g, -a*g + 0*x + 4*x = -23. What is the remainder when 3 is divided by g?
0
Let x(a) be the third derivative of -1/24*a**4 + 1/60*a**5 + 1/10*a**6 + 0*a**3 + 6*a**2 + 0*a + 0. Calculate the remainder when 22 is divided by x(1).
10
Suppose u - 22 = -l + 8, -3*u + 93 = 2*l. What is the remainder when u is divided by 2?
1
Suppose 6*v = v - 5*s + 65, -v + s = -3. Suppose -o - v = -4*r, -5*r - 3 + 4 = -2*o. Suppose -98*x + 10 = -96*x. What is the remainder when o is divided by x?
2
Suppose 14*n - 11*n = -9, 0 = -4*y - 4*n + 112. Calculate the remainder when 92 is divided by y.
30
Let v = 7 + 43. Suppose -138 - 239 = -29*y. What is the remainder when v is divided by y?
11
Let f(g) = 5*g**2. Let t(y) = y**2 - 1. Let a(j) = f(j) - t(j). Calculate the remainder when a(-4) is divided by 34.
31
Suppose 0*g = 4*g - 96. Suppose -p - 5*x = -27, -5*p + 106*x = 102*x - 19. Calculate the remainder when g is divided by p.
3
Calculate the remainder when 243 is divided by (-113 - (-15 + 36))/(-1 + 0).
109
Calculate the remainder when 42 is divided by 100/30*18/4.
12
Calculate the remainder when 1355 + (-72)/(18/2) is divided by 27.
24
Suppose -6*u + u + 114 = -2*a, 3*a + 153 = 3*u. Let r = -27 - a. Calculate the remainder when r is divided by (6 - 2)/((-1)/((-9)/6)).
2
Let n = 215 + -123. What is the remainder when n is divided by 33?
26
Suppose -5*r + 4*p + 131 = 0, 2*r = -2*p + 10 + 28. What is the remainder when 3 - 1 - 66/(-1) is divided by r?
22
Let b(z) = 3*z**2 - 14*z - 25. Calculate the remainder when 214 is divided by b(-3).
38
Calculate the remainder when 191 is divided by (-7)/(-3) + 6440/138.
44
Suppose 322*v - 333*v + 1221 = 0. What is the remainder when v is divided by 42?
27
What is the remainder when (-5 - 0)*(24/(-6) + 2) is divided by 6?
4
Suppose 0 = 7*b - 4975 + 1664. Calculate the remainder when b is divided by 68.
65
Suppose 5*y = -5, 3*y - 36 = -2*l + 5*y. Let n = -1066 - -1072. Calculate the remainder when l is divided by n.
5
Let y(r) = -r**3 - 4*r**2 + 5*r + 3. Let k be y(-5). Suppose -3 = k*j - 4*j. Suppose -j = a - 16. Calculate the remainder when 24 is divided by a.
11
Let f = -120 + 48. Let g = 106 + f. Suppose 4*k + 2*u - 44 = 0, -7 = k - 5*u + 4. Calculate the remainder when g is divided by k.
7
Let d(v) = 23*v**2 + 1 - 10*v - 3*v + 14*v. What is the remainder when 147 is divided by d(1)?
22
Suppose -r + 4*d + 32 = 3*d, d + 140 = 5*r. What is the remainder when r is divided by 16/(-32) - -7*(-3)/(-2)?
7
Let s(x) = -17*x + 42. Let p(a) = -11*a + 28. Let z(c) = -8*p(c) + 5*s(c). Calculate the remainder when z(11) is divided by 11.
8
Let d(q) = -q - 80. Let s be d(0). Let w = 119 + s. Let z(g) = g**3 - 6*g**2 - 3*g - 7. What is the remainder when w is divided by z(7)?
18
Let w(g) = 5*g**3 - 4*g**2 + 6*g - 8. Calculate the remainder when w(4) is divided by 13.
12
Let s = 10 + -131. What is the remainder when 22/s + 1377/11 is divided by 32?
29
Let r = -9 - -32. Suppose -r - 97 = -3*q. Suppose -4*m + q + 8 = 0. What is the remainder when 58 is divided by m?
10
Let m be (-1)/(-2*2/72). Let o = 71 + -29. Let p = o - m. What is the remainder when p is divided by 13?
11
Let b(r) = -13*r - 1. Let u be b(2). Let t = -3 - u. Calculate the remainder when (4/(-16))/((-2)/t) is divided by 3.
0
Suppose -37*o = -o - 10044. Suppose -4*w + 179 = 3*l, -82 - 118 = -4*w + 4*l. Calculate the remainder when o is divided by w.
44
Suppose -3*b + 1966 = -5*g, 10*b = 14*b - 4*g - 2624. What is the remainder when b is divided by 132?
129
Suppose -2*a = -4*w - 40, -2*a + 5*w + 32 = -7. Let y = a - -10. What is the remainder when 127 is divided by y?
31
Calculate the remainder when (15/(-2))/(12 + 405/(-30)) is divided by 3.
2
Let f = 728 - 648. What is the remainder when f is divided by 29?
22
Suppose 0*n + 4*y + 22 = 2*n, -y = 2*n - 2. Suppose -8*z = -5*a - 4*z + 352, a + 5*z = 82. What is the remainder when a is divided by (-2 - (-3 + n)) + 17?
12
Let n(x) = x**3 - 6*x**2 - 16*x - 4. Let r be n(8). Let h = r - -24. What is the remainder when 77 is divided by h?
17
Let w(p) = -8*p**3 + 3*p**2 + 3*p - 1. What is the remainder when w(-2) is divided by 364/20 - 3/15?
