is divided by b.
3
Let m = 50 + -52. Calculate the remainder when m - (-307)/5 - 60/(-100) is divided by 31.
29
Let y(i) = i**3 + 23*i**2 + 40*i - 24. What is the remainder when 65 is divided by y(-21)?
11
Let j(r) = -r**2 + 9*r - 2. Let w(m) = m**3 + 7*m**2 - m - 1. Let s be w(-7). What is the remainder when j(s) is divided by 10?
6
Let h = 114 + -56. Suppose -32 = -4*n - 4*o, -3*o = -4*n + 3 + 57. Calculate the remainder when h is divided by n.
10
Let t(p) = 6*p**2 - 14*p - 13. What is the remainder when t(-6) is divided by 73?
68
Suppose -6*a + 2 = -5*a. Suppose 12 = -3*s, -a*p - 3*s - 37 = -7*p. Suppose 45 + 15 = p*q. What is the remainder when q is divided by 7?
5
Let w(h) = -33*h + 1. Let n(u) = 32*u - 2. Let r(b) = -3*n(b) - 4*w(b). Calculate the remainder when r(1) is divided by 10.
8
Suppose -2*y = 2*i + 89 - 363, 0 = y - 4*i - 162. Calculate the remainder when y is divided by 41.
19
Suppose z = 2*z + 2. Let m be 2/1*-1*z. Suppose m*r + 0*r = 20. Calculate the remainder when r is divided by 4.
1
Let s = 186 + -153. Calculate the remainder when 115 is divided by s.
16
Suppose 0 = -4*d + 25 + 355. Let n = 133 - d. Suppose 25 = 2*a - 1. Calculate the remainder when n is divided by a.
12
Suppose 2*o - 3*o = -2*q - 3, 5*o + 5*q - 90 = 0. Suppose 34*y - 35*y = -o. Calculate the remainder when 51 is divided by y.
12
Suppose i + 0*k = -2*k + 32, -5*i + 3*k + 108 = 0. Let p(r) = -r**2 + 16*r - 10. What is the remainder when p(11) is divided by i?
21
Let g = 3461 + -3453. Suppose -21 - 1 = -r. What is the remainder when r is divided by g?
6
Let k = 500 + -438. Calculate the remainder when k is divided by 16.
14
Let b(r) be the second derivative of r**4/12 + r**3/3 - 3*r**2 - 16*r. Let x = 90 + -55. What is the remainder when x is divided by b(-6)?
17
Suppose -4*j + 52 = 8. Suppose -16 = -0*h - 4*h. Suppose -2*z = -q + 11, 2*q - h*z - 1 = q. Calculate the remainder when q is divided by j.
10
Let b(j) = -30*j - 830. Calculate the remainder when b(-30) is divided by 7.
0
Let q(f) = 8*f**3 - 3*f + 1. What is the remainder when q(3) is divided by 42?
40
Let d = 7 - 98. Let l = -53 - d. Calculate the remainder when l is divided by 4*(52/16 - 0).
12
Suppose -48 = -2*c - 12. Suppose 4*w = w + 9. Suppose 0 = -w*z - 6 + 105. Calculate the remainder when z is divided by c.
15
Let b(x) = x**3 - 13*x**2 + 45*x - 13. Calculate the remainder when 48 is divided by b(6).
3
Let x = -24 + 28. Suppose -x*c - m = -82, -2 = -4*m + 6. Calculate the remainder when 37 is divided by c.
17
Let m = 139 - 120. Calculate the remainder when 170 is divided by m.
18
Let f = -3 + 5. Let b(g) = -g**3 - 9*g**2 - 7*g + 11. Let z be ((-80)/(-15))/(-2)*3. What is the remainder when b(z) is divided by f?
1
Suppose 444 = 3*j + 141. Suppose -3*c - b = -42, 5 - 3 = -c + 5*b. Calculate the remainder when j is divided by c.
10
Let v(a) = a**3 - 5*a**2 + 5*a - 6. Let c be v(4). Let h(y) = 9*y**2 - 2*y - 3. Calculate the remainder when h(c) is divided by 5.
2
Suppose 1 + 77 = 3*u. Let y = u - 17. Suppose 130*j - 133*j + 9 = 0. What is the remainder when y is divided by j?
0
Let y(u) = u - 6. Let f be y(5). Let l = -1691 + 1695. What is the remainder when l is divided by (1/f*2)/(-1)?
0
Suppose -12 - 8 = 5*t. Let q be (-3879)/(-99) + t/22. Let f = q + -21. Calculate the remainder when f is divided by 5.
3
Suppose 56*a = 53*a - 84. Let y = a + 94. What is the remainder when y is divided by 19?
9
Suppose -3*g + 4*r = 2*g - 43, 2*g - 4*r = 10. Suppose 0 = g*z - 391 + 127. Calculate the remainder when 63 is divided by z.
15
Let o(z) = z**3 + 2*z**2 - 4*z + 1. Let n be o(3). Let m = n - -19. Calculate the remainder when m is divided by -54*(-2)/(-8)*-2.
26
Let h(w) = -9*w + 19*w - 22 - 6*w. Calculate the remainder when 39 is divided by h(10).
3
Let q = 19 + 4. Let m(o) = 9*o**2 - 4*o - 71. Calculate the remainder when m(-4) is divided by q.
20
Suppose 0 = 4*t + 2*o - 530, -5*o - 646 = -5*t - 2*o. Let m = t - -68. What is the remainder when m is divided by 50?
49
Suppose -g + 2*g - 5*o = 2, -2*o = 0. What is the remainder when g/(-17) + 15169/187 is divided by 21?
18
Suppose -23 = -5*x + 82. Let f = -4 + x. Suppose 31*z = -33*z + 704. Calculate the remainder when f is divided by z.
