culate the remainder when p is divided by o(z).
20
Suppose -32 = -15*w + 11*w. Let p(j) = -j**3 + 6*j**2 + 20*j - 16. What is the remainder when 61 is divided by p(w)?
13
Let f = 194 - 100. Calculate the remainder when f is divided by 2673/135 + (1 - (-4)/(-5)).
14
Let f(x) be the first derivative of x**2/2 + 10*x - 8. What is the remainder when 82 is divided by f(11)?
19
Let l be 1 + 1 - (3 + 52). Let b = -37 - l. What is the remainder when (31*4)/(19 - 17) is divided by b?
14
Suppose 0*u - 16 = 3*f - 2*u, -4*f - 26 = -5*u. Let a = f - -113. Calculate the remainder when a is divided by 16.
13
Let u be (-16)/(-28) - (1 - (-944)/(-14)). Let b = -7 + u. Calculate the remainder when b is divided by (-4)/(-16) - (-83)/4.
18
Let w = 88 + 26. Calculate the remainder when w is divided by 59.
55
Let x = -295 - -331. What is the remainder when x is divided by 22?
14
Suppose 344*u - 346*u + 112 = 0. Calculate the remainder when 278 is divided by u.
54
Let i(o) = 2*o + 11. Let l be i(-8). Let c be ((-8)/l)/(6/15). Calculate the remainder when 13 is divided by 27/c + (-1)/(-4).
6
Suppose 4*m - 7 - 13 = 0. Let o(d) = -d**2 + 8*d - 4. Calculate the remainder when o(m) is divided by 3.
2
Let k = -50 - -122. What is the remainder when 284 is divided by k?
68
Suppose v - 6*v - 2*h + 431 = 0, -v - 3*h = -81. Suppose 0*w = -w + v. Suppose -18 = t - 2*t. What is the remainder when w is divided by t?
15
Let k = -1 - 11. Let n = k + 12. Suppose -2*x - 13 + 39 = n. What is the remainder when 38 is divided by x?
12
Let y = 126 - 122. Let n be 2/7 + (-435)/(-21). Suppose 2*d + k - 8 = d, 0 = -3*d - y*k + n. What is the remainder when d is divided by 4?
3
Let z(v) = v**3 + 7*v**2 - 9*v - 2. Let a be z(-8). Suppose a*x = -3*x + 108. What is the remainder when 43 is divided by x?
7
Let o = -54 - -34. Suppose 2*g = -2*g + 200. Let i = g + o. What is the remainder when i is divided by 8?
6
Suppose 17312 = -339*g + 371*g. What is the remainder when g is divided by 68?
65
What is the remainder when 82 is divided by 57/2 - (-2 + (-40)/(-16))?
26
Calculate the remainder when 540/(-25)*(-2)/((-4)/(-15)) is divided by 5.
2
Suppose 0 = -5*t - 4*p + 140, -5*p = 2*t + 3*t - 135. Suppose -h + t = h. Let z = h + -4. Calculate the remainder when 47 is divided by z.
11
Suppose 3*j = j + 6. Suppose 0 = -3*h - 20 + 65. Suppose -5*c - h = -10*c. What is the remainder when j is divided by c?
0
Suppose -t + 26 = -52. Suppose -t = 6*p - 8*p. Suppose p = 10*x - 7*x. What is the remainder when x is divided by 8?
5
Let z = -180 + 303. What is the remainder when z is divided by 32?
27
Let t = 43 + 35. Suppose 5*f + u - 9 = -2, 0 = -5*f + 3*u - 1. What is the remainder when t is divided by (25 + 2)*f/1?
24
Let h be (-1)/(-3) - 87/(-9). What is the remainder when 5*(1 + 8/h) is divided by 21 - 10 - (4 + 1)?
3
Suppose 2*x + 53 = z, -15*z + x = -20*z + 276. What is the remainder when 225 is divided by z?
5
Calculate the remainder when 1/((-1)/7*(-56)/56) is divided by (2/(-5))/((-1)/10).
3
Suppose 3*g - 2*x + 2 = 0, 4*g - 5*x - 2 = -0. Let n(r) = 5*r**2 - 3*r - 5. Suppose 0 = -5*t + 2*t + 24. Calculate the remainder when n(g) is divided by t.
5
Suppose l = -4*y + 62 + 830, 4*y - 884 = l. What is the remainder when 87 is divided by (-2)/(-6) - (1 + y/(-9))?
15
Suppose -3*u + u - 4*b = -76, 0 = u - 4*b - 62. Suppose 9 = 5*h - u. Suppose -8*m + 24 = 5*y - 6*m, 15 = -5*m. Calculate the remainder when h is divided by y.
5
Let s be (7 - -1)/1 - -2. Suppose -3 = x - s. What is the remainder when x is divided by 3?
1
Suppose -11*h + 3149 = -514. What is the remainder when h is divided by 42?
39
Suppose -h = -2*h. Suppose 2*r - 4*r = h. Suppose -4*j + 0*j + 64 = r. What is the remainder when 30 is divided by j?
14
Let n(l) = l**3 + 6*l**2 - 11*l + 6. Calculate the remainder when 96 is divided by n(-7).
28
Let r = -21 + 36. Let b = r - 12. Suppose 3*u - b*p = 279, 2*u - u - 2*p = 88. What is the remainder when u is divided by 25?
23
Suppose -327 = -4*z + 3*z - 3*y, 0 = -2*y + 4. What is the remainder when z is divided by 47?
39
Suppose -4*z + 5*u + 539 = 0, 5*z + u = -3*u + 684. What is the remainder when 12*(z/32 + (-3 - 0)) is divided by 7?
