ppose 2*k + x - 19 = 0, 3*k - 6*x = -11*x + 18. Calculate the remainder when r(-4) is divided by k.
9
Let z(g) = g**3 + 7*g**2 + 4*g + 3. Let x be z(-6). What is the remainder when 8 is divided by x/(-6)*42/(-35)?
2
Let l(c) = c + 1. Let x be l(2). Suppose s - 53 = -k, 0 = -x*s - 2*k + 142 + 14. Let i = s + -23. Calculate the remainder when i is divided by 14.
13
Suppose 2*h - 2*a - 24 = 2*a, -6 = -h + 5*a. What is the remainder when h is divided by (-3)/(-1)*(5 + -2)?
7
Let y = -83 - -89. Let q(o) = 19*o - 67. What is the remainder when 234 is divided by q(y)?
46
Suppose -1 = -3*n + 5. Let t be (n - -1)*(-70)/(-15). Suppose 4*w + 5*z = 85, 2*z - t = -4. What is the remainder when 42 is divided by w?
12
Suppose 3*l - 2*l = 25. Let w(x) = 30*x + 165. What is the remainder when l is divided by w(-5)?
10
Let g = 43 - 44. What is the remainder when 89 is divided by (-2)/g + 4 + -4 + 11?
11
Let y(v) = -4*v**3 + v**2 - 2*v - 2. Let d be y(-2). Let c = -10 + d. What is the remainder when c is divided by 16?
12
Let v(k) = -k**3 - 14*k**2 - 11*k - 47. Let r(i) = -4*i**2 - 3*i + 8. Let c be r(2). Calculate the remainder when v(c) is divided by 28.
23
Suppose -s = 109 + 28. Let j = -95 - s. Calculate the remainder when j is divided by 11.
9
Suppose 13 = -c + 2*c. Let y be 0*-3*(-5)/(-30). Suppose y = 5*j - 41 - 69. Calculate the remainder when j is divided by c.
9
Suppose 0 = -0*v - 4*v + 24. Suppose 0 = -3*l + v*l - 3. Calculate the remainder when (13 - -1 - l)*2 is divided by 7.
5
Let p(i) be the third derivative of 47*i**5/60 + i**2. Let a be p(1). Let c = a + -34. What is the remainder when c is divided by 8?
5
Let n = 438 + -399. Calculate the remainder when n is divided by 12.
3
Suppose 10*z - 29 = 11*z. Calculate the remainder when (-2)/2*(18 + z) is divided by 3.
2
Let l be 1*10 + -11 + 15. Calculate the remainder when 35 is divided by 262/l - (-4)/14.
16
What is the remainder when 15 is divided by (((-21)/6)/(-7))/((-13)/(-130))?
0
Let d = -155 + 179. Calculate the remainder when 117 is divided by d.
21
Suppose 5*s + 0 + 15 = 0. Let x(u) = -4 + 6 - 2*u + u - 7*u. Calculate the remainder when x(s) is divided by 14.
12
Let v = -124 + 58. Let s = v - -78. What is the remainder when 70 is divided by s?
10
Suppose 0 = 31*v - 18*v - 182. Calculate the remainder when 24 is divided by v.
10
Let r = -46 - -48. What is the remainder when 36 is divided by r*((-19)/(-2) + 0)?
17
Calculate the remainder when 37 is divided by (-11)/((-165)/508) + 2/15.
3
Suppose -u - 4*v + 4 = 0, -4*u - 4 = -2*v - 2*v. Suppose u = 3*f + 2*q - 19, 16 = 3*f + q - 4. Calculate the remainder when 19 is divided by f.
5
Let r(h) = -8*h**2 + 3*h - 1. Let n be r(1). Let b = 18 - n. Calculate the remainder when 94 is divided by b.
22
Let s = 21 + -12. Let f = -14 + 18. Suppose 5*q - 6 = f*q. Calculate the remainder when s is divided by q.
3
What is the remainder when 58 is divided by 4/20 + (-1368)/(-60)?
12
Let s(w) be the first derivative of 7*w**3 + w**2 + 3*w + 15. Calculate the remainder when s(-2) is divided by 42.
41
Suppose 2*g - 10 = 3*g. Let k(f) = -f**3 - 6*f**2 + 16*f + 21. Let m be k(-8). Let d = g + m. What is the remainder when 20 is divided by d?
9
Suppose 6 - 21 = -3*p. Let n be (0 - -1)/(p/180). What is the remainder when 35 is divided by (n/8 + 0)*2?
8
What is the remainder when 491 is divided by -3 - (-9 - -63)/(-3)?
11
Let p = 816 + -761. What is the remainder when 128 is divided by p?
18
Suppose 0 = -5*r - 433 + 1198. Let m = r - 92. What is the remainder when 242 is divided by m?
59
Let u(t) be the first derivative of -23*t**2/2 + t + 1. Let y = 633 + -615. Calculate the remainder when u(-3) is divided by y.
16
Suppose -2*x - 6 = 0, 0 = -2*a + a - x + 55. Calculate the remainder when a is divided by 11.
3
Calculate the remainder when (-12 + 2730)/((-4)/(-8)) is divided by 21.
18
Suppose -22*f + 18*f = -132. Calculate the remainder when 227 is divided by f.
29
Calculate the remainder when 417 is divided by 10 + (-20)/4 + 12 + 5.
21
Let d(v) = -19*v - 15. What is the remainder when 37 is divided by d(-1)?
1
Let z(w) be the first derivative of w**4/4 - 7*w**3/3 - 2*w**2 + 23*w + 1. Calculate the remainder when z(8) is divided by 30.
