) = 14*p**2 + 26*p + 4. Let m(u) = 3*u**2 + 5*u + 1. Let n(c) = -2*b(c) + 11*m(c). What is the remainder when n(a) is divided by 21?
18
Suppose 4*d = a + 11, 4*d + 23*a = 27*a + 8. Let b be (-5)/(-2)*(4 - 2). Suppose 4*f - b*f + 2 = 0. What is the remainder when d is divided by f?
1
Suppose 2*x = 2, -2*k + 105 = 2*k + x. Suppose -3*p + k = 5. Let n(v) = v**3 - 6*v**2 - 5*v + 6. Calculate the remainder when n(7) is divided by p.
6
Let h be 10/(-5)*10/(-4). Suppose -4*w - 3*y = -h*y - 90, 0 = 5*w - 5*y - 115. What is the remainder when 62 is divided by w?
18
What is the remainder when 6/33 + (-48)/44*-53 is divided by 14?
2
Let a be (1 - 1*-4)*1. Suppose -143 = a*i - 398. Let k = 4195 + -4177. Calculate the remainder when i is divided by k.
15
Let x(h) = -8*h - 4. Let b be x(-1). Suppose -10*g + b*g = -66. Calculate the remainder when 31 is divided by g.
9
Suppose -5*h + 2*h - 204 = 0. What is the remainder when 171 is divided by (59 + (-1 - 0))*(-34)/h?
26
Suppose -2*c + 14 = 5*c. Let z = c + 5. Calculate the remainder when 11 is divided by z.
4
Let b = 107 + -102. Suppose 0*f = -3*f + 48. Calculate the remainder when f is divided by b.
1
Let g(c) = c**3 + 34*c**2 + 32*c + 42. What is the remainder when g(-33) is divided by 38?
37
Suppose 6*v + 986 = 3*i + 2*v, 3*v + 337 = i. Let m = i + -192. Calculate the remainder when m is divided by 33.
31
Let q = 23 + -14. Let m(s) = -s + 2. Let a be m(20). Let g = a + 44. What is the remainder when g is divided by q?
8
Let a = 723 - 578. What is the remainder when a is divided by 21?
19
Let d = -1 + 4. Suppose 9 = 3*y, d*n - 21 = -n + y. Suppose n = -4*c + 110. Calculate the remainder when 49 is divided by c.
23
Suppose -32 = -4*j - 2*x, 2*j - 32 = -2*x - 3*x. Calculate the remainder when 2/(-6) - ((-2740)/j)/5 is divided by 23.
22
Let w = -16 + 19. Suppose -k + w*k = 98. Suppose -4*g + 4*a = -108, k = -g + 4*g + 5*a. Calculate the remainder when 45 is divided by g.
22
Suppose -25*f = -488 + 38. What is the remainder when 184 is divided by f?
4
Suppose 13067 = 35*h + 4422. What is the remainder when h is divided by 76?
19
Suppose -5*j = 4*y - 0*y - 270, -3*j + y = -145. Suppose 0 = 62*q - 9*q - 954. What is the remainder when j is divided by q?
14
Let u = 288 + -272. What is the remainder when 104 is divided by u?
8
Let k = 39 + -20. Suppose -3*j - k = -58. Let v(x) = x**2 - 13*x + 11. What is the remainder when 42 is divided by v(j)?
9
Suppose -3*b + 1526 = -9*g + 4*g, -3*b = -4*g - 1525. Let i = b - 299. Calculate the remainder when i is divided by 21.
19
Let k be -7 + -1 + 1/3*3. What is the remainder when 20 is divided by (9/4 - -1)/(k/(-28))?
7
Let g(c) = 15*c**2 - c - 1. Let s = -14 - -13. Suppose -2*p + 110 = -2*f, -2*p + 106 = -0*p - 4*f. Calculate the remainder when p is divided by g(s).
12
Let d(h) = 15*h**2 + 2*h + 1. Let j be d(-3). Suppose 4*x + 10 = j. Suppose x = y + 11. Calculate the remainder when y is divided by 5.
4
Suppose 5*u + b - 129 = 0, -14*u - 101 = -18*u - 3*b. What is the remainder when 46 is divided by u?
20
Suppose -5*k + 5 = -2*l - 10, -4*l - 4*k + 12 = 0. Suppose 3*i - 3*h + 14 = 5*i, l = -4*h. Calculate the remainder when 40 is divided by i.
5
Suppose p = -4*o + 13, -3*p - 31 = -0*p - 2*o. Let l(x) = 2*x**2 + 12*x - 6. What is the remainder when 23 + 1*(-1 - 0) is divided by l(p)?
6
Let f(l) = -2*l - 9. What is the remainder when ((1672/110)/(-19))/((-1)/5) is divided by f(-6)?
1
Suppose 7*i + 19*i = 754. What is the remainder when 51 is divided by i?
22
Let b(g) = -g**3 - 24*g**2 + 21*g - 54. What is the remainder when 198 is divided by b(-25)?
14
Suppose 30*z - 19*z - 55 = 0. What is the remainder when 13 is divided by z?
3
Suppose 5*u + 22 = -8. Let x be 112/42 + 4/u. Suppose 2*l + 3*g - 51 = -x*l, 4*l = 3*g + 45. What is the remainder when 20 is divided by l?
8
Suppose 11*n = 14*n, -r + 51 = -3*n. Suppose 0 = 5*a + 2*m - 129, -3*a + 5*m = 3*m - 87. What is the remainder when r is divided by a?
24
Suppose 0 = -34*o + 30*o + 16. Suppose 0*y + o*y = 120. Calculate the remainder when 118 is divided by y.
