 remainder when (31 - 166)*8/(-6) is divided by 14.
12
Let i(q) = -q**2 + 35*q + 59. What is the remainder when i(35) is divided by 12?
11
Let h(d) = d**3 + 9*d**2 + 14*d + 7. Suppose 0 = -5*c - 3*i + i - 28, -3*c - 13 = 5*i. Calculate the remainder when h(c) is divided by 16.
15
Let c(p) be the third derivative of 5*p**4/24 + p**3/6 + 2*p**2. What is the remainder when c(1) is divided by 4?
2
Suppose c + 16*c - 1598 = 0. What is the remainder when c is divided by 14?
10
Let x = -428 + 477. What is the remainder when x is divided by 13?
10
Let d = 245 + -237. Suppose -22 = -2*o + 5*q + 3, 4*o = -q - 5. Suppose -j - 4*i + 4 = o, 0 = j - 5*j - 5*i + 60. What is the remainder when j is divided by d?
4
Let n(q) = q**3 + 8*q**2 + 2*q + 6. Let r be n(-6). Suppose 20 = 3*t - 5*v - r, -3*t - 2*v = -58. What is the remainder when 62 is divided by t?
18
Calculate the remainder when (182/8 + -1)/((-228)/(-304)) is divided by 28.
1
Let u(x) = 91*x**2 + 20*x - 6. What is the remainder when u(-2) is divided by 10?
8
Let h(a) = -a**3 - 3*a**2 + 3*a + 4. Let f = 11 + -9. Suppose -f*z = 3 - 13. What is the remainder when h(-4) is divided by z?
3
Let f = 448 - 395. What is the remainder when f is divided by 19?
15
Let c(s) be the second derivative of -s**5/20 + 5*s**4/12 - s**3/2 - 3*s**2/2 - 14*s. What is the remainder when c(2) is divided by 2?
1
Calculate the remainder when -6 + -6*(-3222)/12 is divided by 24.
21
Suppose -16*z + 11*z + 4*l = -665, 3*z = -3*l + 426. What is the remainder when z is divided by (6 - 2 - -3)*4?
25
Suppose 4*x - j - 297 = 4*j, 2*x + 4*j - 116 = 0. Calculate the remainder when 201 is divided by x.
65
Let y = -29 - -69. Suppose -8 = 7*s - 22. Suppose 9 = -4*g - 4*h + 45, 0 = -s*h + 4. What is the remainder when y is divided by g?
5
Suppose -d + 2*c + 12 = 0, 0 = 2*d - 5*d - 3*c + 9. Suppose 145 = -g + d*g. What is the remainder when 85 is divided by g?
27
Let n(b) = b**3 + 4*b**2 + 4*b + 2. Let q be n(-2). Let x = -8 + 16. Suppose 2*j = -2*l, -5*j + l + x = -q*j. What is the remainder when 7 is divided by j?
1
Suppose 2*p + 3*a = 31, -p - 7*a = -4*a - 23. What is the remainder when 205 is divided by p?
5
Let u be (-1)/2 - 81/6. Let i(o) = -8*o - 28. Calculate the remainder when i(u) is divided by ((-2)/3)/(2/(-87)).
26
Suppose 22 = 2*g - 14. Calculate the remainder when g is divided by (4/1)/((-2)/(-6)).
6
Let b(r) = r**3 + 28*r**2 + 25*r - 32. Let p be b(-27). Suppose 3*k - 11 = 3*s + p, 0 = 4*s + 20. What is the remainder when 7 is divided by k?
1
Suppose 0 = -c - 4 + 11. Suppose 0 = -r - 2*i + 5, 3*r + i - 24 = 4*i. What is the remainder when r is divided by c?
0
Suppose -6720 = -75*a + 45*a. What is the remainder when a is divided by 62?
38
Let r(c) = -12*c - 1. Let o(v) = -v**2 - 22*v + 7. What is the remainder when o(-19) is divided by r(-1)?
9
Let m = -50 + 88. Suppose 3*y - 19 = -4*t, -2*y - 2*y = -t - m. What is the remainder when y is divided by 3?
0
Suppose 4*o = -2*p + 130, -20 = -4*p - 0*p. Calculate the remainder when o is divided by (-48)/15*10/(-2).
14
Let u = 146 + -46. Let f be -3*(u/6)/5. What is the remainder when 41 is divided by (f + 11)/(1/11)?
8
Suppose -4*o - 9 = -d, -4*d - o + 11 = -8. Suppose q - 3 = -d*y + 45, q - 47 = -4*y. Calculate the remainder when q is divided by 8.
3
Let x = -219 + 224. What is the remainder when 15 is divided by x?
0
Let p = -17 - -20. Suppose -i = -p*y - 27 - 9, -2*i - y + 86 = 0. What is the remainder when 124 is divided by i?
40
Suppose 6*h + w = 4*h + 15, 0 = -3*h - 2*w + 21. Suppose -2*s = -5*s + h. Suppose n = s*n - 102. What is the remainder when n is divided by 13?
12
Suppose k + 2 = 5*z - 4, -2*k = -4*z. Suppose -15 = -2*y + 3*l - k*l, 5*l = y - 2. What is the remainder when y is divided by 4?
3
Let s = -57 + 80. What is the remainder when 77 is divided by s?
8
Let n(b) = 19*b + 1. Let k(w) = -14*w + 24. Let r be k(-7). Suppose 3*f - r = -5*g, 4*f - 172 = 5*g - 56. Calculate the remainder when n(7) is divided by f.
32
Let i be ((-2)/(-3) - 0)/((-11)/(-660)). Let w = -19 + i. What is the remainder when 61 is divided by w?
