by x.
14
Let z(h) = 24*h - h**3 - 2 + 9*h**2 + 0 - 10*h - 12. Calculate the remainder when z(10) is divided by 14.
12
Suppose -3*f = s - 65, 2*f + 0*f = 2*s - 90. Calculate the remainder when 98 is divided by s.
48
Let p = 42 + -25. Suppose -4*w = w. Suppose -4*s + 8*s - 132 = w. Calculate the remainder when s is divided by p.
16
Let o(f) = 4*f + 3. Suppose -p + 13 = x - 5*x, -4*p = -4. Calculate the remainder when o(10) is divided by ((-11)/x)/((-1)/(-6)).
21
Let h = 2 + 0. Suppose 0*y - 32 = -h*y. What is the remainder when 30 is divided by y?
14
Let d(l) = 4*l - 37. Suppose -2*o = -31 - 23. What is the remainder when o is divided by d(11)?
6
Let c = 5 + -3. Suppose 4*q + 2*u = 5*u + 24, u = c*q - 10. Suppose 6*v - q*v - 30 = 0. Calculate the remainder when 28 is divided by v.
8
Suppose 3*r - 8 = 79. Suppose -z = -4*w + 4*z + r, -z = -3*w + 30. What is the remainder when 42 is divided by w?
9
Let p(z) = -z**2 + 10*z - 9. Suppose 0 = -4*x - x + 25. Let k = x - -8. Calculate the remainder when k is divided by p(8).
6
Suppose z + 3*z - 56 = 0. Suppose 0 = -5*t - t + 234. Calculate the remainder when t is divided by z.
11
Let z(q) = -q - 1. Let n be z(-5). Calculate the remainder when 13 is divided by (-1)/n - (-99)/12.
5
Let j = 6 + -4. Let c be (j/(-6))/(2/(-54)). What is the remainder when 12/(-10)*(-240)/c is divided by 11?
10
Let n(b) = -6*b - 13. Calculate the remainder when 32 is divided by n(-5).
15
Suppose -r + 0*r + 7 = 0. Suppose -2*h + r = -11. Let v = 27 + -2. Calculate the remainder when v is divided by h.
7
Suppose -4*w + 118 = 38. What is the remainder when 79 is divided by w?
19
Let v(s) = s**3 + 9*s**2 + 5. Suppose 3*f - 3*t = -8*t + 6, -34 = -4*f + 2*t. What is the remainder when f is divided by v(-9)?
2
Let r(d) = -2*d**3 + 9*d**2 - d + 5. Let m be r(6). Let q = -74 - m. What is the remainder when q is divided by 18?
17
Let b be 67/4 - (-1)/4. Let p be ((-4)/(-6))/(2/(-30)). Let g = p + b. Calculate the remainder when g is divided by 3.
1
Suppose 6*h = 3*h + 177. What is the remainder when h is divided by 12?
11
Let f be 2/(-6) - 259/(-3). Suppose -3*m = 11 - f. Suppose 42 = 7*g - 21. Calculate the remainder when m is divided by g.
7
Suppose 6 = 3*v - 33. Let t = v - 3. Calculate the remainder when t is divided by 4.
2
Let m(d) = 6*d - 4. Let f be m(-3). Let k = 44 + f. What is the remainder when k is divided by 6?
4
Let g(w) = 7*w**3 - 3*w**2 + 5*w - 1. Calculate the remainder when g(2) is divided by 19.
15
Let f(h) = 23*h**2 + h - 1. Let z = -12 + 10. What is the remainder when f(z) is divided by 23?
20
Suppose 5*q - 132 = q. Calculate the remainder when q is divided by 8.
1
What is the remainder when 219 is divided by 1*((1 - 4) + 3) - -44?
43
Suppose -25 = d - 77. Calculate the remainder when d is divided by 11.
8
Let o = 99 + -59. What is the remainder when o is divided by 14?
12
Let c = -10 - -18. Suppose 0*q + 105 = 5*q. What is the remainder when q is divided by c?
5
Let j(r) be the second derivative of r**5/20 - r**3/6 + 6*r**2 - 2*r. Let t be 3/(-4) - (-9)/12. Calculate the remainder when 23 is divided by j(t).
11
Let k = -38 + 65. What is the remainder when k is divided by 15?
12
Suppose -3*j - c + 96 = 3, 4*j - 4*c - 108 = 0. Let y = 47 - 31. Calculate the remainder when j is divided by y.
14
Let i(b) = -13*b**2 - b**3 - 16 - 14*b + 1 + 1. Suppose -2*l = -6*l - 48. Calculate the remainder when 18 is divided by i(l).
8
Let b be 117/(-27) + 4/(-6). Calculate the remainder when 22 is divided by b*((-18)/(-5))/(-3).
4
Let w(d) = -2*d + 5. Let b(z) = -z - 2. Let x be b(6). What is the remainder when 61 is divided by w(x)?
19
Suppose -18 = -3*g - m, 0*g - 2*m = -3*g + 9. Calculate the remainder when 3*4/6 + 6 + 0 is divided by g.
3
Let j = -76 - -101. What is the remainder when 98 is divided by j?
23
Suppose -5*c + 2*c = 3*r - 48, -4*c - 3*r = -65. What is the remainder when c is divided by 6?
5
Let b(h) be the first derivative of h**2/2 - 7*h + 2. Let q be b(7). Suppose v - 3*v + 38 = q. What is the remainder when 56 is divided by v?
18
Calculate the remainder when 18 is divided by 5 + 6/(3 + 0).
