1
Let y(x) = x**3 + 17*x**2 - 15*x. Let t(z) = z**3 - 15*z**2 - 37*z + 37. Let m be t(17). What is the remainder when y(m) is divided by 17?
16
Calculate the remainder when 430 is divided by ((-17)/((-595)/(-30)))/((-1)/56).
46
Suppose -m - 2*i + i + 85 = 0, -5*i + 164 = 2*m. Suppose -18*k - 177 = 8337. Let v = -455 - k. Calculate the remainder when m is divided by v.
15
Let n(m) = -m**3 - 5*m**2 - 7*m + 2. What is the remainder when (0 + 1 + -4)/((-930)/12710) is divided by n(-4)?
13
Let l be ((-10)/5)/((-4)/10). Suppose z + l = 0, 5*z - z = -c - 13. Let x(o) = -o**2 - 8*o + 3. What is the remainder when x(-7) is divided by c?
3
Suppose 3348*w - 3318*w - 3352 - 4658 = 0. What is the remainder when 10677 is divided by w?
264
Calculate the remainder when (-4)/(-24) - (-3 - 4965/18) is divided by 1.
0
Let f(a) = 377*a - 27059. Let x(p) = p + 8. Calculate the remainder when f(73) is divided by x(7).
12
Let z(r) = 2*r + 20. Let g be z(-10). Let d(s) = -s**3 - 2*s**2 - 2*s + 17. Calculate the remainder when 43 is divided by d(g).
9
Let p = 5396 + -5145. What is the remainder when p is divided by 240?
11
Let d(g) = -g**2 + 24*g - 18. Let a be d(15). Let w = -81 + a. Suppose x + 0 + 2 = 2*u, -4*u + 16 = x. What is the remainder when w is divided by u?
0
Suppose -14*g + 773 = -809. Suppose -2*m + 153 = -g. Let v = -89 + m. Calculate the remainder when 85 is divided by v.
41
Let n(k) = k**2 + 2*k + 20. What is the remainder when (6/(-27) - 84/(-135)) + 26768/280 is divided by n(0)?
16
Let q = -176 + 404. Let x = q + -152. Let s = 2755 - 2739. Calculate the remainder when x is divided by s.
12
Suppose 18*r - 5*r = 182. What is the remainder when 21 is divided by (-1 - 34/r)/((-210)/735)?
9
Suppose o + 245 = -4*j, -4*j - 123 - 118 = -3*o. Suppose 9*x = -1186 + 367. Let n = j - x. What is the remainder when n is divided by 8?
6
Let s(u) = -2*u**3 - 10*u**2 - 7*u - 1. Let d = 80 - -31. Calculate the remainder when d is divided by s(-5).
9
Let s(q) = -638*q - 1653. Calculate the remainder when s(-7) is divided by 44.
41
Let h(l) = 0*l**2 - 39 + 6*l - 34 - l**2 + 3*l**2. Calculate the remainder when h(-11) is divided by 16.
7
Suppose z - 4 = -2*o + 9, 5*o - 2*z = 28. What is the remainder when 194/3*(-6)/(-4) is divided by (80/o)/((-4)/(-6))?
17
Let g = 337 + -310. Suppose -g*v + 24*v + 48 = 0. Calculate the remainder when 90 is divided by v.
10
Let d be 21765/75 - 2/(10*1). What is the remainder when -2 + (-19)/(-10) - (-18589)/d is divided by 34?
30
Let h(v) = v**2 + 109*v + 158. What is the remainder when 1181 is divided by h(-108)?
31
Suppose -10*g - 168240 = -70*g. What is the remainder when g is divided by 36?
32
Let d(h) = 15*h + 300. Let v be d(-20). Suppose -5*b + 8*c = 5*c - 19, 4*b + 5*c - 30 = v. Calculate the remainder when 24 is divided by b.
4
Suppose -42*y + 40*y + 3*p = -2077, 2*p + 2 = 0. Calculate the remainder when y is divided by 1033.
4
Let s = 15351 + -14969. What is the remainder when s is divided by 62?
10
Let l(y) = -2*y + 30. Let z be l(8). Let j(f) = -6*f**2 + 83*f + 23. Calculate the remainder when 53 is divided by j(z).
8
Let w = -39 - -43. Suppose -22 = -w*g + 3*b + 5, -3*b = g + 12. Suppose 3*i = g*a + 54, 3*a + 25 = -2*a. What is the remainder when 23 is divided by i?
10
Let b = -82 + 156. Calculate the remainder when b is divided by (19/((-741)/(-169)))/(-9*9/(-486)).
22
Suppose 6*c - c = -3*q + 75, -35 = -5*c + 5*q. Calculate the remainder when 40 is divided by (9/c)/(21/616).
18
Suppose 0 = 22*g - 37*g + 33*g - 864. Suppose 0 = -0*b - 2*b + 72. Calculate the remainder when g is divided by b.
12
Suppose 270 = 16*t - 1090. What is the remainder when 253 is divided by t?
83
What is the remainder when 111*8/(-42)*(-1344)/24 is divided by 128?
32
Let s(d) be the second derivative of d**4/12 - 3*d**3 - 37*d**2 + 12*d + 2. What is the remainder when s(28) is divided by 54?
44
Let a(o) = o**3 + 39*o**2 + 173*o + 119. Let m = 29 - -56. What is the remainder when m is divided by a(-34)?
0
Let u be -1 - 0 - (106 + 18). Let c = 174 + u. What is the remainder when c is divided by 10?
