e remainder when p is divided by 21?
19
Suppose 0 = -17*n + 2071 + 1958. Calculate the remainder when n is divided by 84.
69
Let l = 911 - 172. Calculate the remainder when l is divided by 37.
36
Suppose -y + 30 = -3*y. Let o = 25 + y. What is the remainder when (29/(-2))/(3/(-6)) is divided by o?
9
Let y be (3/(21/(-2)))/(3/(-21)). What is the remainder when 32 is divided by 2 + (15 - 0) + 0/y?
15
Let w = 58 + -56. Suppose 6*y - w*y = 100. What is the remainder when 66 is divided by y?
16
What is the remainder when 46 is divided by -30*(15/(-10) + (1 - 0))?
1
Calculate the remainder when 534 is divided by 3*((-12)/102 - (-2290)/102).
65
Suppose 0 = 3*u - r - 12, 5*u - 3*u - 8 = -r. Suppose -4*i + 34 = -3*q - 33, -u*i = q - 79. What is the remainder when i is divided by 11?
8
Let a be (3 + -8)/((-1)/14). Suppose 2*k + 80 = 3*b + 2*b, 5*b - 4*k - a = 0. Calculate the remainder when 50 is divided by b.
14
Let k(u) be the first derivative of u**2 - u + 4/3*u**3 - 2. What is the remainder when 19 is divided by k(1)?
4
Let w = -6 + 8. Suppose 1 = w*m + i + 2*i, 3*m + 2*i - 4 = 0. Suppose -134 = -5*q + 2*t, 4*t = -0*q + m*q - 44. What is the remainder when 55 is divided by q?
27
Let n = 5 - -3. Let y(v) = 15*v - 33. Let q(s) = 13*s - 32. Let w(r) = -6*q(r) + 5*y(r). What is the remainder when n is divided by w(8)?
2
Suppose -2*z = -4*x + 118, x - 2*z + 143 = 6*x. What is the remainder when 106 is divided by x?
19
Suppose 2*i - z - 15 - 9 = 0, 5*i + 4*z = 60. Let c = -188 + 227. What is the remainder when c is divided by i?
3
Let j(z) = 2*z**2 - 8*z - 15. Let y(v) = v**3 - 7*v**2 + 10*v - 7. Let d = -10 + 16. Calculate the remainder when j(-4) is divided by y(d).
15
Let j(p) = 11*p**2 - 6*p + 6. Calculate the remainder when 36 is divided by j(1).
3
Let i be -1 + 1 + (-3 - (-1 - 2)). Suppose -3*d + 14 + 70 = i. Calculate the remainder when 83 is divided by d.
27
Suppose 6*c + 12 = 2*c. Let d(n) be the third derivative of n**5/30 - n**4/12 - n**3/2 - 5*n**2 - 8. What is the remainder when 62 is divided by d(c)?
20
Let i(c) = -19*c - 68. Calculate the remainder when 84 is divided by i(-6).
38
Let m(u) = 5*u + 50. Let l be m(-10). Suppose 0*s - s + 2*d + 23 = l, 23 = s + d. Calculate the remainder when s is divided by 6.
5
Suppose -8*z = -21*z + 26. Suppose x + 4*x + z*g - 445 = 0, 154 = 2*x - 4*g. What is the remainder when x is divided by 30?
27
What is the remainder when 9/(-3)*19*(-13 - -12) is divided by 36?
21
Let w(a) = a + 22. What is the remainder when 94 is divided by w(2)?
22
Let c(i) = -1. Let r(t) = -t - 1. Let f(s) = -9*s + 13. Let v(m) = f(m) - 3*r(m). Let w(q) = 6*c(q) + v(q). What is the remainder when w(-9) is divided by 22?
20
Suppose 3*u - 8 + 56 = 0. Let w = 14 - 25. Let z = w - u. Calculate the remainder when 14 is divided by z.
4
Let m be (7/28)/((-5)/20). What is the remainder when 81 is divided by 19 - 3 - (m + 0)?
13
Let n be (-14)/(-35) + (-36)/(-10). Let q(r) = -r + 12. Let z be q(n). Suppose z = -2*s + 52. What is the remainder when s is divided by 8?
6
Let j(w) = -w**3 - w + 1. Let i(h) = -h**3 + 9*h**2 + 6*h + 16. Let t(u) = i(u) - 2*j(u). What is the remainder when 78 is divided by t(-8)?
8
Let l be ((-3)/(-2))/(3/4). Suppose -2 = -l*m + 2*d, -3*m = -0*d + d + 17. Let t = m + 23. Calculate the remainder when 75 is divided by t.
18
Let y = 5 + -9. Let d be 4*1 - (5 + y). Suppose x + 20 = d*x. Calculate the remainder when 18 is divided by x.
8
Suppose 0 = 5*p - 25, 0 = -5*b + p - 85 + 100. Suppose g = -g + 44. Calculate the remainder when g is divided by b.
2
Let i(k) = -k**3 - 9*k**2 - 9*k - 5. Let v be i(-8). Suppose 0 = d - 24 + v. What is the remainder when d is divided by 3 + (3 - 4) - -10?
9
Let j = 17 + -47. Let r = -27 - j. Suppose -2*u + 5*u = -r*v + 189, -5*u + 2*v + 350 = 0. What is the remainder when u is divided by 23?
22
Let b = 231 - 214. Calculate the remainder when 17 is divided by b.
0
Suppose -5*u = 3*o - 451, u + 472 = 6*u - 4*o. What is the remainder when 273 is divided by u?
89
Let d = -62 - -15. Let m = 60 + d. What is the remainder when 21 is divided by m?