19
Suppose 3*u + 30 = -2*n, 3*u + 7 = -5*n - 23. Let w = -2 - u. Let x = w + 1. Calculate the remainder when x is divided by 3.
0
Suppose 0 = -2*p + 754 - 742. Suppose 5*m - 165 = -6*v + 2*v, -2*m + 10 = 0. What is the remainder when v is divided by p?
5
Let d = 73 - 70. What is the remainder when 10 is divided by d?
1
Let x(s) = -s**2 + s + 22. Let d be x(0). Suppose 4*y = 2*w + d, 8 + 14 = y + 5*w. Calculate the remainder when y is divided by 2.
1
Suppose 2*u = -4 + 10. Suppose u*k - c = 280, -3*k = -2*c + 6*c - 290. Calculate the remainder when k is divided by 24.
22
Suppose 3*j + 50 = 5*h, 5*h + 0*j - 50 = j. Let p(c) = h*c**2 + 7*c + 2*c - 9*c**2 + 2 - 2*c. Calculate the remainder when p(-7) is divided by 1.
0
Let z(w) = w + 12. Let q be z(-11). Let f be ((-3)/5 + q)*5. What is the remainder when f/(-6) - (-37)/3 is divided by 5?
2
Suppose 0 = -10*l + 5*l + 160. Calculate the remainder when 14 is divided by 328/l - (3/(-4) - -1).
4
Suppose -6*v = 8*v - 728. What is the remainder when 71 is divided by v?
19
Suppose -5*a = -9*a - 5*m + 853, -m = 4*a - 849. Calculate the remainder when a is divided by 12.
8
Suppose 4*u - 110 = -3*i, 3*i - 65 = -0*i + 5*u. Calculate the remainder when 84 is divided by i.
24
Let x be (-4 - -6)*595/(-10). Let p = -105 - x. Calculate the remainder when 26 is divided by p.
12
Suppose -2*a + 5*t = -11, 2*a + 2*a - t - 31 = 0. Suppose 0 = o + 5 - a. Calculate the remainder when 9 is divided by o.
0
Let h = 18 - -13. Suppose 3422 = 4*u + 1078. Suppose 7*y = u + 44. Calculate the remainder when y is divided by h.
28
Suppose -5*c = 2*g + 42, c + g = -4*c - 46. What is the remainder when 0/c - (2/2 - 82) is divided by 4?
1
Suppose 11*l = 680 + 244. Suppose -3*x - u + 95 - 25 = 0, 0 = -5*u + 20. What is the remainder when l is divided by x?
18
Suppose 24 = -4*z - 4*w, -z - 3*w + w - 1 = 0. Calculate the remainder when (-149)/(-7) - (-6)/(-21) is divided by (12 - 7)*z/(-5).
10
What is the remainder when 152 is divided by (-39)/(-5)*(-5)/(-1)?
35
Suppose -u = 3*m - 195, -m + 4*u - 1 + 53 = 0. Calculate the remainder when 119 is divided by m.
55
Let y(b) = 2*b**3 - b**2 - 3*b - 11. Let v be y(5). Suppose -v - 31 = -5*f. What is the remainder when f is divided by 24?
22
Let i = -410 - -474. Calculate the remainder when i is divided by 23.
18
Let j(t) = -42*t - 4. Let h(v) = v**3 + 15*v**2 - 35*v - 20. Let y be h(-17). Calculate the remainder when j(y) is divided by 25.
22
Let u = 294 - 160. What is the remainder when u is divided by 27?
26
Let a be (-83)/9 - (-4)/18. Let q = 16 - -52. Calculate the remainder when q is divided by (46/(-3))/(6/a).
22
Let n be -2*(-2)/(-28) - 58/(-14). Suppose n*m - 87 = 21. Calculate the remainder when 77 is divided by m.
23
What is the remainder when 0 - (-4 + 121)/(-3) is divided by 4/4 + 13 + -4?
9
Let r(j) = j + 104. Calculate the remainder when 295 is divided by r(-5).
97
Suppose 99*q - 25476 = 55*q. Calculate the remainder when q is divided by 53.
49
Let l = -29 + 41. Suppose -1 = -4*q + 11. Suppose h = q*y + 44, 2*h + 7*y - 55 = 2*y. Calculate the remainder when h is divided by l.
11
Suppose -200*z + 258 = -197*z. Calculate the remainder when z is divided by (0 - 3)/(1/(-6)).
14
Suppose -2*t + 7*n = 2*n - 211, -n + 1 = 0. Calculate the remainder when t is divided by 57.
51
Let i(c) = 137*c**2 - 68*c - 68. What is the remainder when i(-1) is divided by 29?
21
Let l(r) = -4*r**2 - 80*r - 30. What is the remainder when 136 is divided by l(-19)?
44
Let q = 31 + -9. Let v = -362 - -376. What is the remainder when q is divided by v?
8
Suppose -5*a + 67 = 5*y - 113, 2*a = 2*y + 92. Let m(z) = 2*z + 60. Calculate the remainder when a is divided by m(-23).
13
Let l = -40 - -84. Suppose 0 = 2*h - h - 1, 3*z = 3*h - 75. Calculate the remainder when l is divided by (-1)/((2/z)/1).
8
Suppose -5*g - 19 = 111. Calculate the remainder when 5/130*-4 - 1512/g is divided by 10.
8
Let c(w) = w**3 + 8*w**2 + 3*w - 7. Suppose 5*h = 2*h - 33. Let z = -18 - h. What is the remainder when 82 is divided by c(z)?
19
Let a(j) = -25*j**3 + 14*j**3 + 11*j**2 + 35 + 12*j**3. What is the remainder when a(-11) is divided by 1