433, d = -3*x + 123. What is the remainder when d is divided by 7?
4
Suppose 0 = -5*h + 3*o + 201, 4*h - 75 = -2*o + 99. Suppose -3*i = y - 859 + 377, -2*i + 2*y = -348. What is the remainder when i is divided by h?
38
Let i(p) = -15*p**2 - 600*p - 27. What is the remainder when i(-36) is divided by 31?
25
Suppose -m + 594 = 2*n, -m - 594 = 10*n - 12*n. What is the remainder when n is divided by 110?
77
Suppose 0*s - 4*f = 4*s - 8, -5*s - 3*f + 12 = 0. Suppose -s*z + 16 + 29 = 0. Let l = 18 - -40. Calculate the remainder when l is divided by z.
13
Suppose -25 = -10*u - 5. Let s(w) = 20*w. Calculate the remainder when 157 is divided by s(u).
37
Let o be 3/(-1) + (-462)/(-7). What is the remainder when (-40)/(-7) - (-18)/o - -4 is divided by (-2)/(-4)*(1 + 17)?
1
Suppose -c + 2*c = 32. Let x = -1496 - -1535. What is the remainder when x is divided by c?
7
Let l be (-176)/(-12) + (-6)/(-18). Suppose 3*t = l, -2*r + 5*t + 13 = -r. What is the remainder when r is divided by 22?
16
Let w(l) = -l + 3. Let z be w(6). Let s be z - (-2 - (3 - -54)). Suppose 5*g = -2*p - p + s, -p + 2*g + 4 = 0. What is the remainder when 93 is divided by p?
9
Let a = -10416 + 10504. Calculate the remainder when 356 is divided by a.
4
Let p be 6 + 5/((-15)/12). Suppose 5*k = 3*v - 58, 0*k = -2*v - 2*k + 28. What is the remainder when (-3 + 244/4)/p is divided by v?
13
Let t = -343 - -454. Calculate the remainder when t is divided by 41/82 + 1/(-2)*-37.
16
Suppose -89*v - 1410 + 6601 = -14656. What is the remainder when v is divided by 82?
59
Let k(i) = i**3 - 22*i**2 + i + 15. Let d be (0 - 2)*(-32 + 21). Let u be k(d). Suppose h = u - 0. What is the remainder when h is divided by 19?
18
Suppose -3*s + 115 = y, 10*y - 4*s = -2*y + 1580. Let x = 22 - 19. Calculate the remainder when y is divided by x.
1
Let h(v) = -v**3 + 39*v**2 - 14*v - 56. What is the remainder when 2574 is divided by h(38)?
6
Let u(j) = -j**3 + 10*j**2 - 5*j + 3. Let m be u(5). Let t = 368908 - 368872. Calculate the remainder when 2 - m/(-1 + 0) is divided by t.
33
Calculate the remainder when 90 is divided by 15/2 - 1515/606.
0
Let u = 7 - 2. Suppose 5*i - k = -3*k + 184, -5*i - u*k + 175 = 0. Suppose -303*v - 300 = -679*v + 346*v. What is the remainder when i is divided by v?
8
Let b(z) = -z**3 - 4*z**2 + 14*z + 26. Let u be b(-4). Calculate the remainder when 76 is divided by (390/u)/(1/(-2)).
24
Let m(j) be the second derivative of j**4/6 + j**3/6 - j**2 - 2*j. Suppose 4437*z - 4349*z - 528 = 0. Calculate the remainder when m(-3) is divided by z.
1
Let t(h) be the second derivative of h**5/20 - h**4/6 - 2*h**3/3 + 21*h**2/2 + 45*h. Calculate the remainder when 36 is divided by t(0).
15
Let d = -20573 - -20605. Calculate the remainder when 173 is divided by d.
13
Suppose 5 = 3*y + 5*x - 10*x, -5*y = -3*x - 19. Suppose 0 = 3*s - 4*w - 30 + y, -s - 9 = 3*w. Calculate the remainder when 27 is divided by 1 - (2/(-3)*s + 0).
0
Let i = -16138 + 16307. What is the remainder when 1532 is divided by i?
11
Let s(g) = -g**3 - 5*g**2 - 4*g. Let f be s(-3). Let j = f + 13. Let y(l) = -l**3 + 49*l + 7. What is the remainder when j is divided by y(-7)?
0
Let x(v) = 73*v - 20. Suppose -3*l = 7*l - 30. What is the remainder when x(l) is divided by 17?
12
Let r(i) = 2*i**2 - 7*i + 7. Let t be r(4). Let f(l) = -l**2 - 21*l + 24. Let p be f(-22). Suppose p*x = x + t. Calculate the remainder when 65 is divided by x.
10
Let j = 26 - 24. Let m(a) = 11*a + 2. What is the remainder when (24/10)/((-14)/(-525)) is divided by m(j)?
18
Let m(j) = -3*j + 103. Let t be m(30). Suppose -t*b - 2*a + 30 = -11*b, 0 = -b + 4*a. What is the remainder when b is divided by 12?
0
Let h(u) = -8*u**3 + 3*u**2 + 3380. Calculate the remainder when h(0) is divided by 188.
184
Suppose j - 198 - 711 = 0. Calculate the remainder when j is divided by 79.
40
Suppose -l - 3*p - 30 = -0*l, l = -p - 24. What is the remainder when 227 is divided by 59/(-2)*7*6/l?
50
What is the remainder when 1210 is divided by 2028/26 + 7 + -14?
3
What is the remainder when 72 is divided by 9/1*1 - (-10 - -13)?
