 31. Calculate the remainder when 37 is divided by d.
5
Suppose -q - 10 = 2*k - 2*q, 6 = -2*k + 3*q. Let w be 43/(-3) + k/9. Let d = -9 - w. Calculate the remainder when 10 is divided by d.
4
Let u = 9 + -5. Let m = -5 + 7. Suppose -m*r + 6 = -0. Calculate the remainder when u is divided by r.
1
Suppose -4 = -v - 3. Suppose -2*o + 6 = -2*d, 3 = o - 2*d - 0*d. What is the remainder when o is divided by (-1)/(v/(-4)) + -2?
1
Let b = -5 + 10. Suppose -4*z + 45 = g, b*g - 42 = -2*z - 15. Calculate the remainder when z is divided by 7.
4
Let s(y) = y**3 + y - 1. Let f = 30 - 22. What is the remainder when s(3) is divided by f?
5
Let i be 4/2 + (55 - 2). Suppose 0 = -u - 1, i + 19 = 5*m + u. Let f(o) = 11*o. What is the remainder when f(4) is divided by m?
14
Suppose 3*c + 14 = 44. Calculate the remainder when 48 is divided by c.
8
Let n(i) = i**2 + 10*i + 55. Calculate the remainder when n(-15) is divided by 15.
10
What is the remainder when 41*-1*(10 + -11) is divided by 11?
8
Let x = 11 + -5. What is the remainder when 29 is divided by x?
5
Let i = -71 - -101. Let a be 2 + -1 - 17/(-1). Let l = i - a. What is the remainder when l is divided by 7?
5
Let n be (-2 - (3 - 2)) + 7. Suppose 2 - 130 = -n*r. What is the remainder when r is divided by 11?
10
Let o = 39 - 21. What is the remainder when 32 is divided by o?
14
Let y(v) = -v**2 + 14. Let u(p) = 7*p**2 + 2*p. What is the remainder when u(-2) is divided by y(0)?
10
Suppose 2*q = 2, -1 = -b - 2*q + 11. Suppose 0*d + g = d - b, -4*g = -2*d + 16. What is the remainder when 46 is divided by d?
10
Let v(c) = c**3 + 9*c**2 + c + 11. Let o(j) = j**3 + 10*j**2 + j + 1. Let s be o(-10). Calculate the remainder when v(s) is divided by 1.
0
Suppose -6*r + 4*r - 24 = 0. Let v = 23 - r. Let j = -15 + 27. Calculate the remainder when v is divided by j.
11
Let g(r) = -r**2 - 3*r + 2. Let t be g(6). Let j = -29 + 38. Calculate the remainder when t*((-2)/4 + 0) is divided by j.
8
Suppose -u + 4*z + 0 = -3, 3*z = 4*u + 1. What is the remainder when -2 + 2 + u - -57 is divided by 15?
11
Let c be 39/(-9) + 2/6. Let u be (-131)/(-4) + c/(-16). Let o = u - 20. Calculate the remainder when 38 is divided by o.
12
Suppose 0 = 2*a + a - 2*l - 33, 45 = 4*a - 3*l. Suppose -3*i = 5*m + i + 1, -3*i - 27 = -5*m. Calculate the remainder when a is divided by m.
0
Let r be 4/((1/(-12))/(-1)). Suppose r = 4*i + 2*i. Calculate the remainder when 21 is divided by i.
5
Let v = -90 + 42. Let h = 31 + v. Let j = -10 - h. Calculate the remainder when 12 is divided by j.
5
What is the remainder when ((-1)/2)/((-1)/166) is divided by 30?
23
Suppose 3*b = -28 + 175. Let v(r) = 2*r**3 + 2*r - 1. Let n be v(1). Suppose 4*s - n*d = -13 + 72, 3*s - 5*d = 36. What is the remainder when b is divided by s?
15
Suppose 2*n = 2*h - 3 - 3, 3*n + 3*h = 21. Suppose 2*i + n*y - 8 = y, -2*i - 4 = 4*y. What is the remainder when 1 is divided by -2 + -2 + -1 + i?
0
Let r = 125 - 84. Suppose -53 = -6*h + 73. What is the remainder when r is divided by h?
20
Suppose -9*w + 265 = -4*w. What is the remainder when w is divided by 19?
15
Let d be (-10)/(-3) + 6/9. Suppose 4*p + w = -w + 122, d*p = -3*w + 121. Calculate the remainder when p is divided by 11.
9
Let l be 2 + 1 - 2 - -1. Suppose -5*m - 65 = -5*u, -u = l*m - 4*m - 15. Let k = 26 - 6. Calculate the remainder when k is divided by u.
9
Suppose 4*t - 6 = 2, 5*o = 5*t + 20. Suppose o*c + 1 - 79 = 0. Calculate the remainder when c is divided by 4.
1
Suppose -3*d + 4*g + 124 = 0, 0 = -0*d + 2*d - 4*g - 76. Calculate the remainder when d is divided by 25.
23
Let o = 66 - 35. Calculate the remainder when o is divided by (-6)/(-33) + (-348)/(-22).
15
Suppose -15*g + 10*g = 0. Suppose l - 15 + 10 = g. Calculate the remainder when 14 is divided by l.
4
Suppose 0 = -8*n - 3 + 67. Calculate the remainder when 38 is divided by n.
6
Let n be (15 - 12) + 2 + -1. Suppose 0 = 3*p - n*r - 52, p - 24 = -2*p - 3*r. Calculate the remainder when p is divided by 3.
0
What is the remainder when 29 is divided by 28/(-21)*(1 + (-51)/6)?
9
Let v = 16 - -38. Calculate the remainder when v is divided by 28.
