uppose -o - 205 = -3*t, f*t + o = 2*t + 67. Calculate the remainder when t is divided by 12.
8
Suppose -1509*m + 147 = -1502*m. Let w = -12 - -6. What is the remainder when (-3)/1*82/w is divided by m?
20
Suppose -5*d + 379 = -4*j, 7*j - 2*j - 370 = -5*d. Let l = -28 + d. Let o(s) = -s**2 - 14*s - 12. Calculate the remainder when l is divided by o(-12).
11
Let v(y) = -y**2 + 3*y - 4. Let h be v(3). Let j = 9 + h. Suppose 3*w - 5*n + 3 = 76, -j*w + 133 = 3*n. What is the remainder when 102 is divided by w?
24
Let j(w) = -15 + 13 + w**2 - 3*w + 11. Suppose -2*p + 62 = 4*b, -80 = -2*p + 2*b + 3*b. What is the remainder when p is divided by j(5)?
16
Let u = 79 + 23. Let m = -49 + u. Calculate the remainder when m is divided by 11.
9
Suppose -5*r + 2*r + 34 = 4*m, 0 = -r + 2. Calculate the remainder when (-4)/6 + 82/6 is divided by m.
6
Let l = 20 + -19. Let y be 18/(-9) + l*4. Suppose -15 = -r - y*r. Calculate the remainder when 7 is divided by r.
2
Let g = 91 + -62. Let s(f) = -8*f - 54. What is the remainder when g is divided by s(-9)?
11
Let d = -2 - -7. Suppose -d*r + r = 0. Suppose g - 3*c - 2 = r, 0*g + 4*c = -2*g + 4. What is the remainder when 7 is divided by g?
1
Let u(z) = -17*z + 11. Let a(g) = -11*g + 7. Let y(x) = -8*a(x) + 5*u(x). Let f = 312 - 271. What is the remainder when f is divided by y(4)?
8
Suppose -3*l + 192 = -2*f - 0*f, -l + 4*f + 74 = 0. Let h = 60 + 48. Let j = h - l. Calculate the remainder when j is divided by 24.
22
Let r = -32 + 47. Suppose -2*m + 300 = -6*m. Let h = -48 - m. What is the remainder when h is divided by r?
12
Suppose -2*q + 0 = -6. Suppose q*n + 16 = b, 2*n + 6 = b - 11. What is the remainder when 52 is divided by b?
14
Let t = 231 + -118. Calculate the remainder when t is divided by 18.
5
Let q be (-3)/(3 + 36/(-8)). Let v be (-2 + q)*(1 + 0). Suppose v = -z - 13 + 29. Calculate the remainder when z is divided by 6.
4
Let k(s) = -s. Let x(n) = -6*n + 7. Let b(g) = -4*k(g) + x(g). What is the remainder when b(-7) is divided by 11?
10
Let w(m) = -m**2 - 55*m - 135. What is the remainder when w(-31) is divided by 47?
45
Let v(h) = h**3 - 7*h**2 + 3*h + 3. Calculate the remainder when v(7) is divided by 18.
6
Let n = 154 + -143. Suppose 0 = 3*y - 252 - 117. Suppose 2*h = -h + y. What is the remainder when h is divided by n?
8
Let y = -1353 - -1403. Let b = 54 - 28. What is the remainder when y is divided by b?
24
Calculate the remainder when (17 - -7)/(-8) + 343 is divided by 89.
73
Let v(y) = -20*y**2 + 7 - 23*y**2 + 4 + 42*y**2. What is the remainder when 63 is divided by v(0)?
8
Suppose 38*i - 45*i + 203 = 0. Calculate the remainder when 171 is divided by i.
26
Let w(s) = s**2 + s. Let m be w(2). Suppose -19*p = -17*p - m. Suppose -r + 8 + 1 = 0. Calculate the remainder when r is divided by p.
0
Suppose -2*k - 4*o = k - 4, 4*k + 4*o = 0. Calculate the remainder when 17 is divided by 2*((-5)/(-10) - k).
8
Let k = 617 + -493. What is the remainder when k is divided by 4?
0
Suppose -18*k = -14*k + 5*t - 241, -250 = -4*k - 2*t. Calculate the remainder when 445 is divided by k.
61
Suppose -2*f - 2*b + b = -21, 5*b + 63 = 4*f. Suppose f*k - 810 = 7*k. What is the remainder when k is divided by 33?
30
Suppose 5*o + 6 = 1. What is the remainder when 1 + 2 + 0 - 4/(-1) is divided by 0 + 3 + (-1 - o)?
1
Let b(o) be the second derivative of -o**5/20 - 7*o**4/6 - 2*o**3 + 8*o**2 - 5*o. What is the remainder when 11 is divided by b(-13)?
2
Suppose -2*u = 3*f - 92, -16*u - 6 = -13*u. What is the remainder when 52 is divided by f?
20
Suppose 3*z + 4*i - 2060 = -802, -z = 5*i - 423. What is the remainder when z is divided by 14?
12
Let r(o) = -2*o**3 + 18*o**2 - 13*o - 15. Calculate the remainder when 94 is divided by r(8).
4
Let p = 525 - 791. Suppose 3*j + 273 = 5*s, 4*j = -5*s + 399 - 98. What is the remainder when s is divided by 287/19 - (-28)/p?
12
Let k = -213 - -247. Calculate the remainder when 74 is divided by k.
6
Let s = 17 - -185. Calculate the remainder when s is divided by 47.
14
Suppose -48*p = -45*p - 219. Calculate the remainder when p is divided by 25.
