 5*a**2 - a - 2. Let n be q(-1). Suppose 136 = n*u - t, -u - 5*t + 54 = -1. Suppose -3*r + 9*r = 108. Calculate the remainder when u is divided by r.
17
Let n = -40380 + 41121. What is the remainder when n is divided by 83?
77
Let v(s) = s**3 + 14*s**2 - 11*s + 11. Let l be v(-10). Let p = l - 296. Suppose 0 = 7*z - 16*z + p. Calculate the remainder when z is divided by 9.
7
Suppose -445 = -9*f - 1399. Let m = -83 - f. Calculate the remainder when 114 is divided by m.
22
Suppose -4*p - 4*i = -6244, -6*p = -4*p + 3*i - 3117. Calculate the remainder when p is divided by 22.
4
Suppose -5*u = -4*z - 314, -u = -2*u - 4*z + 82. Suppose u = -9*p + 11*p. Calculate the remainder when p is divided by 14.
5
Let t be (-108)/(-10 - -4)*-1. What is the remainder when 67 is divided by 172/6 - t/(-27)?
11
Let t(b) = -b**2 + 21*b + 183. Calculate the remainder when t(23) is divided by 2.
1
Suppose 0 = 7*d + 15 + 62. Let m(i) = -6*i - 58. What is the remainder when 45 is divided by m(d)?
5
Let r(g) = 987*g + 986*g - 1973*g + 3*g**2 + 80. Calculate the remainder when r(7) is divided by 58.
53
Suppose -50 = -4*z + c, -2*z + 18 + 10 = c. Suppose d = 4*o - d + 10, 2*o - 4*d + 8 = 0. What is the remainder when -2 - 0 - (-37 + o) is divided by z?
11
Let i = 3484 + -3086. What is the remainder when i is divided by 42?
20
Let i(j) = -6*j**2 + 105*j - 89. Calculate the remainder when i(13) is divided by 69.
55
Let v = -3 + 13. Let g = v + 3. Suppose h = 2*l + 14, 3*h - 5*l + l = 50. What is the remainder when h is divided by g?
9
Let p = 47626 - 47569. Calculate the remainder when 81 is divided by p.
24
Suppose -k + 5*a = -31, -7 = -2*k + a + 28. What is the remainder when ((-510)/(-4) - -1) + 8/k is divided by 7?
3
Let j be ((-16)/(-21) + (-42)/98)*27. What is the remainder when 20/30 + 246/j is divided by -5*4/6*-3?
8
Suppose 0 = 2*g + g - 24. Suppose g*s - 11*s + 9 = 0. Suppose 0*m = 3*m + 15, 5*h + s*m = 10. What is the remainder when h is divided by 3?
2
Let d = 9 - 6. Suppose -n - d = 2, m = -2*n + 61. Suppose 4*l - 5 = m. What is the remainder when l is divided by 12?
7
Suppose 2*f + 47 = -3*d, -f + 2*d - 14 = 27. Suppose -2*h + 2*l = 4*l - 134, -h + 4*l = -52. Let v = f + h. What is the remainder when 162 is divided by v?
30
Let m be 6*((-717)/(-9) - -6). Suppose 0 = 4*q + c - 827, 4*c + m + 338 = 4*q. What is the remainder when q is divided by 53?
49
Let v(k) = 4*k**3 + 61*k**2 + 17*k + 34. Let u be v(-15). Let d(t) = -5*t - 4. Calculate the remainder when d(-3) is divided by (-81)/54 + 34/u.
4
Let u(y) = 2*y**3 - 15*y**2 + 27*y + 6. Calculate the remainder when u(7) is divided by 21.
20
Suppose 4*j + 15*j = 7410. What is the remainder when j is divided by 13?
0
What is the remainder when 13704 is divided by -2 + 55/15*4 - (-32)/24?
12
Suppose 0 = -3*k - 9, 5*s - 4*k - 53 = 69. Suppose -s = 3*n - 157. What is the remainder when 174 is divided by n?
39
Let d = -11252 + 12359. What is the remainder when d is divided by 15?
12
Suppose 0 = 3*z + 4*y - 3, -3*y = -2*z + 19 - 0. Suppose -6*g + 65 = -z*g. Suppose g + 80 = 5*p. What is the remainder when 53 is divided by p?
24
Let s(y) = -y**2 + 31*y - 19. Let v = 126 - 96. Calculate the remainder when 106 is divided by s(v).
7
Let w(x) be the third derivative of 0*x + 17/6*x**3 + 5/12*x**4 + 0 + 3*x**2. Calculate the remainder when w(10) is divided by 30.
27
Let l = 16296 - 15956. Calculate the remainder when 2398 is divided by l.
18
Suppose -300 = -3*w - 171. Suppose -13*b + w = -100. What is the remainder when 40 is divided by b?
7
Suppose 4017 = 5*z + 3*t, 2*t = 40*z - 43*z + 2409. Calculate the remainder when z is divided by 8.
7
Suppose -11*l + 884 = 2*l. Suppose -244 = -2*j - 3*g, -5*j - 8*g = -4*g - 617. What is the remainder when j is divided by l?
57
Calculate the remainder when 175 is divided by (2614 - 2751)*(-3)/2*4/6.
38
Let c(x) = -x**3 + 98*x**2 + 868*x + 228. Calculate the remainder when c(106) is divided by 87.
86
Suppose 0 = 11*f - 37 - 7. Calculate the remainder when 126 - f*(-9)/(-12) is divided by 21.
