e l*w + 3*o - 28 = 0, -w - 4*o + 10 = o. Calculate the remainder when 14 is divided by w.
4
Suppose 5*i - r - 33 = 0, -11 = -3*i + 2*i - 2*r. Let o(t) = -t**3 + 7*t**2 + 9*t - 9. Calculate the remainder when o(i) is divided by 28.
26
Let k(m) = 3*m**2 - 13*m - 49. Calculate the remainder when 31 is divided by k(-3).
14
Suppose -200 = -d + 5*f + 51, 5*d - 1197 = -4*f. Calculate the remainder when d is divided by 14.
3
Suppose -136 = -4*m - 4*v, m - 3*v = 2*m - 44. Let u(q) = q**3 - 2*q**2 - 5*q + 5. What is the remainder when u(5) is divided by m?
26
Suppose 2*p - 38 = p. Suppose -4*k = p + 22. What is the remainder when 42 is divided by k/(-35) - 102/(-7)?
12
Suppose 0 = -5*k - 3*p + 94, -4*k + 3*p = 14 - 73. Calculate the remainder when 490 is divided by k.
14
Suppose 0 = -3*i - k - 108, -k = 3*i + 3*k + 117. Let p = -23 - i. What is the remainder when 33 is divided by p?
9
Suppose 12 = 2*s - 2. Let v(i) = 4*i**2 + 22*i - 15. Calculate the remainder when v(-7) is divided by s.
6
Let z = -63 - -100. Calculate the remainder when 106 is divided by z.
32
Suppose -5*x = 330 - 5635. Calculate the remainder when x is divided by 38.
35
Let g(o) = -5*o + 457. Calculate the remainder when (159 - 1/1) + 0 is divided by g(85).
30
Let i = 1681 + -2650. What is the remainder when (-6)/14 - i/7 is divided by 14?
12
Let j = -52 + 53. Calculate the remainder when (-1)/(j + 0/(-1)) + 24 is divided by 9.
5
Let s be (-2)/(-11) - (-1722)/(-33). Let l = s - -103. Calculate the remainder when l is divided by (-8)/6*108/(-8).
15
Calculate the remainder when ((-64)/12)/(-2)*(-9723)/(-28) is divided by 19.
14
Calculate the remainder when 56/252 + 11426/18 is divided by 58.
55
Suppose 3854 = 25*t + 22*t. Calculate the remainder when 157 is divided by t.
75
Let h(f) = -f**3 + f**2 - f + 2. What is the remainder when 7 - (-10 - -13)*43/(-3) is divided by h(-2)?
2
Suppose 2*z - 214 = -5*a + z, -2*a - 2*z + 92 = 0. Calculate the remainder when 61 is divided by (-99)/2*(-28)/a.
28
Calculate the remainder when ((-26754)/140 + 6/10)*-2 is divided by 35.
31
What is the remainder when ((7 - 0) + -6)*149 is divided by 30?
29
Suppose -3*f - 285 = -4*a, 0*f + 351 = 5*a - 2*f. Calculate the remainder when a is divided by 13.
4
Let h(r) = -r**3 - 8*r**2 - 2*r + 7. Suppose 16*d - 12*d = -32. Calculate the remainder when 44 is divided by h(d).
21
Suppose 4*x + h - 2548 = 0, 2*h - 1274 = -x - x. Calculate the remainder when x is divided by 71.
69
Suppose -5*x = -1513 - 617. Suppose 4*g + 126 = x. What is the remainder when g is divided by 40?
35
Suppose 3*m - 9 - 24 = 0. Suppose 6*q - 148 = -106. What is the remainder when m is divided by q?
4
Let w(z) = 4*z - 17. Let c be w(5). Suppose 2*l + c + 47 = 0. What is the remainder when 1*(2/(-1) - l) is divided by 12?
11
Let n be (-2 - 3)/((-1)/(-2)). Let p = n - -15. Calculate the remainder when 47 is divided by -8 + p - 30/(-2).
11
Let p = 16 - 12. Suppose 15 = 3*w, -f - 2*w + 8 + p = 0. Calculate the remainder when 41 is divided by (84/(-15))/(f/(-5)).
13
Suppose 2*a = 2, -j - 1933 = 4*j + 2*a. What is the remainder when 1/(3*(-3)/j) is divided by 14?
1
Let t(a) = -a**2 + 4*a - 5. Let z be t(3). Let o = 35 - z. Calculate the remainder when 106 is divided by o.
32
Let w(j) = 6*j**2 - 1. Let y be w(-1). Suppose 0*s - s + 3*o = -57, 4*o = -3*s + 145. Calculate the remainder when s is divided by ((-6)/5)/(y/(-75)).
15
Let s(j) = 2*j**2 + 10*j + 8. Let g be s(-6). Let f = -8 + g. Calculate the remainder when 46 is divided by f.
10
Suppose -3*z - 2*f + 75 = 5, 3*f = 4*z - 116. What is the remainder when 28 is divided by z?
2
Calculate the remainder when 149 + 2/(-4) + 44/(-8) is divided by 77.
66
Let y = -851 + 862. Suppose -6*t - 528 = -t + 4*n, 546 = -5*t + 2*n. Let a = -76 - t. Calculate the remainder when a is divided by y.
10
Let h be (-15)/6*(-4)/5. Let f(c) = 7*c + 6. Calculate the remainder when f(h) is divided by 7.
6
Let x(p) be the second derivative of p**4/12 - p**3/2 + 15*p**2/2 + 5*p. What is the remainder when x(5) is divided by ((-2)/6)/((-1)/39)?
