ppose -s + m = s + 4*w, w + 14 = 2*s. What is the remainder when a is divided by s?
5
Let k(t) = t**2 - 9*t + 17. What is the remainder when k(10) is divided by 10?
7
Suppose -3*q + 5*q - 10 = 0. Calculate the remainder when 8 is divided by q.
3
Let p(l) = -l**2 + 7*l + 4. Let y(v) = 4*v - 4. What is the remainder when y(11) is divided by p(5)?
12
Let t(x) = -x + 23. Suppose 0 = n + 3*l - 17, -5*n - 4*l + 46 = -2*n. Let p = n - 6. What is the remainder when t(0) is divided by p?
7
Suppose 0 = k - a - 10 + 2, -2*k = 4*a + 2. Suppose -h = 4*h + k*d - 85, -3*d + 93 = 5*h. What is the remainder when 61 is divided by h?
19
Let k = 2000 + -1941. Let h be 12*1 - (-1 + 1). Let p = 3 + h. Calculate the remainder when k is divided by p.
14
Let a(o) = -3*o - 13. Let w be a(8). Let f = -19 - w. What is the remainder when 34 is divided by f?
16
Let u(p) = 2*p - 9. Let w be u(6). Suppose 2*l + w*l - 115 = 0. What is the remainder when l is divided by 13?
10
Suppose -4*u + 49 = t, 5*t = t + 4. What is the remainder when 70 is divided by u?
10
What is the remainder when 27 is divided by (-2)/6*0 + 8?
3
Suppose -6 = 5*y - 1. What is the remainder when 29*-1*(y - 0) is divided by 10?
9
Let h(t) = t**2 + 5*t - 8. Let b(q) = 2*q**2 + 9*q - 15. Let z(d) = 6*b(d) - 11*h(d). Calculate the remainder when z(-5) is divided by 10.
8
Let q = -14 + 34. Calculate the remainder when q is divided by 12.
8
Let f(y) = -31*y - 114. Suppose -12 = -q + 14. What is the remainder when q is divided by f(-4)?
6
Let a be (14/6)/(11/66). Suppose -2*i + a + 16 = 0. What is the remainder when 42 is divided by i?
12
Let k be (1/(-2))/(3/(-96)). Suppose -3*j - k + 73 = 0. Suppose -6*n = -n - 180. Calculate the remainder when n is divided by j.
17
Let p(r) = r + 5. What is the remainder when p(12) is divided by 9?
8
Let p(m) = 29*m - 24. Calculate the remainder when p(4) is divided by 19.
16
Let s(b) = b**3 + 5*b**2 - 7*b - 4. Let h be s(-6). Let v(o) = 1 - 3 - 19*o + h*o. Calculate the remainder when v(-2) is divided by 17.
15
Let q = -38 + 62. Let i = -6 - -12. Suppose -71 = -5*g - i. Calculate the remainder when q is divided by g.
11
Let q = -5 - -8. Suppose 24 = x - 2*j, q*x + 87 = 7*x - 5*j. Calculate the remainder when 53 is divided by x.
17
Let t = -153 + 103. Let h = -17 - t. What is the remainder when h is divided by 17?
16
Suppose 35 = t + 7. Calculate the remainder when t is divided by 8.
4
Let p(o) = -24*o - 3. Let l be p(-7). Suppose 0*u + l = 5*v + 5*u, 2*v - 5*u - 52 = 0. Calculate the remainder when v is divided by 7.
3
Suppose 2*t - 2*y - 7 = -1, 0 = -3*y + 12. What is the remainder when (50/8)/((-2)/(-8)) is divided by t?
4
Let i(l) = -l - 8. Let g be i(-5). Let k = -1 - g. Suppose k*x - 20 = -d + 13, x = -5*d + 12. Calculate the remainder when x is divided by 6.
5
Let p = 40 - 21. Suppose 5*v - 85 = -3*n, -p = -v - 0*v - n. Calculate the remainder when v is divided by 5.
4
Suppose 0 = -5*o + 8*o - 150. Calculate the remainder when (-662)/(-10) + (-10)/o is divided by 23.
20
Calculate the remainder when 2 - (-60)/(-27) - 620/(-36) is divided by 6.
5
Let u(j) = -9*j + 2. Let a = -1 - 2. What is the remainder when u(a) is divided by 16?
13
Suppose 4*l + 81 = 2*o - l, 5*l + 28 = o. What is the remainder when o is divided by 12?
5
Let f(c) = -c**3 + 10*c**2 + 5*c + 8. Let b be f(10). Suppose -b = -3*y + y. What is the remainder when y is divided by 8?
5
Suppose -3*r = -k + 6*k - 116, 0 = 4*r - k - 124. Calculate the remainder when r is divided by 7.
4
Suppose 4*m + 0*m = 56. Calculate the remainder when 25 is divided by m.
11
Suppose 10*m = 4*m + 30. Suppose 2*q + 5 = 3*q. Suppose s - 4*y - 23 = 0, -1 - 33 = -3*s + q*y. Calculate the remainder when m is divided by s.
2
Suppose 2*k + 2*k = 40. Calculate the remainder when 23 is divided by ((-2)/10 - -1)*k.
7
Let l = 207 + -170. What is the remainder when 146 is divided by l?
35
Suppose -35*s + 33*s = -34. What is the remainder when 46 is divided by s?
12
Suppose -3*o + 4*p + 3 = -5, 3*o = p + 11. Suppose o*k - 302 = 26. Calculate the remainder when k is divided by 21.
19
Suppose 2*v - 7 + 3 = 0. Let h(x) = 3*x**2 - 2*x + 1. What is the remainder when 17 is divided by h(v)?