28
Suppose 0 = 5*p + 3*t - 238, -42 + 225 = 4*p - 5*t. Suppose 5*q - 50 = -5*u, -p = -5*q - 3*u - 1. What is the remainder when 17 is divided by q?
1
Let p(i) = i - 5. Let f(d) = 2*d**2 - 15*d + 8. Let z be f(6). Let w be 30/4*(-12)/z. What is the remainder when 14 is divided by p(w)?
2
Let k = 85 - 90. What is the remainder when k/3 - 1437/(-9) is divided by 20?
18
Suppose -291 - 103 = -2*g. What is the remainder when g is divided by 11?
10
Suppose 14 = -2*r - 4*k, -r - 3*k = -5*r + 27. Suppose r*j = 10*j - 105. What is the remainder when 162 is divided by j?
12
Let q be 1164/39 + 2/13. Let g be 216/(-20)*30/(-12). Let x = g + q. Calculate the remainder when x is divided by 15.
12
Let l(k) = k**2 + 3 - 2*k**2 + 7*k - 11. Let d be l(3). Let s = 17 + d. Calculate the remainder when s is divided by 6.
3
Let r(s) = s**3 + 6*s**2 + 3*s + 3. Let y be (-2 - -6)/4*-5. Let z be r(y). Suppose -237 = -5*a + z. What is the remainder when a is divided by 18?
14
Calculate the remainder when ((-351)/(-18) - 8)*16 is divided by 11.
8
Calculate the remainder when -2*((-26)/4 - -2) is divided by 40/7 + (-60)/(-210).
3
Let h(t) = t**2 - 9*t - 104. What is the remainder when h(21) is divided by 65?
18
Let x = -482 + 507. Calculate the remainder when 649 is divided by x.
24
Let o(t) = -25*t + 24. Suppose -3*l + 5*u - 51 = -5*l, 0 = l - u - 8. What is the remainder when o(0) is divided by l?
11
Let o(q) = q + 3. Let k = -81 - -86. What is the remainder when 29 is divided by o(k)?
5
Let l(p) be the third derivative of 0 - 1/120*p**6 + 0*p - 1/20*p**5 + 1/3*p**3 - 5*p**2 + 1/12*p**4. What is the remainder when l(-4) is divided by 6?
4
Suppose -y = 5*y - 792. What is the remainder when y is divided by 28?
20
Let q = 185 + 0. Suppose -15 = -10*c + q. Calculate the remainder when c is divided by 12.
8
Let r(z) = z**3 + 5*z**2 - 3*z - 20. What is the remainder when 10 is divided by r(-4)?
2
Let z = 390 + 441. Calculate the remainder when z is divided by 26.
25
Let y = 205 + -188. What is the remainder when y is divided by 6?
5
Suppose -6*w + 57 = -63. Suppose 2*h - 26 = 5*x, 0 = 4*h - 0*x - 2*x - w. Calculate the remainder when 3 is divided by h.
0
Let y(z) = -z**3 + 16*z**2 - 16*z + 18. Let k be y(15). What is the remainder when 91 is divided by (-93)/(-2)*2/k?
29
Let b(k) = -4*k - 2. Let m be b(-2). Let s(z) = z**3 - 5*z**2 - 2*z + 1. Suppose 0 = -4*x + 374 - 82. Calculate the remainder when x is divided by s(m).
23
Let w = 34 - 17. Suppose w*y + 850 = 22*y. Suppose 5*d - 3*f - 150 = 0, -5*d + 0*f = f - y. Calculate the remainder when 96 is divided by d.
30
Let k = -12 - -14. Suppose -25 = -k*a + 47. Suppose 0 = -4*o + 144 - a. Calculate the remainder when o is divided by 14.
13
Suppose -y = 4*w - 265, 4*w = -0*y - 3*y + 267. What is the remainder when w is divided by 18?
12
Let q = -1607 + 1725. Calculate the remainder when q is divided by 116.
2
Let p = -667 - -1114. Calculate the remainder when p is divided by 15.
12
Let m(z) = 10*z**2 - 136*z + 24. What is the remainder when m(15) is divided by 34?
30
Let s(y) = 2*y**2 - 3*y**2 + 3*y**2 - 8 - y**2. Let v = 22 - -1. What is the remainder when v is divided by s(-4)?
7
Let g(a) = a**3 + 7*a**2 + 6*a - 5. Let r be g(-6). What is the remainder when r*(-2 - -1)*8 is divided by 14?
12
Suppose 5*s - 1 = 9. What is the remainder when 92 is divided by s + 22 - (-4 + (1 - 0))?
11
Let w(r) = -r**3 - 4*r**2 + 3*r + 9. What is the remainder when 93 is divided by w(-5)?
17
Let n = -11 + -2. Let f = n + 49. What is the remainder when f is divided by 8?
4
Let r = 359 + -227. Suppose 5*d = -5*f - 0*d + 240, d + r = 3*f. Suppose 27 = a - 0*a + 4*n, 0 = -3*n + 3. What is the remainder when f is divided by a?
22
Suppose -30*g + 19*g + 1397 = 0. Calculate the remainder when g is divided by 73.
54
Suppose c - 31 - 38 = -3*x, -2*x - 5*c = -59. Let h be (-392)/x - 10/55. Let k = 7 - h. What is the remainder when k is divided by 13?
12
Let l(t) = 78*t + 60. What is the remainder when 351 is divided by l(0)?
51
Let u(f) = -f**2 + 0*f**2 + 2*f**2 + f + 17 - f**3 - 8*f**2. Calculate the remainder when 49 is divided by u(-7).
9
Let b be -2 + 1*(2 - 2). Let v(y) = 2*y