11. What is the remainder when c is divided by d(-10)?
6
Let a(y) = 4*y - 42. Let r be a(11). Suppose r*l - l + 2*d = 45, 189 = 4*l - d. What is the remainder when l is divided by 13?
8
Suppose -4*l - a = -460, -3*a - 218 - 26 = -2*l. Suppose -3*h + s = -l, -6*s = -h - 5*s + 38. Calculate the remainder when h is divided by 20.
19
Let z = 29 + -21. What is the remainder when 47 is divided by z?
7
Let u(z) = 6*z**2 + z + 6. Suppose -31*y + 26*y - 15 = 0. What is the remainder when u(y) is divided by 10?
7
Let i(h) = -4*h**3 - 6*h**2 - 12*h - 8. Calculate the remainder when 80 is divided by i(-2).
8
Suppose 4*v + 25 = 9*v. Let d(g) = 8*g - 2. What is the remainder when d(v) is divided by 10?
8
Let s be (-13 - -8)*(-6)/10. Suppose 2*v = 2*b - 2692, -4*v - 2682 = -2*v + s*b. Calculate the remainder when (-6)/30 - v/20 is divided by 23.
21
Suppose 25*q + 869 = 36*q. Suppose 0 = o + 5*x - 20, o - 2*x = x + 4. What is the remainder when q is divided by o?
9
Let u(i) = 11*i**3 + i**2 - 2*i + 1. Let j be u(1). Suppose 0 = -6*s + j*s - 180. Calculate the remainder when 12/s + 215/3 is divided by 15.
12
Calculate the remainder when (-15)/((-2)/4 + (-6)/24) is divided by 12.
8
Suppose 2*s - 24 = -0*s. Suppose s = -3*b, 3*r - b - 14 = b. Suppose -r*d = -1 - 11. Calculate the remainder when 11 is divided by d.
5
Let o(y) = y**2 + 8*y - 10. Let k be o(-9). Let v be ((-4)/(-8) + -1)*0. Calculate the remainder when 4 is divided by 2/2 + v - k.
0
Suppose 40*i - 2038 - 922 = 0. Calculate the remainder when i is divided by 5.
4
Suppose 6*s - 1292 = -6*y + 10*s, 4*y = -2*s + 852. Calculate the remainder when y is divided by 8.
6
Suppose -5*h + 15 = -3*b, 4*h - 5*b - 25 = -0*b. Suppose h*a - 4*a + 28 = 0. Suppose 10*f - a*f = 108. What is the remainder when f is divided by 13?
10
Suppose -61*c = -2387 + 8. Calculate the remainder when 422 is divided by c.
32
Let j = -116 + 247. Calculate the remainder when j is divided by (-1 - -19) + 10 - 6.
21
Let o(z) = 1 + 215*z - 212*z - 12. What is the remainder when 56 is divided by o(9)?
8
Suppose -4*c - q = -140, 0*q - 3*q = -4*c + 156. Calculate the remainder when 151 is divided by c.
7
Let y(q) be the first derivative of -q**4/2 - 2*q**3 + 5*q**2/2 + 3. Suppose 15 = -v - 2*p, -v = p + 3*p + 25. What is the remainder when y(v) is divided by 19?
18
Suppose j - 6 = -3. Suppose j*t = 2*t + 198. Suppose 0*u - t = -3*u. What is the remainder when u is divided by 23?
20
Suppose -f + 4*f = 0. Suppose f*h + 5*h + 165 = 0. What is the remainder when 93 is divided by h/22*32/(-2)?
21
Suppose -80 = -5*w + 5*j, 4*j + 0*j + 34 = 2*w. Suppose 47 - w = 4*k. Let h(m) = m**3 - 7*m**2 - 4*m - 14. What is the remainder when 89 is divided by h(k)?
17
Suppose 15 = -3*b, b + 11 = 3*n - 2*n. What is the remainder when 117 is divided by n?
3
Let s = 210 + -80. Calculate the remainder when s is divided by 66.
64
Let n(i) = 10*i + 8. Let x be n(-6). Let a = 73 + x. Calculate the remainder when 83 is divided by a.
20
Suppose 28*v + 274 = 30*v. What is the remainder when v is divided by 12?
5
Suppose -136*c = -144*c + 1656. What is the remainder when c is divided by 30?
27
Let x = -21 + 39. What is the remainder when 4/x - 410/(-18) is divided by 13?
10
Let o = 6 - -43. Let r(z) = 18*z**2 + 6*z + 1. What is the remainder when o is divided by r(1)?
24
Suppose -m + 3*z = 3*m - 4, 2*m = -5*z + 2. Let k = -6 - -11. Calculate the remainder when m/((-8 - -4)/(-92)) is divided by k.
3
Suppose -12*l + 539 = -133. What is the remainder when 223 is divided by l?
55
Let r = 170 - 102. What is the remainder when 337 is divided by r?
65
Let p(r) = -2*r**2 - 16*r + 15. Let n(l) = -l**3 + 7*l**2 - 4*l - 20. Let v be n(6). Calculate the remainder when 43 is divided by p(v).
13
Let c = -20 - -28. Let z = 20 + c. Calculate the remainder when z is divided by 5.
3
Suppose -5*i + 198 = 2*h, 64 = h + 5*i - 45. What is the remainder when h is divided by 6?
5
Suppose -2*d - 3 + 9 = 0. Suppose -5*j - k + 9 = -d, -3*j - 4*k = -14. What is the remainder when 6 is divided by j?
0
Let a(m) = m**3 + 11*m**2 + 8*m - 9. Let p be a(-10). Suppose 43 = 2*f - 3*w, f - 2*w + p = -7*w. Calculate the remainder when f is divided by 2.
