
3
Let f(k) = k**3 + 6*k**2 + 2*k - 8. Let q be f(-6). Let m = 35 + q. What is the remainder when 42 is divided by m?
12
Let s(k) = -k**3 + 5*k**2 - k - 4. Let p be s(4). Let x = p + -4. What is the remainder when x is divided by 55/44 - 3/(-4)?
0
Suppose 57 = t - 0*t - 4*p, 0 = -3*t + 5*p + 136. What is the remainder when 110 is divided by t?
36
Suppose -26 = -4*v - 2. Let d = 5 + v. Calculate the remainder when 19 is divided by d.
8
Let d be (-3)/(-1) - (-3 - 14). What is the remainder when 37 is divided by d*((-7)/(-2) - 3)?
7
Suppose -39 = 3*w - 48. Suppose 2*x = 6*x - 24. Let r = -2 + x. Calculate the remainder when r is divided by w.
1
Let p = -5 - -4. Let j = 26 - 3. What is the remainder when (-1062)/(-24) + p/4 is divided by j?
21
Let v = -20 - -34. Calculate the remainder when v is divided by 8.
6
Let x = -16 - -25. Calculate the remainder when 24 is divided by x.
6
Let y(x) = x**3 + 4*x**2 - 4*x - 2. Calculate the remainder when y(-3) is divided by 11.
8
Let h(x) be the first derivative of 2 - 5/2*x**2 + 2*x. What is the remainder when 22 is divided by h(-2)?
10
Let r = 9 + -11. What is the remainder when 52 is divided by -2 + r - (0 + -22)?
16
Let r(i) be the first derivative of 1/4*i**4 + 5/3*i**3 + 2*i**2 - 3 + 4*i. Calculate the remainder when 14 is divided by r(-4).
2
Let r(p) be the first derivative of p**2/2 + 31*p - 2. What is the remainder when r(-13) is divided by 7?
4
Suppose j + 4*r = 18, 0 = 5*j + 3*r - 16 - 6. Suppose j*x - 5*x = -12. Suppose -x*v + 20 + 24 = 0. Calculate the remainder when 31 is divided by v.
9
Suppose 5*v - 88 = -0*v - 4*l, -2*v + 34 = l. Suppose 4*o = 220 - v. What is the remainder when o is divided by 18?
15
Suppose -m = 3*v + 2*v - 27, 5*m = -5*v + 75. What is the remainder when 33 is divided by m?
9
Suppose j = 5*j - 220. Calculate the remainder when j is divided by 29.
26
Let c = -19 + 29. What is the remainder when (2 + -1)*(16 + -12 + 13) is divided by c?
7
Let b be (-12)/(-5) + 8/(-20). Suppose -b*o = -0*o - 90. What is the remainder when o is divided by 12?
9
Let i be (-817)/(-7) - (-2)/7. Suppose 77 = 5*m + 5*t - 48, 0 = 5*m - 3*t - i. Let k(q) = -2*q**2 + 20*q - 19. What is the remainder when m is divided by k(8)?
11
Let z = 20 - 12. Suppose -5*w - l - 25 = -6*w, 54 = 3*w + 4*l. Calculate the remainder when w is divided by z.
6
Let l = -5 + 20. Calculate the remainder when 42 is divided by l.
12
Let j(f) = 51*f - 1. Let c(g) = 51*g - 1. Let x(w) = -3*c(w) + 4*j(w). What is the remainder when x(2) is divided by 34?
33
Calculate the remainder when -2*2 - 260/(-10) is divided by 6.
4
Let y = 90 + -27. Suppose 2*c - y + 21 = 0. Calculate the remainder when c is divided by 2/9 + (-97)/(-9).
10
What is the remainder when 13 is divided by (7/2)/(3/6)?
6
Let a(h) = 2*h. Suppose -2*r + 5*r = 0. Suppose 0 = 3*d - r*d - 54. What is the remainder when d is divided by a(5)?
8
Let s(q) = q**3 + 9*q**2 + 9*q + 8. Let h be s(-8). Suppose h = -2*p + 26 + 6. What is the remainder when 29 is divided by p?
13
Let w = -68 + 95. What is the remainder when w is divided by 1 + -2 + (-1 - -12)?
7
Suppose 2 + 19 = m + 2*t, 3*m + 3*t - 54 = 0. Suppose -39 = 2*a - 3*a - 3*o, -12 = -3*o. Calculate the remainder when a is divided by m.
12
Let z = 0 + 28. Let r = -19 + z. Let i = 35 + -11. What is the remainder when i is divided by r?
6
Let t(h) = 3*h**2 + 13*h. What is the remainder when t(-9) is divided by 32?
30
Let h(b) = b**2 - 4*b + 6. Let y be h(4). Suppose 4*p = y*p - 10. Suppose -3 = -3*o, o = n - 9 + 1. Calculate the remainder when n is divided by p.
4
Let w = 156 + -104. Let v(g) = -8*g - 7*g**2 + 0*g**2 + 2 + 4 - g**3. Calculate the remainder when w is divided by v(-6).
16
Suppose -7*q + 197 + 335 = 0. Calculate the remainder when q is divided by 2 - 1/(3/(-72)).
24
Let g(r) = 31*r + 1. Let z be g(-1). Let u = 42 + z. Let c = 18 - -17. What is the remainder when c is divided by u?
11
Let x(n) = n**2 + 3*n - 5. Calculate the remainder when 44 is divided by x(4).
21
Suppose 4*o = 5*i - 29, i + 4*o - 29 = -o. Let u be i*6*24/27. Let h = u - 25. What is the remainder when 68 is divided by h?
