0
Let v(n) = 7*n**2 + 2*n + 1. Let j be 6/2 + -3 + -1. Calculate the remainder when 21 is divided by v(j).
3
Suppose 0 = -0*w + 5*w - 115. Suppose -6*v = -v - 120. Suppose 5*m - 2*m - v = 0. Calculate the remainder when w is divided by m.
7
Let h(g) = 2 - 7*g - g**2 + 2 + 3*g + 2*g**2. What is the remainder when 2/1 - 30/(-2) is divided by h(5)?
8
Let c = 15 + -12. Let t be 3 + (-3 - c/(-1)). Suppose t*k = 3, -3*k = -o - 2 + 1. What is the remainder when 4 is divided by o?
0
Let y be (-4)/2*27/(-2). Let c be 9/y + (-26)/6. What is the remainder when 19 is divided by (-12)/c + (0 - -7)?
9
Let i(p) be the second derivative of -p - 9/2*p**2 - 1/12*p**4 - 17/6*p**3 + 0. Calculate the remainder when i(-13) is divided by 15.
13
Suppose -20*c + 22*c - 4*b = 230, 4*b = -3*c + 345. Calculate the remainder when 131 is divided by c.
16
Let m = 14 - 10. Let t = m + 9. What is the remainder when 61 is divided by t?
9
Let p(x) = x**2 - 9*x - 13. Let j be p(13). Let v = -32 + j. What is the remainder when v is divided by 4?
3
Let r(t) = t**3 + 11*t**2 - 15*t - 21. Let f be r(-12). Calculate the remainder when 327/f + 9/(-5) + 2 is divided by 12.
10
Suppose 7*k - 24*k + 391 = 0. Calculate the remainder when k is divided by 15.
8
Let t = -2435 - -2535. Calculate the remainder when 1399 is divided by t.
99
Let s = -5 - -10. Let d(r) = -r**2 + 7*r + 2. Let b be d(7). Suppose -3*j = -b*x - 34, 0 = 2*j - 7*x + 3*x - 12. Calculate the remainder when j is divided by s.
4
Suppose 11*t = 2*t + 180. Calculate the remainder when 56 is divided by t.
16
Let z = -387 + 431. Calculate the remainder when 76 is divided by z.
32
Suppose 0*b = b - 258. Suppose 0 = 5*r - 2*r + b. Let u = r - -157. What is the remainder when u is divided by 24?
23
Let s = -7 - -22. Suppose 4*x = -4*f + 148, f - 3*x - 40 + s = 0. Suppose 38*l = 33*l + 90. Calculate the remainder when f is divided by l.
16
Suppose 0 = 3*p - 6*p - 54. Let m = p + 29. Suppose 0 - 4 = -i. What is the remainder when m is divided by i?
3
Suppose -5*z = 9*z - 126. Let r = -175 + 253. Suppose 7*o = 4*o + r. Calculate the remainder when o is divided by z.
8
Suppose 4*p = -a - 0*p + 62, -3*p = -4*a + 153. What is the remainder when a is divided by 25?
17
Let p(j) = 4*j**2 - 5*j + 5. What is the remainder when p(3) is divided by ((-532)/(-95))/((-4)/(-10))?
12
Let i(q) = 2*q. Let o be i(1). Suppose 2*z = -o*j + 8 + 12, 4*j - 36 = -5*z. Calculate the remainder when 53 is divided by j.
11
Suppose 5*s - 2*s - 72 = 0. Suppose 0 = -345*y + 357*y - 1116. What is the remainder when y is divided by s?
21
Suppose b - 6*b + 58 = -2*r, -b = -5*r - 30. What is the remainder when b is divided by 7?
3
Suppose -10*p = -60*p + 2550. Calculate the remainder when 53 is divided by p.
2
Let y(u) = -u**2 + 6*u - 3. Calculate the remainder when 0 + 8 + (19 - 14) is divided by y(5).
1
Suppose 72*j - 37697 = -12065. Calculate the remainder when j is divided by 11.
4
Let k(x) = -x**2 + 25*x + 28. Calculate the remainder when k(13) is divided by 62.
60
Let k(l) = -l**2 + l. Let j be k(4). Let r = j - -15. Calculate the remainder when 5 is divided by r.
2
Suppose -12*i + 9*i - 3*m = -492, m - 5 = 0. What is the remainder when 326 is divided by i?
8
Let d(t) = -2*t**3 + 22*t**2 + 22*t + 35. Let a = 27 + 2. What is the remainder when a is divided by d(12)?
7
Let n(o) = 13*o + 46. What is the remainder when n(5) is divided by 17?
9
Let q(x) = 6*x - 90. Calculate the remainder when 175 is divided by q(17).
7
Suppose 0 = 45*n - 955 - 4535. What is the remainder when n is divided by 74?
48
Suppose 516 = -3*x - 3*k - 0*k, 2*k + 857 = -5*x. Let s = -84 - x. Calculate the remainder when s is divided by 22.
21
Let t = -37 - -22. Let q = t - -10. What is the remainder when 118 is divided by (-18)/21*q*7?
28
Let j(w) = w + 18. Let o be j(-16). Suppose -2*b + 17 = -3*p, -p = 1 + o. Calculate the remainder when 15 is divided by b.
3
Let d = -454 - -536. Calculate the remainder when d is divided by 7.
5
Let v(o) = -90*o + 14. What is the remainder when v(-3) is divided by 12?
8
Suppose -4*t + 256*v - 253*v = -623, -625 = -4*t + 5*v. What is the remainder when t is divided by 43?
