uppose 5 = -q, 0 = -w - 4*w - q + 60. What is the remainder when 570 is divided by w?
11
Let k(y) = -14*y**3 + y**2 - y - 13. Calculate the remainder when k(-3) is divided by 9.
8
Let a(o) = -6*o**2 - 41*o - 3. What is the remainder when 348 is divided by a(-6)?
24
Let n = -77 - -67. Calculate the remainder when 20/3*6/5 is divided by n/(-4)*(9/3 + -1).
3
Let q(z) = -3*z**3 - 38*z**2 + 11*z - 17. Let v = -1 + 5. What is the remainder when q(-13) is divided by v?
1
Suppose -22*k = -1241 - 343. Calculate the remainder when k is divided by 21.
9
Let r(j) = -j**3 - 41*j**2 + 45*j + 152. What is the remainder when 83 is divided by r(-42)?
5
Let f(v) be the second derivative of v**4/12 - 2*v**3/3 + 6*v**2 - 2*v. What is the remainder when f(4) is divided by 7?
5
Let f(z) = -z**2 + 21*z + 23. Let y be f(18). Suppose 695 - y = 6*j. What is the remainder when j is divided by 13?
12
Suppose -51 = -2*f + 3*q, 2*q + 10 = -4*f + 104. Calculate the remainder when f is divided by 17.
7
Let r(q) = 111*q**2 - 2*q + 2. What is the remainder when r(1) is divided by 28?
27
Suppose 5*y - 308 = y. Suppose z + 2*z - 68 = -4*b, -3*b + 66 = 3*z. Calculate the remainder when y is divided by z.
17
Suppose 4*p - 5 = -2*t - 1, 4*t = -5*p + 8. What is the remainder when (-9)/6*10/(-3) is divided by 1*(p + 1)*3?
2
Let d = -11 + 15. Suppose -2*u + x = -21, 4*u - d*x = 7*u - 59. Let n = -7 + u. Calculate the remainder when n is divided by 2.
0
Suppose -2*r + 209*f + 2 = 208*f, -5*f + 5 = 5*r. Let h = 14 + -5. Calculate the remainder when h is divided by r.
0
Suppose -4*s = 5*q - 42, -6*s + 3*s + 4*q = -16. Let t = 6 + s. What is the remainder when t is divided by 4?
2
Suppose -3*q + 20 = -q. Suppose -5*m - 5*b - 30 = -q*m, b = -2*m + 27. Suppose 284 = 10*a - 26. Calculate the remainder when a is divided by m.
9
Suppose -5*o - 80 = -4*q, 5*o + 10 = -10. Suppose r - q = -12. Let v = 16 + -8. What is the remainder when v is divided by r?
2
Let v(n) = 39 - n**3 - 42 + 24 + 68. What is the remainder when v(0) is divided by 30?
29
Suppose -7*j - 8 = -36. Let f(q) = -q**2 - 7*q - 2. What is the remainder when f(-5) is divided by j?
0
Let m(l) be the first derivative of -3*l**4/4 - l**3 - 3*l**2/2 + 3*l + 7. Let k(n) = 81*n**2 + n - 1. What is the remainder when k(1) is divided by m(-2)?
18
Suppose -8*z + 2*z = 0. Suppose 5*c - 7 = 4*i, z = -2*c - 2*c - 2*i - 10. What is the remainder when (1/c*17)/(-1) is divided by 9?
8
What is the remainder when (-1*2)/((-8950)/(-690) + -13) is divided by 6?
3
Let p = 1805 - 1694. Calculate the remainder when 318 is divided by p.
96
Let s(k) = -76*k - 1298. Let h(o) = o**3 - 5*o**2 + 3*o. Calculate the remainder when s(-18) is divided by h(5).
10
Suppose 95 = 14*u - 73. Calculate the remainder when 95 is divided by u.
11
Let d = -27 + 134. Suppose -70 = -3*s + d. Calculate the remainder when s is divided by 12.
11
Suppose -1197 + 264 = -5*b + d, -b + 3*d = -181. What is the remainder when b is divided by 45?
7
Suppose 0 = -37*x + 2519 - 558. Calculate the remainder when 147 is divided by x.
41
Let z(d) = -3*d - 6. What is the remainder when 56 is divided by z(-7)?
11
Calculate the remainder when 98 is divided by ((-1)/3)/((-1490)/495 + 3).
32
Let b = 565 - 561. What is the remainder when 18 is divided by b?
2
Let g = 328 + -244. What is the remainder when g is divided by 29?
26
Suppose 19*g - 5*h = 23*g - 17, -2*h = g - 2. Calculate the remainder when 148 is divided by g.
4
Suppose 5*l = -3*v + v + 8, 12 = 3*v - 4*l. Suppose v*h = -2*i - 132 + 706, i - 5 = 0. Calculate the remainder when h is divided by 24.
21
Let b = -6 + 9. Suppose -b*t = a - 3, -3*t - 2*a - 4 = -2*t. Calculate the remainder when 11 is divided by 4 - ((-4)/1)/t.
5
Let w = 405 - 376. What is the remainder when w is divided by 11?
7
Suppose -a = -x - 31, -36*a + 32*a + 121 = -3*x. What is the remainder when 52 is divided by a?
24
Let r(q) = -q**3 + 2*q**2 + 4*q + 15. Suppose 38*k = 44*k. Calculate the remainder when r(k) is divided by 8.
7
Let y = -12 - 18. Let c = -14 - y. Calculate the remainder when (-58)/(-5)*(-10)/(-4) is divided by c.
