-5. Suppose 4*p - 5*p = -u*g - 27, -2*g = p - 3. Calculate the remainder when 41 is divided by p.
8
Suppose 4*m + 0*m = t - 18, -2*t - 5*m + 101 = 0. Let a = 55 - t. Calculate the remainder when (-1)/4 - (-567)/12 is divided by a.
13
Let y(p) = -42*p - 5. Let m be y(2). Let z = -84 - m. What is the remainder when z is divided by 1?
0
Let l(j) = 6*j**2 + 5 - 7*j + j**2 + 2 - 6*j**2. Let q be l(6). Let i(c) = 22*c**3 - c**2 + 2*c - 1. What is the remainder when 41 is divided by i(q)?
19
What is the remainder when 647 is divided by 44/(-462) - (-2482)/42?
57
Suppose 3*t = -0*t + 51. Let h be 2 + (-42)/((-4)/4). Let x = h - 13. Calculate the remainder when x is divided by t.
14
Suppose i = 4*i - 21. Let x(k) = 1 - 2*k**3 - 2*k + 5*k**3 + i*k**3 + k**2. Calculate the remainder when 29 is divided by x(1).
9
Let m(x) be the third derivative of 6*x**2 + 0 - 1/60*x**5 + 0*x + 1/3*x**3 - 2/3*x**4. What is the remainder when m(-7) is divided by 22?
21
Let r(n) = 2*n**3 + 2*n**2 - 3*n + 13. What is the remainder when r(2) is divided by 16?
15
Let i(j) = -j**3 + 10*j**2 - 5*j + 8. Calculate the remainder when 245 is divided by i(4).
77
Let v = 22 - 22. Let o = 3 + v. Calculate the remainder when 2*(-3 + 2)*-6 is divided by o.
0
Let j = 13 + -6. Let a = 10 - j. Suppose -3*k - 11 = -h, 18 = 2*h + k - 4. Calculate the remainder when h is divided by a.
2
Let r be (4 - 1) + 4*(-452)/(-16). Let x = 290 - r. What is the remainder when x is divided by 35?
34
Let n be -3 + (-1 + 4/8)*-8. Calculate the remainder when 256/6 + n/3 is divided by 15.
13
Suppose 3*b = -4*h + 1093, h + 10*b - b - 265 = 0. Calculate the remainder when h is divided by 94.
86
Suppose -24 = -46*n + 44*n. What is the remainder when 75 is divided by n?
3
Suppose 3*m - 2 = 34. Suppose 67 = 5*p + m. Let f = 33 - -8. What is the remainder when f is divided by p?
8
Let w = 650 + -633. Calculate the remainder when 288 is divided by w.
16
Let z be (15/(-20))/(1/(-92)). Suppose -5*y = -y - 12. Suppose 3*w + p = 2*p + 69, 3*p = y*w - z. What is the remainder when w is divided by 14?
9
Suppose -4*p = -82 - 10. Suppose 9*c = 4*c - 20. Calculate the remainder when p is divided by (39/(-6))/(2/c).
10
Suppose -2*u + 140 - 32 = 0. Let h = u - 3. Calculate the remainder when h is divided by 3*(10 - 2/2).
24
Let y(q) = q**3 + 14*q**2 - q - 3. Let k be y(-14). Let b = -16 + k. Calculate the remainder when 72 is divided by 1/(-5) + (-126)/b.
22
Let m = -1087 - -1106. What is the remainder when 889 is divided by m?
15
Let a = -836 + 842. Suppose 2*t - 47 = 47. Calculate the remainder when t is divided by a.
5
Suppose 4*m + 5*b - 31 = 6, -5*b = -5*m + 35. Calculate the remainder when 84 is divided by m.
4
Suppose 4 = -d + 8. Suppose 0 = t - 4*t - d*s + 37, 3*t = -5*s + 35. Suppose 5*m = -20, 3*m + 2*m + 44 = 4*n. Calculate the remainder when t is divided by n.
3
Let z(a) = 6*a + 4. Suppose -c - 3*m - 33 = 4*c, 2*m = -4*c - 26. Let l(u) = 2*u**2 + 9*u - 6. Calculate the remainder when z(7) is divided by l(c).
10
Suppose 122 - 14 = 3*u. Suppose 46*v - 45*v = 142. Calculate the remainder when v is divided by u.
34
Let f = 489 + -441. Calculate the remainder when 76 is divided by f.
28
Let c = 740 + -558. Calculate the remainder when c is divided by 39.
26
Suppose -15*k + 881 = -2464. Calculate the remainder when 230 is divided by k.
7
Let t(h) = h**3 + 9*h**2 + 17*h + 33. What is the remainder when 208 is divided by t(-6)?
13
Suppose -4*u = 4*f - 136, -5*u + 132 = -u + 2*f. Suppose -u + 15 = -y. What is the remainder when 31 is divided by y?
14
Suppose r = -4, -4*c - 4*r = -5*c + 151. Suppose 5*l - c - 10 = 0. What is the remainder when l is divided by 5?
4
Let h(w) = -402*w - 408. Calculate the remainder when h(-3) is divided by 10.
8
Let b = 663 - 597. Calculate the remainder when 130 is divided by b.
64
Suppose 0 = -2*w + c + 12, 36 = -2*w + 5*w + 3*c. Let t = 1222 - 1219. Calculate the remainder when w is divided by t.
2
Let d(s) = -83*s - 855. What is the remainder when 520 is divided by d(-11)?
56
Suppose 3*w + 57 = 5*o - 75, 0 = -3*o + 5*w + 92. What is the remainder when 141 is divided by o?
