w - 5 = -26. What is the remainder when 79 is divided by w?
16
Suppose 0 = -2*u + 4 + 6. Suppose -3*a = u*q + 13, a + 17 = -4*q + 1. Let f = a - -2. Calculate the remainder when 11 is divided by f.
5
Suppose 4*p - 3*p = 1. Suppose 0*z = z - 3. What is the remainder when z is divided by p?
0
Let m(f) be the second derivative of -f**5/20 - f**4/4 - f**3/6 - 5*f**2/2 - f. What is the remainder when 28 is divided by m(-4)?
13
Let w(x) = x**3 + x**2 + x - 1. Let o(v) = -v**2 - 6*v + 8. Let b be o(-7). What is the remainder when w(1) is divided by b/(1 - 2/4)?
0
Calculate the remainder when (-9 + 47)/((-4)/(-6)) is divided by 15.
12
Suppose -4*q + 2*n + 6 = 0, 9 = 4*q - n + 2*n. Suppose -4*u = c - 76, 26 = 4*u - q*c - 50. Calculate the remainder when u is divided by 10.
9
Suppose -3*o = 3 - 12. Let y = 8 - 4. Suppose 142 = 5*l - o*k, y*l - 4*k - 90 - 30 = 0. What is the remainder when l is divided by 14?
12
Suppose 4*u - 2*w - 523 = w, -u + 3*w + 142 = 0. Calculate the remainder when u is divided by 16.
15
Suppose 0 = 4*t + 5*o + 3, 2*t = 3*o + 15. Let d = 0 + t. Calculate the remainder when (2 - 0)*(-20 + 24) is divided by d.
2
Let o be (-78)/(-5) - (-4)/10. Suppose -3*t - 4 + o = 0. Suppose 0*g + 22 = 2*g. Calculate the remainder when g is divided by t.
3
Let j be 0 + 6 - (-2)/(-1). Suppose y + 44 = 4*y - z, -j*z = y + 7. What is the remainder when 5/10*(2 + 72) is divided by y?
11
Let w = -99 - -162. What is the remainder when w is divided by 22?
19
Suppose -2*b + 3*q + 2 = -20, -3*q - 37 = -5*b. Suppose 2*y - 6*c + 4*c = -66, 0 = -c - 2. Let k = 54 + y. Calculate the remainder when k is divided by b.
4
Calculate the remainder when (-5)/(10/(-4)) - -45 is divided by 24.
23
What is the remainder when 3 - (-28)/(-8)*-24 is divided by 45?
42
Suppose -k + 17 = -8. Let s(c) = -2*c**3 + c - 1. What is the remainder when k is divided by s(-2)?
12
Suppose 3*m = 3 - 0. Suppose m = f - 8. What is the remainder when 35 is divided by f?
8
Let o(v) = -2*v - 1. Let a = 3 + -4. What is the remainder when 3 is divided by o(a)?
0
Suppose -3*s - s + 24 = 0. Suppose s = 5*d - 24. Let f(r) = r**2 - 5*r + 9. What is the remainder when f(6) is divided by d?
3
Suppose -5*w = q + 18, -7*q - 40 = -12*q + w. Calculate the remainder when 26 is divided by q.
5
Let c(x) = 149*x + 1. Let k be c(-1). Let f = k - -287. Suppose -3*p + f = p + g, -62 = -2*p + 2*g. What is the remainder when p is divided by 18?
16
Suppose -f + 0*f = -2*u - 2, -5*f - 22 = -2*u. Suppose o + 52 = 5*v - 31, 0 = 2*v + 3*o - 23. What is the remainder when v is divided by (f - -1)*(-24)/20?
4
Suppose w = 7 + 9. Calculate the remainder when 44 is divided by w.
12
Let k = -13 + 15. What is the remainder when k/5 + 86/10 is divided by 3?
0
Suppose 0 = 5*o + 5*a - 1395, 0 = -2*o - 3*a + 21 + 541. Calculate the remainder when o is divided by 46.
45
Let g be (-12)/(-8) - (-6)/4. Let y be 198/(g*(-1)/(-2)). Suppose -5 = c, 4*q = 3*c + c + y. Calculate the remainder when q is divided by 10.
8
Let l(t) = t**2 + 16*t - 5. What is the remainder when l(-19) is divided by 19?
14
Let d = -1 + 1. Suppose 5*m - 5*q - 30 = d, 4*m = -0*m - 2*q. Suppose 0 = -3*g + m*g + 29. What is the remainder when g is divided by 15?
14
Let v(p) = 2. Let w(b) = b - 1. Let m(f) = 2*v(f) + 3*w(f). Let d be (1 - 2) + (2 - -1). Calculate the remainder when 27 is divided by m(d).
6
Let s(w) = w**2 + 7*w + 5. Let h be s(-7). Suppose 0 = -4*p + z + 51, -h*p + z = -3*z - 50. Calculate the remainder when (5/2)/((-2)/(-20)) is divided by p.
11
Let c(s) = s**2 + 5*s + 3. Calculate the remainder when c(-9) is divided by 10.
9
Suppose 3*b = -b + 40. Suppose -5*c = -46 - 44. What is the remainder when c is divided by b?
8
Suppose h - 41 + 16 = -m, 0 = -5*m + 3*h + 85. Let l = -1 - -1. Let o(g) = -g**3 - g**2 + g + 38. What is the remainder when o(l) is divided by m?
18
Let m(x) = 7*x - 16. What is the remainder when m(7) is divided by 17?
16
Let i be -2 - (-1)/((-2)/(-68)). Let z = -22 + i. Let g = 3 + 3. What is the remainder when z is divided by g?
