b - 4. What is the remainder when q(-5) is divided by 12?
9
Suppose -2*o = 3*h - o - 21, o = -2*h + 14. Suppose 0*c - h*c = -175. What is the remainder when 69 is divided by c?
19
Suppose -3*k = -5*x + 764 + 88, -4*k = 4*x - 688. Let b = -42 - -71. Calculate the remainder when x is divided by b.
26
Suppose 0 = 6*k + 9 - 51. What is the remainder when 67 is divided by k?
4
Let y(f) be the third derivative of -f**4/8 - 5*f**3/6 - 6*f**2. What is the remainder when y(-6) is divided by 7?
6
Suppose -48 = -5*j + 2*j. Let l = 77 + -46. What is the remainder when l is divided by j?
15
Let k(b) = -33*b**3 - b**2 + b + 1. Let h(d) = 29*d + 273. What is the remainder when k(-1) is divided by h(-9)?
8
Suppose -10010 = -53*l + 1120. Calculate the remainder when l is divided by 45.
30
Let k = 18 - 8. Suppose 3*c = -9, -4*p + 33 = -4*c + 5. Calculate the remainder when k is divided by p.
2
Suppose -6*j + 6 = -4*j. Suppose -j*c + 26 = -d + 2*d, 3*c + 20 = d. Let i = -7 + 19. What is the remainder when d is divided by i?
11
Let r(l) = l**3 - 12*l**2 + 39*l + 6. What is the remainder when r(4) is divided by -2 + -5*(-6 + 2)?
16
What is the remainder when ((-2)/2)/((-9)/321)*3 is divided by ((-22)/2)/(2/(-4))?
19
Let s(k) = -6*k - 11. Let j(w) = w**3 - 8*w**2 + 7*w - 5. Let c be j(7). Suppose 216 = 6*z - 2*z. What is the remainder when z is divided by s(c)?
16
Suppose 12*n - 13*n - 4 = -5*m, -5*m - 28 = -3*n. What is the remainder when 62 is divided by n?
14
Suppose 8*z - 143 + 39 = 0. What is the remainder when 374 is divided by z?
10
Let m = 11 + 58. Suppose m*g = 68*g + 12. What is the remainder when 59 is divided by g?
11
Let t(c) = -7*c - 38. Let l be t(-6). Suppose l*o + 30 - 82 = 0. What is the remainder when 22 is divided by o?
9
Let w = 8 + -4. Suppose -w*q - 5*x + 48 = 0, 4*x - 20 = -3*q + 16. Calculate the remainder when 23 is divided by q.
11
What is the remainder when 1 - ((-125)/50)/((-2)/(-76)) is divided by 10?
6
Suppose 5*l = 2*k - 21, 3*k + 6 = 6*k + l. Let v(j) = -22*j**2 - 89*j + 5. What is the remainder when v(-4) is divided by k?
0
Let h = -52 + 37. Let g be (5/h)/((-3)/(-81)). Let j = 32 + g. What is the remainder when j is divided by 12?
11
Let d = 157 - 144. What is the remainder when 506 is divided by d?
12
Let k be (-4 - 1)/(-9 - -10). Let b = k + 8. Calculate the remainder when 19 is divided by 3*(b + (-6)/9).
5
What is the remainder when 55 is divided by (-70)/60 + 273/18?
13
Let v(n) = -57*n - 14. Let q(c) = -18*c - 54. Calculate the remainder when v(-4) is divided by q(-5).
34
Let o(u) = -8*u**3 - u**2 - 5*u + 5. Let f be o(1). Let d(n) = -n**3 + 5*n**2 - 2*n. Calculate the remainder when 2/f - 2990/(-90) is divided by d(3).
9
Suppose 5*c = p + 40, -9 = -3*c + p + 13. Calculate the remainder when 2779 is divided by c.
7
Let f(z) = 3*z**2 + 5. Let u be f(-2). Suppose -19 + u = -m. What is the remainder when 10 is divided by m?
0
Let b = 64 - 29. What is the remainder when 111 is divided by b?
6
Suppose -5*n + 780 = 25*n. Calculate the remainder when 181 is divided by n.
25
Suppose -s = -4*s + 249. Let m = s + -42. What is the remainder when m is divided by 15?
11
Suppose 0 = 7*y - 69 - 92. What is the remainder when 110 is divided by y?
18
Let h = 392 + -333. What is the remainder when h is divided by 17?
8
Suppose 0 = l - 4. Suppose -3*u = -u + l. Calculate the remainder when 25 is divided by (u - -11)/((-2)/(-2)).
7
Let y(u) = -u**2 - 10*u + 16. Let j be y(-9). Suppose -4*s + 5*s = j. Suppose -15 - s = -4*d. Calculate the remainder when 26 is divided by d.
6
Let i = -441 + 3511. What is the remainder when i is divided by 64?
62
Suppose 7*t - 140 = 3*t. Calculate the remainder when 10/50 - 1018/(-10) is divided by t.
32
Let f(u) = 3*u - u**2 + 1 + 5*u**2 - u. Let s = 258 + -235. Calculate the remainder when s is divided by f(-2).
10
Let w = -7 - -10. Let p be (w - (-1 - -3))*756. Calculate the remainder when 4/(-6)*p/(-24) is divided by 11.
10
Suppose 176 - 576 = 8*r. Let s = 54 + r. Calculate the remainder when 12 is divided by s.
0
Let m = 7 - 5. What is the remainder when (-3)/m*-2 + 7 is divided by -6 + (-33 + 6)/(-3)*1?
