t. Calculate the remainder when t is divided by 22.
19
Let k be (3 - 3) + 1 + 2. Suppose g = -g - 4*n, 0 = k*g - 2*n. Let a(i) = -i**3 + i**2 + i + 60. What is the remainder when a(g) is divided by 21?
18
Suppose 0 = 21*b - 1092 - 21. What is the remainder when b is divided by 11?
9
What is the remainder when -3 + ((-1522)/(-14) - 4/(-14)) is divided by 9?
7
Let y(f) = -f**3 - 12*f**2 - 11*f + 7. Suppose 3*q - 4 + 37 = 0. What is the remainder when 13 is divided by y(q)?
6
Let b(w) = w**3 - 16*w**2 + 35. Let x be b(16). Suppose 10*m - x = 5*m. What is the remainder when 13 is divided by m?
6
Suppose -22*w - 183 = -1107. Calculate the remainder when 208 is divided by w.
40
Suppose 4*w - 8 = 8*w. Let s be 0*(w + -1)/6. Suppose 4*b + s*b = 52. Calculate the remainder when 51 is divided by b.
12
Suppose -28*v = -16*v - 108. What is the remainder when v is divided by 5?
4
Suppose 6*d = -5 + 221. Calculate the remainder when 244 is divided by d.
28
Let n(u) = 53*u**2 - 4*u - 4. Let p be n(-1). Let c = p + -40. Calculate the remainder when 38 is divided by c.
12
Let a(z) = 8*z + 1. Let b be a(-5). Let w = 63 + b. Calculate the remainder when w is divided by 5.
4
Suppose 976 = 3*l + 2*j, 4*j - 365 = -5*l + 1261. Calculate the remainder when l is divided by 4.
2
Let w(b) = 22*b**2 + b - 2. Let a be w(1). Suppose -5*z + a = -44. Let v = 16 - z. Calculate the remainder when 3 is divided by v.
0
Let w = 60 + -27. Let c = -21 + w. What is the remainder when 952/c + 2/(-6) is divided by 20?
19
Suppose -3*h = -n + 260, 0 = n + h - 140 - 132. What is the remainder when n is divided by 12?
5
Suppose 5*c + n = 116, c + c - 5*n - 41 = 0. Suppose v + 0*v - 14 = -4*o, -o = 4*v - 11. Suppose a = -o*a + 32. What is the remainder when c is divided by a?
7
Suppose 6468 = 11*q - 2233. Calculate the remainder when q is divided by 33.
32
Let j = 144 + -111. Let g = 46 - j. Suppose o = -5, -2*o = 5*n - 6*n + 47. What is the remainder when n is divided by g?
11
Let k(v) = 2*v**2 - 3*v + 90. What is the remainder when k(-11) is divided by 17?
8
Let p(o) be the second derivative of -o**5/20 + 2*o**4/3 + o**3/3 - 6*o**2 - 12*o. Calculate the remainder when p(6) is divided by 15.
12
Let t(i) = -i**3 + 5*i**2 + 9*i - 4. Let u(c) = -11*c - 2. Let q be (1/3)/((-6)/90*1). Calculate the remainder when u(q) is divided by t(6).
11
Suppose -5*l - p + 762 = 0, -l + 74 + 64 = 5*p. Calculate the remainder when l is divided by 52.
49
Suppose 128*l - 135 = 125*l. Calculate the remainder when l is divided by 17.
11
Let o(u) = -u**3 - 17*u**2 - 2*u - 33. Let c be o(-17). Let s = 12 + c. Calculate the remainder when 37 is divided by s.
11
Suppose -n - 6 = -0*n. Let h(g) = -10*g**2 - 10*g - 8. Let l be h(n). What is the remainder when 15 is divided by l/(-33) + 1/(-3)?
6
Let c(t) = 10*t**2 - 5*t + 6. What is the remainder when 11 is divided by c(1)?
0
Let i = -62 + 64. Suppose v - 2*v = -7. What is the remainder when v is divided by i?
1
Suppose -3*i + 3 = -2*i. Suppose 3*k - 7 = -4*b + 24, -9 = i*k. What is the remainder when b is divided by 4?
2
Let q be 2/(-4) + 6/(-12). Let v(g) = -10*g + 1. What is the remainder when 43 is divided by v(q)?
10
Let z = -21 - -24. Let g be (-1378)/(-5) - (-14)/35. Suppose -g = -y - z*y. Calculate the remainder when y is divided by 24.
21
Suppose 0 = -5*c + 2*q - 81, 10 = -3*c + q - 38. What is the remainder when 46 is divided by (-3)/c*-2 - (-174)/10?
12
Suppose -20*u + 304 = -383 + 247. Calculate the remainder when (-1 + 1 - 26)*-2 is divided by u.
8
Suppose 13 = -84*z + 97. Suppose l + 5*w + 3 = -4, 5 = 5*l + 5*w. Calculate the remainder when l is divided by z.
0
Let l(s) = 6*s + 6 - s**3 - 4*s**2 - 20*s + 9*s + 10*s. Calculate the remainder when 8 is divided by l(-5).
2
Let c = 21 - 3. Let i = -17 + c. Calculate the remainder when 21 is divided by 8 - (-2 + 3) - i.
3
Suppose m - 2*r - 51 = -5*r, -3*m - 4*r = -133. Suppose -2*b + m = -5*o - 42, 3*b + 5*o - 134 = 0. Calculate the remainder when b is divided by 23.
20
Let c(s) = -s**2 - 13*s - 34. Suppose -b = 5*u + 31, 4*u + 0*b + 20 = -2*b. Calculate the remainder when 31 is divided by c(u).
