
29
Let m(a) = -a**3 - 9*a**2 + 12*a + 24. Let r = -2 - -7. Suppose -3*z - 8 = -r*z. Calculate the remainder when m(-10) is divided by z.
0
Suppose -2*f = 4*b - 5*f - 13, b = -f - 2. Let a = 9 + b. What is the remainder when 127 is divided by a?
7
Let j be 3 + 4 + 13 + 3. Let z = 25 - j. Suppose 4*a + 59 = c, c - z*c = 4*a - 75. Calculate the remainder when c is divided by 23.
21
Let t(p) = -88*p - 254. What is the remainder when t(-7) is divided by 36?
2
Let p(n) = -n**3 - 9*n**2 + 5*n + 57. Let t be p(-9). Suppose -36 = -4*w + t. Let g = 40 + -17. Calculate the remainder when g is divided by w.
11
Suppose 2*k - 6 + 2 = 0, 0 = -4*c - 3*k + 190. Let d = 5 - -8. What is the remainder when c is divided by d?
7
Let v = 56 - 29. Let d = 189 - 660. Calculate the remainder when d/(-9) - 3/9 is divided by v.
25
Suppose 2*a + 2 = 4*o - 14, 0 = 4*o - a - 20. Let y(c) = c**2 + 10*c - 22. What is the remainder when y(-13) is divided by o?
5
Let m be (-3)/4 - 131/(-4). Let d = m + -21. Let p = 7 + d. Calculate the remainder when 69 is divided by p.
15
Let z be -2 + 2 + -1 + 104. What is the remainder when 2/8 + z/4 is divided by 8?
2
Let n(x) = -14*x**3 + 2*x + 2. Let g be n(-1). Let h = g - 7. Calculate the remainder when 13 is divided by h.
6
Let s = 311 - 307. What is the remainder when 14 is divided by s?
2
Let m be (-1 - 1)*(-3)/2. Let i be 1/(2/(15 + m)). Let o(p) = -p**3 + 9*p**2 + 3*p - 12. What is the remainder when 27 is divided by o(i)?
12
Let u be -1*5/(2 - 3). Suppose -7*j + 32 = -u*j. What is the remainder when 45 is divided by j?
13
Suppose -12*b + 145 + 431 = 0. Calculate the remainder when b is divided by 15.
3
Suppose 0 = -6*f - f - 574. Let b = f + 135. Calculate the remainder when b is divided by 11.
9
Let n(g) = -27 + 11 - 9*g - 36. Let j = -68 - -120. What is the remainder when j is divided by n(-7)?
8
Let j(x) = -2*x + 3*x**2 - 5*x**2 + 5 - x**3 - 9*x**2. What is the remainder when j(-11) is divided by 15?
12
Let c(m) = 12*m + 317. Calculate the remainder when 81 is divided by c(-20).
4
Suppose 16 = 2*q + 5*l, 5*q - 2*l + 0*l = 11. Let j be (2 + -2)*(2 - q). Let s = 15 - j. What is the remainder when 59 is divided by s?
14
Let d(l) = -14*l**2 - 7*l - 6. Let a(r) = -r**2 - r - 1. Let v(q) = 5*a(q) - d(q). What is the remainder when ((-160)/(-15))/((-1)/(-9)) is divided by v(-2)?
30
Suppose 18*r = -1079 + 2465. Suppose 5*u + i - 394 = 8, 5*u = -3*i + 396. Suppose u = s + 2*s. What is the remainder when r is divided by s?
23
Let k(n) = 4*n**2 - 2*n + 1. Let c be k(1). Suppose 5*t + 4 + 4 = -c*v, t = 2. Calculate the remainder when (v/(-4))/((-2)/(-28)) is divided by 6.
3
Let r = -42 + 25. Let p = 9 - r. Calculate the remainder when p is divided by 7.
5
Suppose 2*v + 0*v = 40. Let r(c) = -8*c - 50. Let x = -114 + 103. Calculate the remainder when r(x) is divided by v.
18
Suppose -6*k + 258 = -3*k - 4*c, -3*c = -4*k + 351. What is the remainder when k is divided by 67/5 - 4/10?
12
Let w be 3*-5*(-1)/(-1). Let d(t) = t - 19. Let u be d(9). Let s = u - w. Calculate the remainder when 12 is divided by s.
2
Let m = -544 + 555. Calculate the remainder when 83 is divided by m.
6
Suppose 5*f - 50 = 3*x, 3*f + 3*x + 8 = 2*f. Let j(m) = 2*m**2 - 13*m + 43. Calculate the remainder when j(f) is divided by 17.
16
Let h(y) = -y**3 + 7*y**2 - 5*y + 3. Suppose 0 = -0*q + 5*q + 2*w - 25, -q = 4*w - 5. Calculate the remainder when h(6) is divided by q.
4
Suppose 0 = -t - 2*g + 14, 33 = 4*t + g - 23. Calculate the remainder when 279 is divided by t.
13
Suppose -5*w = -w + 5*g + 124, -2*g + 96 = -4*w. Let h = -78 - -137. Let q = w + h. Calculate the remainder when q is divided by 18.
15
Suppose 0 = -12*x - 17*x + 696. Calculate the remainder when 167 is divided by x.
23
Let m = -577 + 723. What is the remainder when m is divided by 52?
42
Let i = -3 - -8. Suppose 0 = 7*k - i*k - 146. What is the remainder when k is divided by 25?
23
Suppose 3202 = 127*m + 789. Suppose 146 = 2*q - 0. Calculate the remainder when q is divided by m.
16
Suppose -4 - 2 = -2*h. Suppose -27 = h*g - 6*g. Let w = 1145 + -1110. What is the remainder when w is divided by g?
