remainder when (3 + y)*-2 + -1 is divided by w?
9
Suppose 0 = 5*c - g - 175, 0 = 3*c - 0*g + 3*g - 87. Suppose -l + 3*l - c = 0. Calculate the remainder when 67 is divided by l.
16
Let u(m) = -m**3 - 6*m**2 + 9*m - 4. Calculate the remainder when u(-9) is divided by 0 + 0 + 1 + -61 + 83.
20
Let n(u) = -11*u - u + u**2 + 5 - 3 - u**3 + 17*u. Suppose -17 = 5*y + 3*k, -3*y - 2*k - 5 - 5 = 0. Calculate the remainder when n(y) is divided by 21.
20
Let o = -324 + 364. Calculate the remainder when 599 is divided by o.
39
Calculate the remainder when 42 is divided by (108/6 - 0)/2.
6
Let y = 5 + -33. Let s = y + 39. Calculate the remainder when s is divided by 4.
3
Let g(n) = n**3 - 2*n**2 - 5*n - 5. Suppose -45 = -4*d - 45. Suppose -4*x - 3*s + 30 = -9, d = -x - 3*s + 3. Calculate the remainder when g(5) is divided by x.
9
Let l be (-2)/(-1)*460/5. Suppose b = 5*b - l. What is the remainder when b is divided by 8?
6
Let i = 60 - 70. Let v(d) = -d**3 - 9*d**2 + 2*d - 33. Calculate the remainder when v(i) is divided by 8.
7
Let l(n) = 161*n + 2. Let p be l(-3). Let k be p/(-6) + (-3)/18. Suppose -k = -2*c + 6. Calculate the remainder when c is divided by 15.
13
Suppose 0*y + 600 = 5*c + 3*y, -2*c + y + 240 = 0. Suppose -c = -34*n + 39*n. What is the remainder when ((-98)/4)/(12/n) is divided by 25?
24
Suppose 2*h = -n - 15, -4*h + 6*n = n + 65. Suppose 0 = -4135*m + 4136*m - 39. Calculate the remainder when m is divided by -2*(-2 - h/(-2)).
11
Let c = -52 - -86. Let t(i) = 2*i**2 + 14*i + 7. What is the remainder when t(-10) is divided by c?
33
Calculate the remainder when 71 is divided by (-1634)/129*6/(-4).
14
Let v(j) = j**3 + 2*j**2 - 4*j + 3. Let q be v(-3). Suppose u - q*u + 60 = 0. Calculate the remainder when 33 is divided by u.
9
Let h = 8 - 18. Let u = -18 - h. Let b = 18 + u. Calculate the remainder when 38 is divided by b.
8
Suppose 0 = -2*y + 213 - 83. Suppose -2*q + 3*i = q - 45, 4*q + i - y = 0. What is the remainder when 60 is divided by q?
12
Let m = 12 + 72. Calculate the remainder when m is divided by 44.
40
Suppose -7*v = -5*v - 28. Let r be (-4)/(-14) + (-804)/(-28). Suppose k + r = 3*u - 51, 3*k = -2*u + 46. Calculate the remainder when u is divided by v.
12
Suppose -10*c - 54 = -13*c. Suppose g - 12 = p, 3*g + p - c = 2. What is the remainder when 21 is divided by g?
5
Let w(c) = c**3 + 10*c**2 + 4*c - 8. What is the remainder when w(-5) is divided by 20?
17
Suppose -48*z + 55 = -43*z. Calculate the remainder when 1174 is divided by z.
8
Suppose 0 = 4*g - 7*g + 5*x + 211, -g - 2*x = -74. What is the remainder when 216 is divided by g?
0
Suppose -76 = m - 80. Suppose 63 = 4*s + c, 2*s = 6*s + m*c - 48. What is the remainder when 62 is divided by s?
11
Suppose 168 = 3*l + 3*b, 5*l + 193 = 8*l - 2*b. Calculate the remainder when 180 is divided by l.
58
Let n = 430 - 391. Let y = 7 + -2. Let v = 5 + y. Calculate the remainder when n is divided by v.
9
Suppose 5*v - 5*r = 4*v + 12, -v = 3*r - 36. Calculate the remainder when 155 is divided by v.
20
Let a = 35 + -31. Suppose -a*s = 3*s - 203. What is the remainder when 82 is divided by s?
24
Let j(y) = -y**3 - y**2 + y + 1. Let v(r) = -r**3 - 4*r**2 + 2*r + 4. Let a(m) = -2*j(m) + v(m). Calculate the remainder when a(4) is divided by 9.
7
Suppose 4*p - 4*a - 2238 = -6*a, -4*a = p - 577. What is the remainder when p is divided by 18?
17
Let l = 13 - 42. Suppose 15*s + 147 = 12*s. Let v = l - s. What is the remainder when v is divided by 11?
9
Suppose -4*m + 0*m = -40. Let g(r) = 3*r**3 - 1 + r**2 - 22*r**3 + 8*r**3 - 4*r + 12*r**3. What is the remainder when m is divided by g(2)?
1
Let h(t) = -t**3 + 7*t**2 + 24*t - 27. Calculate the remainder when 121 is divided by h(9).
13
Let x(s) = -5*s + 10. Let k be x(-8). Suppose 92 = -3*h + 2*t, 0 = -4*h - 3*t + 5*t - 126. Let g = h + k. Calculate the remainder when g is divided by 9.
7
Suppose 5*o + 4*i = 2*i + 252, 5*o = -5*i + 255. What is the remainder when 198 is divided by o?
48
Calculate the remainder when 33 is divided by (9/6 - 3)/(15/(-50)).
