4*p - 4*g = -28 - 4, 4*p - 50 = 5*g. What is the remainder when (p/20)/(1/82) is divided by 14?
13
Suppose -10*p = -4*p - 18. Suppose p*k + 2*k = 0. Suppose 4*r + k*r - 16 = 0. Calculate the remainder when 15 is divided by r.
3
Let c(z) = z**3 + 9*z**2 + 15*z + 20. Calculate the remainder when 169 is divided by c(-6).
17
Suppose -3*r = -r - 46. What is the remainder when r is divided by 7*(2 - -3*3/(-9))?
2
Let u = 5665 - 5625. Let s(a) = a**3 + 5*a**2 + 4*a + 1. Calculate the remainder when u is divided by s(-3).
5
Let o(q) = -q**3 - q**2 + 7*q + 6. Suppose 4*a - 3*g - 8 = 10, -4*a = -4*g - 16. Let i = a - 10. Calculate the remainder when 50 is divided by o(i).
24
Let m = 515 + -475. What is the remainder when m is divided by 28?
12
Let y = -105 + 168. What is the remainder when y is divided by 16?
15
Let q(h) = -1. Let f(k) = -k**2 + 11. Let w(d) = -f(d) - 6*q(d). Calculate the remainder when w(-6) is divided by 17.
14
Let o = 2 - 1. Suppose 0 = 3*b - 5 - 1. Suppose -5*p + 38 = b*l, 3*p + 1 = 5*l - o. What is the remainder when 9 is divided by p?
3
What is the remainder when ((-342)/(-90))/(3*1/30) is divided by (0 - -10)*(0 - -1)?
8
Let p(t) = t**2 + 5*t - 5. Let h be p(2). Suppose -h*q = -30 - 60. What is the remainder when 38 is divided by q?
8
Suppose 4*a + 47 - 123 = -2*h, 8 = 2*h. Calculate the remainder when 61 is divided by a.
10
Suppose 0 = 3*l + b - 1061, -l + 2*l - 3*b = 357. Let s = 521 - l. Suppose -3*f + s = 4*n, n = -f + 6*n + 81. What is the remainder when f is divided by 21?
19
Suppose -5*y = -10*y + 2*h - 26, 5*y + 14 = -2*h. Let z be (1/(-2))/(1/y). Calculate the remainder when (z - -1) + 2 + 4 is divided by 5.
4
Let u = 2326 - 2295. Calculate the remainder when 221 is divided by u.
4
Let i(z) = -z**3 + 2*z**2 + 5*z - 2. Let u be i(3). Suppose 11 = 5*k - u. Let j = 24 + -22. Calculate the remainder when k is divided by j.
1
Let s = 29 - 29. Suppose s*f + 2*u - 2 = 2*f, 4*f - 31 = -3*u. Suppose -3*l = 2*q - 48, f*l + 3*q - 53 = 4*q. Calculate the remainder when l is divided by 5.
4
Let r be 1*9*(-63)/(-27). Let x(c) = c**3 - 7*c**2 + 10*c - 4. Let m be x(5). Let j = m + r. Calculate the remainder when j is divided by 9.
8
Suppose -h = 4*a - 19, 3 + 9 = -4*a. Suppose 5*j + u = h, 0*u + 47 = 5*j - 3*u. Calculate the remainder when 26 is divided by j.
5
Let x = 3 + -1. Let n(d) = 6*d**2 + 2. What is the remainder when n(-2) is divided by (x/3)/(2/21)?
5
Let l(g) = 19*g + 1116. Suppose 5*o = 4*o + 53. Suppose 5*a - o = 37. Calculate the remainder when l(-55) is divided by a.
17
Let f(r) = -9*r. Let c be f(3). Let j = -20 - c. Calculate the remainder when 27 is divided by j.
6
Let l = 82 + -28. Suppose 0 = -13*m - 30*m + 602. What is the remainder when l is divided by m?
12
Suppose 429 + 2955 = 18*v. What is the remainder when v is divided by 43?
16
Let k(q) = -20*q + 1. Let x = 30 - 26. Suppose x = 2*z + 4*y, 0*z + 26 = 3*z + 2*y. What is the remainder when k(-1) is divided by z?
9
Let s(t) = -t**3 + 4*t**2 + 3*t. Let d be 4/(-6) - (-149)/3. Suppose x + 3*z - d = 0, -6*x + 3*x = -4*z - 160. What is the remainder when x is divided by s(-2)?
16
Suppose 0 = -5*d - 0*d - 3*b + 75, -33 = -4*d + 3*b. What is the remainder when 53 is divided by 18/(-24) + 225/d?
17
Let v(j) = 2*j**2 + 55*j + 375. What is the remainder when 49 is divided by v(-9)?
7
Suppose 11*c = 19*c - 32. Suppose -c*o = -o - 114. What is the remainder when 75 is divided by o?
37
Let y = 0 - 0. Suppose a = d + 40, -a = 3*d - y*d - 44. Let s(c) = -c**2 - 46*c - 434. Calculate the remainder when a is divided by s(-32).
13
Let f(o) = 8*o - 2. Let a(w) = 24*w - 5. Let g(b) = 4*a(b) - 11*f(b). Calculate the remainder when 49 is divided by g(1).
9
Let c(f) = -2*f**2 + 24*f + 4. Let w be c(11). What is the remainder when 6 is divided by 28/(-182) - (-56)/w?
0
Let d = -34 - -35. Calculate the remainder when d - -1 - (-93 - -2) is divided by 19.
17
Suppose -330 = p - 4*p + 5*i, p = -3*i + 96. Suppose 9*w - p + 24 = 0. What is the remainder when 43 is divided by w?
7
Let g(d) = 28*d. Calculate the remainder when g(1) is divided by ((-6)/4)/(9/(-768)*8).
