). Suppose -4*w + h*w - 4*p = 1, -3*w - v*p = -59. Calculate the remainder when w is divided by 10.
7
Let m(z) = -2*z**2 + 1 - z + 5*z**3 - 3*z**3 + z**2 + 5*z**3. Let c be m(1). Calculate the remainder when (-294)/(-10) + c/10 is divided by 11.
8
Suppose -47*m + 145 = -42*m. Let a = 2 - 1. Suppose -a = x - 11. Calculate the remainder when m is divided by x.
9
Let t be 1/7 - (-108)/28. Let c(p) = p**2. What is the remainder when c(t) is divided by 6?
4
Let x be (-8)/(-16)*(-1 - -1). Suppose 0 = k - 3*m + 32, x = -4*k + 4*m - 28 - 92. Let g = k + 45. Calculate the remainder when 30 is divided by g.
14
Let g(y) = -y**2 - 8*y + 30. Calculate the remainder when g(-8) is divided by 17.
13
Let p be 1*-24 - (0 - 1). Let t = p - -29. Calculate the remainder when 21 is divided by t.
3
Let c(u) = u**2 - 8*u - 9. Calculate the remainder when c(11) is divided by 7.
3
Let x = -2 - -2. Suppose 2*h - 62 = -x*s - 2*s, 2*h - 5*s = 97. Suppose 2*l = 17 + 21. What is the remainder when h is divided by l?
17
Let y = -170 + 277. Calculate the remainder when y is divided by 36.
35
Let y = -23 + 37. What is the remainder when 40 is divided by y?
12
Suppose -2*j = 5*m - 69, 3*m - 2*j + j = 48. Calculate the remainder when 59 is divided by m.
14
Suppose 7 = -2*h + 21. Suppose -h = -d - 3. Calculate the remainder when d is divided by 3.
1
Let x = -69 + 107. What is the remainder when x is divided by 8?
6
Suppose 0 = -4*u + 40. Suppose p = 4*p - 2*g + 8, 0 = 2*p - 2*g + 4. Let t = 32 + p. Calculate the remainder when t is divided by u.
8
Let m(b) = b**2 - 5 - 7*b - 3 - 1. Let q be m(9). Suppose 11 + q = 5*h. What is the remainder when 11 is divided by h?
3
Suppose -31 = 2*z - 3*z. Calculate the remainder when z is divided by (4/(-10))/((-1)/40).
15
Suppose -4*x + 5*w = -0*w - 168, -x + w + 43 = 0. Calculate the remainder when x is divided by 12.
11
What is the remainder when (270/25)/(9/30) is divided by 13?
10
Let y(n) = -2*n**2 - 2*n + 4. Let v(o) = o**2 + o - 2. Let p(d) = 9*v(d) + 4*y(d). Calculate the remainder when 4 is divided by p(-3).
0
Suppose -5 = f - 15. What is the remainder when 6/15 + 206/f is divided by 12?
9
Suppose 4*b - 2*b - 14 = 0. What is the remainder when b is divided by 4?
3
What is the remainder when (4/(-8))/(-2 + 267/134) is divided by 23?
21
Let q = -113 + 125. Let f = -65 - -112. What is the remainder when f is divided by q?
11
Suppose -22 = -g + 5*h, 0*g = 5*g + 4*h - 23. Calculate the remainder when 26 is divided by g.
5
Suppose -57 = 2*j + 5*z + 4, -4*z = 3*j + 81. Let q = 2 - j. Suppose -5*f - q + 160 = 0. What is the remainder when f is divided by 14?
13
Let m(p) = 29*p**2. Calculate the remainder when m(-1) is divided by 8.
5
Let g(y) = 12*y**2 + y + 2. Let c be g(-1). Let q = c - 7. What is the remainder when 22 is divided by q?
4
Suppose 4*u = -0*y + 2*y - 40, 2*y - 12 = -3*u. Let j(c) = 4*c - 14. Calculate the remainder when 3/1*(y - 3) is divided by j(7).
13
Let f(o) = o**2 + 4*o + 1. Suppose -3*i - 4*y - 22 = y, 0 = -4*i - y - 18. Let u(m) = 2*m**3 - m. What is the remainder when u(1) is divided by f(i)?
0
Let c be 4/(-14) + 5970/70. Suppose -4*x + 0*x - 3*m + c = 0, -32 = -2*x + 2*m. Calculate the remainder when 73 is divided by x.
16
Let b = -125 - -130. What is the remainder when 19 is divided by b?
4
Suppose -20 = -6*v + 2*v, 0 = 2*r - v - 125. Calculate the remainder when r is divided by 17.
14
Let y be -4 + 9 - (-1 - 0). Let l = y - 0. What is the remainder when 10 is divided by l?
4
Let b = 166 + -119. Let t(l) = -5*l + 8. Let m(x) = 6*x - 7. Let w(j) = 4*m(j) + 5*t(j). Calculate the remainder when b is divided by w(0).
11
Let c = -19 + 48. Calculate the remainder when 85 is divided by c.
27
Let t(g) = -48*g - 11. Calculate the remainder when t(-5) is divided by 46.
45
Calculate the remainder when 7/1 - 0/(-1) is divided by (0 + -3 + 2)/(3/(-12)).
3
Let l(u) = 2*u**2 - 2*u - 1. Let o be l(2). Let d = 6 - o. Suppose -16 = -5*v + d*v. Calculate the remainder when 22 is divided by v.
6
Calculate the remainder when 105 is divided by 326/6 + 1 - 49/147.
50
Let h = 5 + -3. Let k = -17 + 12. Calculate the remainder when 44 is divided by (k/h)/(2/(-12)).
