) = -l + 1. Let p(v) = -2*v - 7. Let c(q) = p(q) + 3*z(q). Let k be c(-4). Suppose 40 = 2*u - k. Calculate the remainder when u is divided by 10.
8
Suppose -i - 2*t + 46 = 0, 2*t + 36 = i - t. Calculate the remainder when i is divided by 15.
12
Suppose -4*b + 33 = -3*t, -b + 4*t + 1 = -4. What is the remainder when 25 is divided by b?
7
Suppose 0 = -2*x + 3*z + 30, -4*x + 0*z + z = -60. Calculate the remainder when 42 is divided by x.
12
Let f = -58 + 75. Calculate the remainder when f is divided by 7.
3
Suppose 5*a + 14 - 199 = 0. Let o(j) = -j**3 - 3*j**2 + 6*j. What is the remainder when a is divided by o(-5)?
17
Let w(g) = -g**3 + 3*g**2 + 11*g + 8. What is the remainder when 82 is divided by w(-3)?
24
Let d = 5 + -3. Suppose -h + 0*u + 15 = d*u, 0 = h + 3*u - 19. Calculate the remainder when 75/4 - (-2)/8 is divided by h.
5
Suppose z - 6*c + c = -18, -8 = -2*z - c. Let x be 37/7 + (-2)/7. Suppose x*s = 15 + 5. Calculate the remainder when s is divided by z.
0
Let j = 68 + -63. Calculate the remainder when 6 is divided by j.
1
Let p = 71 - 19. Suppose 0 = 3*h - 4*h + p. What is the remainder when h is divided by 11?
8
Suppose -6*v - v = 35. Suppose 4*m + 5*t + 103 = 0, 0*m - 4*t = -3*m - 85. Let q = v - m. Calculate the remainder when 43 is divided by q.
21
Let m(x) = 0*x - 5*x - 7 + 3*x. Let z be m(-6). Suppose -4*v - s + z = -21, 2*s + 4 = 0. What is the remainder when v is divided by 4?
3
Let b = -4 - -8. Suppose -t + b*t = 12. What is the remainder when t is divided by 2?
0
Let f(t) be the first derivative of -t**3/3 - 13*t**2/2 - 12*t + 8. What is the remainder when 33 is divided by f(-10)?
15
Let v = -55 - -96. What is the remainder when 79 is divided by v?
38
Let s(a) = -a**3 + 6*a**2 - a + 6. Let c be s(6). Suppose c = -2*f - 15 + 47. What is the remainder when f is divided by 10?
6
Let z be 159 - 0 - (-12 + 9). Suppose -4*m + z - 22 = 0. Calculate the remainder when m is divided by 19.
16
Let z(h) be the second derivative of -3*h**2 + 0 - 1/3*h**4 + 3*h - 5/6*h**3 - 1/20*h**5. Calculate the remainder when 53 is divided by z(-4).
11
Suppose 0 = 2*r - 4*x - 72, 0*x + 3*x = -2*r + 72. Calculate the remainder when 106 is divided by r.
34
Let d(y) = y**2 - y. Let c(l) = l - 6. Let k be c(5). Calculate the remainder when 2/3*(-6)/(-2) is divided by d(k).
0
Suppose 0 = 3*l - 21 - 42. Let n = 32 - l. Let g(j) = j**3 + 9*j**2 - 2*j + 2. Calculate the remainder when g(-9) is divided by n.
9
What is the remainder when (-3 - (-1 + 0)*2)*-83 is divided by 21?
20
Let o(k) = -k - 9. What is the remainder when 16 is divided by o(-14)?
1
Suppose 0 = 8*q - 16*q + 120. What is the remainder when 74 is divided by q?
14
Suppose 4*f + 299 - 997 = -2*t, 2*f = t + 359. Calculate the remainder when f is divided by 36.
33
Let y = 92 - 66. Let f = -7 + y. Calculate the remainder when f is divided by 7.
5
Let l(m) = 21*m**2 + m. Let g be l(-1). Let t = 32 - g. Calculate the remainder when 23 is divided by t.
11
Let y be -2 - (0 - (1 - 0)). Let h = 4 + y. Suppose v = 2*j - 26, 4*v - 70 + 20 = -h*j. What is the remainder when 40 is divided by j?
12
Suppose a - 3*t - 15 = 0, -4*a - 10*t + 78 = -13*t. What is the remainder when 41 is divided by a?
20
Let s be 4/(-10) - (-6)/15. Suppose s = -3*k - 38 - 55. Let i = k + 45. What is the remainder when 39 is divided by i?
11
Let h be (10/2)/((-1)/(-3)). Let i = 18 + -12. What is the remainder when 11 is divided by 5/h + 34/i?
5
Let b be (-14)/2 - (-1)/1. What is the remainder when 3 is divided by 3/2 + (-3)/b?
1
Suppose -q + v + 0 = -9, 0 = 3*q + v - 47. Suppose -2*y + 5*u = -34, -2*y - 3*u = -3*y + 15. What is the remainder when 1*-1 + y + 0 is divided by q?
12
Let t(v) = -50*v + 47*v + v**3 - v**2 - 6*v**2 - 2. What is the remainder when t(8) is divided by 10?
8
Calculate the remainder when 2 + (-16)/(-4) + -2 is divided by 5/(15/(-9)) + 4.
0
Let t(m) = -4*m + 1. Let o be (-13)/(-11) - (-4)/(-22). Let n = o + 49. What is the remainder when n is divided by t(-4)?
16
Suppose -3*a + 1 + 3 = w, -5*w = 2*a + 19. What is the remainder when 4 is divided by a?
1
Suppose 14 = g - 2. Let l = -7 + -8. Let w = -9 - l. Calculate the remainder when g is divided by w.
