 + 1 = -4*z + 4*o, o - 13 = -3*z. Calculate the remainder when (30/(-25))/(3/(-15)) is divided by z.
2
Let i(o) = 12*o**2 - 2*o - 1. Suppose -a + 2 = -0*a. Suppose k - a = -0*k. What is the remainder when i(k) is divided by 15?
13
Let b = -9 + 18. Suppose -171 = -2*g - 33. Suppose -4*d - 1 = -g. Calculate the remainder when d is divided by b.
8
Calculate the remainder when (-2 + (-40)/(-15))*3 is divided by 1.
0
Let r(w) be the first derivative of w**4/4 - 2*w**3 - 3*w**2 + 6*w - 5. What is the remainder when 36 is divided by r(7)?
10
Let x = -6 + -19. Let t = -6 - x. Calculate the remainder when t is divided by 5.
4
Suppose 3*q - 30 = 2*q. Calculate the remainder when q is divided by 8.
6
Let i(v) be the first derivative of 14*v**3 + v**2 - v + 2. Suppose -81 = 2*w - 7*w + 3*g, 3*g + 6 = 0. Calculate the remainder when i(1) is divided by w.
13
Let o(a) = 14*a + 3. Let v be o(6). Suppose -2*j + v = j. What is the remainder when 56 is divided by j?
27
Let t(s) = s**2 - 6*s - 19. What is the remainder when t(-8) is divided by 32?
29
Suppose -3*x - 2 = -4*x. Suppose -n = 5*p - 106, 4*n = -0*p + x*p - 60. What is the remainder when p is divided by 6/4*6 + 3?
10
Suppose -4*h + 56 = 3*h. What is the remainder when h is divided by 4?
0
Suppose -20 = -2*v - 4. Suppose -q + 0*q - 5*t = v, -3*t - 44 = -5*q. Let r = 33 + -13. What is the remainder when r is divided by q?
6
Let g = -7 - -6. Let a be -2 + (1 + g - -10). Suppose 5*x - 3*w = 43, -x + 3*w + 3 = -a. Calculate the remainder when x is divided by 3.
2
Suppose h = 2*z - 2*h - 21, -2*h = -2*z + 18. Calculate the remainder when 9 is divided by z.
3
Suppose 2*x + 30 = 2*y, -4*x = y + 3*y - 36. Let o = -4 + y. What is the remainder when (-4)/(-6)*(15 - -18) is divided by o?
6
Let n(j) = -j**3 - 15*j**2 + 4. Let z be n(-15). Suppose -k + z = k. What is the remainder when 5 is divided by k?
1
Let p(d) = 4*d**2 + 3*d + 3. What is the remainder when p(-2) is divided by 4?
1
Suppose -65 = -4*c - 5*p, -3*c - 2*p = -13 - 27. Calculate the remainder when 18 is divided by c.
8
Let g = -31 + 14. Let o = 39 + g. What is the remainder when 43 is divided by o?
21
Let m(k) = -k**3 + 3*k**2 - 3*k + 1. Let n be m(2). Let q be 3/(-2 + n) + 86. Suppose 7*a - q = 2*a. What is the remainder when 33 is divided by a?
16
Suppose v - 17 = -r, -3*v = -r - 3*r - 16. Calculate the remainder when 47 is divided by v.
11
Let z be -1 + (4 - 2) + 1. Suppose -92 = -2*d - z*d. Calculate the remainder when 67 is divided by d.
21
Let q(w) = -w**2 - 2*w + 3. Let v be q(3). What is the remainder when v/(-66) - 284/(-11) is divided by 14?
12
What is the remainder when 5/((-2)/(10/(-1))) is divided by 9?
7
Suppose -3*c - 9 = -36. What is the remainder when -1 + 1 + -1 + c is divided by 5?
3
Suppose c + 5 = 0, -w - c + 155 = 3*w. Let m(r) = -2*r**2 - 3*r**2 + 6*r**2 + 14. What is the remainder when w is divided by m(0)?
12
Suppose -22 - 20 = -3*z. Suppose -2*k + 38 = -14. Let n = k - -1. Calculate the remainder when n is divided by z.
13
Let c(y) = -y + 7. Let t(w) = 4*w + 2. Let r be t(-2). Let x be (0 - -2)*r/(-2). What is the remainder when c(x) is divided by 1?
0
Suppose s + 2*a - 94 = -3*s, -4*a = -2*s + 32. What is the remainder when s is divided by 9?
4
Suppose -x + 4 = -0*x. Suppose x*k + 0*k + 5*o = 90, 2*o = -2*k + 44. Calculate the remainder when 78 is divided by k.
18
Let n(p) = 3*p**2 + 2*p. Let r be n(-2). Let m = 19 - r. Calculate the remainder when ((-64)/(-6))/((-7)/(-21)) is divided by m.
10
Let l = -3 - -6. Let c be 12*((-2)/(-1))/2. Let z = 17 - c. What is the remainder when z is divided by l?
2
Suppose 8 = 5*u - 2. Suppose -u*z + 7*z + 218 = 2*s, -4*z = -5*s + 579. Calculate the remainder when s is divided by 30.
29
Let n(u) = u + 18. Let b be n(-15). Let c(y) = y**2 + 5*y - 10. What is the remainder when c(-7) is divided by (-1 - 5/(-3))*b?
0
Let w(c) = -c + 13. Suppose -d - 2*h = 8, 2*h + h + 12 = -3*d. What is the remainder when w(d) is divided by 7?
6
What is the remainder when (-12 - -14)/((-2)/(-5)) is divided by 2?
