-3*i + 2*i = 0. Suppose -2*z + i*z + 4*p = -156, -z + 72 = -5*p. Calculate the remainder when z is divided by 20 - (29/9 + 14/(-63)).
14
Let p(t) = 43 - 18 - 2*t + t - 20. Let g = -14 - -10. Calculate the remainder when 34 is divided by p(g).
7
Let v(o) = 12*o**2 + 132*o + 30. What is the remainder when 2758 is divided by v(-11)?
28
Suppose -2*i = 5*m - 145, -i = 5*m - 3*m - 70. Suppose 3 = 2*q - c - 81, -5*c = 2*q - i. Let d = -1747 + 1761. Calculate the remainder when q is divided by d.
12
Let w = 5015 - 1397. What is the remainder when w is divided by 1205?
3
Let x = 297 + -294. Suppose 3*d = x*k + 168, -11*k + 12*k = -2*d + 97. What is the remainder when 99 is divided by d?
48
Let c(q) = -36*q + 421. Let n(x) = x**3 - 12*x**2 - 9*x - 6. What is the remainder when c(10) is divided by n(13)?
15
Let n = -360 + 354. Calculate the remainder when (n/(-9))/(4/570) is divided by 6.
5
Let t(x) = -6*x + 98. Let p be t(-5). Let i = p + -120. Calculate the remainder when 262 is divided by i.
6
Suppose 76*r + 7760 = 116*r. Calculate the remainder when r is divided by 187.
7
Let q = 738 + -724. What is the remainder when 25 is divided by q?
11
What is the remainder when 67 is divided by 14/8 - (-494)/152?
2
Let n(k) = k**2 + 3. Let q = -137 + 121. Let r(g) = -g**3 - 15*g**2 + 18*g + 38. What is the remainder when n(5) is divided by r(q)?
4
Let x(p) = p**3 + 46*p**2 + 467*p + 64. Calculate the remainder when 411 is divided by x(-31).
1
Let o(b) = -8*b. Let q(v) = v - 1. Let j(c) = -o(c) + 2*q(c). Suppose -5*m - 5*y + 14 = -1, -8 = -5*m + 2*y. What is the remainder when j(m) is divided by 10?
8
Suppose 3*o = -2*o - 20, -o + 101 = -5*x. Let v be (0 + 12/(-14))*x. Suppose -4*h + 42 + v = 0. What is the remainder when h is divided by 13?
2
Let b = -6045 - -7845. What is the remainder when b is divided by 69?
6
Suppose 0 = 444*v - 18774 - 181377 - 40497. Calculate the remainder when v is divided by 115.
82
Suppose -6*t = -2*t - 3*o - 1070, 261 = t - 4*o. Suppose 22500 - 19044 = 64*j. Calculate the remainder when t is divided by j.
53
Suppose 3*t + 4*q - 36 = 0, -111*t + 116*t + q = 43. What is the remainder when 884 is divided by t?
4
Suppose 2*l + 114 = 10*q - 11*q, 5*q = 2*l - 606. Let k(x) = x + 1. Let h be k(-1). Calculate the remainder when 137 is divided by (h + -1)/(-2*(-3)/q).
17
Let y be (1 - (1 - 0)) + -70. Suppose 40*g = 17*g - 1472. Let k = g - y. What is the remainder when 45 is divided by k?
3
Let l be 1/(-1 - (0 + -2)). Suppose 0 = -7*m + 92 - l. Suppose 5*p = 4*p - 3*n + m, 5*p + 5*n = 95. Calculate the remainder when p is divided by 14.
8
Let w(j) = -j**2 + 69*j + 818. What is the remainder when 420 is divided by w(-9)?
72
Let m be (-56)/(-30) - 3 - 4/(-30). Let c(o) = -o**3 + 18*o**2 - 15*o - 4. Calculate the remainder when (-534)/(-9) + m/3 is divided by c(17).
29
Let n be -2 - (2 - (-209 + (-8)/(-2))). Let k = n - -368. Let v(g) = g + 40. What is the remainder when k is divided by v(-13)?
24
Let l(b) = b**3 - 4*b**2 + 7*b - 15. Suppose 82*y - 77*y + 80 = 0. Let g be (-60)/y - (-2)/8. Calculate the remainder when 49 is divided by l(g).
10
Let m(f) be the first derivative of -1/4*f**4 - 7/2*f**2 + 3*f**3 - 23 - 10*f. Calculate the remainder when 114 is divided by m(7).
36
Calculate the remainder when 2782 is divided by (158/790)/(1/145).
27
Suppose 4476*f = 4351*f + 1375. What is the remainder when (-1 - -3)/((-10)/(-365)) is divided by f?
7
Let v = -460 + 83. Let c = v - -415. What is the remainder when c is divided by 6?
2
Let v = 3897 + -3798. What is the remainder when 577 is divided by v?
82
Let i(v) = 325*v - 1856. Calculate the remainder when i(8) is divided by 125.
119
Let q = 47 + -37. Let c be q*(4 - (-21)/(-6)). Suppose -29 = c*j - 229. What is the remainder when j is divided by 11?
7
Let k(i) = 8*i**2 - 163*i + 195. Calculate the remainder when 512 is divided by k(20).
107
Let k(m) = 3*m**3 + 143*m**2 + 82*m - 174. Calculate the remainder when k(-47) is divided by 21.
12
Let b(j) = -45*j - 28 - j**3 + 7 + 5*j**2 + 66*j. Calculate the remainder when b(7) is divided by 15.
