 Suppose 11 - 1 = t - 5*h, -t - 5*h = 10. Suppose t = 4*x - c + 2*c - 100, -2*c - 50 = -2*x. What is the remainder when x is divided by k?
12
Suppose 0*o - z - 74 = -4*o, 0 = 4*o + 4*z - 84. Let d(x) = x**2 - 7*x - 4. Let p be d(-6). Let m = 109 - p. What is the remainder when m is divided by o?
16
Let r = 1 - -1. Suppose -r*a - 3*w - 8 = -3, -5*a = -4*w - 45. Calculate the remainder when 8 is divided by a.
3
Suppose k - 2*w = 2*k - 105, 4*w - 115 = -k. Calculate the remainder when k is divided by 24.
23
Let p(f) = 14*f**2 - 19*f - 3. Let a(j) = -5*j**2 + 6*j + 1. Let x(n) = -11*a(n) - 4*p(n). Calculate the remainder when 65 is divided by x(8).
14
Let t = 27 - 21. What is the remainder when 19 is divided by t?
1
Suppose -2*u - 5*m = -21, -3*m = -14 + 5. Let t(l) = l**2 - l + 1. Let k be t(1). Suppose -a + u - k = 0. What is the remainder when 7 is divided by a?
1
Suppose -2*g - 2*h = 15 - 73, 0 = 4*g - h - 101. Calculate the remainder when g is divided by 14.
12
Suppose 115 = 7*q + 24. Let k = q - 7. Let t(s) = s + 22. Calculate the remainder when t(0) is divided by k.
4
Let k(a) = a**3 - 3*a**2 - 2*a + 5. Calculate the remainder when 36 is divided by k(4).
10
Suppose -4*c + 292 = 4*q, 3*c = 4 - 1. Calculate the remainder when q is divided by 25.
22
Let s(v) = -5*v - 11. Let n be s(-8). Suppose 3*o - 2*o = n. Suppose -2*i + 3*i = 15. What is the remainder when o is divided by i?
14
Let u = -11 - -18. Let v = u - -10. Let t = v + -2. Calculate the remainder when 43 is divided by t.
13
Suppose -4*b - 20 = -0*b. Let i = 22 + b. Calculate the remainder when 30 is divided by i.
13
Let s(h) = h**3 + 8*h**2 - 5*h + 6. Let j be s(-9). Let t = 104 + j. What is the remainder when t is divided by 19?
17
Let f = 38 + -11. What is the remainder when f is divided by 7?
6
Let q = -20 - -32. Suppose 3*m + 2*c - 11 = 0, -2*m + 5*c = 2*m - 30. Calculate the remainder when q is divided by m.
2
Let t(i) = -i**3 + 12*i**2 - 9*i - 16. Calculate the remainder when 34 is divided by t(11).
4
Suppose 7*l - l = 312. Suppose 0 = -5*i + z - 152, 0*z + 4*z = 3*i + 81. Let t = i + l. What is the remainder when t is divided by 8?
5
Let p(i) = i + 9. Let f be 13/(-2) - (-1)/(-2). Let h be p(f). Suppose 0 = 5*s - h - 73. Calculate the remainder when s is divided by 8.
7
Let y = -8 - -6. Let z be (-5)/((-10)/12) + y. Suppose 42 = z*v - v. What is the remainder when v is divided by 8?
6
Calculate the remainder when 93 is divided by (-32 + 2 + -2)/(-2).
13
Let g(i) be the first derivative of -i**4/4 - 4*i**3/3 - 3*i**2 - 5*i + 2. What is the remainder when 36 is divided by g(-4)?
17
Let a(s) = s**3 + 3*s**2 + 2*s + 3. Calculate the remainder when a(-2) is divided by 1.
0
Suppose 3*r - 5*r = -78. Suppose 5*k - 5*l = 55, 3*k + l = -k + r. What is the remainder when -1 + 33 - (3 - 0) is divided by k?
9
Let w = 48 + -30. What is the remainder when w is divided by 7?
4
Suppose -q + i - 13 - 4 = 0, -4*i = -q - 23. Let s be (16 - 1)*6/q. Let z = s - -15. What is the remainder when z is divided by 6?
3
Suppose -3*g + 255 = -0*g. What is the remainder when g is divided by 22?
19
Let c be (2 - 22)*(-1 - -2). Let r = -13 - c. What is the remainder when 12 is divided by r?
5
Suppose 0*j - 2 = j. Suppose 9*f + 15 = 14*f. What is the remainder when (6 + j)/(2/4) is divided by f?
2
Let o be (-306)/(-24) - 1/(-4). Let h = o - 6. What is the remainder when h is divided by (-1 - -2)*(-4 - -6)?
1
Suppose -4*p + 3*l = -6, -22 = -5*p - 3*l - 1. Suppose 29 = p*z - 5*v, -4 + 6 = v. What is the remainder when 49 is divided by z?
10
Let a(t) = t**2 - 2. Let r be a(0). Calculate the remainder when ((-195)/(-20))/(3/16) is divided by 1*20 - (4 + r).
16
Suppose -7*i - 10 = -12*i. Let k = i + 2. Suppose 0 = -3*f - k*s - 0*s + 94, -5*f + s = -195. Calculate the remainder when f is divided by 13.
12
Suppose -126 = -s - 5*s. Calculate the remainder when 39 is divided by s.
18
Let s(o) be the second derivative of -o**5/20 - o**4/6 - o. What is the remainder when 33 is divided by s(-3)?
6
Let b = 17 - -66. What is the remainder when b is divided by 21?
