the remainder when z is divided by k?
2
Suppose 5*u - 7*u + 3*s - 10 = 0, -u = -5*s + 5. Let y = u - -7. Suppose 0 = -h - 1 + y. Calculate the remainder when 1 is divided by h.
0
Let n(l) = -l**2 + 8*l - 2. Let p = -10 - -16. What is the remainder when 27 is divided by n(p)?
7
Let z(c) = 3*c**2 + 13*c - 18. Let u(g) = -2*g**2 - 14*g + 17. Let b(w) = -4*u(w) - 3*z(w). What is the remainder when b(13) is divided by 13?
12
Let w(d) = d**2 + 13*d + 19. Suppose 4*s - 23 = -3*y + 63, 134 = 5*y + 2*s. Calculate the remainder when y is divided by w(-12).
5
Suppose -21 = 2*b + 5*y, -3*y + 0*y = 5*b + 5. What is the remainder when 26 is divided by 228/36 - b/(-3)?
5
Let w(a) = a**2 + 3*a - 7. What is the remainder when w(-9) is divided by 25?
22
Let x(q) = -q + 2. Let t be x(-2). Let h = 108 - 63. What is the remainder when 16 is divided by t/18 + 260/h?
4
Let b be (-2)/5 + (-108)/(-20). Suppose -b*r = o + o - 56, r - 34 = -o. What is the remainder when o is divided by 13?
12
Let v(s) = s**3 - 6*s**2 - 3*s - 3. What is the remainder when v(7) is divided by 15?
10
Let h(j) be the third derivative of -j**5/60 - 7*j**4/24 - j**3/3 + 6*j**2. Let o be -5 + 2 + -1 - 1. What is the remainder when h(o) is divided by 5?
3
Let x = 18 - 13. Suppose -x*c = -2*c - 4*p - 8, -3*c = 3*p - 15. Let g(r) = r**3 + r + 6. Calculate the remainder when g(0) is divided by c.
2
Let k(y) = y**3 - 8*y**2 - 9*y + 5. Let r be k(9). Suppose 0*x = -2*x - 3*d + 8, -2*x - r*d = -12. Calculate the remainder when 5 is divided by x.
0
Suppose 2*a - 10 = 7*a. Let g = 8 + a. Calculate the remainder when 17 is divided by g.
5
Suppose 4*b - 5 = 47. Suppose -2*j - 14 = -3*j. Let s = j - 6. Calculate the remainder when b is divided by s.
5
Suppose -p = 3*p - 20. Let i = 5 - p. Suppose u - 8 - 1 = i. Calculate the remainder when u is divided by 5.
4
Let q(c) = 10*c**2 - 1. Let i = 4 + 0. Suppose 0 = 5*u - i*a + 13, 3*u - 4*a + 7 = -4. What is the remainder when q(u) is divided by 6?
3
Let m = 64 - 1. Calculate the remainder when m is divided by 32.
31
Suppose y + 3*y = 8. Let z = y - -2. Suppose -40 = 2*j - z*j. What is the remainder when 39 is divided by j?
19
Suppose -2*p + k + 78 = 4*k, -3*p - k = -124. What is the remainder when p is divided by 23?
19
Suppose 0*x = 3*x. Let j be (-3)/((-4)/(-16)*-3). Suppose j*g + x = 16. What is the remainder when g is divided by 2?
0
Calculate the remainder when (-10)/50 - 56/(-5) is divided by 5.
1
Suppose 0 = -4*a - 4*f + 540, -36 = -a + 4*f + 124. Suppose 0 = 3*k - 28 - a. Suppose d - k = -d. What is the remainder when d is divided by 10?
8
Let t be (2/1)/1 - -1. Suppose z - 6*z + 20 = 0. Calculate the remainder when (t/(-2))/(6/(-40)) is divided by z.
2
Suppose 19 + 1 = 4*t. Let k be (t + -2)*(-2)/(-3). Suppose 2*z = -k, 2*z - 130 = -2*i - 0*i. Calculate the remainder when i is divided by 17.
15
Let q = -164 - -275. What is the remainder when q is divided by 19?
16
Suppose 0 = -3*n + 12, 5*z - 2*n - 107 = -0*n. Let h be 21/(-9) - 2/(-6). Let o = h - -15. Calculate the remainder when z is divided by o.
10
Suppose 6*u + 2*u = 1136. Calculate the remainder when u is divided by 24.
22
Let s = 123 + -78. Calculate the remainder when s is divided by 23.
22
Suppose -156 = -l - 2*l. Let m be l/(0 + 1) - -1. Let b = -30 + m. What is the remainder when b is divided by 8?
7
Let y(q) = q**3 + 4*q**2 - 3*q - 2. Let s be y(-3). Let w = s + -7. What is the remainder when 26 is divided by w?
8
Suppose -23*x + 26*x = 93. What is the remainder when x is divided by 14?
3
Let g = -15 + 18. Suppose 0 = g*c + 5*k - 86, 0*c + k = 2*c - 53. Calculate the remainder when c is divided by 15.
12
Let m(f) = 13*f**2 + 5*f + 3. What is the remainder when m(-3) is divided by 27?
24
Let w be 23/4 - (-2)/8. Suppose -5*d = -2*d - w. Suppose 0 = -3*j + 4*q + 1 - 6, 9 = 3*j + 3*q. Calculate the remainder when d is divided by j.
0
Suppose 28 = j + 5*z - 1, -33 = -2*j - 5*z. Let q(p) = -p**3 - 6*p**2 - 5*p + 3. Calculate the remainder when j is divided by q(-5).
1
Suppose 0 = 3*h - 5*h + 26. Suppose -9*v = -h*v + 184. Calculate the remainder when v is divided by 16.
