- 1. Let u be n(1). Suppose 0 = u*x - 0*x - 456. Calculate the remainder when x is divided by d.
12
Calculate the remainder when -4 + -1 + 68 + -1 is divided by 27.
8
Suppose 24*z = 9*z + 885. Calculate the remainder when 408 is divided by z.
54
Suppose 198*h = 210*h - 13800. What is the remainder when h is divided by 32?
30
Let t(l) = -l**2 - 11*l - 4. Let q = 55 + -39. Suppose -3*s + 0 = -2*y - 27, 3*y + q = s. What is the remainder when t(-8) is divided by s?
6
Let h(z) = -z**2 + 23*z - 24. Let w be h(16). Let c = 98 - w. Calculate the remainder when (-310)/(-8) - 2/(-8) is divided by c.
9
Let v = -14 + 10. Let h be 1 + (v + 3)*-3. Suppose -h - 3 = -y. What is the remainder when 26 is divided by y?
5
Let n(x) = -x + 24. Suppose 3*t = -5*o + 121, 2*o = -2*o + 4*t + 84. Calculate the remainder when o is divided by n(15).
5
What is the remainder when 20412/90*(-10)/(-6) is divided by 38?
36
Let s(i) = -70*i - 121. What is the remainder when 296 is divided by s(-2)?
11
Let u = -2 + 11. Let q = 5938 + -5930. What is the remainder when u is divided by q?
1
Let u(x) be the third derivative of x**6/120 - x**4/8 + 28*x**3/3 - 37*x**2. Calculate the remainder when u(0) is divided by 17.
5
Let o be 27/6 - 1/(-2). Suppose 5*g - 82 = -j + 3*j, -2*g + 3*j + 24 = 0. Calculate the remainder when ((-34)/o)/((-3)/15) is divided by g.
16
What is the remainder when 130 is divided by 3081/91 + 1/7?
28
Suppose q + d - 46 = 0, -q + 6*q = 2*d + 216. What is the remainder when q is divided by 63/14*32/6?
20
Let c(k) = 0 + 0 + 3*k - 5*k + 22. Calculate the remainder when 5 is divided by c(10).
1
Let i(v) = v. Let w be i(6). Suppose -4*h - 66 = -w*h. Suppose 3*z + c + 12 = 4*z, -2*c + 27 = z. What is the remainder when h is divided by z?
16
Let v = 48 + -28. Calculate the remainder when (1/(-2))/(1/(-156)) is divided by v.
18
Suppose 5*l - 19 = 4*h + 4, -h - 25 = -4*l. Suppose -4*i + 65 = -l. What is the remainder when i is divided by 7?
4
Let t = -60 - -96. Suppose -3*d = -3*u - t, -5*d - 2*u + 5 = -34. What is the remainder when 34 is divided by d?
7
Let o = 31 - 38. Let a(h) = -h**2 - 15*h - 8. Calculate the remainder when a(o) is divided by 14.
6
Let v be 1300/91 + -2*2/14. Let q(f) = 2*f + 5. Suppose -2*m - 36 = -4*m. Calculate the remainder when q(v) is divided by m.
15
Let v = -340 + 363. Calculate the remainder when 37 is divided by v.
14
Let h(t) = -t**3 - 11*t**2 - 30*t + 10. Calculate the remainder when 107 is divided by h(-5).
7
Let k = -10 + 13. Suppose 0 = -n - 4*m - 1, -5*m + 18 = k*n - 0*n. What is the remainder when 28 is divided by n?
6
Suppose -2*l + 14 = 5*x, -5*x + 6*l - 2*l + 2 = 0. Suppose -x*j + 226 = -4*u - 188, -3*u = -5*j + 1021. What is the remainder when j is divided by 41?
39
Suppose -v + 108 = 3*v. Suppose -7*q + 150 = 8*q. What is the remainder when v is divided by q?
7
Suppose 24*v - 98 = 17*v. What is the remainder when 77 is divided by v?
7
Let r = -6 + 12. Suppose 8 = 7*w - r. What is the remainder when (-48)/30*(-95)/w is divided by 26?
24
Let r = 105 + -74. Calculate the remainder when r is divided by 8.
7
Let l = 290 - 262. Let y = 118 + -40. Calculate the remainder when y is divided by l.
22
Let w = 40 - 31. Let k(x) = -x**3 - 4*x**2 + 5*x - 7. What is the remainder when k(-6) is divided by w?
8
Suppose 3*w + 2*f + 20 = 4*w, 34 = 2*w - f. Calculate the remainder when (-3399)/(-110) + (-5)/(-50) is divided by w.
15
Let l(u) = 126 + 99 + 2*u - 197. Calculate the remainder when 16 is divided by l(-11).
4
Let k = -1141 - -1157. What is the remainder when 68 is divided by k?
4
Suppose -4 = -13*b + 14*b. Calculate the remainder when 17 is divided by 2 + (8 - 4) + b.
1
Suppose 0 = 2*r - 78. Calculate the remainder when (1*-1)/(-1 + 2) + 154 is divided by r.
36
Let o = 103 + -3. Let r = o + -46. Calculate the remainder when r is divided by 4.
2
Let x(u) = -u. Let a be x(-4). Suppose 2 = a*f - 6. What is the remainder when 4 - (9/(-3))/3 is divided by f?
1
Let p(c) be the third derivative of c**5/30 - 9*c**4/8 + 7*c**3/2 - 34*c**2. Calculate the remainder when 173 is divided by p(14).
33
Let y = -541 - -570. Let k = 119 - 65. Calculate the remainder when k is divided by y.
