t x = -62 + 74. Calculate the remainder when 70 is divided by x.
10
Suppose -2*y = -s + 3, -4*s + 5*y = -19 - 2. Let t(z) = z**3 - z + 1. Calculate the remainder when t(3) is divided by s.
7
Let c(i) = i**3 - 5*i - 1. What is the remainder when c(4) is divided by 22?
21
Suppose 4*w - 47 = 3*q, -w - 5*q + 10 - 4 = 0. Calculate the remainder when 18 is divided by w.
7
Let w(r) = -r**3 + 2*r**2 + 2*r - 1. Let s be w(3). Let l(x) = -6*x - 2. Calculate the remainder when l(s) is divided by 8.
6
Let n = -83 - -127. What is the remainder when n is divided by 9?
8
Let s = 48 + -29. What is the remainder when s is divided by 7?
5
Let z(b) = b**2 + b + 1. Let y(w) = 9*w**2 + 2*w + 4. Let v(n) = y(n) - 4*z(n). Calculate the remainder when v(-2) is divided by 9.
6
What is the remainder when 1/(1/(-2)) + (-3720)/(-60) is divided by 21?
18
Suppose -4*r - 40 = -2*w, 0 = -4*w - 4*r + 62 - 18. Calculate the remainder when 53 is divided by w.
11
Suppose 7*k = -6 + 132. What is the remainder when 50 is divided by k?
14
Suppose 17 = 3*b + 2. Suppose -4*v = -3*d - 9, v - 11 = -v - b*d. Let p(y) = -y**3 - 10*y**2 + 12*y + 15. Calculate the remainder when p(-11) is divided by v.
1
Let j = -10 - -16. Let l(m) = 3*m - 14. Calculate the remainder when ((-4)/j)/(6/(-279)) is divided by l(10).
15
Let w = 11 + -8. Suppose b = w*q + 2*q - 23, -9 = -3*q + 3*b. Calculate the remainder when q is divided by 4.
1
Let p = 13 + -9. What is the remainder when p is divided by 3?
1
Let d = -55 - -81. Suppose -s + 3*s = d. Calculate the remainder when s is divided by 4.
1
Let a(b) = 26*b**3 - b**2 - 4*b + 4. What is the remainder when 122 is divided by a(1)?
22
Suppose -11*a + 665 = 181. What is the remainder when 86 is divided by a?
42
Suppose -2*b = -6*l + 5*l - 31, -b - 3*l + 19 = 0. What is the remainder when 30 is divided by b?
14
Suppose 2*b = -3*c + 143, -b + 4*c - 214 = -4*b. Calculate the remainder when b is divided by 24.
22
What is the remainder when 4/((-53)/(-17) - 3) is divided by 12?
10
Let w = 0 - 2. Suppose 2*g = l + 3, 5*l + 3*g + g - 55 = 0. Calculate the remainder when 23 is divided by l/((-14)/(-12)) - w.
7
Calculate the remainder when (4/(-6))/(6/(-180)) is divided by 7.
6
Suppose 0 = 4*f + 4*q + 12, 2*f = 2*q - 4 + 2. Let t(j) = -10*j - 2. Calculate the remainder when 52 is divided by t(f).
16
Calculate the remainder when 28 is divided by 2*(91/28 - 6/8).
3
Let s = -57 + 84. Calculate the remainder when s is divided by 28*(5/12 + (-17)/102).
6
Let y(k) = k**3 - 13*k**2 + 13*k - 8. Let z(g) = 4*g**2 - 2*g + 2. What is the remainder when z(2) is divided by y(12)?
2
Let p = -38 - -58. Let i = 44 - p. What is the remainder when i is divided by 9?
6
Let c = 16 - 10. Let y = 2 - -8. Suppose -4*t + y + 30 = 0. What is the remainder when t is divided by c?
4
Let k(m) be the first derivative of m**2/2 + m - 1. Calculate the remainder when 9 is divided by k(4).
4
Suppose -1 = -2*b + 3. Let q(g) = 2*g**2 - 2*g - 2. Suppose 5*j + 4*x = -2, 3*x + 2*x + 19 = 2*j. What is the remainder when q(b) is divided by j?
0
Let j be (-368)/3 - (-12)/18. Calculate the remainder when 11 is divided by (-8)/(-36) - j/18.
4
Let h = -1 + 4. Suppose -h*s + 28 - 7 = 0. Calculate the remainder when 25 is divided by s.
4
Let i(j) = -j + 18. Let m = 12 + -3. What is the remainder when i(m) is divided by 4?
1
Let j = 19 + -9. Let g = -11 - -15. Suppose 0 = g*m - 113 - 43. Calculate the remainder when m is divided by j.
9
Let d = -12 - -10. What is the remainder when 48 is divided by d - 3/(3/(-19))?
14
Suppose 0 = 2*w - w - 2. Let k(z) = -z**2 + 3*z - 1. What is the remainder when 1 is divided by k(w)?
0
Suppose 4*q - 2*m = 3*m + 13, 5*q = m + 11. Let h be 7/(-5) + q/5. What is the remainder when h + 18 - 0/(-1) is divided by 6?
5
Suppose -3*h + 32 = -10. Let v be 33/(-2) + (-1)/2. Let p = v + 44. Calculate the remainder when p is divided by h.
13
Suppose 0*t - 48 = -4*t. Calculate the remainder when t is divided by 4.
0
Suppose -5*s + 219 - 4 = 0. Calculate the remainder when s is divided by 16.
11
Let f(u) = 3*u**2 + 4*u - 18. What is the remainder when f(4) is divided by 8?