12
Let j(y) = -4*y + 2. Suppose o - 3 + 8 = 0. Suppose -3*u = 3*g - 240, 7*u + 445 = 5*g + 3*u. What is the remainder when g is divided by j(o)?
19
Let p be 36/21*385/10. Let m be p/8 + 18/24. Suppose m*f - 19 = 8*f. What is the remainder when f is divided by 5?
4
Suppose 339 = -r + 374. Suppose 3*u - j - 311 = 0, u - 4*j - 204 = -u. What is the remainder when u is divided by r?
34
Let h be (-115)/(-2) + (-3)/2. Let o = -15 + 55. Suppose -4*x + 4*g = -h, x = -2*x + 4*g + o. Calculate the remainder when 61 is divided by x.
13
Let n(w) = 2*w + 1. Let j be n(2). Let b(c) = 2*c**2 - 2*c + 6. What is the remainder when b(j) is divided by 16?
14
Let j(g) = -g**2 - 5*g + 16. Let c = -37 - -65. What is the remainder when c is divided by j(-5)?
12
Let x = 344 - 329. What is the remainder when 25 is divided by x?
10
Let a = 351 + -313. Calculate the remainder when 88 is divided by a.
12
Suppose 3*c - 174 = 5*u - 0*u, -4*c + 5*u = -227. Suppose -c = -5*w + 627. Calculate the remainder when w is divided by 35.
31
Let b(i) = -i**3 + 5*i**2 - 5*i + 2. Let w be b(3). Let q = 1093 + -999. Calculate the remainder when q is divided by w*(-16)/(-10)*3.
22
Let r(x) = 6*x**3 + 4*x**2 - 23*x + 71. What is the remainder when r(5) is divided by 18?
14
Suppose 4*a - 383 = -4*z - 11, 5*a - 471 = z. Calculate the remainder when a is divided by 19.
18
Suppose 4002 = 20*k - 8078. What is the remainder when k is divided by 123?
112
Let i(y) = -4*y**3 - 39*y**2 + 9*y - 9. Calculate the remainder when 1 is divided by i(-10).
0
Let s(i) be the third derivative of -1/6*i**3 + 0 + 0*i - 1/24*i**4 - 4*i**2 + 37/60*i**5. Calculate the remainder when s(-1) is divided by 13.
11
Suppose 5*h - 2*f = 2*f + 556, h - 107 = 5*f. Suppose w - 3*i - 128 = 0, -7*i + h = w - 2*i. Calculate the remainder when w is divided by 25.
22
Let w(b) = -67*b**3 + b**2 + b. Let p = -164 + 77. Let q = p - -104. What is the remainder when w(-1) is divided by q?
16
Let v = 28 + -18. Calculate the remainder when (-69)/2*2/(-3) is divided by (-5)/v + 68/8.
7
Let m(n) = -n**2 - 25*n + 264. Calculate the remainder when 195 is divided by m(-32).
35
Suppose 40*n = 46*n - 330. Calculate the remainder when 321 is divided by n.
46
Suppose 3*u - 4*u = -6. Let c(n) = -n + 4. Let j be c(4). Suppose 0 = 3*l - j*l - 3*w - 39, -23 = -2*l + w. What is the remainder when l is divided by u?
4
Let s = -337 + 512. Let h(g) = 6*g**2 - 3*g - 1. Calculate the remainder when s is divided by h(3).
43
Suppose 81 = 4*y - 7*b + 2*b, y + 5*b = 39. Calculate the remainder when 103 is divided by 2*309/y + 3/12.
25
Let o(m) = m**2 + 11*m + 30. Let c be o(-6). Suppose -z + 3*z + 2 = 0, g - 2*z - 6 = c. What is the remainder when 5 is divided by g?
1
Suppose 2*b + 2*b - 15 = -5*m, -5*m = -3*b - 15. Suppose -j - 1 = u - 5, b = 2*u - 2. Let p(q) = 19*q + 4. Calculate the remainder when p(j) is divided by 16.
13
Let q = -5 + 19. Suppose h + h + 12 = -4*o, -2*o = -3*h + q. Suppose h = l - 3*t + 2*t, -3*l + 2*t + 9 = 0. What is the remainder when 17 is divided by l?
2
Suppose -m + 72 = -3*x, 0 = -3*m + 4*x - 5*x + 176. Calculate the remainder when m is divided by 8 - (0/(-9) + (-2 - 18/(-6))).
4
What is the remainder when 172 is divided by (-16)/(((-24)/(-16))/(-3))?
12
Let t(f) = 3*f - 6. Suppose -5*a - 3*h + 67 = -0*h, -2*h = -3*a + 25. What is the remainder when t(12) is divided by a?
8
Suppose -5*r + 6 = 2*z + 2, 5*r = -5*z + 10. Let f(s) = -3 + 13*s - 9 - 2*s**z + s**2 + 0. Calculate the remainder when 28 is divided by f(11).
8
Let q(k) = 12*k + 287. Let m = 34 - -75. What is the remainder when m is divided by q(-23)?
10
Let a = 34 + -16. Let n = a - 1. Calculate the remainder when n is divided by 6.
5
Let j(r) = 22*r - 44. Let m(k) = -7*k + 15. Let p(g) = -2*j(g) - 7*m(g). Calculate the remainder when p(6) is divided by 3.
1
Let w(v) = 3*v**2 + 4*v + 5. Calculate the remainder when (26 - -3)/((-1)/(-5)) is divided by w(-4).
34
Suppose 2*r - 53 = -3*c, 0 + 4 = -c - 5*r. What is the remainder when 45 is divided by c?
3
Let w(j) = 23*j - 49. Calculate the remainder when w(4) is divided by 1.
0
Suppose 0 = 2*g - 3*t - 39 -