22
Suppose 6*c = 58 - 4. Calculate the remainder when 34 is divided by c.
7
Let i = 58 - 36. Let h = 5 + 3. What is the remainder when i is divided by h?
6
Suppose 0 = 2*w - 5*w + 117. Suppose s + 5*y - 19 = 0, -29 = 2*s - 4*s - y. What is the remainder when w is divided by s?
11
Suppose -4*u + u = -9. Suppose -f = -u*f - 4. Calculate the remainder when 31 is divided by (0 - 22/1)/f.
9
Let d be (-2)/4 - 21/(-2). Let o(j) = 2*j - j - 2 + d*j**2 + 1. Calculate the remainder when o(1) is divided by 6.
4
Suppose -45 = -8*i + 3*i. Calculate the remainder when i is divided by 3.
0
Suppose 4*q - 20 = -q. Suppose -u - 18 = -5*g + 11, -4 = -q*u. Calculate the remainder when 10 is divided by g.
4
Suppose -5*g = -3*j + j + 8, 0 = -g - 3*j + 12. What is the remainder when (74/1)/(2 + g) is divided by 13?
11
Suppose -2*f - 6 + 18 = 0. Calculate the remainder when 11 is divided by f.
5
Let h(p) = -6*p - 1. Let u be h(-1). Suppose -4*l + 110 = 2*z, -3*l - u + 14 = 0. What is the remainder when z is divided by 17?
15
Suppose 4*l - 86 + 22 = 0. Calculate the remainder when (-2)/(-8) + 374/8 is divided by l.
15
Let z = -128 - -275. Calculate the remainder when z is divided by 10.
7
Let q = 139 + -94. Calculate the remainder when q is divided by 7.
3
Suppose 0*d + 5*d - 25 = 0. Let p = 6 + -6. Suppose -4*x + 2*t + 34 = 0, 4*x = -p*t - t + 31. Calculate the remainder when x is divided by d.
3
Suppose -4*z = -6 - 6. Let y be -1 - (-1 + -2 + -2). Suppose -2*c - 2*p + 93 = z*c, 0 = y*p + 4. Calculate the remainder when c is divided by 5.
4
Suppose 2*j - a - 82 = a, -5*a + 5 = 0. Calculate the remainder when j is divided by 11.
9
Let y = 86 - 48. Calculate the remainder when y is divided by 13.
12
Suppose 0 = -4*n - 12, 4*y = -0*y + 3*n + 117. Let u(l) = -l**2 + 16*l - 12. Calculate the remainder when u(8) is divided by y.
25
Suppose 5*i - 5*s - 38 - 87 = 0, -5*s = -10. Let h = 89 + -37. Calculate the remainder when h is divided by i.
25
Suppose 0 = -4*o - 2*k + 30, -2*o + k = o - 25. Suppose o + 6 = p. Calculate the remainder when p is divided by 8.
6
Suppose 4*z - 52 = -2*w, 2*z + 2*z - 16 = 0. What is the remainder when 9/(-3) + w/1 is divided by 8?
7
Let h(i) = i. Let j be h(0). Let y = j + 2. Calculate the remainder when 4 is divided by y.
0
Suppose 2*i = 4*a - 78, -95 = -3*a - 2*a + 5*i. Calculate the remainder when 59 is divided by a.
19
Suppose -1549 = -7*b - 100. Calculate the remainder when b is divided by 21.
18
Let o(k) = -k**3 - 4*k**2 + 4*k + 7. What is the remainder when 47 is divided by o(-5)?
11
Let f(k) = 2*k**2 + 8*k - 4. What is the remainder when f(-8) is divided by 21?
18
Let q(z) = z**3 + 4*z**2 - 3*z - 2. Let b be q(-4). Let w = 17 - b. Let v(g) = 2*g**3 - 4*g**2 + g + 2. What is the remainder when w is divided by v(2)?
3
Let y(g) = -2*g**3 + 2*g**2 + g. Let f be y(-1). Suppose 5*h - 15 - 2 = x, -11 = -f*h + x. Calculate the remainder when h is divided by 1.
0
Suppose -3*m + 129 = -0*m. Suppose -4*w = -3*w + 23. Let c = m + w. What is the remainder when c is divided by 11?
9
Suppose -2*y = y - 147. What is the remainder when 146 is divided by y?
48
What is the remainder when ((-42)/(-12) - 5)*62/(-3) is divided by 18?
13
Let z(m) = -m**2 + 7*m - 6. Let o(k) = k**2 + 3*k - 3. Calculate the remainder when o(2) is divided by z(5).
3
Suppose 4*k + 2*d = -206, -5*d - 115 = -2*k + 4*k. Let c = k + 86. Calculate the remainder when c is divided by 13.
10
Let l be -3 - -10 - (0 - -3). Let q = 23 - 14. Calculate the remainder when q is divided by (4/(-3))/(l/(-18)).
3
Suppose 0 = 11*u + 25 - 399. What is the remainder when u is divided by 9?
7
Suppose 9*g - 1 = -2*s + 4*g, 4*s + g - 29 = 0. Suppose 5*b - 4*u - 130 = 0, 2*u - 11 - 67 = -4*b. What is the remainder when b is divided by s?
6
Calculate the remainder when 21 is divided by (-4 + -1)*16/(-10).
5
Suppose 8 = 4*p - 12. Let g be (9 - -1)/(2/10). Suppose 0*m + p*m - g = 0. What is the remainder when 17 is divided by m?
7
Suppose 0*f = 5*f - 80. What is the remainder when 28 is divided by f?
12
Let d(c) = -c - 6*c + 11 + 6*c. Let j be d(9). Suppose 2*u = j*t - 0*t - 14, t = -