4
Let z be (-29)/(-4) - (-3)/(-12). Suppose -z = -5*k + 3. Suppose k*x = 24 + 16. Calculate the remainder when x is divided by 7.
6
Suppose -6*o = -2*o - 24. Let c(d) = 1 + 4*d + d**2 + 0*d**2 - o + 1. Calculate the remainder when 22 is divided by c(-6).
6
Let m(o) be the second derivative of o**5/20 - o**4/12 + o**3/6 + 8*o**2 + o. Calculate the remainder when m(0) is divided by 6.
4
Let x(u) be the third derivative of u**5/60 - u**4/8 - u**3 + 4*u**2. Suppose 2 = -4*s + 90. Calculate the remainder when s is divided by x(6).
10
Suppose 18 = 3*a + 3. Suppose -3*x + 36 + 18 = a*h, -2*x = 5*h - 36. What is the remainder when 35 is divided by x?
17
Suppose 4*h = 4*g + 24, 2*h + 4*g = -3*h + 3. Suppose 0 = h*d - 81 - 6. What is the remainder when d is divided by 10?
9
What is the remainder when 3 - (2 + 1)/1 - -95 is divided by 33?
29
Let h = 15 - -5. What is the remainder when 79 is divided by h?
19
Let z(f) = f - 7. Let q be z(7). Suppose -9 = -4*l + 3*t, q*l = -3*l - 5*t + 14. What is the remainder when 11 is divided by l?
2
Suppose l - 6 = -1. Suppose -4*m + 10 = -q, -3*m = -4*m - 3*q - 4. Suppose -m*b - 3*f = 3*b - l, -4*f = 20. What is the remainder when 6 is divided by b?
2
Suppose -29 = -4*k + 223. Let x = k + -42. Calculate the remainder when x is divided by (-2*11)/(-7 - -5).
10
Let h = 19 + -10. Calculate the remainder when 35 is divided by h.
8
Suppose 5*g = i + 67, 0 = 2*g - 3*g - 4*i + 26. Calculate the remainder when 53 is divided by g.
11
Let a(x) = x**2 + 7*x + 7. Let c be a(-5). What is the remainder when (c/6)/((-2)/28) is divided by 4?
3
Let t(y) = y**2 - y + 17. Let o be t(0). Let g = o - -3. Calculate the remainder when 645/g + 2/(-8) is divided by 11.
10
Let t(v) = v - 1. Let a be t(-1). Let r(y) = -y**3 + y**2 - 2*y - 3. What is the remainder when r(a) is divided by 7?
6
Let k = 43 + -27. Suppose -a = 0, 4*o = -2*a - a + k. Calculate the remainder when 2 + (6 - -1) + 2 is divided by o.
3
Let v = 41 + -30. What is the remainder when 53 is divided by v?
9
Let w(t) = -t + 5. Suppose 2*h - 3 = -7, -10 = 4*p + 5*h. What is the remainder when (-6 + 5)/(2/(-28)) is divided by w(p)?
4
Suppose -7*j = -3*j. Suppose j = -3*g - g + 16. Suppose o + 29 = 2*s, 2*s - 56 + 22 = -4*o. Calculate the remainder when s is divided by g.
3
Suppose 0 = k - 14 - 21. Let i(u) = -u**2 + 2*u + 3. Let p be i(3). Suppose p = -z + 2*z - 12. Calculate the remainder when k is divided by z.
11
Let r(k) = -k**2 - 7*k - 4. Calculate the remainder when -3 + (1 - (1 - 19)) is divided by r(-5).
4
Suppose 3*s = -16 + 4. Let j be (0 + 0 + s)*2. Let m(t) = -t**3 - 7*t**2 + 9*t + 12. Calculate the remainder when 7 is divided by m(j).
3
Suppose -79 = 5*b - 3*t, 0 = 2*b + 3*t - 2*t + 36. Suppose -3*d + 5 = 32. Let y = d - b. Calculate the remainder when 15 is divided by y.
7
Let v = 1 + 1. Suppose k - 11 = -z, v*k - 3*k - 5 = 5*z. Calculate the remainder when 29 is divided by k.
14
Suppose 3*x = 4*q - 23, -q + 16 = -5*x - 11. Suppose -q*k - 4 = -4*k. Calculate the remainder when k/3 - (-245)/15 is divided by 9.
8
Suppose 5 = -5*u, 3*u - 37 = -5*m + 5*u. Calculate the remainder when 2 is divided by 4/14 - (-12)/m.
0
Let j(n) = -4*n + 6. Let q be j(-5). Let d = q - 15. What is the remainder when 43 is divided by d?
10
Suppose -2*z = -11*z + 1242. Calculate the remainder when z is divided by 29.
22
Suppose -3*l + a = -10, l = -2*l - a + 14. Calculate the remainder when 29 is divided by 60/l - (-2 + 1).
13
Let j = 12 - 9. Suppose -j*s + 147 = -0*s. Calculate the remainder when s is divided by (-66)/(-4) + (-1)/(-2).
15
Let t = -32 - -50. Let n = -106 + 159. What is the remainder when n is divided by t?
17
Let d = 5 - -3. Suppose 0 = 6*v - 30 - 144. Calculate the remainder when v is divided by d.
5
Suppose -k + 54 + 2 = 0. What is the remainder when k is divided by 15?
11
Suppose -134 = 5*q - 384. Calculate the remainder when q is divided by 19.
12
Let x = -81 - -106. What is the remainder when 48 is divided by x?
23
Suppose -4*q + 12 = -5*u - 26, 2*q + u - 12 = 0. Calculate the remainder when 13 is divided by q.
6
Suppose 0 = -5*f - 15, 8*z = 3*z + 5*f + 215. What is the remainder when z is divided by 21?
19
Let x = -3 + 2. What