 = -2*q. What is the remainder when q is divided by 8?
7
Let f(i) = 7*i + 2. Calculate the remainder when 60 is divided by f(2).
12
Let y(t) = -t**3 - 29*t**2 + 3*t + 100. Suppose 4*a + 1 = 197. Calculate the remainder when a is divided by y(-29).
10
Suppose -98 = 6*c - 266. What is the remainder when 107 is divided by c?
23
Let h = 31 + -19. Suppose 4*t - 4*g - 56 = 0, t - 2*t + h = -3*g. What is the remainder when t is divided by 4?
3
Suppose -212 = -7*r + 19. Calculate the remainder when 61 is divided by r.
28
Calculate the remainder when 5 is divided by (-7 - -4)/((-3)/3).
2
What is the remainder when 61 is divided by (-8)/((-11)/(-4) + -3)?
29
Let b(z) = -z**3 - 6*z**2 - 11*z - 5. Calculate the remainder when 97 is divided by b(-5).
22
Let g(s) = 4*s**2 + 4*s - 1. Calculate the remainder when g(-3) is divided by 1 - -11 - 0/(-4).
11
Let z(d) = d**3 - 9*d**2 + 8*d + 8. Calculate the remainder when 4/(-3 + 23/7) is divided by z(8).
6
Suppose 0 = 3*s + 15, 21 = -3*u + 7*u - s. What is the remainder when (-1 - 2/4)*-4 is divided by 6 - u*2/4?
2
Let n = -1 - 0. Let y = 8 - n. What is the remainder when -1*2/(-2) - -16 is divided by y?
8
Calculate the remainder when (0 - 0/(-2)) + 51 is divided by (39/(-9) - -4)*-39.
12
Let n(p) = p**2 - p + 26. Calculate the remainder when n(-7) is divided by 21.
19
Let m(j) = 9*j + 43. What is the remainder when m(9) is divided by 9?
7
Suppose -2*o + b - 3 = -4, -5*b = -15. Suppose 2*q - 16 = -o*q. Calculate the remainder when 23 is divided by q.
3
Suppose 0 = -2*u - 0*u + 22. Let q be -3*(8/(-12) - 2). Let d = q + -2. What is the remainder when u is divided by d?
5
Let i be (-4)/(-1 - -3) - -3. Let g(l) = -5*l - 5. Let b(d) = 16*d + 14. Let u(r) = 4*b(r) + 11*g(r). Calculate the remainder when u(i) is divided by 4.
2
Let c(g) = -g - 4. Let k be c(-5). What is the remainder when (-3)/((-3)/23)*k is divided by 8?
7
Suppose -5*s - 5*y + 55 = 0, -s - 3*y = -y - 7. What is the remainder when 44 is divided by s?
14
Let s(z) = z**2 - z - 4. Calculate the remainder when (-1 - -16) + 0/2 is divided by s(-3).
7
Suppose -29 - 16 = -5*n. Calculate the remainder when 15 is divided by n.
6
Suppose 24 = 10*o - 1166. Calculate the remainder when o is divided by 8.
7
Suppose -5*g + 4 = -11. Suppose 3*c + 17 = 2*x - 4, -5*c - 5 = 0. Calculate the remainder when (8/g)/(-1)*-6 is divided by x.
7
Let c = 14 + -11. Suppose -10 = -l - c*s + 3, s = 3. What is the remainder when 14 is divided by l?
2
Let l(i) = -7*i - 2. Let o(d) = -d**2 - 9*d - 10. Let u be o(-8). Let q = -34 - -69. What is the remainder when q is divided by l(u)?
11
Let p be (-48)/(-27) - (-2)/9. What is the remainder when 36 is divided by 1*26/4*p?
10
Suppose -4*s - 42 + 98 = 0. Calculate the remainder when s is divided by 5.
4
Suppose 5*y - 51 = 4. What is the remainder when y is divided by 3?
2
Let j(h) = 17*h**2 - 2*h + 2. Let m be j(2). Let g = m - 47. Let v = -10 + g. What is the remainder when v is divided by 6?
3
Suppose h = o - 2, 0 = 5*h - 3*h - 10. Let j = -46 - -25. Let l = j - -40. Calculate the remainder when l is divided by o.
5
Suppose f = -0*f + 3. Suppose -4*q - 6*b + 162 = -b, -6 = f*b. Suppose -v - 3*m - 44 = -3*v, 2*m + 66 = 3*v. What is the remainder when q is divided by v?
21
Suppose -5*m + 27 - 7 = 0. Suppose m - 8 = -4*q. Let t = q + 3. What is the remainder when t is divided by 2?
0
Suppose -3*a + 25 = -29. Calculate the remainder when 52 is divided by a.
16
Let t = 301 + -287. Let v be (0 + -1)/(-1) + 1. What is the remainder when 1/v - 162/(-4) is divided by t?
13
Let d(l) = -l**2 + l - 1. Let p be d(1). Calculate the remainder when (-1)/(-1 + p)*6 is divided by 2.
1
Let f(m) = 3*m. Let x be f(1). Suppose 2*d = -3*s + 58, 47 = x*s + 4*d - 15. What is the remainder when s is divided by 7?
4
Let q(p) = p**3 + 2*p**2 - 2*p + 1. Let f be q(1). What is the remainder when (f + 0)*42/12 is divided by 4?
3
Let m(n) = -n**3 + 28*n**2 + 29*n + 12. Calculate the remainder when 18 is divided by m(29).
6
Suppose -24*c - 363 = -35*c. What is the remainder when c is divided by 12/2*1*2?
9
Suppose -2*g + 319 = g - 2*n, g - n - 108 = 0. What is the remainder when g is divided by (-206)/(-8) + (-2)/(-8)?