14
What is the remainder when 78 is divided by (-1)/5 + 0 - 230/(-25)?
6
Suppose 8*w + 420 = 12*w. Calculate the remainder when w is divided by 27.
24
Let u = 98 + -68. Calculate the remainder when u is divided by 11.
8
Let u be (12/5)/(3/10). Let v(x) = -x**3 + 9*x**2 - 7*x - 7. Suppose -2 = -5*d + h - 0, 2 = -4*d + 2*h. Calculate the remainder when v(u) is divided by d.
0
Suppose -190 = -4*j - 2*s, -8*j - 5*s + 245 = -3*j. Suppose i + 1 = 13. Calculate the remainder when j is divided by i.
10
Let q = 21 - 11. Suppose 8*u - 139 - 13 = 0. What is the remainder when u is divided by q?
9
Suppose 2*h + 1 - 3 = -3*x, -2*h - 2*x + 4 = 0. Calculate the remainder when 11 is divided by h.
3
Let f(n) = -2*n + 11. Let d be f(8). Let k = d - -8. Calculate the remainder when 9 is divided by k.
0
What is the remainder when (-28)/7 - (4/2 - 186) is divided by 26?
24
Let c(h) = h**3 - 3*h**2 - 8*h + 1. Let v(u) = u**3 - 3*u**2 - 4*u + 2. Let m be v(3). What is the remainder when c(5) is divided by (-64)/(-10) - (-4)/m?
5
Suppose -8 = 2*t - 84. Let i be (-2 - -1)/((-1)/3). Suppose i*z + 4 = -3*y + 31, -5*y - 4*z = -46. Calculate the remainder when t is divided by y.
8
Let c(t) = t**2 - 7*t + 8. Let v be c(8). Suppose 0 = 4*a - f - 0*f - 52, v = 4*f. Let g = a - 10. What is the remainder when 10 is divided by g?
2
Calculate the remainder when 159 is divided by ((-20)/25)/((-2)/80).
31
Calculate the remainder when (-726)/(-15) - 12/(-20) is divided by 17.
15
Let p = -8 + 10. Calculate the remainder when 31 is divided by (3 - (p + -1))*8.
15
Let u(n) = -9*n**3 + 4*n**2 + 2*n - 5. Let j(c) = -17*c**3 + 8*c**2 + 3*c - 9. Let t(d) = -4*j(d) + 7*u(d). What is the remainder when t(2) is divided by 8?
5
Let k be 3/3 + 95 - -3. Suppose -i + k = 2*i. Calculate the remainder when i is divided by 12.
9
Suppose 5*d - 4*b + 5*b = 28, 0 = 5*d + 2*b - 26. Suppose 0*g + 2*g = -2*a + d, -26 = -4*g + 3*a. What is the remainder when 12 is divided by g?
2
Let w be ((-4)/6)/(6/(-9)). Let b(j) = 14*j**3 + 2*j**2 - 1. Suppose 2 = -2*x + 5*f - 2, 0 = 5*x + f - 44. Calculate the remainder when b(w) is divided by x.
7
Suppose -d = 5*g - 10, 3*d - 31 = -2*g + 38. Let r(v) = -v**2 - 7*v + 3. Calculate the remainder when d is divided by r(-5).
12
Let j(z) = 6 - 2 - 4*z + 3*z. Calculate the remainder when -1*2 + 32 + -1 is divided by j(-6).
9
Let l = -80 + 129. Calculate the remainder when 96 is divided by l.
47
Suppose 0 = 2*s - 1 + 7, 0 = 2*x - 5*s - 3. Let m(d) = -2*d**3 - 4*d**2 - 3*d. What is the remainder when (54 - -1) + (x - -4) is divided by m(-3)?
26
Let u = 206 - 168. What is the remainder when u is divided by 13?
12
Let p be -1*(-13 + -4 + 1). Let x = -9 + p. Let j(n) = n + 1. Calculate the remainder when x is divided by j(4).
2
Suppose 1 = s - 2. Let i be (-20)/(-3) - s/(-9). Let b = i + 0. What is the remainder when 20 is divided by b?
6
Let r = -118 + 131. What is the remainder when 51 is divided by r?
12
Calculate the remainder when 38 is divided by (-1)/1 - (3 - 17).
12
Let a(b) = b. Let d be a(7). Let g(v) = 5*v + 4. Calculate the remainder when g(d) is divided by 4/(-10) - (-204)/10.
19
Let x(z) = 2*z**3 - 15*z**2 - 7*z + 3. Let j(l) = 2*l + 1. Let r be j(2). What is the remainder when (1 - 0)/(r/205) is divided by x(8)?
8
Let v(u) = 20*u - 21. What is the remainder when v(6) is divided by 25?
24
Suppose -3*r - 6*h + 36 = -5*h, -2*h - 36 = -3*r. What is the remainder when r is divided by 8?
4
Let s = 12 + -9. What is the remainder when 3 is divided by s?
0
Let g(l) = -l**3 - 12*l**2 - 15*l + 15. What is the remainder when g(-11) is divided by 15?
14
Let h(t) = 21*t**3 + t. Calculate the remainder when 41 is divided by h(1).
19
Suppose i = -15 + 22. Let g be (-2)/4 + 3/6. Suppose -83 = -3*d - r, 1 = d - 5*r - g. What is the remainder when d is divided by i?
5
Let b(u) = u - 4. Let g be b(6). Suppose -g*m + 28 = 2*m. What is the remainder when m is divided by 2?
1
Suppose -152 = -4*p + 164. Suppose -4*j = 5*v - 75, 7*j + 45 = 9*j - 5*v. What is the remainder when p is divided by j?
19
Let w(v) = 13*v**2 + 