Suppose y = 2*o - 6*o + 156. Calculate the remainder when o is divided by 21.
18
Let z = -14125 - -14612. Calculate the remainder when z is divided by 22.
3
Let i(t) = -t**3 + 6*t**2 + 164*t + 27. Calculate the remainder when 6304 is divided by i(9).
4
Suppose 298 = 12*y - 10*y. Suppose -9*a = 4*b - 4*a - y, -a = -2*b + 71. Calculate the remainder when 71 is divided by b.
35
Suppose 6 = 4*g - 5*k + 23, -5*k = 3*g - 31. Suppose 45 + 25 = g*w. What is the remainder when w is divided by 6?
5
Let w(h) = 39*h**2 - 2*h + 6. Let z be w(4). Let t = -556 + z. Calculate the remainder when 329 is divided by t.
65
Let i(c) = -140*c + 11. What is the remainder when 464 is divided by i(-1)?
11
Let m = 168 - 164. Suppose -4*p = -p - 15, 5*c = -m*p + 130. What is the remainder when 78 is divided by c?
12
Suppose 3*m - h = 264, 10*h - 13*h - 342 = -4*m. Calculate the remainder when 1067 is divided by m.
77
Suppose 12*g - 105 = 9*g. Suppose 4*x - 191 = 3*o, g = -3*x + 4*x - 5*o. Calculate the remainder when (-4 + x/15)/(1/(-21)) is divided by 4.
2
Suppose 16 - 1 = 4*k - m, -4*k + 4*m = -12. Calculate the remainder when ((-369)/(-27))/(0 + 5/15) is divided by k.
1
What is the remainder when 537 is divided by (1*(-345)/(-46))/(2/8)?
27
Suppose 4*t = 18*t + 70. Calculate the remainder when 2 + -2 - ((-20)/t - 291) is divided by 29.
26
Calculate the remainder when (-5 - 129/(-24) - 51/72)*-357 is divided by 63.
56
Suppose 3 = z - 0. Suppose -24*d - 3344 = -2*d. Let t = d - -162. What is the remainder when t is divided by z?
1
Let d(z) = z**2 + 3*z. Let p(c) = -157*c - 637. Let n be p(0). Let v = n - -639. What is the remainder when d(3) is divided by v?
0
Suppose -5*d - 2*o - 153 = -381, -4*o = -5*d + 234. What is the remainder when d is divided by 17?
12
Let l = -5243 + 5254. What is the remainder when (30*1)/((-1)/(-1)) is divided by l?
8
Suppose -3*q = -0*q - 4*s - 939, 3*q - 3*s - 939 = 0. Suppose -o - 2*o + 422 = 4*v, 4*o - q = -3*v. Calculate the remainder when v is divided by 10.
7
Suppose 4*f + 0*f - 8 = 0. Suppose -f*q = -27 - 195. Suppose -188 = 880*i - 885*i + c, 4*i - 3*c = 146. Calculate the remainder when q is divided by i.
35
Suppose 45 + 67 = 4*t. Let y = t + -25. Suppose -5*x = -5*q - x + 121, y*q - x - 67 = 0. Calculate the remainder when 82 is divided by q.
19
Suppose -3*f + 2*f = u - 14, f + 76 = 4*u. Let i = 32 - -5. Let l = i - 31. Calculate the remainder when u is divided by l.
0
Let s(u) = 10*u - 8. Calculate the remainder when s(5) is divided by 9 + 2324/(-332) + 7 + -1 + 1.
6
Let z(u) = 77*u**2 + 4*u - 4. Let j be z(1). Suppose -3*t + b = 3*b - 121, -j = -2*t - 5*b. Calculate the remainder when 110 is divided by t.
28
Let h be 2/(8/(-194))*-4. Suppose h = 4*n + 3*v, -4*n + 3*v + v + 208 = 0. What is the remainder when 143 is divided by n?
43
Let o be (-3 + 0 + 0)*-1. Suppose -4*k = -h - 71, -o*k - 5*h + 41 = -k. Let i(q) = 211*q - 833. Calculate the remainder when k is divided by i(4).
7
Suppose 3*a = -5*j - 2, a - 1 = -3*j + 1. Suppose -3*q = j*k - 55 - 8, q - k = 21. Suppose o = 3 + 3. What is the remainder when q is divided by o?
3
Let l(q) = 7*q**2 + 165*q - 480. What is the remainder when 1166 is divided by l(-27)?
158
What is the remainder when 593 is divided by 13*(-295)/(-25) + 8/(-20)?