25
Suppose 0 = -2*n + 5*o - 0*o + 26, -5*o - 14 = 2*n. Suppose -n = -3*f + 6. What is the remainder when f/(-9) + 134/6 is divided by 12?
10
Suppose 2*c - 3*b + 3 = 0, -2*c + 0*b = -2*b + 4. Calculate the remainder when 39 is divided by (c + -1)/(-4)*14.
11
Suppose 82 = 2*p - 8*t + 3*t, -5*p + 5*t + 190 = 0. What is the remainder when 105 is divided by p?
33
Let l(p) = -p + 2. Let v be l(2). Let d = 16 - v. Calculate the remainder when 45 is divided by d.
13
Let f(k) = -k**2 + 7*k - 3. Let m be f(6). Let t(w) = 3*w**2 + 35*w + 21. Let r be t(-11). Let b = m + r. What is the remainder when 3 is divided by b?
1
Let z = -48 - -71. What is the remainder when z is divided by -3 + (2/(-8) - (-111)/12)?
5
Let f(w) = w**2 + w + 6. Let t(r) = -r**2 + 5*r + 35. What is the remainder when t(6) is divided by f(0)?
5
Suppose 3*o = 4*o + 2, 5*o - 33 = -w. Let b be -5*(-2 - 72/15). Suppose 2*r + 4*h - b = 0, -3*h + 52 = 5*r - 4*h. What is the remainder when w is divided by r?
10
Suppose -75 = -7*a + 2*a. Suppose -5*m + 8 = -2*u, 3*m + a = 4*u + 3. Calculate the remainder when 17 is divided by u.
5
Let y(f) = f**3 - 10*f**2 + 12*f - 35. What is the remainder when y(10) is divided by 23?
16
Let t = -32 - -92. What is the remainder when t is divided by 21?
18
Calculate the remainder when 4/12 + (-2)/(24/(-908)) is divided by 11.
10
Suppose j + 82 = 3*j. Calculate the remainder when j is divided by 14.
13
Suppose 25 = s - r - 2*r, 0 = -4*s + 3*r + 73. Suppose -3*k + 0*k = -18. What is the remainder when s is divided by (9/k + -1)*12?
4
Let b(k) = -2*k**2 - 3*k - 3. Let i be b(-2). Let z(f) = f**2 + 4*f - 6. Let j be z(i). Let h = 0 - j. What is the remainder when 2 is divided by h?
0
Let h be 254/12 - 1/6. Suppose -5*i + 24 + h = 0. Calculate the remainder when 34 is divided by i.
7
Let k(d) = 7*d**3 + d**2 - d. Let b = 4 + -2. Calculate the remainder when 294/15 + b/5 is divided by k(1).
6
Let s(p) = -3*p - 6. Suppose 4*v + 3*j - 79 = 0, 0*j - 36 = -v - 4*j. What is the remainder when v is divided by s(-4)?
4
Let h = 2 + -4. Calculate the remainder when (3 - 3) + (-68)/h is divided by 9.
7
Let d(m) = -2*m**3 - 2*m**2 + 5*m + 2. Suppose 3*h = -4*t - 29, 5*t + 3 + 25 = -h. What is the remainder when d(h) is divided by 12?
11
Let f(n) = -n**2 + 9*n + 5. Let v be f(9). Suppose q + 15 = 6*q + v*z, 5*q - 15 = z. Calculate the remainder when q is divided by 1.
0
Let z(w) = 4*w - 6*w + 2*w + w. Calculate the remainder when 9 is divided by z(4).
1
Suppose 5*i = 2*y + 222, -3*i - 2*i - 5*y = -250. What is the remainder when 179 is divided by i?
41
Suppose -4*a - 3*a = -336. What is the remainder when a is divided by 20?
8
Let f be (-62)/4 + (-2)/4. What is the remainder when (f/(-20))/(2/10) is divided by 2?
0
Suppose 0 = 3*c - p - 30, -3*c + 6*c + 3*p - 42 = 0. Suppose -31 = -4*i + 3*i. Calculate the remainder when i is divided by c.
9
Let s = 21 + -5. Let z = s + -5. Calculate the remainder when 426/21 + (-10)/35 is divided by z.
9
Let q(p) = p**2 + 5*p + 3. Let w be q(-3). Let v(d) = -6*d - 1. What is the remainder when v(w) is divided by 9?
8
Suppose x + 0*y = y + 26, -3*x - y + 82 = 0. Suppose v = x + 40. What is the remainder when v is divided by 23?
21
Let a(c) = c**2 - 4*c - 4. Let v be a(6). Let t be 21/12 + 2/v. Suppose 3*o - 65 = -t*o - 2*m, o - 3*m = -4. What is the remainder when 20 is divided by o?
9
Let v(l) be the third derivative of -l**5/60 + l**4/3 - l**3/6 - 8*l**2. What is the remainder when 30 is divided by v(6)?
8
Let n(u) = 3*u. Calculate the remainder when 58 is divided by n(5).
13
Suppose 4*x - 100 = -0*x. Let v = x + 6. Calculate the remainder when v is divided by (0 - -3)/(3/16).
15
Suppose -24 + 94 = 5*m. Let b(j) = -j**3 + 9*j**2 - 7*j + 6. What is the remainder when b(7) is divided by m?
13
Suppose -2*v = -5*i + 11, 2*v + 2*i = 6*v - 2. Calculate the remainder when (-344)/(-48) - 2/12 is divided by v.
1
Let f(a) be the second derivative of 4*a**2 + 0 + 4*a - 3/2*a**3. Calculate the remainder when f(-6) is divided by 21.
20
Let g(a) = -a**3 + a**2