25
Let a(s) be the first derivative of 6*s + 1/4*s**4 + 10/3*s**3 - 7*s**2 + 3. Calculate the remainder when a(-11) is divided by 20.
19
Calculate the remainder when 405/6 + 57/(-38) is divided by 40.
26
Suppose -2*a + a - 3 = -3*o, a - 2*o = 1. Let g be 0 + 30 + -2 + 42/21. What is the remainder when 19 is divided by (-3)/(-1)*g/a?
9
Suppose -p = 0, p = -h + 98 - 72. Suppose w = -2*w + 42. Calculate the remainder when h is divided by w.
12
Let g(d) = 2*d**3 + 2*d**2 - d. Let c(o) = 39*o + 939. What is the remainder when c(-23) is divided by g(2)?
20
Let u(j) = -321 + 7*j - j**2 + 307 + 8*j - 3*j. Calculate the remainder when 48 is divided by u(9).
9
Let w be 112/11 + (-4)/22. Suppose -w = -v + 2. What is the remainder when 33 is divided by v?
9
Let b = 97 + -83. Calculate the remainder when 54 is divided by b.
12
Let o be 18 - 19 - 5/1. Let l(t) = -t**3 - 6*t**2 - 5*t - 19. What is the remainder when l(o) is divided by 8?
3
Let u be 2/6*(-135)/(-9). Let o(h) = 7*h**2 - 2*h - 5*h**2 + 12 - h**2 - u. Calculate the remainder when o(-7) is divided by 18.
16
Let n be -3 - -2 - -1*5. Suppose n*i + 5*v + 0*v - 102 = 0, i - 3*v = 17. Let d = i + 5. Calculate the remainder when d is divided by 10.
8
Suppose 4*y + 14 = -2. Let c(v) = v**2 + 2*v + 6. Calculate the remainder when 24 is divided by c(y).
10
Let k(d) = -d**2 + 8*d - 10. Let f be -2 + (7 - (0 + -1)). Let s be k(f). Suppose -11 = s*z - 45. What is the remainder when 33 is divided by z?
16
Let z(k) = k**3 + 3*k**2 - 11*k - 1. Let d be z(-5). Suppose 368 = d*w - 44. What is the remainder when w is divided by 13?
12
Suppose -3*w = -4 - 5. Suppose -2 - 22 = -w*v. Calculate the remainder when 46 is divided by v.
6
Suppose 2762 = 5*i - u - 3712, 5*u = -4*i + 5185. Calculate the remainder when i is divided by 24.
23
Suppose 2*x + g + 80 = -2*x, -4*g = x + 5. Let b = x + 34. Suppose 6*p + 280 = b*p. What is the remainder when p is divided by 21?
19
Let d be (11*-3 + -2)*(-49)/35. Suppose 15 + d = 4*r. Suppose 2*f + 5*o - 82 = 3*o, -3*f = -3*o - 147. What is the remainder when f is divided by r?
13
Let r(m) = m - 1. Let u(f) = f**2 + 16*f + 7. Let o(g) = -3*r(g) - u(g). What is the remainder when o(-11) is divided by 22?
18
Let d(y) = -y**3 + 5*y**2 + y - 1. Suppose -o + 2*f + 20 = 0, 0 = 2*o + 2*o - 5*f - 65. Calculate the remainder when o is divided by d(5).
2
Suppose 12*f = 1168 + 1676. What is the remainder when f is divided by 15?
12
Let i(h) = 14*h + 421. What is the remainder when 50 is divided by i(-28)?
21
Let w(n) = n**2 + 9. Let s(f) = f**2 - 7*f - 1. Calculate the remainder when w(4) is divided by s(8).
4
Let r = 32 + 7. Suppose 169 = -5*x - 3*d, 2*x - x - 2*d + r = 0. Let g = x - -60. What is the remainder when g is divided by 13?
12
What is the remainder when 136 is divided by (-9*6/(-108))/((-1)/(-130))?
6
Calculate the remainder when 368 is divided by (-106 + 98)/((-5)/(50/8)).
8
Suppose -2*a - 26 = -4*a. Let r = -9 + a. Suppose 0 = 9*q - r*q - 25. Calculate the remainder when 12 is divided by q.
2
Suppose 2*u - o - 194 = -43, -3*o = u - 86. What is the remainder when 538 is divided by u?
76
Let y = 112 - -34. What is the remainder when y is divided by 32?
18
What is the remainder when 186 is divided by (7 + 110/(-15))*-63?
18
Let r = 246 - 228. What is the remainder when 305 is divided by r?
17
Let z be ((0 - -313) + 3)*(-1)/(-4). Let b = z + -45. Calculate the remainder when b is divided by 12.
10
Let l(p) = p**3 + 8*p**2 + 6*p - 3. Let k be l(-7). Let n be -5*k*(-3)/30. Suppose 56 = -a + n*a. What is the remainder when a is divided by 19?
18
Let f be -1*4/(12/(-15)). Suppose q = 3 + 2, 226 = 3*x + f*q. What is the remainder when x is divided by 18?
13
Let q be (-6)/(-3)*1/(-2). Let a = q + 3. Suppose -p = -a - 12. What is the remainder when p is divided by 8?
6
Suppose 3*r + f - 230 = 0, 3 = 2*f - 7. Calculate the remainder when r is divided by 17.
7
Let l(h) be the second derivative of h**5/10 + 5*h**4/2 + 13*h**3/3 - 9*h**2 - 8*h. Calculate the remainder when 29 is div