late the remainder when (-20)/5 - (-25)/1 is divided by 6.
3
Suppose 0 = d - 17 - 7. Calculate the remainder when 44 is divided by d.
20
Let d(r) = r**3 + 3*r**2 - 5*r + 5. Let h be d(-6). What is the remainder when (1 - h)/(0 - -1) is divided by 25?
24
Let v(z) = z**2 + 3*z - 11. Calculate the remainder when v(-8) is divided by 16.
13
Let s(w) be the first derivative of w**3/3 - 2*w + 1. What is the remainder when 4/26 + 63/13 - 0 is divided by s(-2)?
1
Let a be -93*2*(-1)/6. Suppose -2*u + a = -15. Calculate the remainder when u is divided by 12.
11
Suppose r - 56 = -11. Suppose -2*u + 15 = -4*l - 3, -3*u + r = 3*l. Calculate the remainder when 50 is divided by u.
11
Let d = -19 - -48. Let u = 1 + d. What is the remainder when u is divided by 11?
8
Let a = 1 - 1. Suppose a = -2*n + 4*n - 10. Calculate the remainder when n is divided by 2.
1
Suppose 2*n + 3*j - 30 = -6, -24 = -2*n - 5*j. Calculate the remainder when n is divided by 7.
5
Suppose -3*h + 16 = 1. What is the remainder when h is divided by 2?
1
Let t be (3/4)/(4/16). Suppose 0 = t*m - 55 + 16. Calculate the remainder when 24 is divided by m.
11
What is the remainder when ((-24)/(-18) + (-33)/18)*-82 is divided by 11?
8
Suppose 0*d = -d + 9. Suppose -5 - 75 = 2*u - 3*b, u + 54 = 5*b. Let g = -19 - u. Calculate the remainder when g is divided by d.
6
Suppose 2*i = -2*i. Let h be 1 + i + (-4)/(-1). What is the remainder when 1*12 + h/5 is divided by 7?
6
Suppose -2*u + 145 = 5*v - 7*u, 77 = 3*v + 2*u. What is the remainder when v is divided by 7?
6
Suppose 8*c = 3*c + 2*j + 320, 2*c - 128 = -5*j. Calculate the remainder when c is divided by 11.
9
Let r be ((-6)/5)/(33/110). Let t(o) = -o**3 - 4*o**2 - 3*o + 2. What is the remainder when t(r) is divided by (-34)/(-4) + 2/(-4)?
6
Suppose 3*f + 30 = 3*d, 4*f = -5*d - f + 20. Calculate the remainder when 32 is divided by d.
4
Let v be (-168)/(-4)*1 + -3. Calculate the remainder when -4*v*(-4)/16 is divided by 10.
9
Suppose 0 = 5*r + 14 - 109. Let m = 11 + -4. Calculate the remainder when r is divided by m.
5
Calculate the remainder when 60 is divided by 6/(-15) + (4 - (-685)/25).
29
Suppose -2*b = -l - 5, -5*l - 7 = -3*l - b. Let t = 10 + l. Suppose -x = -15 - 11. What is the remainder when x is divided by t?
5
Let y be ((-4)/(-2))/((-3)/(-30)). Suppose y = 4*w - 0*w. What is the remainder when 14 is divided by w?
4
Suppose 0 = -d - 3*d. Calculate the remainder when 37 is divided by (d + -2)*(-26)/4.
11
Let n(j) = j**3 - 5*j**2 + 4*j + 3. Let w be n(4). Suppose w*i = -2*i + 90. Calculate the remainder when 2 - 34*9/(-6) is divided by i.
17
Let r = 1037 - 963. Let i(h) = h**3 + 4*h**2 - 2*h + 4. Calculate the remainder when r is divided by i(-3).
17
What is the remainder when 127 is divided by 8*4/(-8) - -30?
23
Let h(t) be the second derivative of -t**5/20 - t**4 + 5*t**3/3 + 13*t**2/2 - 2*t. Calculate the remainder when h(-13) is divided by 11.
8
Suppose -2*u + 0*u + 35 = 5*b, -b + 61 = 4*u. What is the remainder when 115/4 + 2/8 is divided by u?
14
Suppose 1 = g - 43. What is the remainder when g is divided by 4?
0
Let u(t) = 5*t + 1. What is the remainder when u(4) is divided by 12?
9
Suppose t = -5*i + 31, 4*t - 5*t - 2*i + 37 = 0. What is the remainder when t is divided by 23?
18
Let i(c) = c**3 + 8*c**2 - 9*c + 6. Let s be i(-9). Suppose 8 + s = u. Suppose -o + u = o. Calculate the remainder when 27 is divided by o.
6
What is the remainder when 22 is divided by (-2)/(-6)*(48 - 12)?
10
Let s = 72 + -56. Calculate the remainder when 111 is divided by s.
15
Suppose -2*r - 13 = -3*n, 2*n - 2*r - 8 = 4. Let d be 128/(1*n/1). Suppose -5*x + d = -x. What is the remainder when x is divided by 17?
15
Suppose -3*r + 12 = -42. Calculate the remainder when r is divided by 4.
2
Let l(u) = 5*u**2 - 5*u - 27. Calculate the remainder when l(-5) is divided by 43.
37
Let y(o) = 17*o**2 + o + 1. Suppose 5*h - 14 = b, 0 = -h + 5*b + 28 - 6. Suppose h*f = 14 - 2. What is the remainder when y(-1) is divided by f?
5
Suppose 3*b - 9 = 0, -4*j = -b + 2*b - 119. Suppose 0*f - 3*f + 35 = 5*i, -3*i = 2*f - 20. What is the remainder when j is divided by i?
