22*u - 54. What is the remainder when 710 is divided by p(-15)?
47
Let p(y) = 29*y + 880. Calculate the remainder when 2976 is divided by p(-21).
266
Let v = 13 + -10. Suppose -5*i + 3*c + c = -147, v*i - 78 = -c. What is the remainder when 65 is divided by i?
11
Let c(i) = -20*i - 109. Let f be c(-6). Calculate the remainder when f/2*(-2 + 4)*8 is divided by 22.
0
Let s(b) = -b - 18*b**2 - b**3 - 4*b**2 - 2*b**2 - 12. Let g(i) = i**3 - 8*i**2 + 74*i - 201. Let t be g(3). Calculate the remainder when 23 is divided by s(t).
11
Suppose -4 + 18 = 2*v - 2*c, 2*c = -8. Suppose 2*u = -3*n + 8, -v*u + n + 12 = -n. Calculate the remainder when 4 is divided by (8/(-3))/(6/(-36)*u).
0
Suppose 25*f + 428 = 29*f. Calculate the remainder when 531 is divided by f.
103
Let j(i) = i**3 - 6*i**2 - i - 25. Let h be j(6). Let l(c) = c**2 + 29*c - 9. What is the remainder when l(h) is divided by 29?
24
Let l(t) = -871*t - 5127. What is the remainder when l(-6) is divided by 10?
9
What is the remainder when 180 is divided by (21 - (-23 - -11)) + 3?
0
Let g(o) = -o**2 + 18*o - 8. Let u be (-2)/9 + 1560/216. Calculate the remainder when g(u) is divided by 18.
15
Let g(l) be the third derivative of 1/12*l**4 + 0 + 7*l**2 + 0*l + 1/12*l**5 - 1/6*l**3. Calculate the remainder when 43 is divided by g(-2).
13
Let d be (24/(-32))/(1/(-1060)) + -3. Suppose 3*c + 734 = 2*y, 2*c - 1024 = -5*y + d. What is the remainder when y is divided by 61?
59
Calculate the remainder when 2549 is divided by ((-768)/40 + -8)/(52/(-195)).
101
Let m = 8241 + -8214. Calculate the remainder when 28 is divided by m.
1
Suppose 191*z + 201*z = 398*z - 105714. Calculate the remainder when z is divided by 89.
86
Suppose -5*z - 255 - 891 = -2*h, 2*z + 3*h = -447. Let y = z - -308. Calculate the remainder when 227 is divided by y.
67
Let l(s) = 49*s**2 + 14*s + 15. What is the remainder when 15999 is divided by l(-1)?
49
Let s(j) = j**3 + 5*j**2 - 17*j - 3. Let z = -35 + 28. What is the remainder when 27 is divided by s(z)?
9
Let r(b) = -6*b. Let a be r(-1). Suppose -3*g - 76 = -3*w + 26, 3*w + 4*g = 130. What is the remainder when (-2 + 329)*2/a is divided by w?
33
Suppose 0 = 5*s - 12*s + 553. Suppose s = -2*j + 283. Suppose 53 = 2*o + w, -3*o = o - w - 103. Calculate the remainder when j is divided by o.
24
Suppose 763 + 1056 = 107*p. Calculate the remainder when 492 is divided by p.
16
Suppose 5*u - 9*u = 0. Suppose u = -5*w + 5*a + 115, -a + 11 = w - 6*a. Let g = 19 - -108. What is the remainder when g is divided by w?
23
Let m(w) = -2*w**3 + 11*w**2 + 23*w - 6. Calculate the remainder when m(-4) is divided by 70.
66
Suppose -x = 9*x - 270. Let y(u) = u**3 - 5*u + 2. Let h be y(2). Suppose 4*k + 42 - 66 = h. What is the remainder when x is divided by k?
3
Let y = -3 + 6. Let a(j) = 2*j**2 + 3*j. Let h = -5463 - -5471. What is the remainder when a(y) is divided by h?
3
Let a = 8201 - 7600. Calculate the remainder when a is divided by 28.
13
Suppose -2*k - 1382 = -4*j, 682 = -k + 25*j - 20*j. Let p(n) = n**3 + 6*n**2 - n + 8. Calculate the remainder when (k/51)/(1/(-6)) is divided by p(-6).
12
Let k be 4623/1005 - (2 + (-12)/5). Suppose 0*r - 4 = -4*r, 0 = -2*o - 3*r + 95. Suppose -k*i + o = -99. What is the remainder when 142 is divided by i?
26
Suppose 0*n + 2*n = 114. Suppose -5 = w - n. Let h = 676261 + -676252. What is the remainder when w is divided by h?
7
Let n(p) = -4*p + 140. Let s be n(32). Suppose 39 = d + s. What is the remainder when d is divided by 9?
0
Let v = -5 + 14. Let k(g) = 24*g - 59. Let u(i) = 13*i - 29. Let m(y) = -6*k(y) + 11*u(y). What is the remainder when m(v) is divided by 7?
5
Let g(a) = a**3 + 20*a**2 + 18*a + 24. Let v = 1 - 1. Let y(s) = 10*s + 168. What is the remainder when y(v) is divided by g(-19)?
39
What is the remainder when 648/14 - (-4)/(-14) is divided by (-6)/(-18 + 5400/306)?
12
Let c(u) = 76*u - 754. What is the remainder when 787 is divided by c(12)?
155
Let p(g) = 10*g + 289. Calculate the remainder when p(-3) is divided by 22.
