 5*t**2/2 + 7*t. What is the remainder when c(-6) is divided by (42/2)/((-6)/(-4))?
11
Suppose -4*k + 4 = -4*i, -4*i - 3*k = 3 + 22. Let a be 57 - i/8*6. Calculate the remainder when 63 is divided by 3*(-8)/a*-55.
19
Let l(p) = p**2 + 6*p + 3. Let o be l(-4). Let a(i) = -9*i + 11. Calculate the remainder when a(o) is divided by 19.
18
Let u = -126 + 146. What is the remainder when u is divided by 9?
2
Let f(k) = -k - k + 2*k + 40*k**2 - k. Let i(u) = u**3 - 16*u**2 + 14*u + 16. Let n be i(15). What is the remainder when f(n) is divided by 8?
7
Suppose -5*y + 2*y = -198. Suppose -4*z + 172 - 104 = 0. What is the remainder when y is divided by z?
15
Suppose 62 = 4*w + l, -w = 3*w - 5*l - 74. What is the remainder when (-16)/w - (1 - 24) is divided by 12?
10
What is the remainder when (-2)/8 - (-12719)/92 is divided by 42?
12
Suppose 2*d = 3*d - 6. Let c(m) = -m**3 + 6*m**2 + 2*m - 2. What is the remainder when (36 - -13)/(2/2) is divided by c(d)?
9
Suppose 0 = -19*n + 21*n - 4*o - 6, 43 = 5*n + 4*o. Let i(a) = -a**2 - a + 25. What is the remainder when i(0) is divided by n?
4
Let f(r) = r**2 + 4*r - 4. Let l be f(-4). Let k be (2/l)/((-2)/(-4)). Let z(t) = -37*t + 1. What is the remainder when z(k) is divided by 13?
12
Suppose -5*p = 5*f - 8 + 143, -2*f = 3*p + 80. Let b = p - -35. Calculate the remainder when b is divided by 6.
3
Suppose -5*j + 2*j = 12. Let d(m) = m**2 + 5*m + 9. Let c be d(j). Suppose c*f = 9*f - 76. What is the remainder when 37 is divided by f?
18
Let b(t) = 4*t**3 + t**2 - t. Let f be b(1). Suppose -f*j = -8*j + 84. What is the remainder when j is divided by 5?
1
Let f = 9 + -5. Suppose 0 = -9*s + f*s + 15. Let l(c) = c**2 - 18*c - 13. What is the remainder when l(19) is divided by s?
0
Suppose 4*u - 2*u - 194 = 0. Let g = u + -60. What is the remainder when g is divided by 10?
7
Let w = 642 + -590. What is the remainder when 169 is divided by w?
13
Let w = 10 - 5. Let j(o) = -o**3 + 18*o**2 - 58*o + 32. What is the remainder when w is divided by j(14)?
1
Let w be (-5110)/56 - (0 + (-3)/(-4)). Let p = w + 99. Calculate the remainder when 19 is divided by p.
5
Let o = -11 - -13. Suppose -8 = -x - x, -x = -o*n + 20. Calculate the remainder when (-4*n)/((-8)/16) is divided by 33.
30
Suppose -3*m + 5 = -0*m - 2*z, m - 5 = 4*z. What is the remainder when (-2)/(-10)*15/m is divided by 1?
0
Suppose 3*a - 2*z + 30 = 0, -4*z + 22 + 8 = -3*a. What is the remainder when 157 is divided by (3 + -3 - 4)*a?
37
Suppose 0 = 3*a + 2*j - 28 - 52, a - 27 = -j. Suppose 5*b + m = 242, -2*b - 3*m = -0*m - 89. Calculate the remainder when b is divided by a.
23
Let x(z) = z**2 - 13*z - 12. Let d be x(14). Suppose -c = -4 - d. What is the remainder when 45 is divided by c?