26
Let i = 10 - 114. Let o = -56 - i. Calculate the remainder when o is divided by 17.
14
Let l(p) = p**3 + 9*p**2 - 2*p. What is the remainder when 33 is divided by l(-9)?
15
What is the remainder when 69 is divided by (20/(-12) + 1)*-15?
9
Suppose -d = -17 - 32. Calculate the remainder when d is divided by 17.
15
Let y = -79 - -45. Let t = y - -59. Suppose -12 = 5*b - 2*c - 71, 3*c = -5*b + 74. Calculate the remainder when t is divided by b.
12
Let y be 2 - (0 + -2) - 3. Let h be (y - 1/1)/1. Suppose i = -h*i + 14. Calculate the remainder when 27 is divided by i.
13
Let n(l) = l**2 + 6*l + 12. What is the remainder when n(-10) is divided by 18?
16
Let z(a) = a**3 + a**2 - a + 1. Let t be z(1). Suppose -3*l = t*o - 7 - 16, 2*o = -2*l + 26. What is the remainder when o is divided by 357/39 - (-4)/(-26)?
7
Let k = 7 - 4. Suppose -66 = -k*t + 3*x - 4*x, 5*x = 5*t - 110. Suppose 3*w + 0*w + u = 188, -4*w - 5*u + 236 = 0. What is the remainder when w is divided by t?
20
Suppose 4*b - 2*w - 48 = -0*w, 4*b - 4*w - 40 = 0. Calculate the remainder when 136 is divided by b.
10
Calculate the remainder when 3 + (-1)/((-3)/87) is divided by 18.
14
Let l(b) = b. Let q be l(4). Suppose q*j = -j + 130. Let w = 9 - -5. Calculate the remainder when j is divided by w.
12
Let a(g) = 2*g + 4. Let w be a(6). Suppose -3*r + 2*i = w, i = r - 3*i + 2. What is the remainder when (-366)/r + 0/2 is divided by 21?
19
Let d = 19 + -4. Calculate the remainder when 117 is divided by d.
12
Let y(d) = -2*d**3 - 3*d**2 + 7*d + 6. Let h be y(-4). Suppose 5*j + 18 = h. What is the remainder when 23 is divided by j?
7
Let w be (-26)/(-7) - 6/(-21). Let p be (-112)/5 - w/(-10). Calculate the remainder when (1 + -4)/(3/p) is divided by 8.
6
Let o(t) = -t**3 - 3*t**2 + 6*t + 3. Let x be o(-4). Let h = 1 - x. Calculate the remainder when h is divided by (-29)/(-9) - 12/54.
0
Let m be (-24)/2*33/(-22). Let h = 14 + -10. Suppose h*w - m = 2*w. Calculate the remainder when 16 is divided by w.
7
Suppose -2*d - 5*t = -33, -4*d - 7*t + 91 = -2*t. What is the remainder when 113 is divided by d?
26
Let o(z) = -z + 2. Let x be o(4). Let p(c) = -c**3 + 13*c**2 + 12*c + 29. What is the remainder when p(14) is divided by 1 - 2 - (x - 0)?
0
Let y(v) = 2*v**2 - 2*v - 4. Let d = -13 + 18. Let w be y(d). Suppose -i + 4*q - 13 = -w, 0 = 5*i - 4*q - 35. What is the remainder when 5 is divided by i?
2
Let p = -54 + 80. Suppose 2*v + v = 4*u + 25, v - 19 = 4*u. Suppose -v*w - 5 = k - 22, k - 2*w = 12. What is the remainder when p is divided by k?
12
Let i(c) = c - 4. Let v be i(4). Suppose v = -2*q - 0*q + 10. Suppose s + s = 4. What is the remainder when q is divided by s?
1
Calculate the remainder when 79 + -6*(-2)/(-3) is divided by 19.
18
Let z(t) be the third derivative of t**5/60 + 3*t**4/8 + t**3/6 - 2*t**2. Calculate the remainder when 8/((3/4)/3) is divided by z(-10).
10
Suppose -t = -4*r - 2, 0 = 2*t + 5*r - 3 - 1. Let a = t - -4. Let j = 10 - a. Calculate the remainder when j is divided by 3.
1
Let t(g) = -g**3 + 3*g**2 - 2*g. Let d be t(3). Calculate the remainder when 20 is divided by (-42)/4*d/9.
6
Suppose 4*d - 131 = -d - 3*r, -r - 3 = 0. What is the remainder when 193 is divided by d?
25
Let p = 7 - 2. Suppose 0 = p*v - 48 - 42. What is the remainder when 34 is divided by v?
16
Let q be (-2)/(-4)*(-6 + 6). Suppose 5*c - 1 + 56 = q. Let x = 15 + c. What is the remainder when x is divided by 2?
0
Suppose 4*m - 30 = 10. Calculate the remainder when 96/(-20)*m/(-2) is divided by 9.
6
Suppose a - 24 = -2*a. Let y = 0 + a. Let m = 5 - 2. What is the remainder when y is divided by m?
2
Let o = -17 - -9. Let j = o + 14. Calculate the remainder when j is divided by (-60)/(-18)*12/10.
2
Suppose 4*f - f + 5 = 2*d, -5*f = -25. Let n(q) = -11*q**3 + 2*q**2 - 2*q + 1. Let p be n(1). Let k = p + 28. Calculate the remainder when k is divided by d.
8
Suppose 4*i + i = 35. Calculate the remainder when 14 is divided by i.
0
Suppose -11*a = -6*a - 110. What is the remainder when a is divided by 8?
6
Let n(m) = m**3 - 2*m**2 - 6*m + 1. What is the remainder when -1 - -7 - (-289)/17 is d