
Let p = 77 + -53. Let w(k) = 2*k**2 + 11*k + 11. Let r(u) = -6*u**2 - 34*u - 33. Let j(v) = -3*r(v) - 8*w(v). What is the remainder when j(-9) is divided by p?
23
Let w(g) be the third derivative of -g**6/120 + g**5/10 + g**4/3 + g**3 + 2*g**2. Let h(y) = -4*y + 17. Calculate the remainder when h(-8) is divided by w(7).
10
Suppose 5*c + 4 = -16. Let g be (-4)/c*15/1. Suppose -g = -h + 13. Calculate the remainder when 54 is divided by h.
26
Let n(p) be the third derivative of -p**4/4 - 17*p**3/6 - 2*p**2 + p. Let y be (3/(-6))/(2/20). What is the remainder when n(y) is divided by 7?
6
Suppose -4*n + 10 = -3*n. Calculate the remainder when (-670)/(-30) - 1/3 is divided by n.
2
Let d(y) = 8*y**2 + 3*y - 3. Let r be d(-3). Suppose -r = -3*j - 18. Let z(q) = 9*q + 1. What is the remainder when z(6) is divided by j?
13
Let g(m) = 2*m**2 - 7*m - 6. Let f be g(-6). Suppose -3*u = 5*c - f, -c + 4*c = u - 22. What is the remainder when u is divided by 235/15 - 2/(-6)?
15
Suppose -25*m + 26*m = 3. Suppose -4*o = 5*d - 318, m*d - 320 = -4*o - d. What is the remainder when o is divided by 43?
39
Let w = 2921 - 2908. Let f = 1 - 4. Calculate the remainder when ((-50)/f)/(1/3) is divided by w.
11
Let p(x) = -x**3 + 8*x**2 - 5*x + 3. Let j be 2 + -2 - 70/(-5). Suppose 0 = -8*l + 6*l + j. What is the remainder when 49 is divided by p(l)?
15
Suppose -3*k + 5*q - 190 = -8*k, -2*q = -5*k + 225. Calculate the remainder when 125 is divided by k.
39
What is the remainder when -17*(0 + 1)*-1 is divided by (-20)/(-3)*(-2)/((-8)/6)?
7
Let v = 323 + -257. Calculate the remainder when v is divided by 14.
10
Suppose 0 = -8*j + 56 + 8. Suppose -8 = j*q - 416. What is the remainder when q is divided by 9?
6
Let b = 80 - 41. What is the remainder when b is divided by 10?
9
Suppose 4*w = 5*f + 55, -4*w + 12 + 13 = 5*f. Suppose 41*o - 576 = 5*o. Calculate the remainder when o is divided by w.
6
Let p(s) = -s + 9. Let r be 1 - -4*(-3)/(-6). Suppose b + 14 = r*b. What is the remainder when 2 is divided by p(b)?
0
Suppose 6*g + 30 = 11*g. What is the remainder when 75 is divided by g?
3
Let p be (1/(-2))/(6/(-1416)). Calculate the remainder when (p/4)/(4 - 14/4) is divided by 30.
29
Let n(m) = -17*m + 111. Calculate the remainder when 80 is divided by n(6).
8
Let l(h) = 57*h - 9. Calculate the remainder when 143 is divided by l(1).
47
Suppose k - 5 = 2. Let r(q) = -q**3 - 8*q**2 - 26*q - 5. What is the remainder when r(-6) is divided by k/2*(8 + -2)?
16
Let f = 184 + -170. Calculate the remainder when 54 is divided by f.
12
Let k(g) = -g**3 - 13*g**2 - 14*g - 6. Let t be k(-12). Suppose 0 = 3*n - t - 252. Suppose f - 155 = -4*f. What is the remainder when n is divided by f?
28
What is the remainder when (-53940)/(-27) - -3*14/189 is divided by 16?
14
Let j(g) = 15*g**2 + 2*g + 1. Let x be j(-1). What is the remainder when 8 is divided by 44/x + (-3)/21?
2
Let p = -126 - -225. Suppose 0 = -3*j - 3*t + 2*t + 142, 2*j - p = -5*t. Suppose 0*x + 5*x - 60 = 0. What is the remainder when j is divided by x?
11
Suppose 2*b + 4*w = 2*w + 102, 3*b + 2*w = 156. Suppose -2*i + 32 = 2*l, -4*l + b - 12 = 2*i. What is the remainder when 21 is divided by i?
10
Let o be ((-598)/5)/(-2) + 4/20. Suppose 4*w + o = 2*z, -5*z + 28 = w - 78. What is the remainder when ((-2)/(-5))/(2/320) is divided by z?
20
Suppose -2*l + 49 - 11 = 0. Let s = l - 11. Suppose s*m - 28 = 52. What is the remainder when 16 is divided by m?
6
Let l = -65 - -70. Let h(c) = -c + 8. Calculate the remainder when h(0) is divided by l.
3
Let z be ((-48)/(-5))/((-2)/(-110)). Suppose -z = -3*k - k. Suppose 5*q = 9*q - k. Calculate the remainder when q is divided by 12.
9
Let j(a) be the second derivative of -5*a**3/6 + 11*a**2/2 - 3*a. Calculate the remainder when j(-5) is divided by 13.
10
Suppose -7*i + 440 = -750. What is the remainder when i is divided by 169?
1
Let n be 4*(0 - (-14)/8). Let r = n - 4. Suppose 4*o = p + r*p - 88, -4*p + 2*o = -78. What is the remainder when p is divided by 6?
5
Let l(d) be the second derivative of -d**3/3 - 2*d**2 - 14*d. Calculate the remainder when 14 is divided by l(-5).
