ppose -t = -5*p + 2*q, q - 630 = -5*p + 4*q. Calculate the remainder when p is divided by 31.
30
Let v(m) be the first derivative of m**4/4 + 7*m**3/3 + m**2/2 + 3*m + 2. Let a be v(-7). What is the remainder when 19 is divided by 2/a*-14*1?
5
Let x(v) = v**3 - 4*v**2 + 6*v - 8. Let g(m) = m**3 - 7*m**2 - 8*m + 10. Let c = -8 + 16. Calculate the remainder when x(4) is divided by g(c).
6
Suppose -2 = 2*h + s, -3*h + 5*s + 0 = -23. Let u = h + 7. Let c(q) = -q**2 - 8*q + 5. What is the remainder when u is divided by c(-8)?
3
Let m(c) = 12*c**2 - 2*c + 1. Suppose 5*h + 15 = -5*s, -s + 2*h + 10 = 1. Let p = -4683 + 4724. Calculate the remainder when p is divided by m(s).
8
Suppose 54 = 5*a + 14. Suppose -6*x = -a*x + 28. Calculate the remainder when 50 is divided by x.
8
What is the remainder when 86 is divided by 23/6*4*15/10?
17
Let r(n) = -89*n - 171. What is the remainder when 18 + 1 + 1*-1 is divided by r(-2)?
4
Let z be (-88)/9 - (-12)/(-54). Let i = 17 - z. Suppose -3*d = -24 - i. What is the remainder when 48 is divided by d?
14
Let z(u) = -u**3 + 10*u**2 + u + 15. What is the remainder when z(9) is divided by 25?
5
Let x = 1555 - 1519. Suppose 0 = -2*o - 2*o + 420. What is the remainder when o is divided by x?
33
Let v = -74 - -115. Let w = 57 - v. Calculate the remainder when 29 is divided by w.
13
Suppose -2*q = -101 + 19. What is the remainder when q is divided by (7 + 5/(-2))*(-28)/(-6)?
20
Suppose 0 = -5*p + 2*y + 375, -3*p - 57 = -y - 282. Calculate the remainder when p is divided by 13.
10
Suppose 234 = 2*s - 2*r, 17*r = 12*r - 20. What is the remainder when s is divided by 64?
49
Let j(k) = -k**3 + 5*k**2 + 3*k + 17. What is the remainder when j(5) is divided by 4/(-16) + 138/8?
15
Let b(r) = -10*r - 16. Let c be 282/(-4)*(-2 + 0). Suppose 5*q - q + c = 5*u, u - 9 = -4*q. Calculate the remainder when u is divided by b(-3).
11
Suppose -10*x + 300 - 90 = 0. What is the remainder when 136 is divided by x?
10
Let l(w) = 23*w**2 + 4. Let k be l(-2). Suppose 6*n = k + 798. Calculate the remainder when n is divided by 10.
9
Suppose 7*s = 8*s. Suppose 0 = -0*j + 2*j - i - 19, -3*i + 9 = s. Suppose 18 = 2*y + y. Calculate the remainder when j is divided by y.
5
Suppose 385 = 5*p + 2*p. Suppose 3*u = 45 + 15. Calculate the remainder when p is divided by u.
15
Suppose -2*z = -5*p + 53 + 5, -70 = -5*p + 5*z. Calculate the remainder when p is divided by 2.
0
Let c = 27 - 24. Suppose 3*t = -12, c*t - t - 132 = -5*i. What is the remainder when i is divided by 17?
11
Let k = -44 + 103. Calculate the remainder when k is divided by 27.
5
Let l be 424/6 + 8/6. Let y be (l/(-20) + 4)*10. Let d(k) = k**3 - 2*k**2 - 5*k. Calculate the remainder when 34 is divided by d(y).
10
Let o = 0 + 6. Calculate the remainder when (-13 - -26) + -27 - -28 is divided by o.
2
Suppose 2*m = w + 25, -5*m - w - 24 = -97. Let d = 48 + -30. Suppose d = 9*j - 225. What is the remainder when j is divided by m?
13
Let p = 41 + -14. Suppose 4*j = -3*n + 53, 3*j - 5*j - 2 = 0. What is the remainder when p is divided by n + -1 - (-40)/(-10)?
13
Suppose 0 = -2*l + 5*z + 54, -l + z = -3*z - 30. Calculate the remainder when l is divided by 13.
9
Suppose 0 = 4*j - 2 - 6, -5*y - 3*j = -2471. Calculate the remainder when y is divided by 33.
31
Suppose 0 + 12 = -6*o. What is the remainder when 63 is divided by -4*o/(16/44)?
19
Suppose -5*s + 45 = b, 3*b + 5*s = b + 80. Calculate the remainder when 68 is divided by b.
33
Let w = 233 + -214. Let x be ((-44)/(-5))/(4/50). Suppose p - x = -p. Calculate the remainder when p is divided by w.
17
Let a(m) = -m**3 - 21*m**2 + 20*m + 15. Suppose 2*h - 12 = 3*h + 2*f, 3*h = 4*f - 86. Calculate the remainder when a(h) is divided by 15.
14
Suppose 5*s - 273 = -4*y - 69, 2*y - 2*s - 120 = 0. Let i = 11 + -18. What is the remainder when y is divided by (-135)/i - (-4)/(-14)?
18
Let i = 86 - 55. Suppose 0 = 4*n - 56 - 184. Calculate the remainder when n is divided by i.
29
Suppose 9*o - 21*o = -48. What is the remainder when 193 is divided by o?
1
Suppose -197 = -3*m - j, -2*m - 12*j = -11*j - 132. What is the remainder when m is divided by 45?
