 the second derivative of q**4/12 - q**3/2 - 7*q**2/2 - q. Let d be p(5). Let s = d - -1. What is the remainder when 7 is divided by s?
3
Let g(i) = i**3 - 7*i**2 + 7*i - 2. Let w be (-7)/(-2) - 3/6. Let k be (14 - 5)*2/w. Calculate the remainder when g(k) is divided by 3.
1
Suppose -3*m = -0*m - 6. What is the remainder when 51 is divided by (0 - m)/((-12)/78)?
12
Let j(a) = 10*a - 4. Let l be 27/(-6)*(-2)/3. Calculate the remainder when j(l) is divided by 14.
12
Let d = -7 + 10. Suppose 0 = -6*i + d*i + 24. Calculate the remainder when i is divided by 5.
3
Suppose 13 = 13*i - 39. Let c = -8 - -19. Calculate the remainder when c is divided by i.
3
Let m = -2 + 0. Suppose 0 = -3*t + 4*j + 60, 0*t - 36 = -t - 4*j. What is the remainder when m*(-46)/(4 - 2) is divided by t?
22
Suppose -5*m + 56 = -m. What is the remainder when 33 is divided by m?
5
Suppose -4*s - r = 4*r, 5*s = 4*r. Let c(o) = -o**3 + o**2 + o + 26. Calculate the remainder when c(0) is divided by -1 + (s - (-13 - 2)).
12
Calculate the remainder when (-6)/4*(-100)/6 is divided by 13.
12
Suppose -88 = -3*c - 4*v, -c = -4*v + 9*v - 44. Suppose d = -m + 3*d + 79, 3*m = -3*d + 201. Calculate the remainder when m is divided by c.
23
Let v = -49 + 69. What is the remainder when 14/(((-16)/v)/(-2)) is divided by 13?
9
Let v(c) be the second derivative of c**4/12 + 4*c**3/3 + 6*c**2 + 5*c. Suppose 33 = -b + 4*b. Calculate the remainder when v(-9) is divided by b.
10
Let o(s) = 2*s**2 - 4*s - 1. Let g be o(5). Let d = g + -123. What is the remainder when (d/4)/((-10)/20) is divided by 24?
23
Suppose -d - 7*d = -272. Calculate the remainder when 65 is divided by d.
31
Let i(x) = x**2 - 5*x + 5. Let q = 10 - 2. Let y be i(q). Suppose 2*j - 4 = 3*j, y = 5*v + 4*j. What is the remainder when 25 is divided by v?
7
Suppose a + 24 = 5*a. What is the remainder when a is divided by 4?
2
Let g(h) = h**3 + 6*h**2 + h - 2. Let l be g(-4). Suppose -2 - l = -2*i. What is the remainder when i is divided by 8?
6
Suppose 0 = -5*l + 4*l + 3*h + 36, -4*l + 104 = -4*h. What is the remainder when l is divided by ((-36)/(-15))/((-9)/(-30))?
5
Let q(o) = -o**2 + 18*o + 10. Let l = 40 + -12. Calculate the remainder when q(15) is divided by l.
27
Suppose b - 17 = -5*n, -b - 7 = -n - 0. Suppose j - 2*j + 44 = -4*s, 0 = -n*j + s + 176. Let z = 85 - j. What is the remainder when z is divided by 14?
13
Suppose 0 = -q + b + 12, -3*b - 32 - 12 = -4*q. What is the remainder when 28 is divided by q?
4
Calculate the remainder when 17 is divided by (20/(-7))/((-10)/35).
7
Let v(i) = -3*i**2 + 2*i - 3. Let k(y) = 7*y**2 - 4*y + 5. Let j(c) = 4*k(c) + 7*v(c). Calculate the remainder when 15 is divided by j(-1).
7
Let s(a) = -3 + 2 - a + a + 4*a**2. Let l(g) = -g**3 - 4*g**2 + 4*g - 6. Let f be l(-5). What is the remainder when 8 is divided by s(f)?
2
Suppose -13 = -2*r - 5*i, -4*r + 3*r - 3*i + 7 = 0. Suppose -2*v = -r*v + 92. Calculate the remainder when v is divided by 1 + -7 - -22*(12 + -11).
14
Let y(t) = -t**3 + t**2 + t + 18. Calculate the remainder when 33 is divided by y(0).
15
Suppose 0 = 5*x + 3*f - 40, -5*x + 20 = -f - 20. Calculate the remainder when 23 is divided by x.
7
Let i(v) = v**3 - 19*v**2 + 20*v - 18. Calculate the remainder when 125 is divided by i(18).
17
Suppose 0 = -5*a - 5*h, -2*a + 0*h + 9 = -h. Calculate the remainder when a is divided by 3.
0
Let m(y) = -y**2 + 12*y + 8. Let q be (2 + -3)/(2/(-24)). What is the remainder when 22 is divided by m(q)?
6
Suppose -3*j = -0*j + 3. Calculate the remainder when j/2*(-14 + 4) is divided by ((-1)/3)/((-3)/18).
1
Suppose 0 = 2*k - 2 - 6, -5*y + k + 21 = 0. Suppose x + 40 = y*x. What is the remainder when ((-16)/20)/(2*(-2)/90) is divided by x?
8
Let m = 3 + -3. Suppose m = -4*p + 20 - 4. What is the remainder when (p/(-3))/(2/(-15)) is divided by 4?
2
Let k(h) = 3*h - h - 10 + 2 - 6*h. What is the remainder when 58 is divided by k(-7)?
18
Suppose 3*f = -5*o - 77 + 10, -5*f + 4*o - 161 = 0. Let d = 62 + f. What is the remainder when d is divided by 12?
9
Suppose 9*q = 32*q - 2484. What is the remainder when q is divided by 57?