17
Let n(u) = u**3 - 15*u**2 + 18*u - 17. Let k be n(14). Let g = k + -45. What is the remainder when 17 + 1 + g + 4 is divided by 6?
4
Calculate the remainder when (6408/28)/(297/1386) is divided by 332.
72
Let n = -3628 - -3709. What is the remainder when 3156 is divided by n?
78
Suppose 2793 = 3*p - 4*u, 0 = p - 695*u + 698*u - 944. What is the remainder when p is divided by 105?
95
Let u be (2/(-1))/((-2 - -2) + -2). What is the remainder when 165 is divided by (u/(35/(-120)))/(4/(-28))?
21
Calculate the remainder when 1232 is divided by -2*7/(133/(-5623)) + 2/19.
48
Let n(k) = -k**3 - 4*k**2 + 8*k - 5. Suppose -h + 304 = -0*h - x, -4*x = -h + 310. What is the remainder when h is divided by n(-6)?
17
Suppose -5*o + 34 - 104 = 0. Let w = o - -19. Suppose 0*y = -5*m + 2*y + 166, -4*m + w*y + 126 = 0. Calculate the remainder when m is divided by 18.
16
Suppose -p - 5*z + 48 = -7, -z - 101 = -3*p. Suppose 0 = -4*f + 4*q + 108, 3*f = 5*f - q - 47. What is the remainder when p is divided by f?
15
Let h be 1/2 + (-42)/12. What is the remainder when 8/480*-6 - 1002/(-20) is divided by h/6*-26*2?
24
Suppose 1183 = r + 3*n, 2*r = -2*n + 4*n + 2342. Suppose r*i = 1172*i + 12. What is the remainder when 63 is divided by i?
3
Let y = -59 + 89. Let q = y + -25. Suppose 0 = -q*h + 13*h - 128. Calculate the remainder when h is divided by 10.
6
Suppose 5*z = -g + 390, -39*g = -35*g + 2*z - 1506. Let h = g - 368. Calculate the remainder when 22 is divided by h.
1
Suppose 309*n + 689 = 322*n. What is the remainder when 96 is divided by n?
43
Let l be 1 - (-2)/2*134. Suppose -198*b - 15666 - 128 = -304*b. Let j = b - l. Calculate the remainder when 151 is divided by j.
11
Suppose 20*c - 1819 - 161 = 0. What is the remainder when c is divided by ((-6)/12)/((-2)/104)?
21
Let n = 1991 + -1366. What is the remainder when n is divided by 181?
82
Suppose -y - 65*a = -64*a - 45, 5*a = -15. What is the remainder when 1006 is divided by y?
46
Let u(l) = l**3 + 36*l**2 + 70*l + 73. Let i be u(-34). Suppose 4*c = -13*h + 16*h + 21, -i*c = 3*h - 33. Calculate the remainder when 38 is divided by c.
2
Suppose 5*z + 2*v = 735 - 2, z = v + 155. What is the remainder when z is divided by 54?
41
Suppose -3*s + 14 = 26, 2*s = -4*h - 1200. Let g = -145 - h. What is the remainder when g is divided by 39?
36
Suppose 5*y + 20 + 42 = 7*y. Calculate the remainder when 2628 is divided by y.
24
Suppose -4*p + 22 + 50 = 0. Let z be (26 - 0)*(-33 - 10)*1. Let y = z + 1185. Calculate the remainder when y is divided by p.
13
Suppose 8*q = 1096 + 5464. Let j = 822 - q. Calculate the remainder when 5 is divided by j.
1
Let h(y) = -3. Let w(t) = t**2 + 4*t + 44. Let m(c) = 5*h(c) + w(c). Suppose 0*k + 35 = 5*k. What is the remainder when m(-9) is divided by k?
4
Let u be (-70 - -25)/((-3)/4). What is the remainder when 69 is divided by (135/u)/((-6)/(-32))?
9
Let u(c) = -2*c + 8 + 23 + 16 - 1. Let s(f) = f**3 + 6*f**2 - 2*f + 7. Let n be s(-6). What is the remainder when 23 is divided by u(n)?
7
Let u(s) = -s**2 - 10*s + 3. Suppose 25 = -n - 4*n. Suppose -13735 = -138*y + 5309. Calculate the remainder when y is divided by u(n).
26
Let v(c) = 35*c - 3253. What is the remainder when 204 is divided by v(95)?
60
Let r be (3/(36/32) - 2)*-3. What is the remainder when 64 is divided by 6 + 0/(r - -4)?
4
Let z(w) = -1047*w - 3774. What is the remainder when 4565 is divided by z(-4)?
11
Let v(r) = -r**2 + 47*r - 368. What is the remainder when 471 is divided by v(32)?
23
Let p = 757 + -729. Let o = -16 - -7. Calculate the remainder when (1 - 0)/(o/(-477)) is divided by p.
25
Let j = -141 + 240. Suppose j = 10*b - 9*b. Calculate the remainder when b is divided by 21.
15
Let q(a) = -a**2 - 15*a + 45. Let y = 216 - 229. Suppose 8 = -2*o, 5*f - f - 76 = 4*o. What is the remainder when q(y) is divided by f?
11
Suppose 2*m = t + 668, 9*m - 14*m + 5*t = -1685. What is the remainder when m is divided by 146?
39
Suppose -22*y - 1782 = -31*y. Suppose y = 7*p - 4*p. Calculate the remainder when 328 is divided by p.
64
Let k(u) = 5*u**2 + 61*u - 142. What is the remainder when k(-16) is divided by 73?
16
Suppose -348*q + 18178 = -199*q. What is the remainder when 239 is divided by q?
117
S