ded by t.
4
Let j(o) = -o**3 + 6*o**2 - 2*o + 13. What is the remainder when 314 is divided by j(5)?
6
Let d = -51 + 79. What is the remainder when (-1 + -7)*(114/(-8) - -4) is divided by d?
26
Suppose 0 = -3*n + 2*n + 33. Let y = 66 - n. Let r = y + -18. What is the remainder when 29 is divided by r?
14
Let w(o) = 2*o**2 + 4*o - 4. Let v be w(1). Let g(l) = 14*l + 11. What is the remainder when g(v) is divided by 13?
0
Suppose -255 = 95*z - 100*z. What is the remainder when z is divided by 3/(((-4)/36)/(-1))?
24
Suppose 21 + 17 = o. Let v be 240/(-100)*(-80)/6. Suppose 0 = 4*p - 0*p - v. Calculate the remainder when o is divided by p.
6
Suppose -a + 173 = 3*a - 3*j, -220 = -5*a + 5*j. Suppose -v = -4*p + 70, 38 = 5*p + 3*v - a. Calculate the remainder when 80 is divided by p.
12
Let k(d) = -d - 10. Let m be k(-13). Let n(y) = 6*y - 3*y**3 - 10 + 9*y**2 + 5*y + y**3 + y**m. What is the remainder when n(9) is divided by 30?
29
Let t = -8 - -6. Let o(u) = -4*u + 4. Let q be o(t). Suppose -j = 4*i - 10 - 32, i = -j + q. Calculate the remainder when 27 is divided by i.
7
Suppose -23*i + 18*i = 4*t - 4353, 2*i = -5*t + 1731. Calculate the remainder when i is divided by 19.
18
What is the remainder when 5 + 3 + 76 + 5 is divided by 14?
5
Suppose -3*s = -6*s + 21. Let a(b) = 8*b - 2. Calculate the remainder when a(s) is divided by ((-6)/33)/(-1) + 304/22.
12
Let j(z) = -2*z + 11. Suppose 33*g + 26 = 31*g. Calculate the remainder when j(g) is divided by 19 - (2 - (5 + -2)).
17
Let c be (3/(-6))/(0 - (-3)/(-6)). Let l = 15 + c. What is the remainder when 47 is divided by l?
15
Let v be (-64)/(-4) - 2*2/4. Calculate the remainder when 4*1 + 7 + v is divided by 7.
5
Let o = -15 + 22. Suppose 5*f = o*f - 24. Calculate the remainder when 46 is divided by f.
10
Let l(o) = 3*o + 22. What is the remainder when l(13) is divided by 11 + 5 + (-15)/5?
9
Let f(n) = -4*n**2 - 121*n - 262. Suppose -86 - 29 = -5*j. What is the remainder when f(-27) is divided by j?
20
Let m = 277 + -258. What is the remainder when 54 is divided by m?
16
Suppose -t = 7*t - 40. Suppose 0 = -t*f + o + 134, 72 = 2*f - 3*o - 2*o. Calculate the remainder when f is divided by 9.
8
Suppose -5*l = -5*m + 630, 5*m - 138 - 504 = -l. Suppose 0*n = -4*n + m. Calculate the remainder when -1 - 44/(-28) - 14620/(-238) is divided by n.
30
Suppose 3*m + 3 = 2*f, 3*f + m + 3*m = 13. What is the remainder when 123 is divided by f?
0
Let x = 23 + -10. Suppose 7*y + 8*y = 2*y. Suppose y = -3*j - 3*p + 21, -5*j - 2*p = -5*p - 11. What is the remainder when x is divided by j?
1
Suppose n = -4*n + 20. Let i be n + (-3)/(-3 - 0). Suppose -4*t = -i*o - 53, -3*o - 63 = -4*t - t. What is the remainder when 23 is divided by t?
11
Let d = -34 + 50. Calculate the remainder when d is divided by 2 + 1 - 15/(-5).
4
Suppose 0 = 65*j - 41045 - 34290. Calculate the remainder when j is divided by 40.
39
Suppose 0*b = -b + 59. Let l(a) = -5*a**3 - 31*a**2 - 7*a + 9. What is the remainder when b is divided by l(-6)?
14
Let f be ((-176)/(-6))/((-38)/(-798)). Let d = f + -408. Calculate the remainder when d is divided by 15.
13
Suppose 4*z + 431 = 3*o + 6, 5*z = -10. Let f be (-1 + 2)/(9/90). Calculate the remainder when o is divided by (-13)/(325/(-70))*f*1.
27
Let x(a) = -a**3 - 6*a**2 - a - 2. Let f be x(-6). Let p = 15 - f. Calculate the remainder when (-119)/(-1 + -6) + 3 is divided by p.
9
Let h = 726 + -684. Calculate the remainder when 171 is divided by h.
3
Let v = -33 + 35. Suppose -5 = -v*d + d. Calculate the remainder when (-1)/(0 + -1)*11 is divided by d.
1
Suppose 0*x + x - 8 = 0. Suppose -x = u - 71. What is the remainder when u is divided by (-15*1)/(-5) + 19?
19
Suppose -2*k = -4*d - 26, 4*d + 0*d = -2*k + 42. What is the remainder when 201 is divided by k?
14
Calculate the remainder when (-5)/1*(576/(-60) - 9) is divided by 29.
6
Suppose -7*i + 120 + 153 = 0. Calculate the remainder when i is divided by 23.
16
What is the remainder when 8/(-6)*(-342)/12 is divided by ((-7)/14)/((-2)/32)?
6
Suppose -o - g + 109 = 0, -9 = -4*o - 3*g + 432. Calculate the remainder when o is divided by 23.
