
Let g(q) = q**3 - 6*q**2 - 2. Let a be g(6). Let d(r) = 3*r**2 + 2*r - 1. Calculate the remainder when -5*(-4 + 2 + a) is divided by d(-2).
6
What is the remainder when 293 is divided by (-98)/(-10)*(-7 - -12)?
48
Let g(z) = -12*z**3 + 1 + 31*z - 31*z. Calculate the remainder when 24 is divided by g(-1).
11
Let c(g) be the third derivative of g**6/120 - g**4/24 + 11*g**3/2 + 10*g**2. What is the remainder when c(0) is divided by 18?
15
Let h(d) = d**3 - 4*d**2 - d + 5. Let k be h(4). Suppose 4*t - 23 = k. What is the remainder when 14 is divided by t?
2
Let n = -30 - -95. Let h = 118 + -84. What is the remainder when n is divided by h?
31
Let t(c) = 22 - 17*c - 3 + 16*c. Calculate the remainder when t(0) is divided by 11.
8
Let s = 4 - 6. Suppose 0 = 4*a - 6*a - 8. What is the remainder when 17 is divided by 2 + 9 - (s - a)?
8
Suppose p + p = 8. Let a(z) = z. Let b be a(p). Suppose -m + 25 = b*m. What is the remainder when m is divided by 2?
1
Suppose 0 = s + 2*s - 5*k - 1779, 2*k - 1800 = -3*s. What is the remainder when (-10)/15 - s/(-6) is divided by 34?
31
Let u be (2/(-4))/(6/(-108)). Suppose 9 = h - u. What is the remainder when 34 is divided by h?
16
Suppose -5 = 2*l - l. Let k(x) = -x**3 - 3*x**2 - 4*x. Let d be k(l). What is the remainder when (-1)/(-2) - d/(-4) is divided by 10?
8
Let b = 3 + -6. Let q(u) = -u. Let v be q(b). Suppose v = i - 0. Calculate the remainder when i is divided by 2.
1
Suppose w + 3*w - 4 = 4*f, -3*f = 5*w + 11. Let l be f/4*0/1. Suppose 22 = 2*y - l*y. What is the remainder when 31 is divided by y?
9
Let s be ((-15)/(-20))/(2/8). Suppose s*v - 3 + 54 = p, 3*v + 195 = 4*p. What is the remainder when p is divided by 10?
8
Suppose -4*m - 2*d = -306, 34 = -2*m + 4*d + 192. What is the remainder when m is divided by 26?
25
Let v = -1 - -1. Suppose -c + 31 = -v*c. Let s(u) = 16*u**2. What is the remainder when c is divided by s(-1)?
15
Let m(y) = y**3 - y**2 - 2*y + 2. Let n be m(3). Let t = 26 - n. Suppose 4*h = 20, -4*c - 3*h + 49 + 58 = 0. Calculate the remainder when c is divided by t.
11
Suppose 0*d = 2*d - 28. Let g(w) = w**2 + 2*w + 5. Let t = 10 - 5. Calculate the remainder when g(t) is divided by d.
12
Let a = -17 - -31. Calculate the remainder when 26 is divided by a.
12
Let f = -6 - -11. Suppose 0 = f*c + 5*v - 25, -v = -3*v - 10. What is the remainder when 234/c + 2/(-5) is divided by 8?
7
Suppose 0 = -3*u - 0*c + c + 25, -5*u + 3*c + 35 = 0. Calculate the remainder when u is divided by 3.
1
Let v be ((-52)/10 - 2)*10. Let m = 119 + v. Suppose -q + 30 = 3*i - i, -2*q + m = 3*i. What is the remainder when 24 is divided by i?
11
Let i = -32 + 58. Suppose 2*p - 6*p + 54 = 3*t, 0 = -4*t + 3*p + 47. Calculate the remainder when i is divided by t.
12
Let i = 17 - 8. Calculate the remainder when 24 is divided by i.
6
Let y = -3 - -6. Suppose 20 = -y*h + 8*h. What is the remainder when (-3)/6 + 90/h is divided by 12?
10
Let m(n) = -123*n - 5. What is the remainder when m(-1) is divided by 30?
28
Let n(v) = 2*v**2 + 8*v - 2. What is the remainder when (63/2)/((-38)/(-8) + -4) is divided by n(-6)?
20
Let g be (-2)/(-5) + 162/(-5). Let h = g - -77. Calculate the remainder when (h - 1 - -1) + -2 is divided by 15.
13
Let r = -5 - -4. What is the remainder when 9 - (-2 + (-3)/r) is divided by 5?
3
What is the remainder when 5 + -6 - (-2 + -40) is divided by 21?
20
Let b(o) be the third derivative of -o**4/8 + o**3/6 + o**2. Suppose 3*c - 54 = -3*f, c + 2 + 0 = 0. Calculate the remainder when f is divided by b(-2).
6
What is the remainder when 9 is divided by (2 - 5)*(-63)/27?
2
Let u(a) = -a. Suppose 5*v = 5*h + 25, 0 = v + 2*v - 3. Calculate the remainder when (1 - -5)*(3 - 2) is divided by u(h).
2
Suppose -6*r = -4*p - 2*r + 220, 2*r = 0. What is the remainder when p is divided by 14?
13
Let v = -50 + 62. What is the remainder when 18 is divided by v?
6
Suppose 8*q - 3*q - 3*p - 11 = 0, -1 = -q + p. Calculate the remainder when q is divided by 2.
0
Let h = 23 - 15. Let u = h - -5. What is the remainder when 50 is divided by u?
11
Suppose 2*t + 4 = 3*t. What is the remainder when 9 is divided by t?
