= 30 + 65. Calculate the remainder when x is divided by 10.
9
Let o = 23 - -5. Let f = 262 + -252. Calculate the remainder when o is divided by f.
8
Let i = 133 + -77. Suppose i = 5*n - 4. Suppose 11*t = 196 + 46. Calculate the remainder when t is divided by n.
10
Let w(h) = -h**3 + 16*h**2 + 19*h - 11. What is the remainder when 65 is divided by w(17)?
19
Let x(p) = p**3 - p**2 + p + 63. Calculate the remainder when 186 is divided by x(0).
60
Let o be -1*(0 - -1) - -6. Suppose -o*m = -10*m + 70. Calculate the remainder when 55 is divided by m.
13
Suppose -24*b + 205 = -19*b. Calculate the remainder when b is divided by 12.
5
Let y(m) = -m**3 - 6*m**2 - 7*m - 1. Suppose 2*o = -2*o + 48. Calculate the remainder when y(-6) is divided by 1 + o + 3 + -2.
13
Let i(s) = s**3 - 4*s**2 + 3. Let v be 0 + 1 + 2 - -1. Let d be i(v). Let w(g) = -g**3 + 2*g**2 + 3*g + 3. What is the remainder when 5 is divided by w(d)?
2
Suppose -1230 = -15*s + 5*s. What is the remainder when s is divided by 9?
6
Suppose -4*w + w - 5*s = -6, 0 = w + 4*s - 2. Calculate the remainder when -130*(0 + w/(-4)) is divided by (2/3 - 0)*33.
21
Let l = 3 + 18. Suppose s = -1 - 0. What is the remainder when l is divided by (8/3)/(s/(-3))?
5
Let k(c) = -31*c**2 + 9*c - 4. Let x(l) = -16*l**2 + 5*l - 2. Let i(o) = -4*k(o) + 7*x(o). What is the remainder when i(2) is divided by 25?
23
Let k(l) = 6*l**3 - l**2. Let m be k(1). Suppose -4*j = 4*x - m*j - 192, 2*x - 94 = j. Calculate the remainder when x is divided by 17.
15
Let r(z) = z**3 - 5*z**2 + z + 5. Let s = -4 + 42. What is the remainder when s is divided by r(5)?
8
Let w(k) = 9*k + 11 + k**2 + 0*k - 6*k. What is the remainder when w(-8) is divided by 18?
15
Suppose 6 + 0 = -3*v, 4*i - 3*v = -14. Suppose -2*a - 16 = -4*a. Let n = i + a. What is the remainder when n is divided by 2?
1
Let n be (3/(-2))/((-3)/4). Let j(x) = -x + 2 + 0 - 5 - n*x. Calculate the remainder when 26 is divided by j(-4).
8
Let k(x) = -x + 14. What is the remainder when 9 is divided by k(9)?
4
What is the remainder when 175 is divided by (-2)/9 - 1022/(-63)?
15
Suppose 15 = 5*c, -3*m - 2*c + 103 = -191. What is the remainder when m is divided by 33?
30
Let p(x) = 6*x + 4 + 0*x**2 - 6*x + x**2. Calculate the remainder when (22/33)/(2/69) is divided by p(3).
10
Suppose h + 22 = 52. Calculate the remainder when h is divided by 8.
6
What is the remainder when 684/(-30)*-5*(-1)/(-2) is divided by 15?
12
Suppose 3*g - 52 - 42 = -2*v, -g = -4. Calculate the remainder when v is divided by 11.
8
Suppose 0*f + 3*f - 39 = 0. Suppose -2*h + 0*h + 14 = 0. Calculate the remainder when f is divided by h.
6
Let f(a) = 9*a - 23. Calculate the remainder when f(9) is divided by 15.
13
Suppose -4*p = 2*o - 50 + 12, 0 = -p - 2*o + 5. Let v(c) = -3*c + 11. What is the remainder when v(-10) is divided by p?
8
Suppose -28 = -7*o + 28. What is the remainder when 28 is divided by o?
4
Suppose -20*z - 17 = -117. Calculate the remainder when 22 is divided by z.
2
Suppose -10 = 2*j, -q - 2*q - 2*j = -38. Let x = 113 - 69. Calculate the remainder when x is divided by q.
12
Let m be (-1)/(1 + 2 + -2). Let q be m*(1 + -32 + -2). Suppose 5*p - 2*p = q. What is the remainder when p is divided by 6?
5
Let u = -131 - -150. What is the remainder when u is divided by 12?
7
Let d be (-1)/((-1)/7)*-1. Let w = d - -18. Let o(n) = 21*n**2 - 2*n + 1. Calculate the remainder when o(1) is divided by w.
9
Suppose 5*m + 5*h = 2*h + 84, 3*h = -6. Calculate the remainder when 104 is divided by m.
14
Let j(m) = -m - 13. Let a be j(-11). Let b be (-336)/(-9) - a/3. Let x = b + -14. Calculate the remainder when x is divided by 13.
11
Suppose 5*w = 15, -2*w - 11 = -k - 3*w. Let v = k + 5. Let c = 4 + 1. What is the remainder when v is divided by c?
3
Let n = 14 + 0. Suppose -x = -2*u - 4, -x + 2*u + 4 = 4*u. Calculate the remainder when n is divided by x.
2
Suppose 22 = 2*i + 4*g - 16, -3*i = -4*g - 77. Calculate the remainder when i is divided by 6.
5
Let l = 17 + -2. What is the remainder when 44 is divided by l?
14
Let k = -4 - -1. What is the remainder when (2/k)/((-8)/84) is divided by 2?
