.
14
Let o(v) = -9*v**3 - v**2 + 4*v + 2. Calculate the remainder when o(-2) is divided by 21.
20
Suppose -2*m + 3*j + 5 = -0*j, 4*j = 4*m - 20. Calculate the remainder when 27 is divided by m.
7
Suppose k = -5*w + 244, -96 = -4*w + 2*w - 2*k. Suppose -4*i + i = -39. Calculate the remainder when w is divided by i.
10
Let t = 0 - -1. Suppose 2 + t = g. Suppose -1 = -g*m + 8. Calculate the remainder when 5 is divided by m.
2
Suppose 5*c - 1 = -3*f, 0*c - 2*f - 8 = -c. Suppose -u = -2*u + c. Suppose 0 = u*b + 5 - 19. Calculate the remainder when 20 is divided by b.
6
Let x be -3*((-10)/(-3))/(-1). Let j be (-4 - -11) + -1 + 0. Suppose -j*b = -b - x. What is the remainder when 2 is divided by b?
0
What is the remainder when 53 - (8/(-4) + 2) is divided by 14?
11
Let q = -17 - -38. What is the remainder when 35 is divided by q?
14
Let m = -30 + 74. Calculate the remainder when m is divided by (45/6)/((-2)/(-4)).
14
Suppose -5*n + 8 = -i, 0 = 2*n - 4*i - 0 + 4. Suppose -r = n*r - 30. What is the remainder when r is divided by 4?
2
Let w(a) = 6*a**2 + 2*a - 1. Let i = 1 - 2. What is the remainder when w(1) is divided by (-1)/(i/(-8)*-2)?
3
Suppose -26 = -3*g - 5*i, 1 = -5*g - 4*i + 27. Calculate the remainder when g is divided by 1.
0
Let n(i) = -i**3 - 6*i**2 + i + 9. What is the remainder when 35 is divided by n(-6)?
2
Let t = -114 - -167. Calculate the remainder when t is divided by 14.
11
Let g = 0 - -5. What is the remainder when 19 is divided by g?
4
Let b(u) = u**2 + 8*u - 12. Let n be b(-9). Let d be 2 - (-2)/(-4)*0. Calculate the remainder when 13 is divided by d/3 - 13/n.
3
Let s(d) = d**3 + 4*d**2 + 3*d + 4. Let n be s(-3). Suppose -25 = -9*k + n*k. What is the remainder when 13 is divided by k?
3
Let g(c) = -c**2 + 3*c - 1. Let o be g(2). Let d(y) = -12*y + 1. Let r be d(o). What is the remainder when 19 is divided by (r/(-3) + -2)*6?
9
Calculate the remainder when -6*(150/(-4))/5 is divided by 8/((-15)/(-9) + -1).
9
Let f(q) = -30*q**2 + 6. Let p(d) = -30*d**2 + 7. Let r(b) = -6*f(b) + 5*p(b). Let c be (1 + -2)*(-3)/3. What is the remainder when r(c) is divided by 10?
9
Let o = -32 - -10. Let q = -8 - o. What is the remainder when 54 is divided by q?
12
Calculate the remainder when ((-175)/(-21))/((-38)/(-12) + -3) is divided by 13.
11
Suppose 0 = -5*g - j + 17, -j + 11 = 2*g - 2*j. Suppose 3*y - g*y + 32 = 0. Suppose 5*a - y = 28. What is the remainder when a is divided by 7?
5
Let y(f) = -10*f**3 + f**2 - f - 1. Let h be (-5)/10 + 2/(-4). What is the remainder when 31 is divided by y(h)?
9
Suppose -2*z + 44 = 2*z. Suppose v - z = 3*q - 31, -4*v = -4. What is the remainder when 25 is divided by q?
4
Suppose 0 = 5*h - 1 + 6. Let r(l) = -3*l + 3. Calculate the remainder when h/6 - 211/(-6) is divided by r(-3).
11
Suppose -21 = f + 2*r, -3*f - r = 47 - 9. Let j(k) = k**2 + 11*k + 7. Let b be j(f). Let g = 2 + b. Calculate the remainder when 15 is divided by g.
6
Let h(u) = u**3 + 8*u**2 - 2*u - 2. Suppose 0 = -4*d + 3*r - 22, -17 + 1 = 2*d + r. What is the remainder when h(d) is divided by 21?
19
Suppose -2*b + 4*t = -26, -3*b - 2*b = 5*t - 110. Suppose -4 = -a + 6. What is the remainder when b is divided by a?
9
Suppose 0*l = -3*l - 15. What is the remainder when 27 is divided by (l - 1)*7/(-3)?
13
Let k = -5 + 11. Calculate the remainder when (-4)/k + (-104)/(-12) is divided by 5.
3
Let f = 31 - 1. What is the remainder when 147 is divided by f?
27
What is the remainder when (3*2)/(57/494) is divided by 11?
8
Let k(b) = -b**3 - 5*b**2 - b - 1. Let w be k(-5). Suppose -2*v + 1 = h, h - 7 = v - 3. Calculate the remainder when (-19)/(-3) + w/6 is divided by h.
1
Let y = 13 + -8. Suppose 10 = -y*x + 60. Let n = 62 + -33. Calculate the remainder when n is divided by x.
9
Let a(x) = -x**2. Let c be a(-2). Let f = c - -7. Let p = 9 - f. Calculate the remainder when p is divided by 4.
2
Suppose 4*i = -4*n + 16, -3*n + 8 = 2*i - 0*i. Suppose -x - 10 - 12 = n. Let u = 70 + x. What is the remainder when u is divided by 25?
23
What is the remainder when 1 + 0 - -33 - (-45)/(-15) is divided by 16?
