 r is divided by 7.
4
Suppose 5*v + 12 = 7*v. What is the remainder when v is divided by 4?
2
Suppose 0*z - 5*t - 33 = -3*z, -5*z - t = -55. Calculate the remainder when z is divided by 7.
4
Let x be ((-1)/(-1))/((-1)/(-5)). Suppose 1 = x*i - 24. Suppose -2*t = -i*t + 21. What is the remainder when 20 is divided by t?
6
Suppose -4*f + 44 = -0*f. Let m(o) = 3*o + 1. Let n be m(1). Suppose 0 = 2*p + y - 5*y, 2*y = n*p - 18. Calculate the remainder when f is divided by p.
5
Suppose 0 = 2*t + 1 - 9. Suppose 4*x - y - 33 = 72, -5*y - 125 = -t*x. What is the remainder when x is divided by 14?
11
Let r(h) = -h**3 + 7*h**2 - 5*h - 5. Let t be r(6). What is the remainder when 56 is divided by t/(4/(-60))*-1?
11
Let j be -15*(-1 - (-14)/(-6)). Suppose t + 4*t = j. What is the remainder when 28 is divided by t?
8
Suppose -12*n = -16*n + 60. What is the remainder when 27 is divided by n?
12
Suppose 3*x - 72 = -3*i, x + 5*i + 11 = 39. Calculate the remainder when 44 is divided by x.
21
Let m = 31 - 10. Let c = 4 - 3. Calculate the remainder when 40 is divided by (c - 1 - m)*-1.
19
Suppose 0*h - 68 = -5*k - 4*h, 0 = -3*k + 4*h + 60. What is the remainder when 28 is divided by k?
12
Suppose -4*i + 47 + 293 = 0. Calculate the remainder when i is divided by 22.
19
Suppose -t + 0*t + 20 = n, 0 = 2*n + 4*t - 44. Let j = n + -13. Calculate the remainder when 13 is divided by j.
3
Calculate the remainder when 174/1 - -1*(0 - 1) is divided by 11.
8
Let s(x) = x**2 + 2*x - 1. What is the remainder when s(-10) is divided by 16?
15
What is the remainder when 83 is divided by 13 + 14 + 3 + -2?
27
Suppose 2*l - 24 = -8. Calculate the remainder when (124/(-10))/(((-32)/(-20))/(-4)) is divided by l.
7
What is the remainder when (-3 - -1)/((-4)/102) is divided by 24/(-64) + 219/8?
24
Let j(n) = n**2 - 5*n - 5. Suppose -5*o = -0*r + r - 37, 2*r = -o + 2. Calculate the remainder when j(o) is divided by 10.
9
Suppose 42 = 2*n - 0*n. Let j(u) = u**3 + 29*u**2 + 31*u + 90. Calculate the remainder when n is divided by j(-28).
3
Suppose -66 = -5*r - f - 17, f = -1. Let q(m) = m**3 - 3*m**2 - 3*m + 5. Let k be q(4). Suppose -2*n + 3 = -k. What is the remainder when r is divided by n?
4
Suppose -5*j = -3*r - 182, 0*r = -4*j + 3*r + 148. Calculate the remainder when 64 is divided by j.
30
Let a(b) = b**2 - 6. Let u be a(-11). Let w = u - 79. Calculate the remainder when w is divided by 13.
10
Let u = 2 - -1. Let x(f) = -f**2 + 5*f. Let h(b) = 2*b**2 - 9*b - 1. Let o(a) = 3*h(a) + 7*x(a). Calculate the remainder when 35 is divided by o(u).
11
Suppose 0*p = -4*p + 16. Suppose 5*f = 25, -5*q - 2*f + 5 = -p*f. Calculate the remainder when q is divided by 2.
1
Suppose 16 = -3*j + 4. Let v(g) = 5*g**2 - 5. What is the remainder when v(j) is divided by 19?
18
Suppose -5*j = -114 - 96. Calculate the remainder when j is divided by (0 - 1)/(6/(-90)).
12
Let h = 3 - 2. Let t(z) = 10*z. Let q(d) = d**3 + 6*d**2 + 4*d + 3. What is the remainder when q(-4) is divided by t(h)?
9
Let l(o) = o**3 + 9*o**2 + 5*o + 25. Calculate the remainder when l(-8) is divided by 16.
1
Suppose 0 = -2*i + 5*v + 73, 0 = -4*i - 3*v - 7 + 192. Suppose -l + 3*l = i. Calculate the remainder when l is divided by 8.
6
Suppose 8 = 3*n + 4*o, 3*n - 4 = -0*o - 5*o. Suppose 5 = 2*q - 25. What is the remainder when q is divided by n?
7
Suppose -8*b + 233 = -351. What is the remainder when b is divided by 19?
16
Suppose -91 = -m - 4*o, 6*m - 2*m - 322 = -2*o. What is the remainder when m is divided by 8?
7
Let r = 12 + -12. Suppose q - 5 = -2*x, r = -3*q + 8*q + 4*x - 43. What is the remainder when 31 is divided by q?
9
Suppose -4*x = -4*f + 28, -4*x = f + 5 + 13. Suppose -4*z + f = -10. What is the remainder when 6 is divided by z?
0
Suppose 61 = c + 3*f + 2*f, 0 = -4*c + 3*f + 221. What is the remainder when 110 is divided by c?
54
Let p(z) = -z**2 - 7*z + 2. Suppose 0 = 3*y - 14 - 13. Let i = y - 16. Calculate the remainder when 2 is divided by p(i).
0
Suppose -r - h = -33, -3*h - 2 + 165 = 5*r. Suppose 15 = a + 13. Calculate the remainder when r is divided by (-33)/a*(-12)/18.
