e remainder when 32 is divided by z?
6
Suppose 2*h + 52 = 4*d, -4*h + 39 = 3*d - 7*h. Suppose -12 = -o - 4. Calculate the remainder when d is divided by o.
5
Let n(a) = -a**3 - 7*a**2 + 7*a + 6. Let x be n(-8). Let v(z) = -z**2 + 14*z + 6. What is the remainder when 22 is divided by v(x)?
4
Let m(t) = 15*t + 2. Let g be m(2). Suppose 4*v = -z + 13, -2*v + 33 = 5*z - g. Calculate the remainder when 24 is divided by z.
11
Let l = -41 + 94. Let i(x) = x**2 - 11*x + 14. Calculate the remainder when l is divided by i(11).
11
Suppose 44*r = 52*r - 216. Suppose 4*w - 5*g + 20 = 0, w - 4*g + 14 = -2. Suppose 3*l - 42 = -w*l. What is the remainder when r is divided by l?
13
Let m = 1 + -7. Let z(g) = g**3 + 8*g**2 + 8*g - 2. What is the remainder when z(m) is divided by (24/15)/1*5?
6
Suppose -4 - 2 = 3*d. Let w(h) = -h**3 + h**2 - 2. What is the remainder when w(d) is divided by 4?
2
Let z be (-992)/(-6) - 6/(-9). Let u = 242 - z. Calculate the remainder when u is divided by 0 + -2 + -3 + 31.
24
Suppose -b = 5*y + 3*b, -2*y - 12 = 4*b. Suppose y*z + 3*r = 77, 2 + 1 = -3*r. What is the remainder when z is divided by (-56)/(-5) + (-3)/15?
9
Suppose -2*v - 5*o = v, v = 4*o. Suppose -4*t + 98 - 14 = v. What is the remainder when t is divided by 8?
5
Suppose t + 2*f - 6 = 0, -f = -4*t - t + 74. Suppose 5*o - 2*s - t = 13, -5*o - 2*s = -43. Calculate the remainder when 19 is divided by o.
5
Let w(f) = f - 1. Let l be w(-2). Let a(q) = -87*q - 4. Let j be a(l). Suppose -5 = -5*y, j = 5*r - 4*y + y. Calculate the remainder when r is divided by 18.
16
Let s(m) = m**3 + 6*m**2 - m - 1. Let x be s(-6). Suppose 0*i + 5*i = -5*v + 25, -4*v + x*i + 2 = 0. Calculate the remainder when v is divided by 2.
1
Let x be (0 - -1)*(-2 - -4). Suppose -x*f - 195 = -3*p, 4*p - 5*f = 214 + 46. Calculate the remainder when 37 is divided by 1*4*p/20.
11
Calculate the remainder when 2*(35 - 4)/1 is divided by 22.
18
Suppose 2*c = -9*o + 7*o + 52, 3*o - 48 = 3*c. What is the remainder when o is divided by 2?
1
Suppose u - 47 = -4*u + 4*v, -u + 1 = 2*v. Calculate the remainder when 13 is divided by u.
6
Suppose -15*i = -7*i - 464. What is the remainder when i is divided by 12?
10
Suppose 4*g = 2*w - 0*g - 36, -4*w + 46 = 5*g. Calculate the remainder when (-1272)/(-32) + (-3)/4 is divided by w.
11
Let u = 1 - 2. Let n = 11 + u. Calculate the remainder when n is divided by 6.
4
Suppose 3*m - a - 64 = 0, -3*a - 37 = -2*m - 8*a. Calculate the remainder when m is divided by 6.
3
Calculate the remainder when 56 is divided by (-2)/(-5) - 588/(-30).
16
Let b = 4 + -2. Let h(s) = s**3 - 2*s - 1. Let z be h(-1). What is the remainder when 2 - z*(-3)/(-9) is divided by b?