1
Let u = 16 + -11. Let d(x) = x**3 - 4*x**2 - 8*x + 4. Let t be d(u). Let p = -9 - t. What is the remainder when 4 is divided by p?
0
Suppose -5*b + 141 = -54. What is the remainder when 115 is divided by b?
37
What is the remainder when 59 is divided by -2 + 0/7 + 1 + 21?
19
Let v(x) = -15*x - 2. Let q(h) = 1. Let r(g) = 6*q(g) + v(g). Let f = -112 - -109. What is the remainder when r(f) is divided by 17?
15
Let o(s) = -3*s**2 - 73*s - 2. Suppose -2*i = -4*d - 5*i + 44, 4*d - 36 = -5*i. Calculate the remainder when o(-22) is divided by d.
12
Let l = 44 + -31. Let n(j) = -j - 1. Let v be n(-5). Suppose -v = -4*r + 188. What is the remainder when r is divided by l?
9
Suppose -23*c + 24*c - 2 = 0. Suppose -5 = -4*t - c*z + 13, 4*z = 4*t - 24. What is the remainder when t is divided by 2?
1
Let q = -790 + 861. Calculate the remainder when 279 is divided by q.
66
What is the remainder when 104 is divided by (-6)/1 - (2 - -2 - 39)?
17
Let m(t) = 8*t - 101. Calculate the remainder when 92 is divided by m(15).
16
Let j = -12 + 16. Suppose j*d + 0*d - 268 = 0. What is the remainder when d is divided by 18?
13
Let x = -248 - -531. Calculate the remainder when x is divided by 11.
8
Let g(p) = -2*p**3 - 7*p**2 - 3*p + 2. Suppose a + 217 = 9*h, 2*h + 5*a - 57 = -14. What is the remainder when g(-5) is divided by h?
20
Suppose 3*r - 1574 + 1514 = 0. What is the remainder when 215 is divided by r?
15
Let n(v) = -23*v + 12*v + 9*v. Let m = 7 - 14. Calculate the remainder when 54 is divided by n(m).
12
Let w(q) = -22 - 30 + 6*q - 2*q + 12. What is the remainder when w(30) is divided by 17?
12
Suppose 2*u + 3*u = 15. Let h = 95 - 82. What is the remainder when h + 1/(1*4/(-16)) is divided by u?
0
Let f = -28 - 5. What is the remainder when 75 is divided by (22/f)/(-1 - (-55)/57)?
18
Suppose -s - 2*s + 111 = 0. Suppose 0 = -2*g - 4*b + 12, 2*b = 2*g + 3*b - 24. Let d = s - g. Calculate the remainder when 44 is divided by d.
21
Let s(i) be the first derivative of -i**4/4 - 2*i**3 + 3*i**2/2 - 7*i - 2. Let j be s(-7). Let f = 64 - j. Calculate the remainder when f is divided by 15.
13
Let o = -54 - -79. Calculate the remainder when (-8)/12 - 1*1196/(-12) is divided by o.
24
Let n be (-8 - -9) + (-2 - -4). Suppose -5*w + 4*d + 85 = 0, -6*w + n*w + 68 = d. Calculate the remainder when 39 is divided by w.
18
Suppose 8*o - 4*o + 4*t = 248, -3*o - 2*t + 189 = 0. What is the remainder when o is divided by (170/(-50))/((-1)/5)?
14
Let d = -20 - -20. Suppose -2*s - 3*b + 13 = d, -4 = s - 2*b - 0*b. Suppose 3*v = s*q + 2*q - 171, 57 = q + 4*v. What is the remainder when q is divided by 8?
5
Let r(m) = -27*m - 29. What is the remainder when r(-4) is divided by 14?
9
Calculate the remainder when 121 is divided by 8/(-6)*540/(-24) - -2.
25
Let t(m) = m**3 + 6*m**2 - 19*m - 15. Suppose 3*k - 15 = -2*k. Calculate the remainder when t(-8) is divided by k.
0
Let v(f) = -f**2 - 14*f + 2. Let w be v(-6). Suppose 6 = t - w. Calculate the remainder when t is divided by 29.
27
Suppose 276*v = 283*v - 735. What is the remainder when v is divided by 37?
31
Suppose -64*r - 15*r = -10744. What is the remainder when 1084 is divided by r?
132
Suppose -3*l - x + 194 = 44, x - 100 = -2*l. Calculate the remainder when (-3 + l/(-6))/(8/(-60)) is divided by 29.
27
Let g(b) = -11*b**2 + b + 3. Let o be g(-1). Let l = 86 - 53. Let p = l + o. Calculate the remainder when p is divided by 14.
10
Let g(v) = 10*v + 8. Let j be g(-5). Suppose -6*r + c = -r - 54, -5*c = -5*r + 50. Calculate the remainder when (-1)/((-2 - -4) + -1) - j is divided by r.
8
Let l(d) = d**3 + 7*d**2 + 12*d + 37. What is the remainder when l(-5) is divided by 14?
13
Suppose 4*r + 4 = 0, 3*r + 709 = 3*z + 2*r. Let n = -2 + 23. What is the remainder when 8/12 + z/6 is divided by n?
19
Suppose 3*w + 3*x = 7*w - 228, -5*w + 250 = 5*x. What is the remainder when 210 is divided by w?
48
Let a(s) = -s**2 + 8*s - 4. Let i(q) = 2*q**2 + q. Let v be 0 - (0/(-2) - -2). What is the remainder when i(v) is divided by a(7)?
0
Let x(w) = 2*w**2 - 44*w + 21. Let s