23
Let d(c) = -2*c**3 - 9*c**2 + 13*c + 78. What is the remainder when d(-6) is divided by 32?
12
Let r(f) = -11*f**2 - 87*f + 12. Calculate the remainder when 17 is divided by r(-8).
1
Let n = 108 + -103. Calculate the remainder when 34 is divided by n.
4
Let m(d) = -d**3 + 6*d**2 + 4*d. Suppose 0 = 5*q + 9 + 1, -4*k - 5*q - 10 = 0. What is the remainder when -3 - (k - 148/2) is divided by m(6)?
23
Let w(a) = a**3 + 50*a**2 - 17*a + 135. What is the remainder when w(-50) is divided by 99?
94
Let l(r) = r**3 + 10*r**2 + 13*r + 24. What is the remainder when l(-8) is divided by 31?
17
Let n(f) = 91*f - 724. Suppose -p = -30 + 6. What is the remainder when n(9) is divided by p?
23
Suppose -3*z - 2*n + 13 = 0, 4*z - n - 5 - 5 = 0. Suppose z*p - p = 50. Calculate the remainder when p is divided by 15.
10
What is the remainder when 104 is divided by ((-32)/(-6) + -6)/((-2)/165)?
49
Let l be (-8)/6 + 1/3. Calculate the remainder when 15 is divided by (1 + l - 4)*-1.
3
Suppose -7*z - 365 = -9*z - 3*k, 4*z - 742 = -2*k. Calculate the remainder when z is divided by 36.
7
Suppose -28 = -3*o + 4*b, -4*b + 5 = o - 15. Let f = -53 + 88. What is the remainder when f is divided by o?
11
Let y(z) be the first derivative of 3*z**2 - 34*z + 7. What is the remainder when y(12) is divided by 10?
8
Suppose m + 8 = 4. Let q = 31 - m. What is the remainder when q is divided by (18 - 0)*2/4?
8
Suppose 5*j - 834 - 356 = 0. Suppose -j = -7*o + 336. What is the remainder when o is divided by 14?
12
Let x = 239 - 226. Calculate the remainder when 37 is divided by x.
11
Suppose -d + 5 = v, -v - 2 = -5*d - 1. Suppose 0 = 2*g + v*k - 26, k - 4*k + 9 = -2*g. What is the remainder when 10/4*(3 + -1) is divided by g?
2
Let r = -10 - -93. What is the remainder when r is divided by 51?
32
Let y = -46 + 73. Calculate the remainder when y is divided by 27.
0
Let n = 100 - 262. Let o = -111 - n. What is the remainder when 100 is divided by o?
49
Let m(t) = 5*t**2 - 4*t + 3. Suppose 2*u = 5*d - 49, u + 2*d + 3 = -8. Let s = u - -34. What is the remainder when m(4) is divided by s?
16
Let t be 1 + 3 + -4 + -23. Let p = t - -31. What is the remainder when 20 is divided by p?
4
Suppose -2*m - 5*l = 24, 8*m - 11*m = 2*l + 47. Let v be -2 + (3 - 1) - -12. Let u = v - m. What is the remainder when u is divided by 16?
13
Suppose 90 = 2*b + 4*s, 0*s = -4*b + 2*s + 130. Suppose -3*k - 4 + 79 = 5*n, 0 = 3*n - 3*k - 21. Calculate the remainder when b is divided by n.
11
Suppose -m + 6*m = 155. Suppose -4*o - 5*y - 49 = 0, 2*o = 7*o + 3*y + 45. What is the remainder when m is divided by 6/(1/((-8)/o))?
7
Suppose -q = g + 2*q - 8, 4*g - 74 = 2*q. What is the remainder when (-3)/6*10 + 36 is divided by g?
14
Let g(i) = 3*i**2 + 2*i - 1. Suppose 4*b + 794 = 5*n, -62*b = n - 66*b - 178. What is the remainder when n is divided by g(-4)?
37
Let r(y) = -y**3 + 2*y**2 - 3*y - 6. Calculate the remainder when 157 is divided by r(-2).
13
Suppose -2*g - 12 = -4*g. Suppose -g*y - 38 = -8*y. What is the remainder when 54 is divided by y?
16
Let o = -23 - -25. Suppose -25 = 5*t, t + 14 + 11 = o*j. Calculate the remainder when 34 is divided by j.
4
Let d(v) = 4*v**3 + 4*v**2 - 3. What is the remainder when d(3) is divided by ((-56)/(-12))/(10/75) - -1?
33
Let h = -3 - -6. Suppose -4*t + a + 11 = 0, 2 + 1 = h*a. Let o = -161 + 164. Calculate the remainder when o is divided by t.
0
Suppose -57 = -z + 4*u, 2*z - 26 = u + 74. Suppose g + 10 = -g. Let n = 8 - g. Calculate the remainder when z is divided by n.
10
Suppose -b - c = -2*c + 7, 4*c - 4 = 0. Let g(m) = 4*m**2 - 3*m. Calculate the remainder when g(-3) is divided by (-68)/b - 14/(-21).
9
Let n = 328 - 305. What is the remainder when 549 is divided by n?
20
Let f = 91 + -93. What is the remainder when (-252)/14*(9/f)/3 is divided by 14?
13
Suppose 0 = -4*n - 3*a + 267, 4*n - 99 = 3*a + 162. Calculate the remainder when 196 is divided by n.
64
Let v(l) = 16*l + 97. What is the remainder when v(3) is divided by 23?
7
Let j(m) = m**3 - 13*m**2 + 13*m + 1. Let x be ((-24)/(-2))/((-1)/1). Let z(a) = -a. Let h be z(x). What is the remainder when 51 is divided by j(h