s divided by n.
0
Let c(r) = r**2 - r + 1. Let s(p) = 3*p**3 - 6*p**2 + 5*p - 7. Let n(f) = -6*c(f) - s(f). Calculate the remainder when 4 is divided by n(-1).
1
Let t be (-3 - -1)*3/3. Let w(q) = -q**3 + q**2 - 2. Calculate the remainder when w(t) is divided by 10 + 16/((-12)/3).
4
Let f = -203 + 102. Let j = f - -175. Suppose -r - 41 = -2*h, -98 = -5*h - 0*h + r. Calculate the remainder when j is divided by h.
17
Let j(n) = 3*n**2 - 1. Let g be j(-1). Suppose 16*h - 20 = 6*h. Calculate the remainder when 237/27 - g/(-9) is divided by h.
1
Let m = -2 - -5. Suppose 4*y + 9 = -7, m*x - y = 16. Suppose w - 2*q = 41 + 27, x*w - 3*q = 277. Calculate the remainder when w is divided by 24.
22
Suppose -5*u + 18 + 16 = g, -3*g = -3*u + 6. Let p = -38 + 110. Calculate the remainder when u is divided by 12/p - (-58)/12.
1
Let r(o) = -8*o - 7. Let v = 18 + -7. Suppose 8 = -5*t - 3*j - v, 4*j = -4*t - 12. What is the remainder when 97 is divided by r(t)?
31
Let p = 1 - 21. Calculate the remainder when 134 is divided by (-4)/p*15/9*102.
32
Let q(f) = f**3 - 7*f**2 - 9*f + 4. Let w be q(7). Suppose 7*k = 4*h + 2*k + 132, k = 2*h + 72. Let p = h - w. Calculate the remainder when p is divided by 8.
5
Let y(n) = 7*n**2 + 102*n + 26. Calculate the remainder when 298 is divided by y(-15).
14
Suppose -56*v + 22*v = -6358. Calculate the remainder when v is divided by 88.
11
Let t be ((-24)/10)/(6/(-140)). Suppose -3*z + 5*w = 29, z = -11*w + 16*w - 3. Let m = t + z. What is the remainder when m is divided by 23?
20
Suppose -330 = 14*t - 19*t. Suppose 0 = -5*s - 4*h + 212, -4*s + 4*h = -t - 82. Calculate the remainder when s is divided by 14.
12
Suppose u = v - 70, -50 = -6*v + 5*v + 5*u. What is the remainder when v is divided by 48?
27
Let s = 101 + -69. Let y be (-5 - -9) + 72/2. Let w = 133 - y. Calculate the remainder when w is divided by s.
29
Let f = 17 + 2. Calculate the remainder when f is divided by ((-56)/6)/(-1)*(16 - 261/18).
5
Let d be -42*(2 + -3) - (-22)/22. What is the remainder when (-1 - d)*(8 - 9) is divided by 17?
10
Suppose 132 = 8*g - 140. Calculate the remainder when 439 is divided by g.
31
Let l(q) = -6*q**3 + 2*q**2 - 7*q - 4. What is the remainder when l(-3) is divided by 99?
98
Let c(i) = -4*i**2 + 110. Let o(w) = 28*w. What is the remainder when o(1) is divided by c(5)?
8
Let s(o) = o**3 + 46*o**2 + 86*o + 42. Calculate the remainder when s(-44) is divided by 7.
4
Let r(m) = -3*m - 5. What is the remainder when (-164)/(-2) + (-4)/(-4) is divided by r(-9)?
17
Let o = 4 - -3. Let m = -453 - -457. Calculate the remainder when o is divided by m.
3
Let c = -47 - -101. Suppose -20*d + 76 + 144 = 0. What is the remainder when c is divided by d?
10
Let a = 1 - 1. Suppose -4*r + 28 = -a*r. Let t(u) = -u**3 - 127*u**2 + 658*u - 251. What is the remainder when t(-132) is divided by r?
6
What is the remainder when -2 - (-4)/(-6*7/(-567)) is divided by 8?
4
Let g = 13 - 19. Let f = g - 1. What is the remainder when (-4)/6*3*f is divided by 5?
4
Let u = -55 + 63. Calculate the remainder when 782/u + 6/(-8) is divided by 20.
17
Suppose -31*q + 5089 = 129. What is the remainder when q is divided by 41?
37
Let s(p) = -p + 4. Let h be s(0). Suppose 3*b - 7*b - 12 = -4*k, -2*b - h*k = -12. Suppose 26 = -b*c + 2*c. What is the remainder when c is divided by 5?
3
Let p be (28/8 - 4)*2. Let s = -32 - -56. Let c = s - p. What is the remainder when c is divided by 14?
11
Let h(d) = -14*d + 6. Let r be h(-3). Suppose -r = -4*k - 8. Calculate the remainder when k is divided by 2.
0
Calculate the remainder when (-870)/(-20) + (-5)/10 is divided by 3.
1
Let b be 7*3*(-2)/(-6). Let h = -2 + b. Suppose 2*o - 38 = 3*r, -h*o + 2*r + 81 = -2*r. What is the remainder when 50 is divided by o?
11
Calculate the remainder when 81 is divided by (0 - (0 - 42) - 3)*1.
3
Let t = -3408 - -5612. What is the remainder when t is divided by 21?
20
Let d(l) = -l**3 - 5*l**2 - 5*l - 4. Let m be d(-3). Let c = -41 + 129. Let f = c - m. What is the remainder when f is divided by 32?
31
Suppose 4*i - 18 = 3*k + 5, 0 = 5*k - 4*i + 25. Let h be ((-2 - -2)/k)/(-2). Let m = h + 5. Calculate the remainder when 12 is divided by m.
