 t(x) = -x**3 - 50*x**2 - 607*x - 38. What is the remainder when 351 is divided by t(-30)?
7
Suppose 248 = 4*o - 4*m, 2*o - m - 873 = -746. What is the remainder when 3694 is divided by o?
54
Suppose -20*p - 66 = -23*p. Let v = 9 + p. Let x = v + 13. What is the remainder when x is divided by 9?
8
Let j be (2088/2)/((-14)/(-21)). Suppose 4*b - 31*b = -j. Calculate the remainder when b is divided by 21.
16
Suppose -2*n + 5*j = -215, 5*n + 36*j - 563 = 40*j. What is the remainder when 16902 is divided by n?
112
Suppose 4*u = -2*p + 702, 3*u - 502 - 42 = -5*p. Let y = 207 - u. Calculate the remainder when 54 is divided by y.
20
Let v = -14 + 48. Let x = v - 12. Suppose -2688 = z - x*z. Calculate the remainder when z is divided by 33.
29
Let d(i) be the first derivative of 4*i**2 - 219*i - 173. Calculate the remainder when d(30) is divided by 12.
9
Let j(f) = 4*f**2 - 74*f - 487. Calculate the remainder when j(-9) is divided by 11.
8
Let g(i) = 21 + 8 - 46*i - 227. Let y = -23 + 50. What is the remainder when g(-6) is divided by y?
24
Let b(i) = 1027*i**2 + 13*i - 33. Calculate the remainder when b(2) is divided by 171.
168
Suppose 0 = r - 0*r - 3. Suppose r*m - 2*d - 77 = -4*d, 3*m - 65 = d. What is the remainder when 28 is divided by m?
5
Let s(w) = 15*w**2 - 202*w - 1783. Calculate the remainder when s(-9) is divided by 257.
222
Let u be 1 - 5/(-2)*(-10 - -8). What is the remainder when 161 + (-6)/(-9)*6/u is divided by 23?
22
Suppose 3*c - 1 = 5*a - 26, -5*c - 10 = -2*a. Suppose 3*z - 1 = 4*f, z - 32 = -0*z - a*f. What is the remainder when 96 is divided by z?
5
Suppose 2*l = -9*l - 33. Let o be (-3)/(-2)*(-8)/l. Suppose 0 = -o*g - 16, x - 5*g = -x + 22. What is the remainder when x is divided by 1?
0
Let k = 74 + -43. Let y be (-4)/14 + 144/14. Let w(u) = -u**2 + 13*u - 13. What is the remainder when k is divided by w(y)?
14
Suppose 17*n - 21*n + 2*s + 118 = 0, -s = 4*n - 97. Suppose f = -3*m + 4, -3*f + 9 = -2*f - 2*m. Calculate the remainder when n is divided by f.
5
Suppose 3*s - 3*x + 40 = 4*s, 80 = 2*s - x. Suppose -2*w + 67 = -i - 6, -3*i = w - s. What is the remainder when w is divided by 10?
7
Suppose -93*a + 77017 = -6125. What is the remainder when a is divided by 42?
12
Let o(l) = -l**2 - 58*l - 356. Calculate the remainder when o(-14) is divided by 56.
36
Let p(b) = -b**2 + 7*b + 49. Let f be p(-4). Calculate the remainder when (30/4)/(f + (-1388)/280) is divided by 4.
3
Suppose b - 101 = -r, r - 493 = -3*b - 2*b. Let x(u) = -48*u**2 + b*u**2 - 49*u**2 - 2*u. What is the remainder when 8 is divided by x(3)?
2
Suppose 0 = -4*k - 2*s + 15 - 5, 5 = -5*s. Suppose 0 = k*n - 34 - 68. Calculate the remainder when 63 is divided by n.
29
Let p = 9047 - 8864. Calculate the remainder when p is divided by 139/3 - 1/3.
45
Suppose 5*w + 12 = f - 8, 5*f = 5*w + 60. Suppose 0 = 4*d - 4 - 4. Calculate the remainder when 164 is divided by (-110)/(f/(-7 + d)).
54
Let g be (-7 - -34) + (-3)/(-9)*3. Suppose -y + g = -1. Let m = -19 + y. Calculate the remainder when 36 is divided by m.
6
Let m = -34 - -39. Let p be m/25 + 378/(-15). Let z = -17 - p. Calculate the remainder when 30 is divided by z.
6
Suppose -8*t - 14*t + 56056 = 0. Suppose 460 = -4*l + t. Calculate the remainder when l is divided by 75.
72
Let m(t) = -31*t**3 + 8*t**2 + 4*t. Calculate the remainder when 297 is divided by m(-1).
17
Let n(b) = 2*b**3 + 84*b**2 + 151*b - 79. Calculate the remainder when n(-40) is divided by 37.
22
Suppose -2*f + 8 = 0, -2*z = -3*z - 2*f - 67. Let i = 17 - z. Suppose 3*y - 2*t + 163 = 8*y, 2*y - 70 = -2*t. Calculate the remainder when i is divided by y.
30
Suppose -1137 = -5*o - 542. What is the remainder when 591 is divided by o?
115
Suppose -2*l = 3*o + 7 - 117, -2*l = -2*o - 90. Calculate the remainder when l is divided by 30.
19
Let z = -163 + 153. Calculate the remainder when (-10 + 1*-2)*125/z is divided by 38.
36
Let y(u) = u**2 + 44*u - 72. Let r = -475 + 429. What is the remainder when y(r) is divided by 6?
