10
Suppose 5*d - 2*p - 446 = 46, 5*p = 2*d - 180. Suppose 3*y = -4*f - 187, -5*f + 79 = -y - 3*f. Let u = y + d. What is the remainder when u is divided by 11?
9
Suppose 4*h - 39 = -4*o - 11, 5 = -5*h. Suppose 5*f - 36 = 264. Suppose -4*z = -0*z - f. Calculate the remainder when z is divided by o.
7
Suppose 3 - 8 = -p. What is the remainder when 12 is divided by p?
2
What is the remainder when (-4)/(-12) + 736/6 is divided by 42?
39
Let w(c) = -c**3 - 5*c**2 + 4*c. Let t(f) = -f**3 - 6*f**2 + 4*f + 1. Let y(d) = 2*t(d) - 3*w(d). What is the remainder when 5 + 0 + 0/(-2) is divided by y(-4)?
1
Let l(a) = 13*a**2 + 1. Suppose 4*z - 5*d = 133, 0 = z + 2*d - 8 - 9. What is the remainder when z is divided by l(1)?
13
Let c(m) = -m**3 - 6*m**2 - 7*m - 1. Let x be 3/(-2) - (-350)/20. Let s = x + 1. What is the remainder when s is divided by c(-5)?
8
What is the remainder when 87 is divided by (1 + (-47)/2)*(-6)/9?
12
Let n(f) = 2*f**2 - 12*f - 39. Let s(a) = -a**2 + 6*a + 19. Let q(c) = -4*n(c) - 9*s(c). What is the remainder when q(11) is divided by 14?
12
Let m = -59 - -123. What is the remainder when m is divided by 13?
12
Suppose -3*p = 2*p + 195. Let i = p - -76. Suppose 5*w + h - 46 - i = 0, 5*w - 77 = -4*h. What is the remainder when w is divided by 9?
8
Let c(o) = 33*o**2 - 1. Let k be c(1). Suppose 2*b = -5*y - 2*b + 54, 2*y = b + k. What is the remainder when 26 is divided by y?
12
What is the remainder when 35 is divided by 472/48 + (-1)/(-6)?
5
Suppose 12*m - 30 = 7*m. Calculate the remainder when m is divided by 2.
0
Suppose 4*p - 11 = 5. What is the remainder when 15 is divided by p?
3
Suppose -5*f + 10 = 0, -2*f = n - 5*f + 12. What is the remainder when 113 is divided by (-4)/n + (-170)/(-6)?
26
Suppose -t - 2*d - d = 20, -5*t + 2*d - 15 = 0. Let p = t - -14. What is the remainder when p is divided by 4?
1
Let k = 63 - 54. Calculate the remainder when 26 is divided by k.
8
Let u(g) = -g**2 - 14*g + 3. Suppose -2*p + 45 - 15 = 0. What is the remainder when u(-12) is divided by p?
12
Suppose -3*w + 4 = -2*w. Suppose -5*n + h = -71, 5*n - 2*h + w*h = 83. Calculate the remainder when (-6)/(-24) + (-454)/(-8) is divided by n.
12
Let u be -8 - 4/6*-3. Let r(g) = -g + 1. Let t be r(u). Let z = t + -4. Calculate the remainder when 7 is divided by z.
1
Suppose 0*o = -3*o + 3. What is the remainder when 2 is divided by o?
0
Let c = 12 + -7. Suppose 11 - 36 = -c*w. Suppose w*y - 3*y - 6 = 0. Calculate the remainder when y is divided by 2.
1
Suppose 5*y + 8 + 67 = 0. Calculate the remainder when 2 is divided by -2 + 5/(y/(-9)).
0
Let k(y) = -y**3 + 4*y**2 + 3*y - 4. Let c(o) = -o**3 + 7*o**2 - 5*o - 11. Calculate the remainder when c(5) is divided by k(4).
6
Let j be 15/7 - 2/14. Suppose j*a = 2*v - 18, 0*v + 2*a = -5*v + 66. Calculate the remainder when 34 is divided by v.
10
Let x(t) = -3*t**3 - 3*t**2 - 2*t + 2. Let b be x(3). What is the remainder when b/2*(-7)/4 is divided by 25?
23
Suppose 3*m + 1 = 10. Suppose -m*n + 23 = t, 4*t = -n - 4*n + 113. Calculate the remainder when t is divided by 11.
10
Let y be 6*2*3/12. Suppose 5*p - 18 = y*p + 4*o, 4*p - 3*o - 56 = 0. Let i = p + -2. What is the remainder when i is divided by 8?
7
Let p = 12 - 11. Let n = p - -14. Suppose 0 = -s + 5, -2*s - 127 = -3*r - s. Calculate the remainder when r is divided by n.
14
Suppose -4*c + 3 = -1. Suppose 3*z - 19 = -5*w + 2*z, 5 = -w + 2*z. What is the remainder when w is divided by c?
0
Suppose -4*n = 4*i - 8, 5 = i - 5*n + 3*n. Suppose i*z = -2*z + 100. Calculate the remainder when z is divided by (-30)/(-4) + 1/(-2).
6
Let y be 0 + 26 + (-1 - 1). Let m be 0 - (y/2)/(-3). Suppose 0 = m*z - z - 102. What is the remainder when z is divided by 18?
16
Suppose 0 = 2*t + t - 6. Suppose 7 = i - 4. What is the remainder when (-4)/22 - (-46)/i is divided by t?
0
Let m(u) = u**2 - 4*u - 2. Calculate the remainder when 58 is divided by m(6).
8
Let q = 21 + -19. Calculate the remainder when 7 is divided by q.
1
Let s(w) = 5*w**3 - w**2 + w. Let b = 7 - 6. Calculate the remainder when 12 is divided by s(b).
