23
Let o(t) = -t**3 + 3*t**2 + 19*t + 3. Calculate the remainder when 149 is divided by o(-5).
41
Let l(q) = -36*q**3 + 2*q + 1. Let f be l(-1). Suppose -3*o - f = -3*p - o, 0 = 3*p - o - 37. What is the remainder when p is divided by 8?
5
Let w be (-8)/(-6)*27*(-5)/(-30). Calculate the remainder when 34 is divided by 3/6 + 69/w.
10
Suppose 0 = 17*t - 15*t - 4*r - 388, 811 = 4*t - r. Calculate the remainder when 620 is divided by t.
8
Suppose 0 = -4*n - n + 25. Suppose 2*b - 188 = -b - n*g, 5*g = -2*b + 117. Calculate the remainder when b is divided by 18.
17
Let f(t) = -22*t + 3. Calculate the remainder when 48 is divided by f(0).
0
Suppose -5*r + 46 = -2*v - 0*v, -4*v - 44 = -4*r. Suppose -6*b = -54 - 30. Calculate the remainder when b is divided by r.
6
Let x be 4610/30 - (16/6 - 2). Suppose -9 + x = 6*i. Suppose h + 3*h - 225 = -3*q, 3*h - 364 = -5*q. Calculate the remainder when q is divided by i.
23
Suppose -177*c = -87*c - 12690. Let p(k) = -k + 2. Calculate the remainder when c is divided by p(-7).
6
Suppose 3*w + 3 = -0, -2 = -5*s - 3*w. Suppose 2*r = s + 7. Suppose 0*i + 5*k - 4 = i, r*k = 12. What is the remainder when 21 is divided by i?
10
Suppose -22 = -4*p + 5*x, -6*p = -11*p + 4*x + 32. Let o(r) be the second derivative of r**3/6 + 8*r**2 - r. What is the remainder when 69 is divided by o(p)?
21
Let z = 33 + 4. What is the remainder when 141 is divided by z?
30
Let o = 265 - 222. Calculate the remainder when o is divided by 24.
19
Suppose 4*k + 4*d - 48 = 0, 5*k = -d + 4*d + 84. Let n(h) = -7*h - 1. What is the remainder when k is divided by n(-1)?
3
Suppose 3*p = -0*p + 93. Let f = -2738 - -2749. What is the remainder when p is divided by f?
9
Let c(l) = -2*l**3 - l**2 + 5*l. Let f be c(-4). Suppose 0 = 4*v - 0*v - f. What is the remainder when 44 is divided by v?
21
Let s(b) = 4*b - 67. What is the remainder when s(41) is divided by 20?
17
Suppose 351*p - 325*p = 78. What is the remainder when (-2 - -6) + (1 - 1) is divided by p?
1
Let b(o) = 3*o - 6. Let l be b(3). Suppose 0*d + 193 = l*x - 5*d, -d - 61 = -x. Calculate the remainder when 108 is divided by x.
52
Let p = 282 + -240. Calculate the remainder when p is divided by 9.
6
Suppose -5*r = -3*x - 1214, -1196 = -15*r + 10*r - 3*x. Calculate the remainder when r is divided by 25.
16
Let w be (-3 + (-20)/(-8))*0. Let k be 3 + -4 + w + 1. Suppose k = -o + 2*o - 65. Calculate the remainder when o is divided by 17.
14
Suppose 3*a - 11 + 8 = 0. Let c(k) = 6*k + 2. What is the remainder when 23 is divided by c(a)?
7
Let t(q) = 2*q**2 + 4*q - 11. Let v be t(-6). Let i = v - 34. What is the remainder when (-23 - i)*10/(-4) is divided by 17?
14
Suppose 14*l = 3658 - 3420. What is the remainder when 116 is divided by l?
14
Suppose 5*x + 41 = 4*b, 5*x = -3*b - b - 49. Let d = -17 - -27. Calculate the remainder when 35 + x/(-3) - 0 is divided by d.
8
Suppose 0 = -n + 9 - 13, 0 = 2*w + 3*n - 418. Calculate the remainder when w is divided by 72.
71
Let j(p) = 3*p - 1. Let i be j(1). Suppose 0 = -5*d + 3*d + i. What is the remainder when (-2 - 0)/2 + (-6)/(-2) is divided by d?
0
Let z = 5 - 2. Let u = z + 3. What is the remainder when 14 is divided by 45/u + 5/10?
6
Suppose 0 = m - 23 + 6. Suppose -7 = f - m. Let b = -20 + 39. Calculate the remainder when b is divided by f.
9
What is the remainder when (104/65)/((-2)/(-105)) is divided by 23?
15
Let m = 39 + -37. Suppose 2*g + m*z - 8 = 0, -3*g + 0*z + 12 = 2*z. What is the remainder when 17 is divided by g?
1
Suppose 4*n + l = -0*l + 10, -2*l - 4 = 0. Calculate the remainder when 3 is divided by n.
0
Suppose 3*j + 2*c - 6 = -0*c, 0 = -3*j - 3*c + 6. What is the remainder when (j + 6 - -110) + (0 - 1) is divided by 20?
17
What is the remainder when 243 is divided by (33/(-66))/((-3)/126)?
12
Suppose 20*u - 24*u + 2*h = -34, 0 = 4*h + 4. What is the remainder when u is divided by 5?
3
Let i(w) = 7*w**2 - w + 3. Let f(c) = c**3 - c**2 + c - 1. Let b(l) = 5*f(l) + i(l). Calculate the remainder when b(2) is divided by 14.
12
Suppose -53*f = -65*f + 11508. Calculate the remainder when f is divided by 80.
