, -4*k - 434 = -5*q. What is the remainder when q is divided by 23?
21
Suppose -70 = -2*w + 5*c - 27, 4*c - 53 = -3*w. Suppose 0 = 2*t - 4*t + 20. Calculate the remainder when w is divided by t.
9
Suppose s + 1 = 3. Suppose -f - s*f = -27. Suppose -4*p + f = -11, 0 = -3*r + 2*p + 17. What is the remainder when 25 is divided by r?
7
Suppose a + 2 = 0, 3*f + 2*a = -f - 28. Let j(t) = -t**2 - 12*t - 15. What is the remainder when 83 is divided by j(f)?
20
Let p = -631 - -143. What is the remainder when 21 is divided by (-1)/5 + p/(-40)?
9
Let j(f) = f**2 + 2*f - 4. Let m be j(-4). Calculate the remainder when 15 is divided by 20/m - (1 - 2).
3
Suppose -3*q = -7*q + o + 35, 0 = 2*q + o - 13. Let l(y) = y**3 - 6*y**2 + 3. What is the remainder when q is divided by l(6)?
2
Let z = 3 + 11. Calculate the remainder when z is divided by 5.
4
Suppose i - 28 = -0*i + 5*p, 2*i = 5*p + 31. Suppose 6 = r - y, -6*r - 4*y + 39 = -i*r. What is the remainder when 17 is divided by r?
8
Let f = -76 + 166. Suppose f = i + 4*i. What is the remainder when 34 is divided by i?
16
Let c(j) = j + 15. Let x(i) = -i**2 - 12*i - 17. Let z be x(-8). What is the remainder when c(z) is divided by 11?
8
Suppose 3*h = 2*f + 240, 4*h - h = -2*f + 252. Suppose -1036 = -3*p - 34*p. What is the remainder when h is divided by p?
26
Let s = -3 + 5. Suppose 5*k - 117 = -s. Let b(l) = -5*l**3 + 2*l**2 + 3*l + 2. What is the remainder when b(-2) is divided by k?
21
Let o = -6 - -6. Suppose 4*d = -o*d. Let s(v) = v**2 + 61. Calculate the remainder when s(d) is divided by 16.
13
Suppose -5 = -6*a + a - o, -4*a + 4*o + 4 = 0. Calculate the remainder when 36 - (2 - a) - 2 is divided by 9.
6
Let f(g) = 3*g**2 + 2*g - 1. Let x be f(-2). Suppose -3*l - 5*p - 19 = 0, -p + 0*p = -l + x. Calculate the remainder when l/(-6) + (-34)/(-3) is divided by 6.
5
Suppose 5*p = c - 38, 2*p - 46 = 8*c - 11*c. Suppose -345 = -u - 4*u. Calculate the remainder when u is divided by c.
15
Calculate the remainder when -148*4/(-8) - 4 is divided by 27.
16
Let y(x) = -x**2 - x + 4. Let s be y(-3). Let d = s - -8. Suppose -76 = -5*l - 5*f - d, 0 = 3*l - 5*f - 42. What is the remainder when 40 is divided by l?
12
Let p be (-6)/2 - (0 - 0). Let c(b) be the second derivative of b**4/4 + b**3/2 - b**2 - 3*b. Calculate the remainder when c(p) is divided by 9.
7
Let s(z) = -z**3 - 6*z**2 - 2*z - 10. Let m be s(-7). Let n = 75 - m. What is the remainder when 64 is divided by n?
20
Suppose 4*h = -152 + 396. Suppose y - 13 = 3. What is the remainder when h is divided by y?
13
Let s = -2 - -39. Suppose -5*d + s = -23. Calculate the remainder when 47 is divided by d.
11
Let m(s) = s**3 - 7*s**2 + s + 1. Let n = 7 - 5. Suppose n*v + v = 21. What is the remainder when 15 is divided by m(v)?
7
Suppose -u + 6*u = 15. Let f(l) = -2*l + 4. Let v(a) = 2*a - 3. Let k(w) = -6*f(w) - 5*v(w). What is the remainder when k(8) is divided by u?
1
Suppose 12 = 2*s - 0*s. Let z be -4 + (0 - -1) + 24. What is the remainder when s is divided by 36/z + (-6)/(-21)?
0
Let l(a) = a**3 - 9*a**2 + 12*a - 10. Let m be 2/8 + 62/8. What is the remainder when l(m) is divided by 12?
10
Let b be 4/(-6)*(1 + 8). What is the remainder when 43 is divided by b/(-2)*5*1?
13
Let a = 32 + -9. What is the remainder when 114 is divided by a?
22
Let q(h) be the second derivative of h**4/12 - 5*h**3/6 + 3*h**2 - 2*h. Let d(y) = y**2 - 6*y + 10. What is the remainder when d(7) is divided by q(5)?
5
Suppose -5*u = -j + 18, 0*u - 4*u - 5*j = 26. What is the remainder when 45 is divided by 49/4 + u/16?
9
Let g be ((-49)/(-14))/((-1)/(-2)). Suppose -3*q + g*q = -2*o + 10, o = 3*q. Let p = 3 - 1. Calculate the remainder when p is divided by q.
0
Suppose -5*w = i + 7, 0 = 2*w - 4*i - 4 - 2. Let m(t) = 30*t**2. Let c(s) = s**2 - 1. Calculate the remainder when m(w) is divided by c(-3).
6
Suppose 3*p - w - 21 = -0*p, -5*w + 21 = 3*p. Calculate the remainder when 61 is divided by p.
5
Let x(w) = w**2 - 8*w. Let f be 93/12 + (-2)/(-8). Let k be x(f). Suppose k - 16 = -4*y. Calculate the remainder when 11 is divided by y.