4
Let b(a) = -a**3 - 3*a**2 - 2*a + 4. Let f(j) = -j**2 + j - 6. Let d be f(0). Let n be ((-3)/3)/((-2)/d). Calculate the remainder when 29 is divided by b(n).
9
Let k = -18 + 29. Let q = 0 + 0. Suppose 3*z = -q*z + 96. Calculate the remainder when z is divided by k.
10
Suppose -22*d = -18*d - 40. Calculate the remainder when 26 is divided by d.
6
Let k(f) = -14*f**2 - 26*f + 6. Let d(h) = 5*h**2 + 9*h - 2. Let g(w) = 11*d(w) + 4*k(w). What is the remainder when g(-3) is divided by 3?
2
Suppose -3*m = -m - 26. Calculate the remainder when 34 is divided by m.
8
Suppose -9 = 2*f - 5*f. Suppose 8 - 18 = -2*h. What is the remainder when h is divided by f?
2
Suppose -26 = -6*d + 4*d. What is the remainder when 37 is divided by d?
11
Let f(n) = 3*n + 2*n - 2*n + 2*n**2 - 4. Calculate the remainder when (-45)/(-4)*(-8)/(-3) is divided by f(-4).
14
Suppose 3*z - 35 = 2*z. Suppose 12*h - 22*h = -90. What is the remainder when z is divided by h?
8
Let o be (-14)/4 - (-1)/(-2). Let m be (-68)/(-10)*10/2. Calculate the remainder when 17 is divided by o/(-12) - m/(-6).
5
Let s be ((-1)/(-2))/(3/72). Suppose -w - 4 = -8, 3*w = -c + s. Suppose -2*l = -c*l - 8. Calculate the remainder when 10 is divided by l.
2
Suppose 0*d = 4*d - 40. Suppose d = -3*u - 2*u. What is the remainder when (-1)/((-4)/(-62))*u is divided by 11?
9
Let y = -9 + 11. Let s(n) = -n**2 - 4*n. Let b be s(-3). Suppose 4*o + 42 = y*c, b*c = -2*c - 5*o + 165. What is the remainder when c is divided by 8?
5
Let w = 144 - 83. Calculate the remainder when w is divided by 16.
13
Suppose -5*a = 4*w + 16, 3*w = -a + 8 - 20. Let k(q) = q**3 + 4*q**2 + 4. Let r be k(w). What is the remainder when 1805/55 - r/(-22) is divided by 9?
6
Let m be (6/4)/(12/16). Let h(v) = -m*v**2 + v**2 - 7 - 14*v + 0*v - 7. Calculate the remainder when 39 is divided by h(-12).
9
Suppose -2*f + 166 = -22. Let s be 374/(-6) + 2/(-3). Let d = s + f. What is the remainder when d is divided by 11?
9
Suppose -7*q - 120 = -10*q. Calculate the remainder when q is divided by 11.
7
Let n(r) = r**2 + 3*r - 10. Let j be n(4). Suppose g + b - 5*b = j, -g = b - 13. What is the remainder when 25 is divided by g?
11
Let a = 3 + -3. Let n(r) = -3*r**3 - r**2 + r - 16. Let t(z) = z**3 - z. Let q(k) = -n(k) - 2*t(k). What is the remainder when 30 is divided by q(a)?
14
Calculate the remainder when 2/((-2)/14*-2) is divided by (-1)/(-1) + (4 - -17)/7.
3
Suppose -2*h + h + 12 = 0. What is the remainder when 23 is divided by h?
11
Suppose -4 - 35 = 3*y. Let q = y + 29. What is the remainder when 45 is divided by q?
13
Suppose 0 = 3*c - 473 - 40. Calculate the remainder when c is divided by 43.
42
Let f be 3/(-6)*1*-6. Suppose -4*g = -2*g - 4*d - 68, 4*d + 112 = f*g. What is the remainder when g is divided by 15?
14
Let x(j) = -j**3 - 7*j**2 - 2*j - 9. Let i(f) = -3*f - 5. Let o be i(-5). Suppose o = -2*n + 36. Calculate the remainder when n is divided by x(-7).
3
Calculate the remainder when 12 is divided by 3/(-2)*(-14)/3.
5
Let u = -3 + 7. Calculate the remainder when 10 is divided by u.
2
Suppose z + 4*z - 95 = 0. Suppose 36 = -54*i + 50*i. Let c = i + z. What is the remainder when c is divided by 4?
2
Let q = 23 - 14. Calculate the remainder when 10 is divided by q.
1
Suppose -20*m - 20 = -24*m. Calculate the remainder when 8 is divided by m.
3
What is the remainder when 180/(-8)*(-2 + 1 + -1) is divided by 13?
6
Let p = 27 + 26. Suppose 0 = 2*i + c + 73, -3*i - 3*c + 61 = -5*i. Let z = p + i. Calculate the remainder when 35 is divided by z.
17
Suppose 5*d = 2*d + 60. Let j(y) = -3*y**3 + 2*y**3 + 7 - y**2 + 5*y**2 + 5*y. What is the remainder when d is divided by j(5)?
6
Suppose -2*h = 2*o - 10, 0 = -3*o - h + 23. Calculate the remainder when 15 is divided by o.
6
Let n = 94 - 9. What is the remainder when n is divided by 10?
5
Let a(b) = 4*b - 2 + 0 - b**2 + 0*b. Let l be a(3). Let y = 3 - l. Calculate the remainder when 5 is divided by y.
1
Suppose -3*n - 166 = -217. Calculate the remainder when n is divided by 7.
3
Suppose 3*w = -f - 7, 4*w = -5*f + 6