r when c is divided by a.
16
Let s(k) be the first derivative of -2*k**2 - k + 2. What is the remainder when 7 is divided by s(-1)?
1
Let u be (1 - 4) + (-1690)/(-10). Suppose 5*x = 2*i + u, i + i + 102 = 3*x. What is the remainder when x is divided by 11?
10
Suppose 0 = 5*q + 10, 0*w + w + 2*q - 35 = 0. Calculate the remainder when w is divided by 118/6 + 2/6.
19
Let u(m) = 4*m**2 - 5*m - 3. Let q(r) = r**2 + 7*r + 9. Let j be q(-4). What is the remainder when u(j) is divided by 13?
9
Let w(u) = -15*u. Let m(b) = -b**3 - 2*b**2 + b - 165. Let g be m(0). Calculate the remainder when 8/5*g/(-6) is divided by w(-1).
14
Let b(q) = q**2 + q + 6. Let a(j) = -j**2 - 6. Let z(k) = 3*a(k) + 4*b(k). What is the remainder when 35 + -3 + (1 - 1) is divided by z(-5)?
10
Suppose 4*g = 3*g - 2*h + 27, 3*h = 3. Suppose -13*z - 108 = -16*z. Let s = z - g. What is the remainder when 20 is divided by s?
9
Calculate the remainder when 2/(-3*2/(-63)) is divided by 12.
9
Let i(w) = w**3 - 12*w**2 + 14*w - 7. Suppose 2*x - 2*c = -0*x + 30, c = -2*x + 18. Calculate the remainder when 102 is divided by i(x).
24
Suppose 0 + 9 = 3*k. Suppose 2*l = -1 + k. Let v(f) = 12*f**2 - f. What is the remainder when 32 is divided by v(l)?
10
Let b(n) = -n**3 - n**2 - 3*n + 1. What is the remainder when 110 is divided by b(-3)?
26
Let s be 27/4 + 1/4. Let l(h) = -h**3 + 8*h**2 - 7*h + 9. What is the remainder when l(s) is divided by 4?
1
Suppose 4*o + 0*o = 12. Let v = 0 + o. Suppose p - v*p = -42. Calculate the remainder when p is divided by 11.
10
Let c(g) = 8 - 3*g + 1 + 4*g. Let n be (-13)/(-39) - 26/(-3). What is the remainder when 52 is divided by c(n)?
16
Let c(a) = -a**3 + 3*a**2 + 5*a - 6. Let k = 40 - 5. What is the remainder when k is divided by c(3)?
8
Let c(d) = d**2 - 10*d + 13. Let i be c(9). What is the remainder when 43 is divided by (-836)/(-36) - i/18?
20
Suppose 2*r = 4*b - 12, 3*b = -r + 3*r + 8. Suppose -15 = r*k - 43. What is the remainder when 41 is divided by k?
13
Suppose -o + 5*t + 35 = 4*o, 3*o - 31 = 5*t. Suppose -o = -3*s + 52. Suppose -w - 17 - 10 = -4*v, 0 = 5*w - 5. Calculate the remainder when s is divided by v.
4
Let x be (-160)/28 + 2/(-7). Calculate the remainder when ((-126)/(-49))/(x/(-56)) is divided by 13.
11
Let y(v) = v**3 - 4*v + 3. Let s be y(3). Let t = s + -10. Calculate the remainder when 13 is divided by t.
5
Let r = -9 - -15. Calculate the remainder when (34/5)/(4/10) is divided by r.
5
Suppose 128 = z + 3*z. Suppose -2*q + 4*q = z. Suppose 64 = 2*n - 4*r, 2*n - 46 = 2*r + q. Calculate the remainder when n is divided by 8.
6
Let y = 26 - 0. Suppose -d + 4*d - 28 = -4*g, -y = -g + 4*d. Calculate the remainder when 17 is divided by g.
7
Let s = -8 + 11. Let n(i) = i**3 + 5*i**2 - 6*i + 4. Let f be n(-6). What is the remainder when 23 is divided by 2*f + -3 + s?
7
Let r(k) = 2*k**3 - 3*k**2 + 2*k - 2. Calculate the remainder when 183 is divided by r(3).
28
Let s(p) = -p**2 + 5*p - 2. Let k be s(6). Let z(f) = f**3 - 4*f + 1. Calculate the remainder when ((-18)/k)/((-6)/(-80)) is divided by z(3).
14
Let n(y) = y + 5. Let j be n(-2). Let r = 13 - 9. Calculate the remainder when j/(-6) - (-130)/r is divided by 11.
10
Suppose -3*f = -6, 3*z - f = -z + 70. Calculate the remainder when z is divided by 6.
0
Let t(w) = -5*w - w**2 - 47 + 33 + 16*w. What is the remainder when t(6) is divided by 9?
7
Let a = 12 - 9. Suppose -2*q + 93 = q + a*j, -4*j + 20 = 0. Calculate the remainder when 76 is divided by q.
24
Suppose -5*k = -214 - 71. What is the remainder when (k/(-12))/(1/(-4)) is divided by -2 + 12*(0 + 1)?
9
Suppose -3*q = -5*t + 26, -q + 2 = -4*t + 20. What is the remainder when t is divided by 3?
1
Let d(p) = p**2 - 4*p - 2. Suppose h - 5*h = -224. What is the remainder when h is divided by d(7)?
18
Suppose 481 = 13*h - 52. What is the remainder when h is divided by 22?
19
Let y(f) = f**2 + 5*f + 6. Let z be y(-4). Let b(v) = -v - 2 + 4*v - 1. What is the remainder when 5 is divided by b(z)?
2
What is the remainder when 15/6*(-176)/(-10) is divided by 12?