4
Let n(z) = z**3 - 2*z**2 - 3*z - 8. Calculate the remainder when n(6) is divided by 12.
10
Let x(q) = 20*q**2 - q - 1. Let b(z) = z**2 + z - 1. Let l be b(-2). Suppose -2*t + l = -3*t. What is the remainder when x(t) is divided by 11?
9
Suppose 14*j - 2*z - 396 = 11*j, 2*j = -z + 271. What is the remainder when j is divided by 47?
40
Let t be 28/(-6) - 3/9. Let f = 11 - t. Suppose 0 = -4*s, s - 36 = -4*o - 2*s. What is the remainder when f is divided by o?
7
Let r = 27 - 24. Suppose 48 = -r*g + 5*g. What is the remainder when g is divided by 13?
11
Let c be (4 - 3 - 1) + 6. Let q(b) = -6*b - 1. What is the remainder when 62/c*(1 + 2) is divided by q(-2)?
9
Let t(m) = m**3 + m + 34. Suppose -r + 13 = -5. Calculate the remainder when t(0) is divided by r.
16
Suppose -3*c + 3*h + 354 = -0*c, 0 = 3*c - 2*h - 359. Let n = 33 - 2. Calculate the remainder when c is divided by n.
30
Let f(q) = -9 - 1 + 2*q + 2. Let a(x) = x**2 - 6*x + 3. What is the remainder when a(7) is divided by f(6)?
2
What is the remainder when 15 + (2 - 2/(-2)) is divided by 11?
7
Let j(l) = l**3 - 2*l**2 - 3*l + 4. Calculate the remainder when 14 is divided by j(3).
2
Calculate the remainder when 393 is divided by (-5)/(-2)*(-132)/(-5).
63
Let d(x) = -5*x - 1 + 3*x - 22*x. Calculate the remainder when 67 is divided by d(-1).
21
Let x be 4/(-2) + 320/4. Let u = x - 42. Calculate the remainder when u is divided by 19.
17
Suppose -2*f + 18 = f + 3*l, 0 = f + 3*l. Let s be (3/f)/(2/36). What is the remainder when 28 is divided by 7 + s/(-4)*-2?
8
Let y(g) be the first derivative of g**3/6 - 7*g**2/2 - g + 1. Let f(q) be the first derivative of y(q). Calculate the remainder when f(9) is divided by 1.
0
Let w(q) = -q**3 + 5*q**2 + 5*q - 2. Calculate the remainder when w(5) is divided by 7.
2
Let k(q) = q + 8. Calculate the remainder when 36 is divided by k(5).
10
Suppose 0 = -23*x + 2239 - 123. What is the remainder when x is divided by 32?
28
Let b(p) = 5*p + 2. Let d = 57 + 2. Suppose -5*a + 241 = 2*h, 4*a = 3*a - 4*h + d. What is the remainder when a is divided by b(2)?
11
Suppose k - 5*g = -0*k + 16, -7 = -k - 4*g. What is the remainder when 30 is divided by k?
8
Let w be 148/(-3) + 3/9. Let a = w + 73. What is the remainder when 46 is divided by a?
22
Let o(s) = s**3 - s**2 + s + 66. What is the remainder when o(0) is divided by 17?
15
Suppose 0 = 5*t - r - 0*r - 21, 0 = t + 2*r - 2. Suppose -2*n = 2*n - 12. Calculate the remainder when t is divided by n.
1
Let y = -46 - -64. Calculate the remainder when 35 is divided by y.
17
Suppose 0 = -5*q + 8*q - 150. What is the remainder when q is divided by 17?
16
Let r = 3 + 2. Suppose -2*g = g - 9. What is the remainder when r is divided by g?
2
Calculate the remainder when 4*57/6 + 3/(-1) is divided by 18.
17
Let k = 26 + -11. Calculate the remainder when 29 is divided by k.
14
Let r = 1 + -5. What is the remainder when 37 is divided by 13/r*(-10 - -6)?
11
Let z = -97 + 113. Calculate the remainder when 47 is divided by z.
15
Suppose 0 = -5*q + 30 + 95. Calculate the remainder when 174 is divided by q.
24
Suppose 4*o + s + 261 = 0, 0*o + 3*o + 187 = s. Let q = 99 + o. Let j(u) = u**3 + 6*u**2 + 5*u + 6. What is the remainder when q is divided by j(-4)?
17
Suppose -170 = -i - 24. Let w = i - 101. What is the remainder when w is divided by 12?
9
Let m(j) = 4*j + 3. Let c(n) = -3*n + 10. What is the remainder when c(-16) is divided by m(3)?
13
Let l(n) = n - 1. Let p be l(5). Let t(b) = b - 23. Let k be t(0). Let m = p - k. What is the remainder when m is divided by 7?
6
Let w = 94 - 66. Let y be (-2)/4 - (-31)/2. Suppose 0*i - i = -y. Calculate the remainder when w is divided by i.
13
Suppose p - 72 = 4*o, 2*p = o - p + 18. Let i be (-44)/36 - 4/o. Let n = 2 - i. What is the remainder when n is divided by 2?
1
Let x(n) = -n**3 - 4*n**2 - 5*n - 4. Let m be x(-3). Suppose 93 = o + m*o. What is the remainder when o is divided by 8?
7
Suppose 5*n - 711 = -161. Suppose -n = -t - t. Suppose 0 = -2*f - 3*f + t. What is the remainder when 41 is divided by f?
8
Suppose l - 5 = -0*l, -3*v + 217 = -l. Let q be (-6)/21 + v/