m = -53, -4*t + 4*m = -200. Suppose 0 = -t*a + 39*a + 3696. Calculate the remainder when a is divided by 31.
29
Suppose 0 = 27*x + 26461 - 56944. What is the remainder when x is divided by 204?
109
Let g(h) = h**3 - 8*h**2 + 12*h + 6. Let c be g(6). Suppose -264*p = -265*p + c. What is the remainder when 83 is divided by p?
5
Let j = 22 - 16. Let t(u) = 2*u**2 - 7*u. Let y(z) = -z**3 + 14*z**2 - 33*z + 8. What is the remainder when t(j) is divided by y(11)?
6
Let d = -201 - -203. Suppose -178 = -5*y + y - g, -y + d*g = -49. Calculate the remainder when 174 is divided by y.
39
Let d(a) = -24*a + 139. Let w be d(5). Suppose w*o - 1334 = 338. Calculate the remainder when o is divided by 23.
19
Suppose -6 = 4*s - 26. Suppose -s*r = -232 - 3. Let f = -11 + r. What is the remainder when 68 is divided by f?
32
Let x = 46 + -10. Suppose 0 = 3*w - x. Let d = 4506 - 4459. What is the remainder when d is divided by w?
11
What is the remainder when 853 is divided by (-10)/14 - 182310/(-826)?
193
Suppose -151*r - 540 = -160*r. Let d be (12 + -2)*(-4)/(-10). Suppose y + d*y - r = 0. Calculate the remainder when 33 is divided by y.
9
Let x = 134 + -131. Suppose -168 = -11*v - x*v. What is the remainder when 59 is divided by v?
11
Calculate the remainder when 210 is divided by 5 - -1*116 - (-16 - -8).
81
Let k = 109 + -210. Let f = -30 - k. What is the remainder when f is divided by 5 + 20 + (-21 - -33)?
34
Let d be (-18)/(6/2) - -618. Let y = 633 - d. What is the remainder when y is divided by 5?
1
Calculate the remainder when (10/(-15))/(-2)*222 is divided by ((-196)/182)/(-7) + (-349)/(-13).
20
Calculate the remainder when 86 is divided by -2 + (-246)/(-10) + (-14 - (-737)/55).
20
Let a(z) be the second derivative of -20*z**2 + 8*z + 1/2*z**3 + 0 + 1/20*z**5 - 17/12*z**4. What is the remainder when 17 is divided by a(17)?
6
What is the remainder when 1611 is divided by (-3)/7 - (-407)/(-259) - (-1 + -34)?
27
Let o = -58 + 107. Let k(d) = d**3 + 4*d**2 - 8*d - 5. Let s be k(-5). Suppose 11*m - 26 = s*m. Calculate the remainder when o is divided by m.
23
Let k = -9583 - -9605. Let b = -168 - -364. What is the remainder when b is divided by k?
20
Let y(u) = 8*u**2 - 29*u - 280. Calculate the remainder when 1294 is divided by y(-6).
20
Let w(z) = -z**2 + 204*z - 4468. Let r(q) = -35*q - 1. Calculate the remainder when r(-2) is divided by w(179).
6
Suppose 0 = -6*n + 5*n + 5. Suppose 3*a - 4*k = 179, k = n*a + 4*k - 279. Calculate the remainder when a is divided by 10.
7
Calculate the remainder when 286 is divided by (3/(-6))/(6/216*-3).
4
Calculate the remainder when 5732 is divided by 54/144 - 8700/(-96).
90
Suppose -14*l + 2796 = -13*l + 3*x, -2802 = -l - 4*x. Calculate the remainder when l is divided by 33.
6
Let c = -2658 + 2772. Calculate the remainder when 8204 is divided by c.
110
Calculate the remainder when (-45)/6*(-80)/15 is divided by (10/45)/((-26)/(-351)) + 8.
7
Let q(l) = -2*l**3 + 14*l**2 + 4*l + 24. Let c(o) = -o**3 + 9*o**2 + 3*o + 16. Let h(b) = 8*c(b) - 5*q(b). Calculate the remainder when h(4) is divided by 37.
36
Let l = -1935 + 2110. Let a = -319 + 151. Calculate the remainder when l is divided by a/36*90/(-7).
55
Let a = -1582 - -1718. Calculate the remainder when 402 is divided by a.
130
Suppose 5*f = -8*c + 10*c + 679, 4*f - 4*c = 524. What is the remainder when 1371 is divided by f?
120
Let x(j) = -2*j - 6*j + 301 + 0*j - 8*j + 15*j. Calculate the remainder when x(6) is divided by 50.
45
Suppose 3*t - 14*j - 509 = 0, 5*t + 0*t - 775 = 5*j. What is the remainder when 194 is divided by t?
43
Suppose 28*v - 21*v + 70 = 0. Calculate the remainder when v*(-23 - -19 - (-6)/(-2)) is divided by 61.
9
What is the remainder when (-3*(-268261)/57)/7 is divided by 78?
67
Let p(q) = 3*q**2 + 821*q - 17927. Let c(y) = -y**2 - 12*y - 3. What is the remainder when c(-8) is divided by p(-294)?
1
Suppose -u + 23 = -5*n, 28*n - 62 = -2*u + 30*n. Calculate the remainder when 45 is divided by -2*3/(-3) - (10 - u).
20
Suppose 27*q - 1136 = 5*q + 6*q. What is the remainder when 620 is divided by q?
52
Let s(m) be the third derivative of m**4/24 + 11*m**3/6 - 2*m**2. Calculate the remainder when 3 + 6 + -5 + 0 is divided by s(-9).
