*r + 99. Suppose r = -2*s + 5*s. Calculate the remainder when 32 is divided by s.
10
Let b(s) = 10*s**2 + 3*s + 3. Let x be b(-3). Suppose x = d + 2*d. What is the remainder when d is divided by 10?
8
Let c(h) = h**3 - 2*h**2 - 3*h - 2. Let u be c(3). Let s = 1 - u. What is the remainder when 9 is divided by s?
0
Suppose 5*u + 4*c + 10 = 0, u = 5*c - c + 22. Suppose 2*k - 2*n = 50, 2*n = k - 28 + u. What is the remainder when k is divided by 9?
6
Let g(d) = -6*d**3 - 3*d**2 - d - 1. What is the remainder when g(-2) is divided by 10?
7
Let v(u) = 2*u**2 - 6*u + 6. What is the remainder when v(5) is divided by (-14)/(-21)*3/4*28?
12
Suppose -2*p + 4*y = -58, -4*p - 2*y = -y - 107. What is the remainder when p is divided by 7?
6
Suppose o + 54 = 3*o. Suppose -4*n + 13 = h, -5*n + 8 + o = 5*h. What is the remainder when 14 is divided by h?
4
Suppose 5*t = 8*t - 15. Let u be 49*((-2)/(-1) - 1). Suppose u + 16 = 5*n. What is the remainder when n is divided by t?
3
Let o(s) = s**3 + 10*s**2 + 10*s + 11. Let h be o(-9). Let v = 0 + h. What is the remainder when v is divided by 2?
0
Let f = -7 - -18. Suppose h - f = -2. Calculate the remainder when ((-8)/20)/((-1)/40) is divided by h.
7
Let h be (1 + 1)/(2/4). Suppose 25 = 5*i, -4*i - i = h*v - 65. Calculate the remainder when 17 is divided by v.
7
Let f(q) = q**2 + 6*q + 5. Let t be f(-6). Suppose 0 = t*n, 6*a - a = -4*n + 175. Let k(x) = -2*x + 2. Calculate the remainder when a is divided by k(-5).
11
Let c(u) = 32*u**2 - 3*u + 1. Let h be c(1). Let o = h - 18. What is the remainder when 45 is divided by o?
9
Let p(n) = 17*n**2 - n. Suppose -3*q - 60 = -5*q. What is the remainder when q is divided by p(1)?
14
What is the remainder when 40/32 + 974/8 is divided by 31?
30
Let b be -6 - (3 + -6 - -4). Let r = b + 10. Suppose 50 = 4*k - r*k. Calculate the remainder when k is divided by 13.
11
Suppose 13*o - 6*o - 161 = 0. Calculate the remainder when o is divided by 8.
7
Let r(z) = 4*z + 12. What is the remainder when 80 is divided by r(4)?
24
Suppose -152 = -5*b + b. What is the remainder when 56 is divided by (b/8)/(5/20)?
18
Suppose 4*w - 12 = w. What is the remainder when 14 is divided by w?
2
Let l(k) = -k**3 + 4*k**2 + 3*k + 15. What is the remainder when l(5) is divided by 3?
2
Let o(x) = 2*x**3 + 5*x**2 - 4*x + 4. Let c(y) = 2*y**3 + 6*y**2 - 5*y + 5. Let j(f) = -2*c(f) + 3*o(f). Calculate the remainder when j(2) is divided by 9.
8
Suppose 3*n - 121 = 38. Let r(z) = z**3 - 3*z - 4. What is the remainder when n is divided by r(3)?
11
Suppose 112 = 6*v - 68. Calculate the remainder when v is divided by 8.
6
Let g = -1514 - -836. Calculate the remainder when (-2)/(-4) + g/(-12) is divided by 20.
17
Suppose -3*o - 51 - 51 = -3*x, x - 39 = -4*o. What is the remainder when 103 is divided by x?
33
Suppose -d - 19 = 5*q, 5*d + 1 - 6 = -5*q. Suppose 6*u = 3*u + d. Let c(n) = -n**3 - 6*n**2 + 1. Calculate the remainder when u is divided by c(-6).
0
Let v = 5 + -5. Suppose 3*u - 4 - 26 = v. What is the remainder when u is divided by 3?
1
Suppose -2*t = -4*d - d - 28, -4*t + 100 = d. Suppose -4*r - 9 = 3*x, -5*x - r - r = 15. Calculate the remainder when t is divided by (-39)/(-2)*(-2)/x.
11
Suppose 2*c + 4*c = 90. What is the remainder when 44 is divided by c?
14
Let l be (4/(-10))/(1/(-20)). Let j(u) = 2*u - 9. What is the remainder when 13 is divided by j(l)?
6
Suppose o + 3*o - 76 = 0. Let c = -13 + o. Suppose -4*z = m - c, 3*m - 3 = m + z. What is the remainder when 2 is divided by m?
0
Suppose 0 = 4*h - 2*h - 14. Suppose 2*z - 25 = -h. Let d = -13 - -29. Calculate the remainder when d is divided by z.
7
Let u(w) = w**3 - 3*w**2 + 5. Calculate the remainder when u(4) is divided by 6.
3
Let l(v) = v**2 - 7*v + 5. Let a be l(7). Suppose a*z - 105 = -2*n + 7*n, 2*z = -2*n - 42. What is the remainder when (216/n)/(-4)*7 is divided by 5?
3
Suppose -3 + 11 = 2*b. Suppose 0 = -y + 6 + b. Calculate the remainder when 19 is divided by y.
9
Let f be 201/(-2)*(-12)/(-9). Let h = f - -196. What is the remainder when h is divided by 16?