3
Suppose 19 = v + 5*c, -3*v - v + 2*c = -10. Suppose -v*i + 2*i = 194. Calculate the remainder when 16 is divided by i/(-11) + 12/66.
7
Let i(z) be the second derivative of 5*z**3/3 - z**2 - z. Let n be (1 + -2)*(5 + -7). What is the remainder when i(n) is divided by 7?
4
Suppose n = -2*b + 11, -2*n - 5*b - 31 = -4*n. Calculate the remainder when n is divided by (6/(-8))/(27/(-180)).
3
Let z(h) = h**2 + 6*h + 1. Let v be 11/(-2)*(-3 + 1). Suppose 3*d - v = 4. What is the remainder when z(-7) is divided by d?
3
Let s(k) = -k**3 - 7*k**2 + 8*k + 3. Suppose 3*c + 3 = -21. What is the remainder when 3*3 + -1 + 0 is divided by s(c)?
2
Suppose 2*k + k + 3 = 0. What is the remainder when (-2)/k - (-62)/1 is divided by 22?
20
Let i(a) = -a**3 + 5*a**2 - a + 2. Let x be i(5). Let w be 2*(x/(-2) + 1). Suppose o - w*o + 64 = 0. What is the remainder when o is divided by 9?
7
Suppose 4*v - i - 424 = 0, -i + 318 = 3*v + 2*i. Let p = 57 + -30. Calculate the remainder when v is divided by p.
25
Suppose 30*l - 34*l = -12. Suppose -6 - 4 = -2*p. What is the remainder when p is divided by l?
2
Suppose -2*u + 14 = 4*v - 22, 0 = 5*v + u - 45. Suppose 0 = -r - 2*r + 3. What is the remainder when 14 - (0 + r*-2) is divided by v?
7
Let f = -57 - -72. Calculate the remainder when 82/3 - (-1)/(-3) is divided by f.
12
Calculate the remainder when 62 is divided by (1 - 0)/((-11)/(-176)).
14
Suppose -3*d - 2*v - 22 = -63, 4*d = -v + 53. Calculate the remainder when 49 is divided by d.
10
Let n(r) = -3*r + 9. Let w = 1 - -9. Calculate the remainder when n(-6) is divided by w.
7
Suppose -2*f + f + 25 = 0. Let d = -15 + f. Let y = 10 + 18. What is the remainder when y is divided by d?
8
Suppose 51 = 4*p + 5*d, -3*d - 1 = -10. Suppose 56 = -9*a + 13*a. What is the remainder when a is divided by p?
5
Let y = 292 - 198. Calculate the remainder when y is divided by 21.
10
Let n = 30 + -60. What is the remainder when 16 is divided by n/(-4)*54/45?
7
Suppose -2*d = u - 38, -4*u + 161 + 27 = -4*d. Let g(t) = 2*t**2 - 2*t + 3. Let c = 3 - 0. Calculate the remainder when u is divided by g(c).
14
Calculate the remainder when 18 is divided by (9/(-6))/((-18)/24).
0
Suppose -3*c + 284 = -4. Let h = -13 + c. Calculate the remainder when h is divided by 28.
27
Let w = -16 + 50. Suppose -m + 49 = 4*h, 5*h = m - 3*m + 62. What is the remainder when w is divided by h?
10
Let x = -1 - -13. What is the remainder when x is divided by 2?
0
Let k(h) = -h**2 - 14*h - 11. Calculate the remainder when k(-9) is divided by 12.
10
Let f(v) = v**3 + 3*v**2 - 2*v - 1. Let j be f(-3). Let s(g) = 1 + 2*g + j*g + 2. What is the remainder when s(7) is divided by 18?
16
Let z = 76 + -29. Let s(r) = 4*r**2 + 5*r + 3. Calculate the remainder when z is divided by s(-3).
23
Suppose 0 = -3*n - 2*i - 53, -2*n - 46 = i + 3*i. Let l be n/(-10)*8/6. Suppose 0 = u - l. Calculate the remainder when u is divided by 1.
0
Let b(n) = n**2 - 16*n - 17. What is the remainder when b(19) is divided by 15?
10
Suppose -4*p - 1 + 9 = 0. Suppose 4*k - 2*w = 68, 68 = 2*k + p*k + 3*w. Calculate the remainder when 67 is divided by k.
16
Let s = -17 - -21. Suppose -w - w = -s. What is the remainder when 2 is divided by w?
0
Suppose 0 = -u - 3*u + 20. Suppose -5*j - 40 = -i, 0 = u*i - 2*j + 1 - 132. What is the remainder when i is divided by (8 - -1)/(0 + 1)?
7
Suppose -19*q + 475 = -14*q. Calculate the remainder when q is divided by 14.
11
Let s(d) = -d**3 - 3*d**2 + 3*d. Calculate the remainder when 14 is divided by s(-4).
2
Let s = 7 - 5. Suppose -3*q - 65 = -2*k - 2*k, 2*k + q = 25. Suppose k = 5*z + 4*d, -s*z + 44 = 2*z - 5*d. What is the remainder when 10 is divided by z?
4
Suppose -2*l - 4*o + 58 = -28, 90 = 2*l + 5*o. What is the remainder when 47 is divided by 169/7 + (-5)/l?
23
Let k = -16 - -31. What is the remainder when 43/2*(1 - -1) is divided by k?
13
Suppose -3*r + 18 = 2*x - 29, -26 = -2*r + 4*x. Suppose -181 + 19 = -3*q. Let a = q - 26. Calculate the remainder when a is divided by r.
13
Suppose -3*p + 12 = p. Suppose 3*i - p - 6 = 0. Suppose l - 42 = -5*w, 3*l + 32 = 4*l + i*w. Calculate the remainder when l is divided by 9.
8
Let 