
15
Suppose -p + z = -4*z - 10, 0 = 2*z. Let x(a) = a**3 + 8*a**2 + 7*a - 1. What is the remainder when x(-6) is divided by p?
9
Suppose 124 = 4*n - 0*n. What is the remainder when 90 is divided by n?
28
Suppose 212 = 9*i + 41. What is the remainder when i is divided by 7?
5
Suppose 0*i + 15 = -5*i. What is the remainder when 29 is divided by i + (18 - (1 + -1))?
14
Suppose 25 = -2*r + 3*r. What is the remainder when r is divided by 14?
11
Let j = -9 + 33. Calculate the remainder when 47 is divided by j.
23
Let w be (-24 + 0)*(-6)/4. Let c = -14 + w. What is the remainder when 42 is divided by c?
20
Let c be (-2)/(2 + 0/(-1)). Calculate the remainder when 4 + -5 - (-10 - c) is divided by 5.
3
Let a(f) = -f**3 - 10*f**2 + 13*f + 1. Let r be a(-11). What is the remainder when 14 is divided by 132/28 - 6/r?
4
Suppose -2*c = 10, -c + 0*c = -2*o + 21. Suppose 0 = -r - 4 + o. Calculate the remainder when 7 is divided by r.
3
Let d be 2/(-2) - (-153 - 0). Suppose -4*l + d = 3*f, 5*l - 258 + 68 = -5*f. What is the remainder when l is divided by 79/6 + 1/(-6)?
12
Let f(l) = l**2 - 7*l - 6. Let o be f(8). Suppose 5*j = 4*j + o, -j - 148 = -5*x. What is the remainder when x is divided by 16?
14
Let r(n) = 2*n**2 - n + 6. Let h be 48/(-10) - 1/5. What is the remainder when r(h) is divided by 106/5 + 9/(-45)?
19
Suppose 3*d = -o + 27, 0*o + 5*o - 47 = -4*d. Let l = 29 - 7. Suppose -l = h - 2*h. What is the remainder when h is divided by d?
6
Suppose -355 = -7*m + 2*m. What is the remainder when m is divided by 12?
11
Suppose b - 3*i + 3 = 0, -4*i - 85 = -5*b - 9*i. Let w(q) = 2*q**3 - 6*q**2 + q - 3. What is the remainder when w(4) is divided by b?
9
Let k be 11 + (3 - 2)*-1. Let g = -2 + k. Calculate the remainder when g is divided by 5.
3
Suppose 0*h - h + 1 = 0. Calculate the remainder when h is divided by 1.
0
Suppose r + 3*o + 31 = 3*r, -45 = -3*r + 5*o. What is the remainder when 78 is divided by r?
18
Let l(y) = y**2 - 7*y + 3. Let m be l(7). Calculate the remainder when 8 is divided by 3/9 + 14/m.
3
Suppose 7*d = 3*d - 2*s + 26, d + s - 8 = 0. Suppose -5*p - 4*t + 45 = t, d*t = 2*p - 18. Calculate the remainder when 14 + 1 + 2 + -1 is divided by p.
7
Suppose 2*m - 4*o = -38, -m - 5*o + o = 25. Let j = 1 - -4. What is the remainder when (m/(-4))/(6/16) is divided by j?
4
Let m(w) = w**3 + 7*w**2 + 3*w - 8. Calculate the remainder when 110 is divided by m(-4).
26
Let v(g) = -4*g - 3. What is the remainder when 25 is divided by v(-3)?
7
What is the remainder when (-572)/(-18) - -1 - (-12)/54 is divided by 20?
13
Let w(x) = 2*x + 24. What is the remainder when 14 is divided by w(-8)?
6
Suppose 4*p = -3*k + 52, -3*k + p + 15 + 47 = 0. Let o = -8 + 12. Suppose -2*q + o*q - 22 = 0. Calculate the remainder when k is divided by q.
9
Suppose 3*g + 6*y - 91 = 2*y, 12 = 3*y. What is the remainder when 47 is divided by g?
22
What is the remainder when (-6 + 2)*(-1 + -13) is divided by 12?
8
Suppose 3*w = 14 + 1. Suppose -4*d + 0*d = -8. Suppose 0 = -t - d, 0*m - 85 = -5*m + w*t. Calculate the remainder when 44 is divided by m.
14
Let i(z) = 4*z**2 + 7*z - 6. What is the remainder when i(-4) is divided by 11?
8
Suppose -13 = -g - k, 0 = -5*k - 5 - 10. What is the remainder when 29 is divided by g?
13
Suppose 2*i = -3*u + 164, 2*u = -3*i + u + 232. Calculate the remainder when i is divided by 27.
22
Let b(a) = -a**2 - 2. Let h be b(0). What is the remainder when (-39)/h*(-4)/(-3) is divided by 9?
8
Let f(u) = -18*u - 26. Calculate the remainder when f(-3) is divided by 10.
8
Let v(s) = -10*s + 87. What is the remainder when 60 is divided by v(8)?
4
Suppose 4*l - 20 = 0, -94 = -4*i - 2*l - 0*l. Let f = -63 + 75. Calculate the remainder when i is divided by f.
9
What is the remainder when (17 + -5)/(2/11) + -3 is divided by 23?
17
Calculate the remainder when (6 - 5)/(2/50) is divided by 7.
4
Suppose 110 = 5*r - 3*r. What is the remainder when r is divided by 7?
6
Let j(t) = -t + 2. Let f be j(2). Let r(g) = -g**2 - g + 10. Let v = -1112 - -1140. Calculate the remainder when v is divided by r(f).