2
Let i(x) be the first derivative of -x**4/4 + 3*x**3 + 3*x**2 - 13*x - 17. What is the remainder when i(9) is divided by 22?
19
Let g(x) = x**3 + 23*x**2 - 21*x - 95. What is the remainder when g(-23) is divided by 78?
76
Let v(c) = c**3 - 2*c**2 - 7*c + 37. Let y = -3 + 6. What is the remainder when v(4) is divided by 67/y - (-2)/(-6)?
19
Suppose -9*j - 18*j = -3456. Calculate the remainder when 1151 is divided by j.
127
Let r be -3 - (0 + -2 - 2). Let o be (r - (-4)/(-8))*0. Suppose -4*d - 8 = o, -2*y + 6*y - 5*d = 42. Calculate the remainder when 31 is divided by y.
7
Let l be (-1 - 0) + (1 - -12). What is the remainder when (l/(-8))/(5/(-270)) is divided by 28?
25
Suppose 2*p - 2 = -4*t, p + p - 26 = 2*t. Suppose 8*j + 272 = 16*j. Calculate the remainder when j is divided by p.
7
Let j = 23 + -18. Suppose 3*s - 55 = 4*y + y, 0 = -j*y - 25. What is the remainder when 57 is divided by s?
7
Let a = -7 - -14. Suppose -108 = -13*r + 425. What is the remainder when r is divided by a?
6
Let r(p) = 2*p**2 - 3*p + 4. Let s be r(2). Suppose -14 = -o + f, s*o + 3*f + 74 = 11*o. What is the remainder when o is divided by 7?
2
Let g = 17 + -9. Suppose 2*o - 3 = a - 1, -5*o - 4*a - g = 0. Suppose o = -5*n + 39 + 6. Calculate the remainder when 35 is divided by n.
8
Let r be 228/8*6/(-9). Let m = r + 97. What is the remainder when m is divided by 10?
8
Let l = -258 + 427. What is the remainder when l is divided by 17*(-3)/(3/(-2))?
33
Suppose 0 = 5*p - 7 - 8. Suppose 2*x = 5*v + 35, -2*x = -p*x - 2*v + 31. Calculate the remainder when 98 is divided by x.
23
Suppose 2*o + 14 = -3*b, -4*b + 17 - 5 = -5*o. Let m(a) = -a - 1. Let u be m(o). Suppose -u*t = -12 - 0. Calculate the remainder when 5 is divided by t.
1
Let v = 146 - 67. Let k(j) = 21*j**2 - 3*j + 2. Calculate the remainder when v is divided by k(1).
19
Suppose 0*r - 11 = -r. Let b(x) = -20*x - 11. Suppose 2*q - q + 2 = 0. What is the remainder when b(q) is divided by r?
7
Let y(p) = -p**2 - 6*p + 2. Let z be y(-6). Let t be (3/(-3))/(-1) + z. What is the remainder when 2 is divided by 1*(1 + (3 - t))?
0
Suppose 4*y = 10 + 22. Let q(j) = 9*j - 18. What is the remainder when q(y) is divided by 11?
10
Suppose -5*p = -43 + 18, 2*w = 5*p - 35. Calculate the remainder when 135 is divided by -23*w/(-20)*-4.
20
Suppose 2 = 5*c - d, -2*d - 7 = -c - 3. Let q(l) = 3*l + 12. What is the remainder when 45 is divided by q(c)?
9
Let t(u) = -u**2 - 6*u - 4. Let h be t(-2). Let p(v) = 9*v - v**2 + 7*v**2 - h*v**2 - 1 - v**2. What is the remainder when 16 is divided by p(-10)?
7
Let d = 0 - -2. Calculate the remainder when 54 is divided by (-7)/((-8)/12 + d/12).
12
Let b be -21 - (5 + -2)*-1. Let i be (-225)/b*4/5. Suppose 0 = -7*h + 6*h + i. What is the remainder when 39 is divided by h?
9
Suppose 134*z - 146*z = -1860. What is the remainder when z is divided by 13?
12
Let o(d) = -4*d - 17. Let x(t) = -5*t - 18. Let j(f) = -4*o(f) + 3*x(f). Suppose 4*y + 30 = 2. What is the remainder when 18 is divided by j(y)?
4
Let j = -115 - -231. What is the remainder when j is divided by 11?
6
What is the remainder when 161 is divided by 5 + 362/10 - 3/15?
38
Suppose 0 = -5*n - 20, -y + n = 5*n + 13. Let p(t) = -t**3 + 5*t**2 + 3*t - 13. Calculate the remainder when p(4) is divided by y.
0
Let y = -90 - -411. Suppose y = 5*j + 86. Suppose 154*t - 148*t = 144. Calculate the remainder when j is divided by t.
23
Let b(x) = -8*x + 343. What is the remainder when b(28) is divided by 43?
33
Suppose 5*b = 4*d + 482, 3*b + 2*d + 0*d = 298. Let q = b + 35. Calculate the remainder when q is divided by 45.
43
Suppose 2219*k = 2215*k + 696. Let a = 49 - 14. Calculate the remainder when k is divided by a.
34
Calculate the remainder when (552/32)/((-1)/(-4)) is divided by 19.
12
Let u(x) = 3*x**2 - x - 7. Calculate the remainder when 1745 is divided by u(-3).
20
Suppose -10 = 5*n, 0 = -x + 36*n - 35*n + 61. Calculate the remainder when 401 is divided by x.
47
Suppose -2*y + 79 = i, 4*y - 5*i - 162 = -3*i. What is the remainder when 154 is divided by y?
34
