. Calculate the remainder when i is divided by 7.
5
Let i = -5 - -25. Let l = 36 - i. Let h = 20 + -11. Calculate the remainder when l is divided by h.
7
Suppose -4*z + z = 0. Suppose -i - j - 3 = z, 4 = 4*i + j + 1. What is the remainder when i is divided by 1?
0
Suppose 4*l = 2*l + 10. What is the remainder when 19 is divided by l?
4
Let z(d) = 3*d - 3 + d**2 + 0 - 4*d + d**2. What is the remainder when 45 is divided by z(3)?
9
Let m(p) = 2 - 3 + p**3 + 3 - p + 3*p**2. Let s(r) = -r**3 + 3*r**2 - r. Let g be s(3). What is the remainder when 8 is divided by m(g)?
3
Let l be 0*(-2 - 6/(-2)). Let x(s) = s**2 + 2*s + 24. Calculate the remainder when 45 is divided by x(l).
21
Suppose 5*k - 10 = 0, -2*v - k = -2*k - 98. Let l(f) = f + 10. Calculate the remainder when l(8) is divided by ((-40)/50)/((-4)/v).
8
Let x = -69 + 116. Calculate the remainder when x is divided by 10.
7
Suppose 2*w - 244 = -2*w - 4*f, -2*w + 87 = -5*f. Suppose -i = -3*c + w, -2*c - 4*i = i - 60. What is the remainder when 38 is divided by c?
18
Suppose 5*f = -5*y, -4*y - 6*f + 4 = -4*f. Suppose -5 = -0*o - o. Calculate the remainder when o is divided by y.
1
Suppose 5*r - 12 = r. Suppose -20 = -u - r*u. Calculate the remainder when 19 is divided by u.
4
Let t(z) = 5*z - 43. What is the remainder when t(24) is divided by 28?
21
Let j(m) = 21*m**2 + m - 1. Let b(l) be the third derivative of l**5/60 - 2*l**2. Let q(r) = -4*b(r) + j(r). Calculate the remainder when q(1) is divided by 6.
5
Let y(g) = 2*g - 9. Let k be y(6). Suppose -n - 18 = -k*n. What is the remainder when 26 is divided by n?
8
Let a = -29 - 20. Let q = -8 - a. Let f = -22 + 36. What is the remainder when q is divided by f?
13
Suppose -3*d - 30 = -6*d. Suppose -v + 85 = 4*v. Calculate the remainder when v is divided by d.
7
What is the remainder when 6*6/4*(9 - 0) is divided by (-2)/(-10) - (-556)/20?
25
Let v(r) = -r**3 + 6*r**2 + 10*r + 2. Calculate the remainder when 158 is divided by v(7).
20
Let y(g) = -3*g**3 + 34*g**2 + 2*g + 13. Let f(n) = -2*n**3 + 17*n**2 + n + 7. Let s(m) = 5*f(m) - 3*y(m). Calculate the remainder when 24 is divided by s(-17).
11
Suppose 5*w - 163 - 172 = 0. Suppose 5*v = -0*t + 3*t - 63, -w = -4*t + v. Calculate the remainder when 47 is divided by t.
15
Let y = 4 - 4. Suppose k = -y*k + 2*l + 6, k - 10 = 4*l. What is the remainder when 7 is divided by k/(-12) + 25/6?
3
Let j = 32 + -19. Let v(h) be the third derivative of 11*h**5/60 + h**4/6 + h**3/3 - 2*h**2. What is the remainder when v(-2) is divided by j?
12
Let r = 0 + 3. Let d(c) = c**2 - c + 6. Calculate the remainder when d(0) is divided by r.
0
Let s = -51 - -82. Suppose -6 - 16 = -2*z. What is the remainder when s is divided by z?
9
Suppose -5*u = -9*u - 152. Suppose 0 = 5*m - 17 - 8. What is the remainder when 2/(1 - (-34)/u) is divided by m?
4
Let s(c) be the first derivative of -7*c**2/2 + c - 4. What is the remainder when 22 is divided by s(-1)?
6
Let h(n) = -3*n + 5. Calculate the remainder when h(-8) is divided by 16.
13
What is the remainder when 10*(1 - (-28)/10 - 3) is divided by 6?
2
Let l(m) = 3*m - 2. Calculate the remainder when l(7) is divided by 5.
4
Let p(b) = -b**3 + 9*b**2 + 12*b - 6. Let d be p(10). Let l = 20 - d. What is the remainder when 21 is divided by l?
3
Suppose -5*p - 2*u + 7 = 2, 0 = 5*p + 4*u + 5. Suppose 0 = 5*f - 0*f - 40. What is the remainder when f is divided by p?
2
Let w(q) = q**3 - q**2 - q + 10. Let i be w(0). Suppose o + 4*o + i = 0. What is the remainder when o/(-4) + (-12)/(-8) is divided by 2?
0
Suppose -2*r + 20 = x, 5*x - 107 = -r - 2*r. Calculate the remainder when 108 is divided by x.
20
Let h = 10 - 4. What is the remainder when 17 is divided by h?
5
Let c(y) = y + 38. Let s(w) = 46*w + 1. Let a be s(-1). Let b = -32 - a. What is the remainder when c(0) is divided by b?
12
Calculate the remainder when (378/(-12))/((-1)/2) is divided by ((-24)/(-15))/(2/20).
15
Let r = 185 + -107. Calculate the remainder when r is divided by 10.
8
Suppose 4*s + j - 4*j - 1 = 0, 0 = -5*s - 5*j + 45. Calculate the remainder when 6 is divided by s.