22
Suppose 2975*a + 45 = 2978*a. Calculate the remainder when 2246 is divided by a.
11
Let m(k) = 8*k**2 - 2*k - 1. Suppose -2*n - 5 = 3*q, 26 = n - 5*q + 9. Calculate the remainder when m(n) is divided by 15.
12
Suppose 0 = -25*u - 23*u + 7392. What is the remainder when u is divided by 147?
7
Let h be ((-12)/(-15) - 2)*220/(-6). Suppose 4*j = -1 + 5. What is the remainder when (-14)/4*h/(-77) is divided by j?
0
Let w(r) = r**2 + 11*r - 8. Let q = 31 - 1. What is the remainder when q is divided by w(-12)?
2
Suppose 0 = -5*j - 4*v - 5, 0 = 2*j - 0*j + 2*v. What is the remainder when (-15)/(-25) - ((-1284)/j)/(-2) is divided by 22?
19
Suppose 0 = -3*a + 4*a - 178. Let r = a + -61. What is the remainder when r is divided by 30?
27
Calculate the remainder when (-2)/13 + (-4164)/(-260)*10 is divided by 3.
1
Suppose -k = 3*i - 58, -22 = -2*k + 4*i + 54. Suppose -2*y + k = 6. What is the remainder when 78 is divided by y?
18
Let a(f) = -f**2 - 14*f + 45. What is the remainder when 1213 is divided by a(-14)?
43
Suppose -4*n - 146*q = -147*q - 68, -5*n + 85 = -5*q. What is the remainder when 100 is divided by n?
15
Let n(c) = 9*c + 259. What is the remainder when n(-10) is divided by 33?
4
Let m(d) = 9*d - 3 + 2 - 9*d + 13*d. Calculate the remainder when m(1) is divided by (-14)/(-4)*(0 - -2).
5
Let m be (9/6)/((-9)/(-12)). Suppose 0 = m*h - h - 2. Suppose 15 = -3*y, 2*s - 6*y - 102 = -h*y. What is the remainder when s is divided by 11?
8
Let x(p) = -5*p**2 - 71*p - 155. Let w = 78 - 27. Calculate the remainder when w is divided by x(-3).
12
Let s = 30 - 3. Suppose 143*n - 146*n + 450 = 0. Suppose 0 = -4*q + 162 + n. Calculate the remainder when q is divided by s.
24
Suppose -3*b + 38 + 7 = 0. Let j(u) = -56*u - 13. Let d be j(12). What is the remainder when (-1)/(-3) - d/b is divided by 16?
14
Let g(x) = 15 + 13*x - 2 - x**2 - 6. Suppose 5*r - 3*i = 59, 0 = -5*r + 2*i - 3*i + 67. What is the remainder when 47 is divided by g(r)?
5
Suppose 3*c + l + 4*l - 69 = 0, -44 = -2*c - 4*l. Suppose -2*u - 5*n - c = -3*u, 25 = 5*n. What is the remainder when u is divided by 4/(-2) - (-29 + -1)?
25
Suppose 0 = 19*a - 9867 - 2274. What is the remainder when a is divided by 16?
15
Suppose -47 = -v - 5*h, 5*v = -h + 35 + 104. Let x = -6 + v. What is the remainder when 83 is divided by x?
20
Let h(f) = 2*f**2 + f + 103. Calculate the remainder when h(-8) is divided by 56.
55
Let a be (10 - 1)/((-15)/110). Let p = 104 + a. Suppose -30 - 22 = -4*v. What is the remainder when p is divided by v?
12
Suppose 0*z - 1200 = -4*z. Suppose 0 = -0*w - 4*w + z. Calculate the remainder when w is divided by 38.
37
Suppose 0 = -5*y - 3*r + 27, -3*y - 5*r + 4 = -9. Suppose y = -2*i + 5*i. Suppose 0 = -i*t - 3*t + 145. What is the remainder when 55 is divided by t?
26
Suppose 4*r = 5*w - 1472, 6*r + 584 = 2*w + 2*r. Suppose -p - p + w = 0. Calculate the remainder when p is divided by 19.
15
Let i(k) = 2*k**2 - 4*k - 6. Let g be i(5). Let u be g/(-1)*(-6)/6. Suppose 0 = -0*x - 3*x + u. What is the remainder when x is divided by 2?
0
Let z(r) = 2 - 6*r + 4 + 6. Let x be z(11). Calculate the remainder when 51 is divided by (-2)/9 + (-768)/x.
9
Let f = 38 - 38. Suppose -3*h + f - 3 = 0, -5*h + 25 = 3*s. Let y = 4 + 2. Calculate the remainder when s is divided by y.
4
Let a(b) = b + 7. Let g be a(-6). What is the remainder when 7 is divided by g*2 + 0/(-11)?
1
Let n = 5 - -12. Suppose -4*o + 4*w = -600, 0 - 6 = -3*w. What is the remainder when o is divided by n?
16
What is the remainder when (-18 + 48)*(-2 - (-150)/9) is divided by 16?
8
Suppose 8*l + 3*w - 80 = 3*l, 3*w = 0. Let j = -39 + 311. Suppose -28 = -5*x + j. Calculate the remainder when x is divided by l.
12
Suppose -60 = -3*k + 93. Let i = k + -34. Calculate the remainder when 30 is divided by i.
13
Let s(c) be the second derivative of -c**3/6 - 2*c**2 + 15*c. Calculate the remainder when 3 is divided by s(-5).
0
Let h be ((-1)/(-5))/((-10)/(-100)). Suppose -44 = -h*y - 0*y. What is the remainder when 40 is divided by y?
18
Let w(x) = 18*x**3 + x**2 - 3*x + 1. Let t be w(1). Let j(n) = -t - 23 + 48 - 5*n. C