20 + 5*m**4/12 - 5*m**3/6 + 4*m**2 - 2*m. What is the remainder when 2 is divided by q(d)?
0
Suppose 6*j - 340 = 3*z + j, 4*j + 295 = -3*z. Let g = -59 - z. What is the remainder when g is divided by 16?
14
Let b = -1 - -1. Suppose 2*o + 2*g = -g, b = -o + g. Calculate the remainder when 5 is divided by o - -2 - (-1 + 1).
1
Suppose 0 = -0*w + 3*w + 3*z - 54, -4*z = -20. Suppose -2*o + 37 = -o. What is the remainder when o is divided by w?
11
Suppose x - 3*q = 2*q - 17, 0 = 2*x + 2*q - 14. Suppose x*a = 2*a + 1. What is the remainder when 3 is divided by a?
0
Let v(f) = -f**2 - 10*f - 5. Calculate the remainder when v(-6) is divided by (21/3)/((2 + 1)/3).
5
Let l(o) = o**2 - 7*o + 11. What is the remainder when 56 is divided by l(8)?
18
Suppose 0 = -13*a + 8*a + 950. Suppose a = 4*m + m. Let d = 14 + -4. What is the remainder when m is divided by d?
8
Let p = 36 + -61. Let s be (-1 - -5)*(-10)/4. What is the remainder when (-1090)/p + (-4)/s is divided by 15?
14
Let i(k) be the first derivative of -4*k**2 - 2*k + 4. Calculate the remainder when i(-4) is divided by 16.
14
Suppose -4*t = k - 49, -65 = -3*k + 2*t + 12. What is the remainder when k is divided by 8?
5
Let s = 10 - 7. Suppose -s*x + 188 = x. Suppose 120 = 3*q + 2*q. What is the remainder when x is divided by q?
23
Let d(q) = 2*q**2 - 3*q + 3. Let j be d(2). Suppose 4*s + 16 = 3*r, j*r + 7 - 28 = s. What is the remainder when 6 is divided by r?
2
Suppose -26 + 9 = -4*u + 3*x, -4*u - 5*x - 7 = 0. Let b = 1 + -4. What is the remainder when 5 is divided by (b - -4)/(u/6)?
2
Let h = -22 - -39. Calculate the remainder when h is divided by 6.
5
Suppose -3 = 3*d - 9. Suppose d*i - 12 - 6 = 0. Suppose 16 = -3*b + 4*b. Calculate the remainder when b is divided by i.
7
Calculate the remainder when -1 + 15 + 0/(-3) is divided by 5.
4
Let w(g) = g**3 + g**2 - g - 1. Let c be w(-1). Let j = -8 + 31. What is the remainder when j is divided by 0/1 + 8 - c?
7
Let f be 6/(-4)*(-8)/6. Suppose v + 1 = f. What is the remainder when v is divided by (2*1 - 1) + 0?
0
Let p = -13 + -36. Let x = -29 - p. Let t = x + -11. Calculate the remainder when 25 is divided by t.
7
Suppose -7 + 3 = -f. Suppose 17 = f*d - 43. Calculate the remainder when 28 is divided by d.
13
Let q be -1*(1 - 1)/(-1). Let r = q + 4. Calculate the remainder when 7 is divided by r.
3
Let j = -83 - -96. Calculate the remainder when 25 is divided by j.
12
Let i(q) be the first derivative of q**3/3 + 2*q**2 + 4*q + 2. Let o be 4*1/3*-3. Calculate the remainder when 11 is divided by i(o).
3
Let b = -39 + 66. Calculate the remainder when b is divided by 14.
13
Let r = 137 + -25. Calculate the remainder when r is divided by 23.
20
Suppose 6*n - 186 = 186. Suppose 0*o + 2*o = 42. What is the remainder when n is divided by o?
20
Let h(u) = -3*u + 2. Calculate the remainder when h(-1) is divided by 5.
0
Let c = -537 - -539. Let h = 7 - 3. What is the remainder when h is divided by c?
0
Let j be (1/1)/(7/(-21)). Calculate the remainder when (-3 + 33/(-9))*j is divided by 11.
9
Suppose 5*g + 348 = 4*b + 77, 20 = 4*g. Calculate the remainder when b is divided by 16.
10
Suppose 0 = l - 10 + 2. Calculate the remainder when 15 is divided by l.
7
Suppose v - 5*v + 88 = 0. Calculate the remainder when 197 is divided by v.
21
Let y = -4 - -4. Calculate the remainder when 10 is divided by (y - -3 - 6)*-1.
1
Suppose 2*t - 8 = -4. Calculate the remainder when t is divided by 1.
0
Suppose 0 = -x + 2. Let i(r) = r**3 + 6*r**2 + 5*r + 2. Let u be i(-5). What is the remainder when x is divided by ((-1)/3)/(u/(-6))?
0
Let o(a) = 20*a + 1. Let g be o(4). Let d = 9 - 58. Let h = g + d. Calculate the remainder when h is divided by 17.
15
Let v = 18 + -29. What is the remainder when 21 is divided by (v/3)/((-2)/6)?
10
Let n = 11 + -7. Suppose 11 + 5 = 4*h. Suppose 5*w - 54 + h = 0. What is the remainder when w is divided by n?
2
Let y(a) = -a + 8 + 7 - 4. What is the remainder when 59 is divided by y(-9)?
19
Let t(r) = -r. Let u be t(-4). Suppose -3*c + 5*c + 5*a + u = 0, 5*c + a - 36 = 0. Let d(o) = 23*o**3 + o - 1. What is the remainder when d(1) is divided by c?
