9
Let p(t) = t**2 - 10*t + 19. What is the remainder when 21 is divided by p(8)?
0
Suppose j = -5*t + 29 + 10, 0 = 5*t - 15. What is the remainder when j is divided by 14?
10
Let n be 338/8 + 6/8. Suppose 9 = -2*l + n. Calculate the remainder when l is divided by 9.
8
Let y be (-2)/7 - (-60)/14. Suppose -5*u + 35 = -y*n - n, 4*n + 12 = -4*u. What is the remainder when u is divided by 2?
0
Let p(i) = 2*i**2 - 6*i - 5. Suppose 0*w - 6 = -w. Let f be p(w). Suppose -3*g + 11 + f = 0. What is the remainder when 39 is divided by g?
11
Let p = -32 + 58. Let z = 58 - p. What is the remainder when z is divided by 12?
8
Calculate the remainder when 528/15 - (33/15 + -2) is divided by 4.
3
Suppose 18*w - 271 + 19 = 0. Let u(p) = -6*p**3 - p**2 + 2*p. Calculate the remainder when u(-2) is divided by w.
12
Let n(q) = -28*q - 1. Suppose 8 = 3*v + 5*w, -3*v + 2 = 3*w - 4*w. Let h = 13 + v. Calculate the remainder when n(-2) is divided by h.
13
Let c be (-3)/((-9)/12) + -1. Suppose c*f - 68 = -y, -5*y + 98 = 4*f - 0*f. What is the remainder when 64 is divided by f?
20
Let r(l) = -l**3 - l**2 + l + 4. Let a be r(0). Let p = a + -4. Suppose -w + 4 = p, 0 = 4*u - 3*w - w - 36. Calculate the remainder when 37 is divided by u.
11
Let h(r) = r**2 - 5*r + 1. Let j be h(3). Let v be 1/5 + 6/j. Calculate the remainder when (v/(-2))/(1/20) is divided by 6.
4
Let s(q) = -q**3 + q**2 + q - 3. Let j be s(0). What is the remainder when 34 is divided by 11 - j - (1 + 1)?
10
Suppose 4*k + f = 62, 3*k + 3*f = k + 36. Calculate the remainder when k is divided by 4.
3
Calculate the remainder when (-6)/24 + (-138)/8*-17 is divided by 37.
34
Suppose 2*h - 4*b = 34, 4*h + 2*b - 21 = 57. Calculate the remainder when 54 is divided by h.
16
Let u = -29 + 40. What is the remainder when 19 is divided by u?
8
Suppose -51 = -4*h + 77. Suppose 14*v - 15*v + 17 = 0. Calculate the remainder when h is divided by v.
15
Calculate the remainder when (-2)/8 - (-4476)/48 is divided by 32.
29
Let p(x) = -x + 27. What is the remainder when -1 + 6*78/9 is divided by p(14)?
12
Suppose 2*g - 63 - 11 = -5*k, 0 = g - k - 37. Calculate the remainder when 182 is divided by g.
34
Suppose -24*z - 18 = -27*z. What is the remainder when 16 is divided by z?
4
Suppose 15 = -4*w + 55. Let j = -5 + w. Suppose -13 = j*c - 38. Calculate the remainder when c is divided by 3.
2
Let c = 25 + -12. Let q = c - -12. Let n = 27 + -18. Calculate the remainder when q is divided by n.
7
Suppose 2*f + 3*d = 5*d + 4, 0 = -f - 5*d + 26. Let p(x) be the first derivative of x**3 - 5*x**2/2 - 4*x + 1. What is the remainder when p(f) is divided by 19?
17
Let y be (-16)/4 - (-52)/2. Calculate the remainder when (-22)/(-121) + 216/y is divided by 6.
4
Suppose 3*n = -2*x + 78, -14 = 4*x - 2. What is the remainder when n is divided by 11?
6
Suppose -k + t - 30 = 2*t, 0 = -5*k + 5*t - 120. Suppose -38 = -5*j + 302. Let x = j + k. What is the remainder when x is divided by 11?
8
Let y(o) = -36*o**3 + o**2 - o - 1. Let f(h) = h**3 - h**2 + h + 10. Calculate the remainder when y(-1) is divided by f(0).
7
Suppose -2*b - 5*m = -3*b - 20, -5*b + 3*m - 12 = 0. Suppose b = 2*l + 3 - 23. Calculate the remainder when ((-666)/(-45))/((-4)/(-10)) is divided by l.
7
Let w = 35 - 20. Suppose 0 = -2*d - 2*b - 7 + 19, -2*d - 4*b = -20. Suppose -c + d*s = -4*c + 130, 5*s + 5 = 0. What is the remainder when c is divided by w?
14
Suppose -u - 4*u = -140. Suppose h - 5*a - 5 = 0, 12 + 30 = 4*h + 2*a. Calculate the remainder when u is divided by h.
8
Let n(u) = -u**2 + 9*u + 1. Calculate the remainder when 39 is divided by n(7).
9
Let v be 3/((-30)/4)*-20. Let i(j) = 3 - 3*j - j**2 - 9 + 11*j + 2*j. Calculate the remainder when 29 is divided by i(v).
9
Let k be ((-9)/2)/(3/4). What is the remainder when 1/3 + (-88)/k is divided by 8?
7
Let c(p) = -p**3 + 5*p**2 - 2*p + 3. Let f be c(2). Suppose -k + f = -2. Calculate the remainder when k is divided by 8.
5
Let u = -4 + 11. What is the remainder when (2 + -2 + -26)*-1 is divided by u?
5
Let k(t) = -t**3 + 9*t**2 + t - 1. Let l be k(9). Let g(n) = n**3 - 8*n**2 + 5*n + 2. What is the remainder when g(l) is divided by 11?