9
Let x = -72 + 102. Suppose 4*d = -a + 5*a - 16, -5*a - 5*d = -x. Let i = a + -4. Calculate the remainder when 4 is divided by i.
0
Suppose -11*h = 3672 - 9469. Calculate the remainder when h is divided by 175.
2
Suppose 0 = -474*a + 1011*a - 482*a - 990. Let x = 1 + 0. Calculate the remainder when a is divided by x.
0
Let m = 470 - 750. Let y = m + 560. Calculate the remainder when y is divided by 48.
40
Suppose -31*a + 195 = -36*a. Let j = 65 - a. What is the remainder when j is divided by 35?
34
Suppose -4*b + 0*b = 2*d - 378, 0 = -d - 3*b + 194. Calculate the remainder when d is divided by (208/(-24))/(3/(-9)).
23
Calculate the remainder when (48 - 3)*1599/130*2 is divided by 364.
15
Calculate the remainder when ((198 - 6)/(-16))/(6/(-10064)) is divided by 41.
38
Let n(u) = u**3 - u**2 - u + 1. Let l be n(-2). Let w be (-160)/6 + (-3)/l*-1. Let f = w + 59. Calculate the remainder when f is divided by 12.
8
Let v(p) = -p**2 - 24*p - 62. Suppose -58 = 5*y + 12. Calculate the remainder when v(y) is divided by 21.
15
Let p = -103 - -58. Let a = p + 50. Suppose 5*y - 3*m - 272 = 0, a*y - 248 = -0*y - 3*m. Calculate the remainder when y is divided by 14.
10
Let p(t) = 11*t - 546. Calculate the remainder when 11220 is divided by p(58).
88
Suppose 0 = i - 1, k + 2*i - 7 = -3*i. Let p(j) = -29*j**2 + 3*j - 2*j + 30*j**k - 17. Calculate the remainder when p(6) is divided by 15.
10
Suppose 0 = 3*o - 9, -4*n - 4*o + 15 = -93. Suppose -3*a + 2*a = -2*x + 6, a + 6 = 5*x. What is the remainder when n is divided by 63/a*(-6)/9?
3
Let h = 23 - 13. Suppose -166*d - 172*d + 676 = 0. Calculate the remainder when h is divided by d.
0
Suppose -80 = -5*t + 3*g, -5*g + 31 = 2*t + 30. Suppose -5*x = -3*b + 13, 4*x = -2*b + 5 + 11. Calculate the remainder when t is divided by b.
1
Suppose -35*l = 4*y - 36*l - 18877, 0 = -9*y - 2*l + 42503. Calculate the remainder when y is divided by 27.
23
Suppose u + 2*z - 4*z - 3 = 0, -3*z - 64 = -5*u. What is the remainder when 3891 is divided by u?
15
Let j(c) = c**3 - 3*c**2 - 12*c - 11. Let q be j(6). Suppose -2*d - q = -3*o, -5*d + 10 = o - 6*d. Calculate the remainder when 12 is divided by o.
2
Let q(f) = -f**3 + f**2 + 2*f - 18. Let v be q(5). Let j = v + 133. Calculate the remainder when 48 is divided by j.
23
Suppose 174 = 2*w - 42. Suppose w - 8 = 25*g. Let l(x) = -x**2 + 8*x - 2. What is the remainder when l(6) is divided by g?
2
Let x = 17425 - 13998. What is the remainder when x is divided by 7?
4
What is the remainder when ((-1096368)/504)/(6/(-9)) is divided by 8?
7
Suppose 0 = -3*w + f + 502, 4*w - 344 = 2*w + 3*f. Calculate the remainder when 3318 is divided by w.
164
Let w(o) = 8*o**2 + 12*o + 76. Let h be w(9). Let c = -780 + h. Calculate the remainder when 110 is divided by c.
6
Let q = 17193 - 17079. What is the remainder when 2848 is divided by q?
112
Suppose 169*u - 1235 = -78*u. Calculate the remainder when 1144 is divided by u.
4
Suppose -2*z - 2*g - 5 = g, -3*z = -3*g - 15. Let r be (-109)/z + 2 - (-6)/(-12). What is the remainder when 2/((-3)/(r - 1)) is divided by 8?
4
Suppose 105*n - 114*n = -927. What is the remainder when 524 is divided by n?
9
Let k(x) = 159*x**2 - 52*x + 96. Calculate the remainder when k(2) is divided by 6.
4
Let f = 512 + -386. Suppose -211*j + 217*j - f = 0. Calculate the remainder when j is divided by 12.
9
Let y = -51 + 87. Suppose -5*k + 3*q = -54, -3*q - y = -3*k - 0*k. Suppose k*f - 164 = 5*f. What is the remainder when f is divided by 11?
8
Suppose -m + 87 = -1712 - 197. Calculate the remainder when m is divided by 200.
196
Suppose 3*d + 5*f = -861, -d + f + 96 = 391. Let u = d + 315. Calculate the remainder when 197 is divided by u.
13
Let z(b) = -b**3 + 2*b**2 - 1. Let y be z(2). Let i(j) = -5*j**2 - 122*j - 45. Let d be i(-24). Calculate the remainder when 7 is divided by (-6 + 4 - y) + d.
1
What is the remainder when -6 + (-3)/(-15) + (-40225)/(-125) is divided by 42?
22
Let h be 7/(1*(5/15)/(-1)). Let p = h - -38. Calculate the remainder when 66 is divided by p.
15
Suppose -3*i + 5*i = 6*i. Suppose i = -4*u - r + 148 + 5, u - 33 = -2*r. What is the remainder when u is divi