79
Let g = 1550 - 1494. What is the remainder when 436 is divided by g?
44
Suppose -403*c - 1116 = -439*c. Calculate the remainder when c is divided by 16.
15
Suppose -p + 14 = m, 0 = -3*m - 0*m. Suppose -64 = 10*h - p*h. Calculate the remainder when 45 is divided by h.
13
Let q = 13 + -17. Calculate the remainder when 3 - (q - -4 - 26) is divided by 15.
14
Suppose 2*p - 4*u + 7*u - 20 = 0, 5*u = -3*p + 31. Calculate the remainder when (-3)/3*-21 + 4 is divided by p.
4
Suppose 0 = -4*q + 13 - 1. Let n = 21 + -8. What is the remainder when (26 - 0 - q)*1 is divided by n?
10
Let v(t) = -4*t + 8. Let c be v(4). Let f be (-2)/c + (-1262)/(-8). Let i = f - 113. What is the remainder when i is divided by 24?
21
Suppose 0 = -4*r + 38 + 22. Calculate the remainder when 51 is divided by r.
6
Suppose -3*s + 4*s = -3*t + 5, 27 = -3*s + 5*t. Let q be 12/2 + (-16 - -23). What is the remainder when 103 is divided by (q + 1)/(s/(-10))?
33
Suppose -4*b + 3*l - 12 = 0, -5*l + 11 = -9. Suppose b = -3*c + 3 + 3. What is the remainder when 11 is divided by c?
1
Let i(g) = -g**3 - 4*g**2 + 6*g - 7. Let w be i(-6). Suppose 2*s - 23 = w. Let c = 85 - 35. What is the remainder when c is divided by s?
24
Let a(x) = 2*x**3 - 35*x**2 + 27*x - 9. What is the remainder when a(17) is divided by 136?
25
Suppose 5*a - 43 = -15*c + 18*c, a - 2*c = 17. Let y(b) = 9*b + 1. What is the remainder when y(3) is divided by a?
3
Let t(l) be the third derivative of l**6/120 - l**5/20 + 2*l**3/3 + l**2. Suppose 111 = 7*s - 4*s. What is the remainder when s is divided by t(4)?
17
Let g = 56 - 188. Let o be (g/(-55))/((-3)/10). Let z = 28 + o. What is the remainder when 57 is divided by z?
17
Let g(u) = -12*u - 6. Let c be g(1). Let a = 4 - c. Calculate the remainder when 65 is divided by a.
21
Suppose -5*v + 668 = 4*i, i + 78 = 4*v + 224. Calculate the remainder when i is divided by 14.
8
Let b(n) = -n**3 + 10*n**2 - 7*n + 14. Let i be b(6). Let o = i - 97. Calculate the remainder when 55 is divided by o.
17
Let b(c) = 2*c**2 - 11*c + 4. Let s = 6 - 2. Suppose 3 + 29 = s*q + 4*d, 5*q - 41 = -4*d. What is the remainder when b(q) is divided by 34?
33
Suppose -4*y = -y - 9. Suppose 128 = 5*u - 2*u - 2*f, -y*f + 61 = u. Suppose -3*m + 48 = m. What is the remainder when u is divided by m?
10
Let u(d) = 5*d**2 - 33*d - 1. Calculate the remainder when 635 is divided by u(7).
11
Let u be (164/(-6))/(2/6). Let j(c) = c**3 + 28*c**2 + 152*c + 133. Calculate the remainder when 0 + 0 - (u - 0) is divided by j(-21).
26
Let y = 334 - 280. What is the remainder when y is divided by 20?
14
Suppose 19*c = 727 - 62. What is the remainder when 66 is divided by c?
31
Suppose -13*t = -16*t + 12. Let r(p) = p**3 - 4*p**2 + 4*p - 1. What is the remainder when 27 is divided by r(t)?
12
Let v = 14 + 291. What is the remainder when v is divided by 102?
101
Let o(p) = -3*p**2 - 162*p + 33. Let d(n) = n**2 + 4*n - 6. What is the remainder when o(-54) is divided by d(-7)?
3
Suppose 3 = 9*n - 78. Let f = -4 + 9. Calculate the remainder when n is divided by f.
4
Let a(g) = g**3 - 2*g**2 + 9*g - 16. Calculate the remainder when a(5) is divided by 24.
8
Suppose 0 = 5*m - 4*j - 39, -2*m - 2*m + 3*j = -31. Suppose 60 = m*a - 3*a. What is the remainder when (-2 + 60)/(10/((-10)/(-2))) is divided by a?
14
Suppose -5*z - 5*v + v = -1248, 3*v = 3*z - 738. Calculate the remainder when z is divided by 21.
17
What is the remainder when 300 is divided by 41 - (3 + -2*20/8)?
42
Suppose 72*g = 66*g + 216. What is the remainder when 98 is divided by g?
26
What is the remainder when 8 is divided by 42/(-56) + 23/4?
3
Let u be (-7 + 4)/(1/2). Let p(d) = d + 6. Calculate the remainder when (u/(-9))/((-2)/(-141)) is divided by p(6).
11
Let l(h) = 2*h**2 - 2*h. Let y be l(1). Suppose 7*m + m - 32 = y. Calculate the remainder when 7 is divided by m.
3
Let j be ((-114)/(-8))/((-45)/(-120)). Suppose 76 = 5*w - w - b, 2*w + 5*b = j. What is the remainder when 93 is divided by w?
17
Suppose 149*h = 150*h - 59. Calculate the remainder when 227 is divided by h.
50
Suppose 0 = 19*b - 21 - 169. Calculate the remainder when 47 is divided b