ate the remainder when n is divided by 14.
12
Suppose 4*a + 24 = -4. Let q be ((-2)/(-2))/((-1)/163). What is the remainder when 68 is divided by 2/a + q/(-7)?
22
Suppose 1 = -2*z + 37. Calculate the remainder when 51 is divided by z.
15
Suppose 25 = 5*f - 0. Suppose -k - f*w + 94 = 23, -5*k + 355 = 4*w. Suppose 0 = -t - 0*t + 24. Calculate the remainder when k is divided by t.
23
Suppose 0 = 23*y - 16*y - 182. Calculate the remainder when 101 is divided by y.
23
Let l be (-4)/2 + (-1 - -24). Let q = 36 - l. Let k = 90 - 47. What is the remainder when k is divided by q?
13
Let p(j) = -2*j**2 - 8*j - 14. Let k(h) = h**2 + 3*h + 5. Let b(u) = 8*k(u) + 3*p(u). What is the remainder when 30 is divided by b(-3)?
14
Suppose h - g = -5*g + 65, -5*h + 300 = -5*g. Let m = 106 - h. Calculate the remainder when m is divided by 16.
13
Let v(g) = g**2 - 4*g - 6. Let y be v(5). Let q = 1 - y. Calculate the remainder when 39 is divided by (16/(-6))/(q/(-15)).
19
Let q be (-6)/(-15) + (-16)/(-10). Suppose -q*g + 69 = g. Calculate the remainder when g is divided by ((-9)/(-4))/((-6)/(-32)).
11
Let d(i) = -2 - i + 4*i**2 + 2*i + 7*i. Let t be d(-7). Suppose 3*n + 0*n = t. What is the remainder when n is divided by 16?
14
Let v(l) = 5*l - 27. Calculate the remainder when v(12) is divided by 12.
9
Suppose -2*d - x = 4*x - 150, 4*x + 271 = 3*d. What is the remainder when d is divided by 11?
8
Let o(i) = 5*i + 8. Let u be o(-7). Let x = 11 - u. What is the remainder when (x/(-4) - -1)*-2 is divided by 9?
8
Suppose -7*m = -12*m. Suppose -27 + m = -z. Calculate the remainder when z is divided by 6.
3
Suppose -7*h + 2*h = 2*k - 85, -5*k + 85 = 5*h. Let x(w) = 3*w - 4. What is the remainder when x(4) is divided by 3/18 - h/(-6)?
2
Suppose 0 = -4*q - 6 + 2, -a - 2 = 4*q. Let n(j) be the first derivative of -j**4/4 + 4*j**3/3 + 3*j**2 + 3. What is the remainder when n(5) is divided by a?
1
Suppose 5*k - 20 = 60. Let i(z) = z + 3*z - z + 4. What is the remainder when i(9) is divided by k?
15
Let y(n) = -2*n - 1. Let a be (-3)/(-9)*0 - -1. Let b be a*-2 + -4 + 2. What is the remainder when y(b) is divided by 4?
3
Let s(k) = k**3 + 4*k**2 - 5*k. Let q be s(-5). Let h(d) = -d**2 + 8. What is the remainder when 31 is divided by h(q)?
7
What is the remainder when 126 is divided by 35 - (2 + (-4)/(-4))?
30
Let o = 5 - 0. Suppose -4*b + 45 = o. Calculate the remainder when 19 is divided by b.
9
Let c be 264/4 + -1 + 2. Let q = c - 31. Suppose -3*h = 3*z - q, -3*h + 0*h = z - 20. Calculate the remainder when 22 is divided by z.
6
Suppose 0 = 3*l - m - 97, -2*l + 10*m + 48 = 6*m. What is the remainder when l is divided by 10?
4
Let d(a) = 7*a - 1. What is the remainder when d(1) is divided by 4?
2
Let y(k) = -2*k + 8. Suppose 24 = -5*o + 64. What is the remainder when ((-70)/o)/((-1)/4) is divided by y(-5)?
17
Let n be (-3)/9 + 88/12. Suppose n*o = 4*o + 174. Calculate the remainder when o is divided by 15.
13
Suppose -4*b + 12 + 10 = -a, 0 = -3*b + 5*a + 25. Suppose 4*w + 99 = b*t, -2*t + 6*t - 88 = w. Let y = -20 + 28. Calculate the remainder when t is divided by y.
7
Suppose -n + 275 = 5*w - 0*n, -4*n = -4*w + 244. Suppose 4*c - w = -20. Calculate the remainder when 16 is divided by c.
7
Suppose -52 = m - 5*m. Calculate the remainder when 38 is divided by m.
12
Suppose 5*n = f - 14 + 100, 4*n + 2*f = 80. Let r = -3 + 5. Calculate the remainder when n + r*(1 + 0) is divided by 11.
9
Let j be ((-4)/8)/(1/78). Calculate the remainder when (-1047)/j + 4/26 is divided by 10.
7
Suppose -75 = -5*q - 2*v - 3*v, -5*q + 5*v = -85. Let i = -3 + q. Calculate the remainder when 36 is divided by i.
10
Let k(o) = 2*o**2 - 5*o. Let n be k(4). Suppose -n = -g - 3*g. Suppose -14*z - 10 = -16*z. What is the remainder when z is divided by g?
2
Suppose 3*p + 15 - 66 = 0. Suppose -5 + 23 = 2*c. What is the remainder when p is divided by c?
8
Let t(r) be the first derivative of r**4/4 - 11*r**3/3 + 7*r**2 - 11*r - 3. Let m be t(9). Let o = m - -66. Calculate the remainder when o is divided by 10.
9
What is the remainder when 66 is divided by (-84)/(-21)*(-18)/(-4)?