2
Let o(a) be the first derivative of -a**4/4 + 5*a**3/3 + 3*a**2 - a + 4. Calculate the remainder when o(5) is divided by -6*((-2)/4 + -2).
14
What is the remainder when 19 is divided by ((-1)/(-1))/((-1)/(-3))?
1
Suppose -4*o + 3 = t + 22, 13 = 3*t - 2*o. Suppose -x - t = -2. Calculate the remainder when x is divided by 1.
0
Suppose v - 4*v = -168. What is the remainder when v is divided by 20?
16
Suppose -24 = -5*d - d. What is the remainder when 6 is divided by d?
2
Suppose 2*o = 8 - 0. Suppose -2*i + o*i = 94. What is the remainder when i is divided by -1 + 0 + 17 + 0?
15
Suppose 0 = -5*d - 0*d + 70. Calculate the remainder when 25 is divided by d.
11
Let z(i) = -i**3 + 7*i**2 + 3*i - 10. Suppose -g - x + 2 = -0*x, 2*g = 4*x + 34. Calculate the remainder when z(g) is divided by 74/12 - (-4)/(-24).
5
Let b(r) = -4*r**3 - 3*r**2 + 2. Suppose 40 - 10 = 4*y - 2*k, -4*y + 29 = -3*k. What is the remainder when b(-2) is divided by y?
6
Suppose -3*y - y = 20, -5*v = -2*y - 90. Suppose 4*o - v = 3*s - 59, 2*s = -o + 14. Let j(i) = 3*i - 4. What is the remainder when s is divided by j(3)?
4
Let z(v) = v. Calculate the remainder when z(10) is divided by 3.
1
Suppose 0 = 4*t - 5 - 3. Let d = 16 - 10. Suppose -10*c = -d*c - 8. Calculate the remainder when c is divided by t.
0
Suppose -v - 4*s - 9 = -77, -4*v = 2*s - 230. Calculate the remainder when 167 is divided by v.
55
Suppose 3*t + 4*i - 53 - 5 = 0, -t = -3*i - 15. Calculate the remainder when 30 is divided by t.
12
Suppose -3 - 17 = -2*t. What is the remainder when 28 is divided by t?
8
Let b(k) = k**2 - 4. Let r be b(-3). Suppose a - d - 7 = -a, -2*a - 23 = r*d. Let c(v) = -v**2 - 4*v + 1. What is the remainder when a is divided by c(-4)?
0
Suppose -209 + 74 = 5*l. Let o = -12 - l. Calculate the remainder when (-390)/(-9) - (-14)/21 is divided by o.
14
Let a = -29 + 14. Suppose -2*t - 100 = 2*t. Let k = a - t. What is the remainder when 28 is divided by k?
8
Let t be (-43 + 1)*(-8)/12. Suppose t = f + f. What is the remainder when 40 is divided by f?
12
Let x(t) = 2*t + 4. Let y be x(-3). Suppose 168 + 12 = 5*d + 5*b, 2*d = 4*b + 60. Calculate the remainder when d is divided by 11 + y + 1 + 2.
10
Let r = 23 - 10. Let v = 21 - r. What is the remainder when 23 is divided by v?
7
Suppose 0*x + 4*u = -5*x - 2, x = u - 4. What is the remainder when (-220)/(-18) + 2/(-9) is divided by (-1)/x*-2*-7?
5
Let a = 37 + -26. Suppose -8*q + a = -7*q. What is the remainder when 19 is divided by q?
8
Let v(q) = 2*q - 7. What is the remainder when 12 is divided by v(6)?
2
Let q(c) = -c**2 + 11*c + 3. Let v be q(11). Let r = 19 - v. What is the remainder when 63 is divided by r?
15
Let t(c) = 100*c**2 - 1. Let a be t(-1). Suppose -d - 97 = -4*z, -3*z + 5*d = 22 - a. Let q(i) = 8*i - 3. What is the remainder when z is divided by q(2)?
11
Let j be (4/4)/((-1)/(-10)). Suppose 2*q + j = 4*q. What is the remainder when q is divided by 2?
1
Let c(s) = s**2 - 10*s + 10. Let t be c(9). Let m be (t*-19 - -2)*-1. Let d = m - 12. What is the remainder when 13 is divided by d?
3
Suppose 2*f - 2 = f. Let q be (-12)/(0 + 3) - 1. Let a = f - q. What is the remainder when 20 is divided by a?
6
Let l = -116 + 169. Calculate the remainder when 157 is divided by l.
51
Suppose 2*a - 2*c = 178, -3*a - 7*c + 3*c + 274 = 0. Suppose -3*j - 3*g + 72 = 0, -2*g - 3*g = -5*j + a. What is the remainder when j is divided by 12?
9
Suppose 56 - 5 = 3*s. Calculate the remainder when 82 is divided by s.
14
Let l(f) = f**2 - 6*f + 10. What is the remainder when l(9) is divided by 14?
9
Suppose 3*l = -2*l + 35. Let k be (0 - 0)/(0 - -3). Suppose k = h + 2*x - 33, -3*h - 4*x - 34 = -5*h. Calculate the remainder when h is divided by l.
4
Suppose 6*g = g + 90. Let c = 33 - 23. What is the remainder when g is divided by c?
8
Let t = -37 + 81. Suppose 2*q = -2*q + 244. Suppose 3*n = -4*l + q, -71 = -2*n - 3*n + l. Calculate the remainder when t is divided by n.
14
Let v(p) = 6*p**2 + 8*p - 7. Let w(z) = 7*z**2 + 9*z - 8. Let g(x) = 6*v(x) - 5*w(x). Suppose -4*d + 6 = -2. Calculate the remainder when g(-4) is divided by d.
0
Let u(a) be the first derivative of -a**4/4 + 2*