- -5. Suppose -y*t = 12 - 47. Suppose -t*x = -6*x - 3. Calculate the remainder when 11 is divided by x.
2
Let l(s) = -s**3 + 14*s**2 - 20*s. Calculate the remainder when l(12) is divided by 26.
22
Let y be (2/(-4))/((-3)/2 - -1). What is the remainder when 79 is divided by y*(-1 + 2) + (-5 - -31)?
25
What is the remainder when 170 - (10 - 36/9) is divided by 28?
24
Let g = 9 + 122. Calculate the remainder when g is divided by 50.
31
Let m(v) = 32*v**2. Suppose -16 = -s - 3*l, -l - 27 = -4*s + 50. Let d = s + -10. Calculate the remainder when m(-1) is divided by d.
5
Suppose -12*z = -25*z + 2*r + 889, -r + 4 = 0. What is the remainder when 114 is divided by z?
45
Let z be ((-2)/(-1) - 2) + 25. Let t = z - 12. What is the remainder when 50 is divided by t?
11
Let b(s) = -s**3 + 16*s**2 + 12. Let y(q) = -q**2 + 6*q + 23. Let t be y(7). Calculate the remainder when 43 is divided by b(t).
7
Let w = -21 - -23. What is the remainder when (105/9 + -1)/(w/6) is divided by 9?
5
Let n(u) = u**2 - u. Let l be n(2). Suppose 3*p = l*p + 3. Suppose -i = -4*i + 33. Calculate the remainder when i is divided by p.
2
Suppose -43*b + 144 = -39*b. What is the remainder when b is divided by 13?
10
Suppose -3*n + 446 = 4*c, -29*n + 558 = -25*n - 2*c. Calculate the remainder when n is divided by 40.
22
Calculate the remainder when 261 is divided by -3 + (-35)/(-14) + 134/4.
30
Let h = -8 + -22. Let y = h + 17. Let l = y + 22. What is the remainder when 25 is divided by l?
7
Suppose -19*h - 120 = -34*h. Suppose -3*d + 4*d - 3*g = 31, 3*g = -2*d + 35. Calculate the remainder when d is divided by h.
6
Let p(z) = z**3 - 3*z**2 - 6*z + 9. Let y be p(4). Let v = 4 - y. Suppose 4*x - v*u - 31 = 0, x + 12 = 3*x + 2*u. What is the remainder when 18 is divided by x?
4
Let m be (0/(-1))/(6 - 7). Suppose m = 3*j + 15, -53 = 4*s + 4*j + j. Let t(i) = -i**3 - 8*i**2 - 9*i - 1. What is the remainder when t(s) is divided by 7?
6
Suppose 3*y - 2*n - 3*n + 1 = 0, 5*y - 23 = -4*n. Suppose -550 = -2*k - y*k. What is the remainder when (-7 - -7) + k/2 is divided by 19?
17
Suppose 3*u - b + 5*b - 21962 = 0, 4*u - 3*b = 29291. Calculate the remainder when u/84 + (-1)/6 is divided by 18.
15
Let j(a) be the third derivative of -a**6/120 + 2*a**5/15 - 11*a**4/24 + 13*a**3/6 + 3*a**2. What is the remainder when j(6) is divided by 4?
3
Let p(g) = -42*g**3 - 2*g**2 + 3*g + 4. What is the remainder when p(-1) is divided by 3?
2
Let s(a) be the first derivative of -a**4/4 - 11*a**3/3 - 9*a**2/2 + 11*a + 10. Calculate the remainder when 4 is divided by s(-10).
0
Suppose -m + 310 = 74. What is the remainder when m is divided by 20?
16
Let r(j) = -j**3 - j**2 - 2*j + 22. Let h = 24 + -24. Calculate the remainder when 64 is divided by r(h).
20
Let f = -26 + 38. Suppose 2*n - 3*n = -30. Let x = n - -4. Calculate the remainder when x is divided by f.
10
Suppose 34 = 2*o - 4*b, 0 = -3*o - 2*b + 65 - 22. What is the remainder when 117 is divided by o?
12
Suppose 4*x + 4*q - 52 = 0, 0 = 3*x + 4*q + 9 - 51. What is the remainder when 46 is divided by x?
6
Let r(s) = -130*s - 137. Calculate the remainder when r(-4) is divided by 32.
31
Let g(c) = 11*c**2 - 4*c - 7. Let a(i) = 1. Let w(v) = 4*a(v) + g(v). Calculate the remainder when (-325)/(-15) + 2/(-3) is divided by w(-1).
9
Suppose -2*s + 12 = -s. Let g = 69 + -36. Suppose -g = -0*d - d. Calculate the remainder when d is divided by s.
9
Suppose 3*t = 100 - 16. Suppose 0 = 5*g - c - t, -g = 4*g + 4*c - 38. What is the remainder when 33 is divided by g?
3
Suppose 3*g = -5*j - 6, 5 = -3*j - 4. Suppose g*y - u - 2*u - 21 = 0, 0 = -3*y - 2*u + 6. Calculate the remainder when 9 is divided by y.
1
Suppose 0 = -2*u - 3*u - 2*y + 11, 3*u + 2*y = 5. Suppose -12 = s - u*s. What is the remainder when s - (2 + -2 - 1) is divided by 2?
1
Let o = 345 - -250. Calculate the remainder when o is divided by 46.
43
Let o(j) = j**3 + 9*j**2 + 13*j + 2. Suppose -u - 8*x = -7*x + 4, 11 = -5*u + 4*x. Calculate the remainder when o(u) is divided by 9.