10
Suppose -p + 3*g + 12 = -0*p, 0 = -2*p - 2*g + 8. Let k = 13 - p. What is the remainder when 12 is divided by k?
5
Suppose -3 - 41 = -2*w - 2*o, -w = 3*o - 30. What is the remainder when w is divided by 5?
3
Let d(x) = -7*x + 2. Let l be d(-4). Suppose -5*y + 3*y = -l. What is the remainder when y is divided by 9?
6
Let r(u) = -u**3 - 7*u**2 + 9*u + 9. Let b be r(-8). Let a be (0/b)/(1 + -3). Suppose -5*p + 75 = -a*p. What is the remainder when 43 is divided by p?
13
Let a(y) = -36*y - 13. Calculate the remainder when a(-4) is divided by 33.
32
Let c(v) = v**3 - 10*v**2 - 9*v + 13. Let x(m) = -4*m - 2. Calculate the remainder when c(11) is divided by x(-5).
17
Let z(y) = -8*y + 4*y + 3*y - 1. Let o be z(-3). Suppose o = 3*n - 19. What is the remainder when 19 is divided by n?
5
Let s = 25 + -6. Let u = 11 - -25. Calculate the remainder when u is divided by s.
17
Suppose -673 = -7*k + 6. What is the remainder when k is divided by 11?
9
Let j = -1 + 5. Suppose -j*r + 7 + 9 = 0. Suppose -h + 10 = 4*d, -2*h - d + 12 = 3*d. Calculate the remainder when r is divided by h.
0
What is the remainder when 32 is divided by 4/7 + (-413)/(-49)?
5
Suppose 4*h + 2*m - 182 = 0, 4*h + m = 25 + 158. What is the remainder when 180 is divided by h?
42
Suppose -c + 9 - 3 = 0. Let t = c + 3. What is the remainder when 15 is divided by t?
6
Suppose 3*n = -5*i + 49 + 193, -2*n - 149 = -3*i. Calculate the remainder when i is divided by 17.
15
Suppose -3*q + q + 72 = 0. What is the remainder when q is divided by 13?
10
Let c be (-5)/((-15)/126) + 3. Suppose 29 + c = 2*n. What is the remainder when n is divided by 20?
17
Let b = -25 + 94. What is the remainder when b is divided by 12?
9
Suppose 2*p - 6 - 4 = 0. What is the remainder when 9 is divided by p?
4
Suppose -3*s + 258 = -0*s. Calculate the remainder when s is divided by 22.
20
Suppose -115 = 26*z - 31*z. Let d be (-255)/6*(-8)/10. Suppose 0 = -w + 4*q + 4, w + 5*q - d = -w. Calculate the remainder when z is divided by w.
11
Let b(v) be the second derivative of -v**5/20 - v**4/2 - v**3 + 3*v. Let h be b(-5). Suppose 0 = -5*d + h + 30. Calculate the remainder when 12 is divided by d.
5
Suppose -29*z = -27*z - 90. What is the remainder when z is divided by 12?
9
Let m(w) = w**2 - 4*w + 19. What is the remainder when m(8) is divided by 18?
15
What is the remainder when 33 is divided by -2 - (2 - (-2 - -24))?
15
What is the remainder when 65 is divided by 3*((-80)/(-14) - (-4)/14)?
11
Let t = 24 + -52. Let f = -20 + 60. Let k = f + t. Calculate the remainder when 35 is divided by k.
11
Let h(o) = o**2 + 4*o + 1. Calculate the remainder when 20 is divided by h(-5).
2
What is the remainder when (13/(-39))/(-2*(-1)/(-78)) is divided by 10?
3
Suppose -4*i - 81 = -3*d - 9*i, 166 = 5*d - 2*i. Calculate the remainder when 124 is divided by d.
28
Suppose -5*c - 15 = 0, 0*d - 3*d + 5*c + 99 = 0. Suppose 144 + d = y. Suppose 2*t + 2*t = y. Calculate the remainder when t is divided by 15.
13
Suppose -w = -3*m - 17 - 30, -5*m + 116 = 2*w. Calculate the remainder when w is divided by 14.
11
Suppose -5*p - 960 + 65 = -5*n, 3*n - 541 = 4*p. Calculate the remainder when n is divided by 22.
21
Let v(b) = b + 6 + 15 + 3. What is the remainder when (4 + -217)*5/(-15) is divided by v(0)?
23
Suppose 0*p + 2 = p, -4*r - 4*p = -48. Suppose -4 = -2*u - 2*u. Let y = r + u. What is the remainder when y is divided by 6?
5
Suppose 0 = -5*h + 5, 220 = 5*p + 5*h - 30. Let w(o) = o**3 + 6*o**2 - 16*o + 13. Calculate the remainder when p is divided by w(-8).
10
Let m(q) = 12*q + 5. Suppose -20 = -5*y + 5*i, 6 = -5*y - 2*i + 19. Calculate the remainder when m(y) is divided by 15.
11
Suppose -2*h - 2 = -3*o, 2*o + 3*h = -0*o + 10. Let b(c) be the second derivative of c**3/3 + c**2/2 + 3*c. Calculate the remainder when b(2) is divided by o.
1
Let k = -13 - -22. Calculate the remainder when 15 is divided by k.
6
Let k(n) = 2*n + 18. What is the remainder when 87 is divided by k(0)?
15
Suppose -n + 4 = 0, 2*p + 2 = 5*n - 2*n. Suppose k + 54 = 4*k. What is the remainder when k is divided by p?
3
Suppose -2*q - 469 = -4*u + 83, 695 = 5*u - 5*q. Calculate 