2
Suppose -6 + 42 = 3*d. What is the remainder when d is divided by 2*-1 - (-17 + (-70)/(-10))?
4
Let n = 148 + -136. Calculate the remainder when ((-52)/n*-33)/1 is divided by 72.
71
Suppose -4*w + 5*p + 7 = -32, 3*p - 3 = 0. Suppose 0 = 390*t - 380*t - 76 - 124. Calculate the remainder when t is divided by w.
9
Calculate the remainder when 1364 is divided by ((-20)/((-360)/18))/((-1)/(-172)).
160
Let l = -4009 + 4796. What is the remainder when l is divided by 57?
46
Let q(k) = -45*k + 320. Calculate the remainder when 38 is divided by q(7).
3
Let o(s) = -3*s**3 - 37 + 2*s**3 + 29 + 3*s. Let w be o(4). Let j = -46 - w. What is the remainder when 41 is divided by j?
13
Let l(m) = m**3 - 74*m**2 - 318*m + 606. What is the remainder when 368 is divided by l(78)?
92
Let f(j) = 229*j - 949. Calculate the remainder when f(8) is divided by 214.
27
Let o(i) = i**3 + 8*i**2 - 19*i + 26. Calculate the remainder when 450 is divided by o(-9).
102
What is the remainder when 555 is divided by 182/6 + (-130)/390?
15
Let b(v) = v**3 + 14*v**2 + 20*v + 45. Calculate the remainder when 414 is divided by b(-12).
42
Let n(j) = 88*j - 1260. What is the remainder when 728 is divided by n(15)?
8
Let y = -13516 + 13604. What is the remainder when 144 is divided by y?
56
Let i(p) = 31*p - 385. Calculate the remainder when 878 is divided by i(15).
78
Let m(c) = -22*c**2 - 162*c - 41. What is the remainder when 1604 is divided by m(-7)?
14
Suppose 5*m - 25 = 0, 0*y - 111 = -3*y - 3*m. Suppose -i + 2 = -4*n, 5*i = 4*n - 5*n - 11. What is the remainder when y is divided by (0 - i)/(2/11)?
10
Calculate the remainder when 264/(-11)*2*2/(12/(-45)) is divided by 195.
165
Let k = -804 - -976. Suppose -3*c - 94 = i - 179, -2*i = 5*c - k. Calculate the remainder when i is divided by 51.
40
Suppose 2*j + 3*u + 239 = j, j + 5*u + 235 = 0. Let y = 409 + j. Suppose -13*t + 9*t = -y. What is the remainder when 81 is divided by t?
40
Let s = -34181 + 35068. What is the remainder when s is divided by 89?
86
Suppose -1404 = 7*z - 116. Let n = z - -218. Calculate the remainder when 985 is divided by n.
33
Let x be 104 - -2*(-1 + 2). Suppose -3*q - 2*m = -16, -4*m - 4 = q - 4*q. Calculate the remainder when x/6 - 5 - (-1)/3 is divided by q.
1
Let m be (21/(-12) + 3)*4. Suppose 5*x + 100 = 2*d, 368 = m*d - 3*x + 118. What is the remainder when 148 is divided by d?
48
Let r(i) = -2*i**2 + i + 61. Let j(x) = -2*x**3 - 4*x**2 - 4*x - 3. Calculate the remainder when r(3) is divided by j(-2).
1
Let j = 1151 + -811. Let s(f) = f**2 + 4*f + 4. Let c be s(0). Suppose j = -c*z + 14*z. What is the remainder when z is divided by 9?
7
Let u = -259 + 115. Let p = u + 430. Calculate the remainder when p is divided by 7.
6
Let b(w) = w**3 + 22*w**2 + 7*w + 202. What is the remainder when 758 is divided by b(-22)?
38
Let h(t) = 15*t + 800. Calculate the remainder when 1043 is divided by h(-50).
43
Let j = -32 + 49. Let s(m) = m**3 - 15*m**2 + 3*m - 55. What is the remainder when s(j) is divided by 25?
24
Let p = -2305 + 2326. Calculate the remainder when 1738 is divided by p.
16
Let d = 4046 - -2447. Calculate the remainder when d is divided by 191.
190
Let r = 815 - 670. Calculate the remainder when 10726 is divided by r.
141
Let f(w) = -130*w**2 + 774*w + 3. Calculate the remainder when f(5) is divided by 42.
35
Let b = 208 - 208. Suppose b = 32*g - 35*g + 276. Calculate the remainder when g is divided by 24.
20
Let z = -176 - -190. Calculate the remainder when 5/(1 + (-62)/64) is divided by 135/(-10)*z/(-21).
7
Suppose -5131*z + 5154*z - 6417 = 0. Calculate the remainder when z is divided by 236.
43
Let h be (3 - (-19)/(-7)) + 500/14. Suppose -h = -4*y + 36. Calculate the remainder when y is divided by 1*(10 - 4) - -3.
0
Suppose 9*v = 10*v - 3*i - 615, -28 = 4*i. Calculate the remainder when 596 is divided by v.
2
Let g(p) = 22*p**2 + p - 1. Let l = 27739 - 27731. What is the remainder when g(1) is divided by l?
6
Suppose 4*z = -x + 223 + 87, 5*z - 401 = -8*x. Calculate the remainder when 258 is divided by z.
27
Let n(j) = j**3 - 6*j**2 - 10*j - 16. Let k be n(8). Suppose -4 - k = -12*s. Let z(q) = q**2 + 6. What is the remainder when z(0) is divided by s?
0
Let h(b) = -3*b - 117. Suppose -139 = 