mainder when 1265/44 - 1/(-4) is divided by b?
5
Suppose 11*a + 655 = 11226. Calculate the remainder when a is divided by 74.
73
Let h be 48/(-10)*(-50)/15. Let v = -6 + h. Suppose 4*b - 116 = -0*b. Calculate the remainder when b is divided by v.
9
Let w(f) = -f**3 - 7*f**2 + 5. Let s be w(-8). Let b = -54 + s. What is the remainder when 43 is divided by b?
13
Let a(x) = 11*x**2 - 14*x - 4. Calculate the remainder when a(11) is divided by 24.
21
Let x be (6/8)/((-12)/(-32))*3. Suppose 2*v = x, v + 218 = 5*r + 2*v. What is the remainder when 169 is divided by r?
40
Suppose 6*s = -12*s + 1872. What is the remainder when s is divided by 5?
4
Suppose -4*n + 0*n - 12 = 0, 3*w = -4*n. Suppose 0 = 3*v - v + w*z - 42, 28 = v - 5*z. Suppose p = 45 + 21. What is the remainder when p is divided by v?
20
Let r(y) = 8*y + 0*y + 6 - 1 + 6*y. What is the remainder when r(3) is divided by 12?
11
Let f(z) = z**3 - 2*z. Let r(m) = -2*m**3 - 13*m**2 - 47*m - 359. Calculate the remainder when f(4) is divided by r(-7).
18
Let m(w) = w**3 - 12*w**2 + 49*w + 31. What is the remainder when m(13) is divided by 10?
7
Let u(a) = 43*a**2 - 8*a + 7. What is the remainder when u(2) is divided by 24?
19
Let d be ((-27)/(-6))/(3/(-30)). Let t = -29 - d. What is the remainder when 78 is divided by t?
14
Suppose 35*i - 329 - 21 = 0. What is the remainder when 25 is divided by i?
5
Suppose -4*f - 2 = 3*j, 3 = -2*f + 11. Calculate the remainder when 41 is divided by (-1 + j)/(12/(-4))*3.
6
Let d = -502 - -515. Calculate the remainder when 2533 is divided by d.
11
Suppose 4*k + 7*t - 92 = 11*t, -k + 39 = -5*t. Calculate the remainder when k is divided by 12.
7
Suppose 0*g - g = 0. Suppose g = r - 0*r. Suppose 4*c - 44 = 4*p, -c - 2*c + 4*p + 32 = r. Calculate the remainder when 46 is divided by c.
10
Let s = 33 + -29. Suppose s*c - 2*c - 134 = 0. Calculate the remainder when c is divided by 23.
21
Suppose -4*h = -5*y + 87, -h + 6 = y - 6. Let c(l) = -l**3 - 29*l**2 + 32*l + 104. Calculate the remainder when c(-30) is divided by y.
14
Suppose -13*v + 184 = -76. What is the remainder when (-2)/(-7) + 1149/21 is divided by v?
15
Let l = -861 - -1255. Calculate the remainder when l is divided by 36.
34
Suppose 0 = 2*y + 2*y - 12. Let c(t) = t**3 + 6*t**2 + 4*t - 4. Calculate the remainder when c(-4) is divided by y.
0
Let q(x) = -6*x + 6. Calculate the remainder when q(-5) is divided by (-3)/(-24) + 5 + 119/8.
16
Suppose 10*x = 18*x - 344. What is the remainder when x is divided by 42?
1
Let b = -27 + 29. Suppose 5*j = -o + 13, -4*o + 30 + 22 = -b*j. Calculate the remainder when (-45)/(-2) - (-1)/2 is divided by o.
10
Let g(m) be the third derivative of m**6/120 + m**5/12 - m**4/6 + 17*m**3/6 + 9*m**2. Calculate the remainder when g(-5) is divided by 9.
1
What is the remainder when 430 is divided by 3 - (2/(-1) - -12) - -79?
70
Suppose -58 - 152 = -15*z. Calculate the remainder when z is divided by (7 - 4)/6*6.
2
Let z = -87 + 102. Let l = -10 - -83. What is the remainder when l is divided by z?
13
Let v(d) = 13*d - 3. Let h(k) = 20*k + 38. Let o be h(-4). What is the remainder when v(2) is divided by (-63)/o + 11/2 + -1?
5
Let c(a) = -1 - 1 - 9*a - 13 - 2. What is the remainder when c(-6) is divided by 13?
11
Suppose 0 = -77*s + 68*s + 99. Suppose 0 = b - q + 4*q - 20, 0 = -5*b + 3*q + 100. What is the remainder when b is divided by s?
9
Let i(z) = -9*z + 274. Calculate the remainder when i(22) is divided by 40.
36
Let s = 57 + 68. Calculate the remainder when s is divided by 21.
20
Suppose -9 = 3*q - 39. Suppose 4*k = -4*k - 32. What is the remainder when 3990/102 + k/34 is divided by q?
9
Let g = 2277 - 2065. Calculate the remainder when g is divided by 54.
50
Let t = 3437 + -1712. What is the remainder when t is divided by 48?
45
Let v be 5 + -1 + (0 - -6). Suppose 0 = 5*p - y - 140, -p + 18 + v = 3*y. Suppose -2*m - 20 = -4*m. What is the remainder when p is divided by m?
8
Suppose -3*b + 34 = -2*b. Let u = -13 + b. Suppose 2*d - u = d. Calculate the remainder when d is divided by 12.
9
Suppose 2*s + 107 + 24 = 5*f, -5*f - 3*s + 116 = 0. What is the remainder when (-6)/12*438/(0 + -3) is divided by f?
