12
Suppose 0*d + 146 = -d. Let q = 225 + d. Suppose -2*y + 3*g + 49 = 0, 5 = -3*y - 3*g + 56. Calculate the remainder when q is divided by y.
19
Suppose 2*o - 6*o = -5*r + 17, 20 = 5*o + 2*r. Suppose -o*a = 2, 0 = -3*w + 5*a + 18 - 4. Calculate the remainder when 47 + w/(-3 + 0) is divided by 16.
14
Suppose 3*h - c - 5 = 0, -5*h = -c - 3*c - 6. Suppose 5*x = 4*n + h*x - 18, -x + 2 = 0. Suppose 4*f = 2*f + n. Calculate the remainder when 3 is divided by f.
0
Let a = 23 - 8. Calculate the remainder when (-1 - -37)*(-1180)/(-1062) is divided by a.
10
Let j(n) = -5*n - 4*n**2 + 5*n**2 - 22 + 11 - 12. Calculate the remainder when j(11) is divided by 17.
9
Let m be ((-18)/8)/((-48)/(-128)). Suppose 0 = 2*y + 4*d + 10, 2*y = 3*y + 5*d + 17. What is the remainder when 44 is divided by (60/(-8))/(y/m)?
14
Let k(x) = -13*x + 5. What is the remainder when k(-18) is divided by 15?
14
Let c = -23 - -21. Let q(t) = 3*t**2 + t + 2. Let y be q(c). Suppose -k = -y - 3. What is the remainder when k is divided by 4?
3
Suppose 0 = 3*y - m + 5 - 13, 4*y - 10 = 2*m. What is the remainder when 63 is divided by y?
0
Suppose 2*c - 5 = c. Let q = c - 2. Calculate the remainder when 26/q + (-3)/(-9) is divided by 5.
4
What is the remainder when 118 - (4/(-2) - (-20 + 22)) is divided by 34?
20
Let g be (-3)/(-2) + 9/(-6). What is the remainder when 27 - -1 - ((-16)/(-8) - g) is divided by 2?
0
Let v(u) be the first derivative of 3*u**4/4 - 5*u**3/3 + u**2 + 1. Let a be v(3). Suppose 0 = 8*b - 6*b - a. What is the remainder when b is divided by 8?
5
Let n(l) = 3*l**3 + 3*l**2 + 5*l - 4. Let f(g) = 8*g + 16. Calculate the remainder when n(3) is divided by f(3).
39
Let q(h) = 15*h**2 + 234*h + 2. Calculate the remainder when q(-16) is divided by 26.
20
Suppose 0 = -2*z - 10, -4*z + z - 539 = -4*h. What is the remainder when h is divided by 6?
5
Let l be -11*(-2 - 1) + 0. What is the remainder when 39 is divided by 6/l - ((-150)/22 - 1)?
7
Let y(w) = 10*w**2 - 2*w - 1. Suppose 5*a - a = 0. Suppose a = -5*g - 11 + 46. What is the remainder when y(-1) is divided by g?
4
Let l = -142 + 287. What is the remainder when 442 is divided by l?
7
Let k = -353 + 449. Calculate the remainder when k is divided by 25.
21
Suppose 4*h = 4*z + 8*h - 12, z - 15 = -5*h. Suppose -3*o + 5*b + 200 = z, 2*o - 128 = -0*o - 2*b. Calculate the remainder when o is divided by 17.
14
Suppose -4*n = -0*n - 3*v - 42, n = -v + 7. Let h(l) = l**2 + 5*l. Let u be h(-6). Suppose -3*o + u*o = 18. Calculate the remainder when n is divided by o.
3
Suppose -s + 0*s + 4 = 0. Let a be (-1680)/9*(10/(-4) - -1). Suppose a = w + s*w. Calculate the remainder when w is divided by 19.
18
Suppose -1 = 3*j - 5*s, 3*j + j - 42 = -2*s. Calculate the remainder when j is divided by 7.
1
Let o(s) = -s**3 + s**2 - 16*s - 13. Calculate the remainder when o(-7) is divided by 62.
57
Let x(h) = -19*h + 85. What is the remainder when x(-9) is divided by 20?
16
Let w = 15 + 2. Suppose -7 = 4*f + 3*b, f + 5 = 2*b + w. Suppose f*i = -n + i + 14, 5*i = 4*n - 56. Calculate the remainder when n is divided by 8.
6
Let x(p) = 4*p + 1. Suppose 0 = 5*z + 6*w - w, z - w = 10. What is the remainder when z/((-60)/21 - -3) is divided by x(2)?
8
Suppose 3*c + 2*c = -5*j + 60, -c = 3*j - 46. Let w(t) = 11*t - 1. What is the remainder when w(6) is divided by j?
14
Suppose 2*x - 3*x = 2*a - 18, 5*x - 45 = 5*a. Calculate the remainder when 2/6 + 176/3 is divided by 3/(-4)*-10*32/x.
19
Let c = -304 - -357. Suppose m - 3*m - 4 = 0, 4*m = -4*a + 24. Calculate the remainder when c is divided by a.
5
Let k be (-2)/(-6)*(8 - 8). Suppose -4*c + k = -116. Calculate the remainder when c is divided by 6.
5
Let p(q) = q**3 - 12*q**2 + 28*q - 1. What is the remainder when 92 is divided by p(10)?
13
Let l be (-1)/(-5 + -2 + 6). What is the remainder when 19 is divided by (0 + (10 - 5))*l?
4
Let k(h) = h. Suppose 4*l = -0*l. Suppose l = 3*f - 4*c - 25 - 8, 5*f - 55 = 4*c. What is the remainder when 20 is divided by k(f)?
