 -4*a = 4*b - 200, 33 + 102 = 2*b - 5*a. Let n = -38 + b. Calculate the remainder when x(-2) is divided by n.
15
Let g(u) be the second derivative of u**3/6 - 7*u**2 + 2*u. Let l be g(9). Let y(o) = o**2 + 5*o + 5. Calculate the remainder when y(l) is divided by 3.
2
Let p be ((-5)/(-10))/(1/10). Suppose p*y + 27 = -8. Let u(m) = -2*m + 1. What is the remainder when 29 is divided by u(y)?
14
Let n = -33 + 59. Suppose -3*u + 0*j - 2*j + 219 = 0, -240 = -3*u + 5*j. What is the remainder when u is divided by n?
23
Let m = 44 + -31. What is the remainder when 23 is divided by m?
10
Let d be ((-3)/(-2))/(6/16). Suppose -n = -d*n - 3. Calculate the remainder when (-1 - 19)/(n/1) is divided by 11.
9
Let b(s) = -s + 9. Let m(i) = 2*i**2 + i + 1. What is the remainder when m(-3) is divided by b(0)?
7
Suppose 0 = -5*d + 3 + 32. Suppose d = x + 2. Suppose x*l = -4*z + 150, 4*z = -4*l + z + 121. Calculate the remainder when l is divided by 18.
16
Suppose -5*x = 4 - 144. Suppose -h = -3*t - 18, 3*h + x + 2 = -3*t. Let w = t - -11. What is the remainder when w is divided by 2?
0
Suppose 0*m + 2*m = 58. What is the remainder when 53 is divided by m?
24
Let l be 1233/(-63) + (-6)/14. Let b = -13 - l. Calculate the remainder when 26 is divided by b.
5
Let j be 5/((-5)/63) + 0. Calculate the remainder when 27 is divided by (-1*1)/(9/j).
6
Suppose -2*i = 4*g + 14, 4*i - g = i + 14. Suppose 5*d + 2*z = 76, i*d + 2*z + 3*z = 38. What is the remainder when 1/4 - 476/(-16) is divided by d?
14
Let j = 7 + 12. Calculate the remainder when j is divided by 10.
9
Let i = 3 + 1. Suppose 4*f = -4*l + 41 + 19, -5*f = -i*l + 78. Calculate the remainder when l is divided by 6.
5
Suppose -l + 6*v = 3*v - 44, 0 = -5*l + 4*v + 176. Suppose g = -0*g. What is the remainder when l is divided by 11/(-3)*(g - 3)?
10
Suppose 1200 = 4*u + 4*u. Calculate the remainder when u is divided by 51.
48
Let o(r) = -r**2 + 8*r + 1. Let x be o(7). Suppose -i + 43 = x. What is the remainder when i is divided by 12?
11
Let k = 11 - -4. Let m = k - -28. What is the remainder when m is divided by 15?
13
Let m = 135 - 81. Let f(a) = -a - 1. Let b be f(-1). Suppose 4*w - m + 2 = b. Calculate the remainder when 25 is divided by w.
12
Suppose 0 = -2*z + 3*l + 38, 0 = 2*z + 3*z + 2*l - 95. Let s(m) = -m**2 + m + 7. Let t = -10 - -10. Calculate the remainder when z is divided by s(t).
5
Let l(q) = -3*q + 3. Let s = 3 - 6. Calculate the remainder when l(s) is divided by -1 - (-3 - (-10)/(-2)).
5
Let b(l) = -l**2 + 12. Let o be b(0). Let m = -132 + 186. What is the remainder when m is divided by 5 + -3 + o + 0?
12
Let o be 890/15 + 1/(-3). Suppose -o = -3*g - s, g - 5*s - 37 = -s. Calculate the remainder when g is divided by 5.
1
Calculate the remainder when 39/2 + 9/6 is divided by 6.
3
Suppose 3*w - 3*u = 36, 0 = 4*w + 2*u - u - 63. Calculate the remainder when 27 is divided by w.
12
Let c(i) be the third derivative of 2*i**2 + 1/8*i**4 + 1/120*i**6 + 0*i**5 + 0*i - 2/3*i**3 + 0. Calculate the remainder when c(3) is divided by 11.
10
Suppose 27 = 2*r - 25. Calculate the remainder when 51 is divided by r.
25
Let v = -71 + 105. What is the remainder when v is divided by 9?
7
Let r be (-12)/(-1 - 1/(-4)). Suppose -8*q + 3*q + 15 = 0. Suppose -q*m + r = -80. Calculate the remainder when m is divided by 11.
10
Let u(c) = c + 4. Calculate the remainder when 32 is divided by u(3).
4
Let x = 66 + -20. What is the remainder when x is divided by 18?
10
Let o(r) = r**3 + r**2 - 3*r + 4. What is the remainder when o(2) is divided by 3?
1
Suppose -2*f = t - 24, -4*f - 3*t = -f - 33. Calculate the remainder when f is divided by 5.
3
Suppose 2*c - 6*c - 20 = 0, 5*z = -5*c + 225. Suppose -d + 3*d - z = 0. Calculate the remainder when 73 is divided by d.
23
Suppose -3*n = 3*t + 123, -5*t + 2*n - 4*n = 217. Let h(o) = -30*o - 1. What is the remainder when h(-1) is divided by 2/((-1)/(t/6))?
14
Let w(f) be the third derivative of -f**5/60 - f**4/24 + 11*f**3/6 - 2*f**2. What is the remainder when 32 is divided by w(0)?
10
What is the remainder when -4*(-1)/((-1)/(-4)) is divided by (-4)/(-22) - (-485)/55?
