ose u - 2*u = -6. What is the remainder when b is divided by u?
3
Suppose 0 = -0*j - 2*j + 14. Let a(t) = -t**2 - 7*t + 2. Let k be a(-6). Suppose -r + k + 12 = 0. Calculate the remainder when r is divided by j.
6
Let f(i) be the third derivative of i**4/4 - i**3/2 - 4*i**2. Calculate the remainder when 24 is divided by f(2).
6
What is the remainder when 82 is divided by 28 + 0 + 0/(-2)?
26
Let s be 4 + -1 + -2 + 4. Suppose 4*v = 9*v + s. Let m(h) = -7*h. What is the remainder when m(v) is divided by 2?
1
Suppose -4*f + 6*f = 3*m + 21, -3*f + 27 = -3*m. Let b(t) = t + 3. Let v be b(7). Let r = 14 - v. What is the remainder when f is divided by r?
2
Suppose -5*p = 4 + 6. Let k(y) = -20*y - 3. What is the remainder when k(p) is divided by 10?
7
Suppose 2*n = -3*n + 10. Suppose 30 = n*f + 6. Calculate the remainder when (-2)/4*(-32*2 + -4) is divided by f.
10
Let r(n) = -2*n - 8. Let m(j) = 13*j - 2. Let z be m(-1). What is the remainder when 85 is divided by r(z)?
19
Let n be (-2)/5*(-90)/(-18). Calculate the remainder when 822/12 - n/4 is divided by 24.
21
Suppose -159 = -7*g - 40. Calculate the remainder when g is divided by 7.
3
Suppose -b - b + 4*w + 220 = 0, 3*b - w - 310 = 0. What is the remainder when b is divided by 26?
24
Let y(n) = n + 12. Let u be y(-8). What is the remainder when 59 is divided by 78/u + 4/8?
19
Let s(l) = l - 1. Let i be s(5). Suppose -i*v = v - 15. Calculate the remainder when 4 is divided by v.
1
Let w(g) = 4*g - 3. Let a(z) = z**2 + 9*z + 12. What is the remainder when w(6) is divided by a(-9)?
9
What is the remainder when ((-192)/56)/((-2)/28) is divided by 17?
14
Suppose 3*n + 41 = m, n = -2*m - 2*m + 99. What is the remainder when m is divided by 8?
2
Let a(c) = -19*c + 34. What is the remainder when a(-6) is divided by 30?
28
Let p(n) = n + 2. Calculate the remainder when (-1 - 3)*34/(-8) is divided by p(4).
5
What is the remainder when 44 is divided by ((-46)/(-4))/((-6)/(-12))?
21
Let j be (2 - -4)*3 - 2. Let m = 19 - j. Calculate the remainder when 5 is divided by m.
2
Suppose 5 = -x, 2*f + 2*x + 22 = 5*f. Suppose -3*j = 4*w - 362, -w = f*j - 17 - 457. What is the remainder when j is divided by 30?
28
Let b = 42 + -29. Calculate the remainder when (74/(-3))/(22/(-33)) is divided by b.
11
Let c = 11 - 6. What is the remainder when 24 is divided by c?
4
Let a = 64 - 14. Suppose -35 = -2*s + 5*u, 2*s + 4*u = 6 + 2. Let z(h) = h**3 - 11*h**2 + 12*h - 3. Calculate the remainder when a is divided by z(s).
16
Let w(j) = j. Suppose -q + 13 = p, -3*p + 41 + 33 = -4*q. What is the remainder when p is divided by w(5)?
3
Suppose 5*m + 2*i - 175 = 0, -m + 4*i = 2*i - 35. Calculate the remainder when m is divided by 4.
3
Suppose 59*m - 56*m = 99. What is the remainder when 130 is divided by m?
31
Let m = 3 - 1. Let b be (-1 + -3 + 4)*(-1 - 0). Suppose 5*l = 5*y + 5, b*l - m*y + 14 = 2*l. Calculate the remainder when 7 is divided by l.
3
Let y = 18 + 6. Suppose -3*i - i + y = 0. Calculate the remainder when 16 is divided by i.
4
Let q be -3 - 2/(-4)*-2. Calculate the remainder when 38 is divided by 3/6 + (-50)/q.
12
Let j(w) = w**3 + 8*w**2 + 2*w - 9. What is the remainder when j(-7) is divided by 15?
11
Let r(c) = 2*c - 34. What is the remainder when 165 is divided by r(23)?
9
Suppose -4*b = -4, 0*c + 3*b = -c - 6. What is the remainder when 43 is divided by -3*(-3)/c*-11?
10
Let f(v) = -v**3 + 4. Let d(h) be the second derivative of -h**4/6 - h**2/2 + 2*h. Let s be d(-1). Calculate the remainder when f(s) is divided by 11.
9
Let a(p) = 14*p - 2. Let k(o) = 2*o + 5. Let v be k(10). Suppose 2*m = 5*c - 64, 2*c - m = -0*c + v. What is the remainder when a(2) is divided by c?
12
Let u be (76/16)/(2/8). Suppose 5*y = 4*n - 13, -n + 2*n + 4*y = u. Suppose q - n = -0. Calculate the remainder when q is divided by 4.
3
Suppose -69 - 11 = -5*p - 4*k, -2*p + k + 32 = 0. Calculate the remainder when p is divided by 9.
7
Let w = -8 + 35. What is the remainder when w is divided by 15?
12
Let p(y) = y**3 - 6*y**2 + 7*y - 6. What is the remainder when 6 is divided by p(5)?
2
Let s be 2 + (0 - 1) + -2. Let b be (12/(-15))/((-2)/15). What is the remainder when b - s - 3 - -3 is divided by 5?