13
Let x be (28/(-8))/((-2)/4). Let m(i) = 30 - 7*i + i**2 - 37 + 36. What is the remainder when 114 is divided by m(x)?
27
Let f(k) = -5*k - 4. Let d be f(0). Calculate the remainder when 51 is divided by d/22 + 92/22 - -16.
11
Suppose 62*i = 61*i, 5*p - i = 1755. What is the remainder when p is divided by (-9)/45 - 442/(-10)?
43
Let z = 5844 - 5663. Calculate the remainder when 1078 is divided by z.
173
Let n = -60 + 138. Suppose -16*k + 5374 = 430. What is the remainder when k is divided by n?
75
Suppose 5*k + 69*l - 70*l = 1730, k + l - 340 = 0. Calculate the remainder when 19661 is divided by k.
341
Suppose -50*j = 40*j - 3870. Calculate the remainder when 105 is divided by j.
19
Let l(u) = 17 - 32 - 32 + 15*u. Calculate the remainder when l(30) is divided by 68.
63
What is the remainder when (((-6)/15)/((-49)/35))/(57/1283982) is divided by 140?
136
Let f(x) = 11*x**2 + 56*x + 21. Let g(l) = -l**2 + 7*l + 3. Let w be g(7). Calculate the remainder when f(-5) is divided by w/(-12) + 45/4.
5
Suppose 5*k - 710 = 5*y, 40*k - 710 = 35*k - 5*y. What is the remainder when k is divided by -32*(18/(-4) + 4)?
14
Suppose -a = -3*u - 14, -2*a = 3*a - u - 56. Let s = -18 - -14. Let y(b) = -11*b - 2. Calculate the remainder when y(s) is divided by a.
9
Let g = 22454 + -22308. Calculate the remainder when 717 is divided by g.
133
Let p = -94 - -93. Let w be p - 1 - (9 - -50). Let y = w - -167. Calculate the remainder when y is divided by 37.
32
Suppose 75*t - 282*t + 20087 = -98938. Calculate the remainder when t is divided by 268.
39
What is the remainder when 238 is divided by ((-9)/6)/(48/(-3552))?
16
Suppose -3 = -5*p - 13. Calculate the remainder when (-7 + (2 - -1))*p is divided by 5.
3
Suppose -5*s + 4*l + 169 = 0, 3*s - l - 181 = -2*s. Suppose -7 = -y, 13 + 411 = 2*b - 2*y. Calculate the remainder when b is divided by s.
34
Suppose 0 = -77*p + 46*p + 187581. What is the remainder when p is divided by 89?
88
Suppose 92*r - 54 = 89*r - b, r - 3*b = 28. Calculate the remainder when 6321 is divided by r.
13
Let j be (539/(-22))/((-3)/6). Let u = 37 + j. Calculate the remainder when u is divided by 29.
28
Let f(a) = -71*a - 8. Suppose -6*l = -l + 20. Let p be f(l). Suppose -2*w + 102 = 3*v - v, 0 = 5*v - 2*w - p. Calculate the remainder when v is divided by 11.
10
Let q(h) = h**3 + 10*h**2 + 20*h + 4. What is the remainder when q(5) is divided by 236?
7
Let y(h) = -3*h**3 + 3*h**2 + 6*h + 3. Let f be y(-1). Suppose -f*g = -24*m + 23*m + 8, -2*g = 0. What is the remainder when 146 is divided by m?
2
Let o be (-430)/(5*3/15). Let g = o - -466. What is the remainder when g is divided by 20?
16
Suppose 5*c = -5*a + 1755, 3*c = -2*a - 31 + 728. Let o = 363 - a. What is the remainder when 56 is divided by o?
0
Suppose 21*q - 16*q = 3*g - 97, -6*q - 128 = -4*g. What is the remainder when 723 is divided by g?
27
Let u = -14189 + 14290. What is the remainder when 188 is divided by u?
87
What is the remainder when 6837 is divided by ((-90)/(-675) - 184/30) + 101?
92
Calculate the remainder when 10/25 - (-7 + (-23340)/25) is divided by 191.
177
Suppose -4*w - 3*v = -8*v - 30, 4*w + 3*v = 14. Suppose 0 = -3*s - 17 + w. Calculate the remainder when 4 + s/6*6 + 86 is divided by 11.
9
Suppose -3*p = 15, 2*t - p = -t + 524. Calculate the remainder when t is divided by -8*(20/16 + -2).
5
Suppose -4*g + 99 = 5*g. Let r(z) = 2*z**2 - 14*z + 16. Let n be (1 + 7)*(0 - -1). Calculate the remainder when r(n) is divided by g.
10
Suppose x - 5*p = 31 + 7, 8 = x + 5*p. Calculate the remainder when 91 is divided by x.
22
Let z = 313 + -41. What is the remainder when z is divided by (-2)/(-10) - (-2508)/110?
19
Let f(n) = -n**3 + 22*n**2 - 57*n - 240. What is the remainder when 1 + 86 + -2 + 2 is divided by f(18)?
27
Suppose -81 = -y - 3*b - 19, -20 = 4*b. Let s = 99 - y. Calculate the remainder when 59 is divided by s.
15
Calculate the remainder when (2 - 268 - 2)/(-2) is divided by (-2 + 2)/(-4 + -2) + 2 - -26.
22
Suppose b + 3*v = -2*b + 24, 3*b + 4*v - 27 = 0. Let c(u) = 11*u**2 - 4*u + u + b + 3 - 5. Calculate the remainder when c(2) is divided by 22.
19
Let p(g) be the second derivative