t f = 214 - 108. Suppose -3*r + 38 = -f. Calculate the remainder when r is divided by 17.
14
Suppose 0 = 4*z - 55 + 19. What is the remainder when 34 is divided by z?
7
Suppose q + 2 = 5. Suppose h - 9 = -0*h. Calculate the remainder when h is divided by -3 - (-1 - 10) - q.
4
Let t = -8 - -14. Suppose 2*v - i = 121, t*i - 5*i - 313 = -5*v. Calculate the remainder when v is divided by 21.
20
Let t(v) = -v**2 - 6*v + 8. Let b be t(-8). Calculate the remainder when 1 is divided by (b/4)/(-5 - -3).
0
Let h(w) be the third derivative of -w**6/30 + w**5/15 + w**4/8 + w**3/6 - 2*w**2. Calculate the remainder when h(-2) is divided by 15.
13
Let q be 67*-7 - 0/(-4). Let b = 223 + q. Calculate the remainder when 3/(-2)*b/9 is divided by 14.
13
Let g(u) = u**2 - 13*u - 2. Suppose -40 = -5*c + 35. Calculate the remainder when g(c) is divided by 15.
13
Suppose 3*j + 45 = 3*i, 5*j + 39 = 9*i - 6*i. What is the remainder when 29 is divided by i?
11
Let s = 5 - -12. What is the remainder when s is divided by ((-14)/(-6) - -1)*3?
7
Let p = -12 - -8. Let y = p + -101. Calculate the remainder when (-1 - 1) + y/(-3) is divided by 17.
16
Suppose -4 = 2*v - 3*s - 14, -2*s = 0. Suppose -3*a + v*n = -69, 4*a - 92 = -0*n + 3*n. Calculate the remainder when 91 is divided by a.
22
Let f(i) = 2*i**2 - 9*i - 10. Calculate the remainder when 47 is divided by f(7).
22
Let r = 10 - 26. Let o(k) = 9*k + 1. What is the remainder when o(5) is divided by (r/6)/((-7)/42)?
14
Let n be (-18)/(-4)*20/15. Suppose n*r = 3*r + 12. What is the remainder when (6 - -40)*2/r is divided by 8?
7
Let t(g) = -g**2 + 5*g - 2. Let j be t(4). What is the remainder when (4 + -6)/(j/(-28)) is divided by 10?
8
Let k be (5 - 1)*(-1 + 0). Let w(f) = -2 + f**3 + 7*f**2 - f**2 + 3*f - 2. Calculate the remainder when 46 is divided by w(k).
14
Let y = -37 + 64. Suppose -2*f + 5 = -y. What is the remainder when f is divided by 9?
7
Let s = 21 + -14. Let n(x) = x + 5. Calculate the remainder when 23 + 0 + (4 - 4) is divided by n(s).
11
Let j(p) = -28*p + 2. What is the remainder when j(-6) is divided by 43?
41
Let x = -15 - -25. Let a(k) = 3*k + 2. Let l(s) = 2*s + 1. Let b(j) = -3*a(j) + 5*l(j). Calculate the remainder when b(x) is divided by 5.
4
Let x be (-2)/7 - 10/14. Suppose -4*l = 3*s - 29 + 4, 14 = 2*s + 4*l. Calculate the remainder when s is divided by (-8)/x + (-2 - 0).
5
Let c(z) = -7*z**2 - 13*z + 10. Let f(b) = b**2 + b + 1. Let h(q) = -c(q) - 6*f(q). Calculate the remainder when 3 is divided by h(-9).
1
Let j be 1/4 + (-57)/(-12). Suppose -5*r = j, -u + 2*r + 14 = r. What is the remainder when 36 is divided by u?
10
Suppose 5*c = 2*x + 105, -2*c + x - 18 = -61. Suppose -5*g + 16 = -19. What is the remainder when c is divided by g?
5
What is the remainder when (-4)/(-12) - (-2009)/21 is divided by 50?
46
Let z(x) = 23*x**3 + 4*x**2 - 2*x - 1. What is the remainder when z(2) is divided by 49?
48
Let j(t) = -t**2 + t - 1. Let b(z) = -3*z**2 + 15*z. Let y(g) = b(g) - 5*j(g). Let d be y(-7). Let q = 20 + d. What is the remainder when q is divided by 14?
11
Suppose 0 = -3*y - 27 + 72. Suppose 3 - y = -4*q. Let d = q + 1. What is the remainder when d is divided by 2?
0
Let m(h) = -h**2 + 14*h - 8. What is the remainder when m(7) is divided by 5?
1
Suppose -3*p + 20 = 2*x, 5*x - 3*p = -p + 31. Suppose -3*j = 5*l - 25, 23 = 4*l + j + 3. What is the remainder when x is divided by l?
2
Let d(y) = y**3 + 5*y**2 + 2*y - 4. Suppose 4*r - 84 = -2*h + 6*h, 5*r - 4*h = 107. Calculate the remainder when r is divided by d(-3).
7
Let f = -3 + 9. What is the remainder when 21 is divided by f?
3
Suppose l = 3*l. Suppose 3*j = -l*j + 99. Calculate the remainder when j is divided by 12.
9
Let m = -40 + 69. Calculate the remainder when m is divided by 3.
2
Suppose 0 = 2*z - 0*z - 56. Calculate the remainder when 110 is divided by z.
26
Let u(h) = -73*h**3 - h**2 - h. Suppose 4*q = g - 9, 4*q + 70 = 4*g - 14. Calculate the remainder when u(-1) is divided by g.
23
Suppose s = -5*f + 4, s - 22 = 2*f - 4. Let q(k) = -k**2 - 3*k - k**3 - 2 - k**3 - 3*k**2. Calculate the remainder when q(-3) is divided by s.