1
Suppose 0 = 3*v, 8*a - 11*a = 3*v - 237. What is the remainder when a is divided by 41?
38
Suppose -3*h = 12*h - 375. Calculate the remainder when h is divided by 5.
0
Let h(q) = -17 - 7*q - 11*q + 14*q. Calculate the remainder when 34 is divided by h(-9).
15
Let a be (2 + (-1052)/16)*-8. Suppose 2*g - 10 = 0, -8*k + g = -3*k - a. What is the remainder when k is divided by 21?
19
Let q(c) be the first derivative of -c**4 + c**2 - 4*c + 15. Calculate the remainder when 92 is divided by q(-2).
20
Let v = -22 + -68. Let a = -3 - -6. Calculate the remainder when ((-6)/(-5) + 0)*v/(-12) is divided by a.
0
Let q be (-92)/(-20) + (-4)/(-10). Suppose q*v = 4*v + 38. Suppose 0 = -4*i + v + 14. Calculate the remainder when i is divided by 7.
6
Let q(a) = 28*a**2 - a. Let u be (-805)/(-28) - 2/(-8). Suppose u = -l + 2*l. Calculate the remainder when q(-2) is divided by l.
27
Let l be -8 + 8 + 2*4. Let q(p) = p**3 - 8*p**2 + 4*p - 11. Let v = -3 + 11. Calculate the remainder when q(l) is divided by v.
5
Let b = -325 - -332. What is the remainder when 116 is divided by b?
4
Suppose 611*i = 612*i - 537. Calculate the remainder when i is divided by 30.
27
Suppose 33605 + 12380 = 85*q. Calculate the remainder when q is divided by 109.
105
Let u(g) = g**3 - 3*g**2 - 4*g + 12. Suppose -3*y = 3*p, -5*p + 22 = -4*y - 14. What is the remainder when 45 is divided by u(p)?
9
Let v be (6 + -4)*10/(-4). Calculate the remainder when (74/(-6))/(v/15) is divided by 8.
5
Suppose 2*y - 54 = -y. Suppose 38*p - 45*p + 70 = 0. What is the remainder when y is divided by p?
8
Let k(f) = 6*f - 5. Let b(o) = 5*o - 5. Suppose 2*d + 4*d + 36 = 0. Let u(a) = d*k(a) + 7*b(a). Calculate the remainder when 32 is divided by u(-12).
4
Suppose 18 - 12 = 3*w. Suppose -5*t + 3*m + 2*m = -255, -3*t - w*m + 163 = 0. What is the remainder when t is divided by 14?
11
Suppose 257 = 3*n + 2*q, -q = 2*n - 2*q - 183. Let z = -13 - -28. What is the remainder when n is divided by z?
14
Let y = -125 - -81. Let g = y - -23. Calculate the remainder when (-825)/g + 2/(-7) is divided by 10.
9
Suppose -3*b + 0*b = -12. What is the remainder when (-4 - (b + -7))*-90 is divided by 31?
28
Let u be (48/15)/(4/30). Let g = u - 21. Suppose -g*n = n - 72. What is the remainder when 35 is divided by n?
17
Let n be (-32)/12 + 4/6. Let i be (-3)/9*0 - n. Suppose -s - i = -t, 4*s + 0*t - 3*t + 5 = 0. What is the remainder when 3 is divided by s?
0
Suppose 6*b = u + 2*b - 48, -4*u + 192 = 2*b. Calculate the remainder when u is divided by 0 - (-1)/(-2) - (-245)/14.
14
Let s = -176 - -208. What is the remainder when 64 is divided by s?
0
Let h be -1 - (-1 - (-4 - -2)). Let r be 6/12 + h/4. Let x = r - -16. What is the remainder when 30 is divided by x?
14
Calculate the remainder when 209 is divided by (23 + 7)*(-2 + (-19)/(-5)).
47
Suppose -2*l + 24 = f, l = -13*f + 14*f - 27. What is the remainder when 180 is divided by f?
24
Let z(h) = 31*h**3 - 2*h**2 - 6*h + 20. Calculate the remainder when z(2) is divided by 101.
46
Suppose -8*h = -4*h - 312. Suppose 3*c - 84 - h = -w, 5*w = 3*c + 756. What is the remainder when w is divided by 26?
23
Suppose 109 - 43 = 3*p. Calculate the remainder when p is divided by 8.
6
Suppose -4*f + 5*f + 90 = -2*j, -f - 2 = 0. Let i = 52 + j. What is the remainder when 30 is divided by i?
6
Let m(o) be the third derivative of o**4/8 - 5*o**3/3 + 4*o**2. Calculate the remainder when -2 + (-198)/(-5) - (-12)/30 is divided by m(8).
10
Let m(t) = 5*t - 8. Let x be m(2). Let k(o) = o**2 + 5*o + 2. Calculate the remainder when (-1)/((-15)/(-10)*x/(-12)) is divided by k(-5).
0
Let q = 13 - 10. Suppose 2*g - 28 = -3*b, -3*b + 3*g = -b + q. Calculate the remainder when 4/(-10)*(-50)/2 is divided by b.
4
Let y(w) = -4*w**3 - 12*w**2 - 14*w - 4. What is the remainder when y(-4) is divided by 20?
16
Suppose -8*s - 830 + 2486 = 0. Calculate the remainder when s is divided by 54.
45
Let p be (261/(-6))/((-3)/(-4)). Let y = p + 173. Suppose -5*k + y = -40. Calculate the remainder when 122 is divided by k.
29
Let y(b) = b**3 + 5*b**2 - 5*b + 33. Let f = -14 + 29. Cal