t n(f) = 86*f - 1. Let x be n(1). Suppose 3*u - 46 - 20 = -2*s, 5*u = 5*s + x. Calculate the remainder when u is divided by -3 + 6 - 7 - (-22)/2.
6
Suppose 2*c - 5*n - 6 + 8 = 0, 5*c - 18 = n. What is the remainder when 79 is divided by 1677/86 - (-2)/c?
19
Suppose 90*k - 6840 + 990 = 0. What is the remainder when k is divided by (18/(-3))/(4/(-22))?
32
Let k(d) be the second derivative of -d**3/3 + 41*d**2/2 + 39*d. Calculate the remainder when k(-9) is divided by 3.
2
Let i = 567 - 615. What is the remainder when 28 is divided by ((-10)/6)/(i/72)*6?
13
Suppose 0 = -21*h - 13 + 349. Calculate the remainder when 1066 is divided by h.
10
Suppose -436*l + 4*i - 531 = -441*l, -2*l + 186 = -5*i. What is the remainder when 14522 is divided by l?
102
Let t = 1 - -52. Suppose -h - h + 14 = -2*m, -3*m + 5*h = 31. Let f = m - -10. What is the remainder when t is divided by f?
5
Let w(r) = 115*r - 31. Let h = -24 + 26. Calculate the remainder when w(h) is divided by 4.
3
Suppose 4*n + 29 = 41. Calculate the remainder when (-4305)/(-12) - (n + 9/(-4)) is divided by 36.
34
Let u(d) = -15*d - 141. Let g(z) = -8*z - 71. Let l(w) = 9*g(w) - 5*u(w). Calculate the remainder when l(-10) is divided by 10.
6
Let z = 47 - 43. Suppose 3*l = 6*l + z*h - 8, 17 = 5*l + 3*h. What is the remainder when l is divided by 4?
0
Let p(x) = -18*x + 6787. What is the remainder when p(88) is divided by 84?
79
Let a = -9325 - -9339. What is the remainder when 3047 is divided by a?
9
Suppose n = 5*o - 96, -42*o = -37*o + 3*n - 112. What is the remainder when 436 is divided by o?
16
Let c(z) = 165*z - 163*z + 101 + 145 + 321. Calculate the remainder when c(0) is divided by 38.
35
Let d = -155 - -159. Calculate the remainder when d - (-4 - -9 - 58) is divided by 15.
12
Let l be (-9)/(-4) - (3 + 45/(-12)). Suppose 5*u + 3*b = -2*b - 5, -l*u + b + 17 = 0. Suppose u*d + 0*d = 32. Calculate the remainder when 47 is divided by d.
7
Suppose -217*i = 137 - 17280. Calculate the remainder when 2538 is divided by i.
10
Let x = -93967 + 94066. Suppose -24 = 2*j - 78. What is the remainder when x is divided by j?
18
What is the remainder when 299 is divided by (-83)/(-2) + 45/2 + -21?
41
Calculate the remainder when 1006 is divided by 157 + (-1 - (31 + -13)).
40
Suppose -12 = -4*k - 2*k. Let j(r) = -4 + 2*r + 2*r**k - 5 - 6*r - 6*r. Calculate the remainder when j(8) is divided by 14.
11
Let h(q) = 10*q**2 - 2*q. Let t be h(-1). Suppose t*l = 2*l + 180. What is the remainder when ((-11)/(-4))/(8*4/384) is divided by l?
15
Let d(v) = v**3 - v**2 + 61. Calculate the remainder when 1582 is divided by d(0).
57
Suppose 0 = 71*y + 85*y - 2184. Calculate the remainder when 2837 is divided by y.
9
Let o(v) = -4*v**3 - v**2 + 2*v + 3. Let u(h) = -37*h**2 - 410*h + 34. What is the remainder when u(-11) is divided by o(-2)?
13
Let m be (20/(-8))/(10/20). What is the remainder when 6 - 3 - (m + 4)*48 is divided by (-170)/(-6) + 48/(-36)?
24
Suppose -235*b + 537*b - 400 = 252*b. Suppose 39 - 132 = -3*y. Calculate the remainder when y is divided by b.
7
Let q(y) = 46*y**2 + 2*y + 1. Calculate the remainder when 5 - (16/40 - 741/15) is divided by q(-1).
9
Suppose -4*h = 6 - 34. Suppose -2*p + 292 = -152. Let j = p - 119. What is the remainder when j is divided by h?
5
Let j = 83 + -47. Suppose -3*t - 90 = -3*b, 3*b = -t + 130 - j. Suppose 12*u - z = 15*u - 31, 12 = 3*z. Calculate the remainder when b is divided by u.
4
Let t(x) = x**2 + 117*x + 473. What is the remainder when 5495 is divided by t(-114)?
124
Suppose -24*g = 12*g - 5472. Suppose -30*v + 28*v + g = 0. What is the remainder when 219 is divided by v?
67
Let h(v) = 6*v**2 + 74*v + 1047. What is the remainder when h(-24) is divided by 130?
127
Suppose 0 = -t + 5*q + 286, -96*t = -93*t + 3*q - 894. What is the remainder when t is divided by 139?
18
Let m = -125 + 164. Suppose -4*n + 17 = -m. Let f = -21 + 58. Calculate the remainder when f is divided by n.
9
Suppose 5*o - r + 68 = 0, -7*r = -2*r + 10. Let m = -41 - -74. Calculate the remainder when m is divided by -2 + -3 + 9 - o.