3
Suppose 0 = 4*d - 0*v - 4*v - 32, 4*d - 33 = 3*v. Let m = d + 53. Calculate the remainder when m is divided by 22.
18
Let q(m) be the second derivative of m**4/12 + m**3 - 9*m**2/2 + 6*m. What is the remainder when q(-10) is divided by 8?
7
Let m(p) = -16*p + 83. What is the remainder when m(-20) is divided by 29?
26
Suppose 3*b - s - 248 = 0, 5*s - 4*s = -5*b + 408. Let t = -48 - -46. What is the remainder when b is divided by 16 - ((-2 - t) + 2)?
12
Suppose 2*r = -3*r - 5. Let w be 1 + r + 36/2. What is the remainder when 4/w + 175/63 is divided by 3?
0
Let d be 11 - (-1 - -2 - 3). Let t = -9 + d. Suppose 5*f - 1 = t. Calculate the remainder when 1 is divided by f.
0
Suppose -v - 79 = -2*v. Let s = 2223 - 2202. Calculate the remainder when v is divided by s.
16
Let o = 402 + 24. Calculate the remainder when o is divided by 16.
10
Suppose 9*a - 509 = 490. What is the remainder when a is divided by 30?
21
Suppose 0*v + v = 4*p + 24, v + p - 49 = 0. Let m be (-57)/11 + 8/v. Let x(h) = -h**3 - 6*h**2 - 6*h + 4. What is the remainder when 25 is divided by x(m)?
7
Let k = 24 + -24. Suppose -11*a + 3*a + 728 = k. What is the remainder when a is divided by 19?
15
Let w(o) = 3*o + 4. Let c(j) = -4*j - 4. Let t(u) = -2*c(u) - 3*w(u). Let v = -2 + 7. Calculate the remainder when v is divided by t(-6).
1
Suppose 5*z - 14 = 1. Suppose g + 0*g = z. Suppose -g*m + n + 100 = 0, 3*m + 3*n = 126 - 42. What is the remainder when m is divided by 11?
10
Suppose x = -4*g + 301, 2*x - 368 = -5*g - 2*x. Let a = 125 - g. Calculate the remainder when a is divided by 1/(-1*2/(-26)).
10
Suppose 0 = -5*f + 4*f + 374. Calculate the remainder when f is divided by 42.
38
Suppose -5*w + 366 = 4*n, -208 - 272 = -5*n + 5*w. Calculate the remainder when 362 is divided by n.
80
Suppose -22*y + 30 = -20*y. What is the remainder when 1*(60 - 3/1) is divided by y?
12
Let o(l) = -l**3 + 4*l**2 - 4*l + 3. Let w be o(2). Suppose 2*r = w*r + 8. Calculate the remainder when ((-2)/r)/(3/492) is divided by 7.
6
Suppose -3*i = 33 - 48. Suppose -5*t = c - 132, 0 = -i*t + 6*t - 4. What is the remainder when c is divided by 23?
20
Suppose -5*f = -0*f - 335. Let h = 36 + -19. Calculate the remainder when (3 - (-8)/(-4))*f is divided by h.
16
Let m(u) = -u**2 + 10*u + 3. Let a be m(9). Suppose -4*h = -4*v + 3*v - 9, -a = -5*v + h. What is the remainder when (2/((-24)/66))/((-1)/2) is divided by v?
2
Let h be 34/6 + (-4)/6. Suppose 0*i = h*i - 705. Suppose 4*m - 146 = -3*l, -3*l + i = m + 2*m. Calculate the remainder when l is divided by 11.
9
Suppose 68 = -2*p + 4*h, 0 = -2*p - 0*h + 5*h - 63. Let d be 2/11 + (-520)/p. Let c = 3 + d. Calculate the remainder when 59 is divided by c.
14
Let r(l) = l**3 - 5*l**2 + 4*l + 8. Let t be (8 - 0)*(-17)/(-4). Let x = t + 19. What is the remainder when x is divided by r(5)?