8
Let c be 10*1/6*6. Let f(s) = -s**2 - 11*s - 10. Let x be f(-7). Let m = x - c. Calculate the remainder when 30 is divided by m.
6
Suppose -5*x = 3*t - 68, 3*x = t + 3*t + 64. What is the remainder when 28 is divided by x?
12
Let z = 44 + -18. Suppose 0*d - 5*d = 4*g - 231, 3*d + 2*g - 137 = 0. Suppose 13 = 4*w - d. Calculate the remainder when z is divided by w.
12
Let w = 17 - 17. Suppose 8 = 2*o - w*o. Let s = 7 + -1. What is the remainder when s is divided by o?
2
Let k = 9 - 6. Suppose 3*s + 1 = n, -3*s + k = -0. Suppose 4*m + d - 65 = -4*d, -65 = -5*m - 3*d. Calculate the remainder when m is divided by n.
2
Let w(u) = 2*u**2 - 4*u + 1. Suppose 5*p - 10 = 2*m, -4*p = -m - 0*m - 11. Calculate the remainder when 65 is divided by w(p).
14
Suppose 5*m + 2*b = 3*b + 16, m - 24 = -5*b. Let r = -6 - -7. Calculate the remainder when (0 + r)*(10 + 1) is divided by m.
3
Let y(i) = -4*i + 3. Let j be y(3). Calculate the remainder when 37 is divided by (-88)/j + 8/36.
7
Let r(o) = -1 - o - 4*o**2 + 2*o**2 + 6*o**2. Suppose 19 = 3*w + 22. What is the remainder when 10 is divided by r(w)?
2
Let f = 48 + -86. Suppose 2*n - 39 - 71 = 0. Calculate the remainder when n is divided by f/(-1)*(-1)/(-2).
17
Suppose s = 3*s - 4. Calculate the remainder when s is divided by 0 + 5 + -1*(3 + 0).
0
Let b(f) = 15*f. Let w be (-2)/(-1 - (-14)/18). Suppose k + 1 = w. Calculate the remainder when b(1) is divided by k.
7
Let g = -61 - -81. What is the remainder when 138 is divided by g?
18
Let x be -3*(-6)/9*2. Suppose -s + x*d = 3*d - 60, 2*d - 54 = -s. Let u = -31 + s. Calculate the remainder when u is divided by 14.
13
Suppose -w + 2 = -2. Suppose 0 = 2*d - w. What is the remainder when 26 is divided by 0 + 28/(d + 0)?
12
Let z = -106 + 314. Calculate the remainder when z is divided by 35.
33
What is the remainder when 35 is divided by 0 - -1*(18 - 0)?
17
Suppose -6 + 14 = r. Suppose -5*t + 2*t = -18. Let o = r - t. What is the remainder when o is divided by 1?
0
Let x = 10 - 7. Calculate the remainder when 3 is divided by x.
0
Let a(b) = b**3 + 7*b**2 - 9*b - 4. Suppose -4*t - 20 = -3*q, -24 = 3*t + t - 2*q. Let g = 2 - -1. Calculate the remainder when a(t) is divided by g.
1
Let l = 7 - 5. Suppose -4*y - 4*j + 216 = 0, l*j - 131 - 127 = -5*y. What is the remainder when y is divided by 13?
11
Let n = -2 - -5. Suppose -37 = -3*c - 5*p, -2*p + 2 = c - 3*c. What is the remainder when c is divided by n?
1
Let f = -151 + 183. Calculate the remainder when f is divided by 6.
2
Let l = 0 - 2. Let c(r) = 2*r**2 - 2. Calculate the remainder when c(l) is divided by 3.
0
Let q = 0 + 0. Suppose q = 5*o + 4*v - 70, -3*v + 54 = 4*o - 3. Suppose 3*a - o = -0*a. What is the remainder when a is divided by 4?
2
Suppose -5*h + 137 = 22. Calculate the remainder when h is divided by 13.
10
Let o = -5 - 3. Calculate the remainder when (-140)/(-6) + o/(-12) is divided by 13.
11
Let i(v) = -v**3 + 10*v**2 + 14*v - 17. Calculate the remainder when i(11) is divided by 11.
5
Let x(g) = -4*g + 1. Let u be x(-1). Suppose -8*y = -3*y - 540. Suppose -u*v - 2*f = -y, -3*v - 12 = -4*v + 2*f. What is the remainder when v is divided by 7?
6
Let x = 9 + 8. Calculate the remainder when 33 is divided by x.
16
Suppose 0 = -4*x - 5*b + 120, -x - 2*b = 4*x - 167. Let n be (-4)/(-10) - (-2240)/25. Suppose 0 = -0*p - 5*p + n. What is the remainder when x is divided by p?
17
Let a = 155 + -110. What is the remainder when a is divided by 12?
9
Let s(v) = v**2 - 9*v + 9. Let p be s(6). What is the remainder when 8 is divided by (-1)/(3/p) - -2?
3
Suppose 2*p = 2*w + 2, 0*p + 5 = 2*p + w. Suppose p*d = 22 + 26. Calculate the remainder when 70 is divided by d.
22
Let y(o) = -o**3 - 2*o**2 - 2. Let l = -28 + 25. Calculate the remainder when 27 is divided by y(l).
6
Suppose -m = 8*l - 9*l, -5*m = -2*l - 15. Let z = -6 - -10. Calculate the remainder when m is divided by z.
1
Let u = 199 + -167. Calculate the remainder when u is divided by 7.
4
Let x be 363/11 - (0 - -3). Suppose 2*i = -f + 10 + 5, -x = -f - 5*i. Let v = -7 - -21. What is the remainder when v is divided by f?
4
Let p(o) = 2*o. Let j be p(2). Suppose 0 = -d + j*c - 5*c + 1, -3*c - 6 = 0. 