5*y = -4*p + 220, -p + 29 - 117 = -g*y. Suppose 0 = -2*q + y - 8. Calculate the remainder when 70 is divided by q.
16
Let s(y) = 33*y**2 + 1. What is the remainder when s(1) is divided by ((-48)/(-28))/((-36)/(-378))?
16
Suppose -2*x + 258 = 196. What is the remainder when 123 is divided by x?
30
Suppose 0 = 2*j - 3*j - b + 22, 0 = 2*j - 3*b - 64. What is the remainder when 97 is divided by j?
19
Let x be 1/(-3) + (-286)/(-66). Suppose 0 = -x*f + 1159 + 65. Suppose 0 = 8*v - f - 214. Calculate the remainder when v is divided by 17.
14
Let o(y) = -y**3 + 16*y**2 + 40*y - 44. What is the remainder when o(18) is divided by 20/(-3)*6/(-4)?
8
Let s(a) = -a**2 - 3*a - 21. Let p be s(-6). Let d = 68 + p. What is the remainder when 144 is divided by d?
28
Let o = 11 + -10. What is the remainder when -4 - -7 - (-58)/o is divided by 22?
17
Suppose 0 = -7*i - 169 + 729. Suppose 3*q - i = -23. What is the remainder when q is divided by 5?
4
Suppose -d = -39 + 47. Let k = 3 - -5. Calculate the remainder when 42 is divided by k - (-1 - d/(-4)).
9
Let w = -2 - -2. Suppose 5*v - v - 12 = w. Suppose -u = v*g - 27 - 18, 105 = 4*u - 3*g. Calculate the remainder when 119 is divided by u.
29
Let a(x) = -3 + 0 + x + 5*x. Let z be (-4)/10*1*-5. What is the remainder when a(z) is divided by 5?
4
Let c be (-10)/(-4)*(-108)/(-30). Let r be (4/(-3))/((-6)/c). Calculate the remainder when (r - (-3 - -30))*-1 is divided by 9.
7
Suppose -9*v + 31 = 4. Let h(i) = 2*i**2 - 2*i - 4 - 2 + 1 + 4. What is the remainder when h(v) is divided by 7?
4
Let j(k) = -69*k + 10. Let u(t) = 23*t - 3. Let r(f) = 4*j(f) + 14*u(f). What is the remainder when r(1) is divided by 15?
14
Let f(z) = 2*z - 16. Let p be f(8). Suppose -r + 105 - 28 = p. Suppose -2*c + 48 - 12 = 2*o, 0 = -2*c - 3*o + 34. What is the remainder when r is divided by c?
17
Let r(c) = -c**3 + 5*c**2 - 6*c + 5. Let x be r(4). Let y(j) = j**2 - 5*j - 13. Calculate the remainder when 42 is divided by y(x).
9
Let m = 135 + -55. Suppose -2*y - 2*y = -m. Calculate the remainder when 99 is divided by y.
19
Suppose 0 = 12*q - 303 - 489. What is the remainder when 145 is divided by q?
13
Suppose 3*s + s = 452. Let p = 66 - s. Let b = p + 88. Calculate the remainder when b is divided by 7.
6
Calculate the remainder when 233 is divided by (42 - 14) + (-1 - (-8 - -5)).
23
Let m be ((-10)/20)/(2/48). Let b(a) = 1 - 29*a**2 + 28*a**2 - 13*a - 5. Calculate the remainder when 28 is divided by b(m).
4
Suppose 921 = -94*h + 27711. What is the remainder when h is divided by 16?
13
Let w(i) = -29*i + 24. Calculate the remainder when 38 is divided by w(0).
14
Suppose 0*p + 2*r + 40 = 5*p, 0 = p - 3*r + 5. Let i = 40 + -37. What is the remainder when p is divided by i?
1
Suppose 4*u - 11 = 4*n - 31, -5*n = -4*u - 23. Suppose 4 = n*s - 5. What is the remainder when 3 is divided by s?
0
Let v = 500 + -276. What is the remainder when v is divided by 38?
34
Let q = -55 + 81. Suppose s = -4*s - 130. Let o = s + 33. What is the remainder when q is divided by o?
5
Let d be (10/6 + -2)/(7/(-63)). Suppose -2*r - d*p = -0*p - 88, 0 = 3*r - 2*p - 158. Calculate the remainder when r is divided by 21.
8
Suppose 15 - 6 = w. Let r(s) = -s**3 + 8*s**2 + 13*s - 4. Let q be r(w). Let c = -13 + q. What is the remainder when c is divided by 5?
4
Let y = 42 + 11. What is the remainder when y is divided by 3*6/36*38?
15
Let w = -26 - -184. Calculate the remainder when w is divided by ((-16)/12)/(3*4/(-162)).
14
Let r = -296 - -342. What is the remainder when r is divided by 8?
6
Suppose -27*y + 24 = -21*y. Suppose 0 = -3*c - 8 - 7, -3*a + y*c + 65 = 0. What is the remainder when a is divided by 4?
3
Suppose r = -3*r + 3*n + 130, 3*r = -n + 91. What is the remainder when 57 is divided by r?
26
Let o = 86 - 71. Suppose -12*b + 7*b = -20. Suppose -b*q + 74 = -98. What is the remainder when q is divided by o?
13
Let f = 671 - 591. Calculate the remainder when f is divided by 73.
7
Suppose 0 = -261*q + 275*q - 11830. Calculate the remainder when q is divided by 16.
13
Suppose -202 - 104 = -17*k. What is the remainder when 67 is divided by k?
13
Suppose 19 + 16 = 5*u. Suppose 3*g - 382 = 5*z, z + 4*g + 20 = -38. Let b = -41 - z. Calculate the remainder when b is divided by u.