15
Let k(g) = -131*g - 2737. What is the remainder when 65 is divided by k(-21)?
9
Let n = 98 + -89. What is the remainder when 262 is divided by 373/7 + 8*n/(-252)?
50
Suppose 0*h + 4*h = -2*z + 96, -4*h = -z - 90. What is the remainder when h is divided by (-14)/(((-8)/10)/((-20)/(-50)))?
2
Let y = -429 - -1161. Suppose 2*i - 1792 = -2*a, -3*i + 3*a = -y - 1956. Calculate the remainder when i is divided by 31.
28
Let g(t) be the third derivative of -t**6/60 + t**5/10 + t**4/12 + 19*t**2. Let x = 48 + -45. Calculate the remainder when 13 is divided by g(x).
1
Let j = -609 - -740. Suppose 0 = -5*a + 20, 0 = -2*w + 2*a + 2*a + 28. What is the remainder when j is divided by w?
21
Let g be 50/575 + 1079/23. Let j(l) = -l**3 + 47*l**2 + 3*l - 103. Calculate the remainder when j(g) is divided by 17.
4
Suppose 0 = -4*v + 23*w - 24*w + 37, 3*w + 29 = 2*v. What is the remainder when 171 is divided by v?
1
Suppose -18*k + 22*k - 5*z - 1390 = 0, k - 337 = 3*z. Calculate the remainder when k is divided by 35.
5
Suppose 0 = -m + 376 - 380, 6*m = -2*a - 10. What is the remainder when 146 is divided by a?
6
Let a = -16384 + 16509. Calculate the remainder when 414 is divided by a.
39
Let l = 18 + -16. Suppose 3*v + 93 = 2*f, -4*v = -5*f + l*f + 125. Let u = v - -31. Calculate the remainder when 7 is divided by u.
1
What is the remainder when 5003 is divided by 51570/360 + 2/(-8)?
141
Suppose -22 = -m - 2*g - g, 2*m - 4*g = 44. Suppose 164 - 64 = 10*c. Calculate the remainder when m is divided by c.
2
Calculate the remainder when 202 is divided by (-6)/4*(75/9 - 7) - -86.
34
Let z(r) = -6*r**2 + 2*r + 3. Let q be z(-2). Let u = q + 47. Calculate the remainder when u is divided by -1 + 354/24 + (-3)/4.
9
Let p = -1629 - -2041. What is the remainder when p is divided by 30?
22
Suppose 9 = -3*i, -4*x - x + i = 3*x - 1475. Suppose -5*b - 212 = -4*v, 0*v - 2*v + b = -100. Calculate the remainder when x is divided by v.
40
Suppose h = 13*j - 18*j + 2311, 2*j = -4*h + 928. Let a = -442 + j. What is the remainder when 171 is divided by a?
11
Suppose 3*w - 4*v + 34 = 2, 3*v = 6. Let a = 133 - w. What is the remainder when a is divided by 12?
9
Suppose 56*h = -4*b + 48*h + 916, -b + h + 247 = 0. What is the remainder when 8675 is divided by b?
240
Calculate the remainder when 2822 is divided by 1/2 - (9/(-6) + -23).
22
Let k = 112 - 19. Let y = -13599 + 13611. What is the remainder when k is divided by y?
9
Let k be 3/36*-9 + (-35)/(-4). Suppose 305 = k*z - 207. What is the remainder when 316 is divided by z?
60
Let t = 8331 + -8269. Calculate the remainder when 1361 is divided by t.
59
Let v(f) = -27*f - 159. Let m be v(-6). Suppose -3*k = -2*q - 60, 5*q + 25 = m*k - 26. What is the remainder when 175 is divided by k?
21
Let v(j) = j**3 + j**2 - 9*j. Let r be v(3). Suppose 8 = -7*y + r*y. What is the remainder when 215/y + 2/8 is divided by 14?
12
Let q(a) = 36*a + 1082. What is the remainder when 275 is divided by q(-29)?
9
Let o = -1901 + 1131. Calculate the remainder when 58 is divided by (-35)/315 + (o/9)/(-5).
7
Suppose 0 = -5*u + 8 - 33. Let l = u + 9. Suppose 3*j + 2*w + 2*w = 51, 0 = -2*j - l*w + 38. What is the remainder when 51 is divided by j?
12
What is the remainder when (-3)/(-8) - (102015/(-24) + 9) is divided by 28?
14
Suppose 2*g + 3*g = l + 9, 5 = 5*l. Suppose g*t = 453 - 89. Let h(z) = z**2 - z + 7. What is the remainder when t is divided by h(6)?
34
Calculate the remainder when (472 - -4)*3/((-198)/(-30) + -6) is divided by 63.
49
Let q(h) = 329*h**3 - 2*h**2 - 2*h - 1. Let p be q(-1). What is the remainder when (79/(-237))/(-1*(-2)/p) is divided by 19?
17
Suppose -10604 = 7*c - 5*c - 13*c. Calculate the remainder when c is divided by 22.
18
Suppose -7*o = 37*o - 3740. Suppose -k - 28 + o = 0. What is the remainder when 60 is divided by k?
3
Let a = 402 - 436. Let i = a + 66. What is the remainder when 182 is divided by i?
22
Let j(f) = 18*f**2 - 88*f + 24. Calculate the remainder when j(-12) is divided by 41.
23
Suppose 3*g + 92 - 17 = 0. Let o = g - -134. Let s = o + -78. What is the remainder when s is divided by 18?
13
Suppose -4*i + 32 = 2*j - 30, 0 = 5*j - 3*i - 181. L