at is the remainder when 69 is divided by n(-22)?
13
Let w(a) = a**3 + 7*a**2 - 2*a + 11. Calculate the remainder when w(-7) is divided by 15.
10
Suppose -35*m - 96 = -41*m. What is the remainder when 30 is divided by m?
14
Suppose 0 = 7*f - 329 + 42. Let n = f - 24. What is the remainder when 133 is divided by n?
14
Let c = 0 - -1. Let w(n) = -n**2 - n - 1. Let h(z) = -4*z**2 - 14*z - 12. Let k(g) = c*h(g) - 6*w(g). What is the remainder when 69 is divided by k(6)?
15
Let z be (-16)/(-7) - 4/14. Suppose 2*x + 3*u + 5 = 0, 0*x + 4*x - z = -2*u. Suppose -3*w = x*w - 100. What is the remainder when w is divided by 11?
9
Suppose 5*u + 5*c - 32 = c, 0 = -c + 3. Suppose -x + u = 2. Suppose -x*l = -4*n, -5*n + 49 + 6 = 3*l. Calculate the remainder when l is divided by 6.
4
Suppose 5*p + 3*f - 348 = 0, -6*p + f = -2*p - 275. What is the remainder when p is divided by 1*-1*(38 - 35) + 13?
9
Let p be (-3)/5 + -3*58/(-15). Let u(g) = -9*g - g**3 + 0*g**2 - 14 + 0*g**2 + 12*g**2. What is the remainder when 21 is divided by u(p)?
5
Suppose 3*l + 25*k - 21*k - 810 = 0, 5*l = -5*k + 1345. What is the remainder when l is divided by 90?
86
Let w(k) = k + 4. Let t be w(-5). Calculate the remainder when (-6)/(-2) + (11 - t) is divided by (-1 - -1) + (-4 - -8).
3
Let g be (-1 - 0)/((6/(-3))/18). Suppose 545 = g*x + 176. What is the remainder when x is divided by 7?
6
Let a be -2 + (8 - 4) - 0. Suppose 0 = 2*r - 2*t - 20, 3*r + 0*r = a*t + 31. Calculate the remainder when 41 is divided by r.
8
Let o = 23 - -192. What is the remainder when o is divided by 12?
11
Let b = 53 - -22. Suppose -4*i + 95 = 5*a, -a - i + 8 + 11 = 0. Calculate the remainder when b is divided by a.
18
Suppose 2*u = 2*u + 12*u. Suppose u*d + 660 = 10*d. Calculate the remainder when d is divided by 36.
30
Suppose f - 72 = -5*k, 4*f = 6 + 2. Let m = -3 + k. What is the remainder when 53 is divided by m?
9
Let x(g) = -g**3 + 12*g**2 - 5*g + 27. Let d = 82 + -73. What is the remainder when x(d) is divided by 19?
16
Let v(c) = -2*c**2 + 20*c - 4. Calculate the remainder when 420/8 + 1/2 is divided by v(9).
11
Calculate the remainder when (210/(-18) + 11)/((-4)/1590) is divided by 68.
61
Suppose 3*f - 27 = f - 3*a, a = -4*f + 79. Calculate the remainder when 5*108/f*14/3 is divided by 31.
27
Let g(u) = u**2 - 10*u + 1. Let x be g(10). Let y(s) = 26*s. Let t be y(x). Let z = t + 32. What is the remainder when z is divided by 15?
13
Let a = 6 + 134. Let o = -51 + a. What is the remainder when o is divided by 13?
11
What is the remainder when 56 is divided by (-238)/(-8) + 6/(-8)?
27
Suppose 506 = 4*q - 3*c, -8*q + 2*c + 636 = -3*q. Calculate the remainder when q is divided by 43.
42
Suppose -2*z - x = -2, -31 = z - 6*z + 4*x. Let d = 29 + -16. Suppose -2*h + d + 1 = 0. Calculate the remainder when h is divided by z.
1
Let h(u) = 21*u**3 + 2*u**2 + 2*u - 10. What is the remainder when h(2) is divided by 59?
52
Suppose 175 = -3*n + 8*n. Suppose 5*b - b + 2 = -2*i, 5*b = 4*i - n. What is the remainder when 175/15 - (-1)/3 is divided by i?
2
Let t(p) = 3*p - 1. Let o be t(5). Suppose 4*g - 6*g + o = 0. Suppose d + 4*m = -g, -4*m + 45 = -0*d + 5*d. Calculate the remainder when 51 is divided by d.
12
Let c = 239 + -98. What is the remainder when c is divided by 37?
30
Let d(b) = 2*b**2 + b - 1. Let f(g) = -g**3 + 4*g**2 + 19*g - 28. Let l = 195 - 189. What is the remainder when f(l) is divided by d(2)?
5
Suppose 3*d + 5*o = 586, -o = -5*d - 184 + 1142. Suppose d = 12*s - 4*s. Calculate the remainder when s is divided by 7.
3
Let p(k) = -27*k + 13. Calculate the remainder when p(-12) is divided by 13.
12
Suppose 34*k - 350 = 9*k. Suppose -5*d = -2*x + 113, -108 - 104 = -3*x - d. Calculate the remainder when x is divided by k.
13
What is the remainder when -2*(9/(-12) + (-355)/4) is divided by 54?
17
Suppose 24*d - 1722 - 2910 = 0. What is the remainder when d is divided by 58?
19
What is the remainder when (-1210)/(-20) + 6/(-12) is divided by 31?
29
Let s = -14 + 25. Let h(d) = 2*d + 2*d + s - 18. What is the remainder when h(5) is divided by 8?
