Suppose -5*m = -2*w + 5, 5*w - 29 = -6*m + i*m. Calculate the remainder when 4 is divided by m.
0
Let f(n) = 36*n + 68. Let p(a) = 6*a**2 - 4*a + 2. Calculate the remainder when f(0) is divided by p(2).
14
Let p(b) = -b**3 - 22*b**2 + 195*b + 11. What is the remainder when p(-29) is divided by 12?
3
Suppose -4*i - 3*s = -0*i - 28, 5*s + 50 = 3*i. Let d be (4/i)/((-6)/(-1890)). Let v = d + -80. What is the remainder when v is divided by 24?
22
What is the remainder when ((-702)/(-15))/(-9)*-5 is divided by 11?
4
Let s = 30 - -45. Calculate the remainder when s is divided by 22.
9
What is the remainder when 83 is divided by 19 + -10 + (-1 - -9)?
15
Let k(o) = 15*o - 3. Let j be k(3). Suppose 54 = 4*z - 5*w + 3, -3*z + j = -3*w. Calculate the remainder when 111 is divided by z.
16
Suppose -2*c = -0*c. Calculate the remainder when (c - 2) + 19 + -3 is divided by (-12)/10*-2 + 9/15.
2
Suppose -45*i + 70 = -41*i - 2*d, 85 = 3*i + 5*d. What is the remainder when (4 - 3)*97*1 is divided by i?
17
Let z(p) = p**2 - 3*p - 6. Suppose -s + 33 = 4*a + 2*s, s - 3 = 0. Suppose -5*u + 6*u - a = 0. Calculate the remainder when 22 is divided by z(u).
10
Let c = 1886 + -1856. Calculate the remainder when 45 is divided by c.
15
Suppose -24 = 9*k - 132. Suppose k*c - 20 = 8*c. What is the remainder when 7 is divided by c?
2
Let f(a) = a**3 - 60*a**2 - 180*a - 110. What is the remainder when f(63) is divided by 127?
76
Let x(n) = -n**3 - 26*n**2 + n + 35. Suppose -5*k = -4*f + 1704, 3*k + 1556 = -5*f + 541. What is the remainder when (-2)/7 - k/14 is divided by x(-26)?
6
Suppose 53*v - 1697 + 584 = 0. Calculate the remainder when 74 is divided by v.
11
Let v be 3/3 + (-4 - -3 - -3). Suppose v*i - 649 = -5*o, -4*i + i - o = -641. Calculate the remainder when i is divided by 24.
21
Let t = 159 - 252. Let g = -55 - t. What is the remainder when g is divided by 10?
8
Calculate the remainder when 255 is divided by (-2)/((-327)/(-111) + -3).
33
Let d be (-27)/18*88/(-3). Suppose -37*o - 665 = -d*o. Calculate the remainder when o is divided by 16.
15
Let t(o) = 10*o + 31. What is the remainder when t(-2) is divided by (-6)/9 + 46/6?
4
Let a(f) = 4*f - 18. Let y be a(9). Suppose 4*h = 102 - y. What is the remainder when 121/2 - (-1)/2 is divided by h?
19
Let v(c) = -c**2 + 18*c + 3. Let n be -15*((-8)/12)/2. Suppose 2 = 2*f, -3*u - 3*f + n = -46. Calculate the remainder when v(u) is divided by 9.
8
Suppose -2*u + 10 = 0, 5*u = -5*c - 0*u + 350. Suppose 4*i - 68 = -0*i. What is the remainder when c is divided by i?
14
Let k be (-4 - 12)*(-5)/((-5)/4). Let l = k + 72. Calculate the remainder when 21 is divided by l.
5
Let w(t) be the first derivative of t**3/3 + 2*t**2 - 5*t + 8. Let f be (-2)/(-5) + 32/(-5). Calculate the remainder when 19 is divided by w(f).
5
Suppose 4*g - 2*u - 274 = 0, 2*g = 4*g - 5*u - 141. Suppose -9*y + 144 + 171 = 0. Let b = 58 - y. What is the remainder when g is divided by b?
22
Suppose 0 = 5*o + 4*z - 106, 3*z + 24 = 2*o - 0*o. Suppose 0 = -4*c + 141 - 61. Let j = c + o. Calculate the remainder when j is divided by 13.
12
Suppose 0 = 2*p + 2*g - 496, -2*p + 6*p + g = 986. Suppose 5*n - n = 20. Suppose -p = -n*x - 1. What is the remainder when x is divided by 17?
15
Suppose k - 3*t = 99, -t = 4*k + 130 - 539. What is the remainder when k is divided by 55?
47
Let z = 189 - -5. Calculate the remainder when z is divided by 33.
29
Suppose 2*a + 276 = 5*a. Let s = a - 81. Calculate the remainder when 41 is divided by s.
8
Suppose 0 = 4*w + s + s - 10, -w - 4*s - 1 = 0. Suppose -5*m - w*m + 16 = 0. Suppose m*k + 488 = 6*k. What is the remainder when k is divided by 31?
29
Let l(m) = -m**3 + 2*m**2 + 2*m + 3. Let t be l(3). Suppose 17 = 3*z - 28. Suppose t = i - 4*i + z. What is the remainder when 12 is divided by i?
2
Suppose -4*c - 116 = -0*c. Let s = c + 52. Let w(o) = 38*o - 751. What is the remainder when s is divided by w(20)?
5
Suppose -11*j + j - 10 = 0. Calculate the remainder when 0/(-8) + 150/3 + j is divided by 17.
15
Suppose -2*g + 0*g + 4*x = -230, -4*x = 2*g - 214. Suppose 5*z - g = -31. What is the remainder when (-2)/(2*(-1)/z) is divided by 6?
