.
6
Let y = -23 + 9. Let x(m) = -m**3 - 14*m**2 + 2*m + 1. Let w be x(y). Let c = -18 - w. Calculate the remainder when 25 is divided by c.
7
Let v be (-4)/(1 - (-2 - -2)). Suppose 4*u - 28 = -4. What is the remainder when ((-2)/(v/34))/1 is divided by u?
5
Let m = -140 - -237. Calculate the remainder when m is divided by 25.
22
Let k(v) = -29*v - 1. What is the remainder when 50 is divided by k(-1)?
22
Let h = -20 + 87. Calculate the remainder when h is divided by 18.
13
Let v(q) = q**3 + 10*q**2 - 14*q - 16. Let w be v(-11). Suppose 0 = -2*o + 77 + w. What is the remainder when o is divided by 16?
15
Suppose 2*k - k = 29. Calculate the remainder when k is divided by 10.
9
Let w = 69 + -64. What is the remainder when 15 is divided by w?
0
Let r(a) = -10*a + 4. Let s be r(-6). Suppose -123 = -2*d + 5*h, s = -2*d + 3*d - 5*h. Calculate the remainder when d is divided by 20.
19
Let p = 9 - -54. Suppose -4*w = -5*y - 121, 2*y + y + p = 2*w. Calculate the remainder when w is divided by 13.
11
Suppose 188 = 8*z - 36. What is the remainder when z is divided by 10?
8
Let f be (-4)/6*(-801)/6. Suppose 5*y - 166 - f = 0. Let l = -36 + y. Calculate the remainder when 28 is divided by l.
13
Let b = 5 - 5. Suppose 0 = -s - 5, 3*s = -r - b*s - 2. Calculate the remainder when 25 is divided by r.
12
Suppose -56 = -8*a - 0. Calculate the remainder when 25 is divided by a.
4
Let q(v) = -2*v**3 - 1. Let o be q(-1). What is the remainder when 13 + o*(3 - 1) is divided by 6?
3
What is the remainder when 86 is divided by 24 + -1 + (-2 - -1)?
20
Suppose 0 = -a + 22 + 5. Let h = 76 - a. What is the remainder when h is divided by 13?
10
Suppose -4*x - 284 - 112 = 0. Let g = x + 143. What is the remainder when g is divided by 9?
8
Suppose -3*p + 29 = -5*z, z - 5 = p + 3*z. Suppose 5*s - 4*l = 34, -4*s - p*l + 26 = -5*l. Calculate the remainder when 17 is divided by s.
5
Let c(g) = 2*g**2 - 3*g + 3. Let a be c(2). Suppose -a*d + 60 = -20. Suppose f - 3*r + 14 = 2*r, r = -f + d. What is the remainder when f is divided by 4?
3
Suppose -x - 1 + 3 = 0. Suppose -x*b + 17 = 1. Calculate the remainder when 39 is divided by b.
7
Suppose 0 = 5*t - 214 + 74. Suppose 2 = -2*k, 6*q + 4*k - 71 = q. Calculate the remainder when t is divided by q.
13
Let r = 5 - 5. Suppose -4*z + 2*u + 86 - 6 = r, -5*z - 3*u + 122 = 0. Calculate the remainder when 64 is divided by z.
20
Let n = -45 + 54. What is the remainder when 43 is divided by n?
7
Let k = -9 + 6. What is the remainder when (-868)/(-8) - k/(-2) is divided by 27?
26
Let k(x) = x - 3. Let t be k(6). Calculate the remainder when t*(105/9 - 3) is divided by 14.
12
Let f be -1 + 2 + 9/3. Suppose -k = 4*t - 26, -k - f*t + 32 = k. What is the remainder when 17 is divided by k?
5
Let w(v) = v**3 + 9*v**2 + 16*v + 8. Calculate the remainder when 38 is divided by w(-6).
18
Let l(t) = t**2 + 2*t + 3. Calculate the remainder when 53 is divided by l(-4).
9
Let p be 30*(10/3 + -2). Suppose -p = -s - 3*s. Calculate the remainder when s is divided by 4.
2
Suppose -3*r + 4*r - 3*v - 9 = 0, 0 = 2*r + 3*v - 36. Let p = 91 - 35. What is the remainder when p is divided by r?
11
Let b(v) = -v**3 - 4*v**2 + 2*v - 7. Let d be b(-5). Let p = 13 - d. What is the remainder when 1/p + (-4)/(-5) is divided by 1?
0
Suppose -z = 5*j - j - 11, 19 = -4*z + 5*j. Calculate the remainder when 7 is divided by -2 - (-1 + 7)*z.
3
Let a(z) = -z**3 - 17*z**2 - 34*z - 15. What is the remainder when a(-15) is divided by 18?
9
Calculate the remainder when 249/15 + (-18)/30 is divided by 6.
4
Suppose 0 = -4*v + 5*q - 46, 0 = -q + 1 + 1. Let d(c) = c**3 + 10*c**2 + 5*c - 5. Calculate the remainder when 90 is divided by d(v).
28
Let u = 7 - 5. Calculate the remainder when u is divided by 1.
0
Let d(g) = g - 1. Suppose 0 = 4*k - 3 - 1. Let v = 3 + k. Calculate the remainder when v is divided by d(4).
1
Let h = -262 + 284. Let r(u) = -4*u. Let x be r(-2). Suppose x = -2*q + 3*q. What is the remainder when h is divided by q?
6
Let h(w) = -4*w. Let c be 12 + (-3 + 2)*-3. Let o be (-3)/(-4) - c/4. What is the remainder when 23 is divided by h(o)?
