 -533 + 553. What is the remainder when 135 is divided by b?
15
Let t(g) = g**2 - g - 3. Suppose -3*l + 3*h = -5 - 22, h - 57 = -5*l. Suppose k + l = 16. What is the remainder when t(4) is divided by k?
4
Let j(t) = -t**3 + 46*t**2 - 10*t + 466. Let n = -20 - -59. Calculate the remainder when n is divided by j(46).
3
Suppose 13 = -4*i - 179. Let k = i + 56. Calculate the remainder when 27 is divided by k.
3
Suppose -1384 = -h + 3*d + 489, h + 2*d = 1868. What is the remainder when h is divided by 48?
46
Let p(z) = z**3 + 16*z**2 - 4*z - 53. What is the remainder when p(-16) is divided by 8?
3
Let w(j) = 10*j + 9. Suppose 2*h + 3 - 39 = -4*p, -4*h - 3*p + 52 = 0. Calculate the remainder when w(6) is divided by h.
9
Let s be (-1)/2 - (-1)/(-2). Let z(v) = 2*v. Let w(m) = 29*m**2 + 10*m + 1. Let a(h) = w(h) - 5*z(h). Calculate the remainder when 89 is divided by a(s).
29
Let z(g) = 23*g**2 - 11*g - 17. Calculate the remainder when z(-2) is divided by 14.
13
Suppose 0 = c + 2 - 87. Let a = c - 17. What is the remainder when a is divided by 18?
14
Suppose -3*r = 2*f - 6 + 1, -f = -5*r + 17. What is the remainder when 60 is divided by r?
0
Let c(t) = -2*t**2 + 4*t + 3. Let l be c(4). Suppose -16*o - 12 = -14*o. Let f = o - l. Calculate the remainder when 18 is divided by f.
4
Suppose -4*q + 5*k - 240 = -6*q, -3*q + 3*k + 381 = 0. Calculate the remainder when q is divided by 26.
21
Suppose 3363 = 11*v + 613. What is the remainder when v is divided by 53?
38
Let z = 130 - 21. What is the remainder when z is divided by 7?
4
Let n(s) = 6*s**3 - 18*s**2 - 4*s + 19. Let w(z) = 9*z. Calculate the remainder when w(2) is divided by n(3).
4
Suppose -216 = -31*c + 373. Suppose 3*o + 14 = 2*t, -3*t + 30 - 9 = -2*o. Calculate the remainder when c is divided by t.
5
Suppose 0 = 5*p + 14 - 4. What is the remainder when 32 is divided by (p/(-3))/(4/66)?
10
Let w(q) = q**3 + 5*q**2 + q + 3. Let o = 1 - 5. Let g(p) = 8*p**3 - p**2 - 2*p + 2. What is the remainder when g(2) is divided by w(o)?
13
Let j = -83 + 95. What is the remainder when 103 is divided by j?
7
Let f = 230 - 208. Calculate the remainder when 58 is divided by f.
14
Suppose -2*d - 6*d = 0. Suppose -v - 3 = d, -x - 4*v = x. Calculate the remainder when x is divided by 3.
0
Let a(g) = g**3 - 8*g**2 + 2*g - 2. Let f(k) = 4*k**3 + k**2 - 1. What is the remainder when a(8) is divided by f(1)?
2
Let f = -91 - -94. Suppose -2*s = f*s - 30. Calculate the remainder when 32 is divided by s.
2
Let a = -49 - -54. Let u = 44 + -26. Calculate the remainder when u is divided by a.
3
Let i = 57 - 114. Let r = i + 60. What is the remainder when 14 is divided by r?
2
Let u be (-12)/((2/(-12))/1). Let x = 115 - u. Let s(m) = 2*m + 3. Calculate the remainder when x is divided by s(4).
10
Suppose 0 = 27*f + 361 - 2440. Calculate the remainder when f is divided by 9.
5
Let p = 55 - 27. Let m = 61 - p. What is the remainder when m is divided by 7?
5
Let f = -8959 - -12882. What is the remainder when f is divided by 18?
17
Suppose -2*y - 10 + 4 = 0. Let i(m) = -m**3 - m**2 - m - 4. What is the remainder when 48 is divided by i(y)?
14
Let p = 59 - 59. Suppose 3*v - 169 - 167 = p. Calculate the remainder when v is divided by 23.
20
Let y = 138 - -177. Calculate the remainder when y is divided by 16.
11
Let z be 500/14 + 34/119. Suppose -z = 2*u - 6*u. Calculate the remainder when 24 is divided by u.
6
Let y(q) = -q. Let k be y(1). Let r be k + -1 + (-4)/(-1). What is the remainder when 24 is divided by ((-2)/(-4))/(r/52)?
11
Let h be (0 - 0) + (33 - 15). Let w = 34 - h. What is the remainder when 44 is divided by w?
12
Suppose 0 = -7*g + 11*g - 96. Suppose g + 78 = 3*n. What is the remainder when n is divided by 13?
8
Calculate the remainder when 3/(-4)*7/((-56)/3264) is divided by 77.
75
Suppose 0 = h + 3*u + 108, -3*u - 2*u = 10. Calculate the remainder when 68 is divided by (-1)/1 + h/(-17).
3
Suppose 4*a - 6 = 6. Suppose -a*h - 84 + 126 = 0. What is the remainder when 22 is divided by h?
8
Let v = 28 + -22. Let r be (11/22)/(2/80). Suppose -q = -2*k - 5 - r, -5*q + 3*k + 111 = 0. What is the remainder when q is divided by v?
3
Suppose -623 - 142 = -17*q. Calculate the remainder when q is divided by 26.
