ate the remainder when y is divided by 9.
8
Let x(g) = -g**3 - 9*g**2 + 11*g + 8. Let r be x(-13). Let u = 761 - r. Calculate the remainder when u is divided by 16.
12
Suppose g = -5*i + 10*i + 543, 2*g = 2*i + 1070. Let w = g - 336. What is the remainder when w is divided by 40?
37
What is the remainder when 1026 is divided by 3*412/3*(-116)/(-232)?
202
Let z(c) = c**2 + 9*c. Let y be z(-9). Let h be (y/(-9))/((1 + 0)/1). Suppose h = -5*x + 59 + 101. Calculate the remainder when 122 is divided by x.
26
Suppose 7*j - 625 = -18*j. What is the remainder when 57 is divided by j?
7
Calculate the remainder when (-1)/(-2) - (-59953)/334 is divided by 55.
15
Let d(a) = -a**2 - 7*a + 9. Let i(n) = -n + 15. Let b be i(-5). Suppose 28*t = 33*t + b. What is the remainder when 41 is divided by d(t)?
20
Let u(q) = -q. Suppose 20*z = 22*z - 264. Suppose 0 = -19*b + 913 + z. What is the remainder when b is divided by u(-7)?
6
Suppose -2*n = k + 2*k - 99, 4*k + 2*n = 130. Let w be 5/(-10) + (-44)/8. Let a(h) = -15*h - 32. Calculate the remainder when a(w) is divided by k.
27
Suppose -u = -5*b - 239, 20 = -7*b + 3*b. Let c(w) = -3*w**2 + 3*w + 240. Calculate the remainder when u is divided by c(-8).
22
Suppose -5*r + 480 = 3*l, r - 544 - 234 = -5*l. What is the remainder when l is divided by 50?
5
Suppose 3*s = -2*s + 100. Calculate the remainder when s is divided by -1*1 + (-1932)/(-322).
0
Suppose -5*a = 4*p - 6*p - 121, -71 = -3*a + 2*p. Suppose a*f + 1716 = 36*f. Calculate the remainder when f is divided by 23.
18
Let i(z) = 12*z**2 - 51*z + 7. Let y(h) = 2*h**2 - h + 2. Let x(o) = -i(o) + 4*y(o). What is the remainder when 75 is divided by x(11)?
7
Suppose 4 - 193 = -43*a + 155. Calculate the remainder when 15 is divided by a.
7
Suppose 6*w = -18481 + 77605. Suppose 2*q + 24*q = w. Calculate the remainder when q is divided by 125.
4
Suppose -3*x + 3*l + 906 = 0, 2*x - 217 - 397 = -3*l. Calculate the remainder when x is divided by 86.
46
Suppose 3*f - 16 = 4*y, -2*y - 4 = 5*f - y. Suppose 4*n + 0*n + 117 = 5*k, f = 4*k - 2*n - 90. Calculate the remainder when 65 is divided by k.
2
Suppose -q = -2*m + 41, 21*m - 17*m = -q + 91. What is the remainder when 244 is divided by m?
2
Suppose 5080*u = 5092*u - 9624. Calculate the remainder when u is divided by 135.
127
Let q(o) = 75*o - 58*o - 61*o - 213 + 0*o**2 - o**2. Calculate the remainder when 71 is divided by q(-6).
11
Let o be -2 + -327 + -3 + (-55)/(-11). Let t = o - -379. What is the remainder when t is divided by 6?
4
Suppose -4*z - 3*x = -877, 5*z - x - 1098 = -3*x. Suppose v - 43 = -4*d, -3*v + 7*v = -4*d + z. What is the remainder when v is divided by (-8)/(0 - 2/5)?
19
Let a = -10778 - -10918. What is the remainder when 1264 is divided by a?
4
Let z(p) = 19*p + 6. Let i(c) = -265*c - 85. Let n(o) = 6*i(o) + 85*z(o). Let y be n(4). Let f = y + -68. Calculate the remainder when 95 is divided by f.
31
Let f = -711 + 886. Calculate the remainder when f is divided by 97.
78
Let a(d) be the third derivative of d**6/120 - 2*d**5/15 + 2*d**4/3 - 19*d**3/6 - 24*d**2. Calculate the remainder when a(9) is divided by 30.
26
Let f(s) = 2*s**2 + 7*s - 53. Let k(a) = a**3 - 5*a**2 + 10*a - 33. Let j be k(4). What is the remainder when 71 is divided by f(j)?
25
Suppose -2*y = -3*y + 2. Suppose y*n = -4*k + 71 + 19, 3*n + 107 = 5*k. Suppose -k*j = -24*j + 14. What is the remainder when j is divided by 6?
1
Let c = 18 + -5. Suppose 0 = 2*s - 6*s, 0 = -2*w - 5*s. Suppose w = -p + 22 + 65. Calculate the remainder when p is divided by c.
9
Suppose 6 = -151*k + 153*k. Suppose -k*q - 297 = -14*q. Calculate the remainder when 106 is divided by q.
25
Let v = -455 + 502. Calculate the remainder when 153 is divided by v.
12
Suppose 0 = 52*r - 6363 - 2945. Calculate the remainder when r is divided by 32.
19
Let s be (6 - 10) + 7 + 148. Let z = s + -78. Calculate the remainder when z is divided by 20.
13
Let z be -2*(1 - (-131)/(-2)). Calculate the remainder when z - -1*(-12 + 5) is divided by 41.
40
Suppose -4901 - 2794 = -3*p. Calculate the remainder when 10/(-35) - p/(-35) is divided by 11.