0
Suppose -n = -2*n. Let s(m) = 72*m**2 + m - 1. Let d be s(1). Suppose 7*b - 4*b - d = n. Calculate the remainder when b is divided by 13.
11
Let z(o) = -o**3 - 6*o**2 - 4*o + 1. Let s be z(-6). Let m = s - -6. What is the remainder when m is divided by 17?
14
Let f = 62 - -1. Calculate the remainder when f is divided by 34.
29
Let u be (0 - (-1)/(-1)) + 6. Suppose u*s - 8 = -y, 2*y - 6 = 2*s + 22. Calculate the remainder when 51 is divided by y.
12
Let a(p) = 8*p - 3. Let h(i) = 7*i - 4. Let r(u) = 3*a(u) - 2*h(u). What is the remainder when r(3) is divided by 10?
9
Let a be 9/(-6)*(-4)/(-6). Let v(f) = -9*f**3 - f**2 - 2*f - 1. Suppose -3*g + 7*g - 16 = 0. What is the remainder when v(a) is divided by g?
1
Calculate the remainder when 27 is divided by -3 - 54/(-10) - (-10)/(-25).
1
Suppose -5*m - 2*d + 606 = 0, -96 - 36 = -m + 5*d. Suppose m = 3*s - s + f, -3*s - 3*f = -183. What is the remainder when s is divided by 16?
13
Let d(j) = j**3 - 5*j**2 + j - 13. What is the remainder when 56 is divided by d(6)?
27
Let l(t) = 2*t**2 - 10*t + 12. What is the remainder when l(6) is divided by 7?
3
Let w(a) = -a + 2. Suppose -10 = r - 4. What is the remainder when 13 is divided by w(r)?
5
Suppose 3*g + g + 2*l = 270, 0 = -4*l - 20. Calculate the remainder when g is divided by 18.
16
Let a(c) = 3*c**2 - c - 1. Calculate the remainder when a(3) is divided by 6.
5
Let w be (-3 + -3 - 2) + 0. Let i(g) = 2*g + 0*g - 3*g + 7. What is the remainder when i(w) is divided by 8?
7
Let f = -97 + 61. Let v = 50 + f. Let k = -39 - -66. What is the remainder when k is divided by v?
13
Let v = 4 + 1. Let n = v - 1. Suppose 44 + 0 = n*x. Calculate the remainder when 20 is divided by x.
9
Let h(f) = -2*f + 3*f + 3*f - 6*f. Let v be h(-1). Calculate the remainder when 24 is divided by ((-46)/(-2) + 3)/v.
11
Let x = 55 - 28. Suppose 3*m + 45 = 5*d - 0*m, d + 3*m - x = 0. Calculate the remainder when 35 is divided by d.
11
Suppose 0*u = -5*x - 2*u + 60, -x - 5*u = -35. Calculate the remainder when 17 is divided by x.
7
Suppose -p = -4*f - 5*p - 52, 5*f - 2*p + 30 = 0. Calculate the remainder when (-270)/f + (-2)/(-8) is divided by 9.
7
Let m = -24 - 64. Calculate the remainder when m/(-6) - 1/(-3) is divided by 8.
7
Let g = -44 + 48. Let i(f) = 2*f - 2. Let x be 7*1*(-18)/(-21). What is the remainder when i(x) is divided by g?
2
Suppose 0 = -5*a - 3*h + 23 + 27, -h + 60 = 5*a. Calculate the remainder when 49 is divided by a.
10
Suppose -4*i = -56 + 12. Let r be 4/((-5)/(15/(-6))). Suppose r*d - 7*d + 95 = 0. Calculate the remainder when d is divided by i.
8
Suppose 0 = 2*s - 22. What is the remainder when 42 is divided by s?
9
Suppose -2*l + 530 = 3*l. Let z = l - 57. Calculate the remainder when z is divided by 13.
10
Let a = 34 + -24. Calculate the remainder when 17 is divided by a.