21
Suppose -8*b + 125 = -3*b. Suppose 4*u - 93 - 91 = 0. Calculate the remainder when u is divided by b.
21
Calculate the remainder when 1/2 + 546/28 is divided by 3.
2
Let x(y) be the first derivative of -y**2/2 + 8*y + 2. Suppose 4*i + 0*i = 5*i. Calculate the remainder when 37 is divided by x(i).
5
Let h(n) = 3*n**2 + 13*n. Let v be h(-6). Let m = v - 27. Calculate the remainder when 6 is divided by m.
0
Let z(s) = -s**2 + 10*s + 2. Let h be z(10). Suppose h*i - i = 3*l - 494, 4*i - 664 = -4*l. Let p = l - 68. Calculate the remainder when p is divided by 25.
22
Let z = -955 - -977. What is the remainder when z is divided by 3?
1
Suppose 0*g = 3*g - 15, -g = -5*m + 750. Calculate the remainder when m is divided by 17.
15
Suppose -2*u - 23 = 3*l - 127, -4*l = 2*u - 142. Calculate the remainder when l is divided by (-20)/7*2*35/(-20).
8
Let f = -579 + 584. Let c(j) = -j**2 - 2*j - 1. Let i be c(-1). Let d(n) = -n + 4. What is the remainder when f is divided by d(i)?
1
Let m(w) be the first derivative of w**4/4 - 2*w**3 + 5*w**2/2 + 2*w + 3. Suppose -10*p - 19 = -29. What is the remainder when m(5) is divided by p?
0
Let a be (0 + 2/(-5))*(0 + -10). Suppose 43 = a*o + z, -3*z = -o + z - 2. Let t(j) = -2*j**3 + j**2 + 2*j + 2. What is the remainder when t(-2) is divided by o?
8
Let h(j) = 8*j - 93. Let f(m) = -24*m - 6. Calculate the remainder when f(-6) is divided by h(16).
33
Suppose 10*m - 454 + 54 = 0. Let p = 46 - m. Calculate the remainder when 89 is divided by p.
5
Let f be ((-12)/2)/(25 + -23). Let s(g) = -g + 2. What is the remainder when 11 is divided by s(f)?
1
Suppose h + 0 - 4 = 0. Let x = 0 + h. Let b(y) = -8*y + 33. Calculate the remainder when x is divided by b(4).
0
Let z = -31 + 34. Suppose -2*m + 116 = -v, -5*m + 6*v = z*v - 292. Calculate the remainder when m is divided by 19.
18
Let s(c) = -c**2 + 12*c + 2. Suppose 3*q - q = 10. Suppose 9*z - 80 = q*z. Calculate the remainder when s(7) is divided by z.
17
Suppose 12 = 4*p, 3*a - p + 0 = 6. Suppose 36 = -0*o + a*o. What is the remainder when (-4)/(-6) + (-97)/(-3) is divided by o?
9
Suppose -15*l = 47*l - 434. What is the remainder when 516 is divided by l?
5
Suppose 131 = -5*u + 156. Suppose 0 = u*m - 28 - 17. Calculate the remainder when 23 is divided by m.
5
Suppose 210 = 65*k - 58*k. Calculate the remainder when 94 is divided by k.
4
Suppose -6 = 2*a, -f + 2*f + 5*a + 11 = 0. Suppose f*i - 5*i = -11. Calculate the remainder when 64 is divided by i.
9
Suppose 3*s = -4*i - s - 108, 3*i = s - 97. Let g = -18 - i. Let f(j) = j**3 + 6*j**2 - 4*j + 3. What is the remainder when f(-4) is divided by g?
12
Let m = -29 + 30. Let c = m - 0. Calculate the remainder when 53 is divided by 180/16 + c/(-4).
9
Suppose -u + 4 - 173 = -2*a, 0 = -5*a + 5*u + 420. What is the remainder when a is divided by 45?
40
What is the remainder when (2265/(-9))/((-15)/9) is divided by 77?
74
Let g(n) = -n**3 + 12*n**2 - 7*n + 10. Let m(x) = -x**2 - 47*x - 463. Calculate the remainder when g(11) is divided by m(-32).
3
Let u = -14 + 12. Let r = u - -13. Suppose 2*f - 168 = -4*a, -2*f = 3*a + f - 129. What is the remainder when a is divided by r?
8
Let d(l) = l**3 + 2*l**2 - 1. Let q be d(-1). Suppose q = 4*o - 68. What is the remainder when 30 is divided by o?
13
Suppose 0 = -2*m + 3*m + 4*f + 15, -2*f = -4*m - 6. Let o be 0 + 0 + m - -8. Let r(z) = 10*z + 3. What is the remainder when r(o) is divided by 14?
11
Suppose 0 = 2*y + 3*y. Suppose 0 = 2*v + 10, y*v - 3*v - 105 = -5*g. Calculate the remainder when 45 is divided by g*(24/9 - 2).
9
Calculate the remainder when 322 is divided by ((-72)/16 + 3)*-38.
37
Let c be (-1 - -18)/((-3)/(-12)). Let n = 111 - c. Let y = -2 - -17. Calculate the remainder when n is divided by y.
13
Let s(c) = 5*c**2 - 17*c - 18. What is the remainder when 4 is divided by s(-1)?
0
Suppose 2*m = 5*m. Suppose m*c - 45 = -3*c. Let w = 28 - c. What is the remainder when w is divided by 7?
6
Suppose -2*z = -3*u - 7, 0 = -z + 4*u + 5 + 1. Let o(y) = -2 - y**z - 22*y + 6 + 37*y. Calculate the remainder when o(9) is divided by 15.
13
Suppose 0 = 5*n + 2*y - 