0
Let l(f) = -f**3 + 6*f**2 + 5*f + 3. Suppose 3*s + 27 = -0*s. What is the remainder when l(5) is divided by s/(3 - 12/3)?
8
Suppose 3*b = -15, 2*w + 15*b - 17*b - 18 = 0. Calculate the remainder when 77 is divided by w.
1
Let l(s) = 2*s**3 + 11*s**2 - 12*s + 5. Let a(u) = 3*u**3 + 11*u**2 - 13*u + 5. Let w(j) = -3*a(j) + 4*l(j). What is the remainder when 57 is divided by w(10)?
12
Let s(i) = -i**3 + 6*i**3 - 4*i**2 - 5*i + 5 - 4*i**3. Let l be s(4). Let j = 27 + l. What is the remainder when j is divided by 7?
5
Let p(g) = -6*g**3 - 13*g**2 + 7*g - 2. Let h(y) = 5*y**3 + 13*y**2 - 6*y + 2. Let n(j) = 5*h(j) + 4*p(j). What is the remainder when n(-13) is divided by 10?
8
Suppose 2*z + 7 - 67 = 0. What is the remainder when (-1 - (-2 - 75)) + -2 is divided by 3/18 - (-565)/z?
17
Suppose 4 - 2 = z. Suppose -z*x = -0*x - 174. Let g(t) = 4*t**3 - 3*t**2 + 6*t - 2. What is the remainder when x is divided by g(2)?
27
Let j = 23 - 3. Suppose -13 + 11 = f. Let t = f + 13. What is the remainder when j is divided by t?
9
Suppose -4*p = q - 22, -18 = -4*p + 2*p + 3*q. Suppose 137 = p*f - 127. Calculate the remainder when f is divided by 12.
8
Let k(g) = 2*g**2 - 46*g - 34. Calculate the remainder when 37 is divided by k(24).
9
Suppose 3*g = 4*n - 2*n + 150, -4*g = 3*n - 200. Let z be (4 + -3 + g)/1. What is the remainder when z + 0*(-1)/4 is divided by 18?
15
Let a be 14 - (40/5)/4. Let m(b) = -b**3 + 13*b**2 + 3*b - 1. Calculate the remainder when m(a) is divided by 20.
19
Let t = 2183 + -2038. What is the remainder when t is divided by 49?
47
Let f(v) = 0*v**2 + v**2 - 9*v - 64 + 80. Let w be f(7). Suppose -k = -10 + w. Calculate the remainder when 30 is divided by k.
6
Let o = 6 - 15. Let n be (3 - 7)/(-4)*o. Calculate the remainder when 47 is divided by (-114)/n - (-4)/(-6).
11
Suppose 774 = 4*i - 2*r, -192 = -0*i - i - r. Suppose 90 = -5*c - 3*u + 399, -3*c + i = -2*u. Calculate the remainder when c is divided by 13.
11
Let h = 34 + -23. Suppose 0 = -4*n + 5*t + 44, 2*n - n - h = 3*t. Let c(a) = -14*a + 1403. Calculate the remainder when n is divided by c(100).
2
Suppose -d + 18 = -0*d - 2*o, -d + 4*o = -28. Calculate the remainder when d is divided by 7.
1
What is the remainder when 31 is divided by (-78)/(-4) + (-20)/40?
12
Suppose -8*p - d = -3*p - 227, -d + 137 = 3*p. Let k = -1 - -4. Suppose -3*z + x = 4*x - p, 0 = -5*z + k*x + 67. What is the remainder when 50 is divided by z?
8
Let b be (-2 + 2)/(-4) - 4. Let v(u) = -u**3 - 3*u**2 + u - 2. What is the remainder when 28 is divided by v(b)?
8
Let x = 742 + -738. Let l(h) = h**3 - 7*h**2 + 8*h - 2. Calculate the remainder when l(6) is divided by x.
2
Let y be -2 + (2 - 0) + -1. Let z(h) = -47*h. Calculate the remainder when z(y) is divided by 16.
15
Suppose 106 - 14 = 2*j. Calculate the remainder when j is divided by 7.
4
Suppose -5*k + 116 + 45 = -4*g, -4*g = k - 37. Suppose 0 = 4*o - 159 - k. Let m = -21 - -34. What is the remainder when o is divided by m?
9
Calculate the remainder when 249 is divided by 7 - ((-90)/(-9))/10.
3
Let a be (-2)/10 + (5424/15)/8. Let v = -17 + a. What is the remainder when v is divided by 16?
12
Let h(i) = 2*i - 2. Suppose 3*z = 8*z + 20. Let b be h(z). What is the remainder when (-1)/((6/3)/b) is divided by 2?
1
Let n = 2 - -1. Suppose 3*d + s = 364, 5*s = n*d + 7 - 347. Calculate the remainder when d is divided by 31.
27
Let l(m) = -26*m - 36. Calculate the remainder when 222 is divided by l(-2).
14
Suppose -2*z = -55 - 47. Calculate the remainder when 298 is divided by z.
43
Suppose 1394 = 76*t - 506. Calculate the remainder when 1122 is divided by t.
22
Suppose 2*i - 126 = -4*i. Calculate the remainder when i is divided by 6.
3
Suppose -11 + 1 = -2*j. Let w(h) = -h**3 + 6*h**2 - 5*h + 6. Suppose 0 = 4*g - 3 - 57. What is the remainder when g is divided by w(j)?
3
Let o(v) = 22 - 5*v**2 - 4*v**3 + 3*v**3 - 7*v + 4*v - 9. What is the remainder when o(-6) is divided by 24?
19
Let k(w) = w**2 + w + 25. Suppose 3*p - 7 - 155 = -3*l, 0 = -l + 5. Calculate the remainder when p