6
Let t(v) = -7*v - 2. Let y(q) = 5*q - 2. Let c(l) = -4*l + 2. Let a(u) = 6*c(u) + 5*y(u). What is the remainder when t(-5) is divided by a(7)?
6
What is the remainder when 183/15 - (-12)/15 - 2 is divided by 8?
3
Suppose 22 + 2 = f. What is the remainder when 69 is divided by f?
21
Suppose 5*r - 19 - 10 = -d, -4*r - 4*d + 36 = 0. Let x(p) = 19*p**2 - r*p**2 + 3*p - 4*p. Calculate the remainder when 29 is divided by x(-1).
14
Suppose 4*j + 0 = -4. Suppose -3*q - 16 = 2*o, -4*q - 3*o - 23 = -0*o. What is the remainder when 32 is divided by j + q*3*-2?
10
Let c be 0*((-9)/6 - -2). Let x = 17 - c. What is the remainder when x is divided by 5?
2
Suppose q + 95 = 6*q. What is the remainder when 55 is divided by q?
17
Suppose c - 75 = -2*c. Suppose 4*j = 5*m - 10*m - 50, 5*m = -3*j - 50. What is the remainder when c is divided by (-1 - -27)*(-5)/m?
12
Let q(s) be the first derivative of -s**3/3 - 3*s**2 + 3*s + 4. What is the remainder when 4 is divided by q(-6)?
1
What is the remainder when 106/((48/(-32))/((-3)/4)) is divided by (-1 - 50/6)*-3?
25
Suppose -8 = -k - 3*q, 0*k - 2*q - 91 = -5*k. What is the remainder when k is divided by 1 - (-1 + 16/(-2))?
7
Let w = 6 + -11. Let x = w - -2. What is the remainder when 53 is divided by 42/4*(-4)/x?
11
Suppose -i = -42 + 4. What is the remainder when i is divided by 14?
10
Let k be (-2)/(-3)*15*1. Suppose -347 - 165 = -4*c. Calculate the remainder when 24 is divided by 5/25 + c/k.
11
Let d(g) = 0*g - 2*g - 3*g - 9. Let y be (-6)/4 - 15/2. Calculate the remainder when d(y) is divided by 13.
10
Suppose 1 + 9 = -5*k. Let a = -8 - k. Calculate the remainder when (-116)/(-12) - (-4)/a is divided by 5.
4
Let x(b) = b**2 + 2*b - 5. Let s be x(-4). Suppose 0 = -2*v - s*i - 6, 4*i - 3*i = 4*v - 16. What is the remainder when 7 is divided by v?
1
Calculate the remainder when 103 is divided by (-184)/(-7) + (-12)/42.
25
Suppose -5*w + 14 = -96. Calculate the remainder when 63 is divided by w.
19
Suppose -8 = 5*s + 12. Let r be 2/(-4)*s*8. Suppose -3*y + 83 = -r. What is the remainder when y is divided by 12?
9
Let i = -74 + 125. Suppose 3*t = -4*p + 77, 6*p - p = 4*t - i. What is the remainder when t is divided by 11?
8
Let m = 49 + -44. Calculate the remainder when 5 is divided by m.
0
Let y(w) = w**2 + 5*w + 1. Let p be y(-5). Suppose -p = -5*f + 4. Let h = -9 - -10. Calculate the remainder when h is divided by f.
0
Suppose 7 = -r + 5*z - 9, -8 = -2*r + 2*z. Calculate the remainder when 42 is divided by r.
6
Let j(y) = -y - 4. What is the remainder when 15 is divided by j(-12)?
7
Let u(m) be the third derivative of 13*m**5/60 - m**3/6 + 5*m**2. What is the remainder when u(-1) is divided by 5?
2
What is the remainder when (-5)/(-1) - (-149)/1 is divided by 39?
37
Let m(d) = 2*d + 15 + d - 6*d + 2*d. What is the remainder when (-2)/8 + (-90)/(-8) is divided by m(11)?
3
Let g(y) = y**2 + 6*y + 7. Let v be g(-5). Calculate the remainder when 11 is divided by (26 - -1)/3 - v.
4
Let m = 3 - 0. Suppose -37 = -5*w + 4*v, -16 = -5*w + m*v + 18. What is the remainder when 17 - (-2 - -1)*1 is divided by w?
3
Calculate the remainder when 105 is divided by 3/2*(6 + 18).
33
Let t(b) = b**2 + 10*b - 7. What is the remainder when 15 is divided by t(-11)?
3
Suppose -3*z = -4*v + 17, z + 2 - 1 = -v. Let c(o) = o**2 - 5*o - 4. Let u be c(6). Suppose u*s = -v*s + 176. Calculate the remainder when s is divided by 15.
14
Let s(h) = h**3 + 7*h**2 + 5*h - 7. Let t be s(-6). Let m = t + -5. What is the remainder when 24 is divided by (-2)/(3/(117/m))?
11
Calculate the remainder when 179 is divided by (0 - -4) + 60 + -4.
59
Let w(d) = 94*d + 1. Let u be w(1). Suppose 0 = -4*s + 3*g + u - 22, -g = -5*s + 105. Let c = 31 + -19. What is the remainder when s is divided by c?
10
Let u = 9 + -4. Suppose 14 - 65 = -3*w. Calculate the remainder when w is divided by u.
2
Let v be (-4)/(-18) + (-266)/(-18). Suppose 2*b = -2*q - 3*b + 41, -v = -q + 3*b. What is the remainder when 52 is divided by q?
16
Suppose 2*o = -2*u + 8, 3*u + 0*u - 3*o = 0. Let r(x) = -u*x + 1 + 0 + 32*x**2 - 2. Calculate the remainder when r(-1) is