r when a(-6) is divided by d?
16
Suppose 21*a = 25*a. Suppose 5*b + a - 55 = 0. Calculate the remainder when b is divided by 7.
4
Let a(c) be the first derivative of c**4/4 - 10*c**3/3 + 5*c**2 + 8*c + 2. Suppose 38 = f - 27. Calculate the remainder when f is divided by a(9).
14
Suppose 7*t - 5 = 2*t, -3*f + t = -32. Suppose -f*r + 0 = -33. What is the remainder when 7 is divided by r?
1
Suppose 4*y = 8*y - 180. What is the remainder when y is divided by 16?
13
Calculate the remainder when 125 is divided by -158*1/(-12) - 9/54.
8
Let g(x) be the first derivative of 2*x**3/3 + 3*x**2/2 - 4*x + 2. What is the remainder when 56 is divided by g(2)?
6
Suppose 0 = -5*c + 15 - 10. What is the remainder when 63 + ((-4)/3)/(c/3) is divided by 15?
14
Suppose s - 7 = 6*h - 3*h, -s + h + 5 = 0. Suppose -3*j + 2 = 3*n + 32, 4*j + 2*n = -44. Calculate the remainder when j/(-9)*(-45)/(-6) is divided by s.
2
Let d be (56/5)/((-6)/30). Calculate the remainder when (4 - d/(-12))*-54 is divided by 19.
17
Suppose -3*x + 260 = -160. What is the remainder when 6*(-2 + x/8) is divided by 24?
21
Let j be -3 - (-12 + (0 - -4)). Suppose j + 3 = 4*v. What is the remainder when 90 is divided by 6/v*184/24?
21
Suppose -3*k - h + 4 = -4*k, -8 = -3*k - 2*h. Suppose k = 2*z - 6*z + 36. What is the remainder when 26 is divided by z?
8
Suppose 0 = 3*w + 42 - 54. Let t(m) = -m**2 + 7*m + 1. What is the remainder when 36 is divided by t(w)?
10
Suppose -z + 182 = 13*z. Suppose 5*b = 2*s - 31, 0 = -3*s + s - b + z. What is the remainder when 9 is divided by s?
1
Let f = -24 + 47. Suppose 0 = -b + v + 4, -3*v + f = 4*b. Suppose -5*r = -0 - 20. Calculate the remainder when b is divided by r.
1
Let w be (4 + (-26)/4)*(-36)/15. What is the remainder when 29 is divided by -2 - -4 - 4/(-3)*w?
9
Let y(n) = -3*n**2 - 83*n + 42. Let b(q) = -q**2 - 28*q + 14. Let l(u) = -11*b(u) + 4*y(u). What is the remainder when 19 is divided by l(-24)?
5
Suppose s + 1 = -1. Let h be (79/s*2)/(-1). Let w = h + -51. What is the remainder when w is divided by 10?
8
Suppose 6 = -181*x + 179*x, -131 = -i - x. What is the remainder when i is divided by 35?
29
Suppose 3*m + m - 2*s - 2 = 0, -3*s = -5*m + 2. Calculate the remainder when 96/16 + 2/2 + -5 is divided by m.
0
Let v(w) = 2*w + 8*w**2 - 6 - w + w + 0*w**2 - w**3. What is the remainder when 17 is divided by v(8)?
7
Let p = 1334 - 736. What is the remainder when p is divided by 25?
23
Let w(z) = -z**3 + 6*z**2 + 10*z - 5. Calculate the remainder when 47 is divided by w(7).
15
Suppose -1 = t - 2*x - 3*x, 2 = -2*t - x. Calculate the remainder when 35 is divided by t/3*(14 - 71).
16
Suppose 9*r - 15 = 4*r. Let y(c) = c + 17. Let s be y(-17). Suppose -2*d - r*q + 9 = s, -d - 2*d - 2*q = -21. Calculate the remainder when 44 is divided by d.
8
Let r be (-6)/(-2) + 4 + -4. Suppose 0 = -g - g, -j - 5*g = -9. Suppose -k = -j + r. What is the remainder when k is divided by 2?
0
Let m(k) = 2*k**2 + 13*k + 7. Let a be m(-9). Suppose 32 + a = 4*v. What is the remainder when v is divided by 12?
9
Suppose 47*d - 4170 = 42*d. Calculate the remainder when d is divided by 31.
28
Let o(h) = -h**3 - 27*h**2 + 26*h - 26. Calculate the remainder when 37 is divided by o(-28).
7
Suppose -3*r = 2*p - r - 974, -4*r = 2*p - 976. Let h(w) = 3*w**2 + w. Calculate the remainder when h(-4) is divided by p/21 - 1/7.
21
Let h(l) = 3*l**2 + 3*l - 41. Calculate the remainder when 507 is divided by h(6).
82
Suppose 3*u = p + 337, 3*p = -2*u + 80 + 152. Let j = 53 - 24. Calculate the remainder when u is divided by j.
26
What is the remainder when (22/(-4))/(3/(-36)) + 4 is divided by 18?
16
Let t(h) be the second derivative of 7*h**3/6 - 33*h**2 + 15*h. What is the remainder when 70 is divided by t(12)?
16
Suppose 5 = 5*k - 2*z, 4*k - 4*z + 1 + 7 = 0. Suppose 3*w = -k*g + w - 75, -5*w + 96 = -3*g. Let s = g - -74. What is the remainder when s is divided by 24?
23
Let x be (14/4 + 18/(-6))*106. Let q = x - 34. What is the remainder when q is divided by 10?
