7*j(p) + 5*q(p). Let d(h) = -h + 3. Calculate the remainder when d(-5) is divided by x(16).
2
Suppose 5*n = n + 64. Let b = -115 - -35. Let f = b - -108. Calculate the remainder when f is divided by n.
12
Let i(h) = 22*h**3 - h**2. Let p(t) be the second derivative of -2*t**4/3 - 74*t**3/3 + 16*t**2 + 124*t. What is the remainder when p(-18) is divided by i(1)?
20
Suppose 8 - 40 = -4*t. Suppose -t*x = -16*x + 240. Calculate the remainder when 105 is divided by x.
15
Let m = -140 + 129. Let y = 208 - m. What is the remainder when y is divided by 37?
34
What is the remainder when 194 is divided by (15/4 + (-99)/(-132))*6?
5
Suppose 2*c + 2*a - 210 = -0, 4*c - 465 = 5*a. Let d = c - 95. Suppose l - 2*k = d, -7*l + 30 = -3*l + 2*k. Calculate the remainder when 106 is divided by l.
7
What is the remainder when ((2/(-4))/(0 - -1))/((-178)/434676) is divided by 43?
17
Let v = -162 + 157. What is the remainder when 3 - (207/v + (-26)/(-65)) is divided by 24?
20
Let b = 2 - -6. Suppose 0 = 9*j - b*j - 191. Let w(r) = 2*r**3 - 19*r**2 + 27*r + 15. Calculate the remainder when j is divided by w(8).
35
Suppose 408*t - 55400 = 131*t. What is the remainder when 350 is divided by t?
150
Let u(l) = 2*l**3 - 9*l**2 - l - 2. Let w be u(5). What is the remainder when 60 is divided by (1 + 5)/(w/102)?
26
Let a = -104 - -16. What is the remainder when 85 is divided by (a/(-3))/((-38)/(-57))?
41
Suppose 3*a - 136 = 98. Suppose 16*o - 17*o = -a. Let r = -77 + o. Calculate the remainder when 2 is divided by r.
0
Let m(h) = -47*h**3 - h**2 - 18*h - 57. Let r be m(-4). Suppose 30*w - r = -w. What is the remainder when 283 is divided by w?
89
Let v = -164 - -169. Suppose 0*i + v*i - 2*j = 689, -2*i + 266 = 4*j. Calculate the remainder when i is divided by 47.
43
Suppose 2*i = 6*w - 4*w + 4340, 2*i - 4343 = 3*w. Suppose n = 3*n + 3*c - i, 4*n = 4*c + 4304. What is the remainder when n is divided by 18?
17
Suppose -3*b - 13*g + 11*g = -9475, -3*b - 3*g + 9474 = 0. What is the remainder when b is divided by 79?
78
Let y be ((-2712)/21)/((-2)/7). Suppose -80*w + 76*w + y = 0. Calculate the remainder when w is divided by 57.
56
Let f = -461 - -428. What is the remainder when 28 is divided by 1*75*(-11)/f?
3
Let c = 417 + -180. Calculate the remainder when c is divided by 10.
7
Let z = 7620 + -6921. Calculate the remainder when z is divided by 55.
39
Let w(r) = -r + 44. Let q(a) = 2*a**3 - 2*a**2 - 2*a + 8. Let s be q(4). Let c = s - 80. What is the remainder when w(0) is divided by c?
12
Suppose 46*p + 145*p + 28*p - 31536 = 0. Calculate the remainder when p is divided by 30.
24
What is the remainder when 9123 is divided by (-75)/(-2)*(12 + (-544)/48)?
23
Let f = 176 - -356. Let w = 636 - f. What is the remainder when w is divided by 36?
32
Let r be 0 + (-3)/(-12)*52 - 3. Suppose -3*j - y = -172, 289 = 5*j + 14*y - r*y. Calculate the remainder when 1022 is divided by j.
53
Suppose 17*g - 67260 = -21*g. Calculate the remainder when g is divided by 863.
44
Suppose -2*b + 272 = 5*o, -4*b = 885*o - 886*o - 522. Let n(s) = 2*s - 6. What is the remainder when b is divided by n(6)?
5
Let k be 4/14 - (4 - 2696/(-28)). Let t = -100 - k. Suppose -5*x - 4*w + 495 = 0, 0*w + 2*w + 10 = t. Calculate the remainder when x is divided by 27.
22
Suppose 189 = 1633*n - 1626*n. Calculate the remainder when 479/2 - 2/4 is divided by n.
23
Suppose -18*f + 22*f - 6*x = 110, 3*f = x + 93. What is the remainder when 6462 is divided by f?
30
Let x(y) = -y**3 - 31*y**2 + 31*y - 7. Let h be x(-32). Suppose 2*s + 4*r = 94, -27*r + 158 = 4*s - h*r. Calculate the remainder when 144 is divided by s.
33
Let s(o) = 4*o**2 - 41*o - 582. What is the remainder when s(-14) is divided by 46?
40
Let s = -10 + 1. Let q = 24 + s. Suppose -2111 = -7*n - 1922. Calculate the remainder when n is divided by q.
12
Let l(s) be the first derivative of s**3/3 + 17*s**2/2 + 81*s + 88. Calculate the remainder when 426 is divided by l(-10).
8
Suppose 0 = -2*f + 3*k + 55, 55 = 4*f - 6*k + 11*k. What is the remainder when 67 is divided by f?
7
What is the remainder when 131 is divided by (12 + 44/(-4))*31?