7
Let y = 26 + -16. Suppose -2*q - 2*q = 2*w - 6, -4*w = -q - 12. Calculate the remainder when y is divided by w.
1
Let x be (-1)/(-3) + 13424/48. Suppose x = 8*o + 48. Calculate the remainder when o is divided by 16.
13
Suppose 3*w - 2*v - 162 + 48 = 0, 0 = 5*w + 3*v - 209. What is the remainder when 116 is divided by w?
36
Suppose 127*d - 131*d + 28 = 0. Let j = d - -28. Calculate the remainder when j is divided by 15.
5
Let a(i) = i**3 + 14*i**2 + 14*i - 85. Calculate the remainder when 487 is divided by a(-12).
32
Let p be (13/4)/((-3)/(-180)). Suppose -21*v + p = -16*v. Let n = 72 - v. What is the remainder when n is divided by 12?
9
Suppose -136 = -8*r + 168. Let k(t) = 72*t + 3. What is the remainder when k(1) is divided by r?
37
Let k(a) = a**3 + 5*a**2 + 12. Suppose 58 + 117 = 5*v. What is the remainder when v is divided by k(-5)?
11
Let h = 2 - -3. Let v = h - 3. Suppose -v*p + 0*p = -3*o - 27, -3*p + 57 = o. What is the remainder when 52 is divided by p?
16
Let r(n) = 10*n**2 + 1. Let z = 104 + -84. Calculate the remainder when z is divided by r(1).
9
Let g(t) = -2*t**2 + 17*t + 6. Suppose -n - n - 4*l + 16 = 0, 5*n + 2*l - 40 = 0. Calculate the remainder when 53 is divided by g(n).
11
Let f(q) = -q**2 + 4*q - 1. Let u be f(3). Suppose 0 = u*j + 2*j - 32. Suppose -5 = -2*p + 5. Calculate the remainder when j is divided by p.
3
Let k(d) = -16*d - 12. Let x(t) = 5*t + 4. Let j(v) = 6*k(v) + 17*x(v). Suppose -2*l = -18*l + 240. What is the remainder when j(-3) is divided by l?
14
Suppose -3*n = 3*y - 27, 4*n - 3*y - 9 = 2*y. Suppose n*j - 88 = 2*j. What is the remainder when 77 is divided by j?
11
Let r(u) = -u**2. Let a(j) = 7*j**2 - 8*j + 7. Let i(c) = a(c) + 5*r(c). Calculate the remainder when i(5) is divided by 3.
2
Let n = 8 - 4. Suppose 0*k = -n*k + 156. Suppose 0 = 27*f - 9*f - 180. Calculate the remainder when k is divided by f.
9
Suppose -4*q + 4*i + 952 = 0, -2*q + 269 + 211 = 2*i. Calculate the remainder when q is divided by 30.
29
Suppose 0 + 3 = h. Suppose 5*v + 3*b = 0, h*v - 5*v + 3*b = -21. Calculate the remainder when 16 is divided by v.
1
Calculate the remainder when 17 is divided by ((-2541)/55)/(-11) + (-3)/15.
1
Suppose -196*k + 2645 = -191*k. Calculate the remainder when k is divided by 76.
73
Suppose 0 = -q + 8*q - 315. Calculate the remainder when q is divided by 32.
13
Let g = 30 + -21. Calculate the remainder when 0/1 + (-3864)/(-161) is divided by g.
6
Let w be -6 + (-66)/(-9) + (-2)/(-3). Suppose -w*h - 5 = 4*n - 31, 2*n = 0. Calculate the remainder when (49/3)/(1/3) is divided by h.
10
Let i = 14 - -4. Suppose -6*q + q + 170 = 0. Calculate the remainder when q is divided by i.
16
Suppose 0 = -10*w - 547 + 1467. What is the remainder when 643 is divided by w?
91
Suppose 2*t + w + 900 = 5*t, -3*w + 1187 = 4*t. Calculate the remainder when t is divided by 9.
2
Let h be -4 + (-14)/(2 - 3). Let y be (-2)/(-7) - h/35. Suppose 0 = -3*z + q + 38, -5*z + y*q - q = -50. What is the remainder when 20 is divided by z?
9
Let s(j) = -j**3 + 37*j**2 + 79*j - 2. What is the remainder when 663 is divided by s(39)?
34
Suppose s = -5*j + 32, -3*s = -5*j + 2*j + 30. Suppose 2*q = 5*n - 69, -5*n - j*q + 3*q = -87. What is the remainder when 57 is divided by n?
12
Suppose 87 = 11*p + 21. Let x be -1*2/2*-6. Let b = -1 + x. Calculate the remainder when p is divided by b.
1
Calculate the remainder when 810 is divided by (10 + -11)/(1*(-3)/174).
56
What is the remainder when (-1530)/(-20) + (-2)/(-4) + 1 is divided by 39?
0
Let c(b) = b**2 - b + 8. Let u(f) = f**2 + 6*f + 3. What is the remainder when c(0) is divided by u(-6)?
2
Let l(a) = -4*a - a**2 + 0*a**2 - 24*a**3 + 3*a + 0*a**2. Let w be l(-1). Let s = 13 + w. What is the remainder when s is divided by 10?
7
Let q = 72 + -6. Calculate the remainder when q is divided by 1/(25/(-90))*-5.
12
Let n = -3 - -18. Let m(q) = 30*q - 3. Calculate the remainder when m(2) is divided by n.
12
Let z be ((-114)/12)/(2/4). Let b = 39 + z. Calculate the remainder when 3 is divided by (8/b)/((-2)/(-10)).
1
Calculate the remainder when 40 is divided by (-6)/18*(-