3
Suppose -1 - 33 = -2*f. Suppose 2*j + p = 6*p + 5, 7 = j + 2*p. Calculate the remainder when f is divided by j.
2
Let z = -713 - -774. Calculate the remainder when 363 is divided by z.
58
Let o be (-3 - -2)*1*(-5 - -2). Suppose 6*t - 18 = o*t. Calculate the remainder when 27 is divided by t.
3
Suppose 0 = -4*n + 17*z - 20*z + 144, -z + 152 = 4*n. What is the remainder when n is divided by (6 - -4)/(-1 + 2)?
9
Let t(z) be the first derivative of 4*z**3 - z**2 - 4*z - 10. Calculate the remainder when t(-2) is divided by (-12)/18 + 64/6.
8
Let t(g) = -2*g + 90. Calculate the remainder when 781 is divided by t(-11).
109
Suppose 19*n - 30*n + 12419 = 0. Calculate the remainder when n is divided by 10.
9
Suppose -5*t = -4*j - 179, -3*t + 6*j - 7*j + 104 = 0. Calculate the remainder when t is divided by 6.
5
What is the remainder when (-1364)/(-33)*(-6)/(-4) is divided by 32?
30
Calculate the remainder when (0 - 10)*(-4)/8*13 is divided by 17.
14
Suppose -12 = 3*w + 6. What is the remainder when 14 is divided by -1 + 6 + (w - -9)?
6
Suppose 28*p = 25*p - 822. Let w = -110 - p. What is the remainder when w is divided by 42?
38
Suppose -4*u + 2*c + 598 = 0, 71 - 674 = -4*u + 3*c. What is the remainder when u is divided by 16?
3
Suppose -j = 3, 3*j = 17*l - 21*l + 115. Calculate the remainder when 90 is divided by l.
28
Let i = -38 - -56. Suppose 0 = -5*g + 4*t - 123 + 359, t + 95 = 2*g. Calculate the remainder when g is divided by i.
12
Let p(u) = 2*u**3 - 11*u**2 + 15. Let z(l) = -l**3 + 12*l**2 - 14. Let m(j) = -2*p(j) - 3*z(j). What is the remainder when -23*(-1 + 0)*1 is divided by m(-14)?
11
Let x(j) = j**3 - 3*j**2 - 12*j + 7. Suppose 3*n - 8 = -4*c, -25 = c + 4*c - 5*n. Calculate the remainder when x(6) is divided by c - -21 - (-1 - 1).
21
Suppose 0 = -15*f + 7570 - 2725. What is the remainder when f is divided by 64?
3
Let m = -40 - -44. Let f be (16/(-6))/((-2)/3). Suppose -5*o + 126 = -m*u + 17, -f*o + 84 = -4*u. What is the remainder when o is divided by 7?
4
Suppose -34 = -2*o - 4*t, -3*t - 49 + 3 = -5*o. Suppose -r + o + 8 = 0. What is the remainder when 37 is divided by r?
18
Suppose 5*d - 3 = 107. Let l = 39 - d. Suppose 0 = 2*w - 2*y - 50 - 22, 0 = -5*y - 20. Calculate the remainder when w is divided by l.
15
Let y(h) = h**2 - 6*h - 6. Suppose -34*n + 31*n + 306 = 0. Calculate the remainder when n is divided by y(9).
18
Suppose 8*a - 6*a = -5*c + 14, -12 = -5*c - a. Suppose 0 = -4*f, -m + 2 = 3*f - 2. Calculate the remainder when m is divided by c.
0
What is the remainder when 8 is divided by -6 - -2 - (-8 - -3)?
0
Let g = 55 + -26. Let t = 11 + -10. What is the remainder when g is divided by t*(4 - 8)*-4?
13
Let i(g) = 3*g**2 + 6*g - 17. Let a be (12/(-24))/(2/24). Calculate the remainder when i(a) is divided by 14.
13
Let j(i) = -i**2 - 6*i + 1. Calculate the remainder when 3/2*(-8)/(-60)*205 is divided by j(-5).
5
Suppose 4*p - 3*p = 10. What is the remainder when 1/(-1)*((-9 - 15) + 5) is divided by p?
9
Suppose 8*d - 7*d - t - 26 = 0, -4*d - 4*t + 72 = 0. What is the remainder when 39 is divided by d?
17
Let w(r) = r. Let c(x) = 3*x - 8. Let b(n) = -c(n) + 2*w(n). Let l = -1 + 10. Calculate the remainder when b(-8) is divided by l.
7
Let k(f) = -f**2 + 69. Calculate the remainder when k(6) is divided by 3.
0
Suppose 80 = 3*y - y. What is the remainder when 61 is divided by 1 + y/(-4 - -9)?
7
Suppose -3*q = -3 - 6. Suppose q*f = -f + 52. Calculate the remainder when f is divided by 8 + (2 - 2)/2.
5
Let m(s) = s**3 + 16*s**2 + 10. Let p(d) = -d + 3. Calculate the remainder when m(-16) is divided by p(0).
1
Calculate the remainder when (39 - -37) + -2 + 3 is divided by 9.
5
Let b = -266 - -403. Calculate the remainder when b is divided by 32.
9
Suppose 84 = 14*h - 10*h. What is the remainder when -2 - (-86 - (-2 + 0)) is divided by h?
19
Let z be (-3 + 0)*145/(-3). Let p = z - 52. Let x = 107 - 83. What is the remainder when p is divided by x?
21
Let y = -414 + 504. Calculate the remainder when 128 is divided by y.
38
Suppose -107 = -4*n + 2*f - 33, 0 = -n - 3*f + 36. Calculate the remainder when n is divided by 1/(2/(2*5)).
1
Let a(j) = j**3 - 15*j**2 - 52*j + 7. Calculate the rema