- 6. Let v be (-91)/(-28) + h/(-4). Suppose -21 = -4*y + 3*k, 0*y + 27 = 4*y + v*k. What is the remainder when 22 is divided by y?
4
Let h(b) = -b**3 - 13*b**2 + 46*b - 3. What is the remainder when 107 is divided by h(-16)?
20
Let o(u) be the third derivative of u**6/120 + 17*u**5/60 + 5*u**4/6 - 23*u**3/6 + 35*u**2. Calculate the remainder when o(-15) is divided by 43.
41
Suppose 3*x - 9 = 0, -2*d - 2*x - 30 = -6*d. Let j = -33 + 58. What is the remainder when j is divided by d?
7
Let h = -2305 - -2357. What is the remainder when 374 is divided by h?
10
Suppose 4*t + 8 = m + t, -4*m + 4*t + 48 = 0. Let y(a) = a**3 + a**2 - a + 20. What is the remainder when y(0) is divided by 4/7 + 174/m?
7
Suppose 139 = 55*p - 1401. Calculate the remainder when 108 is divided by p.
24
Suppose -2*z = -6*z + 16. Suppose -4*m - 6*p + 2*p = -56, m - z = -3*p. What is the remainder when (1/(-1) - -2) + 72 is divided by m?
16
Let l(q) = q**2 - 6*q - 10. Suppose 4*h - 28 = 4*d, -2*h = 5*d - 0 + 28. Calculate the remainder when l(d) is divided by 13.
10
Suppose -2*j + 86 = -5*k, 65 = 2*j - 4*k - 17. Suppose -4*d + 29 = 2*n - j, 4*d - 91 = -3*n. What is the remainder when 173 is divided by n?
28
Suppose r + 500 = 6*r. Suppose 5*o - 276 + r = 4*z, 2*z - 38 = -o. What is the remainder when o is divided by 10?
6
Let p = 62 + -32. Suppose -i - 6*q + q + 4 = 0, -3*q + p = -4*i. Calculate the remainder when 27 is divided by (-38)/(-6) + (-4)/i.
6
Suppose -3*g + 4*u - 4 = -g, 3*g = -5*u + 27. Suppose -g*t - 2*p + 0*p = -18, 2*t + 5*p - 5 = 0. Calculate the remainder when 27 is divided by t.
2
Suppose 2*c = 71 - 11. What is the remainder when c is divided by 2/(-20) + (-2898)/(-180)?
14
What is the remainder when 244 is divided by (69 + -3 - -4) + -8?
58
Let w = 437 + -367. What is the remainder when 266 is divided by w?
56
Let r(m) = 2*m - 16. Let s be r(9). Suppose -9 = -2*v + z, s*v - 1 = -3*z - 4. Calculate the remainder when 6 is divided by v.
0
Let s = -268 + 512. What is the remainder when s is divided by 116?
12
Let d(t) = 2*t**3 - 3*t**2 + t. Calculate the remainder when 509 is divided by d(3).
29
Let w = 4929 + -4879. Suppose -96 - 2 = -i. What is the remainder when i is divided by w?
48
Let v(a) = -a**2 - 11*a + 1. Suppose 16 = 3*m + 46. Calculate the remainder when 29 is divided by v(m).
7
Let n = 234 + 49. Calculate the remainder when n is divided by 11.
8
Suppose 69*b - 111*b = -6510. What is the remainder when b is divided by 43?
26
Let r = 10 + -9. Let h be (5/20)/(r/4). What is the remainder when 9 is divided by ((-20)/(-25))/(h/5)?
1
Let d(z) = -2*z**2 + 3*z + 3. Let m be d(3). Calculate the remainder when 91 - (4/3 + (-4)/m) is divided by 15.
14
Calculate the remainder when 24 is divided by -12*75/30*2/(-4).
9
Let a(p) = 2*p**2 - 5*p - 9. Let q be 0 - (9/(-3) + 2). Let y = 6 + q. Calculate the remainder when a(y) is divided by 14.
12
Suppose -2*p = -k + 4*k - 70, -40 = -2*k + 2*p. Suppose -c = -5*s - 48, -5*s + 3*s = 3*c - 195. What is the remainder when c is divided by k?
19
Suppose -231*v = -225*v - 384. What is the remainder when 184 is divided by v?
56
Let m = -81 - -82. What is the remainder when 137 is divided by m/6 - 3674/(-132)?
25
Suppose -v - 5*a + 46 = 0, -4*a = 3*v - 3*a - 110. What is the remainder when 50 is divided by (-230)/(-18) + 8/v?
11
Let b = -493 + 523. What is the remainder when 48 is divided by b?
18
Suppose -2*n = -4*t + 9 + 1, 4*n = -2*t + 30. Calculate the remainder when 39 is divided by 15 + (t + -1)/(-4).
11
Suppose -3*n - 54 = -3*x, 4*x - 22 - 52 = 5*n. What is the remainder when x is divided by ((-25)/50)/(1/8*-2)?
0
Let w(x) = 4*x**2 - 39*x + 7. What is the remainder when w(11) is divided by 39?
23
What is the remainder when -8*(-948)/96 - 1*4 is divided by 10?
5
Suppose 3*a = a - 30. Let x(w) = -w**3 - 16*w**2 - 15*w. Let t be x(a). Suppose t = -7*j + 5*j + 16. What is the remainder when j is divided by 5?
3
Suppose 3*i + i = 160. What is the remainder when i is divided by 3/(-15) - 112/(-10)?
7
Suppose -60*z + 61*z + 1 = 0. What is the remainder when 57 is divided by 3*z/6*-20?