6
Let r be (6/(-12))/((-1)/6). Suppose -r*s = -2 - 4. Let h(a) = 25*a. Calculate the remainder when h(s) is divided by 26.
24
Let a(o) = o**3 - 5*o**2 + 10. Let g be a(4). Calculate the remainder when (0 - g/(-2))*21/(-9) is divided by 2.
1
Suppose -8*c + 10*c = -42. Let u = 34 + c. What is the remainder when u is divided by 7?
6
Let o = -12 + 14. Suppose u = -o*f - 0*f + 43, 3*f - u = 72. Let b = f + -14. What is the remainder when b is divided by 4?
1
Suppose -16 = 5*d - 13*d. Suppose 0 = -c + 5, d*c = 3*i - 0*i - 56. What is the remainder when 87 is divided by i?
21
Let j be 2/(-4)*(-1 - -1). Suppose -8*d + 2*d + 252 = j. Let w = -2 + 13. Calculate the remainder when d is divided by w.
9
Let m(c) = -7 + 2 - 14 + 5*c. Let q(w) = 15*w - 57. Let k(g) = -11*m(g) + 4*q(g). What is the remainder when k(6) is divided by 4?
3
Let h(m) be the third derivative of m**6/120 + m**5/12 + m**4/4 + 5*m**3/6 - 3*m**2. Calculate the remainder when 192/6 - (-4)/(-1) is divided by h(-3).
3
Let k(z) = 69*z**2 - 2. Let f be k(2). Suppose 0 = -2*s + 2, 0 = 2*x - 3*s + 39 - f. What is the remainder when x is divided by 30?
29
Let n be (-29)/(-9) - (-2)/(-9). What is the remainder when 11 is divided by 3*(13/n - 2)?
4
Suppose 3*x + x = -2*k + 28, 4*x + 3*k - 32 = 0. Suppose -3*b + 98 = 5*i + 2, 14 = 2*b - 5*i. Calculate the remainder when b is divided by x.
2
Let h(z) = 26*z**2 + 3*z + 2. Let t = -5667 + 5719. What is the remainder when h(-2) is divided by t?
48
Calculate the remainder when 2/(480/238 - (-1 + 3)) is divided by 61.
58
Suppose 241 = 4*a - 3*v, -v + 53 + 2 = a. Let d = a + -20. What is the remainder when 112 is divided by d?
36
Let f(a) = a**3 - 3*a**2 + 9*a - 14. Let o be f(6). Suppose 5*g - 4*r - o = g, 66 = 2*g + 2*r. Calculate the remainder when g is divided by 18.
17
Suppose -2*c + 2 = -5*j - 21, 3*j + 5 = -c. Let l(w) = 2*w**2 - 3*w - 5. What is the remainder when l(8) is divided by (-274)/(-8) - c/16?
31
Let q(d) = 3*d**2 - 25*d - 7. Let p be q(8). Suppose 5*m - 4*m = 27. Let b = m + p. What is the remainder when 34 is divided by b?
10
Suppose 3*q + 3*y = 141, 6*q - 5*q - 49 = y. Calculate the remainder when 133 is divided by q.
37
Suppose -16*s + 146 = 50. Let z(o) = o**2 + 4*o + 13. Calculate the remainder when z(s) is divided by 19.
16
Suppose -2*o - o + 3 = 0. Let c = -19 + 23. Suppose -3*v = -f + c, -3*v + 1 = -3*f - 7*v. What is the remainder when o is divided by f?
0
Suppose -a - j + 4 = -2, 5*j = -3*a + 24. Suppose -2*c = a*c - 285. What is the remainder when c is divided by 12?
9
Suppose 4*i + 4*b - 208 = -b, -5*b - 20 = 0. Let m = 15 - 37. Let k = -7 - m. Calculate the remainder when i is divided by k.
12
Suppose -v + 30 = v - 2*d, 4*v - 5*d - 60 = 0. Suppose 2232 = 25*w + 7. What is the remainder when w is divided by v?
14
What is the remainder when 308 is divided by (153/17)/(18/42)?
14
Suppose 0 = 4*o - 6 - 6. Suppose -2 = -i - 3*f, -5*i + 6*f - 8 = o*f. Let c(v) = -3*v**3. Calculate the remainder when 12 is divided by c(i).
0
Let b(u) be the third derivative of -u**5/60 + 3*u**4/8 - 2*u**3/3 - 3*u**2 - 2*u. Calculate the remainder when 27 is divided by b(7).
7
What is the remainder when ((-1806)/63)/((-1)/15) is divided by 36?
34
Suppose 19*m + 2*m = 252. Calculate the remainder when 92 is divided by m.
8
Let t(d) = 5*d**2 + 20*d + 12. What is the remainder when 35 is divided by t(-4)?
11
Let m(i) = -i**3 - 4*i**2 - 7. Let q be m(-5). Let t = 26 - q. Calculate the remainder when 13 is divided by t.
5
Let b = 0 - -6. Let a(h) = -h**2 + 6*h - 5 - 2*h + b. What is the remainder when 6 is divided by a(3)?
2
Suppose f = -2*t + 108, -4*t = -f - 151 - 65. Suppose -4*c - 29 + 565 = 2*y, 5*c = -3*y + 804. What is the remainder when y is divided by t?
52
Let o(i) be the second derivative of 7*i**3/6 - 2*i**2 - 2*i. Let x be o(2). Suppose -4*g - x + 62 = 0. Calculate the remainder when 23 is divided by g.
10
Let w(s) = -4 - s + 54 - 13. What is the remainder when w(11) is divided by 9?
8
Suppose 0 = -448*o + 446*