15
Let d = 54 + -31. Suppose 0 = -3*v + 79 + d. Let l(s) = -s**3 - 4*s**2 + 4*s + 7. What is the remainder when v is divided by l(-5)?
10
Let r = -10 + 14. Let i(q) = q**3 + 63 - 5*q - 130 - 2*q**2 + 66. Calculate the remainder when 41 is divided by i(r).
8
Suppose 0 = 6*u + 6*u - 24. Calculate the remainder when 11 is divided by u.
1
Suppose 4*k - 5*j + 3*j = 130, -2*k + 61 = 3*j. Calculate the remainder when 127 is divided by k.
31
Let q = 53 - -121. What is the remainder when q is divided by 22?
20
What is the remainder when 315 is divided by 7*12/(-168)*158*-1?
78
Let w = 6 + 19. Let t = -31 + 38. What is the remainder when w is divided by t/(-4)*16/(-2)?
11
Suppose 2 = -0*k - k + n, -n + 5 = 0. Suppose 0*h + 59 = k*h - t, -t + 109 = 5*h. Calculate the remainder when h is divided by 11.
10
What is the remainder when (5963/(-267))/(2/(-6)) is divided by 26?
15
Let k = -519 + 581. What is the remainder when k is divided by 18?
8
Calculate the remainder when 79 is divided by (-5 - 2) + 13 + 11.
11
Let a(y) = y**2 + y + 1. Let n(b) = -b**2 - b - 2. Let d(g) = 6*a(g) + 2*n(g). Suppose -j - 364 = -14*j. Calculate the remainder when j is divided by d(-2).
8
Let h = -32 - -45. Suppose -3*a - 250 = -h*a. What is the remainder when 147 is divided by a?
22
Suppose -8*q + 25*q - 714 = 0. What is the remainder when 371 is divided by q?
35
Let g(w) = 4*w**3 - 5*w**2 + 2*w + 2. Let h be g(4). Suppose -h - 349 = -5*i. Let x = -66 - -93. What is the remainder when i is divided by x?
26
Suppose 328 = -4*c + 12*c. What is the remainder when c is divided by 6?
5
Let o = -25 - -51. Let a = o + -18. What is the remainder when (3/(-2))/(9/(-84)) is divided by a?
6
Suppose 185 = -52*j + 57*j. Suppose 24 = r - j. What is the remainder when r is divided by 32?
29
Let d be (3 - 3) + (2 - 1). What is the remainder when 11 - (-2214)/42 - (-2)/7 is divided by d/((-1 - 0)/(-17))?
13
Let y(v) = -5*v + 38. Let k(z) = 3*z - 19. Let i(f) = -5*k(f) - 2*y(f). Let r(q) = 19*q + 5. Calculate the remainder when r(5) is divided by i(-3).
32
Suppose 3*w - 5*n + 5 = -0, -n + 1 = -4*w. Suppose 5*q + w*q - 401 = 4*y, 2*y = 5*q - 403. Calculate the remainder when q is divided by 42.
39
Suppose 224 = 4*j - 4*x, -2*j + x + 84 = 6*x. What is the remainder when 204 is divided by j?
48
Suppose -3*q + 32 + 43 = 0. Let g = 33 - q. What is the remainder when 13 is divided by g?
5
Let i = 51 - -20. Calculate the remainder when i is divided by 36.
35
Let r be 9/(-18)*(-16)/(-10)*-5. Calculate the remainder when 87 is divided by 8 - r*(-4)/8.
7
Suppose 13*n = 249 + 440. Suppose -30 = -2*h - 3*h. Let l(b) = 2*b + 6. Calculate the remainder when n is divided by l(h).
17
Suppose -2*n + 4 = 2*k - 4, -k = 4*n - 10. What is the remainder when (-3750)/(-105) + k/7 is divided by 13 + (-1 - (-1)/1)?
10
Suppose -y = y. Suppose y = 4*r - 5 + 17. Calculate the remainder when 4/((-4)/(-39)) + r is divided by 13.
10
Let x(s) = -133*s**3 - s**2 + s + 1. Let t(i) = -5*i**2 + 187*i - 55. What is the remainder when x(-1) is divided by t(37)?
18
Calculate the remainder when (-3)/5 - 13/(390/(-14448)) is divided by 23.
21
Suppose 4*d - 302 = -2*w, 104 = w - 4*d - 65. Calculate the remainder when w is divided by 41.
34
Let r = -42 + 75. Suppose 4*h - r = -9. Suppose 3*n + 3*i = -i - 11, 4*n - 5*i = 37. What is the remainder when h is divided by n?
0
Let v(f) = -49*f - 84. Calculate the remainder when v(-10) is divided by 11.
10
Suppose -622 = -5*r + 103. Let a = 158 - r. Calculate the remainder when 36 is divided by a.
10
Let j be -19 - -23 - (-1 + 1). Suppose -10 = -j*s + 14. Calculate the remainder when 9 is divided by s.
3
Suppose -45 = -l - 2*l. Calculate the remainder when (-4)/22 + (-431)/(-11) + -1 is divided by l.
8
Suppose 0 = -3*u + 11*q - 13*q + 43, -5*q = 5*u - 80. Suppose 0*k - 2*k + 62 = 0. Calculate the remainder when k is divided by u.
9
Suppose 0 = 3*m + 4*n + 113, 5*m + 5*n + 198 = 8. Let p = 51 + m. Calculate the remainder when p is divided by 8.
4
Calculate the remainder when (4/(-8))/((-5)/1490) is divided by 75.
74
Suppose -3*l = 5*m - 11, 5*l + 4