9
Suppose 5*z + 90 - 300 = 0. Suppose -z = -4*w + 50. What is the remainder when (-5 - (-3 + -72)) + -4 is divided by w?
20
Let r be 1/(-3)*30/(-2). Suppose -r*p = -0*p. Suppose -3*c = -4*q - p*c + 37, -q + 22 = -5*c. Calculate the remainder when 12 is divided by q.
5
Let z = 116 + 47. What is the remainder when z is divided by (-166 - -199)/((-1 - 0) + 2)?
31
Suppose 0 = f - 2*f + 2. Suppose -5*t + 106 = -0*c - 2*c, -2*t + 46 = -f*c. What is the remainder when 58 is divided by t?
18
Let p = 66 + -45. Let v = -2301 - -2313. Calculate the remainder when p is divided by v.
9
Let j be ((-4)/6)/(5 - 17/3). Let f = j + 2. Calculate the remainder when 13 is divided by f.
1
Let z be (1 - -2) + (5 - 6). Suppose 60 = -2*n + z*m, 0 = 3*n + n - m + 123. Calculate the remainder when (10 + -7)/((-1)/n) is divided by 24.
21
Calculate the remainder when 38 is divided by (-7)/(35/(-20)) + 25.
9
Let s(m) = -m**3 + 9*m**2 - 5*m + 3. Calculate the remainder when s(6) is divided by 43.
38
Suppose m + 2*c + 4 = 0, 2*m - 13 = -c - 6. What is the remainder when (840/(-9) - 4)*(-9)/m is divided by 50?
46
Suppose 0 = 5*z + 4*p - 889 + 264, -3*p = 5*z - 620. What is the remainder when z is divided by 45?
31
Let g(z) = z + 15. Let k be g(-9). Let q = 26 + -16. Suppose q*d - 232 = k*d. Calculate the remainder when d is divided by 12.
10
Suppose v - 2*p - 3 = -6, -8 = -2*p. Suppose -v*n + 60 = -5*u, 2*n + 3*u + 1 = -0. What is the remainder when 83 is divided by n?
6
Let j(u) = -u**3 + u**2 - 4*u - 1. Let f = 6 - 9. Let l(k) = -5*k - 7. Calculate the remainder when j(f) is divided by l(-3).
7
Suppose 0 = 2*p + 36 - 152. Let f = 81 - 51. Suppose 0 = 3*u - u - f. What is the remainder when p is divided by u?
13
Suppose 0*w = -w + 19. Calculate the remainder when w is divided by (4/(-3) - (3 + -4))*-21.
5
Let r(z) = -34*z + 259. What is the remainder when 35 is divided by r(7)?
14
Let d(l) = l**2 + 18*l - 4. Suppose -5*q - 3*m - 120 = -0*m, 4*q = 4*m - 64. Calculate the remainder when d(q) is divided by 30.
29
Let n be 2/6*0/(-1) - -78. Suppose n = 4*q - 2*s, -q = -4*s - 0*s - 23. Calculate the remainder when q is divided by 6.
1
Let r(t) = t**3 + t**2 - t + 1. Let n(h) = 5*h**3 - 8*h + 9. Let l(y) = -n(y) + 6*r(y). What is the remainder when (-25)/(-125) - (-528)/10 is divided by l(-3)?
17
Let q = 0 - -10. Let t(b) = 2*b**2 + 1. Let l be t(1). Let x = 15 + l. Calculate the remainder when x is divided by q.
8
Let h(a) = 3*a + 9. Let x be h(-4). Let o be (-2)/6 + (-79)/x. Let r = o + 28. Calculate the remainder when r is divided by 14.
12
What is the remainder when (-16)/(0 + 2) + 609 is divided by 4?
1
Suppose -4*j = u - 40, 3*j = 2*u + 3*u + 53. Suppose 0 = 2*b - 3 + 1. Let c = b - -6. Calculate the remainder when j is divided by c.
4
Let x(n) be the second derivative of 31/3*n**3 + 4*n + 0 - 1/2*n**2. What is the remainder when x(1) is divided by 16?
13
Let s = 48 - 19. What is the remainder when s is divided by (-16)/(-72) + 176/18?
9
Let r = 12 - 15. Let m = r - -9. Suppose 189 = -3*t + m*t. What is the remainder when t is divided by 13?
11
Suppose -4*x = -20 - 40. Suppose -63*f + 62*f = -4. What is the remainder when -1 - -59 - (f + -3) is divided by x?
12
Suppose -i + 26 = 3*a + 9, 2*i = 5*a + 23. What is the remainder when 48 is divided by i?
6
Let n = -323 - -737. Calculate the remainder when n is divided by 52.
50
Let g be (9 - 45)*(-10)/6. Suppose -7*q + 11*q = g. Calculate the remainder when 57 is divided by q.
12
Suppose 30*h = 33*h - i - 95, 0 = 4*h - i - 126. What is the remainder when 308 is divided by h?
29
Suppose -7*v + 21 = 7. Suppose -v*n + 1000 = 8*n. Let a(b) = -b**2 + 9*b + 6. What is the remainder when n is divided by a(5)?
22
Let y(i) = -125*i + 17. Calculate the remainder when y(-1) is divided by 13.
12
Let t(c) = c**2 - 3*c + 19. What is the remainder when t(8) is divided by 22?
15
Suppose -3*f + 32 = -49. Suppose -8*b + 1036 = 148. Suppose b = 4*h + f. Calculate the remainder when 39 is divided by h.
18
Let t = 4 + 0. Suppose -1 - 83 = -2*f - z, -4*z - 168 = -t*f. What is the remainder when f is divided by 15?
12
Suppose -5*w + 2*w = -3*p - 384, -3*w = -5*p - 394. What is the remainder when w is divided by 1/(-1) - (-28 - -2)?
23
Let t(n) = -3*n. S