134
Suppose -13*y + 11*y + 3252 = -4*a, 4*y - 2*a - 6480 = 0. What is the remainder when y is divided by 136?
122
Let d = -14126 - -14289. What is the remainder when d is divided by 47?
22
Suppose -3*a = 5*x - 187 - 176, -x = -4*a - 45. What is the remainder when 1167 is divided by x?
63
Suppose 2*q + 4 = 4*q. Suppose a = -4, 2*x + q*a + 2*a + 10 = 0. Suppose -m = -x*m + 26. Calculate the remainder when 90 is divided by m.
12
Suppose -4*a - 3*i + 352 = 0, 0 = 5*a + i - 32 - 386. Calculate the remainder when 211 is divided by a.
47
Suppose 299 = -14*p + 1279. What is the remainder when p is divided by 24/42*7/1 + 24?
14
Suppose h - 3766 = -r, -3*r - 11290 = -3*h - 4*r. What is the remainder when h is divided by 157?
151
Suppose -v + 138 = -254. Suppose 17*y - v = -1. Calculate the remainder when y is divided by 8.
7
Suppose t - 94 = -3*t + n, -110 = -5*t + 5*n. Suppose 4*a - 581 = 3*m, 2*a - 37*m = -33*m + 308. What is the remainder when a is divided by t?
20
Suppose -4*a = -105 + 45. Suppose -2*x + 50 = 4*i - x, -2*i + 34 = -4*x. What is the remainder when a is divided by i?
2
Let a(c) = -28*c**2 - 264*c + 35. Calculate the remainder when a(-9) is divided by -48*(-1)/((-1)/(-1)).
47
Let b(o) = 8*o**2 - 3*o. Suppose -5*u - 3 - 2 = 0, -4*u = -5*f + 14. Calculate the remainder when (24/8)/(3/76) is divided by b(f).
24
Let h(r) = r**2 + r - 301. Calculate the remainder when h(33) is divided by 14.
9
Let p be 2/((-24)/15)*-4. Suppose -w = p*v - 6*w + 35, v - 3*w = -5. What is the remainder when 18 is divided by (-2)/v - (0 - 184/32)?
0
Suppose 8 = -2*z + 4*f, -4*z + 2*f - 3 = -5. Suppose 2*o - 288 = -4*b + 8*b, 0 = 3*o - z*b - 452. Calculate the remainder when o is divided by 23.
16
Let z = -10494 - -10599. What is the remainder when 400 is divided by z?
85
Calculate the remainder when (-2 + (-593)/(-2))*(-571 + 579) is divided by 155.
31
Let f(a) = -a**3 + 2*a**2 - a - 2. Let k = -7 - -5. Let z = -126 - -129. Calculate the remainder when f(k) is divided by z.
1
Suppose 5*q + 834 - 135 = 3*u, 3*q = -2*u + 504. Calculate the remainder when 490 is divided by u.
4
Suppose -4*q + 3*v + 296 = 0, -2907*v + 8 = -2905*v. What is the remainder when q is divided by 15?
2
Let g(i) = -i**2 + 692*i - 15184. Let u(y) = -y**2 + 10*y + 1. Calculate the remainder when g(23) is divided by u(7).
5
Let z(o) = -230*o - 1377. Let q be z(-6). Let x = 3 + -1. Suppose -19 = -q*d - w, -d - d = -3*w + x. What is the remainder when d is divided by 2?
1
Let y = 240 - 101. Suppose -131*t = -y*t + 56. Let w(p) = 20*p + 3. Calculate the remainder when w(4) is divided by t.
6
Suppose -72 = -2*i + 5*x, 3*i - 2*i - 30 = x. What is the remainder when 613/6 + (-9)/54 is divided by i?
24
Suppose 10458 = 8*k + 75*k. What is the remainder when 490 is divided by k?
112
Suppose n - 113*b - 226 = -116*b, -2*b = 41*n - 8903. Let u = 134 - 90. What is the remainder when n is divided by u?
41
Let o = -5193 + 5273. What is the remainder when o is divided by 24?
8
Suppose 1476 = -564*g + 558*g. Let v = 374 + g. Suppose -88 = 2*r - 4*r. What is the remainder when v is divided by r?
40
What is the remainder when (-756)/(-5) + -2 + 408/(-340) is divided by 50?
48
Let r(d) = 897*d - 2095. What is the remainder when r(3) is divided by 62?
38
Let k = -14746 + 14773. What is the remainder when 734 is divided by k?
5
Let n(g) = 5*g**2 + 172*g - 155. What is the remainde