9
Suppose -7*i + 2*i + 245 = 0. Let x(m) = -2*m**2. Let h be x(1). What is the remainder when i is divided by h + 2 - (-2 + -23)?
24
Let s be -4 + -1 + 12 + (-5 - -2). Suppose 18 = 3*x - y, -2*x - y - 13 = -4*x. Calculate the remainder when 134 is divided by s/x*85/2.
32
Let p = 57 - 32. Let t = -5116 + 5190. What is the remainder when t is divided by p?
24
Suppose d - 5 = -0. Suppose 4*z - 2*y - 12 = -0*y, 4*z - d*y = 0. What is the remainder when 7 is divided by z?
2
Suppose 0 = -24*p + 19*p + 710. What is the remainder when p is divided by 32?
14
Let x = -170 + 222. What is the remainder when x is divided by 27?
25
Suppose -60 = -3*j - j. Let f(u) = -5*u**2 - 3*u + 3. Let t be f(-4). Let m = t + 124. Calculate the remainder when m is divided by j.
14
Suppose -4*o = -3*b - 157, 4*o + o = b + 210. What is the remainder when 214 is divided by o?
42
What is the remainder when ((-30 - 3) + -5)*-5 is divided by 44?
14
Let o(i) be the first derivative of 3*i**3 + 2 + 1/4*i**4 - 1/2*i**2 + 2*i. Calculate the remainder when 32 is divided by o(-9).
10
Suppose -s + 183 - 16 = 5*v, -3*v = 2*s - 103. What is the remainder when (3 - (1 + 55/10))*-18 is divided by v?
30
Suppose -20*o = -11*o - 99. Calculate the remainder when 14 is divided by o.
3
Suppose w - 3 = -3. Suppose w = 4*g - s - 417, s = 4*g - 3*s - 432. Calculate the remainder when g is divided by 15.
13
Let k = 51 - 6. Suppose 0 = 4*t + g - k, -g = -6*g + 5. Let b(r) = -r**3 + 6*r**2 + 7*r. Calculate the remainder when b(6) is divided by t.
9
Suppose 0 = h + y - 260 - 108, -2*h = -2*y - 748. What is the remainder when h is divided by 11?
8
Let h = 111 - 102. What is the remainder when 41 is divided by h?
5
Suppose 4*w - 2*i - 193 = 25, -3*w + 176 = i. Suppose -4*p = -2*r - 2*r + 128, 5*p = -4*r - 205. Let x = -22 - p. What is the remainder when w is divided by x?
12
Let l(s) = s**3 - 8*s**2 + s + 10. Suppose 0*t = 3*t - 24. Calculate the remainder when l(t) is divided by 10.
8
Let g = 45 - 21. Calculate the remainder when 3*(150/15 - 5/(-1)) is divided by g.
21
Let x(g) = 11*g + 48. Let k be x(-4). Suppose -5*l = 3*j - 46, k*j + 3*l - 4*l = 92. Calculate the remainder when 85 is divided by j.
19
Suppose 46 = 7*m - 255. What is the remainder when m is divided by 22?
21
Suppose -43 = -5*c + 37. Suppose 23*s = 26*s - 177. Calculate the remainder when s is divided by c.
11
Suppose 169*u = 160*u + 27. Let z(j) = -j**2 - 6*j + 2. What is the remainder when z(-4) is divided by u?
1
Let c be ((-2)/6 - (-1)/(-6))*-6. Suppose -4*l = 2*x - 218, 6*l - 217 = 2*l - c*x. What is the remainder when l is divided by 19?
17
Suppose 3*d - 35 = 13. Suppose 9*j - 302 = -113. Suppose -10 = -u + 4*q, -4*u - q = 2*q - j. Calculate the remainder when d is divided by u.
4
Calculate the remainder when (87/(-145))/(2/(-1 + -2389)) is divided by 18.
15
Let c be 242/10 - (-2)/(-10). Suppose c = 6*w - 3*w. What is the remainder when 28 is divided by 60/w*(-12)/(-9)?
8
Let i = -24 - 38. Let f = i + 115. Calculate the remainder when f is divided by 14.
11
Let o be (-273)/(-14) - (-2)/4. Let j be (-8)/(-10)*o/4. Suppose 0*h + 67 = j*g + h, 0 = -4*h - 20. What is the remainder when 35 is divided by g?
17
Suppose 0 = -4*k + 2*r - 2, 4*k + 0 = -r - 11. What is the remainder when 2/(k/3) - (-1806)/21 is divided by 29?
25
Let j = -251 + 376. Suppose 13*t = 8*t + j. What is the remainder when t is divided by 7?
4
Let k(b) = b**2 - 39*b + 286. What is the remainder when 1 - (-6)/(-2) - -47 is divided by k(9)?
13
Suppose 3*g - 210 = y - 4*y, 2*y = -5*g + 146. Calculate the remainder when 264 is divided by y.
60
Let t = -128 - -170. What is the remainder when t is divided by 16?
10
Suppose -124 = 6*b + 242. Let h = 69 + b. What is the remainder when 55 is divided by h?
7
Let n = 235 + 204. What is the remainder when n is divided by 17?
14
Let n(b) = b**3 + 9*b**2 + 7*b. Let m be n(-8). What is the remainder when 127/(42/24 + (-6)/m) is divided by 10?
7
Let u(g) = 2*g**3 + 10*g**2 + 5*g - 7. Let q be u(-4). Suppose q*f + 5*h - 121 = 134, 5*f - 249 = -2*h. Calculate the remainder when f is divided by 26.
23
Let x be -125*(12/3)/(-4). Suppose x = 5*h - 25. What is the remainder when h is divided by 8?
6
Calculate the remainder w