11. Let b(o) = o**3 + o**2 - o + 84. What is the remainder when b(0) is divided by x(-11)?
18
Let x = 59 - 47. Let t be -35 + 3*(-3)/(-9). Calculate the remainder when 4*(-3 - t/4) is divided by x.
10
Let w(l) = l**2 + 8*l + 17. Let b be w(-11). Let t = 61 - b. What is the remainder when 28 is divided by t?
6
Let g = -10 + 14. Suppose 2*j + 70 = 3*w, -4*w + 7*j - g*j + 92 = 0. What is the remainder when 155 is divided by w?
25
Let b(r) be the first derivative of r**3/3 + 10. Calculate the remainder when b(-3) is divided by (2 + 7/(-5))*5.
0
Suppose 3*w - 62 = -4*k + 277, 0 = w - 4*k - 97. What is the remainder when 313 is divided by w?
95
Let h(f) = -f**2 + 22*f - 7. Let c be h(19). Suppose c*v = 48*v + 136. Calculate the remainder when v is divided by 18.
14
Let g(b) = -6 + 2*b**2 + 4*b - b + 2. Calculate the remainder when g(-4) is divided by -14 + 27 + -8 + 5.
6
Let c be (-6)/(6/5)*-1. Suppose -z - 197 = -c*f, 2*f - 68 = z - 6*z. What is the remainder when f is divided by 14?
11
Let h(v) = -v**3 - 8*v**2 - 11*v - 66. Calculate the remainder when 962 is divided by h(-8).
16
Let k(l) = l**3 - 6*l**2 - l - 7. Let b be k(5). Let r = 12 + b. Let o = 2 - r. What is the remainder when o is divided by 15?
12
Let d(w) be the second derivative of 4*w**3/3 - 51*w**2 + 2*w - 11. Calculate the remainder when d(16) is divided by 14.
12
Let z(j) = -3*j**2 - 302*j - 2188. Calculate the remainder when z(-92) is divided by 1/(-2) - (-94)/4.
20
Let p(v) = -7*v - 27. Let c = -27 + 112. Calculate the remainder when c is divided by p(-8).
27
Suppose 0 = 3*z + 3*n - 8 - 19, 5*z - 2*n - 10 = 0. Suppose -2*f + 6*f + 3*t - 350 = 0, -z*f + 346 = 5*t. Calculate the remainder when f is divided by 23.
20
Let t = -25 + 34. Suppose t*d - 4*d + 4*n - 340 = 0, 0 = -4*d - 5*n + 281. What is the remainder when d is divided by 22?
20
Let l = -197 + 212. What is the remainder when 19 is divided by l?
4
Suppose 3*p - 1065 = -0*p. Calculate the remainder when p is divided by 51.
49
Suppose -3*r = -2*i - 17, -3*r + 3*i = 7*i + 7. Suppose -3*y + 5 + 7 = c, r = -4*c + 5*y. Calculate the remainder when 10 is divided by c.
1
Suppose -16*s + 252 = -9*s. Calculate the remainder when s is divided by 19*(-1 - 2)*24/(-72).
17
Let k(j) = -5*j + 2. Let i be ((-4)/(-3))/(12/54). Let l be (18/(-12))/(i/8). What is the remainder when 22 is divided by k(l)?
10
Suppose 2*q + 0*q = 32. Let g = q + -2. What is the remainder when (-648)/(-9) + (-16)/4 is divided by g?
12
Calculate the remainder when (6780/(-18))/(8/60*-5) is divided by 71.
68
Suppose 5904 = -1378*u + 1747*u. Suppose -2*g - 3*c + 99 = -8*c, g + c = 46. What is the remainder when g is divided by u?
15
Let j = 15 + -10. Suppose -f + 2*f = -5*d + 52, j*d = f + 58. Calculate the remainder when 32 + -7 + 4 - -1*3 is divided by d.
10
Let l(m) = m**3 + 8*m**2 + 5*m - 9. Let h be (-1)/((-1)/(-7) - 0). Let f = -109 - -111. Calculate the remainder when l(h) is divided by f.
1
Let f be (-4 - -27) + -2 + 1. Let k(c) = c**3 - 23*c**2 + 27*c - 28. Calculate the remainder when k(f) is divided by 28.
26
Suppose 16*o + 446 = 1454. Calculate the remainder when o is divided by 33.
30
Let f be (52 + 0 + 3)/((-1)/(-5)). Suppose -f = -10*a + 505. What is the remainder when a is divided by 27?
24
Let o be (-1)/(-4) + 1169/28. Let h = o - -8. Suppose -7*y = -12*y + h. What is the remainder when 37 is divided by y?
7
Let x = 10 + 9. Suppose 2*s = 3*v, -2*v + x = 5*s - 0*v. What is the remainder when s is divided by (0 - -1)/(3/6)?
1
Suppose -2*r - 2*p + 110 = -42, -r = 5*p - 96. Let u = r + -57. What is the remainder when 96 is divided by u?
12
Suppose -9*z - 4 = -10*z. Suppose -c - 10 = -z*f + 7, -c + f = 2. Suppose -x - 106 = -c*x. What is the remainder when x is divided by 18?
17
Let u(r) = -r**3 + r**2 + r - 3. Suppose -15 = 3*g + 2*g. Suppose 178 = -0*a + 2*a. Calculate the remainder when a is divided by u(g).
29
Suppose -o = -5*d + 2, 2*o + 3*d = 16 + 6. Calculate the remainder when 40 is divided by o.
0
Let m be 21 - (2 - 2)*(4 + -3). Let v = m + -4. Calculate the remainder when 65 is divided by v.