7
Suppose -a = -4*o + 6666 + 280, a + 2*o = -6940. Calculate the remainder when -1 + a/(-42) + 6/(-21) is divided by 33.
32
Suppose -4*b = -0*y - 3*y - 72, 4*y + 16 = 0. Let u = -47179 - -47265. Calculate the remainder when u is divided by b.
11
Let o(k) = 67 - 140 + 14*k**3 + 74 - 3*k**2. Calculate the remainder when o(1) is divided by 5.
2
Suppose -w - 10 = w, -3*t + w + 14 = 0. Suppose -4*f - 5*l + 43 = -0*f, t*l + 32 = f. What is the remainder when 130 is divided by f?
11
Let p = 26245 - 25811. Calculate the remainder when p is divided by 60.
14
Let o be (3 - 0) + (8 - 9). Suppose -i + 4*d + 14 = 0, 0*d - 4 = -o*i - 4*d. Let a(z) = 8*z - 31. What is the remainder when 66 is divided by a(i)?
15
Let p = 2043 - 2024. Calculate the remainder when 1461 is divided by p.
17
Let u = 450 - -707. Calculate the remainder when u is divided by 29.
26
What is the remainder when (-888)/((207/6)/(-23)) is divided by 153?
133
Let z = -52 + 6. Let a = 74 + z. Calculate the remainder when a is divided by 18.
10
Suppose 11*y + 5304 = 24*y. Let s = y - 299. What is the remainder when s is divided by 30?
19
Suppose -1 = u, -4*f = -2*f - u - 107. Suppose 0 = -7*v - 52 - f. What is the remainder when 5 is divided by (v/(-20))/(6/32)?
1
Let y be ((-1)/2)/(8/800). Let g = y - -179. Let c = -145 - -171. What is the remainder when g is divided by c?
25
Let r(p) = 5*p**2 + 69*p + 760. Calculate the remainder when r(-17) is divided by 175.
157
Let q(r) = -114*r - 1. Let i be q(1). Let y = 161 + i. Let a = -25 + y. Calculate the remainder when 82 is divided by a.
19
Let a be (9/3 + -2)*(-5 + 5). Let g = -7 + 13. Suppose v + a = -n + g, n + 3*v = 0. What is the remainder when 14 is divided by n?
5
Suppose 3*i = -v + 24 + 47, 5*i + v - 115 = 0. Suppose -6*k - 15 = -11*k. Suppose -k*m = -106 - 5. What is the remainder when m is divided by i?
15
Suppose -333*w + 337*w = 44. Suppose -w*v + 16*v = 35. What is the remainder when 13 is divided by v?
6
Suppose 4*x - 644 = g - 735, 0 = -g - x + 66. What is the remainder when 659 is divided by g?
20
Let s be (193 + -193)*1/2*-1. Suppose 5*w + 27 = 4*z, s = 48*z - 43*z - w - 18. Let l = -9 - -15. Calculate the remainder when l is divided by z.
0
Let u = 1864 + -1774. Calculate the remainder when u is divided by (4/(-6))/(4/(-6)) + 25.
12
Suppose -2087 = -4*d - i, 24*d - 23*d - 530 = -3*i. Calculate the remainder when d is divided by 22.
15
What is the remainder when (-10737)/(-27)*27/3 is divided by 18?
15
Suppose 2*a + 3*z - 272 = 0, 0 = 5*a + z - 491 - 189. Let i = 94 + -59. What is the remainder when a is divided by (-18)/(-42) + 1210/i?
31
Let b(r) = r**3 - 11*r**2 + 13*r - 28. Let p be b(10). Suppose p*w - 196 = -4*y, -2*w + 436 = 2*w - 3*y. Calculate the remainder when w is divided by 55.
51
Let k(t) = -99*t + 358. What is the remainder when k(-21) is divided by 122?
119
Suppose d + d = -4, 4*d = -r + 52. Suppose 4*o + 5*x = 9*o - r, -3*o = 2*x - 56. What is the remainder when 61 is divided by o?
13
Let q(f) be the third derivative of f**6/120 + 3*f**5/20 + f**4/24 + 47*f**3/6 - 36*f**2 - 3*f. Calculate the remainder when 142 is divided by q(-9).
28
Let u(z) = 5*z - 38. Let a be u(8). Suppose -2*m - a*j = -188, -4*m + j + 368 = 7*j. What is the remainder when m is divided by 25?
23
Let m(x) = 2*x**2 + 8*x - 30. Let d be m(3). Suppose 213 + 255 = d*l. What is the remainder when 151 is divided by l?
34
Let o(t) = -t**3 - 7*t**2 + 14*t + 3. Let n(v) = 5*v - 7. Let x be n(3). Suppose -x*z = -5*z - 66. What is the remainder when o(-9) is divided by z?
17
Let p(v) = 2*v**2 + v + 5. What is the remainder when 101 is divided by p(0)?
1
Let a(b) = -4*b**3 + b + 1. Let q be a(-1). Suppose -4*f + 1280 = q*f. Suppose 60*d - 62*d + 54 = 0. What is the remainder when f is divided by d?
25
Suppose -17*z + 805 + 311 = 28. What is the remainder when 974 is divided by z?
14
Suppose -2*y - 15 = -13, -4*y + 1986 = 5*r. Suppose 5*h = -3*q + r, -49 = 5*h - q - 463. What is the remainder when h is divided by 28?
26
Let g(p) = 2*p**2 - 18*p. Let h be g(-16). Suppose 11*d = -5*d + h. Calculate the remainder when 397 is divided by