ppose 0 = -5*z - 3*f + 42, -i*z + f + 5 + 9 = 0. What is the remainder when z is divided by 4?
2
Suppose s + 4 = 3*p + 47, 3*s + 5*p = 129. Calculate the remainder when 85 is divided by s.
42
Suppose -14 = -i - 0*i. Let w = -6 - -47. What is the remainder when w is divided by i?
13
Let z = 35 + -21. Suppose 0*f - 2*f - 16 = 0. Let r = f + 13. What is the remainder when z is divided by r?
4
Let a(u) be the first derivative of 6*u**2 - u + 3. Calculate the remainder when a(3) is divided by 12.
11
Let g = 29 + -14. Calculate the remainder when 26 is divided by g.
11
Let r(d) = 4*d + 4. Suppose 4*m - t - 33 - 2 = 0, 0 = 5*m - 5*t - 40. Calculate the remainder when r(5) is divided by m.
6
Suppose -4*k = -0*k - 80. Let r = 328 + -460. Let i = 190 + r. What is the remainder when i is divided by k?
18
Let a(m) = m**3 + 8*m**2 + 10*m + 6. Calculate the remainder when a(-6) is divided by (0/(-4) + 1)*10.
8
Let i be (-5)/5*(2 + -1). What is the remainder when (-7)/14*(-43 + i) is divided by 8?
6
Suppose 0 + 10 = 2*x. Calculate the remainder when 7 is divided by x.
2
Let r = 41 + -10. Suppose -2 = -3*o - 2*l + r, 11 = o - 3*l. Calculate the remainder when o is divided by 6.
5
Suppose -d - 2 = u, -5*u = -5*d + 25 + 15. Calculate the remainder when 10 is divided by d.
1
Let v(m) = 4*m - 15. Calculate the remainder when v(6) is divided by 7 - 3 - (2 - 3).
4
Suppose 11*u - 59 - 29 = 0. Calculate the remainder when 14 is divided by u.
6
Let s(h) = 1 + 0 + 473*h - h**3 - 474*h. Let q = -6 + 4. Calculate the remainder when s(q) is divided by 3.
2
Let k(i) = -i + 12. Let w = -17 + 26. Calculate the remainder when w is divided by k(6).
3
What is the remainder when 71 is divided by 28 + ((-9)/3)/3?
17
Suppose -3*a + 39 = -12. Calculate the remainder when a is divided by (-3)/(-9) + -34*3/(-18).
5
Let w(x) = -x**2 - 10*x - 2. Let n = -7 + 3. Calculate the remainder when w(n) is divided by 12.
10
Suppose -2*c - s = -7*c + 66, -5*c = s - 74. Let q = c - 8. Suppose 2*f - 3*f = -10. Calculate the remainder when f is divided by q.
4
Suppose -3*v = -4*h - 2*v + 17, 5*h = 2*v + 19. Suppose 2*m - h*u - 105 = -0*m, 3*u = -3*m + 147. What is the remainder when m is divided by 13?
11
Suppose 4*t = 2*t. Let l be (t - 42/9)*-6. Let h = l + -19. What is the remainder when 16 is divided by h?
7
Suppose 0 = 4*l + 2*v + 2*v - 80, -2*l = 4*v - 48. Calculate the remainder when 63 is divided by l.
15
Let h = 16 - 9. Let y = 134 + -121. What is the remainder when y is divided by h?
6
Let r(n) = 2*n**2 + 2*n - 5. Let o be 0 + -4 + -1 - -1. What is the remainder when r(o) is divided by 7?
5
Let f(w) = -w**3 - 11*w**2 - 12*w - 9. Let i = -19 + 31. Suppose 4*c = -i - 28. What is the remainder when 30 is divided by f(c)?
8
What is the remainder when 590/6 + (-5)/15 is divided by 25?
23
Suppose -31 + 1 = -2*b. Suppose 2*o + o = 129. Calculate the remainder when o is divided by b.
13
Suppose -u = 2*u - 114. Let s = u + 36. Calculate the remainder when s is divided by 19.
17
Let j(r) = 2*r + 7. Calculate the remainder when 90 is divided by j(8).
21
Suppose -o - 5*u + 45 = 3*o, -4*u = o - 25. Suppose p = -o*c + 18 + 3, 81 = 3*p - 3*c. Calculate the remainder when 76 is divided by p.
24
Suppose -3*j + 1 = -86. Calculate the remainder when j is divided by 16.
13
Let u be 1 + 2 - (2 - 3). Let t be u/(-18) - (-94)/18. Suppose -k + 2*p - t*p = 12, 0 = 2*k + p - 1. Calculate the remainder when k is divided by 2.
1
Let f = -72 - -111. Let l = -19 + 2. Let j = f + l. What is the remainder when j is divided by 12?
10
Calculate the remainder when 4/(-10) - (-1266)/15 is divided by 23.
15
Let d(y) be the third derivative of y**4/8 - y**3/2 + 2*y**2. Let f = -8 + 12. What is the remainder when d(3) is divided by f?
2
What is the remainder when 45 is divided by (4 + -5)/(3/(-36))?
9
Suppose -2*s + 68 = -2*k, 0*s - 3*s = -2*k - 99. Suppose -4 - s = -x. What is the remainder when x is divided by 18?
17
Let z(d) = -d - 1. Let m be 3/(-12) - (-50)/8. Suppose 4*q - 106 = -5*y + m*q, -4*y = -q - 86. Calculate the remainder when y is divided by z(-9).
6
Let d(f) = 6*f**2 + f + 15. What is the remainder when d(-4) is divided by 22?