26
Suppose -2*c - 5*z + 117 = -10*z, -126 = -2*c + 2*z. Calculate the remainder when 114 is divided by c.
48
Let s be 50/(-4)*(-48)/(-10). Let u = s + 42. Let g = -3 - u. What is the remainder when g is divided by 4?
3
Let d(j) = -j**2 + 10*j + 107. Calculate the remainder when 461 is divided by d(16).
10
Let w(q) = -37*q + 8. Let f be w(4). Let g be 9/6*f/21. What is the remainder when 1 is divided by (5/g)/((-3)/6)?
0
Suppose 0 = -27*j + 680 + 670. What is the remainder when 160 is divided by j?
10
Let p = 658 - 657. What is the remainder when 29 is divided by p?
0
Let p = 312 - 303. What is the remainder when 12 is divided by p?
3
Let j(f) = -10*f + 315. What is the remainder when 223 is divided by j(25)?
28
Let n(y) = y**2 - 11*y - 10. Let f be n(12). Let s = -10 + 13. Suppose -s*x - f*x = -205. Calculate the remainder when 120 is divided by x.
38
Let h be 20/4*12/15. Suppose -2*q = -4*l + 94, h*q = 2*l + q - 45. Calculate the remainder when 95 is divided by l.
23
Let s(l) = 2*l - 9. Let i be s(5). Suppose 2*g - 13 = -i. What is the remainder when 21 is divided by g?
3
Let y(g) = -g**2 + 5*g - 4. Let w be y(0). Let t(c) = c**3 + 7*c**2 + 9*c + 5. What is the remainder when t(w) is divided by (0 - -7) + (-4)/2?
2
Suppose -4*q + 18 = -5*u - 134, u - 47 = -q. Suppose 4*t - 53 = -5*k + 2*k, 3*k - 5*t = 89. What is the remainder when q is divided by k?
20
Let s(y) = -17*y - 45. Let a be s(-3). Suppose t = -0*t - 3, -l = 4*t - 118. Suppose -l = -a*q + q. Calculate the remainder when q is divided by 9.
8
Let w = -5276 - -5319. Calculate the remainder when (-2 + 84 + 1)*1 is divided by w.
40
Let q = -145 - -170. Calculate the remainder when 124 is divided by q.
24
Let x(z) = 3*z - 11. Let k(c) = 11*c**3 - c**2. Let j be k(1). What is the remainder when x(j) is divided by -3 - ((-12)/18 + 37/(-3))?
9
Let n be (6/(-5))/(8/(-20)). Suppose 4*m + 108 = 4*a, -a + 4*a + n*m - 87 = 0. Let j = 35 + a. Calculate the remainder when j is divided by 16.
15
Let i(l) = 12*l + 1. Suppose 402 = 3*c + o - 4*o, 0 = -2*c - o + 274. Calculate the remainder when i(4) is divided by c*(-3)/(-30) - (-3)/(-5).
10
Let o = -226 - -319. Suppose 3*y = 2*k + 70, -4*y + 65 + 36 = 5*k. What is the remainder when o is divided by y?
21
Suppose -5*h = 2*w + 6, 2*w - 3*h = w + 8. Suppose f = -w*f + 30. Calculate the remainder when 27 is divided by f.
7
Suppose 3*y = -0*l - l + 54, y + l = 16. Suppose 5*o = 6*o - 12. Suppose 32 + o = 4*f. What is the remainder when y is divided by f?
8
What is the remainder when (-6 - -40)/(((-1)/(-1))/4) is divided by 29?
20
Let c(b) = 28*b**2 + 5*b - 6. What is the remainder when c(-2) is divided by 17?
11
Let b(j) be the third derivative of -j**5/60 + 5*j**4/24 + 5*j**3/6 - j**2. Calculate the remainder when b(4) is divided by 3.
0
Suppose -5*p + 20 = 5*h, 8 = -5*p + h + h. Suppose m + 110 = 6*m. Calculate the remainder when 43 - 2/(p + 1) is divided by m.
19
Suppose -551 = -4*k + o - 94, 4*o + 218 = 2*k. Let z = -34 + k. Let a = 66 - 45. What is the remainder when z is divided by a?
18
Let z be (2/5)/(4/(-20)). Calculate the remainder when 14 is divided by z/5 - 216/(-40).
4
Suppose -4*o + 12 = -2*r - 2*r, -4*r = 4*o - 44. Suppose -5*m - 3*l + 32 = 0, -21*l = -20*l - 4. What is the remainder when o is divided by m?
3
Let n(p) = p**3 + 7*p**2 + 6*p - 11. Let g be n(-6). Let f(h) = -h**2 - 15*h + 4. Calculate the remainder when f(g) is divided by 25.
23
Let v(d) be the third derivative of d**5/60 - 3*d**4/8 + 11*d**3/6 - d**2. Calculate the remainder when 20/(-3)*6/(-5) is divided by v(8).
2
Let r = 512 - -126. Let q = -104 + 159. What is the remainder when r/10 - 44/q is divided by 22?
19
Suppose 13*m = 146 + 166. What is the remainder when 36 is divided by m?
12
Let n be 208/7 + 2/7. Suppose -4*b + n = -3*b. Suppose -101 - 11 = -7*v. What is the remainder when b is divided by v?
14
Suppose 2*t - 153 = -5*i, -3*i - 5*t = -7*i + 129. Suppose -2048 = -19*a + 251. What is the remainder when a is divided by i?
28
Suppose 2*t + 8*i - 5*i + 34 = 0, 5*t + 131 = 4*i. Let g = t - -41. Suppose n = -a 