9
Let f(v) = -2*v - 3 - 9*v**2 - 2 - 2 - v**3. Suppose -5*p - 46 = -1. What is the remainder when 21 is divided by f(p)?
10
Let a = 150 + -136. Let z(y) = 3*y**2 + 5*y + 5. What is the remainder when z(-5) is divided by a?
13
What is the remainder when 46 is divided by (34 + -2)/(6 + -4)?
14
Suppose -4*p + r = -r - 44, -3*r + 66 = 5*p. Calculate the remainder when 34 is divided by p.
10
Suppose 20 = 2*b + 2*b. Let q(k) = k - 2. Let h be q(b). Suppose -l = 3*n - n - 26, -h*l = -5*n - 89. Calculate the remainder when l is divided by 15.
13
What is the remainder when ((-291)/15)/(2/(-10)) is divided by 25?
22
Let k(d) = 4*d - 3. Let g = -6 + 12. What is the remainder when k(g) is divided by 11?
10
Let b = 141 + -101. Suppose 4*z - 212 = -b. Suppose 3*f - 3*d - z = 23, 2*f + 4*d - 14 = 0. What is the remainder when 50 is divided by f?
16
What is the remainder when (-4 + 3)/(-1) - -68 is divided by 18?
15
Let k = 31 - 12. What is the remainder when 56 is divided by k?
18
Suppose -2*v - 23 + 77 = 0. Let g be 43/((4/(-2))/6). What is the remainder when 12 is divided by 2/9 - g/v?
2
What is the remainder when 6 + 4 + -2 + 6 is divided by 3?
2
Suppose -5*q - 166 - 37 = -4*t, -2*t + q = -97. Calculate the remainder when t is divided by 25.
22
Suppose -5*w = g - 37, -3*g = -0*g - 5*w - 31. Calculate the remainder when g is divided by 9.
8
Let q(i) = -i**3 - 5*i**2 + i - 6. What is the remainder when 45 is divided by q(-6)?
21
Suppose -3*p + 4*p - 3 = 0, 0 = -4*g - 5*p + 35. Suppose -g*u = -63 - 7. What is the remainder when u is divided by 5?
4
Let b = 72 + -12. Suppose 6*j - 2*j = b. Suppose j = -o + 4*o. Calculate the remainder when o is divided by 2.
1
Let i = 51 - 11. What is the remainder when i is divided by 21?
19
Let n(b) = b**3 + 14*b**2 + 13*b + 1. Let i be n(-12). Suppose i = 5*l - 2*k, 0 = 2*l + k + 3*k - 34. Calculate the remainder when 47 is divided by l.
22
Suppose -80 = -4*b - 0*x + x, 4*b - 88 = 3*x. What is the remainder when b is divided by 7?
5
Suppose 1 = 2*x + 3*w - 37, -3*w = -x + 19. Calculate the remainder when 113 is divided by x.
18
Suppose -o + 0 = 5*v + 2, o = 4*v + 25. Suppose -t = -34 + 10. What is the remainder when t is divided by o?
11
Let j = 22 + -17. Suppose -2*b + 4*b + j*l - 1 = 0, -11 = -b + l. Calculate the remainder when 37 is divided by b.
5
Let i = -32 + -67. What is the remainder when (i/(-6))/((-9)/(-12)) is divided by 8?
6
Let j(o) be the second derivative of o**4/6 + o**3/3 + o**2/2 + 4*o. What is the remainder when 34 is divided by j(2)?
8
Let h be (0 - -1)/((-8)/(-640)). Suppose h + 37 = 3*u. Calculate the remainder when u is divided by (-20)/3*-3*1.
19
Let a = -15 - -50. Calculate the remainder when a is divided by 292/16 - (-1)/(-4).
17
Suppose m = 4*a - 441, 5*a = -m + 454 + 104. Suppose -6*f + f = -2*l - 119, -a = -5*f - 2*l. Calculate the remainder when f is divided by 5.
3
Suppose 4*l - 188 = 2*x, -6*l - 2*x = -11*l + 236. What is the remainder when 237 is divided by l?
45
Suppose 3*o + 36 = 9. What is the remainder when 36 is divided by (52/(-6))/(6/o)?
10
Let s(b) = 5*b**2. Let p be s(1). Suppose y + 12 = p*y. Suppose 18 = y*j + 4*o - o, 0 = -j + 2*o + 6. Calculate the remainder when 11 is divided by j.
5
Suppose 3*m + 45 = -3*t + 108, -5*t = -3*m + 87. What is the remainder when m is divided by (-335)/(-25) + 2/(-5)?
11
Suppose a - 12 - 13 = 4*x, -3*x = -5*a + 57. Calculate the remainder when 105 is divided by a.
6
Let o be 9/(-6)*(-16)/12. Suppose -o*a = 0, -3*i + 18 = -3*a - a. Calculate the remainder when i is divided by 3.
0
Let u(m) = 5*m + 2. Calculate the remainder when 46 is divided by u(2).
10
Calculate the remainder when ((-38)/(-8) - -3)*4 is divided by 17.
14
Suppose -2*s + 0*s = 2*o - 14, 0 = -o + 5*s + 37. Suppose -3*u = 2*p - 3*p + 1, -u + 5 = p. Calculate the remainder when u*(-23)/((-2)/2) is divided by o.
11
Let j(b) = b**2 + 5*b + 10. Calculate the remainder when j(-3) is divided by 3.
1
Suppose 3*u - 21 = -6. Suppose 5*r - 21 = 44. What is the remainder when r is divided by u + 0/(3/(-3))?
3
Let o(k) = 12*k**3 - k**2 + 1