20
Let b be (-1)/(-3)*3 + -1. Suppose -5*j + j + 116 = b. Suppose 8*r - 107 - 13 = 0. Calculate the remainder when j is divided by r.
14
Let u = -109 - -169. Let q(h) = 9*h + 7. Calculate the remainder when u is divided by q(1).
12
Let i = -78 - -111. What is the remainder when 656/22 + 6/i is divided by 8?
6
Let w(u) = -u**3 + 11*u**2 - 7*u - 14. Let x be w(10). Suppose 5*h + 5*z = 21 + 64, x = 3*h - 4*z. What is the remainder when 3/(h/8) + 21 is divided by 8?
7
Let c = -28 + 39. Let g(u) = 6*u - 26. Let z be g(c). Let l = 77 - z. What is the remainder when l is divided by 19?
18
Let h(c) = c**2 - 2*c - 3. Suppose 0*l + 3 = -l. Let s = l + 1. What is the remainder when h(s) is divided by 2?
1
Let l(x) = -19*x - 182. Suppose -5*k + 315 = -80. Calculate the remainder when k is divided by l(-11).
25
Let h(a) = -4*a**2 - 3*a + 3. Let v be h(1). What is the remainder when (-1)/((-3)/291)*(5 + v) is divided by 50?
47
Let q(h) = 4 - h + 0*h + 3 - 1. Let a be q(14). Let z(b) = -b + 11. Calculate the remainder when 35 is divided by z(a).
16
Suppose -24*o - 6 = -27*o. What is the remainder when 10 is divided by o?
0
Let u(m) = 11*m + 200. What is the remainder when 71 is divided by u(-18)?
1
Suppose 102 = -23*p + 26*p. What is the remainder when p is divided by 23?
11
Let h = 41 + -24. Let j = 295 - 288. Calculate the remainder when h is divided by j.
3
Let u = -1199 - -1205. Suppose -p + 3*p = 50. Let b = p + -15. What is the remainder when b is divided by u?
4
Suppose -1258 = -9*u + 4*x, u - 536 = -3*u - 4*x. What is the remainder when 1516 is divided by u?
136
What is the remainder when 108 is divided by -3 - (7 - (31 + 0))?
3
Let v be (-5 - -6) + (-1 - -2). Suppose 0 = -5*d + 3*b + 4, 5*d + 3*b - 2*b = 12. Suppose 0 = d*p + v*p - 108. What is the remainder when p is divided by 7?
6
Suppose 3*q = 4*v - 4, 4*v + 13 - 45 = -4*q. Suppose 131 = v*t - 5*b, -t + b - 10 + 43 = 0. Calculate the remainder when t is divided by 13.
8
Suppose -9 = -4*h - 1. Suppose -4*m + g + h*g = -30, -3*m + 3*g + 24 = 0. What is the remainder when m is divided by (-2)/4 + (-18)/(-4)?
2
Let r(d) = 32*d + 7. Let b be r(-2). Let j = 94 + b. Calculate the remainder when j is divided by -2*(-10 + -1 + 1).
17
Let z = 17 - -32. What is the remainder when z is divided by 15?
4
Suppose 0 = 4*n - 4*h - 12, 0*n + 4*h = -n + 8. Suppose -5*m - d + 743 = -2*d, 0 = 2*d - n. Calculate the remainder when m is divided by 38.
35
Suppose -2*g - 2*g + 348 = 3*z, -z - 174 = -2*g. Calculate the remainder when g is divided by 32.
23
Suppose 3*z - 48 - 27 = 0. Suppose -3*h + h + 2 = 0, -3*h = -3*t + 24. What is the remainder when z is divided by t?
7
Suppose 113*f = 68*f + 18045. Calculate the remainder when f is divided by 101.
98
Let f be (10/(-2) + -16)*(-60)/14. Let c = f + -66. What is the remainder when c is divided by 7?
3
Let w(m) be the first derivative of -m**4/2 - 5*m**3/3 - m**2/2 - 4*m - 15. Calculate the remainder when w(-4) is divided by 10.
8
Suppose -3*y - 21 = -5*v, -2*y - v = -4*v + 15. Let p be (-4)/3*y/8. What is the remainder when (-10)/15*(-81)/p is divided by 15?
12
Let q be ((-5 - -2) + 2)*1 - -4. Suppose t = -g + 4*g - 97, -q*t = 4*g - 112. Calculate the remainder when 91 is divided by g.
29
Suppose 4*q = x - 0*x - 20, 0 = -5*x - 4*q + 4. Suppose j - x + 0 = 0. Suppose -j*r + 69 + 7 = 0. What is the remainder when r is divided by 7?
5
Let v be ((-1)/(-2)*-4)/(-1). Let d(n) = v*n**3 + 11*n**2 - 5 + n**3 - 2*n**3 - 4*n. What is the remainder when d(-11) is divided by 10?
9
Suppose 412 = 9*x - 479. What is the remainder when 296 is divided by x?
98
Suppose 2*m + 1 = 3*h - 5, -m = -3. Suppose 0*c + h*c + 3*g - 23 = 0, 4*c - 2*g - 18 = 0. Calculate the remainder when 14 is divided by c.
4
Suppose 3*h + 0*h - 36 = 3*a, 0 = -4*h - 5*a + 66. Let t = 187 - 121. Let s = 121 - t. What is the remainder when s is divided by h?
13
Let a be 1/(-4)*-38*6. Suppose 4*r = r + a. Suppose -2*d + 220 = 2*d. Calculate the remainder when d is divided by r.
17
Let q(t) = -24*t**3 + t**2 + 5*t + 3. What is the remainder when 229 is divided by q(-1)?
22
Suppose 