51
Let m = -3 + 8. Suppose 5*p = m*x + 60, 3*x + 16 = 2*p - 12. Let n = 35 + -12. What is the remainder when n is divided by p?
7
Suppose -o - 3*f = 46, -5*o = -2*o + 5*f + 126. Suppose -5*g - 3*b = -2*g - 207, 138 = 2*g - b. Let q = g + o. What is the remainder when q is divided by 11?
10
Let q = 10 + -6. Suppose 29 = 2*c - 23. Suppose 3*j + 0*j - c = -q*z, 3*j - 32 = 2*z. Calculate the remainder when 19 is divided by j.
9
Let n = -10 - 7. Let y = n - -30. Calculate the remainder when y is divided by 5.
3
Suppose -3*l + 443 = -247. Suppose -4*k + 0*k + l = 5*s, 2*k + 260 = 5*s. Let h = s + -18. Calculate the remainder when h is divided by 11.
10
Suppose -2*i + 60 + 94 = 0. What is the remainder when i is divided by 20?
17
Suppose 2*n + 17 = 5*n + 2*s, -5*n + 3*s = -60. Let l(f) = -3*f - 1. What is the remainder when l(-6) is divided by n?
8
Let m = 190 - 137. Let c = -30 + 44. Calculate the remainder when m is divided by c.
11
Let l = 4 - 2. Let v(h) = -6*h**3 - 3*h**l + 3*h**3 + 4*h**3 + 1. Calculate the remainder when v(4) is divided by 6.
5
Let l = 14 - 10. Suppose 0 = l*s - 5*j - 72, 4*j - 49 = -9*s + 4*s. What is the remainder when 36 is divided by s?
10
Suppose -3*o = -6*o + 102. Let n(r) = 2*r - 4. What is the remainder when o is divided by n(8)?
10
Let k(r) = -63*r**2 + 2*r + 7. Let a(h) = 94*h**2 - 3*h - 10. Let o(s) = 5*a(s) + 7*k(s). What is the remainder when o(-1) is divided by 62/6 - 1/3?
9
Suppose 0*p + 3*p - 114 = 0. What is the remainder when p is divided by 20?
18
Let b = -474 + 508. Let p(u) = -12*u**3 - u**2 - u. Calculate the remainder when b is divided by p(-1).
10
Let j = 282 - -17. What is the remainder when j is divided by 43?
41
Let r(y) = 4*y**2 + y**2 - 4*y**2 - 6. Let h be r(0). Let i = h + 10. Calculate the remainder when 15 is divided by i.
3
Let b = 25 + -15. Let d = 78 + -72. What is the remainder when b is divided by d?
4
What is the remainder when 1 - ((-520)/4)/5 is divided by 15?
12
Suppose -120 + 8 = -8*q. What is the remainder when 38 is divided by q?
10
Let u(j) = -j - 4. Let t be u(-8). Suppose -4*h + 136 = t*o, -2*h + 3*o = -o - 68. What is the remainder when 134 is divided by h?
32
Let g be 3 + -1 - (-1 - 0). Suppose 0 = -g*i + 6, -i + 130 + 4 = 4*j. Let x(z) = z**3 - 2*z**2 + z. What is the remainder when j is divided by x(3)?
9
Let t = 114 - 95. What is the remainder when 74 is divided by t?
17
Let o(q) = 15*q**3 - 2*q**2 + q. Let c = 12 - 11. Calculate the remainder when o(c) is divided by 5.
4
Suppose 8*o = 4*o + 104. Let v(i) = i**3 + 5*i**2 + 3*i - 3. Let u be v(-3). Suppose -u*a = -3*a - 150. What is the remainder when a is divided by o?
24
Let j = -44 - -68. Suppose 3*q - j = -6. What is the remainder when 16 is divided by q?
4
Suppose -4*n + 396 = -4*o, -5*o = -5*n - 6*o + 501. What is the remainder when n is divided by 34?
32
Let p(q) = 5*q + 2. Let o be p(-2). Let v = 12 + -29. Let g = o - v. What is the remainder when 25 is divided by g?
7
Let f(u) = 2*u - 2*u**2 + 4*u**2 - 5 - u**2. What is the remainder when 28 is divided by f(-5)?
8
Suppose 0 = 4*l - 4*u, -5*l + 4*u = -0*l. Suppose -2*p + 2 + 15 = 5*m, 5*p - 5 = l. What is the remainder when 6 is divided by m?
0
Let m(o) = 206*o + 16. Let i(b) = 41*b + 3. Let s(k) = 11*i(k) - 2*m(k). Calculate the remainder when s(1) is divided by 21.
19
Let m = -318 - -489. What is the remainder when m is divided by 58?
55
Suppose 2*l - 9 = l. Suppose -4*u + 9 = -3*c - 40, c + 75 = 5*u. Calculate the remainder when u is divided by l.
7
Let l(x) = 11*x**3 - 2*x - 1. Let r(v) = -12*v**3 + v + 1. Let a(k) = -3*l(k) - 4*r(k). Let c = 250 - 241. What is the remainder when a(1) is divided by c?
7
Suppose -f + 50 = 4*f. Let a = -8 + f. Suppose 0*t = a*t - 12. Calculate the remainder when t is divided by 4.
2
Suppose 11 + 4 = -5*r. Suppose -2*f + 3*o = -0*f - 15, 0 = 5*f - 4*o - 27. What is the remainder when f is divided by -2 - (-3 + 3/r)?
1
Let y(z) = 2*z**2 - 1. What is the remainder when 47 is divided by y(3)?
13
Let d be 1/2*(6 + 6). Let f = 14 + -7. Calculate the remainder when (-78)/(-4) + (-3)/d is divided by f.
5
Suppose -s = -4*g + 88,