12
Suppose -5*b = -5*u + 6615, 4*u + 13*b - 5296 = 18*b. Suppose 0 = -17*z + 449 + u. What is the remainder when z is divided by 12?
8
Let r = 4845 - 4813. Let b(y) = y**2 - 9*y - 1. Let x be b(5). Let o = 30 + x. Calculate the remainder when r is divided by o.
5
Let x be (1/(-1))/((-1)/25). Suppose x*b = 22*b + 30. Calculate the remainder when 27 is divided by b.
7
Let o(h) = h**3 + 9*h**2 + 11*h - 13. Suppose 0 = 2*j - 3*p - 27, 0*j + 2*j - p = 25. Calculate the remainder when j is divided by o(-7).
4
Let r(d) = -d**2 + d. Let w be r(1). Suppose 3*l - 2*l - 18 = w. Calculate the remainder when -21*(-2)/7 - -64 is divided by l.
16
Suppose -3*s + g + 41 = -3*g, s = -4*g - 13. Let h(i) = -6 + s + 9*i**2 - i**2 + 0 + 2*i. Calculate the remainder when 56 is divided by h(-2).
27
Suppose -50 - 38 = -4*h. Let f(q) = -q**2 + 23*q - 127. Calculate the remainder when h is divided by f(11).
2
Suppose -29*p = -23*p - 42. Calculate the remainder when 97 is divided by p.
6
Let d be (-776)/(-2) + 0/(-12). Suppose 0 = -4*s + 2*l + d, -204 = -2*s - 2*l - 2*l. Calculate the remainder when s is divided by 20.
18
Suppose -3*a = -2*a + 3*w + 1, 5*w = -5. Suppose -a*o + 36 = -88. What is the remainder when o is divided by 13?
10
Suppose -v + 5*v - 4 = u, -5*u = 5*v - 80. Suppose u*b - 53 = -5. What is the remainder when 35 is divided by b?
3
Suppose -2*g = 0, -3*n + 60 = 2*n + 2*g. Suppose -n*f = -9*f - 24. Calculate the remainder when 19 is divided by f.
3
Suppose 6*u - 53 - 61 = 0. Let s = 42 + -7. Calculate the remainder when s is divided by u.
16
Let s = 98 - 83. Let y(m) = -m**2 + 18*m - 19. What is the remainder when y(s) is divided by 7?
5
Let z(l) = -l**2 - 11*l + 8. Let q = 91 - 46. What is the remainder when 3 - (-4 - q)/1 is divided by z(-10)?
16
Suppose 15*n - 121 = -4*o + 20*n, 4*n + 140 = 5*o. Calculate the remainder when 55 is divided by o.
7
Suppose -2*h = 3*x - 227, 5*x + 0*x - 385 = -5*h. Calculate the remainder when 289 is divided by x.
70
Let j = -1713 - -1771. Suppose -4*x + x = -30. Calculate the remainder when j is divided by x.
8
Suppose 4*h + 92 = 4*p, -4*h + h - 74 = -4*p. Let v = -4 - h. Calculate the remainder when v is divided by 2.
0
Let o(a) = 65*a - 31. What is the remainder when o(2) is divided by 51?
48
Suppose -4*w + 9*w = 215. Calculate the remainder when w - -1 - (-7 - -9) is divided by 11.
9
Suppose -4*b + 12 = 0, -7*h + 2*h + 26 = -3*b. What is the remainder when 4/(-8)*1 - (-324)/24 is divided by h?
6
Let d = 53 - 48. Suppose -h = -d*h + 404. Calculate the remainder when h is divided by 27.
20
Suppose -15*q - 11*q = -2132. What is the remainder when 83 is divided by q?
1
Let t(q) = 2*q**3 - 2*q**2 + 2*q + 2. Suppose 5*b - 7 = 2*i + 4, 0 = -5*b + 15. What is the remainder when 37 is divided by t(i)?
9
What is the remainder when (-6220)/(-24) + (-1)/6 is divided by 33?
28
Let o = 610 + -557. What is the remainder when o is divided by 22?
9
Suppose -20*x + 13*x = -427. Calculate the remainder when x is divided by 23.
15
Suppose -2*b + 5*g + 39 = 0, 28 = b - 3*g + 9. Let t(m) = m - 6 + 5*m - 3*m - 2*m. What is the remainder when b is divided by t(11)?
2
Let m = -113 - -134. What is the remainder when 1 + 79 + 5/5 is divided by m?
18
Let x = 166 - 94. Let g = -251 + 266. Calculate the remainder when x is divided by g.
12
What is the remainder when -13*(-3 + 4 + -5) is divided by 9?
7
Let h be 12/9*(-3)/(-2). What is the remainder when (-102)/(-14) + h/(-7) is divided by -13 - 89/(-7) - (-74)/14?
2
Calculate the remainder when 494 is divided by ((-275)/(-10))/((-2)/(-4)).
54
Suppose 4*v - 4 + 20 = 0. Calculate the remainder when 95 is divided by (-12 - 0)*((0 - -3) + v).
11
Let d(i) = -i + 22. Let h(t) = 2*t - 22. Let v(s) = 5*d(s) + 4*h(s). Calculate the remainder when 87 is divided by v(0).
21
Let o be (95 - 1) + (-2 - 2). Suppose a = o - 23. Calculate the remainder when a is divided by 34.
33
Let u = 587 - 404. Let i = -77 + u. Calculate the remainder when i is divided by 36.
34
Suppose 0 = 4*l + 3*d - 562, -284 = -2*l - 0*l - 3*d. What is the remainder when l is divided by (11 - (-3 - 0))*2?
27
Let s(k) be the second derivative of 5*k**3/3 - 4*k**2 - 14*k. Calcul