14
Let o(r) = 10*r - 1. Calculate the remainder when 84 is divided by o(3).
26
Let t = -4 + 8. Suppose 5*a - t + 14 = 0. Let y = a + 8. What is the remainder when 11 is divided by y?
5
Suppose -34 = -3*c + f + 13, 2*c - 34 = -2*f. Let a = -18 - -10. What is the remainder when c is divided by 5 - (-8 - a/2)?
7
Let m = -4 + 5. Let k(r) = -r + 7. Let q be k(6). Suppose q + m = d. What is the remainder when 4 is divided by d?
0
Suppose 5*q + 3*a - 46 = 24, 53 = 3*q + 4*a. What is the remainder when 41 is divided by q?
8
Suppose 5*o + 161 = 12*o. What is the remainder when o is divided by 6?
5
Let k(m) = -1 + 3*m**2 + m + m**2 - 7*m - 1. Calculate the remainder when 63 is divided by k(3).
15
Let n = -65 + 83. What is the remainder when 67 is divided by n?
13
Let u(m) = -m**3 - 6*m**2 + 8*m + 10. Suppose -2 = -q + 5. Calculate the remainder when q is divided by u(-7).
1
Suppose -6*s + 124 - 16 = 0. Calculate the remainder when 87 is divided by s.
15
Suppose 2*m = -4*y + 40, -3*y - 27 = -2*m - 1. What is the remainder when 79 is divided by m?
15
Let t(y) = -y**2 - 7*y - 2. Calculate the remainder when t(-4) is divided by 3.
1
Let u = 46 - 24. Calculate the remainder when u is divided by 12.
10
Let k be (8 - 1)*(-12)/(-14). Let i = 2 + k. Calculate the remainder when 14 + 1 + (-1)/1 is divided by i.
6
Suppose -2*d + 5*j + 7 = 0, 0 = -d - 3*j - 2. Let l(y) be the first derivative of 2*y**3 - 1. What is the remainder when 16 is divided by l(d)?
4
Let t(s) = s**3 - 4*s**2 - 2*s - 6. Let d(f) = f**2 - 7 + 6 + 2*f - f. Let n be d(-3). What is the remainder when 17 is divided by t(n)?
8
Let i(q) = 2*q - 7. Let s = -81 - -131. Calculate the remainder when s is divided by i(12).
16
Let n = 1 - -14. Calculate the remainder when 42 is divided by n.
12
Suppose t - 13 = 3*d + d, 3*t - 69 = -3*d. Calculate the remainder when 2 - (0 + 118/(-2)) is divided by t.
19
Suppose 4*c + 160 = 5*o - 27, 2*c + 5*o + 71 = 0. Let m = c + 92. Calculate the remainder when m is divided by 13.
10
Let b(f) = -f**3 - 9*f**2 - 12*f + 9. Calculate the remainder when b(-8) is divided by 14.
13
Let s = -37 + 57. Calculate the remainder when 77 is divided by s.
17
Let s(n) = 7*n**2. Let m be s(3). Suppose -2*f - 16 = -a - m, 5*f = 5*a + 120. Calculate the remainder when f is divided by 13.
10
Let b be (-10 + 10)*(-1)/(-4). Suppose b = -7*l + 4*l + 60. What is the remainder when 79 is divided by l?
19
Let f be 1 - 2 - -2*30. Suppose f = 2*a + 17. What is the remainder when 40 is divided by a?
19
Suppose -426*o + 430*o = 60. Calculate the remainder when 22 is divided by o.
7
Let m be 2/4*50 - -3. Let a = m - 7. What is the remainder when 81 is divided by a?
18
Let g(n) = -n**3 - n**2 + 3*n - 1. Let u be g(2). What is the remainder when 7 is divided by (-14)/(-2)*(-2)/u?
1
What is the remainder when 17 + 0*2/10 is divided by 5?
2
Let p be -1*(-95*1)/1. Suppose p = 5*k + 3*v, 0*k - k = 4*v - 19. What is the remainder when k is divided by (0 + 2)/((-4)/(-14))?
5
Suppose 4 = 4*a + 104. Let q = a + -1. Calculate the remainder when 34 is divided by (q/(-2) - 1) + 0.
10
Let f be (-2)/3 - 834/(-9). Suppose -a - 2*y = -26, 5*a + 2*y = a + f. Suppose -3*q + 118 = -11. What is the remainder when q is divided by a?
21
Suppose -7 - 21 = -2*g. Suppose -2*c + 53 = -c. What is the remainder when c is divided by g?
11
Let h(r) = 2*r - 12. Let a(g) = g - 6. Let f(z) = -5*a(z) + 2*h(z). Let b(n) = -n**2 - 9*n + 1. Calculate the remainder when b(-9) is divided by f(5).
0
Suppose -5*b = 3*o - 3*b - 23, o + 3*b = -4. What is the remainder when 34 is divided by (4 - 1)/(o/33)?
7
Suppose -4*f = -0*f - 3*a + 35, -3*f = 3*a + 21. Let s = f - -5. Let r(o) = -o**3 - o**2 - 3*o - 3. Calculate the remainder when r(s) is divided by 13.
11
Let p = 59 + -7. What is the remainder when p is divided by 14?
10
Calculate the remainder when 199 is divided by 2/15*6 - (-1255)/25.
46
Let r(j) = j**2 - 7*j - 10. Let i be r(9). What is the remainder when 16 is divided by -2 + (i - (1 - 4))?
7
Suppose 0 = 3*v + 15 - 45. What is the remainder when 21 is divided by v?
1
Let n = -5 + 12. Suppose 130 = -2*p + n*p. What is the remainder when p is divided by 1 - -8*(-3)/(-3)