25
Let x = -1533 - -1605. What is the remainder when x is divided by (-74)/(-3) + 2/6?
22
Let h be (1 + 11)/(-4) + 6 + 2. Suppose 64 + 71 = h*k. What is the remainder when 323 is divided by k?
26
Suppose -38*t + 289 = -357. Let l = 22 + 42. Calculate the remainder when l is divided by t.
13
Suppose 15 = -3*p + 18. Suppose 3*j + 0*j = t + p, -5*t + 25 = -5*j. Calculate the remainder when 11 is divided by t.
3
Let x be (-2178)/(-4)*30/(-5). Calculate the remainder when x/9*(2 + (-8)/3) is divided by 35.
32
Let o(k) = -2*k**2 - 75*k - 46. Calculate the remainder when o(-30) is divided by 58.
56
Suppose -p + 56 = 2*x, p - 60 = 3*x + 21. What is the remainder when 189 is divided by p?
57
Let j(y) = -y**3 - 44*y**2 - 43*y + 15. What is the remainder when 71 is divided by j(-43)?
11
Let y(c) = -3 + c**2 + 0*c**3 - c - c**3 + 3*c + 13. What is the remainder when (1/1)/((-2)/(-58)) is divided by y(0)?
9
Let v(z) = 8*z**2 + 4*z + 7. Let c be (-2)/(-1 + 3/(-3)). Calculate the remainder when v(-3) is divided by (18 + (0 - c))*1.
16
Suppose v - 5*x - 52 = -2, -4*v - 2*x + 266 = 0. What is the remainder when 132 is divided by v?
2
Let c = 165 - 64. Let w = 2945 + -2928. What is the remainder when c is divided by w?
16
Suppose 2*p - 5*o = 101, 0 = 4*o - 0*o - 20. Suppose -58*u = -61*u + p. What is the remainder when 102 is divided by u?
18
Calculate the remainder when 188 is divided by 12/(-54) - 443/(-9).
41
Suppose -2*n = -10*x + 12*x - 28, -x - 2*n + 13 = 0. What is the remainder when x is divided by (3*-6)/((-9)/6)?
3
Suppose -8 = -6*d + d - y, 12 = d - 5*y. Calculate the remainder when 88/(-1)*(-2)/d is divided by 13.
10
Let u = 1028 + -1016. Calculate the remainder when 1353 is divided by u.
9
Suppose -3*s + 112*g + 1867 = 113*g, 4*g + 2468 = 4*s. What is the remainder when s is divided by 89?
87
Let r be 12/15 + 122/10. Suppose 3*h - 3 = -2*j + r, 0 = -j - 5*h + 22. Calculate the remainder when j is divided by 2.
0
Suppose -3*c = 115 - 37. Let a = 50 + c. Calculate the remainder when a is divided by 4.
0
Let r be 0 - -4 - (27 + -2). Let w = r - -35. Suppose -75 = -3*n + 42. Calculate the remainder when n is divided by w.
11
Let n be (-4 + (2 - 3))/(-1). Suppose t - 20 = -3*s, t + 80 = n*t - 3*s. Suppose 2*a - a - t = 0. What is the remainder when a is divided by 11?
9
Let m = 115 + -94. Let c(i) = -2*i**3 - 3*i**2 + 4*i - 1. What is the remainder when m is divided by c(-3)?
7
Suppose 15*c + 16 = 751. What is the remainder when 341 is divided by c?
47
Let n = -55 - -188. Suppose -3*f + n = 2*v, -v - 64 = -2*v - 2*f. What is the remainder when v is divided by 35 + (-48)/8 - 10?
17
Let w be ((-228)/8)/(10/16 - 1). Suppose w = 5*n + 4*a, 0 = -4*n - 0*n + 4*a + 32. Calculate the remainder when 32 is divided by n.
8
Let l = -362 + 402. Calculate the remainder when 148 is divided by l.
28
Let r = 13 + -10. Suppose r*l - z = 4*z + 76, 2*l + 4*z - 14 = 0. What is the remainder when l is divided by 5 - 0*(-1)/2?
2
Suppose 0 = 5*v - 79 - 11. What is the remainder when v is divided by (8/12)/((-2)/24) - -15?
4
Let r = -61 + 153. Calculate the remainder when r is divided by (200/24 + -9)/((-4)/114).
16
Let h be 6/(((-2)/(-6))/1). Let g be (-1)/(-4) + h/(-8). Calculate the remainder when 52 is divided by (2 + -48)/g + 4.
25
Calculate the remainder when (-74)/851 + (3 - (-2302)/23) is divided by 22.
15
Suppose -13*y + 698 - 87 = 0. What is the remainder when 107 is divided by y?
13
Suppose -327 = -2*i + 33. Suppose 3*l - 5*q - 31 + 2 = 0, 2*l - 22 = 4*q. Suppose 8*v - i = l*v. Calculate the remainder when v is divided by 13.
10
Let h(b) = -b**3 + b - 6. Let q = -12 - -6. Let g be (-11 - -5)/(q/(-4)). What is the remainder when h(g) is divided by 14?
12
Suppose -10*a = -958 - 1362. Calculate the remainder when a is divided by 14.
8
Let w = -335 - -354. Calculate the remainder when 223 is divided by w.
14
Let y(g) = -g**2 - 15*g + 22. Let w be (-4)/(-12)*0 + -17. Let d be y(w). What is the remainder when -1 - (-192)/(d/(-3)) is divided by 25?
22
Let d = 8 + -2. Suppose 5*k + 10 = -l, l -