2
Suppose 3*f + 4 - 70 = 0. What is the remainder when f is divided by 12?
10
Let v(z) = -2 + z + 0 + 2. Let r be 24/(-10)*(-50)/20. Calculate the remainder when 9 is divided by v(r).
3
Calculate the remainder when 2 - 51*(3 + -4) is divided by 28.
25
Let d = 121 - 94. Suppose -84 = -5*k - 14. What is the remainder when d is divided by k?
13
Suppose -34 = -5*v + 56. Calculate the remainder when 53 is divided by v.
17
Let s = -18 + 21. Suppose 7 = -i - 2*p - 2*p, 24 = 3*i + s*p. Calculate the remainder when 50 is divided by i.
11
Suppose l = -l + 2, 4*i - 4*l = 64. Calculate the remainder when 50 - (-1 + (-2 - -3)) is divided by i.
16
Let o(b) = -2*b + 1. What is the remainder when 41 is divided by o(-12)?
16
Let p(q) = q**2 + 6*q + 2. Let n = -3 + 9. What is the remainder when n is divided by p(-6)?
0
Let t(w) = 5*w + 3*w**2 - 1 + w - 5*w. What is the remainder when 50 is divided by t(2)?
11
Let o = 440 + -305. Let a = 289 - 255. What is the remainder when o is divided by a?
33
Let f = 39 - 26. What is the remainder when f is divided by 5?
3
Let g(v) = 3*v - 33. Let p be ((-4)/(-6))/(4/6). Calculate the remainder when 2*4 + p/(-1) is divided by g(12).
1
Let w(j) = 9*j + 5. Let p(z) = -z**3 - 3*z**2 + 4*z - 10. Calculate the remainder when w(6) is divided by p(-5).
19
Let k be -4*(-12 - (3 + -5)). Suppose -2*v = -2*u + 14, 2*v - k = -4*u + 3*v. What is the remainder when u is divided by 6?
5
Let b = -26 - -5. Let w = b + 46. What is the remainder when w is divided by 2/2 - (0 + -8)?
7
Suppose 6*b - 85 - 17 = 0. What is the remainder when (3 - 55)*(-10)/8 is divided by b?
14
Let t = 46 - -69. Suppose -d - 4*d = -t. What is the remainder when d is divided by 6?
5
Suppose -3*t - 22 = -5*t. Calculate the remainder when t is divided by 6.
5
Suppose 3*c = v - 42, 0 = 2*v + v + 3*c - 186. Let a(r) = 5*r**3 - 4*r**2 + 2*r + 1. Calculate the remainder when v is divided by a(2).
28
Suppose 283 = -2*h - w, -3*w - 489 = 5*h + 216. What is the remainder when 51 is divided by (-1 - 0)/(8/h)?
15
Let r = 0 + 3. Let y(p) = -p**3 + 7*p**2 + 5*p + p**3 + p**r. Calculate the remainder when y(-5) is divided by 9.
7
Let z(c) = c**2 - 11*c + 13. Let b = -7 - -18. Let y = 15 - -9. Calculate the remainder when y is divided by z(b).
11
Let o(k) = 3*k + 6*k**2 - 4*k**2 - 2*k + 3*k**2 - 1. Let w be o(1). Suppose 3*d - w*d + 18 = 0. What is the remainder when d is divided by 3?
0
Let h = -27 + 80. What is the remainder when h is divided by 14?
11
Let q(j) = 2*j**2 - 29*j + 17. Let t(v) = -v**2 + 15*v - 9. Let x(c) = -3*q(c) - 5*t(c). What is the remainder when 12 is divided by x(11)?
2
Let o(a) = -3*a - 4. What is the remainder when o(-6) is divided by 6?
2
Calculate the remainder when 11 is divided by (14/(-8))/((-9)/36).
4
Suppose 3*c + 2 + 10 = 0. Suppose -4*s = -13 - 39. Calculate the remainder when (c/(-5))/((-2)/(-60)) is divided by s.
11
Let i(f) = -f**3 - 5*f**2 - 3*f - 3. Suppose 2*u + 5*s = -17, -u = u + 4*s + 16. Calculate the remainder when i(u) is divided by 18.
15
Suppose 0 = -5*a + 2*x + 161 + 2, 0 = -2*a + 2*x + 70. Calculate the remainder when 92 is divided by a.
30
Let x(c) = c**2 + 19*c - 11. Let g(f) = f**2 + 10*f - 6. Let a(k) = 11*g(k) - 6*x(k). What is the remainder when a(3) is divided by 9?
6
Suppose q = 2*q - 11. Let x be 2 - 0*1/(-2). Suppose -5*b = 5*n - 80, x*b - 5*n = -0*n + 67. Calculate the remainder when b is divided by q.
10
Suppose -3*y + 4 + 11 = 0. Suppose -3*m = -130 - y. What is the remainder when m is divided by 12?
9
Suppose -6*j + 14 = -28. Calculate the remainder when 19 is divided by j.
5
Let u(f) = 5*f**2 - 11*f + 4. Let i(p) = 2*p**2 - 5*p + 5. Calculate the remainder when u(6) is divided by i(5).
28
Suppose 0*i = 4*i - 72. Let q = i + 16. Calculate the remainder when q is divided by (-98)/(-8) + 2/(-8).
10
Let v = 64 - 39. Let p(i) = -i**3 - i + 7. Calculate the remainder when v is divided by p(0).
4
Suppose 3*i + 80 = 3*b + 11, 3*i + 45 = 2*b. Calculate the remainder when 67 is divided by b.
19
Suppose 3*w = -5*u - 66, 0 = -0*w