
33
Let v be -2 + (0 - -7 - 3). Suppose 0 = w - v - 4. Suppose 0 = -2*r - w + 74. Calculate the remainder when r is divided by 9.
7
Let o be (4 - 6)*(-6)/(-4). Let r = o + 13. Calculate the remainder when 18 is divided by r.
8
Let n(z) = -z**2 - 10*z. Let x be n(-7). Let b = -3 + x. What is the remainder when 35 is divided by b?
17
Let a = -120 + 133. Calculate the remainder when a is divided by 4.
1
Let g(b) = 3*b + 2. Suppose -2*f + 73 - 1 = 2*c, -3*c - 5*f + 116 = 0. What is the remainder when c is divided by g(5)?
15
Suppose -7*w + 48 = -36. Calculate the remainder when 23 is divided by w.
11
Suppose 0 = 15*r - 13*r - 10. What is the remainder when 9 is divided by r?
4
Let p = -112 - -125. Suppose 10*d = 5*d + 245. Calculate the remainder when d is divided by p.
10
What is the remainder when 4/4*-2 + 1 + 68 is divided by 34?
33
Let l(g) = g**2 + 2*g + 1. Suppose c - 12 = 5*c. Let q be l(c). Let j = -2 + q. Calculate the remainder when j is divided by 2.
0
What is the remainder when ((-171)/6)/3*-2 is divided by 11?
8
What is the remainder when 19 is divided by 27/36 - (-82)/8?
8
Let x = -28 + 41. Suppose -x - 2 = -i + 3*y, -2*y = i - 35. Calculate the remainder when i is divided by 10.
7
Let p be (1 + -1 - 3)*1. What is the remainder when 23 is divided by -6*p/((-3)/(-2))?
11
Let d be (-6)/(-5)*(-10)/(-4). Suppose 3*v + 5*a - 35 = 0, v - 3*a = -d*v + 37. What is the remainder when v is divided by 4?
2
Suppose 195 = 3*a - 3. Let y = -41 + a. Calculate the remainder when y is divided by -2 + 3 - -7 - -1.
7
Let z be ((-24)/42)/(4/(-14)). What is the remainder when 30 is divided by 20/(3 - 1) - z?
6
Let l be 33/6 + 2/(-4). Suppose -25 = 2*w - 3*y - 6, 15 = 5*w + l*y. What is the remainder when 36 is divided by w/(-5) + 252/20?
10
Let w be 8/(-12)*(-6)/(-4). Suppose 5*m = 25, -4*t - 2*m + 66 = -0*t. What is the remainder when (-3 - w)*27/(-2) is divided by t?
13
Let d be (-2753)/(-7) - (-6)/(-21). Suppose -j = -4*j + d. Suppose -3*r - 47 = -j. Calculate the remainder when r is divided by 10.
8
Suppose -4*d - 18 = -3*c, -4*d = -c - d + 6. Suppose -12 - 3 = -3*l. Suppose 3*x + p - 34 = -0*x, l = 5*p. What is the remainder when x is divided by c?
5
Suppose -3*o - 3*j + 99 = -7*j, -132 = -4*o + 5*j. What is the remainder when 96 is divided by o?
30
Let s(a) be the first derivative of 4*a - 1/4*a**4 + 2*a**3 - 2 - 3*a**2. What is the remainder when 23 is divided by s(4)?
11
Suppose 81 = 2*x - 5*h, -3*h = -5 - 4. Calculate the remainder when x is divided by 17.
14
Let q(z) = z**2 + 4*z + 2. Let f(p) = p**3 + 15*p**2 - 17*p - 9. Calculate the remainder when f(-16) is divided by q(-4).
1
Let a(p) = p**2 - 6*p + 23. Suppose 0*l + 114 = 2*l. Calculate the remainder when l is divided by a(4).
12
What is the remainder when (6 - 7)*2 + 5 is divided by 4 - (0 + 1) - 1?
1
Let o(j) = -j**3 + 7*j**2 + 7. Let y be o(7). Suppose -2*z + 86 = y*t - 3*t, 98 = 4*t - 2*z. Calculate the remainder when t is divided by 12.
11
Let f = -8 - -13. Suppose -g = f*m - 49, 2*m - g - 2*g - 6 = 0. Calculate the remainder when 17 is divided by m.
8
Let d(a) = a**2 - a + 156. Calculate the remainder when d(0) is divided by 53.
50
Suppose 2*d - 4 + 0 = 0. Suppose -4*f = d*m - 133 + 1, -146 = -4*f + 5*m. Suppose 5*q - 59 = 1. What is the remainder when f is divided by q?
10
Let i(d) = d + 14. What is the remainder when 3 is divided by i(-12)?
1
Let g = -76 - -45. Let a = g - -51. Calculate the remainder when 59 is divided by a.
19
Let n be -2*12/(-8) - -1. Suppose -107 = -n*p - 5*t, -35 = -4*p - 2*t + 63. What is the remainder when 45 is divided by p?
22
Suppose 0 = 4*l - 2*l - 10. Let y be ((-126)/(-15))/(3/(-10)). Let z = -20 - y. Calculate the remainder when z is divided by l.
3
Suppose -1 = -4*a + 3. Let v(g) = -8*g**3 + g**2. Let c be v(-1). Suppose b = -o, 0 = 5*b - 0*b - 4*o - c. What is the remainder when a is divided by b?
0
Let n(c) = c**2 - 7*c + 8. Let t = 18 + -15. What is the remainder when t is divided by n(6)?
1
Let y(d) = -d - 6. Let h = 6 - 14. Let w be y(h). Suppose w*r = 3*r - 1. Calculate the remainder when 1 is divided by r.