8
Let u = 11 - 11. Suppose u = 4*a - 2*a - 6. Suppose -a*g - 4*y + 227 = 0, -7*g + 2*g + 5*y = -355. What is the remainder when g is divided by 15?
13
Suppose -4*j - 667 = -3*l, 2*l = -5*j + 453 - 16. Calculate the remainder when l is divided by 76.
69
Let m(t) = -t**3 - t**2 + 63. What is the remainder when m(0) is divided by 33?
30
Let b = 3031 - 2960. Calculate the remainder when 564 is divided by b.
67
Calculate the remainder when (5/(-3) - -2)/((-23)/(-16491)) is divided by 15.
14
Suppose 0 = -5*m - 2 + 12. Let u = m + 0. Let p = 156 + -155. Calculate the remainder when u is divided by p.
0
Let z = 3122 - 1909. What is the remainder when z is divided by 38?
35
Suppose 5*u - 54 = 3*b, -4*b = 4*u - 7*b - 42. What is the remainder when 2/3*-3*(-70)/4 is divided by u?
11
Let s(t) be the first derivative of -11*t**2 + 7*t - 7. Calculate the remainder when s(-3) is divided by (9/27)/(2/114).
16
Let f(b) = b + 8. Let l be f(3). Suppose 0*a + 6 = a. Suppose -2*m = a, l = -w - 0*m - 5*m. Calculate the remainder when 13 is divided by w.
1
Let u(w) = -28*w + 3. Let l = -50 - -46. What is the remainder when u(l) is divided by 29?
28
Suppose 36*k - 3195 = 5841. Calculate the remainder when k is divided by 24.
11
Let b(w) = -w**2 - 11*w + 4. Let t be (3 - (-2 - -10)) + 3. Calculate the remainder when (t - (-1 + -2))*17 is divided by b(-11).
1
Let f(y) = 34*y + 4. What is the remainder when f(3) is divided by (-3216)/(-180) + 12/90?
16
Suppose -5*s + 377 = -5*z + 1042, 0 = -z - 2*s + 124. What is the remainder when 1427 is divided by z?
127
Suppose 4*h + 5*r = 62, -3*r + 2 - 22 = -2*h. What is the remainder when 61 is divided by h?
9
Let h(r) = 45*r**2 + 4*r - 4. Let b be h(2). Suppose 2*f + 4*z - b = 0, z - 4*z = 3*f - 267. What is the remainder when f is divided by 29?
28
What is the remainder when 274 is divided by (-225)/(-30)*(10/6 + 1)?
14
Let x(z) = 7*z - 84. What is the remainder when 159 is divided by x(15)?
12
Suppose w - 5*j - 17 = 0, 9*j - 4*j + 9 = -3*w. What is the remainder when 12 is divided by ((-13)/26)/((-26)/12 + w)?
0
Suppose 2*h = 4, -f - 3*f - h = -18. Suppose 0 = -f*x + 35 + 65. Calculate the remainder when (-1 - -3) + 49 + -2 is divided by x.
24
Calculate the remainder when 322 is divided by 4/(-3) - (-10100)/150.
58
Let h = 74 + -65. Suppose 7*i - h*i + 86 = 0. Suppose -63 = -5*k - 2*c, -28 = k - 5*k + 4*c. Calculate the remainder when i is divided by k.
10
Suppose 0 = -4*k + 4*o + 180, -2*k + 20 + 64 = -4*o. Calculate the remainder when 79 is divided by k.
31
Let z = -142 - -228. Calculate the remainder when z is divided by 23.
17
Suppose 6*j = 3*j - 3, 271 = 4*h - 3*j. What is the remainder when h is divided by 15?
7
Suppose -10*c + 139 = -231. What is the remainder when c is divided by 30?
7
Suppose 3*z + 3 + 9 = 0, -2*j - z + 36 = 0. Calculate the remainder when 1176/8*(-2)/(-3) is divided by j.
18
Suppose -l - 5*c = -29 - 14, 3*l - 115 = -c. What is the remainder when l is divided by 12?
2
Let a(s) = 6*s**3 + s - 2. Let u be a(1). Suppose 3*j - 4*j = -6. Suppose u*i = 3*i + j. Calculate the remainder when 3 is divided by i.
0
What is the remainder when 2489 is divided by (28 - 33) + (0 - -35)?
29
What is the remainder when 6/(-4)*1/(12/(-752)) is divided by 26?
16
Let o = -648 + 691. What is the remainder when o is divided by 33/(-2)*12/(-9)?
21
Suppose 2*x - 3*x + 3*b = -6, -4*x - b - 2 = 0. Let p(r) = 2*r**3 - r + 19. Calculate the remainder when p(x) is divided by 11.
8
What is the remainder when 16 is divided by (990/(-220))/((-2)/4)?
7
Let z = 183 - 156. What is the remainder when 294 is divided by z?
24
Let r be (-4)/18 - 160/(-72). Let z be (7 - r)*(-28)/10. Calculate the remainder when 30 is divided by 0 - 3 - (z - 5).
14
Suppose -3*x - 8 = -5*x. Suppose x*u = -56 - 88. Let p = -20 - u. What is the remainder when 47 is divided by p?
15
Calculate the remainder when 45 is divided by (5 - 3)/(-6*8/(-312)).
6
Calculate the remainder when (-12938)/(-10) + 48/1080*27 is divided by 8.
7
Suppose 4*l + t = -0*t - 36, -5*l - 45 = -t. Let m = 15 + l. Calculate the remainder when m is divided by 4.
2
Let t = -11 + 14. Let p be (-20)/5*(-12)/t. Let v = p + 17. What is the remainder when v is divided by 12?
9
Let 