26
Let y(s) = -33*s - 5. Let b(f) = f**2 - 3*f - 8. Let w be 0 - (-6 + 2/(-1)). What is the remainder when y(-4) is divided by b(w)?
31
Suppose l + 4 = -2*u, -l = -5*l + u + 20. Suppose 4*q - 4*k = 2*q + 84, -k + 188 = 5*q. Calculate the remainder when q is divided by 10*(-1)/(-2)*l.
18
Suppose 0 = -3*z + 102 + 300. What is the remainder when z is divided by 38?
20
Suppose 5*b = 2*o + 4, 8 = 37*b - 35*b. Calculate the remainder when 8 is divided by o.
0
Let l(a) = 3*a**3 - 16*a**2 - 11*a + 5. Let k be l(6). Suppose 8*m + 282 = k*m. What is the remainder when m is divided by 25?
19
Let f(o) = -3*o - 2. Let a = -65 + 67. Suppose m = -4*m - a*p + 19, -2*m = -2*p - 2. What is the remainder when f(-2) is divided by m?
1
Suppose -4*u + 4 + 4 = 0. Calculate the remainder when u/(-11) + (-532)/(-22) is divided by 5.
4
Let m(o) be the second derivative of 3*o**5/20 - 2*o**4/3 + o**3/6 + 2*o**2 - 15*o. Calculate the remainder when 63 is divided by m(3).
15
Let m(w) = w**2 + 4*w + 31. Let t(l) = -l**2. Let v(c) = -m(c) - 2*t(c). What is the remainder when v(11) is divided by 16?
14
Suppose 32*s - 96 = 8*s. Calculate the remainder when 179 is divided by s.
3
Suppose -3*u + 2*u = -47. Let l(s) = -s**3 + 3*s**2 + 6*s - 10. What is the remainder when u is divided by l(3)?
7
Let r(a) = -a**3 - 25*a**2 - 15*a + 263. What is the remainder when r(-24) is divided by 12?
11
Calculate the remainder when 574 is divided by (2/(-4))/(5/(-250)).
24
Let f be (2 - 13) + 0/(-2). Let y(v) = 2*v + 50. Let g be y(-13). Let q = f + g. What is the remainder when 23 is divided by q?
10
Let v = 47 + -81. Let s(p) = -p**3 + 13*p**2 + 17*p + 20. Let d be s(14). Let a = d + v. Calculate the remainder when a is divided by 6.
4
Let i = -16 - -28. What is the remainder when 17 is divided by i/(-10)*15/(-3)?
5
Suppose c = -5*o + 18, 5*o - 27 = -47. What is the remainder when 100 is divided by c?
24
Suppose -3*n = 16 + 20. Let f(b) = b + 21. Let q = -2 - -7. What is the remainder when f(n) is divided by q?
4
Let t = 62 + -287. Let z = t + 391. Calculate the remainder when z is divided by 42.
40
Let v = 452 - 327. What is the remainder when v is divided by 18?
17
Suppose 0 = -4*f, -3*g + 2*f - 5 = 1. Let n(a) = a**2 + 1. What is the remainder when 5 is divided by n(g)?
0
Let j be (-3297)/(-49) - (-2)/(-7). Suppose 4*s = 4*c - 72, 4*c - j - 29 = -2*s. What is the remainder when c is divided by 6?
4
Suppose v - 18*t - 12 = -17*t, 2*v - 18 = 4*t. Calculate the remainder when 72 is divided by v.
12
Let u = 117 + -100. What is the remainder when u is divided by ((-15)/(-20))/((-1)/(-12))?
8
Let n = 4 + -2. Suppose -4*d + 218 = -n*d. Calculate the remainder when d is divided by (-208)/(-16) + (19 - 4).
25
Let t(h) = -3*h - 2. Let k be t(-1). Suppose -r = -k, 2*y = 4*y + r + 11. What is the remainder when 34 is divided by (-42)/(-4) + 9/y?
7
Let q(v) = -31*v + 40. What is the remainder when 80 is divided by q(1)?
8
Let j = -8 + 19. Let i(v) = -10*v + 523. What is the remainder when i(46) is divided by j?
8
Let q = -1866 - -1913. Calculate the remainder when 105 is divided by q.
11
Let h be -1 - (4 - 3) - (1 + -8). Suppose 5*n = 3*k - 49, -2*k - h*n - 31 = -4*k. Calculate the remainder when k is divided by 10.
8
Let v be -1*(-4 + 0) - 2. Suppose -v*p = -2*c - 3*c - 11, 0 = -2*p - 2*c + 4. Let d(z) = 18*z - 6. What is the remainder when d(p) is divided by 17?
14
Suppose 0 = 3*k - 3, 4*b + 12 = -k + 5*k. What is the remainder when 24 is divided by b/(-5) - ((-49)/(-35) - 7)?
0
Let p(c) = -c**2 - 7*c + 11. Let x be p(-9). Let b(g) = g**3 + 9*g**2 + 6*g + 8. What is the remainder when b(x) is divided by 11?
9
Suppose h - 3 + 0 = 0, 0 = -g - 5*h + 55. Let m(z) = -z**3 - 2*z**2 - 2*z - 2. What is the remainder when g - (4 - (-3)/(-3)) is divided by m(-3)?
11
Suppose 0 = 3*w - 5*g - 144, -199 - 41 = -5*w - 5*g. Calculate the remainder when w is divided by 7.
6
Let h = 217 + -186. What is the remainder when 524 is divided by h?
28
Suppose -2*s = -8*s - 108. Let i = s - -127. Suppose -2*p - p + 84 = 0. Calculate the remainder when i is divided by p.
