t(f) = 42*f**2 + 3*f + 4. Let v(n) = -1. Let l(p) = t(p) - 3*v(p). Let m be l(5). Suppose d = 17*d - m. What is the remainder when d is divided by 17?
16
Let o = -3570 - -3584. Let k(w) = -4*w**3 + 2*w**2 + 3*w + 3. Suppose 0 = i + 2. What is the remainder when k(i) is divided by o?
9
Let l(w) = 3*w**2 - 35*w - 1. Let a = -112 + 163. Calculate the remainder when l(15) is divided by a.
47
Let f(r) = -11*r - 14. Suppose -16 = 6*v - 4. Calculate the remainder when 28 is divided by f(v).
4
Suppose 12*o = -24*o + 2196. Suppose 2*r = 5*l + 13, 5*l = -5*r + o - 11. What is the remainder when r is divided by 6?
3
Suppose 46*y + 102 = 11050. Calculate the remainder when y is divided by 8.
6
Let t = -158783 + 158806. Let z(o) = -o**3 + 6*o**2 + 4*o - 7. What is the remainder when z(5) is divided by t?
15
Suppose 3*h - 2*h - 44 = 0. Suppose c - 131 = -2*b, 70*b + 255 = 73*b - 5*c. What is the remainder when b is divided by h?
26
Let l(y) = -19*y + 519. What is the remainder when 33 is divided by l(27)?
3
Let m = -7240 - -7256. What is the remainder when 286 is divided by m?
14
Suppose 0 = g + 4*k - 44 - 36, -3*g + 219 = 5*k. What is the remainder when g is divided by 8?
4
Suppose -256 - 326 = -97*g. Calculate the remainder when 4383 is divided by g.
3
Let r(i) = 420*i - 1197. What is the remainder when 558 is divided by r(3)?
54
Suppose 8 + 28 = 9*j. Let s be 38*(2 + (-10)/j). Let x = s + 31. Calculate the remainder when x is divided by 5.
2
Suppose -38323 = 17*m - 41876. Calculate the remainder when m is divided by 36.
29
Let k(h) be the first derivative of 5*h**3/3 + 3*h**2/2 + 4*h + 82. Suppose 6 + 2 = -4*p. What is the remainder when 67 is divided by k(p)?
13
Suppose -j = -4*p - 41, 2*j - 2*p - 81 = 37. Calculate the remainder when 681 is divided by j.
31
Suppose 4*d - 3*a = -457 + 2755, 4*d = -3*a + 2310. Calculate the remainder when d is divided by 87.
54
Suppose 3*l + 20 = 152. Calculate the remainder when 1318 is divided by l.
42
Suppose 3 = k - 5. Suppose 2*n + 0 - k = 0. Let v = -105 - -112. What is the remainder when v is divided by n?
3
Suppose t = i - 47 - 2, 3*t = -2*i + 108. Suppose -22*l = -405 + 9. Calculate the remainder when i is divided by l.
15
Suppose 530 = -5*m - 4*i + 1494, -758 = -4*m - i. Calculate the remainder when m is divided by 89.
10
Suppose -3245 + 33374 = 41*z - 18989. Calculate the remainder when z is divided by 40.
38
Calculate the remainder when ((105/(-4))/5)/(381/(-14224)) is divided by 64.
4
Suppose 63*h + 785 = 68*h. Suppose h = 4*m + 1. What is the remainder when m is divided by 15?
9
Let o(m) = -9*m + 168. Let d be o(16). Suppose -d = 120*k - 122*k. Calculate the remainder when k is divided by 2.
0
Suppose -55*k + 9805 = -2*k. What is the remainder when k is divided by 162?
23
Let w(d) = 303 - d - 311 - 15*d. Let u be w(-3). Suppose 0 = 5*j + h - 44, j + u = 5*j - 4*h. Calculate the remainder when j is divided by 5.
4
Let m(y) = y - 4. Let h be m(5). Let t be (4/((-112)/(-21)))/(h/(-28)). What is the remainder when ((-78)/8)/(t/56) is divided by 14?
12
Suppose 26503 = 94*d - 6585. What is the remainder when 1748 is divided by d?
340
Suppose 4*p = k - 5555, -16617 = -3*k + 7*p - 11*p. What is the remainder when k is divided by 94?
91
Suppose -3*d - 5*w + 51 + 131 = 0, 0 = 4*d - 3*w - 291. Calculate the remainder when 149 is divided by d.
11
Let d(h) = -h - 8. Let v be d(-12). Suppose v*t - 21 + 5 = 0. Suppose -t*q - 25 = -x + q, x = -4*q + 7. What is the remainder when 87 is divided by x?
12
Let r be 4/10 + 2 + (-174)/(-15). Let n(f) = 45*f**3 + 3*f**2 - f - 1. Calculate the remainder when n(1) is divided by r + (0 - 4) - 0.
6
Suppose -756 = -4*k + 4*u, 5*k - 20*u = -22*u + 917. Calculate the remainder when k is divided by 27.
23
Suppose 3*d + 3*r = 3327, -3*d + 4*r - 637 = -3971. Calculate the remainder when d is divided by 101.
100
Let s = -85 + 87. Suppose -q = -4, s*j - 4*q = j - 22. Calculate the remainder when 25 is divided by 56/j*6/(-4).
11
Let p = 24 + -16. Suppose -386 = -4*c - 370. Calculate the remainder when p/(-44) - 202/(-22) is divided by c.
1
Let d(x) be the third derivative of 2*x**4/3 + 61*x**3/6 - 22*x**2. What is the remainder when 205 is divided by d(-3)?