0
Let h = 49 + -4. Calculate the remainder when h is divided by 16.
13
Let i(y) = -y**3 + 7*y**2 + 8*y + 9. Calculate the remainder when 15 is divided by i(8).
6
Suppose 3*s + 0 = 9. What is the remainder when 4 is divided by s?
1
Let z(w) = w - 2. Let p be z(1). Let k = p - -21. Calculate the remainder when k is divided by 7.
6
Suppose 74*z - 1295 = 69*z. What is the remainder when z is divided by 65?
64
Let m = 12 + 17. Calculate the remainder when 55 is divided by m.
26
Let i(w) = -w**2 - w + 3. Calculate the remainder when 7 is divided by i(0).
1
Suppose 0 = -2*v + 2*k, -3 = 4*v - 5*k + 2*k. Calculate the remainder when 10 is divided by (v - -1)*(-3 + 1).
2
Suppose j - 8 = 6. What is the remainder when (-8)/(-16)*(108 - 2) is divided by j?
11
Let u(q) = 23*q**3 + 5*q**2 - 5*q + 6. Let h(f) = 22*f**3 + 6*f**2 - 6*f + 7. Let j(c) = -6*h(c) + 7*u(c). What is the remainder when j(1) is divided by 16?
13
Let m = 137 + -120. What is the remainder when 31 is divided by m?
14
Suppose 2*z = 4*z - 36. What is the remainder when 33 is divided by z?
15
Let n be (-1)/(-6) + (-5)/(-6). Let y be (0 + n)*(-3)/(-1). Let s = y - -16. What is the remainder when s is divided by 7?
5
Suppose -2*q + q - 230 = -5*p, 0 = -3*q + 15. What is the remainder when p is divided by 12?
11
Let x be 150/35 - (-2)/(-7). Suppose -g + 15 = x*g. Let y = 3 + -1. What is the remainder when g is divided by y?
1
Let l be 2/(((-8)/(-6))/2). Suppose 5 = c + 4*z + l, -5*c - 3*z + 10 = 0. Let i(v) = 2*v - 5. What is the remainder when i(4) is divided by c?
1
Let z(p) = -4*p**3 - 5 + 2*p**3 + 10*p**2 - 3*p + 3*p**3. Let i = 14 - 24. What is the remainder when z(i) is divided by 9?
7
Suppose 5*y = 2*k - 113, k + 3*y - 37 = -y. Calculate the remainder when 195 is divided by k.
48
Let j = 41 + -25. Suppose 4*a + 4 - j = 0. What is the remainder when 5 is divided by a?
2
Suppose 0 = -4*n + n + 231. Calculate the remainder when (-16)/(-24)*(n - -1) is divided by 18.
16
Suppose 5*v - 45 = -4*t + 18, 3*t = 3*v - 54. Calculate the remainder when 58 is divided by v.
13
Let d(j) = -j**2 + 12*j - 19. Calculate the remainder when d(9) is divided by 5.
3
What is the remainder when ((-21)/(-14))/((-6)/(-88)) is divided by 8?
6
Let k be -1 - (-25 + -2)/(-3). Let l = 0 + -1. What is the remainder when 18 is divided by (1 - k) + l + 0?
8
Suppose -u - 2*j = -2*u - 1, j = 3. Suppose 0 = -2*s + u*s - 15, -5*z = -4*s - 55. What is the remainder when 43 is divided by z?
13
Let c = -47 + 74. Calculate the remainder when 77 is divided by 15/(-2)*(-72)/c.
17
Let b(r) = 28*r**2 - 22*r**2 - r**3 + 10 + 3*r + 5*r. What is the remainder when b(7) is divided by 9?
8
Suppose -5 = 2*l - 3*l. Suppose 0 = 2*h + 3*i - l - 36, 0 = h + 3*i - 13. Suppose 0 = -z + h + 7. Calculate the remainder when z is divided by 12.
11
Let y = 18 - 12. Let l(q) = 3*q**2 + 2*q. Let u(a) = -a - 2. Let n be u(-4). Calculate the remainder when l(n) is divided by y.
4
Let t = -18 - -20. Let f(d) = d**2 - 1. Let a be f(-1). Suppose a*z - t*z + 10 = 0. What is the remainder when 9 is divided by z?
4
Suppose -23*t + 35 = -22*t - 2*i, -i - 175 = -5*t. Let o = 3 - -3. What is the remainder when t is divided by o?
5
Let k = -8 + 22. What is the remainder when k is divided by 8?
6
Let b(w) = w**2 - 3*w - 2. Suppose -g + 2 = 3. What is the remainder when 15/((-6)/(-4) + g) is divided by b(6)?
14
Suppose z = 2 + 1. Suppose -10 = -z*o + 2. Let q(x) = x**2 - x + 3. Calculate the remainder when 43 is divided by q(o).
13
Let y(t) be the third derivative of t**5/60 + t**4/24 + 4*t**2. What is the remainder when 21 is divided by y(-4)?
9
Let i(t) = 3*t + 29. Calculate the remainder when 99 is divided by i(7).
49
Suppose 4*n = 6*n + 2. Let f be 3/((2*n)/(-2)). Let s(w) = 2*w**3 - 3*w**2 - 4*w + 4. Calculate the remainder when s(f) is divided by 7.
5
Calculate the remainder when 75 is divided by 360/14 + (-4)/(-14).
23
Suppose 100 = 4*n - 2*n. What is the remainder when n is divided by 13?
11
Suppose -4 - 2 = 3*u. What is the remainder when 12 is divided by (-3)/6 - 15/u?
5
Let w be (-3 - -1 - -1)*-5. Suppose 3*o = k - 3, w*k + 5*o - 65 = 30. What is t