9
Suppose 25 + 35 = 4*o. Suppose 5*q + v = o, q - 2*v + 13 = v. Calculate the remainder when 7 is divided by q.
1
Let j = 113 - 4. Calculate the remainder when j is divided by 16.
13
Suppose 0 = -2*x + n + 188, -5*x + n = 4*n - 459. What is the remainder when x is divided by 32?
29
Let u(f) = -f**3 + 8*f**2 - 6*f + 3. Let k be u(7). Calculate the remainder when 18 is divided by 14/10*(k - 5).
4
Let m = 55 + -53. Suppose -2 - 6 = -2*i. Suppose -p = m*y - 6*p + 9, -i*p + 9 = -y. Calculate the remainder when 6 is divided by y.
0
Calculate the remainder when 63 is divided by 12/42 - (-89)/7.
11
Let q = -4 + 10. Suppose -v = -x + v + 9, -4*x = -v - 15. Calculate the remainder when q is divided by x.
0
Calculate the remainder when -1*(-2)/(-6) - 188/(-6) is divided by 8.
7
Suppose -358 = -2*w - 4*z, w - 3*w + 357 = 5*z. Calculate the remainder when w is divided by 26.
25
Let z(k) = 6 + k + k**2 - 5 - 4*k**3 + 3*k**3. Let l be z(-2). Let q(o) = o - 3. What is the remainder when q(l) is divided by 5?
3
Let i be (-6)/(-10) - 6/10. Suppose -23 = -y + 4*s, 5*y + 3*s - 138 = -i*s. Let h = -18 + y. What is the remainder when h is divided by 4?
1
Suppose -135 = -3*v + 3*q + 54, 2*v + 3*q - 151 = 0. Calculate the remainder when v is divided by 14.
12
Suppose -3*w + 23 = -2*w. Calculate the remainder when 5/(-15) - 271/(-3) is divided by w.
21
Suppose 0 = -2*y + 3*d + 21, -5*d = -5*y - 8*d + 84. Calculate the remainder when 73 is divided by y.
13
Let h(u) be the second derivative of 7*u**3/6 - 9*u**2/2 - u. Calculate the remainder when h(10) is divided by 16.
13
Let o(c) = -3*c + 4*c - c**2 + 0*c**2 + 3*c**2 + 1. Let f = 7 - 5. Calculate the remainder when 32 is divided by o(f).
10
Let b(f) = -f + 6. Let s be (-1)/2 + 18/4. Let d be b(s). Suppose -4*p = d*a - 56, -1 + 6 = p. Calculate the remainder when 53 is divided by a.
17
Let p(x) = x + 1. Let g be p(4). Suppose g*z = 19 + 36. Calculate the remainder when 42 is divided by z.
9
Let w(s) = s**2 + 145. What is the remainder when w(0) is divided by 21?
19
Suppose -3*x = 3*m + x - 110, 2*m + 5*x = 85. Let c be (0 - -1) + m + -1. Suppose -c = -5*l + 80. What is the remainder when l is divided by 12?
10
Suppose m - 38 = -5*o, 3*m - 2*o - 78 = 19. Let p be (25/15)/(2/6). Suppose 4*x + 3*g = 48, -6*g + 60 = p*x - g. What is the remainder when m is divided by x?
9
Suppose -12 = -5*i + 3*d, 2*i - 9 = -5*d + 2. Suppose -z = v + 2*z - 45, -4*v + z = -180. What is the remainder when v is divided by (1/i)/((-1)/(-69))?
22
Suppose -5*c + 35 = -5*t, -3*c + 2 = -4*c - 2*t. What is the remainder when (-6 - -5) + c*6 is divided by 8?
7
Let z = -3 + 3. Suppose -5*y = -20 + 5. Suppose 3*g - 2*t + 3*t - 35 = 0, z = y*g + 3*t - 39. Calculate the remainder when 31 is divided by g.
9
Let w be 832/28 + (-2)/(-7). Let u = w + -24. Let t(x) = x**3 + 2*x**2 - 5*x - 2. Calculate the remainder when u is divided by t(-3).
2
Let o be 82 + (0 - 3) + -1. Suppose 2*t + t = o. Calculate the remainder when t is divided by 9.
8
Let r be (-22)/6 - (-7)/(-21). What is the remainder when (2 - -22) + (-7 - r) is divided by 6?
3
Let o be (-12)/(0 - (-9)/(-24)). Suppose 3*z + z - o = 0. What is the remainder when 14 is divided by z?
6
Suppose 2 + 2 = 4*u. Calculate the remainder when 2 is divided by u.
0
Let v(y) = -2*y - 15. Suppose 2*c = -2*c + 36. Calculate the remainder when c is divided by v(-10).
4
Suppose 0 = y, -5*y = -3*u + 2*u + 9. What is the remainder when u is divided by 198/44*(-8)/(-6)?
3
Let v(s) = 56*s - 4. What is the remainder when v(1) is divided by 12?
4
Suppose -3*k - 31 = -7. Suppose -4*b - 29 - 53 = 2*h, 4*h = -2*b - 56. What is the remainder when 39 is divided by 3*15*k/b?
19
Suppose -3*x + 44 = -5*o, 0 = 5*o + 6 + 14. What is the remainder when 8 is divided by x?
0
Suppose r = -3*r. Suppose 0 = -r*a + 4*a - 24. Calculate the remainder when a is divided by 4.
2
Let z be 0 + 1 - (-4 - -10). Calculate the remainder when 28 is divided by (-76)/z - (-3)/(-15).
13
Let p = 32 - 16. What is the remainder when 29 is divided by p?
13
Let c = -43 + 58. Calculate the remainder when c is divided b