 is divided by 86/(-86)*(-1)/(-11) + 442/22.
12
Let w(m) be the first derivative of -m**4/2 + m**3/3 - m - 3. What is the remainder when (-8)/36*504/(-16) is divided by w(-1)?
1
Let g be 143/5 - 9 - (-6)/15. Suppose 23*r + 5*u - 25 = g*r, -2*r = 2*u - 14. What is the remainder when 8 is divided by r?
3
Suppose 5*q - 4*d = 197, 127 = -16*q + 19*q + 2*d. Suppose q*h = 15*h + 416. What is the remainder when 363 is divided by h?
11
Let y = -77 - -91. Let t = 18 + 3. Calculate the remainder when t is divided by y.
7
Suppose 345 = 8*l + 273. Suppose 5*t + i = 1159 + 948, -t - 4*i + 429 = 0. What is the remainder when t is divided by l?
7
Let w(v) = -15*v - 40. Suppose -h - 89 = 106. Calculate the remainder when w(-4) is divided by h/(-27) + (-4)/18.
6
Let f be 4 + (-4 - -1) + 23. Let s(u) = 29*u**2 + 3*u + 2. Let x be s(-1). Let b = x - f. Calculate the remainder when 23 is divided by b.
3
Let a be 10 - 0 - 8/2. Let y(n) = 3*n - 15. Let r be y(a). What is the remainder when 46 is divided by 52/r + (-5)/15?
12
Let t = -42 + 105. Let g = -1461 + 1486. Calculate the remainder when t is divided by g.
13
Suppose -23*x + 5325 = -2817. Let b = -319 + x. What is the remainder when 697 is divided by b?
32
What is the remainder when 106 is divided by (1*(-3 - -5)/(-4))/((-63)/7308)?
48
Suppose 3*t - 245 = 4*t - 334. What is the remainder when 1678 is divided by t?
76
Suppose -69*f = -87*f + 180. Let h(v) = 36*v - 140. What is the remainder when h(f) is divided by 37?
35
Let t(w) = w**2 + 31*w + 75. What is the remainder when 709 is divided by t(-2)?
12
Let l(h) = h**3 - 10*h**2 - 21*h + 2. Suppose -4*b + 15 + 33 = 0. Calculate the remainder when 64 is divided by l(b).
26
Suppose -470*l + 469*l = 3*x - 38, 2*l = 3*x + 49. Let r = 232 - 136. Calculate the remainder when r is divided by l.
9
Suppose -4*u - 5 = 7, t - 5*u = 67. Suppose 37*r = t*r - 1050. Calculate the remainder when r is divided by 57.
13
Let m(y) = y**2 - 3. What is the remainder when 492688/22260 - 4/30 is divided by m(5)?
0
Suppose 4*r = x + 5, -14 = -3*x + 5*r + 6. Calculate the remainder when (27 + -7)/2*7 is divided by x.
10
Let s(v) = 89*v**2 - 52*v + 173. What is the remainder when s(8) is divided by 107?
103
Suppose 112*m = 109*m + 69. Suppose -537 = -9*x + 489. Calculate the remainder when x is divided by m.
22
Let y = -10150 - -10163. What is the remainder when 674 is divided by y?
11
Let n = 417 - -292. Let i = -693 + n. Let x(a) = -a**3 - 2*a**2 + 6*a - 3. What is the remainder when x(-5) is divided by i?
10
Let o(b) = -b**2 + 85*b - 1338. Calculate the remainder when 905 is divided by o(29).
47
Suppose 13*j + 2*j = -30. What is the remainder when (3/j)/(77/(-12166)) is divided by 80?
77
Let m(x) be the second derivative of -5*x**3/6 + 155*x**2/2 - 74*x. Suppose 0 = -p + 3 + 6. Calculate the remainder when m(28) is divided by p.
6
Let l(f) be the first derivative of -f**3/3 - 3*f**2/2 + 8*f - 1633. Let s be 18/(-5) - (-2)/(-5). What is the remainder when 19 is divided by l(s)?
3
Suppose -t - 4*w - 760 = -5*t, 0 = w + 4. Suppose 0 = 118*m - 145*m + 1701. What is the remainder when t is divided by m?
60
Suppose -r - 25 = -134. Suppose -x - 4 = 2*k, -3*x + 3 = k - 0. What is the remainder when r is divided by x*1*14*(-1 + 2)?
25
Suppose -68*c = -9*c - 5369. Calculate the remainder when 382 is divided by c.
18
Let o = 8621 - 8562. What is the remainder when 307 is divided by o?
12
Let h = -48 - -37. What is the remainder when 88/2 + h/((-121)/(-33)) is divided by 22?
19
Suppose 56*r - 390 = 51*r. Let t = -1521 + 1554. What is the remainder when r is divided by t?
12
Let f = 17125 - 15843. What is the remainder when f is divided by 28?
22
Suppose -4*w = -8, 3*r - 5*w = r + 338. Let t = r + -167. What is the remainder when t is divided by 5?
2
Let z(a) = 183*a**2 + 76*a + 154. What is the remainder when z(-2) is divided by 125?
109
Let r(s) = -s + 2. Let o be r(-6). Suppose 20 = 2*t + o. What is the remainder when (5 - 42/(-3)) + -4 is divided by t?
3
Let a(v) = -v**2 - 28*v - 35. Let l = 129 + -149. What is the remainder when a(l) is divided by 43?
39
Let o be 4 + (96/(-2) - 2). Let y = -42 - o. Suppose -y*z + 25 = -67. Calculate the remainder when z is divided by 12.