2
Suppose 4*y - 8*y - 72 = 0. Let s = 4 + -3. What is the remainder when 16 is divided by (-18)/s*9/y?
7
Suppose 2*q + 9 - 1 = 0. What is the remainder when (q/(-6))/(8/204) is divided by 10?
7
Let q(z) = z + 31. Calculate the remainder when 173 is divided by q(-6).
23
Let q(d) = d**3 - 5*d**2 - 3*d. Suppose 2*p = -p + 369. Let j = -88 + p. What is the remainder when j is divided by q(6)?
17
Suppose 0*c - 2*c + 54 = 0. Let a = -19 - -34. What is the remainder when c is divided by a?
12
Suppose 3*x = 3*h + 24, 4*x = -5*h - 1 - 3. Calculate the remainder when 10 is divided by x.
2
Let t be (22/4 - 0)*-2. Let k be (-108)/(-45)*20/(-6). Calculate the remainder when (1 + t)/(2/k) is divided by 14.
12
Suppose -9 - 11 = -5*a. What is the remainder when 30 is divided by a?
2
Let k = -12 + 13. Let y be ((-4)/(-8))/((-2)/(-80)). Suppose -13 = 3*j + x + 3*x, 5*x + y = 0. What is the remainder when j is divided by k?
0
Let j = -19 - -61. What is the remainder when j is divided by 11?
9
Let s = 37 - -30. Calculate the remainder when s is divided by 14.
11
Let n = 41 - 38. Let w = 1 - -2. Suppose 6 + 9 = w*g. Calculate the remainder when g is divided by n.
2
Let n(y) = -8*y + 2. Let z = -12 + 30. Suppose z = -2*m + 2*p, -4 = -5*p + 21. What is the remainder when n(m) is divided by 9?
7
Let z be (-423)/(-4)*(-4 + 8). Suppose z = 5*v + 78. Calculate the remainder when v is divided by 24.
21
Suppose -i = c - 0*i - 11, 5 = 5*i. Calculate the remainder when 99 is divided by c.
9
Let k(v) = -v**3 + 4*v**2 - 5*v + 2. Let x be k(3). Let g = -5 - 4. What is the remainder when g/((-2)/x*-2) is divided by 3?
0
Suppose -y = -41 + 18. What is the remainder when 30 is divided by y?
7
Suppose 4*g - 2 - 54 = 0. Let m(c) = -c**3 - c**2 + 40. What is the remainder when m(0) is divided by g?
12
Suppose 0 = -3*i + 7*i - c - 60, 4*i - 72 = 4*c. Suppose 0 = t - 0*t - i. Calculate the remainder when 53 is divided by t.
11
Suppose -40 - 14 = -3*o. What is the remainder when o is divided by 7?
4
What is the remainder when 73 + (-8)/((-8)/(-3)) is divided by 24?
22
Let b(j) = -j**3 + 8*j**2 + j - 8. Let w be b(8). Let n = 4 - w. What is the remainder when 2/4 + 138/n is divided by 18?
17
Let x = 5 + -7. What is the remainder when x + 25 - 0/3 is divided by 12?
11
Suppose i - 2*f + 7 = 3, 5*i - 4 = 4*f. Calculate the remainder when 14 is divided by i.
2
Let s(g) = -5*g + 2. Let n be s(-3). Let m = n - 11. What is the remainder when (-144)/(-14) + 16/(-56) is divided by m?
4
Let f = 205 - 35. Calculate the remainder when f is divided by 19.
18
Let m(t) = 4*t + 82. Suppose 23 = -3*h + 2*v, -5*h - 4*v - 29 = -5*v. Let r = 17 - h. What is the remainder when m(-10) is divided by r?
20
Let u(k) = 2*k**2 + 1. Suppose -3*n = -5*r - 6, -2*n - 2 = -3*n - r. Suppose 48 = n*t + t. Calculate the remainder when t is divided by u(2).
7
Suppose 7*p = 303 - 121. What is the remainder when p is divided by 5?
1
Suppose 0 = n - 3*n + 6. What is the remainder when n is divided by 2?
1
Suppose 34 = 3*c + 10. Suppose -5*b + 3*b = -46. Calculate the remainder when b is divided by c.
7
Let f(b) = -b**3 - b**2 + 4*b. Let r be f(-3). Let x be 56/r*(-3)/(-2). Suppose 0 = 5*o - x - 1. Calculate the remainder when 4 is divided by o.
1
Suppose n = -b + 11, -2*n + 7 = -b + 3. Suppose 2*c + 140 = b*c. Calculate the remainder when c is divided by 18.
17
Let r = -5 + 7. Calculate the remainder when (0 - -3) + 0 + 38 is divided by (0 + -1)/(r/(-28)).
13
Let b(t) = t**3 - t**2 + t - 2. Let l be b(2). Suppose -2 = -l*z - 2*p + 10, 2*z - 4 = -2*p. Calculate the remainder when 1*(0 - -1*7) is divided by z.
3
Let j = 36 + 2. Calculate the remainder when j is divided by 125/(-10)*4/(-5).
8
Let t = 38 + -14. What is the remainder when 89 is divided by t?
17
Suppose -3*h = -4*h + 5. Suppose 3*y = -4*b + 1, -3*y + 2 = h*b - 0*y. Calculate the remainder when 2 is divided by b.
0
Let u be ((-6)/9)/(1/(-9)). Suppose u*y + 5 = y, 311 = 5*v + 4*y. Calculate the remainder when v is divided by 16.
15
Let k be 2/9 - (-129)/27. Suppose 2*q = -q + 2*h + 87, -k*q + 5*h + 140 = 0. What is the remainder when q is divided by ((-14)/3 + 1)*-3?
