ppose 0 = 5*q - 130 - 85. What is the remainder when q is divided by 9?
7
Suppose 0*n - n = -5*d - 16, 3*n + 4 = 2*d. Let i = n + 6. Suppose j + 10 = -i*y - 2*y, 3*j = -2*y + 20. What is the remainder when 18 is divided by j?
8
Let t be (1/1)/(1/(-11)). Let u = 1 - t. What is the remainder when 46 is divided by u?
10
Suppose -4*c + 2 = -26. Let y(t) be the third derivative of 19*t**6/120 + t**2. What is the remainder when y(1) is divided by c?
5
Suppose 5*u + 88 = 9*u. Suppose 0 = -3*s + 10 + 8. What is the remainder when u is divided by s?
4
Suppose w = -w + 10. Suppose w*z - 224 = 106. Let m = 96 - z. What is the remainder when m is divided by 11?
8
Let x(j) = -j**2 - 7*j - 8. Let s = 0 - -3. Calculate the remainder when s is divided by x(-5).
1
Let k(n) = n**2 + 13*n + 9. Let b be k(-12). Let q = b + 5. Suppose 0 = -2*u + 2 + 4. Calculate the remainder when u is divided by q.
1
Let c(h) = -h**3 - 9*h**2 + 15*h + 22. Suppose 2*x = -2*q + 72, 0*x - 2*q - 64 = -2*x. What is the remainder when c(-11) is divided by x?
31
Suppose 2*r - 102 = -0*r. Let a = -26 + r. Calculate the remainder when 48 is divided by a.
23
Suppose -5*s + 5*r + 30 = 0, -r - 19 = -4*s + 5. Suppose 2*k - 28 = -s. Calculate the remainder when k is divided by 7.
4
What is the remainder when (-1 + (-4)/(-2))*31 is divided by 11?
9
Let f(j) = j - 9. Let h be f(10). Suppose 0 = c + h - 3. Calculate the remainder when 4 is divided by c.
0
Let f be (0 + 4)/((-16)/(-12)). What is the remainder when -3*(1 - 38/6) is divided by 12/(9/f) - -2?
4
Suppose 48 = -k + 159. Suppose -k = -4*t + t. What is the remainder when 145 is divided by t?
34
Let x(j) = 4*j + 1. Suppose 1 - 21 = -5*l. Calculate the remainder when x(2) is divided by l.
1
Let r = -13 + 25. Let p(y) = -y**2 - 13*y + 2. Let g be p(-6). Suppose 3*d - 22 = g. What is the remainder when d is divided by r?
10
Suppose -c - 5 = -2*c - b, -4*b - 8 = 0. Calculate the remainder when c is divided by 2.
1
Suppose -l = l - 2*m - 102, 4*m = -3*l + 181. Let o = l - 20. What is the remainder when o is divided by 12?
11
Suppose 2*b + 9 = 5*b. Suppose -b*s = 6 - 39. Calculate the remainder when (-2)/s - (-1020)/44 is divided by 12.
11
Let d(v) = -v**2 + v + 1. Let x(m) = 4*m**2 - 8*m - 8. Let u(h) = -6*d(h) - x(h). Suppose -2*s = 2*s + 8. Calculate the remainder when 10 is divided by u(s).
4
Let y(x) = x + 7. Let k = 30 - 5. What is the remainder when k is divided by y(7)?
11
Let f be (-1)/(-4) - 13/4. Let u be -12 + -5 + 3 - f. Let w(n) = -6*n - 13. What is the remainder when w(u) is divided by 14?
11
Let r = -291 - -458. Calculate the remainder when r is divided by 34.
31
Suppose 0 = -6*n + n. Suppose 0 = -n*y - 2*y + 66. What is the remainder when y is divided by 12?
9
Suppose -1 = 5*p + 74. Let y = p - -22. Calculate the remainder when 27 is divided by y.
6
Let u = 23 - 11. What is the remainder when (10/10 - -3)/(2/22) is divided by u?
8
Let d = -4 + -16. Let l = -5 + d. Let u = -18 - l. Calculate the remainder when u is divided by 4.
3
Let u = 8 - 6. Let j = 2 + u. Suppose 2*i - 13 = 2*z + 5, -j*i - z = -36. What is the remainder when 25 is divided by i?
7
Let a(x) = 3*x + 4. Suppose p - 2*p = -8. Calculate the remainder when a(p) is divided by 15.
13
Suppose -2*u = u - 12. Suppose -3*w - 5*z + 5 = -3, w - 14 = u*z. What is the remainder when 15 is divided by w?
3
What is the remainder when (-1628)/(-36) - (-2)/(-9) is divided by 12?
9
Suppose -15*m = -11*m - 36. Let f(d) = -2*d**3 - 4*d**2 + 6*d + 2. Calculate the remainder when f(-4) is divided by m.
6
Suppose 5*i = -14 + 134. Suppose 5 = -2*k + 23. What is the remainder when i is divided by k?
6
Let b(k) = -k**3 + 5*k**2 - k + 5. Let i be (-1)/2 - (-66)/12. Let r be b(i). Suppose r*u + 36 = 3*u. What is the remainder when 23 is divided by u?
11
Suppose -x - 18 + 2 = 0. Let t be (-2)/8 + (-148)/x. Suppose -5*s = -t - 16. What is the remainder when s is divided by 2?
1
Suppose -22 = -4*j + 2*j. Calculate the remainder when j is divided by -3 + 3 - 7/(-1).
4
Let v = 216 + -202. Let n(o) = -4*o + 1. Let m = 0 - 1. What is the remainder when v is divided by n(m)?