7
Let m be 11/((-22)/(-4)) - -162. Suppose 20 = -4*h + m. What is the remainder when h is divided by 20?
16
Suppose -10*w = -30 - 0. Suppose z - 3*x = -3*z + 73, 3*z - 39 = -w*x. What is the remainder when (-294)/(-10) + 4/(-10) is divided by z?
13
Let f = -645 + 652. Let y be (0/(3/3))/(-2). What is the remainder when (-2)/4*y + 27 is divided by f?
6
Suppose 3*k - 572 = 397. Suppose -5*p - 28 = 5*x - k, -4*p = -3*x + 212. Suppose 0*d + x = 4*d. What is the remainder when d is divided by 9?
7
Suppose -5*l + 3*l - 113 = -3*n, -l = 3*n - 101. Suppose -5*x + 106 = 11. Calculate the remainder when n is divided by x.
16
Suppose 0 = -5*t - b + 300, -2*t - b = -2*b - 113. What is the remainder when 383 is divided by t?
29
Suppose -3*p + 0 + 81 = 0. Let h = 78 + -72. Calculate the remainder when p is divided by 14/(-21)*9/h - -15.
13
Suppose 7*h - 222 = -89. Suppose 0 = 3*x + 2*n - 110, -3*x + 3*n + n + 86 = 0. Calculate the remainder when x is divided by h.
15
Suppose -71*d + 16*d = -11000. Calculate the remainder when d is divided by 17.
13
Suppose 26 = -6*j + 8*j. Let x(u) = 2*u**2 + 5*u - 2. What is the remainder when x(4) is divided by j?
11
Suppose -2*n + 127 = 3*x, 3*n + 19 = x - n. What is the remainder when 121 is divided by x?
4
Let i be 27 - (-1 + (0 - 2)). Let c = -13 + i. Calculate the remainder when (66/8)/(4/16) is divided by c.
16
Let a(j) = -2*j**3 - 4*j**2 + 2*j + 6. Let n be ((-24)/(-3))/2*2/(-4). Let c(z) = 5*z**2 + 1. What is the remainder when a(-4) is divided by c(n)?
20
Suppose -n - 3*n - 56 = -w, -5*n = -4*w + 180. Suppose -w*x + 216 = -36*x. What is the remainder when 375 is divided by x?
51
Suppose 3*k - 47 = -k - 3*j, 4*k = j + 27. Suppose -6*u = -4*u + k. What is the remainder when ((-55)/(-10))/((-2)/u) is divided by 3?
2
Let p be (-6)/(-18) - 16/(-6). Suppose 0*i - i = -p*l + 41, i = -2*l + 19. Suppose 56*m - 329 = 49*m. Calculate the remainder when m is divided by l.
11
Let x be 1/((6/(-9))/(-2)). Let r = 5 + x. What is the remainder when (-6)/90*-5 - (-76)/6 is divided by r?
5
Let y = 7 + -2. Suppose -3*w - y*r = -37, 2 = r - 3. What is the remainder when 13 is divided by w?
1
Suppose 4*i = 4*r - 124, r - 6*i = -3*i + 23. Calculate the remainder when r is divided by 13.
9
Let r = -33 + 40. Suppose 5*a + 12 = 3*z - r, 5*a = 5. What is the remainder when 20 is divided by z?
4
Let y = 487 - 462. Calculate the remainder when 47 is divided by y.
22
Suppose 22 = w + 2*v, -5*w + 6*w + 13 = 5*v. What is the remainder when 201 is divided by w?
9
Let o(q) be the third derivative of -q**4/8 - 2*q**3/3 + 7*q**2. What is the remainder when 32 is divided by o(-7)?
15
Let d be (465/(-6))/(3/(-6)*1). Suppose -5*l = -5*q - 0*l + 205, 4*q + 5*l = d. Calculate the remainder when 117 is divided by q.
37
Let v(n) = 2*n - 14. Let y be v(6). Let r be y/8*0 + 4. Suppose 0 = r*k + 5*h - 19, -k - h = -0 - 6. Calculate the remainder when 32 is divided by k.
10
Let h(q) = q**3 - 8*q**2 + 3*q - 9. Let f be h(8). Suppose 6*m - 75 + f = 0. What is the remainder when 28 is divided by m?
8
Let u = -382 + 255. Let s = u + 128. Calculate the remainder when 1 is divided by s.
0
Let q(v) = v**3 - 3*v**2 - 6*v - 5. Let k = 23 - 18. Suppose -3*i - k*p = 2*i - 285, -2*i = -3*p - 119. Calculate the remainder when i is divided by q(5).
13
Let l = -30 - -60. Let x = -8 + l. Calculate the remainder when 41 is divided by x.
19
Let a(x) = x**2 + 11*x + 28. Let p be a(-12). Suppose -11*o + 125 = -p. Let d = -31 - -60. Calculate the remainder when d is divided by o.
14
Suppose p + 21 = 3*j - 2*p, -4*j = -2*p - 30. Calculate the remainder when 50/2 + 6 + -9 is divided by j.
6
Let n(j) = -2*j - 3. What is the remainder when (-46)/115*-55 + -8 is divided by n(-4)?
4
Suppose -2422 = -t - 4*n, 0 = 20*n - 19*n + 3. Calculate the remainder when t is divided by 84.
82
Suppose 3180 = -10*u + 63*u. What is the remainder when u is divided by (-96)/40*(-20)/3?
12
Let v = -739 + 839. Calculate the remainder when v is divided by 36.
28
Let p(o) = -2*o**3 - 14*o**2 - 2*o + 4. Let j be p(-7). Suppose -19*c + 81 = -j*c. What is the remainder when c is divided by 21?
18
Calculate th