12
Let f(p) = 2*p**2 + 2*p - 7. What is the remainder when 17 is divided by f(2)?
2
Suppose 5*c - 27 - 53 = 0. Calculate the remainder when ((-177)/(-2) - (-9)/(-6))/3 is divided by c.
13
Suppose 3*s = -s + 568. What is the remainder when s is divided by 24?
22
Let f(j) = j**2 - j + 5. Let x = -9 + 5. What is the remainder when 73 is divided by f(x)?
23
Suppose 12*m - 14*m = -18. Calculate the remainder when 24 is divided by m.
6
Let o(n) = n**2 - 9*n. Let k be o(7). Let c be (-7)/(k/(-4)) - -3. Let d = 3 + c. What is the remainder when d is divided by 3?
1
Let w(k) = 3*k - 1. Let x(s) = s - 4. Let g be x(5). Let r be w(g). Suppose -5*t = -2*b + 6*b - 13, 7 = r*t + b. What is the remainder when 13 is divided by t?
3
Let m(n) = -n**3 - n**2 + 3*n + 2. Let x be m(-2). Calculate the remainder when 4 - (x/(-1) - 68) is divided by 25.
22
Suppose -j - 6 = -0*j. Let v(f) = f**3 + 7*f**2 + 5*f - 7. Let x be v(j). Let b = x + 25. What is the remainder when b is divided by 13?
11
Suppose -p = 2*j - 6, 0 = j - 3*j - 4*p. Let c(q) = 6*q**2 + 1. Calculate the remainder when c(-1) is divided by j.
3
What is the remainder when 3*(-2)/6 + 134 is divided by 27?
25
Calculate the remainder when 43 is divided by (-2)/3*(-66)/4.
10
Let m(l) = 2*l - 9. Let g be m(6). What is the remainder when -1 - 0 - (-55 - 3) is divided by ((-5)/g)/(4/(-36))?
12
Suppose -5*w + w = -392. What is the remainder when w/(2 - 0)*1 is divided by 13?
10
Let k be 38/(-8)*2*-2. Suppose w = x + k, x + x = -5*w + 109. What is the remainder when 40 is divided by w?
19
Suppose -22 = -3*n + n. Suppose m + n = 100. What is the remainder when m is divided by 23?
20
Suppose 0 = -16*r + 66 + 78. What is the remainder when 32 is divided by r?
5
Let f(g) = g**3 + 16*g**2 - 17*g + 13. What is the remainder when 30 is divided by f(-17)?
4
Suppose 1 = 5*o + 4*i, o + 2*i + 4 = 3. Let h be (6/9)/(o/3). Suppose 0*d - h*d = -16. Calculate the remainder when 23 is divided by d.
7
Let u = 104 + -66. What is the remainder when u is divided by 14?
10
Suppose 5*z = -3*h + 61, h = -z + 3 + 16. Suppose 3*j = 3*d + 132, 2*d = 5*j - 0*d - 232. Calculate the remainder when j is divided by h.
14
Let v(r) = r**3 + 5*r**2 - 2*r + 1. Calculate the remainder when v(-3) is divided by 9.
7
Let q = 95 + -61. What is the remainder when q is divided by 9?
7
Let p = -4 + 4. Suppose a + 41 = 3*o, p = -0*o + o + 5*a - 19. Calculate the remainder when 26 is divided by o.
12
Suppose 10*w - 39 = 101. Calculate the remainder when 66 is divided by w.
10
Let l(p) = p**3 - 3*p**2 - 3*p - 1. Calculate the remainder when l(5) is divided by 7.
6
Let v = -38 + 115. What is the remainder when v is divided by 16?
13
Suppose 0 = -l + 3 - 2. Suppose 3*i + z - 30 = 0, -2*z - 5 = l. Suppose -f + 40 = 3*b, -3*f - 65 = -5*f - b. What is the remainder when f is divided by i?
9
Let a = -23 - -71. Calculate the remainder when a is divided by 25.
23
Let w(p) = p**3 - p**2 + 5*p - 7. What is the remainder when w(5) is divided by 30?
28
Suppose 8*w = 4*w + 32. What is the remainder when 2/(2/1) - -14 is divided by w?
7
Let j(w) be the third derivative of -5*w**4/8 + w**3/2 - 2*w**2. Let d(g) = -g - 1. Let u(t) = -4*d(t) - j(t). What is the remainder when u(1) is divided by 11?
9
Suppose 4*c - 21 = -3*c. Calculate the remainder when (-30)/9*(-6)/4 is divided by c.
2
Suppose -20 = -4*n + 4*f, 2*f = -5*n + 6*f + 29. Calculate the remainder when n is divided by 3.
0
Let b(j) = -j**3 - 7*j**2 + 3. Let a be b(-7). Suppose x - 10 = -x. Suppose x*r - 131 = -a*z, r + 8 = -3*r. Calculate the remainder when z is divided by 12.
11
Suppose 20 = 2*t + 2*t, -4*t = -3*i + 7. Calculate the remainder when 24 is divided by i.
6
Let v be 3 - 3 - 65/(-1). Suppose -5*o = -3*u - 71, -4*u - v = -5*o + u. What is the remainder when 45 is divided by o?
13
Let m(q) be the second derivative of -q**3/2 + 3*q. Suppose 4*z + 0 = -h - 9, -4*h + 2*z - 18 = 0. Calculate the remainder when m(h) is divided by 8.
7
Let r(o) = -18*o**3 - o**2 - 5*o + 1. Let n(v) = v**3 + v. Let w(j) = 6*n(j) + r(j). Calculate the remainder when 62/1*2/4 is divided by w(-1).
9
Let o = -85 + -165. Wh