7
Suppose -g + 67 = -0*g. Suppose -j + 3*l + 66 = 2*j, 119 = 5*j + 4*l. Calculate the remainder when g is divided by j.
21
Suppose 0 = 3*s + 2*s - 30. Let g(r) = -r - 3. Let p be g(-6). Suppose p*t - 40 = -t. Calculate the remainder when t is divided by s.
4
Let y(d) = 2*d**3 + 7*d**2 - 1. Calculate the remainder when 30 is divided by y(-3).
6
Let a(v) = 18*v - 2. Let i(s) = s**3 - 2*s + 1. Let l be i(1). Suppose 0 = -3*g - l*g + 36. Calculate the remainder when a(2) is divided by g.
10
Let d(m) = 5*m**2 + 2*m + 4. Let w be d(5). Suppose 0*q = -2*q + 5*p + w, 4*p - 50 = -q. What is the remainder when q is divided by 21?
20
Suppose -3*s + 2 = -13. Suppose -2*h + 30 + 27 = 5*w, -s*h - 2*w + 90 = 0. Suppose 2*z - h = 12. Calculate the remainder when z is divided by 8.
6
Let o be 3/(-6)*12/(-3). Suppose -j + 30 = 2*c, 0*j + o*j - 2*c = 36. Suppose 0*s - s + 12 = 0. What is the remainder when j is divided by s?
10
Suppose 0 = -2*h - 0*h - 2. Calculate the remainder when (-1 + h)*40/(-16) is divided by 2.
1
Suppose -5*k + 3*c - 14 = -69, 4*c = 0. What is the remainder when 52 is divided by k?
8
Let o = 31 + -14. Calculate the remainder when o is divided by 11.
6
Let t(f) = 36*f - 1. Suppose 0 = -3*z + 4*r + 19, -r + 2*r - 1 = -5*z. What is the remainder when t(z) is divided by 12?
11
Let v(m) = -m**2 + 7*m - 2. Calculate the remainder when v(5) is divided by -2 + 3 + -1 + 5.
3
Let y = 1 - -2. Let d(u) = 7*u - 4. Let q = 151 - 102. Calculate the remainder when q is divided by d(y).
15
Suppose 4 = -v, h + 5*v = 5*h - 88. Calculate the remainder when 65 is divided by h.
14
Suppose 5*g + a - 2 = 0, 10 - 2 = -4*g - 4*a. Calculate the remainder when 2 is divided by g.
0
Let b = -10 - -17. Suppose -90 = -b*i + 2*i. Let u(a) = 12*a + 89. What is the remainder when u(-3) is divided by i?
17
Suppose -5*z + 0*z = 195. Suppose k - 5*x + 5 = -6*x, x + 21 = -3*k. Let n = k - z. Calculate the remainder when n is divided by 8.
7
Let r = 22 + 5. Suppose -l = -r + 7. What is the remainder when 79 is divided by l?
19
Suppose -29 = -2*m - 5*h, 17 = m + 2*h + 1. Suppose 3*v + 7 - m = 0, 0 = -2*t - 2*v + 48. What is the remainder when t is divided by (-21)/(-2) - (-2)/(-4)?
9
Suppose 3*n = 4*j - 13, -5*n = 3*j + 2*j - 60. What is the remainder when 39 is divided by j?
4
Suppose 4*h + 4*v + 6 = -2, -v + 4 = 0. Calculate the remainder when 10 is divided by h*1*(-7)/14.
1
Let q = 417 + -400. Let d(k) = k**2 - k + 8. Calculate the remainder when d(-6) is divided by q.
16
Let j = 6 + -1. Let o(a) = a - 2. Suppose 0 = -x + 4*x - 27. Calculate the remainder when o(x) is divided by j.
2
Suppose 0 = -2*l - 2*x + 126, l + 2*x = -0*x + 67. What is the remainder when l is divided by 15?
14
What is the rem