 20. Suppose 0 = -h*q + 3*k + 47, -4*q - q = -k - j. Calculate the remainder when 13 is divided by q.
6
Let a(i) = 2*i**2 + 3*i + 2. Let y be a(-2). Let k be (3 + (-10)/y)*2. Calculate the remainder when 11 is divided by 2 + k + (-3 - -4).
3
Let b(r) = 10*r**2 - 1 - 5*r**2 + 10*r + 2 - 4*r**2. What is the remainder when b(-13) is divided by 7?
5
Suppose 516*j - 526*j + 9420 = 0. What is the remainder when j is divided by 63?
60
Suppose 729 = 11*p - 1889. What is the remainder when p is divided by 80?
78
Let y(k) = 7*k + 46. Let j be y(-7). Calculate the remainder when 12*-2*2/(-3) is divided by 18/(-4)*(j - -1).
7
Let g = -60 - -62. Suppose 4*s = 4*w - 72, -4*s + 4 = g*w - 2. What is the remainder when 1/(-4) + 410/8 is divided by w?
12
Suppose 0 = -29*t + 3800 + 5886. Calculate the remainder when t is divided by 8.
6
What is the remainder when ((-2)/(-4))/((-13)/130) - -97 is divided by 33?
26
Let c(j) = -j**2 - j + 2. Let x be c(0). Suppose 0 = -5*t - x*a + 93 + 104, 0 = t - 3*a - 36. Let d = 17 - 3. What is the remainder when t is divided by d?
11
Suppose 2*j = 15*b - 13*b - 94, 4*j - 199 = -5*b. What is the remainder when b is divided by 13?
4
Let n(i) = i**3 - 7*i + 2. Calculate the remainder when 66 is divided by n(3).
2
Suppose 5*t - 3*p - 15 = 0, 2*p = -p + 15. Let i be 6*t/(-9)*-11. What is the remainder when 43 is divided by 2/(4 + (-168)/i)?
10
Suppose -570 = -54*v + 44*v. Calculate the remainder when v is divided by 24.
9
Calculate the remainder when 50 is divided by (15/(-8))/(44/(-352)).
5
Suppose 3*n = 4*c - 134, 3*c = 5*c + 3*n - 76. What is the remainder when c is divided by 14?
7
Suppose 4*l - 4 - 8 = 0. Let b = 177 - 65. Suppose 4*v = 3*f + b, l*v = 4*f - 25 + 116. What is the remainder when v is divided by 13?
12
Suppose 3*k + 11 = -67. Let z = -17 - k. Calculate the remainder when 35 is divided by z.
8
Let s(d) = -16*d - 6. Let v be s(-10). Suppose -14*n + v = -14. What is the remainder when 23 is divided by n?
11
Let n(z) = -41*z - 8. Suppose 0 = -5*a - 2*v + 3 + 20, -4*v - 24 = -4*a. Suppose 0 = 6*s - a*s - 25. Calculate the remainder when n(-2) is divided by s.
24
Suppose 44*y - 763 = 1085. Calculate the remainder when 122 is divided by y.
38
Let i = 460 + -449. What is the remainder when 53 is divided by i?
9
Let i(m) = -10 - 2142*m**2 + m**3 - 6*m - 7*m + 2136*m**2. Let s = 29 + 10. Calculate the remainder when s is divided by i(8).
11
Let a = 293 - 89. What is the remainder when a is divided by 42?
36
Let v = 7 + -8. What is the remainder when 29 is divided by v + -2 - 18/(-1)?
14
Let g(r) = -2*r**2 - 33*r + 46. Suppose 0 = 2*x + 3*x - 50. What is the remainder when g(-17) is divided by x?
9
Let p(a) = a**3 - 7*a**2 + 3*a - 1. Calculate the remainder when p(7) is divided by (-4)/(-6) + (-2 - (-43)/3).
7
Let n be 3 + (-3 + 3)/(-4). Calculate the remainder when n + (-516)/(-4) - 3 is divided by 33.
30
Calculate the remainder when (51/(-15))/(3/45*-1) is divided by 8.
3
Let g be 6*(28/6)/(-7) + 0. What is the remainder when 6/(g/(-2)) + (-676)/(-13) is divided by 29?
26
Let f(q) = 94*q**2 + 6*q - 3. Calculate the remainder when f(1) is divided by 2.
1
Suppose 0 = 71*c - 73*c + 22. Calculate the remainder when 29 is divided by c.
7
Let m(c) = -19*c - 117. Let b(v) = -2*v + 3 + v**2 + 3*v - 6*v. Calculate the remainder when m(-8) is divided by b(6).
8
Let h be (-3)/(-15) + (-48)/(-10). Suppose -3*r - 167 = 2*v - 2*r, -410 = h*v + 4*r. What is the remainder when ((1 + 0)*v)/(-2) is divided by 11?
10
Let s(h) = 251*h - 221. What is the remainder when s(2) is divided by 146?
135
Suppose 10*d = 7*d - 33. Let m = d + 14. What is the remainder when 6 is divided by m?
0
Let s be -21*6*10/(-6). Suppose 8*u = 3*u + s. Let n = u - 30. What is the remainder when 45 is divided by n?
9
Suppose -3*q - 2*b = 33 - 89, 0 = 3*b + 6. Calculate the remainder when 797 is divided by q.
17
Let b = -1637 - -1704. What is the remainder when 184 is divided by b?
50
Let y = 23 + -7. Let l(c) = 2*c - 16 - 16*c**2 + c**3 + 36 - c. Calculate the remainder when 142 is divided by l(y).
34
Suppose 0 = 2*x + 4 + 6. Let r = -3 - x. Suppose 0 = r*c + 3*l - 3, -5*c - 2*l = l - 12. Calculate the remainder when c is divided by 3.