11
Let y be ((-28)/21)/((-4)/(-6)). Calculate the remainder when (0 - -2)*(-47)/y is divided by (-8)/((-1)/(-2 + 5)).
23
Suppose 0*w - 24 = -4*w. Let u = 98 - 95. Suppose w*s - s - 50 = -2*o, u*s = -o + 27. What is the remainder when 28 is divided by o?
13
Suppose -20 = 5*k, 5*b = 2*k + 15 + 18. What is the remainder when 12 is divided by b?
2
Let t = 61 - 39. Suppose 4*x - 9 = 11. Suppose x*q - 8 = 4*q. Calculate the remainder when t is divided by q.
6
Let y(q) = -3*q**3 + q**2. Let v be y(-1). Suppose 0 = -7*h + v*h. Suppose h = d + 2*d - 30. What is the remainder when 19 is divided by d?
9
Suppose 0 = 6*g - 0*g - 18. Calculate the remainder when 11 is divided by g.
2
Let g(l) be the first derivative of -l**3/3 - 13*l**2/2 - 11*l + 2. Calculate the remainder when g(-9) is divided by 9.
7
Suppose 128 - 26 = 17*b. What is the remainder when (0 - (-22)/(-3))*-3 is divided by b?
4
Let m(a) = -a**3 + 8*a**2 - 5*a - 10. Let o be m(7). Suppose s - o*s - 3*w + 171 = 0, 2*s - 109 = -3*w. Calculate the remainder when s is divided by 32.
30
Let p be (-2)/(-4)*48/(-4). Let v = p - -11. Calculate the remainder when v is divided by 3.
2
Let a = -551 + 816. Let b be (0/((-3)/(-3)))/3. Suppose b = -4*z - z + a. What is the remainder when z is divided by 18?
17
Let k = 153 - 151. Suppose -2 = -2*n + n. Suppose -j = -6 + n. What is the remainder when j is divided by k?
0
Let s = -3 + 31. Suppose 2*l - 3*z - 8 = -z, l + 5*z - s = 0. What is the remainder when 23 is divided by l?
7
Suppose 2*z - 2*x - 34 = -6*x, -2*z + 5*x + 25 = 0. What is the remainder when z is divided by 8?
7
Let v(w) = -3*w + 2. Let o be v(9). Let y = -7 - o. What is the remainder when y is divided by 11?
7
Let t = 9 - -27. Suppose 3*g + 0*g - 3*i = t, g - 16 = 5*i. What is the remainder when 30 is divided by g?
8
Suppose 6*q - 14 - 4 = 0. Let i(m) = m**2 + 2*m - 4. Calculate the remainder when i(-4) is divided by q.
1
Let s(m) = -14*m + 1. Let l be s(-2). Suppose 4*z - z - 66 = 0. Calculate the remainder when z is divided by (l - -1)*(-2)/(-5).
10
Suppose -3*r = -f - 2*f + 78, 3*f + 3*r = 72. What is the remainder when f is divided by 14?
11
Calculate the remainder when ((-45)/(-10))/(-9)*-54 is divided by 7.
6
Let s(z) = z**2 - 7*z - 21. Let m = 41 - 21. What is the remainder when s(-6) is divided by m?
17
Let g(h) = 12*h. Let a(w) = -w. Let p(d) = -28*a(d) - 2*g(d). Calculate the remainder when 13 is divided by p(2).
5
Suppose -3*d - d = -2*v + 98, -3*v + 155 = -2*d. What is the remainder when v is divided by 18?
17
Suppose a + 28 = -15*v + 17*v, v = 3*a + 24. Let s = 8 - 1. What is the remainder when v is divided by s?
5
Let p(b) = -b**2 + 18*b - 7. What is the remainder when p(13) is divided by 15?
13
Let q(d) = -3*d - 15. Let u = -58 - -84. Calculate the remainder when u is divided by q(-8).
8
Suppose -f - 13 = -21. Calculate the remainder when 31 is divided by f.
7
Suppose -4 - 16 = 4*p, 2*d - 4*p = 46. Suppose 13*g - 623 = -142. Calculate the remainder when g is divided by d.
11
Suppose -5*m + m = -24. Calculate the remainder when -3 - (-16 - 4/6*6) is divided by m.
5
Suppose -3*c + 2*x = 208, 2*c - 2*x + 147 = x. Let z be 4 - (3 - 1) - c. Suppose 0 = 4*t - z - 16. Calculate the remainder when t is divided by 12.
9
Let o be (-3)/(-9) + 38/(-6). What is the remainder when 3 is divided by ((-5)/(-15))/((-2)/o)?
0
Let z = 64 + -19. Let o = z + -31. Calculate the remainder when 52 is divided by o.
10
Calculate the remainder when (45 - -1)/(3/6) is divided by 19.
16
Let i = -17 - -46. What is the remainder when i is divided by 16?
13
Let y(l) be the third derivative of l**6/120 + 2*l**5/15 + l**4/24 - l**3/6 + 2*l**2. What is the remainder when y(-7) is divided by 14?
13
Let m(v) = v**2 + 0*v**2 - 1 + 4 - 3*v. Calculate the remainder when 62 is divided by m(6).
20
Suppose 65*c - 28 = 63*c. Calculate the remainder when 25 is divided by c.
11
Let d(s) = -s + 23. Let t = -3 - -19. Suppose 3*q - t = 5*a, 0 = -2*q + q + 2*a + 4. What is the remainder when d(0) is divided by q?
11
Let h(a) = 43*a**2 + 5 + 2*a - 3 - 3. What is the remainder when h(1) is divided by 15?
14
Let q(l) = l