8
Suppose 2*j + 2*y = 3*j - 29, -4*j + 4*y = -128. Let s = 12 + -39. Let i = -18 - s. Calculate the remainder when j is divided by i.
8
Let c = 107 - 60. Calculate the remainder when c is divided by 8.
7
Suppose -2*b - j = -76, -3*b + j + 49 + 70 = 0. Calculate the remainder when b is divided by 16.
7
Let g = -49 + 74. Let x = 17 - 8. Calculate the remainder when g is divided by x.
7
Suppose -9 = h - 4*h. Suppose 6 = 2*g + 5*u - 2*u, 3 = h*g + 3*u. What is the remainder when 11 is divided by g/(2/(-3 - 1))?
5
Let n = 92 + 33. Suppose -9*b = -4*b - n. Let a = -9 + 18. What is the remainder when b is divided by a?
7
Suppose 2*m - m - 198 = -4*o, -53 = -o - 2*m. Let f = 313 + -287. Calculate the remainder when o is divided by f.
23
Suppose 0 = 4*g - 3 - 53. Calculate the remainder when (1 + -2)/((-1)/39) is divided by g.
11
Suppose 0 = 3*b - 2*b - 58. Calculate the remainder when b is divided by (-40)/(-2) - (-5 + 10 - 5).
18
Let j(l) = l**2 - 5*l + 7. Suppose 2*s = 5*s + 5*k - 5, 2*s = 2*k + 14. Let i be j(s). Let g = 10 + i. What is the remainder when 66 is divided by g?
15
Let z = 52 - 28. Suppose 3*p - 4*y - 14 = p, 16 = 2*p - 2*y. Calculate the remainder when z is divided by p.
6
Suppose -p = -363 + 125. Suppose 2*v + p = 4*n + 82, -n + v = -40. Calculate the remainder when n is divided by 20.
18
Suppose k + 4*k - 25 = 0. Suppose -2*w - k*p = -84 - 59, -3*p = -2*w + 151. What is the remainder when w is divided by 25?
24
Let g = -11 + 30. Let z = 33 - g. What is the remainder when 39 is divided by z?
11
Let b be 24/(-16) - (-7)/(-2). Let f = 12 + b. Calculate the remainder when f is divided by 2.
1
Let s(r) = -2*r - 13. What is the remainder when 19 is divided by s(-9)?
4
Let p(r) = 3*r**2 - 6*r - 4. Suppose q = 3*q + 12. Calculate the remainder when p(5) is divided by 3/q*-4 - -9.
8
Let s(k) = 14*k - 3. Let h(p) = -p**3 - 5*p**2 - p - 2. Let n be h(-5). Let c be s(n). Suppose -x - 6 = -c. What is the remainder when x is divided by 12?
9
Let k(o) = -o - 2 + 13 + 10*o**2 - 2*o**2 - 9. What is the remainder when k(-2) is divided by 13?
10
Suppose 0 = -3*f - 2*l + 2, 0*l + 1 = 2*f + l. Let k(t) = t**3 + t**2 - t + 40. Suppose -2*u + 30 - 2 = 0. Calculate the remainder when k(f) is divided by u.
12
Suppose -2*h + 5*t + 1 = 0, 0 = -2*h - 3*t + 21 + 20. Let b = 927 - -900. Calculate the remainder when b/49 - 4/14 is divided by h.
11
Let l(g) = 2*g + 12. What is the remainder when 23 is divided by l(-3)?
5
Let o(y) = -y**2 + 10*y - 4. Let r be o(8). Suppose -2*w + 12 + r = 0. What is the remainder when 21 is divided by w?
9
Suppose 3*o - 35 = -2*o. Suppose -5*t = -42 - 28. Let i = 5 + t. Calculate the remainder when i is divided by o.
5
Suppose 2*x = 2*v + 20, -2*x - 5*v = -3*v - 12. What is the remainder when 19 is divided by x?
3
Let b(x) = x**2 + 10*x + 23. What is the remainder when b(-9) is divided by 6?
2
Suppose 2*t = -5*p - 3*t + 30, -3*p - 4*t = -17. What is the remainder when 12 is divided by p?
5
Suppose -2*r + 3*r = -2*s + 1, s = 2*r - 7. Suppose 3 = -r*k + 21. What is the remainder when 22 is divided by k?
4
Let n = 2 - -26. Suppose -56 = -3*s + 2*a, -2*s + 3*a + n = -11. What is the remainder when 52 is divided by s?
16
Suppose 6*q = q + 25, 50 = 3*l + q. Let g = 2 + 7. Let f = 35 + g. Calculate the remainder when f is divided by l.
14
Suppose -5*u + 446 = -64. Calculate the remainder when u is divided by 21.
18
Let t = 14 + 13. Let i = 2 + t. Calculate the remainder when i is divided by 8.
5
Suppose -6*b - 14 - 4 = 0. Let f = 49 - 22. Let u = f - b. What is the remainder when u is divided by 16?
14
Let i = -102 - -143. What is the remainder when i is divided by 21?
20
Let a = -3 - -4. Let q = 2 - a. Let p = 7 + -5. Calculate the remainder when p is divided by q.
0
Let m(y) be the second derivative of 0 + 3*y**2 - 1/12*y**4 - 3/2*y**3 - 4*y. What is the remainder when m(-6) is divided by 13?
11
Suppose -3*i - p + 3*p = 85, -58 = 2*i - 2*p. Let d = 88 + i. What is the remainder when d is divided by 19 + 2/6*6?
19
Let x be ((-23)/2 + -1)*2. Suppose -c + 0*g - g = -1, 0 = -2*c - g - 3. What is the remainder when c/(-10) - 265/x is divided by 7?
4
Let g(o) = 2*o -