25
Let j = -8 + -48. Let g = j - -149. Calculate the remainder when g is divided by 12.
9
Let k = 42 - 268. Let d = -93 - k. Let w = -34 + d. What is the remainder when w is divided by 25?
24
Let s = 74 + -50. Suppose -s - 16 = -8*a. Suppose -165 = -a*q - 0*q. What is the remainder when 96 is divided by q?
30
Suppose 0 = -4*g - 10 - 2, 0 = -u + 3*g + 187. What is the remainder when u is divided by 13?
9
Suppose l + 6*q - 10*q - 52 = 0, -2*l + 156 = 5*q. What is the remainder when l is divided by 35?
33
Suppose 32*v = 27*v + 145. Let a = v + -22. What is the remainder when 33 is divided by a?
5
Suppose 2*j + 4*b = 66, 3*j - 67 = -270*b + 272*b. Let f = -31 + 78. What is the remainder when f is divided by j?
22
Let t(p) = -6 + 3*p**2 - 9*p**2 + p**3 + 0*p**3 + p. Let r be t(6). Suppose r = 4*i - 16. Calculate the remainder when 9 is divided by i.
1
Suppose -3*q - 2*g = 1, 0 = q + 6*g - 7*g - 3. What is the remainder when 1 is divided by q?
0
Suppose -4*y = -m - 0*y + 18, 0 = -4*y - 4. Let f be 5 + (-40)/5 + 7. Calculate the remainder when (-546)/(-10) + f/(20/(-3)) is divided by m.
12
Suppose 2*d = g + 269, -556 = -0*d - 4*d - 4*g. Calculate the remainder when d is divided by 32.
8
Suppose 0 = 25*o - 1032 + 132. Calculate the remainder when (-4)/6*(-318)/2 is divided by o.
34
Suppose -2*g - 3*h + 148 = 0, 4*g + h = -g + 383. Calculate the remainder when g is divided by ((-30)/(-9))/(0 + (-3)/(-18)).
17
Let x = 105 - 70. Suppose -9 = 5*s - 24. Suppose -4*n + 5 = -9*n, s*t + n = 56. What is the remainder when x is divided by t?
16
Let m(r) = -r + 105. Let k = -23 + 23. Calculate the remainder when m(k) is divided by 36.
33
Suppose n - 4*n + 23 = -a, -28 = -4*n + 2*a. What is the remainder when 462 is divided by n?
3
Suppose -9*o = 6*o - 1800. Calculate the remainder when o is divided by 14.
8
Let k(f) = -f**3 - 7*f**2 - 2*f + 26. Let t be k(-6). Suppose t*a + q - 33 = 0, -6*q + 71 = 4*a - 3*q. Calculate the remainder when 108 is divided by a.
10
Let r = -11 - -18. Let c be 34/(-8) - -5 - (-522)/8. Suppose c = -13*w + 15*w. What is the remainder when w is divided by r?
5
Let m(r) = 3*r**2 + 23*r + 7. What is the remainder when m(-9) is divided by 14?
1
Let b = 262 - 232. What is the remainder when 88 is divided by b?
28
Suppose 0 = 4*s - 4*b - 176, b + 60 = 5*s - 140. What is the remainder when s is divided by 7?
4
Let i = -42 + 37. What is the remainder when 197 is divided by i/(6/4*14/(-168))?
37
Suppose -7*t + 161 = -63. Let f(o) = o**3 - 2*o**2 - 6*o + 3. Suppose 5*i = 5, -15 = -3*w - i - 2*i. Calculate the remainder when t is divided by f(w).
10
Let y be (-1 - (-1 - 2))/1 + 2. Suppose 5*r = -y*j + 37, r - 11 + 0 = -2*j. Calculate the remainder when 9 is divided by j.
0
Suppose 5*l - 880 = -6*d + 7*d, -2*d + 340 = 2*l. What is the remainder when l is divided by 11?
10
Let m = -15 - -43. Let f(g) = -g**3 + 6*g**2 - 3*g + 5. Calculate the remainder when m is divided by f(5).
13
Suppose p - 5*r - 1955 = -200, 3518 = 2*p - 2*r. What is the remainder when p is divided by 43?
40
Let s = -16 + 16. Let l(h) = -2*h - 22. Let a be l(s). Let r = 21 - a. Calculate the remainder when r is divided by 11.
10
Let f(a) = -3 + 4*a + 15*a + 6 - 2. Let z(v) = v + 1. Let n be z(0). Calculate the remainder when 39 is divided by f(n).
19
Let j = 23 + -11. Suppose d = -d - 12. What is the remainder when ((-24)/9)/(d/45) is divided by j?
8
Suppose -43 - 56 = -g. Let r(n) = -n**3 + 2*n**2 + 5*n + 4. Calculate the remainder when g is divided by r(-3).
31
Let o = -18 + 18. What is the remainder when 101 is divided by (34/3 + o)*3/2?
16
Suppose 5*m = r + 20 - 102, 5*r + 2*m - 383 = 0. Let t be 2/(-6)*(2 + -2). Suppose t*a - 4*a + 80 = 0. What is the remainder when r is divided by a?
17
Suppose -53*g + 54*g = 81. Calculate the remainder when g is divided by (-21)/(-49) + 81/7.
9
Suppose 2 = 3*z - 22. Let d be (10/z)/(1/(-44)). Let r = d - -79. Calculate the remainder when r is divided by 9.
6
Let o(i) = i**2 + 17*i + 28. Calculate the remainder when 127 is divided by o(-18).
35
Suppose 0 = 2*i - 3*i + 36. Let h be 3 + (20/(-6))/(4/6). Calculate the remainder when i is divided by 38/h*