20
Let x be ((-2)/5)/((-2)/20). Suppose -2*o = x*d - 66, -2*o - 39 = -d - 7*o. Suppose -q + 0*q = -5. What is the remainder when d is divided by q?
4
Suppose p = -2*n - 54, 5*p - 27 = -0*n + n. Let o = n + 38. What is the remainder when 43 is divided by o?
10
Let r(z) = -z**3 + 9*z**2 + 10*z + 9. Suppose 4*s = i - 2*i + 45, 0 = -2*s + 2*i + 10. Calculate the remainder when 35 is divided by r(s).
8
Let x be (3 + 1)*75/6. Let r = -28 - -42. What is the remainder when r is divided by x/6 - (-3)/(-9)?
6
Suppose 0*g + 3*g + 2*v = 224, 5*v + 69 = g. Suppose -s + 19 = -4*h, -7*s + h = -3*s - 76. What is the remainder when g is divided by s?
17
Calculate the remainder when 88 is divided by ((-1)/(-1))/(36/(-40) + 1).
8
Let k = 9 + 11. What is the remainder when 77 is divided by k?
17
Suppose y - 4*y + p + 7 = 0, 5*y - 4*p - 7 = 0. Suppose -3*o + 0*o + 3 = -3*w, -5*o + 11 = w. What is the remainder when y is divided by o?
1
Let k(g) = -2*g - 11. Let j be k(-7). Let z(a) = 4*a**3 - a**2 + 3*a - 3. What is the remainder when z(j) is divided by 36?
33
Let t(i) = -i**3 + 8*i**2 - 6*i + 9. Let m(d) = 2*d - 9. Let w be m(8). What is the remainder when 30 is divided by t(w)?
14
Let g(w) = w + 12. Let j be g(-9). Suppose 3*r = 3*q + 24, 0 = j*r - 2*q - 18 - 9. What is the remainder when 20 is divided by r?
9
Let g(s) = -3*s - 3. Let i be g(-3). Calculate the remainder when 68 is divided by 69/2*4/i.
22
Suppose 3*t + 2*t = 115. Calculate the remainder when t is divided by 8.
7
Let i(b) be the second derivative of b**4/6 + b**3/2 - 2*b**2 + b. Let c be i(-4). Suppose 2*s + c = 3*s. What is the remainder when 46 is divided by s?
14
Let w(h) = -h**3 + 4*h**2 + 3. Let t be w(4). Suppose m - 6 = t*m. Calculate the remainder when 38 is divided by 11 + (2 + -3 - m).
12
Let q(m) be the second derivative of 3*m**5/20 - m**4/4 - m**3/2 - 2*m**2 + 2*m. What is the remainder when q(3) is divided by 14?
13
Suppose -3*o + 0*p = 4*p + 11, -2*o + 21 = -3*p. Suppose 5*i - 25 = 0, -o*f + 5*f = -3*i + 39. Calculate the remainder when 45 is divided by f.
9
Let w(j) = j**3 - 10*j**2 + 11*j - 13. What is the remainder when 23 is divided by w(9)?
3
Let b = -46 - -51. Let x = 10 - 7. Suppose -x = -4*j + 5. What is the remainder when b is divided by j?
1
Let f = 41 + -26. Let g = 56 + -29. What is the remainder when g is divided by f?
12
Let j = -53 - -78. What is the remainder when 47 is divided by j?
22
Suppose -t + 11 = -2*j, -4*j - j - 5 = -t. What is the remainder when 70 is divided by t?
10
Suppose 0 = -2*s + 3*s, 50 = 5*u - 3*s. Suppose 2*n + 2 = u. What is the remainder when n*(-7)/(1 + -2) is divided by 10?
8
What is the remainder when ((-4)/6)/((-12)/522) is divided by 3?
2
Suppose 0 = 2*w + 2*i - 16, -4*w + i + 7 = -0*i. Calculate the remainder when 24 is divided by ((162/w)/(-3))/(-2).
6
Suppose 2*v = 1 + 1. Let j be 20/110 - (-86)/11. Let y = -7 + j. Calculate the remainder when v is divided by y.
0
Let f(n) = n + 2. Let r be f(-2). Let u = r + 2. Calculate the remainder when u is divided by 2.
0
Suppose -5*x + 10 = 0, 4*x - 4 - 2 = 2*a. Calculate the remainder when 12 is divided by (-1 + 0 - -6)/a.
2
Calculate the remainder when 89 is divided by ((-2)/(-6))/(4/228).
13
Let p(z) = -z**3 - 17*z**2 + 3. What is the remainder when 7 is divided by p(-17)?
1
Suppose 2*q = -3*q + 40. Let p(k) = k**2 - 2. Calculate the remainder when p(-5) is divided by q.
7
Let k = -10 + 26. Let h(d) = d**3 + d + 21. Let z be h(0). Suppose -25 - z = -r. What is the remainder when r is divided by k?
14
Let u(x) = -3 - 2*x + 0 - 3*x. What is the remainder when u(-9) is divided by 11?
9
Suppose -43 = -3*h - 1. Let y = -28 - -147. Let c = y + -79. What is the remainder when c is divided by h?
12
Let s(t) = 3*t**2 + 2*t**2 + 2*t - 4 + 2 + 3. Calculate the remainder when 12 is divided by s(-1).
0
Let i be (-2 + 12/9)*-3. Let f(g) = 3*g**2 + g - 1. What is the remainder when -1 - 52/(-1 - 1) is divided by f(i)?
12
What is the remainder when ((-8)/(-24))/(2/102) is divided by 6?
5
Let b(d) = -14*d - 3. What is the remainder when 74 is divided by b(-2)?
24
Let n(s) = s**2 + 2*s**2 + 4*s + s**2. Calculate the remainder wh