1
Suppose 5*c - 11 = 2*t + 39, 28 = c - 4*t. Calculate the remainder when c is divided by 0 - 6/(-4)*2.
2
Let v(s) = -28*s + 2. Let g be v(2). Let q = g - -33. Let i = 34 + q. What is the remainder when 49 is divided by i?
10
Let j(z) = 4*z**2 + 8*z + 9. Let q(t) = t**3 + 11*t**2 - 5. Let y be q(-11). What is the remainder when j(y) is divided by 18?
15
Let o = 84 + 101. Suppose 0 = -5*z + o. Suppose -9*k = -6*k - 3*y - 27, -3*k + 35 = -y. What is the remainder when z is divided by k?
11
Suppose 0 = 4*b + 14 - 86. What is the remainder when 52 is divided by b?
16
Let j(l) = 14*l**2 + 1. Let u be j(2). Suppose -5*c + 138 = -u. Calculate the remainder when c is divided by 14.
11
What is the remainder when (0 + -48)*4/(-6) is divided by (-10)/(0 - 1) - -1?
10
Let h(g) be the second derivative of -11/6*g**3 + 0 + 2*g - 3/2*g**2. Calculate the remainder when 54 is divided by h(-2).
16
Suppose -98 + 158 = 5*u. Calculate the remainder when u is divided by 5.
2
Let k(h) = h**3 + 2*h**2 - 4*h + 3. Suppose 4*n = 56 + 24. Calculate the remainder when n is divided by k(2).
9
What is the remainder when 4/26 + 76/13 is divided by 2?
0
Let o(t) = 2*t**2 + 13*t + 8. What is the remainder when 62 is divided by o(-8)?
30
Let p(c) = -8*c - 4. Let k = -135 + 158. Calculate the remainder when p(-6) is divided by k.
21
Let m(o) = -3*o**3 - 3*o**2 + o + 4. What is the remainder when m(-2) is divided by 9?
5
Let o(r) = -r - 6. Let m be o(-9). Let p be 28/(-3)*m/(-2). Calculate the remainder when 2/(-7) - (-102)/p is divided by 3.
1
Let p = 0 + 4. Suppose p*t + 3*f = 27 - 6, -3*f - 27 = -4*t. Let o = t + -5. Calculate the remainder when 1 is divided by o.
0
What is the remainder when -1 - (-44 - 1)/3 is divided by 4?
2
Let x(t) = -28*t - 151. Suppose -13 + 3 = -2*j. Suppose j*f = 252 - 92. Calculate the remainder when f is divided by x(-6).
15
Suppose i - 6*i + 20 = 0. Let y(g) = g**3 - 2*g**2 - 7*g + 6. Calculate the remainder when y(4) is divided by i.
2
Calculate the remainder when 4/(-6)*-12 - 0 is divided by 6.
2
Suppose -2*o + 4 + 8 = 0. Let p(a) = -2 - a + 11 - 2 + 5. What is the remainder when p(-10) is divided by o?
4
Let x(i) = i - 8. What is the remainder when x(11) is divided by 3?
0
Let l = -13 + 17. Calculate the remainder when 7 is divided by l.
3
Let i = -2 - -22. Suppose 0 = 4*s + s - i. Suppose -13 - 31 = -s*g. What is the remainder when 31 is divided by g?
9
Suppose 0 = v + 5*f - 30, v - 18 - 12 = 3*f. Suppose -v = -5*l + 2*l. Calculate the remainder when l is divided by -5*(-1)/((-15)/(-18)).
4
Let c(m) be the second derivative of -5*m**3/3 - m**2/2 - 2*m. What is the remainder when 285/18 + (-1)/(-6) is divided by c(-1)?
7
Let p = -16 - -33. Let a(c) = 3*c**2 + 0*c**2 - 15*c + 22 - 4*c**2. Calculate the remainder when p is divided by a(-16).
5
Let c(f) = -64*f**3 - 3*f**2 - 2*f. What is the remainder when c(-1) is divided by 13?
11
Let o(x) = x**3 - 3*x**2 - 5*x. Let s be o(4). Let p = s - -5. What is the remainder when 2 is divided by p?
0
Let d(n) = -n + 9. Let r be d(4). Suppose -5*w = 4*k - 94, -2*k = -r*w + 3*k + 130. What is the remainder when w is divided by 5?
2
Suppose 0 = -4*n - 5*w + 286 + 2, -3*w = 4*n - 280. Calculate the remainder when n is divided by 17.
16
Suppose 5*d + 3*n + 104 - 292 = 0, -2*n = 4*d - 152. What is the remainder when 117 is divided by d?
37
Suppose 20 = -4*k, -43 = 3*m - 4*m + 2*k. Let o = 293 - 164. Calculate the remainder when o is divided by m.
30
Let v = 92 - 9. What is the remainder when v is divided by 17?
15
Let g = 22 + -12. What is the remainder when g is divided by ((-15)/6 - -3)*6?
1
Let m = -16 - -53. Suppose -j = -2*s - 11, 0*j + 4*s - 54 = -2*j. What is the remainder when m is divided by j?
18
Suppose -k = 3*k - 228. Suppose 3*w = -5 + 65. Calculate the remainder when k is divided by w.
17
Let r(g) = -2 - 5*g - 4*g**2 - 2*g**2 + 2*g**2. Let f be r(-3). Let y = 35 + f. What is the remainder when 22 is divided by y?
10
Let j = -59 + 18. Let g = -16 - j. Calculate the remainder when g is divided by 9.
7
Suppose 0 = -3*h + 3*z + 2*z + 33, 4*z = -2*h + 44. What is the remainder when 45 is divided by h?
13
Calculate the remainder when 2/3*33/1 is divided by 3/2