1
Suppose -54 = -q + 33. Suppose -74 = 3*s + 61. Let p = q + s. Calculate the remainder when p is divided by 11.
9
Suppose 5*j = -5*c + 470 - 60, -3*c = -4*j - 239. Let i(x) = 14*x**2 + 4*x + 3. Let a be i(-2). Let f = c - a. Calculate the remainder when f is divided by 16.
14
Let v(m) = -m - 2. Let q = -14 + 17. Calculate the remainder when q is divided by v(-3).
0
Suppose -10 - 1 = -2*u - h, 4*u - 2*h - 10 = 0. Let c(w) = -5*w**2 + 1 + 2 + 4*w**2 - 6*w. What is the remainder when c(-4) is divided by u?
3
What is the remainder when 1/((-4)/(-624)*4) is divided by 10?
9
Let j(b) be the second derivative of b**5/20 + b**4/12 - 8*b**2 + b. Let l be j(0). Let i = l + 30. Calculate the remainder when i is divided by 8.
6
Let m = -13 - -10. Calculate the remainder when (-2)/(12/m)*124 is divided by 16.
14
Suppose 0 = 35*n - 32*n - 159. What is the remainder when n is divided by (1 - -1) + 0 + 16?
17
Let n(k) = -2*k**3 - 5*k**2 - k + 4. Let v(t) = t**3 - 6*t**2 - 3. Let w be v(6). Calculate the remainder when n(w) is divided by 9.
7
Calculate the remainder when 22*1*18/12 is divided by 7.
5
Let i = 7 + -4. Let u be -14*((-38)/(-14) - 3). Suppose 4*d = -2*p + 22, -3*d + 20 = u*p + p. Calculate the remainder when d is divided by i.
2
Let h(m) = -m**2 + 12*m - 7. What is the remainder when 166/(-5)*20/(-8) is divided by h(7)?
27
Suppose -2*u - 37 = 5*c - 6*c, 2*c - 68 = u. Let g(t) = -2 + 0 - 2*t - 5 + t**2. What is the remainder when c is divided by g(6)?
16
Let d(v) = 5*v - 3. Suppose 11 = 2*m + 3*m + 3*x, 23 = 2*m - 5*x. Let p = -16 - -48. What is the remainder when p is divided by d(m)?
15
Suppose 7 = 2*p - 5. What is the remainder when 39 is divided by (-3)/p - (-41)/2?
19
Let y = -9 + 13. Let j = y - 2. Suppose 27 = v - 4*d, -5*v + 20 = -j*d - 43. What is the remainder when v is divided by 4?
3
Let l(b) = -b**2 + b + 5. Let k be l(0). Suppose k*j - 68 = -3. What is the remainder when 23 is divided by j?
10
Suppose -7*f + 166 = -51. What is the remainder when 123 is divided by f?
30
Suppose k - 5*p + 6*p - 10 = 0, -4*k - 5*p + 40 = 0. Let j = k + -6. Calculate the remainder when 1 + 2 + 7*j is divided by 16.
15
Let z = -56 - -74. What is the remainder when z is divided by 7?
4
Let z = 2 - 6. Calculate the remainder when ((-39)/6 - 1)*z is divided by 11.
8
Suppose -3*c = r + 2*c + 6, -3*r + 3*c + 18 = 0. What is the remainder when 19 is divided by r?
3
Suppose -4*f = -4*i - 188, 4*f - i - 203 = -0*f. What is the remainder when f is divided by 19 - -1 - (-4)/(-2)?
16
Let i(q) = q**2 - 4*q - 3. Calculate the remainder when (-28)/(-21)*405/6 - 3 is divided by i(-3).
15
Let h = 7 - 6. What is the remainder when 14 is divided by 3 + 6 - 1/h?
6
Suppose -x = 2*q - 7*q + 247, 4*q - 206 = 5*x. Calculate the remainder when 96 is divided by q.
47
Suppose -2*c - 4*q - 4 = 0, 0 = 3*c + 6*q - 2*q + 6. Calculate the remainder when c/(-7) + (-598)/(-14) is divided by 15.
13
Let s(r) = -r**2 + 12*r + 3. Let u be s(9). Suppose -4*b - 40 = -2*b. Let c = u + b. What is the remainder when 29 is divided by c?
9
Calculate the remainder when 11 is divided by (-2)/(1*-2)*20/4.
1
Suppose m = -3*x + 9, -4*m + 2*m = -5*x + 37. Calculate the remainder when 6 is divided by 20/6 - 4/m.
2
Let p(v) = v**2 + 2*v + 5. Let n be p(-4). Suppose -2*j - 3 + n = 0. Suppose a + 2*a + j*q = 16, 0 = -5*q + 10. Calculate the remainder when a is divided by 1.
0
Let b(k) = -2*k**2 + 6*k - 6. Let p be b(5). What is the remainder when (-40)/(-5) + (0 - -5) is divided by p/(-7) + (-4)/(-14)?
1
Let b(g) = -163*g - 3. Let l be b(-6). Suppose -2*z = 3*z - l. Suppose z - 75 = 5*r. Calculate the remainder when 46 is divided by r.
22
Suppose 0 = -2*q + q - 1, -3*m + 3*q = -354. Suppose -h - h = -60. What is the remainder when m is divided by h?
27
What is the remainder when (48*1 - 4) + -1 is divided by 22?
21
Let g be (3/(-2))/((-2)/4). Suppose 1 = 4*h - g. Calculate the remainder when ((2 - 3)*-1)/1 is divided by h.
0
What is the remainder when ((-120)/9)/4*-9 is divided by 16?
14
Let d = -9 + 17. What is the remainder when 13 is divided by d?
5
Let x(m) = -2*m + 4. Suppose