11
Let n = -588 + 393. What is the remainder when 43 is divided by (n/(-52))/(1/4)?
13
Suppose 228 = 3*c + c. Let s(x) = x**2 + x + 15. Calculate the remainder when c is divided by s(0).
12
Let z = -8 - -18. Suppose 46 = 4*k + q - 26, -90 = -5*k - q. What is the remainder when k is divided by z?
8
Let z be 1 + (3/(-1))/1. Let r = z + 4. Calculate the remainder when 19 is divided by (-5 - r)*(0 - 1).
5
Let y(v) = -v**2 - 2*v - 7. Let x(t) = t**2 + t + 7. Let b(u) = -3*x(u) - 4*y(u). Calculate the remainder when b(-6) is divided by 5.
3
Let b = -10 - -18. Suppose 0*u = u - b. Calculate the remainder when 22 is divided by u.
6
Suppose -9*j - 45 = -f - 12*j, 5*f = 3*j + 189. Calculate the remainder when 74 is divided by f.
35
Let f = -3 - -12. Let u = 3 + 0. Let s = 29 - u. Calculate the remainder when s is divided by f.
8
Let f(v) be the first derivative of -v**2 - 12*v - 2. What is the remainder when 22 is divided by f(-10)?
6
Suppose 59 + 9 = 2*s. What is the remainder when (s - -3) + (3 - 0) is divided by 21?
19
Let s(k) = k - 7. Let y be s(11). Suppose -o = -25 + y. Suppose 3*z + o = 6*z. What is the remainder when 12 is divided by z?
5
Suppose 5*a - 10 = 10. Let g(r) = r + 1. Calculate the remainder when g(10) is divided by a.
3
Calculate the remainder when 52 is divided by 18/(3 + 28/(-12)).
25
Let i be 69/(-21) - (-2)/7. What is the remainder when 12 is divided by i/(-4) - (-75)/12?
5
Let f be (0/(-2))/(2/(-2)). Suppose 17*o - 21*o + 132 = f. What is the remainder when o is divided by 17?
16
Suppose 5*b + 3*p - 18 = 2*b, 5*p = -4*b + 26. What is the remainder when 22 is divided by b?
2
Suppose -22 + 107 = 5*l. Let o(i) = i**3 - 6*i**2 + 6*i + 4. Let x(b) = b**2 - 4. Let n be x(-3). What is the remainder when l is divided by o(n)?
8
Let q(h) = h**2 - h - 1. Calculate the remainder when q(-5) is divided by 16.
13
Let o be -3*(6/3 + -3). Calculate the remainder when 2/o + (-228)/(-9) is divided by 14.
12
Let t be (2 + -3)/((-1)/2). Suppose -u - t = -5. Suppose -2*n - 95 = -8*v + 3*v, u*v - 3*n = 66. Calculate the remainder when 32 is divided by v.
15
Let v = 32 - 3. Calculate the remainder when ((-28)/(-49))/(-2) + (-604)/(-7) is divided by v.
28
Calculate the remainder when (-284)/(-5) + (-6)/(-30) is divided by 15.
12
Let l = 204 + -136. Let v be (-6 + 0)/((-8)/l). Suppose 4*i - i - v = 0. Calculate the remainder when i is divided by 6.
5
Suppose -7*l + 2*l = -30. Let y be (-27)/(-4)*(-8)/1. What is the remainder when 4/18 - 906/y is divided by l?
5
Suppose 1 = 2*y + 25. Calculate the remainder when (y/(-14))/(10/70) is divided by 4.
2
Suppose 2*k - 26 = -4*a, 45 - 10 = 5*a + 3*k. Let l be 1/(-1)*2 + 0. What is the remainder when (-1 - l)/(1/11) is divided by a?
3
Let b = -67 + 99. What is the remainder when b is divided by 13?
6
Let g(z) = z**3 + 5*z**2 + 6*z + 6. Let a be g(-4). Let f(s) = -6*s. Let c be f(a). Let i = c - 2. What is the remainder when 18 is divided by i?
8
Let k(o) = o + 5. Calculate the remainder when 37 + 1/(0 + 1) is divided by k(8).
12
Suppose 0 = -a + 4*o + 5, -3*o - 3 = -0. What is the remainder when 64 + a*(-3 - -4) is divided by 17?
14
Suppose -40 + 9 = -3*a + 5*o, 16 = 3*a - 2*o. Suppose -4*t = -3*w + 2 - 4, w - 3*t = -4. What is the remainder when a is divided by w?
0
Let l be (-3)/(6/2) + 9. What is the remainder when (-1 - l)/((-3)/9) is divided by 14?
13
Suppose 35 - 11 = -3*s. Let d = s + 14. Suppose -39 = -3*m + 9. What is the remainder when m is divided by d?
4
Suppose -a + 24 + 2 = 0. Let y = -13 + a. Calculate the remainder when y is divided by 7.
6
Let v(w) = -w**2 - 7*w - 2. Let z be v(-5). Let o be 2/(3/(-1 + 7)). Calculate the remainder when 22 is divided by z/2 - (-8)/o.
4
Suppose 4*k = -q + 133, k - 11 = 3*q + 6. Calculate the remainder when k is divided by (5 + -4)/((-2)/(-22)).
10
Calculate the remainder when 30 + (-2 - (-4)/4*0) is divided by 7.
0
Let j be ((-344)/(-6))/2*-3. What is the remainder when ((-1)/(-2)*j)/(-1) is divided by 15?
13
Suppose 148*k + 18 = 149*k. Calculate the remainder when k is divided by 16/(-12)*(-15)/2.
8
Let x(u) = u**2 - 16*u + 54. Calcu