1
Suppose 4 - 16 = -3*i. Suppose -2*g = t - i*t + 6, 4*g = -5*t - 12. Let u = t + 14. What is the remainder when u is divided by 8?
6
Let c = -11 - -17. Let v(u) = -u**2 - 5*u + 10. Calculate the remainder when v(0) is divided by c.
4
Let h(r) = r**3 - 7*r**2 + 10*r - 9. What is the remainder when 0 + (-1)/3 + (-2460)/(-90) is divided by h(6)?
12
Calculate the remainder when 3*(-1)/((-6)/124) is divided by (-128)/(-12)*(-6)/(-4).
14
What is the remainder when 14 is divided by 8/6*(-5)/(25/(-15))?
2
Suppose 0 = -5*y - 5*w + 115, -14 - 18 = -2*y + 5*w. Calculate the remainder when 36 is divided by y.
15
Suppose -161 = -3*z + 64. What is the remainder when z is divided by 17?
7
Let t(u) = u**2 + 10. What is the remainder when 29 is divided by t(0)?
9
Let q(y) = -y**3 - 4*y**2 - 2*y + 3. What is the remainder when 42 is divided by q(-4)?
9
Let h = -22 - -49. Let z = -15 + 68. Calculate the remainder when z is divided by h.
26
Let f(j) = -3*j**3 + j**2 - j - 1. Suppose -8 = 4*r - 4. What is the remainder when 7 is divided by f(r)?
3
Let g = 144 - 83. Calculate the remainder when g is divided by 16.
13
Suppose -2*s = -s - 70. Suppose 2*j - 53 = 3*h, -2*j - 5*h + s = j. Calculate the remainder when j is divided by 9.
7
Let w(t) be the first derivative of -t**4/4 - 8*t**3/3 - t**2 - 5*t - 1. What is the remainder when 41 is divided by w(-8)?
8
Suppose -2*i + 70 = 2*q - 0*i, 0 = 5*q + 2*i - 160. Calculate the remainder when q is divided by (-16)/56 - (-58)/7.
6
Let j(c) = -2*c - 1. Let h be j(-4). Let q(v) = -2 - v**2 - v**2 - h*v + v**2. Calculate the remainder when 19 is divided by q(-3).
9
Suppose 4*x + 15 = 2*x - 5*m, -2*x + 3*m - 7 = 0. Let a = 16 + x. What is the remainder when 32 is divided by a?
10
Suppose 23 = -5*j + 73. Let w be 1*(-3)/((-3)/4). Calculate the remainder when 12 is divided by w/(-10) + 74/j.
5
Suppose -3*x = -4*x. Suppose -5*y = -x*y. What is the remainder when 37 is divided by 14 + (y - 1 - 0)?
11
Let s = -8 + 6. Let z = s - -8. Suppose 2*j - 50 = -2*i, -141 = i - z*i + 3*j. Calculate the remainder when i is divided by 14.
13
Let j be (9/(-5))/(1/(-5)). Suppose 4*h + 3 - 11 = 0. Let g = j - h. Calculate the remainder when g is divided by 3.
1
Let p(o) = 67*o + 3. Let r be p(3). Suppose 4*q + 0*q = 8. Suppose r = 2*w + q*w. Calculate the remainder when w is divided by 13.
12
Let l = 6 + -4. Suppose 32 = -l*o - 2*x, -6 = 4*o - 4*x + 90. What is the remainder when 17 is divided by (-4)/10 - 128/o?
5
Let p(i) = i**3 + 12*i**2 + 10*i. Let b(z) = -z**3 + 10*z**2 - 5*z + 5. What is the remainder when b(9) is divided by p(-11)?
8
Suppose -4*q = -2*q + 5*w, 0 = -q - 4*w. Let i(h) = h**3 - h**2 - h + 86. Let b be i(q). Calculate the remainder when 3*(-2)/(-12)*b is divided by 15.
13
Suppose 3*t = 3*y + 1 - 4, 3*t = -3. Suppose o + o - 50 = y. Suppose -5*x + 4*h = 6*h - 78, -5*h = 4*x - 76. Calculate the remainder when o is divided by x.
11
Let j = -8 + 4. Let n = j + 4. Suppose -3*x + 8 + 13 = n. What is the remainder when 20 is divided by x?
6
Let y(q) = 10*q - 17. What is the remainder when 57 is divided by y(4)?
11
What is the remainder when 32 is divided by (-7 - -3)/(-1) + -6 + 13?
10
Suppose 4*g = 5*g - 2. Suppose -2*p - 3*p = g*l - 57, -3*p - 189 = -5*l. Let f = l - 18. Calculate the remainder when f is divided by 10.
8
Suppose -5 = a - 0*a, 0 = 2*x + 3*a + 5. Suppose -2*k + 80 = 2*k - x*p, -87 = -5*k + 3*p. Calculate the remainder when k is divided by 4.
3
Let a(c) = -2*c. Let u(p) = 11*p. Let d(z) = 10*a(z) + 2*u(z). What is the remainder when 11 is divided by d(3)?
5
Let q = 259 + -415. Calculate the remainder when -3*1*q/9 is divided by 18.
16
Suppose 0 = -0*m - 4*m + 124. Let b(a) = 16*a. What is the remainder when m is divided by b(1)?
15
Let y be 0/((3 + -4)*-1). Let g = 15 - y. What is the remainder when ((-56)/5)/((-3)/g) is divided by 19?
18
Let n(k) = -k. Let d be n(-2). Suppose 0*j = -4*o - 4*j + 112, 0 = -d*o + j + 59. Calculate the remainder when o is divided by 10.
9
Suppose 0 = 2*l + 2*l. Suppose l = 3*x - 5*x + 16. Suppose 2*r = -5*g + 36, -2*g = 2*r - 27 - 3. What is the remainder wh