7
Let b be 3 + (-3)/(-6)*4. Suppose -2*p + 0*h = b*h + 4, -5 = p + 4*h. Suppose -z + 60 = p*z. Calculate the remainder when 29 is divided by z.
14
Let s = -34 + 61. What is the remainder when (s/(-9))/(6/(-122)) is divided by 16?
13
Suppose -t - 348 = -4*t. What is the remainder when t is divided by 30?
26
Suppose -116 = -4*q + 4*p, -2*q + 0*q = -4*p - 62. Calculate the remainder when q is divided by (-2 + -2)*((-76)/16 - -3).
6
Let a be (6/4)/((-3)/(-44)). Suppose -14 = -i - c, 2*c + a = -3*i + 60. What is the remainder when i is divided by 4?
2
Let d = 3 + 2. Suppose -5 = -3*s - d*k + 2, -2*s = -2*k - 26. Let q = 9 + s. What is the remainder when 53 is divided by q?
17
Let n(p) = 5*p**3 - 2*p + 2. Calculate the remainder when n(2) is divided by 17.
4
Suppose -30 = -2*b + 36. Suppose 0 = 4*a + 12 + 4, 3*f = -5*a + 31. What is the remainder when b is divided by f?
16
Let c(s) = s**2 + 11*s + 14. Calculate the remainder when 53 is divided by c(-11).
11
Calculate the remainder when 2630/50 - (-4)/10 is divided by 9.
8
Suppose 2*y + 5*f - 6 = f, y - 4*f - 3 = 0. What is the remainder when 9 is divided by y?
0
Suppose 18*g - 16*g - 4 = 0. What is the remainder when g is divided by 1?
0
Let x(z) = 15*z - 11. Let c be x(5). Suppose g + c = 5*g. Calculate the remainder when g is divided by 6.
4
Suppose 10*i = 3*b + 5*i - 29, -5*i = -b + 3. Suppose z - p - 4*p + 12 = 0, 12 = 4*p. What is the remainder when b is divided by z?
1
Let x(t) = -t**3 - 12*t**2 - 6*t + 16. What is the remainder when x(-12) is divided by 23?
19
Let x = -4 + 7. Suppose 2*j - 48 = -x*j + v, 5*j - 2*v - 46 = 0. Let r(a) = a**2 - 12*a + 15. What is the remainder when r(13) is divided by j?
8
Suppose -10 = -z - 4*i + 24, -4*z + 5*i = -52. What is the remainder when 53 is divided by z?
17
Calculate the remainder when (-1608)/(-26) + (8 - (-816)/(-104)) is divided by 9.
8
Let k(t) = 6*t**2 + 2*t - 1. Calculate the remainder when 74 is divided by k(-2).
17
Let v(t) = t**2 + 3. Suppose -2*z - 2 = p, 0 = -3*p - 2*z + 6 + 8. Suppose -5*c + c = -p. What is the remainder when v(0) is divided by c?
1
Let m = -27 - -45. What is the remainder when m is divided by 3/(-24)*-10*4*1?
3
Let w = 2 - 7. What is the remainder when 8 is divided by (-30)/w - (1 + 0)?
3
Let g(z) = 5*z**3 - 4*z**2 + 1. What is the remainder when g(3) is divided by 51?
49
Let m(a) = a**2 - 20*a - 3. Calculate the remainder when (3/(-2))/(1/(-22)) is divided by m(21).
15
Suppose -u + 2 - 12 = 3*d, -45 = -4*u + 5*d. Suppose 0*x - 35 = -u*x. Suppose -x*o + 2*o = -110. What is the remainder when o is divided by 12?
10
Suppose -5*s - 25 = 0, 5*c - 13 - 72 = 5*s. Suppose -4*h - 2*j = -119 + 39, -4*h = -5*j - 108. Calculate the remainder when h is divided by c.
10
Suppose -5*o + 4*k = 5*k + 49, -4 = k. What is the remainder when (o/6)/((-9)/132) is divided by 8?
6
Let a be 21/5 + 4/(-20). Suppose 0*d = -a*d. Suppose 0*t + 3*t - 30 = d. Calculate the remainder when 18 is divided by t.
8
Let f = -100 - -48. Let w = -29 - f. Calculate the remainder when w is divided by 12.
11
Let i(p) = -p. Let n(s) = -s**2 + 11*s - 7. Calculate the remainder when n(10) is divided by i(-2).
1
Suppose 6 = -3*p + 5*p. Suppose 140 = c + p*c. Let x = -4 + c. What is the remainder when x is divided by 8?
7
Let d(i) = i + 1 - 11 + 4*i + i. Calculate the remainder when d(9) is divided by 15.
14
Let q(o) = 2 - 3*o + 2*o - 3. Suppose -5*r = 5*u - 110, 0 = 5*r + 4*u - 2*u - 113. What is the remainder when r is divided by q(-9)?
7
Let m(c) = c**2 - 7. Let d be (-9)/6*10/3. What is the remainder when 35 is divided by m(d)?
17
Suppose -h + 6*h = 70. Let d = h - 11. What is the remainder when d is divided by 3?
0
Suppose g = -3*s + 10, 6*s = 2*s - 5*g + 17. What is the remainder when 6 is divided by s?
0
Let l = 19 - 10. Calculate the remainder when 25 is divided by l.
7
Let t(f) = f**3 - 7*f**2 + 3. Suppose 3*k - 1 = 2*d, 0 = -2*d - 2*k - 3*k - 9. Calculate the remainder when 18/(-4)*d + -2 is divided by t(7).
1
What is the remainder when 47 is divided by ((-13)/(-1))/(4/8)?
21
Let o(t) = -2*t - 13. What is the remainder when 8 is divid