4
Suppose -u + 2*a - a + 3 = 0, -5*u + 3*a + 15 = 0. Let j be (0 - u - -3) + -3. What is the remainder when ((-35)/j)/(6/18) is divided by 6?
5
Let i(s) be the second derivative of s**4/12 - s**3/3 - s**2 - 2*s. Let r be i(4). Let u(h) = h**2 - h - 7. What is the remainder when u(r) is divided by 7?
2
Let m(h) = h**3 - 18*h**2 + 25*h - 18. What is the remainder when m(17) is divided by 15?
13
Let y(b) = -b**3 - 8*b**2 - b - 11. Suppose -17*t + 24 = -20*t. Let u be y(t). Calculate the remainder when 36 is divided by -13*(-1)/(-3)*u.
10
Let i(f) = f**3 - 11*f**2 - 14*f + 65. What is the remainder when 198 is divided by i(12)?
34
Let j be (-4 - -1)/((-30)/380). Suppose -3*v - j = -2*b, -76 = -4*b + 5*v - v. What is the remainder when 55 is divided by b?
17
Suppose 4*q + 14 = 2*q. Let r(h) = h**2 + 6*h + 15. What is the remainder when (-1 - q/2)*34 is divided by r(-7)?
19
Let a(k) = k**3 - 7*k**2 - k + 13. Let d be a(7). Suppose -d*y - 6 = -7*y. What is the remainder when y is divided by 6?
0
Let i = -86 - -87. Calculate the remainder when ((-46)/i)/(-19 + 17) is divided by 10.
3
Suppose -y - 91 = -4*v, 0 = -7*v + 3*v - 2*y + 94. Let s = 142 - v. Calculate the remainder when s is divided by 15.
14
Let o(j) = -54*j**2 + 7*j - 10. Let m be o(3). What is the remainder when 187 is divided by ((-8)/(-10))/((-10)/m)?
35
Suppose r + 32 = 81. Calculate the remainder when 99 is divided by r.
1
Let q = 21 + 19. Calculate the remainder when 198 is divided by q.
38
Let x = -137 + 352. Suppose 2*o - 148 = s, 3*o + 3*s - x = s. Calculate the remainder when o is divided by 25.
23
Let c(j) = 3*j**2 - 3*j + 5. Let y be c(3). Let n = 78 - y. What is the remainder when n is divided by 14?
13
Suppose 2667 = -13*c + 12014. What is the remainder when c is divided by 36?
35
Let k be 2/((-2)/(-60)*3). Let t = k - -5. Suppose -b - 5 + t = 0. What is the remainder when b is divided by 11?
9
Suppose 5*p = d - 133, -4*p - 8 - 108 = 4*d. Calculate the remainder when (-342)/p - (-1 - (-2)/3) is divided by 4.
1
Let f(z) = 33*z + 34. Let t be f(5). Suppose -5*h + d = -t, 5*d = -0*h - 2*h + 58. Let m(j) = -15*j**3 + j. Calculate the remainder when h is divided by m(-1).
11
Let h = -32 + 35. Suppose -2*j - 2*b + 24 = 0, h*j + 1 - 5 = 5*b. Calculate the remainder when 22/(3 - (-2)/(-1)) is divided by j.
6
Let c(f) = -5*f - 8. Let u = 8 + -8. Suppose u = 5*s - 26 + 1. Calculate the remainder when c(-5) is divided by s.
2
Calculate the remainder when 4/(-10) + 3432/30 + 0 is divided by 13.
10
Suppose -23 = -2*h - 3*u, -5*h + 2 + 43 = 5*u. Suppose -h = 2*p + 20. Calculate the remainder when 6/p + 14/4 is divided by 2.
1
Let x = 126 + -75. Suppose 2*w + 3*q = -0*w + 19, 3*q = 3*w - x. Calculate the remainder when 41 is divided by w.
13
Let q = -9 - -19. What is the remainder when (-1)/2 + (-5 - 202/(-4)) is divided by q?
5
Suppose -39 - 17 = -4*i. Let b = -26 - -7. Let u = 27 + b. What is the remainder when i is divided by u?
6
Suppose -y = y - 4. Suppose -5*z = -y*z - 126. Calculate the remainder when z is divided by (1 - 0/1) + 8.
6
Let b(h) = 96*h - 1. Calculate the remainder when b(8) is divided by 110.
107
Let o(r) = -r + 3. Let v be o(10). Let j be 2/(((-21)/(-54))/v). Calculate the remainder when 28 is divided by 1/(j/40 - -1).
8
Suppose -2*h - 140 = -4*h. Calculate the remainder when h is divided by 45*((-6)/8 + (-253)/(-220)).
16
Suppose 12 = 4*w, t + 4*w + 0 = 74. What is the remainder when 197 is divided by t?
11
Suppose 0 = -k - 43*k + 1012. Suppose 4*n + 680 = 5*z + 5*n, 2*n + 680 = 5*z. What is the remainder when z is divided by k?
21
Let r = 140 - 83. Let g = 35 - r. Let v = -14 - g. What is the remainder when 39 is divided by v?
7
Let b(w) = -2*w**2 + 18*w. What is the remainder when 192 is divided by b(2)?
24
Calculate the remainder when (-6)/48 + 8/192*38379 is divided by 50.
49
Let h(u) = -u**2 + 5*u + 17. Let p be h(9). Let r = 53 + p. Calculate the remainder when 64 is divided by r.
30
Let i = 15 - 13. Let m be (-8)/(-4) + (i - 1). What is the remainder when 1*(3 - m - -89) is divided by 30?
29
Suppose -q + 28 = -5