5
Let d = 473 - 205. Suppose 0 - 3 = -u, -2*g + 42 = -4*u. What is the remainder when d is divided by g?
25
Let q(u) = 2*u**3 + 2*u**2 - 3*u + 2. Let v be q(2). Let g = 29 - v. What is the remainder when 26 is divided by g?
8
Let r(k) = 5*k - 4. What is the remainder when r(5) is divided by 49/(980/(-240)) - -22?
1
Let m = 625 - 446. What is the remainder when m is divided by 18?
17
What is the remainder when 246 is divided by -10 - (-84)/8 - 55/(-2)?
22
Let u(z) = 3*z - 5. Suppose 0 = 4*c + 35 - 115. Calculate the remainder when u(27) is divided by c.
16
Let p(r) = 5*r**2 - 13*r - 10. Suppose -138 = -3*s - 24. Calculate the remainder when p(-3) is divided by s.
36
Suppose -3*v - 18*v + 1302 = 0. Calculate the remainder when 247 is divided by v.
61
Suppose 7*y + 15 = 85. Let o = 58 - 39. Calculate the remainder when o is divided by y.
9
Suppose 260 + 580 = 12*n. Let u be (0/2)/(2 + -4). What is the remainder when n is divided by ((-40)/(-2) - u) + -2?
16
Calculate the remainder when 55 is divided by (3/6*14)/((-4)/(-16)).
27
Suppose 26*q - 23*q - 81 = -3*t, -3*q + 3*t + 63 = 0. Suppose -126 = -2*y + 3*c + 47, -2*y - 5*c + 165 = 0. Calculate the remainder when y is divided by q.
13
What is the remainder when 147 is divided by 3620/150 - (26/(-30) - -1)?
3
Suppose -10*n = 6*n - 6368. What is the remainder when n is divided by 40?
38
Let k(f) = f**3 + 2*f**2 - 37*f - 4. What is the remainder when 165 is divided by k(-6)?
17
Let m(w) = 5*w**2 + 2*w + 4. Let j(a) = 11*a**2 + 5*a + 8. Let x(u) = 6*j(u) - 13*m(u). Calculate the remainder when (-98 - 1)*(-8)/12 is divided by x(3).
15
Let f be -16 + 13 - (52 + 0)/(-2). Suppose -3*b + 143 = f. What is the remainder when b is divided by 21?
19
Let q(j) = j - 19. Let t be q(16). What is the remainder when (-30)/(-2) - t/((-18)/12) is divided by 5?
3
Let n(h) = 5*h**3 - 2*h + 1. Calculate the remainder when 67 + 4 + 0/(-6) is divided by n(2).
34
Suppose 0 = -2*r + l + 5 - 1, 4*r = -2*l + 8. Suppose -5*a + 186 = -r*a. Calculate the remainder when a is divided by 13.
10
Let t(y) = -y - 10. Let k be t(-6). Let j = k + 8. What is the remainder when 39 is divided by (j/(-3))/((-4)/42)?
11
Suppose 2*y - 4*f - 45 - 25 = 0, 2*y - 67 = 3*f. Calculate the remainder when 95 is divided by y.
8
Suppose 5*j - 35 + 9 = -3*g, 33 = 3*j - 4*g. Suppose -6*t = -j*t + 1. What is the remainder when 59 is divided by (t - 4 - 27)*-1?
29
Let u(r) = 2*r**3 - 25*r**2 + 11*r + 17. Let m be u(12). Suppose 0 = o + 5*y - 41, -m*y = -2*o - 0*o + 67. What is the remainder when 69 is divided by o?
33
Let j(w) = -w**3 - 13*w**2 + w + 18. Let v be j(-13). Suppose 0 = 4*n - v*n + 9. Calculate the remainder when 151/n + 16/72 is divided by 10.
7
Let w = 176 + -45. Suppose -w = -4*z - 59. What is the remainder when 52 is divided by z?
16
Calculate the remainder when ((-140)/(-3))/(146/1971) is divided by 79.
77
Suppose -182 = -12*c + 34. Calculate the remainder when 106 is divided by c.
16
Let u = 278 + -116. What is the remainder when u is divided by 33?
30
Suppose -17 = -4*l + x + 52, 0 = 3*l - 5*x - 73. Suppose -12*d - 136 = -l*d. What is the remainder when d is divided by 9?
7
Let a(w) = -w**3 - 7*w**2 - 10*w - 12. Let n be a(-9). Suppose 6*m - m - n = 0. Let z = m - 28. Calculate the remainder when 38 is divided by z.
18
Suppose -128 = -4*q + 3*d - 4, d = 5*q - 166. What is the remainder when 132 is divided by q?
30
Let o = 201 - 170. What is the remainder when 181 is divided by o?
26
Let k(b) be the third derivative of -b**6/120 - 4*b**5/15 + 5*b**4/8 - 5*b**3/6 + 11*b**2. Calculate the remainder when 171 is divided by k(-17).
26
Let x be (-1*144/15)/(6/(-80)). What is the remainder when 6*-1*(-40)/6 is divided by 3/(54/12) - x/(-6)?
18
Suppose -15*z = -376 + 16. Suppose -2*w = -3*u - 138, 2*w + 3*u - 69 = w. Calculate the remainder when w is divided by z.
21
Let s(k) be the first derivative of -k**3/3 - 13*k**2/2 - 11*k - 13. Calculate the remainder when s(-8) is divided by 17.
12
Let k = -356 + 377. What is the remainder when 82 is divided by k?
19
Suppose -26*y = -45*y + 741. Calculate the remainder when 43 is divided by y.
4
Let v = 275 + -196. What 