 -3*t, 0 = -3*h - x*t + 9*t + 170. Calculate the remainder when h is divided by y.
12
Let h = -49 + 45. Let s(q) = -q**3 - 4*q**2 - q - 4. Let r be s(h). Suppose -i - 4*a = -52, r*i = -i - 3*a + 54. What is the remainder when i is divided by 32?
28
Let s = -31 - -34. Let c be ((1*9)/(-1))/(8 - 9). Suppose 9*q - 9 = c. Calculate the remainder when s is divided by q.
1
Let v = -80 - -137. Let d = -13 - -25. Suppose d = -6*o + 7*o. Calculate the remainder when v is divided by o.
9
Let f = -455 - -516. Let l = 87 + -39. Suppose -2*i + 4*u + l = 0, i - 3*u + 19 = 2*i. What is the remainder when f is divided by i?
17
Suppose 0 = -2*p - 0*p + 386. Suppose 834 = -47*f + 2667. Calculate the remainder when p is divided by f.
37
Let s(m) = -m**3 + 11*m**2 + 15*m - 26. Let a be s(12). Calculate the remainder when 127 is divided by 1*166/a + 128/320.
8
Let k be 12/(-4) + 129 - 1. Let r = k - 49. Suppose 56*c - 60*c = -104. Calculate the remainder when r is divided by c.
24
Let a(g) = -g**2 + 3*g + 4. Let j be a(3). Suppose -3*b = -7*b - 4*p + 52, j*b = p + 32. What is the remainder when (8 - 14)*2*34/(-12) is divided by b?
7
Let d be (-2)/5*(-70)/2. Let a be 2/(-7) - (-1264)/d. Let p = a - 77. Calculate the remainder when p is divided by 4.
1
Let x(g) = -2*g + 30. Suppose -30 = -v - 2*v. Let w be x(v). What is the remainder when ((-216)/(-30))/(3/w) is divided by 9?
6
What is the remainder when 129 is divided by ((-30)/(-21))/10 - (-975)/35?
17
Suppose 8*o - 48 = j + 112, -j = 4*o - 80. Calculate the remainder when 63 is divided by o.
3
Let t(x) = 3*x**2 + x - 1. Let y be t(-2). Let q(v) = v**2 - 11*v + 12. Let w be q(y). Calculate the remainder when (14/w - 2)/((-3)/27) is divided by 21.
18
Let d(n) = -21*n + 185. What is the remainder when 222 is divided by d(7)?
32
Let s be -25*1*(-3 + (7 - 5)). What is the remainder when 80 is divided by 4/((-20)/s) - -7?
0
Suppose -10*c = -15*c + 25, f - 27 = -c. Suppose 19*r = f*r - 501. Calculate the remainder when r is divided by 44.
35
Suppose 7*y - x + 6 = 6*y, -5*x + 24 = -2*y. Calculate the remainder when 98 is divided by 185/(-37) - 60/y.
23
Let h be (25/(-2))/(11/(7 - 73)). Calculate the remainder when -12*(-1)/1 + 1 is divided by (-2)/5 - h/125 - -6.
3
Suppose 8*m = 262 - 54. Suppose -6*a - m + 176 = 0. Calculate the remainder when a is divided by 10.
5
Let z = 78 - 43. Let a(x) be the second derivative of -7*x**3/6 + 61*x**2/2 + 9*x - 4. Calculate the remainder when z is divided by a(7).
11
Let k(d) = 39*d + 93. Calculate the remainder when 1030 is divided by k(-2).
10
Let d(s) = 4*s + 2. What is the remainder when 425 is divided by d(4)?
11
Let d = 13 + -19. Let q = d - -13. Let a = 310 - 298. What is the remainder when a is divided by q?
5
Let k(v) = v**2 - 139*v + 2070. What is the remainder when k(15) is divided by 51?
6
Suppose 3*f - 56 = -5*g + 23, 5*f - 85 = -5*g. Calculate the remainder when 614 is divided by g.
12
Suppose -275 = -3*d + 673. Let q = 323 - d. Calculate the remainder when q is divided by 2.
1
Suppose -u - 2*a + 46 = 0, 5*a + 15 = 2*a. Calculate the remainder when 105 is divided by u.
49
Let m(a) = 40*a**2 - 45*a + 2. Calculate the remainder when m(-8) is divided by 43.
41
Let l(c) = 34 - 3*c - 8*c + 399*c**2 + c - 401*c**2. What is the remainder when 35 is divided by l(-7)?
5
Let f(o) = 52*o - 211. Let h be f(14). Let b = h - 503. What is the remainder when 111 is divided by b?
13
Let r be (-4 + -12)/8 + -4. Let l(w) = w**3 + 5*w**2 + 7*w + 89. Calculate the remainder when 49 is divided by l(r).
5
Let a(b) = 2*b**2 + 157*b + 153. What is the remainder when 299 is divided by a(-78)?
74
Let a be ((-8)/6)/(40/(-420)). Suppose -4*s + 15 = 4*p + s, 0 = 3*p + s - a. Calculate the remainder when 28 is divided by p.
3
Suppose 3*t - 789 = -3*k, 3*k - 3*t = -2*t + 777. Calculate the remainder when 786 is divided by k.
6
Calculate the remainder when (8/14)/((-26)/(-2093)) is divided by 14.
4
Suppose 3 = -3*m + 9. Let z(g) = -11*g + 6*g - m + 9*g. What is the remainder when 19 is divided by z(3)?
9
Let o(z) = z**3 + 7*z**2 + 6*z + 8. Let t(v) = 8*v**2 + 30*v - 187. Calculate the remainder when t(4) is divided by o(-6).