0
Let p(r) = -4*r**2 + 3*r + 2. Let g be p(-4). Let v = 858 + -727. Let m = g + v. Calculate the remainder when 113 is divided by m.
56
Let i = -17526 - -19911. Calculate the remainder when i is divided by 13.
6
Calculate the remainder when 348 is divided by (-30)/(-4)*(-4)/5*(-475)/285.
8
Let n = 6033 + -5462. Calculate the remainder when 1162 is divided by n.
20
Suppose -2*o = 3*m + 638, o - 210 = m - o. Suppose -5*l - 31 = -2*r, -3*r + 3*l - 9 = -60. What is the remainder when (13/(-26))/(2/m) is divided by r?
17
Suppose -2*j + 5*j = -5*g - 5, 0 = 4*g - j + 4. Let h be 1 - ((-17)/3 + (-10)/(-15)). Calculate the remainder when 19 is divided by 0 - g - (-60)/h.
8
Let v = 43 + -24. Let r = 266 + -253. What is the remainder when v is divided by (52/(-8))/r*-10?
4
Calculate the remainder when (11 - 0) + (-7171)/(-71) is divided by 29.
25
Calculate the remainder when (-1)/1*3/(-30)*6410 is divided by 57.
14
Suppose 31 = 2*i - 23. Suppose 0 = -96*t + 18*t + 12402. Calculate the remainder when t is divided by i.
24
Suppose -4*r - 4*j = -59 + 11, r - 5*j = 6. Suppose -123*o = -193*o + 4480. Calculate the remainder when o is divided by r.
9
Let v = 11939 + -11201. What is the remainder when v is divided by 96?
66
Suppose -167 = -4*h - 3*o, 0 = 885*h - 890*h - 5*o + 215. Let y = -3 + 54. Calculate the remainder when y is divided by h.
13
Suppose 5*h - 690 = -13*h - 12*h. Calculate the remainder when 1057 is divided by h.
22
Suppose 3*t - 17652 = 5*w, -4*w + 3087 = -t + 8985. Calculate the remainder when t is divided by 235.
234
Let k = 106 + -39. Let s(m) = -m**2 - 7*m + 25. Let i be s(-9). Suppose -i*a + 9*a = 30. Calculate the remainder when k is divided by a.
7
Let t be ((-15)/(-6))/(6/(-804)). Let y = t + 394. Calculate the remainder when y is divided by 3.
2
Let a(c) = -4*c - 23. Suppose -5*f - 131 + 146 = 0. Suppose -f*b = -13*b + 380. What is the remainder when b is divided by a(-11)?
17
Let l be (-1 - 0)/((-15)/(-180)). Let s(a) = a**3 + 13*a**2 + 5*a + 18. What is the remainder when s(l) is divided by 22?
14
Suppose 17*n - 180 = 5*n. Suppose 2*f - n*f = -39. Suppose -3*k - 5*p = -f*p - 62, -3*k - 5*p = -74. Calculate the remainder when 69 is divided by k.
15
Let q(v) = 3*v**2 + 11*v - 67. Let g be q(-15). Suppose -207 = -50*d + g. What is the remainder when 31 is divided by d?
5
Suppose -3*a - 4*d = -622, 286 = 2*a - 2*d - 152. What is the remainder when a is divided by 83?
48
Let o(i) = i**3 + 501*i**2 - 4064*i + 9. Suppose -2*y + 865 = -y - 2*f, 1754 = 2*y + 2*f. What is the remainder when y is divided by o(8)?
70
Suppose -v = -2*p - 22, -5*p + 37 - 146 = -4*v. Calculate the remainder when 961 is divided by v.
25
Calculate the remainder when 2101 is divided by -4*(2 + -2*(4 - -21)).
181
Suppose -3*a + 116 = a. Suppose 13*h - 271 = -5*p + 17*h, -3*p - 4*h = -169. Calculate the remainder when p is divided by a.
26
Suppose -5707*s + 65 = -5702*s. What is the remainder when 1830 is divided by s?
10
Let o(k) = -2*k**3 + 27*k**2 - 45*k + 157. What is the remainder when 6368 is divided by o(12)?
47
Let p(z) = z**3 + 31*z**2 - 180*z + 24. Suppose 2*x - 44 = x. What is the remainder when x is divided by p(-36)?
20
Let w = 4242 + -4070. Let a = 130 + -70. What is the remainder when w is divided by a?
52
Suppose -4*b - 223 = -351. Let q = -99 + 70. Let v = b + q. What is the remainder when v is divided by 1?
0
Suppose -171 = 240*k - 244*k - 3*q, 2*k = -4*q + 88. Let r(z) = -z**3 + 6*z**2 + 9*z - 9. What is the remainder when k is divided by r(7)?
2
Suppose 2*n - 4*a - 126 - 80 = 0, 0 = -3*n + 3*a + 288. Calculate the remainder when n is divided by 89.
0
Suppose -105*q + 65*q = -280. Suppose 3*z - 5*s - 103 = 0, 4*z + 5*s - 45 - 34 = 0. What is the remainder when z is divided by q?
5
Let a be 21/(-14)*64/(-3). Let d be -2 - 6*a/(-12). Suppose -5*z = -2*v + d, -4*v - 2*z = v - 35. Calculate the remainder when 19 is divided by v.
5
Suppose -964*p + 2956 = -434 - 3680 - 8354. Let b(m) = -m**3 - 5. Let k be b(0). Let w = 0 - k. Calculate 