23
Let q = 69 + -45. Let n(b) = 2*b**2 + 5*b + 4. Let m be n(-3). Suppose -8*g + q = -m*g. Calculate the remainder when g is divided by 14.
10
Suppose 0 = g + m - 29 - 9, m = 2*g - 76. What is the remainder when g is divided by 8?
6
Let k = 34 - 27. Suppose -k*a - 19 = -369. What is the remainder when a is divided by 18?
14
Let s(d) = -d**3 + 8*d**2 - 4*d + 5. Calculate the remainder when 208 is divided by s(6).
49
Suppose 13*d - 1027 = 429. Calculate the remainder when d is divided by 30.
22
Suppose 8 = 4*m + 2*h + h, -2*m + 4*h = -4. Let k(g) = g**2 + 10*g - 23. What is the remainder when k(-14) is divided by (m - (-33)/9)*3?
16
Suppose -358*z + 346*z = -2628. What is the remainder when z is divided by 56?
51
Suppose 0 = -x + 3, 0 = -25*b + 29*b + 5*x - 503. What is the remainder when b is divided by 32?
26
Suppose 5*v + 3 - 28 = 0. Calculate the remainder when (-2)/(10/(-123)) - (-2)/v is divided by 10.
5
Suppose -6*z + 3*z = -4*h + 183, h - 42 = 2*z. Suppose 3*g - 4*m = -16 - 55, -3*g + 2*m = 67. Let v = g + h. Calculate the remainder when v is divided by 15.
12
Suppose -6978*u + 266 = -6971*u. Calculate the remainder when 569 is divided by u.
37
Suppose t + 2*m - 13 = 0, -3*m + 55 + 10 = 5*t. Calculate the remainder when 348 is divided by t.
10
Suppose -10 = -7*d + 263. Calculate the remainder when 105 is divided by d.
27
Let y(k) = -18*k + 4. Let f(x) = 19*x - 4. Let w(m) = 5*f(m) + 4*y(m). Calculate the remainder when 51 is divided by w(1).
13
Let i(n) = 2*n + 7*n - 2*n**2 + 3*n**2 + 2 - 3*n. Let j be i(-5). Calculate the remainder when 5/((-5)/j) + 21 is divided by 13.
11
Suppose 3*s + 3*i - 60 = 0, -5*s - 3*i = -2*i - 112. Suppose 4*h - 26 = -2*g, h - 55 = -4*h + 5*g. What is the remainder when s is divided by h?
7
Let t(z) = 50*z + 3. What is the remainder when 102 is divided by t(1)?
49
Suppose -q - s + 66 = 0, 0 = 3*q - 5*s - 40 - 134. What is the remainder when 0 - 0 - 20*-2 is divided by (-14)/q + (-128)/(-9)?
12
Let q(f) = -f**3 + 7*f**2 - 5*f - 8. Let w be q(6). Calculate the remainder when 46 is divided by 3/(3/34)*w/(-4).
12
Let o = -210 - -503. What is the remainder when o is divided by 74?
71
Suppose -3*l - 24 = -m, 7*m - 9*m = 3*l - 93. Calculate the remainder when 271 is divided by m.
37
Let h = 2071 + -2051. What is the remainder when 359 is divided by h?
19
Let x(v) = -5*v - 7. Let y(o) = o**3 + 5*o**2 + 4*o + 5. Let u be y(-4). Let n(m) = m - 12. Let r be n(u). Calculate the remainder when 54 is divided by x(r).
26
Suppose 315*f - 310*f - 375 = 0. What is the remainder when f is divided by 18?
3
Let q = 598 + -540. Calculate the remainder when 104 is divided by q.
46
Suppose -2*c - c + 12 = 0. Let v be c/8 - 7/(-2). Suppose 44 - 3 = v*u - 3*o, 27 = 2*u + 5*o. Calculate the remainder when 19 is divided by u.
8
Let g(v) = 2*v**3 + 4*v**2 + 2*v. Let u be g(-2). Calculate the remainder when 32 is divided by (9 + -5)*(-11)/u.
10
Suppose -4*a + 121 - 29 = 2*y, 4*y - 198 = -a. Suppose -2*x = v - 3*x - 13, -3*x = 0. What is the remainder when y is divided by v?
11
Let d(v) = 9*v**2 - 3*v + 9. Let a(h) = 8*h**2 - 2*h + 9. Let k(c) = 4*a(c) - 3*d(c). Calculate the remainder when k(3) is divided by 20.
17
Let o(d) = d**3 - 2*d**2 - d - 6. Let n be o(3). Suppose -3*t + 0*t + 18 = n. Calculate the remainder when t is divided by 3.
0
Suppose -w - 4*a + 193 = 2*w, 2*a - 254 = -4*w. What is the remainder when w is divided by -1*22*(-2 + 1)?
19
Calculate the remainder when 2 + -5 + 3 - -29 is divided by 22.
7
Suppose h - 22 = -h. Let i(m) = -m**3 - 8*m**2 + 5*m - 5. Let y be i(-6). Let s = 113 + y. Calculate the remainder when h is divided by s.
5
What is the remainder when 93 is divided by ((-96)/18)/(-3 - (-75)/27)?
21
Suppose -24*h = -11*h - 52. Suppose 12 = 4*w - 44. Calculate the remainder when w is divided by h.
2
Let d(l) = l**2 - 4*l - 8. Let s be (17 + -2)*(-4)/(-10). Let z be d(s). What is the remainder when 14 is divided by 1 - 1/(z/(-12))?
2
Let a = -3 - -9. Let s(r) = r + 6. Let v be s(a). Suppose 0 = -2*j - b + 21, -j + 2*b = b - v. Calculate the remainde