8
Let u(o) = -6*o - 12. Calculate the remainder when u(-3) is divided by 4.
2
Let v = -204 + 274. Calculate the remainder when v is divided by 19.
13
Let u(v) = v**2 + v. Let o be u(0). Suppose o = -q + 2*q - 19. What is the remainder when q is divided by 7?
5
Suppose w - 132 = -2*w. Suppose -3*g = -4*q - 25, 3*g - 6*q + 4*q = 17. Suppose 46 = g*v + 1. What is the remainder when w is divided by v?
14
Let g be (-1 - -76)*(-20)/(-6). Suppose g = 6*a - a. Let s(t) = -t**3 - 2*t**2 + 3*t - 3. What is the remainder when a is divided by s(-4)?
16
Suppose -7*q - 15 = -8*q. Let c(l) = 2*l - 4. Let f be c(-3). Let b = q + f. What is the remainder when 13 is divided by b?
3
Suppose -35 = -5*f - 20. Suppose -3*a + 4*a + 3*n + 11 = 0, 4*n + 21 = 5*a. What is the remainder when f is divided by a?
0
Suppose -3*t = -72 - 0. Suppose -8 - t = -4*n. Suppose 0 = 2*w + 3*x - 13, 5*x + 5 = -3*w + 5*w. Calculate the remainder when n is divided by w.
3
Let j be (2 - 0)*17/2. Suppose -530 = -5*i - 5*f, -4*i + 477 = -5*f + j. Suppose 3*u + i = 5*u. What is the remainder when u is divided by 19?
17
Suppose -4*w = -1418 - 378. Let f = w + -307. Calculate the remainder when f is divided by 36.
34
Suppose -98 = -7*p - 0*p. Suppose -18 = 3*a - 93. Calculate the remainder when a is divided by p.
11
Suppose 0 = z - 13 - 20. Calculate the remainder when z is divided by 12.
9
Let s(t) = t**3 - t**2 - 3*t + 2. What is the remainder when s(4) is divided by 10?
8
Let u(q) = -q - 4. Let x be u(-6). Let c be 4 - ((2 - -2) + 0). Suppose c = 5*r - 20, -x*j - 2*r + 18 = -14. What is the remainder when j is divided by 7?
5
Let u(o) = -o + 3. Suppose -6 = -5*y + 14. Let s be u(y). Let m(v) = -4*v**3 + 2*v**2 + v. What is the remainder when m(s) is divided by 2?
1
Let l be (9/6)/(3/8). Let u(w) be the first derivative of 3*w**2/2 - 5*w - 1. Calculate the remainder when 19 is divided by u(l).
5
Let t = 113 - 25. What is the remainder when t is divided by 30?
28
Let x(b) = -8*b - 1. What is the remainder when x(-2) is divided by 10?
5
Let n(a) be the third derivative of a**4/6 - a**3/3 - 3*a**2. Calculate the remainder when n(7) is divided by 9.
8
Let t(u) = -4*u**2 + 8*u - 6. Let a(p) = 9*p**2 - 15*p + 12. Let m(w) = -2*a(w) - 5*t(w). Calculate the remainder when m(9) is divided by 27.
24
Let v = 0 + -1. Calculate the remainder when 35 is divided by 11 + (v - (-2 + 0)).
11
Let n be -1 - (-18)/((-3)/1). Let i = n - -8. Suppose u - 3 = -2. Calculate the remainder when i is divided by u.
0
Suppose -4*u = -b - 24, -u = -2*b - 16 - 4. Suppose -48 = -p + 5*g - 11, 0 = -2*p + 3*g + 53. Let c = b + p. Calculate the remainder when c is divided by 5.
4
Suppose 0*z = 3*z. Let y(b) = b**2 + 8*b + 6. Let h be y(-8). Suppose z = -h*q + 2*q + 24. Calculate the remainder when 11 is divided by q.
5
Suppose 0 = -25*l + 21*l + 96. Calculate the remainder when l is divided by 8.
0
Suppose 47 = 25*z - 24*z. Calculate the remainder when z is divided by (16*-1)/((-2)/2).
15
Suppose 4*w - 68 = 4*k, -2*k - 3*k = -w + 9. Suppose 0 = 3*i - w - 5. Calculate the remainder when 14 is divided by i.
6
Let v = -86 - -250. Suppose 3*l = -z + v, 9*l = 4*l - z + 270. What is the remainder when l is divided by 14?
11
Calculate the remainder when 13 is divided by ((-5)/2)/(2/(-4)).
3
Suppose 3*y - 57 = -5*u + 67, y = 4*u + 47. Let o(f) = -f**2 - 11*f - 3. Calculate the remainder when y is divided by o(-9).
13
Let t(j) = j**3 - 3*j**2 - 4*j + 3. What is the remainder when t(5) is divided by 5?
3
Suppose -3*v + 9 = -0*v. Suppose 6*n - 2*n + 38 = 2*h, -n - 22 = -h. Suppose -4*p + 52 = -t + 5*t, 5*p - h = 0. What is the remainder when t is divided by v?
2
Let f(t) = -3*t**3 - t**2 + t - 3. Calculate the remainder when f(-3) is divided by 34.
32
Let b(d) = -d**3 + d**2 - d + 4. Let m be b(0). Let c = -2 + m. What is the remainder when 4 is divided by c?
0
Let v(a) = -7*a - 14. What is the remainder when v(-7) is divided by 19?
16
Suppose 16*l + 110 = 21*l. Calculate the remainder when l is divided by 1*-26*(-1)/2.
9
Suppose -c + 2 + 3 = 5*a,