4
Let r be (80/(-3))/((-3)/9). Suppose -3*p + r = -52. Suppose -2*j - 5*h = -46, -h + 21 = 2*j - 25. What is the remainder when p is divided by j?
21
Suppose 4*u - 16 = 0, 0*u + u = -3*f - 2. Let w = f - -18. Suppose -r = -3 - w. What is the remainder when r is divided by 10?
9
Suppose -21 + 8 = w. Suppose 2*l - 22 = 3*f + 2, 4*l - 2*f = 64. What is the remainder when l is divided by 1*-2 - (1 + w)?
8
Let m = 7 - 5. Suppose m*d + 34 = 2*j, -29 = 3*j - 4*j - 5*d. Suppose 0 = -4*t - 3*b + 55, 2*b - 58 + 18 = -3*t. What is the remainder when j is divided by t?
9
Suppose z + 2*x + 190 = 6*z, -z = -4*x - 56. What is the remainder when z is divided by 13?
10
Let u = 9 - 7. Suppose 0 = 5*y - v - 121, 0*v - 47 = -u*y - v. Suppose -74 = -a - y. What is the remainder when a is divided by 17?
16
Suppose 90 = 3*q - 5*f, 13 + 2 = -5*f. What is the remainder when q is divided by 16?
9
Let g(l) = -l**3 + 10*l**2 - 2*l - 3. Calculate the remainder when g(9) is divided by 16.
12
Let v = 2 - 8. Calculate the remainder when 261/v*8/(-12) is divided by 15.
14
Let a = 7 - -4. Let k = a - 9. Calculate the remainder when (-6)/(-2) - 1 - -3 is divided by k.
1
Let u(x) = 3*x - 3. Let s be u(2). Suppose 44 - 11 = s*k. Let l(r) = -5*r + 7. Calculate the remainder when l(-7) is divided by k.
9
Suppose 0 = -5*y + 3*b + 292, -2*b = y + 3*y - 238. Calculate the remainder when 114 is divided by y.
55
Suppose -23 = -3*g + 13. What is the remainder when 108/5 - (-2)/5 is divided by g?
10
Let f(t) = 19*t + 4. Let g = -148 + 164. What is the remainder when f(3) is divided by g?
13
Let z(p) = p**3 - 3*p**2 + p - 4. Let h be z(3). Let m(n) = -24*n**3 + n**2 - n - 1. Let o be m(h). Calculate the remainder when (-10)/o + 12/5 is divided by 2.
0
Suppose -3*f + 133 + 18 = 2*v, 2*v + 257 = 5*f. What is the remainder when f is divided by 18?
15
Suppose 4 = 2*u + 3*b, -b - 24 = -2*u + b. Let m = -73 + 87. What is the remainder when m is divided by u?
6
Let u be (-3 + 6 - 3) + 0. Suppose 4*z - 48 - 28 = u. Let r = -9 + 19. What is the remainder when z is divided by r?
9
Calculate the remainder when 229 is divided by 27 + (-30)/(-5) + -4.
26
Calculate the remainder when -65*(-4)/(-10)*-1 is divided by (-21 - 0)/((-3)/2).
12
Suppose -4*i + 75 + 61 = 0. Let m = 3 - 15. Let k(z) = z**3 + 12*z**2 - 3*z - 18. Calculate the remainder when i is divided by k(m).
16
Let m be 99/21 + 4/14. Suppose -3*z + 5*f = -21, -31 = -m*z - f + 4. What is the remainder when z is divided by (0 - -6) + (-5 - -3)?
3
Let k = 8 - 4. Let b be 15/9 + k/(-6). What is the remainder when (-1 - (1 + -16))/b is divided by 5?
4
Suppose 2 = -p + 7. Let a = 145 - 84. Suppose -4*l - g + 47 = 0, p*l + 0*l - a = -2*g. What is the remainder when 32 is divided by l?
10
Suppose 4*g - i - 67 = -2*i, 3*i = -3. Calculate the remainder when 30 is divided by g.
13
Suppose 5 = 4*m - m + 5*l, 0 = 4*l - 4. Suppose m*z - 104 = -4*z. What is the remainder when z is divided by 9?
8
Suppose d + 0*k + 3*k = 18, 0 = 4*d + 2*k - 42. Calculate the remainder when -2 - 11/(22/(-52)) is divided by d.
6
Let x = 37 - 20. Calculate the remainder when 33 is divided by x.
16
Suppose 3*l = -30 + 99. What is the remainder when 113 is divided by l?
21
Let h(u) = u + 12. Let i be 39 - 0/((-4)/2). Suppose -3*g = -27 - i. Calculate the remainder when g is divided by h(0).
10
Let p = -24 - -11. Let m = 18 + p. Suppose 3*k + 4*n - 31 = 49, -m*k + 3*n = -85. What is the remainder when k is divided by 11?
9
Suppose -7*d + 3*d + 16 = 0. Suppose d*p = -p + 270. Suppose -5*c + 74 = b, -c + 15 = b - 3. Calculate the remainder when p is divided by c.
12
Let g be 427/(1 - 2 - 0). Calculate the remainder when 23 is divided by 2/(-10) - g/35.
11
Suppose -3*y = -3*r - 162, 0 = 3*r + r + 16. Suppose -4*h = -2*g - y, -h - g = g - 5. Calculate the remainder when 20 is divided by h.
9
Let n = -2 - -6. Suppose -n = 3*w - 5*w. Suppose -3*c = -3 + 12, 4*o = -5*c - 11. What is the remainder when w is divided by o?
0
Suppose -2*r = -4*u + 458, r + 2 = -r. What is the remainder when u is divided by 29?
27
Suppose -35 = -3*y - 3*s + 4*s, -20 = 4*s. What is the rema