8
Let i = -41 - -21. Let n = -20 - i. Suppose 4*c - 15 = u, 2*u - 3*c + 5 = -n*u. Calculate the remainder when 18 is divided by u.
3
Suppose -k + 54 = 8. What is the remainder when k is divided by 27?
19
Suppose -2*v + 40 = -7*v. Let x(o) = -2*o - 1. Let t(z) = z - 6. Let s(d) = 2*t(d) + 6*x(d). What is the remainder when s(v) is divided by 21?
20
Let n = 25 + -18. Let o = 23 - n. Suppose 2*g = -f + 29, 4*f = 7*g - 6*g + 116. What is the remainder when f is divided by o?
13
Suppose -p = 3*p - 48. Let h = -54 + 57. Calculate the remainder when p is divided by h.
0
Let r = 40 - 10. Let n be ((-4)/8)/((-2)/4). Suppose 2*w + 39 = 4*f + n, -5*f + 64 = 3*w. What is the remainder when r is divided by f?
8
Let a(i) = 18*i - 11. Let p be 3/(12/16) + -2 - -1. What is the remainder when a(p) is divided by 22?
21
Let u(c) = -7*c**3 - 2*c**2 - 2*c - 1. What is the remainder when 39 is divided by u(-1)?
3
Let v be (-4 + (-48)/(-9))*-15. What is the remainder when 38 is divided by 4/((-88)/v + -4)?
8
Suppose 8*m + 504 = 12*m. Let b = m + -45. Calculate the remainder when b is divided by 14.
11
Let x(c) = 17*c**2 - c - 1. Calculate the remainder when 10*2*(-585)/260*(-10)/9 is divided by x(-1).
16
Let s(w) = -w + 6. Let b be s(4). Calculate the remainder when b + -2 - -3 - -36 is divided by 21.
18
Calculate the remainder when (-5)/(-4)*(-72)/(-15) is divided by 2.
0
Suppose 10 = 5*b - 0*b. Suppose -b*f = -4*f. Suppose f = -8*q + 3*q + 70. Calculate the remainder when 54 is divided by q.
12
Let z(k) = -2*k**3 - 5*k**2 - 5*k - 5. Let b be z(-4). Suppose 5*c - 57 = b. Calculate the remainder when 59 is divided by c/32 + (-57)/(-4).
14
Suppose 0 = 3*t + 2*r - r - 66, -2*t - 3*r = -51. Calculate the remainder when t is divided by 3.
0
Suppose 13*d - 17*d = -104. Let m = d - 21. Suppose 0 = -4*z - m*l + 224, -l + 118 = 2*z + 3*l. Calculate the remainder when z is divided by 27.
24
Let j = 237 - 106. What is the remainder when j is divided by 27?
23
Let k = 86 + -142. Let l = k - -115. What is the remainder when l is divided by 30?
29
Let g(d) = d**2 - 14*d - 12. Suppose 3*h - 9 = 33. Let n be g(h). Let s = n + 27. Calculate the remainder when s is divided by 8.
7
Let h(f) = 67*f + 18. Let u be h(-5). Let w = u + 475. What is the remainder when w is divided by 32?
30
Let v = 2527 - -362. What is the remainder when v is divided by 49?
47
Let a(j) = -j**3 + 6*j**2 - 3*j - 6. Let n = 88 + -69. What is the remainder when n is divided by a(5)?
3
Let s = -3 + 17. Let n(b) = -b**3 - 31*b**2 - 132*b - 60. Let g be n(-26). Let z = s - g. What is the remainder when 64 is divided by z?
20
Calculate the remainder when 63 is divided by (-8 - -20)*((-15)/(-6) - 2).
3
Let k = 17 + -9. Suppose 2*f - k = 0, -2*u - u - 4 = -4*f. Suppose -i - 102 = -u*i. Calculate the remainder when 133 is divided by i.
31
Let d be (18 - -13)*3*1. Suppose 6*b - 3*b = d. What is the remainder when b is divided by 4?
3
Suppose 0 = 57*a - 51*a - 1698. Let l = a - 122. What is the remainder when l is divided by 27?
26
Suppose 2*f + 5*p - 55 + 24 = 0, 3*f - p - 4 = 0. Let t = 3976 + -3954. Calculate the remainder when t is divided by 18/2 - 3/f.
6
What is the remainder when 53 + -4 + 2 - -3 is divided by 10?
4
Suppose 0*k - 5*k = -55. Let u = -1291 - -1321. Calculate the remainder when u is divided by k.
8
Let s(p) = p**2 + 10*p - 14. Let n(f) = 6*f**2 + 49*f - 69. Let g(w) = 2*n(w) - 11*s(w). Calculate the remainder when 111 is divided by g(13).
24
Let b(o) be the third derivative of -o**5/30 - o**4/12 + o**3 + 26*o**2. Suppose t - 11 = -0*t. What is the remainder when t is divided by b(0)?
5
Calculate the remainder when 62 is divided by 21/49 - (-172)/7.
12
Suppose 0 = 2*s + 4*j - 14, 4*s + j = -2*j + 13. Suppose 0*d + s = d. What is the remainder when 1 is divided by d?
0
Let f = 5 + -17. Let o = -207 + 218. Calculate the remainder when (-8)/f - 188/(-6) is divided by o.
10
Let z(y) = -23*y - 11. What is the remainder when 78 is divided by z(-1)?
6
Let a(w) = -4 - w + 36 - 2*w + w. What is the remainder when a(0) is divided by 17?
15
Suppose 0*r + 14 = 2*r. Suppose 7*i