a + 68. Calculate the remainder when a is divided by 6.
4
Let i(b) = b**2 + b + 3. Calculate the remainder when i(-9) is divided by 19.
18
Let x = 107 - -12. What is the remainder when x/3 + 4/(-6) is divided by 20?
19
Suppose 0 = -z + 2*z + 2, -3*k + 82 = 4*z. What is the remainder when k is divided by 13?
4
Suppose 3*z - 28 = -2*b, 3*z - 25 = -3*b + 20. Let h(y) = y**2 + y + 1. Let p be h(-2). Suppose -p*m - m = -36. Calculate the remainder when b is divided by m.
8
Let f be -5*(3/(-15) - 1). Let n = 4 + f. Calculate the remainder when 28 is divided by n.
8
Suppose 93 = -r + 4*r. Let i(s) = -s**2 + 2*s - 1. Let f be i(1). Let y(c) = -c + 8. Calculate the remainder when r is divided by y(f).
7
Let u(j) = j**2 + 12*j + 16. Suppose l - 3*l - 27 = -5*t, -l + 2*t - 13 = 0. What is the remainder when 9 is divided by u(l)?
4
Let r = 7 + 7. Let d(o) = o**3 - 5*o**2 + 8*o. What is the remainder when d(5) is divided by r?
12
Let f(b) = -b**2 - 11*b + 8. What is the remainder when 67 is divided by f(-10)?
13
Suppose 2*p - 4*r = 15 + 5, -5*p + 23 = -r. Suppose -5*o = -2*o - 543. Suppose o - 49 = p*g. Calculate the remainder when g is divided by 12.
9
Suppose -4*g + 2*z = -g - 25, 3*z - 5 = -4*g. What is the remainder when g is divided by (-2 - -5)*(0 + 1)?
2
Suppose 0 = -4*g + 57 - 9. Calculate the remainder when 21 is divided by g.
9
Let t(q) be the first derivative of q**4/4 - 2*q**3 + 3*q**2 + 4*q - 1. What is the remainder when t(5) is divided by 5?
4
Let t = -5 - -22. Suppose -2*l - 7*p = -2*p, -l + 1 = 2*p. Calculate the remainder when t is divided by l.
2
Suppose k = 5*k - 116. Suppose 0*m = m - k. Calculate the remainder when m is divided by 16.
13
Let g(l) = l**2 + 5*l + 3. Calculate the remainder when 49 is divided by g(-7).
15
Suppose 4*t - 4*g - 25 = -3*g, 0 = 4*t - 3*g - 19. Let b(z) = -z**3 + 8*z**2 - 7*z + 10. What is the remainder when 38 is divided by b(t)?
8
Suppose -5*b - 11 = -3*b + u, -5*b = u + 29. What is the remainder when (20 + b)*(-33)/(-6) is divided by 16?
13
Suppose 0 = -4*r + 3*n + 2 - 8, -3*n = 6. Let h be 18*1/(r/(-2)). Let m = 3 + h. What is the remainder when m is divided by 8?
7
Suppose -39 - 59 = -2*q. What is the remainder when q is divided by 13?
10
Suppose m + 2*m + 63 = 0. What is the remainder when 41 is divided by m/((-2)/(2/1))?
20
Let v(t) = t**2 - 5*t + 2. What is the remainder when v(8) is divided by 14?
12
Let s(i) = -4*i**3 + i + 1. Calculate the remainder when (-4)/(-10) + (-96)/(-10) is divided by s(-1).
2
Let k(y) = -y**3 + 5*y**2 + y + 1. Let s(m) = m**3 - 5*m**2 - 1. Let a(t) = -4*k(t) - 5*s(t). What is the remainder when 19 is divided by a(3)?
5
Suppose 2 = 3*h - 4. Suppose h*d - 6 + 0 = 0. What is the remainder when 8 is divided by d?
2
Calculate the remainder when 191 is divided by (-5 - -5)/(-1) + 48.
47
Let f = -7 + 9. Let c be -2*(14/f + -3). Let z(k) = -2*k + 3. What is the remainder when z(c) is divided by 7?
5
Let p(l) = -l**3 + 10*l**2 - 9*l + 13. What is the remainder when p(9) is divided by 4?
1
Let g = 10 - 2. Calculate the remainder when 22 is divided by g.
6
Let b(t) = 5*t**2 - 4*t. Calculate the remainder when b(-3) is divided by 10.
7
Let w(x) = -x**3 + 5*x**2 - 3*x + 7. Calculate the remainder when w(4) is divided by 3.
2
Suppose 3*p = -2*p. Suppose p = 6*g - g - 20. Calculate the remainder when (-1 + 2 + 0)*6 is divided by g.
2
What is the remainder when 26/(-26) - (-51 + 1) is divided by -2*(19/(-2) - -1)?
15
Suppose 0 = 2*f + 5*h - 15, 4*f = -0*h + 2*h - 6. Suppose -y + 24 = w, 5*w + f*y + y - 116 = 0. Calculate the remainder when w is divided by 12.
11
Let j(c) = -4*c - 10. Let o be (-2)/6 - 48/18. Let p(q) = -q**3 - q**2 + 5*q + 3. What is the remainder when j(-8) is divided by p(o)?
4
Suppose 2*p - 3*d - 54 = 0, 15 + 13 = p - 2*d. Suppose -3*b + 108 = p. Let r = 57 - 47. Calculate the remainder when b is divided by r.
8
Let p(u) = -4*u**3 + 3*u + 6*u**3 - 3*u**3 + 2*u**2 - 5*u**2 + 1. What is the remainder when 8 is divided by p(-4)?
3
Let z = -8 - -12. Suppose 0*i = z*i + 16. Calculate the remainder when 26 is divided by i*1 - -2 - -16.