14
Let i(t) = 2*t**3 - 4*t**2 + 7. Let q be i(3). Suppose 106 - q = 3*u. Calculate the remainder when u is divided by 14.
13
Let v = -45 + 59. Calculate the remainder when 25 is divided by v.
11
Suppose 0 = -8*q + 3*q + 235. Suppose -5*l - 2*t = 2*t - 125, 2*l = -t + 50. What is the remainder when q is divided by l?
22
Let a(j) = j**3 - 99. Let r be a(0). Let p = -61 - r. Calculate the remainder when p is divided by 20.
18
Let l = 85 - 49. Suppose -2*d = -3*o - 86 - 208, 4*d - 2*o - 572 = 0. What is the remainder when d is divided by l?
33
Suppose -5*o = -m + 42, -120 = -4*m - o - 3*o. Calculate the remainder when 93 is divided by m.
29
Suppose -5*u = -2*n + 3*n - 120, 5*n - 2 = u. Let v(h) = h**2 + 2*h - 2. Calculate the remainder when u is divided by v(-5).
10
Let x(l) = l**3 + 11*l**2 + 11*l + 12. Let p be x(-10). Suppose -p*t = 3*t - 230. What is the remainder when t is divided by 16?
14
Let w be (8 - 3)*(-3)/(-5). Let b(i) = 1 + 2*i + i**3 - i**2 - w*i**2 + 3 - 2. Calculate the remainder when 19 is divided by b(4).
9
Suppose 5*h = y + 4*y + 10, 0 = -5*h + 2*y + 16. Suppose 1 = h*w + 13. What is the remainder when 28 is divided by (0 - (-6)/w)*-5?
8
Suppose 4*t - 13 - 23 = -5*x, -13 = -2*x - 3*t. Calculate the remainder when 13 is divided by x.
5
Let u(k) = -9*k**3 + 2*k**2 - 2*k - 3. Calculate the remainder when 38 is divided by u(-1).
8
Suppose -86 = -5*d + 269. Calculate the remainder when d is divided by 19.
14
Let m = -28 - -55. Calculate the remainder when 104 is divided by m.
23
Suppose x - 20 = -0*p - p, 5*x - 3*p = 116. Suppose 8 = q - x. What is the remainder when q is divided by 16?
14
Let u = 93 + -78. What is the remainder when u is divided by 8?
7
Let q(m) = m**2 + 7*m - 14. What is the remainder when 63 is divided by q(-10)?
15
Let m be -48 + (-6)/9*-3. What is the remainder when 31 is divided by 24/36 + m/(-3)?
15
Let i(d) = -d**2 - 6*d + 9. Let j be i(-7). Let l(g) = 3*g**2 - 2*g - 2. Calculate the remainder when l(j) is divided by 2.
0
What is the remainder when (-3*1)/(42/(-98)) is divided by 3?
1
Suppose -2*l + 0 + 4 = 0. Suppose -l*p = -6*p + 80. Suppose -3*n + 6 = -3*s, -4*s + 21 = 3*n - 20. Calculate the remainder when p is divided by n.
6
Let d = 14 - 6. What is the remainder when 13 is divided by d?
5
Let a(w) = -w**3 + 2*w**2 + 2. Let r be a(2). Suppose 0 = -f - 0 - 3. Let n = r - f. What is the remainder when n is divided by 3?
2
Let a(y) = y**3 + 13*y**2 + 15. Let r be a(-13). Suppose -s = r - 6. Calculate the remainder when 26 is divided by ((-4)/(-4))/((-1)/s).
8
Let z(h) = 1 + 4*h + 0*h + h**2 - 2*h**2. Calculate the remainder when 2 is divided by z(4).
0
Let g = -15 - -30. Let u = 56 - 28. Calculate the remainder when u is divided by g.
13
What is the remainder when 58 is divided by -4 + (-4 - -5)*14?
8
Let j = -92 + 167. Calculate the remainder when j is divided by 21.
12
Let a(d) = d**2 + 3*d + 2. Let r be a(-2). Suppose 5*y + 0*y - 290 = r. Suppose 0 = -3*p - 0*p + 60. What is the remainder when y is divided by p?
18
Let h = -4 + 4. Suppose 2*r + 15 - 5 = h, 0 = -2*i - 2*r + 14. Calculate the remainder when i is divided by 5.
2
Let p(z) = -z**3 + z. Let c be p(0). Suppose -1 = -4*m + 3*b, 4*b = -m - c*m + 24. What is the remainder when ((-21)/(-6))/((-1)/(-2)) is divided by m?
3
Suppose -5*m = b - 431, -b + 3*b - 346 = -4*m. What is the remainder when m is divided by 11?
9
Let a(m) = m**3 - 3*m**2 + 2*m - 2. Let j be a(3). Suppose s - j = -0*s. Calculate the remainder when 29 is divided by 1/((s/15)/4).
14
Let o(x) = -x - 3. Let u(t) = t - 2. Let r be u(4). Suppose -2 = -r*y + 2. Calculate the remainder when o(-6) is divided by y.
1
Let v(z) = -z**3 + 5*z**2 + z - 5. Let b be v(4). What is the remainder when (-2)/10 + 78/b is divided by 2/4 - 12/(-8)?
1
Suppose 0*f = 4*f - 224. Calculate the remainder when f is divided by 19.
18
Suppose -4*f = -2*f. Suppose 2*n - 35 = -f*q - q, 0 = 2*q - 10. Calculate the remainder when (21/(-2))/((-1)/4) is divided by n.
12
Let g(j) = 7*j + 5. Suppose 4*d - 3*u = 39, -5*d + 18 + 7 = u. What is the remainder when g(6) is divided by (-141)/(-9) + 2/d?
1