5
Let i(z) = z**3 - 17*z**2 + 2*z - 16. Suppose 2*p = 6, -2*u + 46*p + 112 = 42*p. Calculate the remainder when u is divided by i(17).
8
Let r be (-5)/(39/21 + -2). Let y be 10/r - (-348)/7. Calculate the remainder when (-156)/(-10) - (-20)/y is divided by 10.
6
Let q(g) = g**3 - 77*g - 3. Let m be 3/(-2)*(-91 + 85). What is the remainder when 55 is divided by q(m)?
22
Let y = 1616 - 1147. What is the remainder when y is divided by 123?
100
Suppose -58*d = 59*d - 122*d + 565. Calculate the remainder when 449 is divided by d.
110
Let z = -3585 - -3721. What is the remainder when z is divided by 101?
35
Suppose -14*s + 420 = -10*s. Suppose -6*r - 9*r + s = 0. Calculate the remainder when 69 is divided by r.
6
Suppose 144 = 4*q - 2*g, -3*g - 180 - 2 = -5*q. Let z(b) = -b**2 - 8*b. Let t be z(-5). Calculate the remainder when q is divided by (-14 + t + 1*-2)*-9.
7
Suppose 0 = -5*x + 4*j - 73, -25 = 2*x + 5*j - 9. Let v(q) = -10 + 22 - q - 5 + 4. Calculate the remainder when v(x) is divided by 10.
4
Let w be 1130/14 + 2/7. Let j be 71 - 9 - (3 - (9 + 1)). Let k = j + w. What is the remainder when k is divided by 38?
36
Suppose 238 + 137 = 5*l. Let u = 88 - l. Calculate the remainder when 50 is divided by u.
11
Let d(o) = -11*o - 46 + 9 + 19*o - 31 - 7. What is the remainder when 38 is divided by d(11)?
12
Let f = -8 + 15. Suppose 13*p - f*p = 24. Suppose d = -p + 46. What is the remainder when d is divided by 11?
9
Let y(u) = -7*u**2 + 36*u + 50. Let p(o) = -10*o**2 + 53*o + 75. Let a(k) = -5*p(k) + 7*y(k). Calculate the remainder when 114 is divided by a(16).
22
Suppose -w - 4*a = -5 - 59, -4*w + 206 = 6*a. Suppose 0 = -4*o + 11 + 53. What is the remainder when w is divided by o?
12
Suppose 9*p = 49*p - 3520. Let a = 311 - p. Calculate the remainder when a is divided by 16.
15
Suppose 4*s + 3*m = 94, s = -3*s - m + 98. Calculate the remainder when (63 - (21 + (-54)/9)) + -19 is divided by s.
4
Let c = -160 - -116. What is the remainder when 25 is divided by c/(-3) + -1 + 2/6?
11
Let w be 3/(-1) + 4 - (-3 - -2). Suppose 150 = 7*b - 3*b + w*l, 3*l - 108 = -3*b. Calculate the remainder when 132 is divided by b.
15
Suppose 0 = 2*o + h - 166, -15*h = o - 14*h - 86. Calculate the remainder when o is divided by 27.
26
Suppose 0*t - t = j + 2, 4 = -3*j - 2*t. Suppose 27*u - 32*u - 315 = j. Let r = 64 + u. Calculate the remainder when r is divided by 1.
0
Let o = 3533 + -1810. Calculate the remainder when o is divided by 32.
27
Suppose b - 2*z = 14, -5 = 3*b + 4*z + 3. Suppose 20 + b = -8*c. Let f(o) = 8*o**2 - 5*o - 5. What is the remainder when f(c) is divided by 21?
19
Suppose 25 - 6 = n. Suppose -5*s + 8*s - 18954 = -24*s. What is the remainder when s is divided by n?
18
Suppose -5*k = 2*q + 1689, -5*q - 1867 - 2333 = 5*k. Let z = q + 1050. What is the remainder when z is divided by 75?
63
Suppose -2*k - k + 3*v + 330 = 0, -k = 2*v - 110. Let d = 177 - k. What is the remainder when d is divided by 18?
13
Let u = 2706 + -2684. Calculate the remainder when 40 is divided by u.
18
Let p(a) = -836*a - 11684. What is the remainder when p(-22) is divided by 192?
180
What is the remainder when 47 is divided by 1866/117 + (-62)/(-1209)?
15
Suppose 30*k - 128 = 2422. Calculate the remainder when 1953 is divided by k.
83
Let o(d) = -d + 9. Let r be o(7). Let m(v) = 1218*v - 25561. What is the remainder when ((-2)/(-6))/(r/498) is divided by m(21)?
15
Let z(u) = -u**3 - 13*u**2 - 3*u + 18. Let l be z(-10). What is the remainder when 52 is divided by (-6)/(-15) + l/(-45)?
4
Let y = -5 + 8. Let f(n) = 9*n**2 - 4*n. Suppose -47*s - 60*s - 171 + 2204 = 0. What is the remainder when f(y) is divided by s?
12
Let n = -10551 + 10617. What is the remainder when 597 is divided by n?
3
Calculate the remainder when (-1)/23 - (-556179)/897 is divided by 152.
12
Suppose -13*k - 21*k = -4*k - 1410. Suppose 8*a - 7*a - 92 = 0. Calculate the remainder when a is divided by k.
45
Let d(u) = 3*u**3 - u**2 + 11*u + 1. Let p(t) = -t**3 + t**2 - 2*t. Let a(q) = -d(q) - 2*p(q). Calculate the remainder when a(-2) is divid