18
Let m = -66 - -78. Let x(j) = j - 2. Let b be x(m). What is the remainder when 28 is divided by b/8*12/9*6?
8
Let b be (1/9*15)/(1/3). Suppose -b*t + 427 = -158. Suppose -5*a + t = -0*a - j, 0 = 4*j + 8. Calculate the remainder when a is divided by 13.
10
Let q be ((-7)/(-14))/(1/10). Suppose 5*x - q*u = 265, -30*x + 34*x - 203 = -5*u. Calculate the remainder when x is divided by 6.
4
Let l = -118 + 60. Let s = 153 + l. Calculate the remainder when s is divided by 27.
14
Suppose -3*g - 753 = 28*g - 25739. What is the remainder when g is divided by 30?
26
Suppose -1326*b + 445 = 5*w - 1331*b, 2*w - 5*b - 190 = 0. Calculate the remainder when w is divided by 18.
13
Let b(o) = 6*o**2 - 14*o + 25. Let h(z) = -7*z**2 + 13*z - 24. Let j(x) = -6*b(x) - 5*h(x). Calculate the remainder when 161 is divided by j(16).
17
Suppose 0 = 11*j - 6*j + 25, -3*j - 15 = -5*o. Suppose o = -19*r + 21*r - 704. Calculate the remainder when r is divided by 5.
2
Suppose z = -1, -5*o = -z + 7*z - 2099. Calculate the remainder when 844 is divided by o.
2
Let t(f) = 2*f + 59. Suppose 0 = -5*k + 6 + 9. What is the remainder when t(-7) is divided by k + (1*-18)/(-2)?
9
Let q(x) = -36*x + 3203. What is the remainder when (-3)/(-15) + (-599)/(-5) is divided by q(88)?
15
Suppose -6*c - 689 = -12*c - 47*c. Calculate the remainder when 15455 is divided by c.
11
Let l = -19 - -52. Let y(d) = -4377*d - 4369. What is the remainder when l is divided by y(-1)?
1
Let j = -28 - -39. Calculate the remainder when j is divided by (-11 + (-340)/(-30))*(-3 + 24).
4
Suppose -11*k = -7*k - 420. Let m = k - 91. Let y(n) = 6*n**2 + 6*n + 13. Calculate the remainder when y(-3) is divided by m.
7
Let p be 1074 + (4/(-6))/((-18)/(-54)). Let f = 1593 - p. Calculate the remainder when f is divided by 171.
8
Let r(b) = 50*b + 3437. What is the remainder when 4365 is divided by r(-68)?
36
Let m(n) = -n**3 - 4*n**2 - 2*n + 2. Suppose 5*k + 3 = 183. Suppose -4*v + 62 = -5*f, 4*v - 20 = 2*f + k. Calculate the remainder when m(-5) is divided by v.
11
Suppose -34*q = -10*q - 56448. Calculate the remainder when q is divided by 11.
9
Suppose w - 110 = 62. Suppose -86*s + 378 = -276*s + 2468. What is the remainder when w is divided by s?
7
Suppose -307*v + 302*v = -960. Suppose -31*b + v = -25*b. What is the remainder when 45 is divided by b?
13
Let j(v) = v**3 + 7*v**2 + 3*v + 7. Let b be j(-6). Suppose -5*a + b = -0*a. Let s = -500 - -507. Calculate the remainder when s is divided by a.
2
Suppose 946 = 22*z - 968. Let a = z - 69. What is the remainder when 88 is divided by a?
16
Let b(l) = -25*l - 278. Calculate the remainder when b(-20) is divided by 3.
0
Let c = -1938 - -2022. What is the remainder when 342 is divided by c?
6
Suppose -j + 4*j = 93. Let x = 545 + -224. Let q = x - 261. What is the remainder when q is divided by j?
29
Calculate the remainder when 4182 is divided by -32 + (-6 - -35) - 1/((-1)/96).
90
Suppose -6*x + 4*x = -5*h + 1049, 214 = h + x. What is the remainder when 643 is divided by h?
10
Let q(k) = 5*k**3 - 4*k**2 - 173*k + 680. What is the remainder when 4629 is divided by q(4)?
237
Let o = 2 - -17. Suppose 3*l + 5*q - 223 = -17, -4*l - 3*q = -282. What is the remainder when l is divided by (o/(-3))/(1/(-3))?
15
Let b = 4239 - 4227. What is the remainder when 107 is divided by b?
11
Suppose 5*g - 447 = -3*u - 12, -3*g - u = -257. What is the remainder when g is divided by 76?
8
Let z be ((-6)/(-5))/((-5)/450). Let v = z + 127. Let h(f) = f**3 + 11*f**2 + 20*f + 5. What is the remainder when h(-8) is divided by v?
18
Suppose 0 = -5*h + 2*u + 515, -3*h + 0*h + 4*u = -323. What is the remainder when 703 is divided by h?
97
Calculate the remainder when 1019 is divided by ((-264)/(-440))/((-3)/(-1030)).
195
Let v(o) = 63*o - 2. Let b be v(5). Suppose -3*i - 2*r + 307 = -3*r, -3*i = 2*r - b. Calculate the remainder when i is divided by 53.
50
Suppose -5*j - 3*l + 1 = -18, 8 = j + 2*l. Suppose s - 159 = -4*v - 49, j*v - 62 = -4*s. Calculate the remainder when 79 is divided by v.
25
Calculate the remainder when 504 is divided by (-120)/(-20) + (-4 - -7)/3.
0
Suppose 88*y + 68*y = 5928. Calculate the remainder when 10182 is divided by y.
36