13
Let i(r) = -r**2 + 12*r + 9. What is the remainder when i(10) is divided by ((-48)/(-6))/((-4)/(-6))?
5
Suppose 43*x + 292 = 1840. Calculate the remainder when x is divided by 10.
6
Suppose -3*t + 3*p + 21 = -0, 0 = -2*t - 4*p + 38. Suppose 0 = -3*c + 13*m - 15*m + 160, 5*m = -5. What is the remainder when c is divided by t?
10
Let i(q) = q**2 - 42*q - 115. Calculate the remainder when 598 is divided by i(45).
18
Suppose 2*i + 5*u + 28 = 0, 4*i - u + 2 = -10. Let w(o) = 2*o**2 + 5*o + 4. What is the remainder when 47 is divided by w(i)?
15
Let y = -53 + 74. Let d = -119 - -131. Let a = y - d. What is the remainder when 15 is divided by a?
6
Let i = 0 + 5. Suppose 0*s + 45 = 3*s + a, 0 = i*a. What is the remainder when 5/(2/(-88)*-4) is divided by s?
10
Suppose -2*z - 18 = -27*a + 24*a, 3*z - 30 = -5*a. What is the remainder when (-8)/2 - (-88)/8 is divided by a?
1
Calculate the remainder when (4/18)/(-2) - 11682/(-162) is divided by 4.
0
Suppose -2*v - 30 - 27 = -5*y, -3*y + 7*v = -40. What is the remainder when 215 is divided by y?
6
Let h(k) = k**3 + 2*k**2 + 10*k + 47. What is the remainder when 295 is divided by h(0)?
13
Let y = 216 + -201. What is the remainder when 209 is divided by y?
14
Suppose 0 = -7*z - 50 + 1. Let n(h) = 2*h**2 + 3*h + 2. What is the remainder when n(-2) is divided by (-2)/z + (-84)/(-49)?
0
Suppose -5*d = 4*m - 159, 0 = 4*d - 7 - 5. What is the remainder when m is divided by 27?
9
Let s = 89 + -82. Calculate the remainder when (118/(-8))/(s/(-28)) is divided by 10.
9
Let t(a) = -a**2 + 14*a - 31. Suppose 7*f - 8*f + 5 = 0. What is the remainder when 48 is divided by t(f)?
6
Suppose -2738 = 47*r - 12279. What is the remainder when r is divided by 6?
5
Let f be (1 - 0/(-1))*-15. Calculate the remainder when 57 is divided by (24/f)/(14/(-105)).
9
Let d(q) be the second derivative of -q**4/12 + 17*q**2/2 - 7*q. What is the remainder when 66 is divided by d(0)?
15
Suppose 0*q = q - 89. What is the remainder when q is divided by (-8)/336*7 + (-187)/(-6)?
27
Let w(i) = i**2 + 3*i - 3. What is the remainder when ((-372)/217)/(0 - (-15)/(-70)) is divided by w(2)?
1
Let g = 62 - 45. Calculate the remainder when 662 is divided by g.
16
Let b = -20 - -46. Suppose 592 = 25*d + 12*d. Calculate the remainder when b is divided by d.
10
Let n(q) = -3*q - 18. Let b(m) = -m**3 - 10*m**2 - 10. Let h be b(-10). Calculate the remainder when 44 is divided by n(h).
8
Suppose 154*z = 184*z - 1350. Let h = -10 + 232. What is the remainder when h is divided by z?
42
Let b(l) = -l + 28. Let m be b(7). Suppose -2*p = p - m. What is the remainder when 53 is divided by p?
4
Suppose -3*j + 9*p = 12*p - 120, 0 = 3*j - 2*p - 120. Calculate the remainder when 234 is divided by j.
34
Suppose 4*c + 4*n - 44 = 2*n, 2*c - 30 = -5*n. Calculate the remainder when 69 is divided by c.
9
Suppose 0*s - 4*s - 5*v = -10, -v + 2 = 3*s. Calculate the remainder when 40/5 - s - -2 is divided by 4.
2
Suppose -6*b - 80 = -10*b. Calculate the remainder when 40 is divided by b.
0
Let m = 223 + -187. What is the remainder when 98 is divided by m?
26
Calculate the remainder when ((-152)/10)/(4/(-10)) is divided by 11.
5
Let z be 67 + -8 - (-2 + 6). Suppose -6*b = -b - z. Calculate the remainder when 348/16 - 6/8 is divided by b.
10
Let w(y) be the second derivative of -y**3/3 + 13*y**2/2 + 11*y. What is the remainder when 120 is divided by w(-9)?
27
Let g(i) be the first derivative of i**4/4 + 8*i**3/3 + i**2/2 + 17*i + 11. Calculate the remainder when 44 is divided by g(-8).
8
Suppose -117*f = -108*f - 162. What is the remainder when 7*5 - 2 - -1 is divided by f?
16
Suppose -2*p = 3*h - 89, -51 = -2*h + p - 4*p. Suppose -3*w - 5*k + 214 + 79 = 0, -4*k = 3*w - 292. Calculate the remainder when w is divided by h.
30
Let b be ((-4)/6)/((-8)/24). Suppose -b*q + 3*q - 158 = -2*z, 2*z = -3*q + 162. Calculate the remainder when z is divided by 20.
18
Let u(s) = s - 11. Let v be u(7). What is the remainder when (-54)/(-180) + (-354)/(-20) is divided by (v/(-6))/((-1)/(-15))?
8
Let j be 30*(3 + 1 + 1 + 0). Suppose j = 2*x + 4*x. Let k(z) = z**2 - z - 3. Calculate the rema