12
Let b be 2 + (-4)/(-6)*-3. Let o(f) = f**2 + f + 24. What is the remainder when 70 is divided by o(b)?
22
Let w(v) = -v**2 - 18*v - 4. What is the remainder when w(-12) is divided by 18?
14
What is the remainder when 9 is divided by -3*-2*35/30?
2
Let t = -96 + 134. Calculate the remainder when t is divided by 8.
6
Suppose 3*u - 70 = -4*d, 0 = -5*u - 2*d + 3*d + 155. Calculate the remainder when u is divided by 17.
13
Let u be 26*1*1/(-2). Suppose 3*z = z + 12. What is the remainder when 3 - 2*u/2 is divided by z?
4
Let d(x) = x**3 + 9*x**2 + 3*x - 2. Calculate the remainder when d(-6) is divided by 30.
28
Suppose 10*y - 5*r - 64 = 6*y, 64 = 4*y - 3*r. Let z(x) = x**3 - 2*x**2 - 3*x - 2. Let c be z(3). What is the remainder when (-6 - c)*(-284)/y is divided by 24?
23
Let p be 2/(-8) + 1005/20. Suppose -2*r + 0*b + p = 4*b, -76 = -3*r - 5*b. What is the remainder when 52 is divided by r?
25
Let u be (1 - 2) + (-3 - -1). Let x(a) = -4*a - 2. Let m = 0 + 4. What is the remainder when x(u) is divided by m?
2
Suppose -4*a - g + 44 = 3*g, -15 = 5*g. What is the remainder when 27 is divided by a?
13
Suppose 13*o + 67 = 14*o. What is the remainder when o is divided by 35?
32
Suppose 0*y = 4*y - 4. What is the remainder when 2 - -34 - (-3)/y is divided by 10?
9
Let h = 95 + -89. Let m(c) = -c - 6. Let v be m(-6). Suppose v = 3*y + 2*y - 55. What is the remainder when y is divided by h?
5
Suppose 0 = -v - j - 5, 2*v - j = v - 13. Calculate the remainder when (-147)/v - (-4)/6 is divided by 10.
7
Suppose 84 = -4*x + 384. Suppose -5*q = x - 190. What is the remainder when 89 is divided by q?
20
What is the remainder when 349/5 + (-4)/(-20) is divided by 24?
22
Suppose -f + 15 = 4*f. Suppose -f*x = x - 24. Let i = x - 3. Calculate the remainder when 4 is divided by i.
1
Suppose -10*t + 136 = -2*t. Calculate the remainder when 62 is divided by t.
11
Suppose -3*y + 6 + 9 = 0. Suppose -2*w + y*g = -53, 13 + 2 = -5*g. Calculate the remainder when w is divided by 10.
9
Let c be (-3)/(-9) - (-181)/(-3). Let h be (-2)/7 + 292/(-7). Let f = h - c. Calculate the remainder when 52 is divided by f.
16
Let k be 10/3 + 6/9. Let h(l) = l + 2. Suppose 24 - 4 = 2*n. Calculate the remainder when n is divided by h(k).
4
Let r(j) = -j**3 + 13 + 10*j**2 - 10 - 2*j - 3*j + 8. What is the remainder when r(9) is divided by 16?
15
Let g = 10 + -14. Let j = 23 + -13. Calculate the remainder when 124/7 - g/14 is divided by j.
8
Let s = -127 + 179. Calculate the remainder when s is divided by 14.
10
Let s be (-38)/(-14) - (-2)/7. Suppose -2*f + s*f = 10. Calculate the remainder when f is divided by 4.
2
Suppose -2*p = -4*p + 6. Suppose 5*h + 28 = 5*w + p, 5 = -h. Let v(d) = -d**2 + 1. What is the remainder when v(w) is divided by 1?
0
Let s = 5 + -2. What is the remainder when 11 is divided by s/(-9) + 88/12?
4
Suppose -45 + 5 = -4*c. Let b(n) = 7*n - 14. Calculate the remainder when b(6) is divided by c.
8
Let u = -27 - -18. What is the remainder when 141*(-1 + (-12)/u) is divided by 2/((15/(-24))/(-5))?
15
Let c = -20 - -38. Suppose 3*l + 5*g = 230, -152 = -2*l + 2*g - 5*g. What is the remainder when l is divided by c?
16
Suppose -4*g + 2*x + 72 = 0, -4 = -g + 4*x + 7. Let j = g + -11. Suppose 0 = -4*s, 2*s = 4*v - 2*v - 58. What is the remainder when v is divided by j?
5
Suppose 4*c - 904 + 168 = 0. Suppose -b - 3*a + 7 = a, -2*b - 5*a + 11 = 0. Suppose -b*t - t = -c. Calculate the remainder when t is divided by 16.
14
Let w(v) = v**2 - 114. Let k be w(0). Let p = k + 168. Calculate the remainder when p is divided by 19.
16
Let f = 23 - 16. Let a = f + 4. What is the remainder when 32 + 2*(-3)/6 is divided by a?
9
Suppose 4*d = -2*s + d + 12, -2*s = -4*d - 12. What is the remainder when 47 is divided by (-12)/8*(-64)/s?
15
Let u(b) be the second derivative of b**4/12 + b**3/3 + 3*b**2/2 + 2*b. Let d(v) = 8*v**2 + v - 2. Calculate the remainder when d(2) is divided by u(-4).
10
Let m = 85 - 30. Suppose 3*k + m = 5*t, 4*k = k. What is the remainder when t is divided by 6?
5
Suppose 0 = 4*x - 7*x + 6. Suppose -o + 11 = -x*c, 2*c = -2*c. What is the remainder when -21*(2/(-2) 