2
Let a(g) = g**2 - 7*g + 5. Let x be (4/8)/(1/16). Calculate the remainder when 75 is divided by a(x).
10
Suppose -4*f + 20 = 3*x, 3*f = -2*x - 2*f + 18. Suppose 7*p = 3*p + x, 4*m - 49 = -p. What is the remainder when 393/12 - (-1)/4 is divided by m?
9
Let v(q) = 2*q**3 - 47*q**2 - 22*q + 5. What is the remainder when 101 is divided by v(24)?
48
Suppose 40 = 4*a + 4*t, -a + 2*a + 5*t = -2. Let u = 952 - 916. What is the remainder when u is divided by a?
10
Let r = 8894 + -8871. Let p = -125 + 213. What is the remainder when p is divided by r?
19
Let u = 7 - -3. Suppose 135 = -5*j + u*j. Calculate the remainder when 50 is divided by j.
23
Let l(w) be the third derivative of w**6/8 - w**5/20 - w**4/6 + w**3/2 + 12*w**2. Let r be l(3). Calculate the remainder when 14/35 + r/15 is divided by 9.
7
Suppose -2*r = -5*o + 4*o + 31, -2*o + 59 = -r. Suppose d + 17 = o. Calculate the remainder when 41 is divided by d.
5
Let i(v) = v**2 - v + 6. Let p be i(2). Calculate the remainder when 44 is divided by 6*(-1 - 0)*(p - 10).
8
Let m be (8/(-5))/(-1)*5. Suppose 4 = b + 3*t, 4*b - 38 = -2*t + m. What is the remainder when (-4)/22 + 1689/33 is divided by b?
12
Let w = 707 + -664. Calculate the remainder when w is divided by 16.
11
Calculate the remainder when -4 - ((-12)/(-8))/((-18)/1632) is divided by 19.
18
Let j = 35 - 18. Let r(d) = 12*d**2 + d - 1. Let c be r(1). Calculate the remainder when j is divided by ((-63)/(-28))/(3/c).
8
Let g(a) = -3*a - 20. Let r be -3 - (-4 + (0 - 2)). Suppose r = 2*b - 1. What is the remainder when g(-8) is divided by b?
0
Suppose -27*z = -1280 - 1069. What is the remainder when 781 is divided by z?
85
Let b = -38 + 91. Suppose 0 = 6*d + 11 - b. Suppose 8*l = 3*l + 100. Calculate the remainder when l is divided by d.
6
Let b(q) = 28*q - 611. Calculate the remainder when b(26) is divided by 30.
27
Let x(k) = 23*k**2 - 54*k**2 + 7*k - k**3 + 14*k**2 + 14*k**2. What is the remainder when 40 is divided by x(-5)?
10
Suppose 3*d + 217 = 2*d. Let c be (d - 3)/(-2) + -1. Suppose -2*p + c + 57 = 0. Calculate the remainder when p is divided by 21.
20
Suppose -41*l + 36*l + 85 = 0. Calculate the remainder when 32 is divided by l.
15
Calculate the remainder when (3 + -6)/((-3)/464) is divided by 15.
14
Let m = -46 - -97. Suppose s - 4 = -z, z = -2*z + 2*s - 8. Suppose z*o - m = -3*o. What is the remainder when o is divided by 7?
3
Let t be (-39)/(-5) + 8/40. Suppose -316 = -12*p + t*p. Let b = p - 7. What is the remainder when b is divided by 25?
22
Suppose -3*w = -20 + 2. Suppose -w*v + 4*v + 206 = 4*r, 2*v + 226 = 4*r. Calculate the remainder when r is divided by 7.
5
Suppose -9*d - 4*g = -12*d + 367, 20 = -5*g. Calculate the remainder when d is divided by 14.
5
Suppose 14*q - 1973 = 2395. What is the remainder when q is divided by 9?
6
Suppose -4*f + 2*j - 10 = -f, j - 5 = 0. Let t = 28 + f. Let m = t + 45. What is the remainder when m is divided by 25?
23
Let b = 17 - 31. Let o = b - -12. Let t = 6 - o. Calculate the remainder when 22 is divided by t.
6
Let l = 474 + -858. What is the remainder when l/(-56)*14/4 is divided by 4?
0
Suppose -3*d - 6 = -2*a, a = -2*a + 3*d + 12. Suppose -a*j + 68 = -2*j. Let i(c) = -2*c + 8. What is the remainder when j is divided by i(1)?
5
Let x(a) = -a**3 + 15*a**2 - 13*a + 9. Let o(d) = 2*d + 8. Let w be o(3). Calculate the remainder when 43 is divided by x(w).
20
Suppose 5*p - 58 = 2*b, -3*p - 4*b + 37 = -3*b. Suppose -3*r = -57 - p. What is the remainder when 44 is divided by r?
21
Suppose 3*l - 71 = 34. Suppose 0 = 7*z - l - 70. Calculate the remainder when z is divided by (-1)/5 - 82/(-10).
7
Let d(v) = -v**3 - 10*v**2 - 5*v - 14. Let y be d(-10). Suppose 4*f - 36 = y. Calculate the remainder when 51 is divided by f.
15
Suppose x - 8 = -3*q + 9, 4*x + 3*q = 59. Let s = -5 + x. What is the remainder when 26 is divided by s?
8
Suppose v - 22 = -f, -14*f + 5 = -19*f. Calculate the remainder when 38 is divided by v.
15
Let x = -21 + 34. Let k = x + -11. Suppose -3*c + 4*c - 5*w - 16 = 0, 5*c = -k*w + 161. What is the remainder when 91 is divided by c?
29
Let k = -1130 +