15
Suppose -3*b - 212 = 28. Let a = -31 - b. Calculate the remainder when a is divided by 17.
15
Let d(r) = r**2 - 4*r - 3. Suppose -2*o = -7 + 3. Calculate the remainder when o is divided by d(5).
0
Let y = -6 + 7. Suppose -y - 15 = -2*w. Let s = -3 + 6. What is the remainder when w is divided by s?
2
Let i be (-6)/9*3 - -11. Suppose 7*m - i*m = -116. Calculate the remainder when m is divided by 20.
18
Let w(g) be the third derivative of -13*g**6/120 + g**5/60 - g**4/24 - g**3/6 + 2*g**2. What is the remainder when 53 is divided by w(-1)?
11
Let s(l) = l**2 + 5*l + 16. Calculate the remainder when 131 is divided by s(-6).
21
Suppose 4*g + 6 = v + 55, -g + v + 13 = 0. Suppose 10*p + 24 = g*p. Calculate the remainder when 58 is divided by p.
10
Let v = -2 + 28. Suppose 4 = -2*b + 3*w + 28, 4*b - w - 38 = 0. Calculate the remainder when v is divided by b.
8
Let v(i) = -i**2 - 1. Let r(d) = -7*d**2 + 5*d - 1. Let u(q) = -r(q) + 4*v(q). Calculate the remainder when u(-3) is divided by ((-4)/10)/((-2)/100).
19
Let a = -4 - -22. Let o = a + -5. What is the remainder when (-142)/(-4) + (-5)/(-2) is divided by o?
12
Suppose 4*q = 2 + 6. Let g = q + 0. Suppose -g*x + 5*n + 44 = 0, 3*x + 0*x - 2*n - 66 = 0. Calculate the remainder when 43 is divided by x.
21
Suppose -24 - 8 = -4*f. Calculate the remainder when f is divided by 2.
0
Let v(n) = 3*n**2 - 7*n + 6. Let t be v(5). Suppose -3*b + 1 = t. Let z = -3 - b. Calculate the remainder when 23 is divided by z.
11
Suppose 0 = -0*q + 5*q - 35. Let b(z) = z - 3. What is the remainder when 10 is divided by b(q)?
2
Suppose 3*x = -2*b + 53, 107 = 3*b + x - 2*x. What is the remainder when b is divided by 12?
10
Calculate the remainder when (-3)/5 - (3 + 616/(-10)) is divided by 30.
28
Let a be (8/10)/((-5)/25). Suppose 4*j - 71 = -3*h, -3 - 4 = -h + 2*j. Calculate the remainder when h is divided by (-2 - a) + 9 + -5.
5
Suppose 3*n = -4*h - 7, n - h - 2 = 5. Calculate the remainder when 11 is divided by n.
2
Suppose -3*d - 2*d = -70. Let n(x) be the second derivative of -x**5/20 - x**4/2 - 5*x**3/6 + 2*x**2 + 3*x. Calculate the remainder when d is divided by n(-5).
2
Suppose 0 = d + 2*p - 0 - 1, 4*d - 4*p = 16. Suppose -10 = -d*t - 1. What is the remainder when 4 is divided by (-16)/(-12) + 2/t?
0
Calculate the remainder when 217 is divided by -2*(6 - 402/12).
52
Calculate the remainder when 63 is divided by -1 + 18*(-4)/(-8).
7
Suppose -2*l + 22 = -22. Suppose -7 - 1 = 2*y. What is the remainder when (y/(-6))/(4/258) is divided by l?
21
Let f(p) = -p**3 - p**2 + 5. Suppose 10 - 2 = q + 2*v, v + 38 = 3*q. Calculate the remainder when f(-3) is divided by q.
11
Let d(i) = i**2 - 9*i - 13. Calculate the remainder when d(14) is divided by 20.
17
Let d(s) = -s**3 + 7*s**2 + 6*s - 5. Let f be d(7). Suppose 0 = 4*n - n - h - f, 0 = h - 2. Calculate the remainder when n is divided by 4.
1
Suppose 2*l = y - 6*y + 59, 49 = 5*y - 3*l. Suppose 0 = -r + y + 3. What is the remainder when 41 is divided by r?
13
Suppose -3*q + 3*n - 19 = -94, 5*q + n = 143. What is the remainder when q is divided by 56/6 + (-2)/(-3)?
8
What is the remainder when 3 is divided by 2/6 - (-2)/3?
0
Let i be (1 + 2)/(4/20). Calculate the remainder when 35 is divided by -5*((-216)/i)/4.
17
What is the remainder when 240 is divided by (5 + -32)*(0 - 1)?
24
Suppose -u + 2 = -0. Let x = u - -1. Suppose 4 = x*m - 29. What is the remainder when m is divided by 6?
5
Suppose -b = -2*b. Suppose b*s + 2 = s. Suppose 3*h = 4*p - 142, -5*h + 126 = 2*p + s*p. Calculate the remainder when p is divided by 9.
7
Suppose 11 = y - 90. What is the remainder when y is divided by 26?
23
Let i = 14 + -2. Calculate the remainder when 32 is divided by i.
8
Suppose 5*w - 58 = -3*p, -2*w + 26 = -0*w + 4*p. Calculate the remainder when 17 is divided by w.
6
Let l(f) = -f**2 - 10*f - 10. Let p = -31 + 36. What is the remainder when l(-6) is divided by p?
4
Suppose -3*m + 52 = 2*c - 4*c, 3*c - 39 = -2*m. Calculate the remainder when 69 is divided by m.
15
Let f = 23 + -9. Let c(b) = -b**2 + 16*b - 7. Calculate the remainder when f is divided by c(15).
6
Let l = 63 - 40. What is the remain