5
Suppose 2*n - g - 51 = 28, -205 = -5*n - 5*g. Calculate the remainder when n is divided by 13.
1
Suppose 61 = 7*y - 6*y. Suppose -3*l = 34 - 331. Suppose -3*v - 6*x = -x - 78, -4*v = 5*x - l. What is the remainder when y is divided by v?
19
Suppose 4*u = 17 - 13. Suppose 18 = s - 2*p, -5*p - 38 + u = -2*s. Calculate the remainder when 62 is divided by s.
14
Suppose 0 = 4*s + 8, -4*l - 9*s - 22 = -4*s. Suppose 4*y = -m - m - 42, -48 = 5*y + m. What is the remainder when 40 is divided by l*(3 + 60/y)?
7
Let r = 299 + -274. Calculate the remainder when r is divided by 11.
3
Let f(p) = p**2 - 2*p + 2. Suppose -65 = 12*m - 17*m. What is the remainder when m is divided by f(3)?
3
Let y(b) = b**3 + 8*b**2 - 13*b + 13. Let l = 13 - 22. Calculate the remainder when y(l) is divided by 17.
15
Let r(b) = -b**3 + b**2 + 4*b + 5. Let y = 27 - 22. Suppose 22 = y*n - 2*h - 64, -4*n = -h - 70. Calculate the remainder when r(-4) is divided by n.
15
Let v be (-4)/18 + (-7)/(315/(-10)). Suppose -3*r - o - 52 + 144 = v, 4*r = -o + 121. What is the remainder when r is divided by 18?
11
Let b be (12/(-8))/((-2)/40). Let a be ((-92)/3)/((-2)/9). Suppose -a = -4*u - b. Calculate the remainder when u is divided by 14.
13
Suppose -4*h = 29 - 121. Let s(u) = 3*u - 27. Let m be s(10). Suppose m*g + 10 - 28 = 0. What is the remainder when h is divided by g?
5
Let a(l) = 5*l + 24. Let q be a(-15). Let o = q + 57. Let v = 16 + 0. What is the remainder when v is divided by o?
4
Let k(v) = 4*v**2 + 149*v - 8. What is the remainder when k(-38) is divided by 59?
47
Let a(i) = i**2 - 10*i. Let h be a(10). Suppose -b - 1 + 10 = h. Calculate the remainder when 14 is divided by b.
5
Suppose -15*x = -199 - 296. What is the remainder when 295 is divided by x?
31
Let s(v) = -5*v + 6. Let k(n) = -6*n + 6. Let i(p) = 4*k(p) - 5*s(p). Suppose 14*o + 46 = 256. What is the remainder when 16 is divided by i(o)?
7
Let d = 283 + -242. Calculate the remainder when d is divided by 34.
7
Let w(p) = -p**3 + 4*p**2 + 2*p - 7. Suppose -5*x - 2*a + 17 = 2*a, 0 = 2*x - a - 12. Suppose x*h = 4*h + 31. What is the remainder when h is divided by w(3)?
7
Suppose 2*o + 4*f - 17 + 5 = 0, o + 4*f = 8. Let m(c) be the third derivative of -c**6/10 - c**3/6 + c**2. Calculate the remainder when m(-1) is divided by o.
3
Suppose 3*i + 200 = -i. Let b = 59 + i. Calculate the remainder when b is divided by 5.
4
Suppose 2*x - 88 = 4*x. Let h = 81 + x. Let d(u) = -29*u - 280. Calculate the remainder when h is divided by d(-10).
7
Let m(z) = -2*z**2 - 42*z - 54. Calculate the remainder when m(-19) is divided by 9.
4
Suppose 0 = -3*h - 9, -5*h + 9*h = r - 54. Calculate the remainder when r is divided by 11.
9
Suppose 34*h - 2342 - 820 = 0. What is the remainder when 1019 is divided by h?
89
Suppose h + 2 = c + 4, -8 = c + h. Let v = -2 - c. What is the remainder when 2/((-8)/(-252)*v) is divided by 12?
9
Let r(x) = 3*x**2 - 13*x - 6. Let b be r(5). Suppose q + 0 = b. Let g = 20 + -13. What is the remainder when g is divided by q?
3
Let i(s) = -s**3 - 5*s**2 + 11*s + 9. Let h be i(-7). Suppose -o = o - h. Calculate the remainder when 43 is divided by o.
13
Let o(x) = -x**2 - 26*x + 511. Suppose 3*v = v - 2*u + 24, -34 = -2*v + 3*u. Calculate the remainder when v is divided by o(-39).
2
Let w be 5/5 + 4 + 1. Calculate the remainder when (20/w)/((-1)/(-1 + -5)) is divided by 11.
9
Let d(x) = 3*x - 4. Let j be d(3). Let z be (36/j)/((-2)/(-10)). Suppose 1 = 2*i + c - z, i - 6 = 2*c. What is the remainder when 45 is divided by i?
13
Suppose 11*d + 9*d - 40 = 0. Let p(t) = t**3 + 4*t**2 + 2*t - 3. Let l be p(-3). Suppose l = -4*x - d + 86. Calculate the remainder when 41 is divided by x.
20
Let r = 49 - 18. Suppose -r = -2*b + 47. Suppose 0 = 4*t - 0*t - 56. Calculate the remainder when b is divided by t.
11
Let r be (-4)/(-14) + 4060/196. Let p(k) = -k**3 + 6*k**2 - 2*k + 2. What is the remainder when p(4) is divided by 7/(r/12) - -3?
5
Suppose 130 = 5*h - 4*q, -h + q = -27