11
Suppose -5*s - 6 = -16. Suppose s*a + d - 18 = 0, 2*a - 4*a - 2*d + 16 = 0. Let k = 96 - 69. What is the remainder when k is divided by a?
7
Let x = 474 - 391. Suppose 0 = b + 39 - x. Calculate the remainder when b is divided by 26.
18
Let r = -34 + 13. Let l be (2 - -5)/((-21)/(-315)). Let u = l + r. Calculate the remainder when u is divided by 29.
26
Suppose 1175*m + 19071 = 1815*m + 1280*m + 1791. Let k = -35 - -95. What is the remainder when k is divided by m?
6
Let a be 0/((-2)/(-4)*-6). Suppose 2*d = 5*f - 110, a = 3*f + d - 43 - 34. Let l = -25 - -28. Calculate the remainder when f is divided by l.
0
Let o = 49 + -43. Suppose 14*s + o*s - 340 = 0. Suppose 3*i - i - 20 = 0. What is the remainder when s is divided by i?
7
Let b(t) = -34*t**3 - t**2 - 2*t + 2. Let o = 24 - 26. Let l be b(o). Let g = -163 + l. Calculate the remainder when g is divided by 38.
35
Let d(s) = -s**2 + 0*s**2 + 0*s**2 + 0*s**2 + 8*s**3 - 4*s + 4. Suppose 11 = 3*k - 31. What is the remainder when k is divided by d(1)?
0
Calculate the remainder when 222 is divided by (3/(-1))/18 + 8688/288.
12
Let n(t) be the third derivative of 5*t**4/4 + 73*t**3/6 + 4*t**2 - 6. What is the remainder when n(4) is divided by 65?
63
Suppose 42*t - 36 = 30*t. Suppose 6*p - 2*p + x = 41, 5*x - 52 = -t*p. What is the remainder when 14 is divided by p?
5
Suppose 505*g - 504*g + 34 - 134 = 0. Calculate the remainder when 133 is divided by g.
33
Suppose f + 12 = 3*b, 4*b - 684 = -3*f - 655. Let z(y) = 4*y**2 - 2*y - 1. What is the remainder when z(3) is divided by b?
4
Suppose -1539*x + 9445 + 5869 = -1526*x. What is the remainder when x is divided by 63?
44
Suppose 347 = x + 2*y, -5*x + 3*y + 1301 + 434 = 0. What is the remainder when x is divided by 121?
105
Let u = 26 - 11. What is the remainder when u is divided by (2 - (-26)/(-10))*(-93 - -83)?
3
Let b = 704 + -638. Suppose 4*p = -18 + 110. Suppose p = -0*r + r. What is the remainder when b is divided by r?
20
Let i(r) = -r**3 + 119*r**2 + 1360*r + 9105. Suppose 0 = -2*b + 674 - 46. Calculate the remainder when b is divided by i(130).
4
Let o be 7/2*120/42. Suppose -5*w = -15 + o. Suppose w + 18 = g. What is the remainder when 33 is divided by g?
14
Let q be ((440/(-30))/1)/(3/(-9)). Let k = q + -32. Suppose 4*w + 2*t = 212 + 52, t - 66 = -w. What is the remainder when w is divided by k?
6
Suppose -i + 31 + 13 = 2*x, -5*i - 4*x = -196. Calculate the remainder when 44279 is divided by i.
35
Let o(t) = 18*t**3 - 80*t**2 + 229*t + 3. What is the remainder when o(3) is divided by 18?
6
Let l = -16 - -15. Let y = 1 + l. Suppose 59 = 3*t + r, t - 5*t - 4*r + 92 = y. Calculate the remainder when 51 is divided by t.
15
Suppose 10 = 5*p - 0. Let l be 18*(4 - 6)/(-4). Suppose -l + p = -r. Calculate the remainder when 11 is divided by r.
4
Let t be (-1 - -2)*-1 + 4 + 8. Suppose 0 = t*z - 20*z + 720. What is the remainder when z is divided by 29?
22
Suppose -11*n + 4576 + 3762 = 0. Calculate the remainder when n is divided by 10.
8
Let u(a) = 20*a**2 + 10*a + 32. Let g be u(-3). Suppose -3*d + 147 = 2*c, -2*c - g = -2*d - 2*d. Let v = -39 + d. What is the remainder when 87 is divided by v?
7
Let z = 8117 - 8108. Calculate the remainder when 1331 is divided by z.
8
Suppose -245*w = -323*w + 25584. What is the remainder when 659 is divided by w?
3
Let o be (-1)/((-8)/12) - (-3)/(-2). Suppose o = -7*q + q + 54. Suppose -4*s + 39 = -q. What is the remainder when s is divided by 4?
0
Suppose z + 34 + 141 = 8*z. Suppose -j + 54 = -92. What is the remainder when j is divided by z?
21
Suppose 25*s = 23*s - 4*g + 68, 5*s - 3*g - 274 = 0. Calculate the remainder when s is divided by 27 + -1 + 0/1.
24
Let a = -5876 + 5930. What is the remainder when 179 is divided by a?
17
Suppose -5*f + 5*s = -40, 8*f = 4*s + 91 - 11. Calculate the remainder when 78 is divided by f.
6
Suppose -6*c + 40 = -2*c - 4*g, 30 = 3*c - g. Let m(p) = 19*p**2 + 102*p - 214. What is the remainder when m(2) is divided by c?
6
Suppose -4 = -2*w, -14*f = -12*f