14
Suppose -19 = -7*d + 9. Calculate the remainder when 303 is divided by d.
3
Suppose -3*v + h - 4*h + 33 = 0, 0 = -5*h. Suppose 0 = 5*k - v - 9. What is the remainder when (62/6)/(k/36) is divided by 24?
21
Suppose 3*i - 6*i - 15 = 0. Let h = -16 + 6. What is the remainder when 2 is divided by 4/h - 12/i?
0
Let z(f) = -26*f + 2. Let w be z(-2). Let p = -22 + w. Let b = p + -18. What is the remainder when b is divided by 8?
6
Let n = -113 - -193. Suppose -a + n = a. What is the remainder when 79 is divided by a?
39
Let x = 232 - 114. What is the remainder when 453 is divided by x?
99
Suppose 27*p - 95 = 26*p. What is the remainder when p is divided by 49?
46
Suppose -33 = s - 77. Let t = 72 - s. Calculate the remainder when 109 is divided by t.
25
Let o(p) = p + 19. Suppose -48 = -3*c + 66. Let g = -28 + c. What is the remainder when o(0) is divided by g?
9
Let h(k) = k**3 - 13*k + 9. Let n(c) = -2*c**3 - 2*c**2 + c + 6. Calculate the remainder when n(-3) is divided by h(4).
18
Let n(m) = m**2 - m + 39. Let k be n(0). Suppose -3*x + k = -12. Calculate the remainder when x is divided by 8.
1
What is the remainder when 29 is divided by (21 - -1)/(5*(-2)/(-5))?
7
Let u(s) = -s**3 + 5*s**2 - 5*s + 5. Let w(k) = -2*k**3 - 13*k**2 + 5*k - 10. Let t be w(-7). Calculate the remainder when 1 is divided by u(t).
0
Suppose 4*b = 4*t - 20, 3*t - 6*t - 4*b = -15. Suppose -d + z = -2*z - 110, -t*z - 433 = -4*d. What is the remainder when d is divided by 18?
17
Let v(q) = -q**2 + 2*q + 4. Let w be v(5). Let u(l) = l**3 + 10*l**2 - 10*l + 15. Let m be u(w). Let n = 27 + m. What is the remainder when n is divided by 16?
15
Let u be (((-560)/12)/7*24)/(-1). Calculate the remainder when u/15*(-105)/(-14) is divided by 9.
8
Suppose -2*d + 18 = w + 2*d, 3*w + 3*d - 18 = 0. Suppose -w*a = 4 - 30. Calculate the remainder when a is divided by 6.
1
Suppose -6*r + 131 + 217 = 0. Calculate the remainder when 984 is divided by r.
56
Let x(z) = -z**2 + 11*z - 15. Let g(p) = -83*p**3 + p**2 + p - 1. Let l be g(1). Let u = l + 131. Calculate the remainder when u is divided by x(7).
10
Suppose 3*o - 70 = -1. Suppose 8*s - 32 = -0. Let w(i) = -i**2 + 4*i + 6. Calculate the remainder when o is divided by w(s).
5
Suppose 2*w - 316 = -4*g, -618 = 5*w - 9*w - g. Calculate the remainder when w is divided by 20.
14
Let a(p) = p**3 - 12*p**2 + 19*p + 14. Suppose 0 = 4*v - 0*r - 4*r, 4*v = -3*r + 28. Calculate the remainder when a(10) is divided by v.
0
Suppose 6*d - 133 - 845 = 0. What is the remainder when d is divided by 44?
31
Suppose -4 = -2*c, -4*j + 11*c - 10*c - 10 = 0. Let r(q) = 26*q**2 + 4*q + 13. Suppose -a = -0 - 28. Calculate the remainder when r(j) is divided by a.
25
Suppose 2*t - 181 = 2*k - 53, -2*t - 2*k + 124 = 0. Let n be 1431/t + 4/14. Suppose -n - 11 = -2*s. What is the remainder when 48 is divided by s?
14
Suppose 4*q = 5*n + 1408, -n - 156 = -3*q + 889. What is the remainder when q is divided by 25?
22
Let f(l) = l**3 + 7*l**2 + 5*l + 8. Let b be -2 + (2/1)/1. Let o = b + 55. Calculate the remainder when o is divided by f(-6).
13
Let y be (-9)/6*6/9. Calculate the remainder when 5 is divided by y/5 + (-42)/(-10).
1
Let x = -837 - -1082. Calculate the remainder when x is divided by 83.
79
Suppose -263 = q + 24. What is the remainder when q/14*-2*1 is divided by 22?
19
Let l = -13 + -12. Let p = l + 26. Let o = 22 + p. What is the remainder when o is divided by 12?
11
Let m be 124*-1*3/(-4). Suppose 42 + m = 3*c. What is the remainder when c is divided by 12?
9
Suppose 3*v = -5*h - v - 3, 4*h - 4*v + 24 = 0. What is the remainder when 46 is divided by (h + 5)/((-2)/(-12))?
10
Let t = 1756 - 1720. Calculate the remainder when t is divided by 25.
11
Let a be 0/(4 + -1 + -2). Suppose a*m = m + 7. Calculate the remainder when 26 is divided by (-96)/m + (-12)/(-42).
12
Let m = -80 + 128. What is the remainder when m is divided by 15?
3
Let x = 0 + 4. Let g = x - -4. What is the remainder when 22 is divided by (-3)/(-12) + 46/g?
4
Let y(g) = g**3 + 4*g**2 + 2*g - 4. Let f be y(-4). Let b(u) = -11*u - 26. What is the remainder when b(f) is divided by 18?
16
What is the remain