8
Suppose 5 = -i - 22. Suppose 0 = 3*r - 19 + 13. Calculate the remainder when 106 is divided by (1 - r)/(1/i).
25
Suppose k - 2*w + 5*w - 10 = 0, 3*w = 0. Let l = -17 + 23. What is the remainder when k is divided by l?
4
Let k(q) = -3*q**3 + 81*q**2 + 19*q - 9. What is the remainder when k(27) is divided by 11?
9
Let r be ((-4)/8 - -3)*-8. Let h(k) = -k**3 - 20*k**2 - k + 7. What is the remainder when 78 is divided by h(r)?
24
Let j = 50 - 31. Suppose 3*s + 209 = 1121. Calculate the remainder when s/4 + 4/(-2) is divided by j.
17
Let d be (26/6)/(1/3). Let n = d - -84. Calculate the remainder when n is divided by ((-20)/3)/((-6)/18).
17
Suppose -7*w = -3*w. Let q(d) = 9*d**2 + d**3 + 5 + 0*d + 0*d**3 + 6*d + w*d**3. What is the remainder when q(-8) is divided by 8?
5
Suppose -y - 95 = -6*y. What is the remainder when y - (0 - -16)/4 is divided by 8?
7
Suppose 4*p - 404 = -4*r, 2*r + 4*p - 197 = p. Calculate the remainder when r is divided by 24.
10
Let n = -29 + 56. Suppose 24 = -q + 34. What is the remainder when n is divided by q?
7
Suppose 0 = 4*u + 2*o - 1748 - 878, 4*o - 3281 = -5*u. Calculate the remainder when u is divided by 15.
12
Suppose -b + 5*b - 166 = -3*z, -168 = -4*b - 4*z. Suppose -5*g - 2*l = -39 - 33, 74 = 5*g + 4*l. Calculate the remainder when b is divided by g.
12
Suppose c + 6*w - w + 22 = 0, -4*w = -2*c - 30. What is the remainder when 40 is divided by 1/2*(5 - c)?
7
Calculate the remainder when 171 is divided by ((-116)/8)/(4/(-24)).
84
Suppose -a = -4*o + 62, -9*o + 4*a = -11*o + 22. What is the remainder when 149 is divided by o?
14
Let y = 36 + 29. Suppose -2*g - 3*w - 2*w = -26, 5*g = -4*w + y. Suppose 4*f - 22 = 2*b, 34 + 13 = 4*f + 3*b. What is the remainder when g is divided by f?
5
Let i(v) = v**3 + 5*v**2 + 4*v - 4. Suppose 4*b + 0 = 4. Calculate the remainder when i(-3) is divided by b.
0
What is the remainder when 52 is divided by 4/(-4 - (-440)/105)?
10
Suppose 0 = 3*d + 4*t + 47, 0 = -4*d + 5*t - 4 - 7. Let g = d + 24. What is the remainder when 86 is divided by g?
11
Suppose 6*n - 569 = 1. What is the remainder when n is divided by 11?
7
Let w(o) = 2*o + 24. What is the remainder when 85 is divided by w(-10)?
1
Suppose -1958*u + 70 = -1956*u. What is the remainder when 487 is divided by u?
32
Let d(i) = -i - 3. Let k be d(-7). Let z(m) = m**2 - 2*m - 1. What is the remainder when (18/10)/(0 - 1/(-15)) is divided by z(k)?
6
Suppose 4*y + 4*b = 4, b + 8 = -3*b. Let n be (39/4)/(3 + 21/(-8)). Let t = n + -21. Calculate the remainder when t is divided by y.
2
Let p = -47 + 52. Let v = p - -60. Calculate the remainder when 129 is divided by v.
64
Suppose 510 = 2*w + 362. What is the remainder when w is divided by 40?
34
Suppose 5*n - n + 4*c = 20, 2*n = -c + 11. Suppose n*f - 66 = 36. Calculate the remainder when f is divided by 4.
1
Suppose -5*b - 6 + 36 = 0. Calculate the remainder when 53 is divided by (-30)/18 + 2 + 46/b.
5
Suppose u + 1321 = 1380. Calculate the remainder when 470 is divided by u.
57
Let r(q) = q. Let u(z) = z - 5. Let y(m) = -3*r(m) + u(m). What is the remainder when (-7)/(-2)*(-104)/(-4) is divided by y(-14)?
22
Let p = 218 - 193. Calculate the remainder when p is divided by 13.
12
Let i(s) = -27*s - 2. Let k be i(-1). Let c = k - 21. Suppose -c*p + 5*p - 4 = -d, 2*d = p + 2. Calculate the remainder when 7 is divided by d.
1
Let n be (9*-2)/(12 - 14). Suppose 0 = -3*p + n*p - 42. What is the remainder when 8 is divided by p?
1
Let m(k) be the third derivative of 1/12*k**4 + 0*k**3 + 0*k + 5*k**2 + 0. Calculate the remainder when 47 is divided by m(6).
11
Let o(v) be the first derivative of -1/4*v**4 - 5*v + 2*v**3 + 1/2*v**2 + 3. Calculate the remainder when o(4) is divided by 11.
9
Suppose 2*q = 18 + 4. Suppose q*v - 16*v = -185. What is the remainder when v is divided by (3 - -4) + (0 - -1)?
5
Suppose 0 = -z + 2*u + 138, 211 = 2*z + 3*u - 51. Calculate the remainder when z is divided by 47.
40
Let n(l) = 78 - 75 - 54 - 36*l. Calculate the remainder when n(-8) is divided by 60.
57
Suppose 0 = 7*u - 21*u + 280. What is the remainder when 84 is divided by u?
4
Calculate the remainder when 