0
Suppose -4*m + y - 7 = 0, m + 4*y - 8 = y. Let b(d) = -3*d**3 + d**2 - d - 1. Calculate the remainder when b(m) is divided by (-6)/(-4) + (-6)/(-4).
1
Suppose 339 = 22*u - 35. Calculate the remainder when 253 is divided by u.
15
Let s = -94 - -115. What is the remainder when 74 is divided by s?
11
Let i(h) = -19*h - 1. Suppose 0 = -3*t, 16 - 42 = -c + 2*t. What is the remainder when i(-4) is divided by c?
23
Let g = 9 + -9. Let s = 6 - g. Calculate the remainder when 33 is divided by 168/18 + (-2)/s.
6
Let o be -13*(4 - 2)*(10 + -6). Let a = o - -122. Calculate the remainder when (2/1)/((-2)/(-67)) is divided by a.
13
Suppose 5*z = 4*g - 51, -4*z - 32 - 34 = -5*g. What is the remainder when 38 is divided by g?
10
Let z(t) = t + 84. Let n be z(0). What is the remainder when (-8944)/(-129) + 1/(-3) is divided by ((-3)/2)/((-9)/n)?
13
Let r be (-38)/(-5) + (-2)/(-5). Suppose w - f - r = -0*w, -w - 2*f + 14 = 0. Calculate the remainder when 2 + -30*6/(-12) is divided by w.
7
Let x(c) = -c**3 - 24*c**2 - 45*c + 3. Suppose 18*z - 13*z - 5*o + 130 = 0, 2*z + o = -40. Let m = -2 + 9. Calculate the remainder when x(z) is divided by m.
4
Suppose -4*w - 4*m + 18 = 2, -w + 20 = -3*m. Calculate the remainder when 150 is divided by w.
6
Calculate the remainder when 158 - 0 - 42/(6/1) is divided by 70/4 - 2/4.
15
Calculate the remainder when ((-5)/(-2) + -1)*14 is divided by (8 - 7)*(-3)/(12/(-32)).
5
Let r(n) = n + 2 + 7 + 1. What is the remainder when r(0) is divided by 30/(-9)*(-12)/10?
2
Suppose 40*o - 1101 = 1339. Calculate the remainder when 119 is divided by o.
58
Suppose 4*j - p = 758, 27*p - 955 = -5*j + 32*p. What is the remainder when j is divided by 19?
18
Suppose 3*x + 81*s = 82*s + 394, 3*x + 4*s = 389. What is the remainder when x is divided by 17?
12
Let h(s) = s**3 - 12*s**2 + 2*s - 67. Calculate the remainder when h(13) is divided by 2.
0
Let d = -275 - -336. Calculate the remainder when d is divided by 35.
26
Let x = 52 + -13. Calculate the remainder when (6/(-9))/((-1)/x) is divided by 9/2*(1 + 1).
8
Let m = -22 - -28. What is the remainder when ((-408)/(-20))/(m/20) is divided by 23?
22
Let a(w) = 9*w**2. Suppose -4*x + 123 = -b, 0 = 2*x - b - 66 + 7. What is the remainder when x is divided by a(1)?
5
Suppose 7*b = 2*b. Suppose -2*w + 5*o + 33 = b, 3*w + o - 15 = -3*o. Let h = 7 + 8. What is the remainder when h is divided by w?
6
Suppose f + 0 - 3 = 0. Let p be (10/(-4))/(f/(-30)). Let z = p - 7. What is the remainder when 33 is divided by z?
15
Suppose -19*z - 76 = -23*z. What is the remainder when z is divided by 7?
5
Let s be 0 - (-4)/(-2 - 2). Let h be s + (-3 - (-5 + -1)). What is the remainder when 12 is divided by ((-14)/10)/(h/(-10))?
5
Suppose 3*t - n - 256 = 0, 67 = -t + 2*t - 4*n. Suppose 3*k = 5*k + 3*j - 27, -3*k + 39 = 5*j. What is the remainder when t is divided by k?
15
Let k be (1 - 2 - -2) + -642. Let q = k + 1285. Suppose -6*h + q = 8. What is the remainder when h is divided by 27?
25
Suppose 0 = -8*a + 9*a - 3. Let j be 0 + (0 - -105)/a. Suppose -j = -3*u + l, 3*u + 2*l - 1 = 46. What is the remainder when 50 is divided by u?
11
Let f(j) = -j**3 + 20*j**2 + 17*j - 325. Suppose -d = -0*d - 36. What is the remainder when d is divided by f(20)?
6
Let n = 61 - 33. Suppose -5*t - 2*p + 89 = 0, -4*t + 63 = -5*p - n. What is the remainder when t is divided by 8?
3
Let d be (-1 + 4 + 7)/2. Suppose 0*n = -3*n + d*c + 124, n = 2*c + 43. Suppose 0*p = -3*p + 36. Calculate the remainder when n is divided by p.
9
Let a(j) = -j**3 + 47*j**2 - 52*j + 374. What is the remainder when 222 is divided by a(46)?
26
Let s(f) = -4*f - 5. Suppose -12 = -4*v + 4. Calculate the remainder when s(-4) is divided by v.
3
Suppose -4*a - 17 = -p, -24*p + 17 = -23*p - 2*a. Calculate the remainder when 356 is divided by p.
16
Suppose 3*f = -3*y - 0*f + 3, -5*f = 15. Suppose y*l - k - 83 = 0, 0*k + 3*k = -5*l + 91. Calculate the remainder when ((-4)/2)/((-4)/158) is divided by l.
19
Suppose -22*k + 5*r = -19*k - 4004, -k + 1328 = -3*r.