25
Let k(m) = m**3 - 29*m**2 + 29*m - 6. Calculate the remainder when 104 is divided by k(28).
16
Let p(z) = -22*z - 9. Let a(v) = v**2 - 36*v - 42. What is the remainder when p(-5) is divided by a(38)?
33
Let a = 14 - 8. Let o(k) = 4*k**2 + 5*k + 8. Let n(m) = -m**2 - 1. Let g(l) = -6*n(l) - o(l). Calculate the remainder when g(a) is divided by 21.
19
Let p(u) = u**2 - 3*u + 2. Let n be p(3). Suppose 0*c + n*c - 6 = 0. What is the remainder when 13 is divided by c/(-2)*(-40)/15?
1
Let j = 488 - 478. Calculate the remainder when j is divided by 9.
1
Let z(a) = 2*a - 2. Let n be z(3). Suppose 2*f = n*f - 2*q, -4*f = 3*q - 21. What is the remainder when 9/(-8) + 1 - (-66)/16 is divided by f?
1
Let w(b) = 12*b + 64. Let j(o) = -4*o - 21. Let d(n) = -11*j(n) - 4*w(n). What is the remainder when d(-16) is divided by 15?
9
Let n(i) be the third derivative of i**5/60 + 2*i**4/3 + 11*i**3/3 + 29*i**2. Calculate the remainder when 41 is divided by n(-15).
6
Let m be (3 - 4) + (-3 - -5)*41. Suppose -16*h = -13*h - m. Suppose 0 = -4*z + 239 - 35. Calculate the remainder when z is divided by h.
24
Suppose 0 = -5*f + 10 - 0. Let l be (9 - 5) + (f - 1). Suppose -l*m + 35 = 5*r, -3*m + r + 1 = -20. What is the remainder when 26 is divided by m?
5
Let r(c) = -c**3 - 18*c**2 + 84*c + 2. What is the remainder when r(-22) is divided by 52?
38
Let m = 20 - 16. Suppose -m*w - 7 = -15. Calculate the remainder when w is divided by 1.
0
Let r be (-4)/(-4) + 18/(-6). Calculate the remainder when 48 is divided by (r/4)/(5 - (-707)/(-140)).
8
Suppose 13*x = 1464 + 616. Calculate the remainder when x is divided by 27.
25
Let w(n) = -n**3 + 4*n**2 + n + 8. Let j be w(4). Suppose 4*t - 24 = -j. Let z(g) = 3*g - 4. Calculate the remainder when z(t) is divided by 4.
1
Suppose 0 = -22*f + 17*f + 185. What is the remainder when 150 is divided by f?
2
Suppose -6*r + 20 = p - 4*r, -2*p + 35 = 3*r. Let t(j) = -j**2 + 11*j + 15. Let a = -95 - -167. Calculate the remainder when a is divided by t(p).
22
Let d(w) = -w**3 - 5*w**2 + 5*w + 5. Let i(j) = 2*j + 10 - 3 - 3*j + 9. Calculate the remainder when i(-16) is divided by d(-6).
10
Suppose 4*z + q - 100 = 0, -6*z + 3*q + 36 = -4*z. Let l(c) = -c**3 + 11*c**2 - 8*c + 27. What is the remainder when l(9) is divided by z?
21
Let a be (6/(-4))/((-3)/(-8)). Let n(p) = p**3 + 4*p**2 - 6*p - 4. Let q be n(a). Suppose 2*o - q = 12. Calculate the remainder when 30 is divided by o.
14
Suppose -4*o - c + 152 = 0, 0*o - c = 3*o - 113. Suppose 7*z - 13 = -t + 3*z, 5*z = t - 49. Let r = -19 + t. Calculate the remainder when o is divided by r.
9
Suppose 522 = 5*m + 8*v, 4*m - 5*v + 4*v - 388 = 0. Calculate the remainde