7
Let t = -4434 + 4533. What is the remainder when t is divided by 8?
3
Let y(s) = 1298*s - 4264. What is the remainder when y(10) is divided by 19?
14
Suppose -1083 = 71*f - 128*f. Calculate the remainder when 625 is divided by f.
17
Let j = 42 - 250. What is the remainder when 53 is divided by (-245)/(-13) - 32/j?
15
Suppose 0 = -5*u - 4*r + 30 - 77, 2*r - 15 = 3*u. Let z(p) be the first derivative of -7*p**2/2 - 13*p + 32. What is the remainder when z(u) is divided by 13?
10
Let d(x) = x**3 - 12*x**2 + 14*x + 16. Let a be d(11). What is the remainder when 220 is divided by 51*(-2 - a/(-21))?
16
Let a(r) = r**3 - 164*r**2 + 10*r - 1629. Let c(b) = -13*b - 5. Calculate the remainder when c(-6) is divided by a(164).
7
Let a = 11849 - 11768. Calculate the remainder when 258 is divided by a.
15
Let x = 15 - -97. Suppose 442*b - 864*b - 406 = -436*b. What is the remainder when x is divided by b?
25
Let x(y) = -y**3 + 55*y**2 + 5. Let j be x(55). Suppose -3*d + j*d + b = 1, -5*d = 3*b. Calculate the remainder when 38 is divided by d.
2
Calculate the remainder when ((-24700)/(-78))/(-10)*(-24)/2 is divided by 128.
124
Suppose 19*m - 13*m + 37*m - 903 = 0. Calculate the remainder when 5774 is divided by m.
20
Calculate the remainder when 2/(-8 + (-3450)/(-430)) is divided by 32.
22
Suppose -157*v + 74530 + 61275 = 0. Calculate the remainder when v is divided by 51.
49
Let b(n) = 7*n**2 + 42*n + 166. What is the remainder when b(-8) is divided by 219?
59
Let w be -24 + (18/2)/3. Let c(q) = -q - 8. Calculate the remainder when 27 is divided by c(w).
1
Let z(l) = -29*l + 241. What is the remainder when 329 is divided by z(6)?
61
Let x be 12/(-10)*((-4480)/24)/7. Let b be (-9 - 2)/(1/(-5)). Suppose -6*n + b = 5*s - n, -2*n + x = 3*s. What is the remainder when 58 is divided by s?
8
Let j = 10751 - 6374. What is the remainder when j is divided by 219?
216
Let c(i) = -1578*i - 2807. What is the remainder when 1405 is divided by c(-2)?
9
Let y(s) = -39*s**3 + 7*s**2 - 11*s - 3. What is the remainder when y(-7) is divided by 21?
18
Suppose -1613 = -10*a + 1765 + 16992. Calculate the remainder when a is divided by 57.
42
Let f = -161 + 170. Calculate the remainder when 38 is divided by 6/f*(12 - 0).
6
Suppose 13*c + 4*o = 16*c - 199, c + 5*o = 60. Suppose -4*r = -3*y + 70, 0 = -3*y - 3*r + 2*r + c. What is the remainder when 85 is divided by y?
19
Suppose -208*p = -819 - 1677. What is the remainder when 5002 is divided by p?
10
Suppose 4*j - 26 = a, a + 4*j - 3 = 11. Let r be a/14 + (-590)/(-70). Suppose r*g - 21 = 7*g. Calculate the remainder when g is divided by 8.
5
Calculate the remainder when 728 is divided by (55/(-1))/(-1) + (-30)/(-5)*1.
57
Suppose -41*h = -45*h + 8. Suppose -2*k + 5*v - 67 = 0, 10 = -h*v + 4*v. Let y = k - -23. Calculate the remainder when 5 is divided by y.
1
Let c(s) = s**3 + 17*s**2 - 22*s + 68. What is the remainder when c(10) is divided by 21?
7
Suppose 0 = h + 4*c, 0 = -2*h + c + 4*c + 26. Suppose -3*s = x - 145, -2*x - 490 = -5*x + 2*s. Let u = 162 - x. What is the remainder when h is divided by u?
0
Suppose 12*f = 3*f + 9648. Suppose 0 = 4*o - 2*v - 1128 + 56, -4*o = 2*v - f. Suppose o = 11*u + 59. Calculate the remainder when u is divided by 5.
4
Suppose -10*s = -155 - 35. Let k = s + 18. What is the remainder when 182 is divided by k?
34
Let w(y) = -5*y - 6. Suppose 4*p = -4*x + 56, 5*p - 2*x + 252 - 266 = 0. Calculate the remainder when w(-5) is divided by p.
1
Let q(w) = -w**2 - 11. Let f be q(0). Suppose 5*d - 6 = 9, 69 = -3*x - 4*d. Let p = f - x. What is the remainder when 79 is divided by p?
15
Let v(p) = -319*p + 9694. Calculate the remainder when v(19) is divided by 104.
97
Let g(k) = 12*k**2 - 4*k + 2. Let p be g(1). Suppose p*y = 85 + 145. What is the remainder when 136 is divided by y?
21
Let s = 713 - 675. Calculate the remainder when s is divided by 22.
16
Suppose -w = 2*z - 65, -2*w = 3*z - 87 - 8. Let m = 65792 + -65653. Calculate the remainder when m is divided by z.
34
Let b(q) = q. Let t(x) = 7*x + 34. Let j(n) = -4*b(n) + t(n). Let m be j(10). Calculate the remainder when (75/4 + 1)*m/16 is divi