10
Suppose 0 = -223*p + 52*p - 184*p + 102950. What is the remainder when 302 is divided by p?
12
Let a = 1695 + -1627. Suppose 2*l + 2*l + 18 = 2*g, 0 = -3*l - 15. What is the remainder when a is divided by (1 - g) + -2 + 14?
12
Suppose -6*g = -10997 - 13177. What is the remainder when g is divided by 63?
60
Let m(y) = y**2 - 18*y - 5. Let n be (-43)/(-5) + -3 - (-4)/10. Let d be m(n). Let j = d - -93. Calculate the remainder when 78 is divided by j.
14
Let x be (-15)/18 - (-75)/90. Suppose x = 2*z - 288 - 212. Calculate the remainder when z is divided by 85.
80
Let z(u) = -6*u - 18. Let y be z(-9). Suppose -38*i + y*i = -12. Let p = -119 + 170. What is the remainder when p is divided by i?
3
Let d = -13 - -25. Suppose 2*t + 10 = 0, u - 35 = 9*t - d*t. Calculate the remainder when u is divided by 20.
10
Suppose 0*l - 3*l + 300 = 0. Let t(f) = -6 + 67 + 5*f + 35*f. What is the remainder when l is divided by t(-1)?
16
Let k = 6109 - 4994. Calculate the remainder when k is divided by 368.
11
Suppose -3050 = 5*k - 5*w, w = -5*k + k - 2450. Calculate the remainder when 133 is divided by (2/8)/((-9)/k).
14
Let n = 60 + -57. Let i be (n/6)/((-3)/(-300)). Suppose 0*s - 4*x = -2*s + 36, -2*s = 3*x - i. Calculate the remainder when 42 is divided by s.
20
Suppose -32705 = -69*z + 38*z. Calculate the remainder when z is divided by 48.
47
What is the remainder when ((-51702)/16003)/((-1)/26) is divided by (3/(-12) + -1)*-24?
24
Suppose 177*w + 598 = 203*w. What is the remainder when 130 is divided by w?
15
Let i = -17665 + 17685. Calculate the remainder when (-6)/9 - 413/(-3) is divided by i.
17
Let g(a) = 23*a + 1699. What is the remainder when g(9) is divided by 1895?
11
Suppose -210 = 22*s - 16*s. Let d(j) = j**3 - 24*j**2 + 20*j + 23. Let t be d(23). Let x = s - t. What is the remainder when 54 is divided by x?
10
Let z be 6*-9*10/(-45). Suppose 3*o + 71 = 2*u, -z*u - 5*o = -11*u - 68. What is the remainder when 54 is divided by u?
11
Let d(i) = 2*i**3 - 5*i**2 + 10*i + 31. Let w be d(7). Suppose 5*c - w = 3*x, 220 = 2*c - 0*x - 2*x. What is the remainder when c is divided by 36?
34
Suppose -u = -3*b - 33, -2*u + 3*b = -21 - 30. Suppose 0 = -1084*c - 81*c + 72230. Calculate the remainder when c is divided by u.
8
Let s = -733 + 1258. Let y(z) = -5258*z + 52611. Calculate the remainder when s is divided by y(10).
29
Suppose l = -5*f - 0*f - 98, 4*f + 72 = -4*l. Let t = f - -24. Suppose 2*g = -s + 49, 2*s + 9 = t*g + 131. What is the remainder when s is divided by 19?
17
Let g = 44 - 23. Suppose 0 = -4*f + 2*t + 22, 4*t = 4*f - 0*t - 16. Suppose -f*o + 400 = 3*o. Calculate the remainder when o is divided by g.
19
What is the remainder when -38*((-32)/24*63/24 + 3) is divided by 7?
5
Suppose 0 = a + l + 3, -3*l - 4 = -2*l. Calculate the remainder when 72 is divided by (-31)/(-2) + a*(-4)/8.
12
Let w(u) = -14*u - 206. Let p be w(-16). Calculate the remainder when 22 is divided by 12 - ((-14)/p + 30/(-135)).
9
Let r(t) = -2*t - 14. Let d be r(-8). Let a = 47 - 29. Calculate the remainder when (4*(-10)/80)/(d/(-484)) is divided by a.
13
Let c(a) be the first derivative of -29*a**4/2 + 2*a**3/3 + 2*a**2 + 3*a - 27. Calculate the remainder when c(-1) is divided by 13.
7
Let j(b) = 2*b**2 + 3*b + 3. Let g be j(-2). Suppose 0 = 4*u - 5*i + 256, g*i - i = -4*u - 256. Let m = -57 - u. What is the remainder when 29 is divided by m?
1
Let c = 419 - 406. Suppose c*f - 6 = -o + 15*f, -5*o - 3*f = -82. Calculate the remainder when 794 is divided by o.
10
Let w(g) = g**2 - 46*g + 319. Calculate the remainder when w(42) is divided by 89.
62
Let r(k) = -k**2 - 4*k + 8. Let c be r(-6). Let z(v) = -v - 5. Let j be z(c). What is the remainder when (-54)/(-9) - (j - 0) is divided by 6?
1
Suppose 35*y - 40 = 31*y. Let q = -10 + y. Suppose -30*a + 33*a - 78 = q. What is the remainder when a is divided by 15?
11
Let u be (-2)/5 + 4598/95. Suppose -3*c = -2*r - 48, -3*c + 3*r = 4*r - u. Calculate the remainder when c is divided by 4.
0
Suppose 51*u = 46*u + 15. Suppose -