19
Suppose -o + 1 = -10. What is the remainder when 20 is divided by o?
9
Let j be (-3 + 0)*(-1)/(-3). Let u = 5 + j. Suppose -2*t + 3 + 2 = b, 4 = u*t. What is the remainder when b is divided by 3?
0
Suppose 2*h - 4*f - 120 = 0, -3*h + 311 = 2*h + f. Suppose -8 = -2*v - 4, -3*b = 3*v - 54. What is the remainder when h is divided by b?
14
Let c(h) = -h**2 - 4*h + 7. Let i be c(-5). Suppose 3*x + 5*j = 112, i*x + 2*x = j + 134. Calculate the remainder when x is divided by 12.
10
Let f be 3 + 9/(-6)*-10. Let y(s) = s**2 + 7*s + 3. Let h be y(-8). Let t = f - h. Calculate the remainder when t is divided by 3.
1
Let w(h) = 2*h**2 - 9*h. Let q be w(5). Suppose -y = -q*n + 119, 4*y - 28 = -4*n + 3*n. Calculate the remainder when n is divided by 13.
11
Let r = -180 + 269. Calculate the remainder when r is divided by 159/7 - (-4)/14.
20
Let d(p) = -2*p**3 - 4*p**2 - p + 2. Let f be d(-2). Calculate the remainder when ((-58)/(-8) + -2)*f is divided by ((-2)/(-4))/(9/198).
10
Let o be (-25)/35 + 6/(-21). Calculate the remainder when (-12)/o*5/2 is divided by 11.
8
Suppose 73 = 5*m + 4*p, -m - 4*p + 1 = -4. Calculate the remainder when m is divided by 10.
7
What is the remainder when -5 + 12 + 0/3 is divided by 0 - (-3 + 1/1)?
1
Suppose 5*g - 19 = 1. Calculate the remainder when 7 is divided by g.
3
Suppose 5*i - 60 = 4*i + 2*s, 2*i - s = 132. Calculate the remainder when i is divided by 18.
14
Let j = 68 + -39. Let n be (-2 + 0)/2 - -25. Let f = -14 + n. What is the remainder when j is divided by f?
9
Let i(v) = v**3 - 10*v**2 + 3. Let u be i(10). Suppose -u*o + 8*o = 360. Let k = -47 + o. Calculate the remainder when k is divided by 9.
7
Let v(z) = z**2 - 19*z + 40. Calculate the remainder when v(18) is divided by 6.
4
Suppose 2*z = 7 + 11. Suppose -3*g + 153 = -63. Suppose 5*c + 2*r = g, 2*r - 64 = -3*c + 6*r. What is the remainder when c is divided by z?
7
Let j(s) = -s**2 - 14*s + 6. Let t be j(-14). Suppose 4*n - t*n = -18. What is the remainder when 17 is divided by n?
8
Let p = 40 - 28. Let h = -1 + 1. Suppose h*b + 2*j + 175 = 5*b, -10 = 2*j. What is the remainder when b is divided by p?
9
Calculate the remainder when 40 is divided by 3/(((-12)/(-56))/1).
12
What is the remainder when 492/15*-1*(-15)/6 is divided by 26?
4
Suppose 0*a = -5*z + 5*a + 20, 2 = z + a. Let u(p) = -p**2 + 12*p - 9. Calculate the remainder when z is divided by u(11).
1
Let v = 73 - 44. Suppose 11 - v = -3*j. Calculate the remainder when 24 is divided by (-9)/j*2*-3.
6
Let r(y) = 2*y**3 - 2*y**2 + y + 2. Let i be r(2). Let x = i - 1. Calculate the remainder when x is divided by 7.
4
What is the remainder when 690/14 - (-20)/(-70) is divided by 25?
24
Let g(t) = -t**3 + 2*t**2 - 4*t + 2. Let q be g(2). Let v = q - -8. Suppose -2 = -v*h + 14. What is the remainder when 22 is divided by h?
6
Let x = 21 - -66. Calculate the remainder when x is divided by 22.
21
Let y = -76 + 108. Calculate the remainder when y is divided by 17.
15
Suppose 0 = 4*a - 2*y - 6 + 4, 0 = -a - 4*y + 14. Let f(o) = o**2 + 2*o - 1. What is the remainder when a is divided by f(1)?
0
Calculate the remainder when 104 is divided by 208/6 - 1/(-3).
34
Let l(c) = c - 2. Let s be l(6). Suppose -108 = v - s*v. What is the remainder when v is divided by 13?
10
Let o = -48 - -61. Let f = -4 - -9. Let m(q) = q. What is the remainder when o is divided by m(f)?
3
Suppose 118 = -5*a - 92. Let g = 33 - -41. Let x = a + g. Calculate the remainder when x is divided by 11.
10
Let i be (-2)/4*12/(-3). Let l(s) = -s**3 + 9*s**2 - 2*s - 15. What is the remainder when l(8) is divided by (1 + 1)*17/i?
16
Let n be 3*3/((-27)/6). Let h = 19 + n. Calculate the remainder when h is divided by 10.
7
Let n(w) = w**3 - 4*w**2 + 5*w + 1. Let j(q) = q**2. Let g(c) = -j(c) + n(c). Calculate the remainder when g(5) is divided by 14.
12
Suppose 0 = 3*v + 6, 3*b - 17 = -5*v + 3*v. Calculate the remainder when b is divided by 5.
2
Let g = 4 - 6. Let v(u) = -17*u. Let n be v(g). Suppose 0 = -4*i + 3*b + n, 0*b + 2*b = -4. What is the remainder when 12 is divided by i?
5
Let t(h)