19
Let v = -16 - -20. Suppose -c - c - f = -28, v*f + 32 = 4*c. Let u = 37 + -6. Calculate the remainder when u is divided by c.
7
Suppose -9*m + 77 = -4. Let w = -10 - -16. Suppose 3*g - w = g. Calculate the remainder when m is divided by g.
0
Let u(k) = k - 4. Let t be u(6). Suppose 0 = 3*o - t*m - 34, 0 = -o + 4*m - m + 16. Calculate the remainder when 36 is divided by o.
6
Suppose -5*n + 301 + 423 = -4*z, -4*n = 3*z - 573. Suppose -3*c + 144 = -3*f, -3*c + 4*f + n = -0*f. What is the remainder when c is divided by 17?
14
Let n(k) = k**2 - 13*k - 29. Let w(x) = -2*x**2 + 27*x + 59. Let l(r) = 13*n(r) + 6*w(r). Calculate the remainder when l(12) is divided by 8.
5
Suppose -2*f = 3*r - 67, -6*r + 4*f = -7*r + 39. What is the remainder when 60 is divided by r?
3
Let b(j) = -j**2 + 8*j - 3. Let s be b(6). Let y(p) = -p**3 + 8*p**2 + 11*p + 16. Calculate the remainder when y(s) is divided by 18.
16
Let y(x) = x**2 - 19*x - 4. What is the remainder when 33 is divided by y(20)?
1
Suppose 38 = 5*j + 2*t - 93, -6 = -2*t. What is the remainder when 85 is divided by j?
10
Suppose -24*f = -32*f + 16. Suppose -f*h + 7 + 1 = 0. Let n(z) = -z**3 - 2*z**2 - 4. What is the remainder when n(-3) is divided by h?
1
Suppose -5*g + 2*g + 68 = 2*b, -3*g + 4*b + 80 = 0. What is the remainder when g is divided by 24?
0
Let q(m) be the second derivative of m**5/10 - m**4/6 + m**3/3 + 14*m. Let o be q(2). What is the remainder when 11 is divided by (o/(-14))/((-14)/98)?
5
Let f = 889 + -853. What is the remainder when 122 is divided by f?
14
Suppose 12 = -4*p + 5*p. Let r be 30/p + (-2)/(-4). Suppose r*w + 2*s - 69 = 4*s, 5*s = 0. Calculate the remainder when 44 is divided by w.
21
Suppose 25 + 1 = 4*f - 3*c, 0 = 2*f + 4*c - 24. Suppose f*l - 2*l = 516. Calculate the remainder when l is divided by 24 - 0 - 2/1.
20
Suppose -3*y + s = -44, -4*s - 25 = s. What is the remainder when 27 is divided by y?
1
Let x(s) be the second derivative of s**5/20 + 3*s**4/4 + s**3/2 - 5*s**2/2 + 58*s. Calculate the remainder when x(-8) is divided by 13.
9
Suppose -n + 9 = -13. Suppose 0*i + 2*i = n. Calculate the remainder when 30 is divided by i.
8
Let z be 15/2*(-24)/(-30). Suppose w + d - 4 = 0, -2*d = -2*w - z*d - 2. Calculate the remainder when w is divided by 3.
0
Let x = -820 + 1217. Calculate the remainder when x is divided by 50.
47
Let z(o) = o**3 + 10*o**2 - 12*o + 2. Suppose -3*w = 2 - 191. What is the remainder when w is divided by z(-11)?
11
Let q = 46 + -39. Suppose i - 2*b = -0*i + q, 0 = -3*i + 5*b + 20. Calculate the remainder when 10 is divided by i.
0
Suppose 0 = 2*u - 3 + 5. Let g = u - -6. Suppose 5*x + 2*h = 43, x + 0*x + 4*h = g. Calculate the remainder when 17 is divided by x.
8
Suppose -3*k + 5*k - 8 = 0. Suppose 4*n + 3*q - 56 = 0, q = k - 8. Calculate the remainder when 65 is divided by n.
14
Let u(w) = 2*w + 5. Let n be u(-5). Let k(s) = 5*s + s**2 + s**2 + s + 0*s**2 - 4. Calculate the remainder when k(n) is divided by 6.
4
Suppose -2*k - 6 = k. Suppose 0 = -3*y + j + 6, 4*y - 2*j - 7 - 3 = 0. Calculate the remainder when (-1 - 0)*0 - k is divided by y.
0
Let b(h) = 9*h**3 + 5*h - 4. Let u be b(3). Suppose 2*k = -3*w + u, -102 = -w - 2*k - 3*k. What is the remainder when w is divided by 21?
19
Let o(l) = l**3 - 6*l**2 - 9*l + 7. Let g be (-2)/(-1) + 3 - -2. Let x be o(g). Let a = x - -26. What is the remainder when 36 is divided by a?
17
Suppose 3*r = -0*p - 5*p + 31, 77 = 5*r + 2*p. Let c = 3873 - 3789. Calculate the remainder when c is divided by r.
16
Let q = -12 + -1. Let y(j) = 2*j**2 + 21*j - 17. What is the remainder when y(q) is divided by 25?
23
Suppose -394*b = -385*b - 504. What is the remainder when b is divided by 17?
5
Suppose w = -40*w + 3772. What is the remainder when w is divided by 75?
17
Suppose -3*j + 32 = 80. Let u be ((-91)/(-52))/((-2)/j). Let w = 24 + u. Calculate the remainder when w is divided by 13.
12
Let g(o) = o**3 - 3*o**2 - o + 6. Let a be g(3). Let h = 6 - a. Suppose -4*q - 19 - h = -3*l, -5*q = -4*