7
What is the remainder when (-2 + 5)/(0/3 - -1) is divided by 3?
0
Suppose -60 = -7*s + 2*s. Suppose 2*t = 4*k - 94, 3*k + 3*t - 66 = -0*k. Calculate the remainder when k is divided by s.
11
Let r(s) = s**3 + 6*s**2 + 6*s + 6. Let b be r(-5). What is the remainder when -48*b*6/(-9) is divided by 17?
15
Let g = 15 + -9. Calculate the remainder when g is divided by 2/(-4) - (-20)/8.
0
Let c = 2 - 0. Suppose -10 - 6 = -c*f. What is the remainder when 23 is divided by f?
7
Let i = -5 + -4. Let r = i + 16. Suppose c - 4*c = -39. Calculate the remainder when c is divided by r.
6
Suppose 2*t - 45 = -o, -5*t = 4*o - 68 - 52. Calculate the remainder when 36 is divided by t.
16
Suppose -2*b = -4*b - 8, -b + 10 = 2*r. Let k = -19 - -30. Calculate the remainder when k is divided by r.
4
Suppose -4*w - 47 = -v - 155, 5*w - 4*v - 146 = 0. What is the remainder when w is divided by 7?
5
Suppose 0 = 10*y - 8*y - 8. Suppose -4*i + 44 = -84. Let v = i + -21. What is the remainder when v is divided by y?
3
Suppose f = 5*f - 60. Let x = f + -10. Suppose 75 = 6*t - 2*t - x*s, -3 = s. Calculate the remainder when 29 is divided by t.
14
What is the remainder when 41 is divided by -1 + -12*(-3 + 2)?
8
Let d(z) = z + 14. Suppose 5*u - 3 + 53 = 0. Let x be d(u). Suppose -4*h + 2*h = -x, -2*k + h = -66. Calculate the remainder when k is divided by 18.
16
Let p = -26 - -39. Calculate the remainder when p is divided by 7.
6
Suppose 3*t = 2*w - 29 - 80, -4*w + 2*t + 206 = 0. What is the remainder when w is divided by 13?
11
Suppose 3*x + 6 = 0, -4*v - 2*x + 8 = -v. What is the remainder when 75 is divided by v*(38/4 - 3)?
23
Suppose i = -i - 4, -2*i = -3*v + 19. Suppose v*a - o - 13 - 35 = 0, 0 = 4*a + 4*o - 24. What is the remainder when 25 is divided by a?
7
Let b(j) = j - 24. Let y be b(13). Let c = -3 - y. What is the remainder when 21 is divided by c?
5
Suppose -7*z = -3*z. Let d(t) = 3 + 6 - t + z*t. Calculate the remainder when 14 is divided by d(4).
4
Let u be (-5)/(-1 + 2 - 2). Suppose -40 = -2*v - 0*v + 3*f, 0 = -4*v - u*f + 58. What is the remainder when 31 is divided by v?
14
Let t(u) = -2*u**3 - u + 1. Let r be t(1). Calculate the remainder when r + -2 + 2 + 67 is divided by (2 - -24) + -2*2.
21
Let l(u) = -u. Let r(g) = -g**3 - 6*g**2 + 7*g. Let k be r(-7). Let j be l(k). Suppose -i - i + 32 = j. What is the remainder when i is divided by 9?
7
Let f(a) = 2*a**3 - 3*a**2 - a + 2. Let w be f(2). Let t = w - 4. What is the remainder when 15 is divided by (2*-1 - -10) + t?
7
Let o(m) = m**3 - 2*m**2 - 3*m + 2. Let j be o(3). Suppose k + 12 = j*k. Calculate the remainder when 22 is divided by k.
10
Let m(b) = -b - 4. Let s = -10 + 7. Let r be m(s). Calculate the remainder when 0/3 - 26/r is divided by 14.
12
Let n = 25 - 9. What is the remainder when 46 is divided by n?
14
Let i = 11 - 11. Suppose i = 5*l + 1 - 31. What is the remainder when 15 is divided by l?
3
Let l(a) be the third derivative of a**6/120 + a**5/10 + a**4/12 + a**3/6 + 4*a**2. Let b = 21 + -12. What is the remainder when l(-4) is divided by b?
7
Suppose 0*x = x - 28. What is the remainder when x is divided by 54/(-12)*(-10)/3?
13
Suppose -2*v - 132 = -5*v. What is the remainder when v is divided by 23?
21
Suppose 0 = -4*g - d - 4*d + 37, 2*d = 2. Calculate the remainder when 29 is divided by g.
5
Suppose 7*v = 11*v + 16. Let i(s) = s**2 - 2*s - 6. Suppose 0 = -0*y + 2*y - 66. Calculate the remainder when y is divided by i(v).
15
Let f = 67 - 34. Let s = f + -20. Suppose 0 = 2*i - j - 48, 3*i + j - 102 = -i. Calculate the remainder when i is divided by s.
12
Let l(n) = -5*n - 17. Let p = -19 - -10. What is the remainder when l(p) is divided by 15?
13
Let h(v) = v**3 - v + 14. Suppose 0 = -2*k + 10, -4*k - 5 = m - 30. Calculate the remainder when h(0) is divided by m.
4
Let b = 14 - 8. Let v(z) = 16*z**3 + 2*z**2 - 1. Let y be (2 - 2/2) + 0. Calculate the remainder when v(y) is divided by b.
5
Suppose -8*t + 5*t = -9. Suppose t*d - 5*d + 16 = 0. Calculate the remainder when 20 is divided by d.
4
Let d(u) = u. Let j be d(-1). Let n = 3 + j. What is the rem