0
Let p = 320 - 315. Let k(i) = 7*i. Suppose -3*u + 8 = -13. Calculate the remainder when k(u) is divided by p.
4
Let z = 324 - 314. What is the remainder when 91 is divided by z?
1
Suppose 364 + 1376 = 12*u - 0*u. Let b(t) = t**2 - 3. Calculate the remainder when u is divided by b(5).
13
Suppose 1245 = f - 209*z + 210*z, -2*z = -f + 1221. Calculate the remainder when 3720 is divided by f.
9
What is the remainder when 143 is divided by ((-40)/(-80))/(3/312)?
39
Let i(x) = 4*x - 41. Let f be i(11). Suppose -4*t - 168 = -n, 18*n - 767 = 14*n - f*t. Calculate the remainder when n is divided by 38.
36
Suppose -151*a + 187*a - 2324 = 3868. Calculate the remainder when 561 is divided by a.
45
What is the remainder when 0 + 8 - (152 - 140) - (-1 - 496) is divided by 173?
147
Let d(c) = 15*c**2 - 174*c - 25. Calculate the remainder when 445 is divided by d(12).
22
Suppose 78*x - 81*x = 4*u - 94, 2*x - 81 = u. Let l(q) = 11*q**2 + 5*q - 4. Calculate the remainder when l(3) is divided by x.
34
Let f be -31*(-1 + 0/2). Suppose f - 9 = 2*j. Suppose 32 = 2*k + 2*g, -387*k + 389*k - 4*g = -40. What is the remainder when j is divided by k?
3
Let i(q) = q**3 + 46*q**2 - q - 48. Let m be i(-46). Calculate the remainder when 74 is divided by 9 + m - (4 + -5 - 3).
8
Suppose 41 = -6*b + 7*b. Suppose -207 = -2*m - 5*v, m - 4*v + 43 = 114. What is the remainder when m is divided by b?
9
Let m(a) = -9*a + 50. Let h be m(3). Suppose -b + h = -t, -4*b - 10*t = -9*t - 82. What is the remainder when 125 is divided by b?
20
Let y(h) = -11*h**2 + 2*h + 16. Let s be y(-4). Let k = s - -240. Calculate the remainder when 210 is divided by k.
66
Let n = 2744 - 1499. What is the remainder when n is divided by 24?
21
Let x(c) = -14 - 12*c - 10*c - 11*c + 37*c. Let d(i) = 3*i - 13. Let s(m) = -3*d(m) + 2*x(m). Calculate the remainder when s(-6) is divided by 9.
8
Suppose 0 = 2*n + 2*n - 76. Let r be -43*((-270)/35 + 2/(-7)). Let c = 347 - r. What is the remainder when n is divided by c?
1
Let d(n) = 5*n**2 + 302*n - 1276. What is the remainder when 799 is divided by d(4)?
7
Let r be 13 - (4 + -3 + 0). Suppose -14*v = -40 + r. Suppose -4*l + v*t = -80, -2*l - 4*t + 52 = -2*t. What is the remainder when 42 is divided by l?
20
Suppose -5*b - i + 3033 = 0, 0 = 3*b + i - 1285 - 536. What is the remainder when b is divided by 28?
18
Let f be (-403)/(-3) - (5 + (-34)/6). Suppose -705 = -30*x - f. Calculate the remainder when x is divided by 9.
1
Let k = 6 - 6. Calculate the remainder when 24 is divided by -13*(2 + -3 + k).
11
Let f(t) = -2*t + 6. Let u be f(7). Let p be (u/(-20))/(5/(-50)). Calculate the remainder when 3 is divided by (p + 100/24)*6.
0
Let s be ((-1)/2)/(10/(-160)). What is the remainder when 39 + 3 + -1 + 0 is divided by (-3 + 4 + 0)*-1 + s?
6
Let y(i) = 10*i**2 - 2*i - 7. Let n = 177 - 154. Calculate the remainder when y(3) is divided by n.
8
Let g be (-86)/(-8) - ((-34)/8 + 4). Let q(n) = -n**3 + 11*n**2 + 4*n - 24. Let c be q(g). Let y = 74 - c. What is the remainder when y is divided by 22?
10
Suppose 0 = 4*v + 3*g - 11874, -4*v + 14166 = 5*g + 2288. Calculate the remainder when v is divided by 53.
52
Suppose 4*i + 18*z - 15*z = 5718, -5*i + 7101 = -4*z. Calculate the remainder when i is divided by 62.
61
Let s = -6 + 9. Let m(n) = -n**2 + 17*n - 54. Suppose 189*q - 182*q = 49. Calculate the remainder when m(q) is divided by s.
1
Let k = -36138 + 36143. Let i(b) = -1. Let v(p) = 5*p - 10. Let m(o) = 22*i(o) - 2*v(o). Calculate the remainder when m(-2) is divided by k.
3
Let y = -1837 - -2184. What is the remainder when y is divided by 60?
47
Suppose -169*u + 7520 = -153*u. Calculate the remainder when u is divided by 19.
14
Let z = 3094 + -2972. Calculate the remainder when z is divided by 41.
40
Suppose 1822 = 5*g - c, -29*g + 1814 = -24*g + 3*c. Calculate the remainder when 803 is divided by g.
75
Let w = 131 + -390. Let u = -229 - w. Calculate the remainder when 149 is divided by u.
29
Suppose l - 4*b - 4286 = 0, 5*l + b - 21315 = -2*b. Suppose 21*n + 738 = l. Calculate the remainder when n is divided by 43.
39
Suppose 54*u = 14*u - 0*u. Suppose -5*y + 2*w + 8 + 14 = 0, u =