z**2 + 44*z - 243. Let r be j(12). Suppose 2*a = 5*i - 583, -a = -0 - 1. Let b = r - i. Calculate the remainder when b is divided by 14.
10
Let a(h) be the third derivative of h**5/60 + 7*h**4/8 - 7*h**3/3 - h**2. Let o be a(-20). Let k = 50 + o. Calculate the remainder when 95 is divided by k.
15
Suppose -l + 82 = 3*j - 190, -4*j + 368 = 2*l. What is the remainder when j is divided by 1020/27 - (-2)/9?
12
Suppose 71*c - 7451 - 6820 = 0. What is the remainder when c is divided by (-12)/9*(-93)/2?
15
Let x(p) = -1213*p**3 - p + 1168*p**3 + 1 - 2 + 3*p + 4*p**2. Let r = 23 + -10. Calculate the remainder when x(-1) is divided by r.
7
Suppose 7*k + 13*k - 9855 = 5*k. What is the remainder when 2639 is divided by k?
11
Let s(f) = -265*f + 4. Let x be s(2). Let z = x + 547. Calculate the remainder when 124 is divided by z.
19
Let s = -19704 + 21325. Calculate the remainder when s is divided by 13.
9
Let a = -52 + 80. Let g(z) = -2*z**2 - 5*z + 68. Let r be g(-7). Let y = 20 - r. Calculate the remainder when a is divided by y.
13
Suppose 0 = -2*g + t + 61, 7*g - 158 = 2*g - 3*t. Let f = -57 + g. Let x = f - -101. Calculate the remainder when x is divided by 13.
10
Suppose 13*a = 15*a - 4670. Suppose 5*k - a = 3*b - 8*b, 2*b + 4*k - 932 = 0. What is the remainder when b is divided by 47?
45
Let d be 1/3 - 642/(-18). Suppose 0 = -5*m - 6 + d. Suppose -44 + m = -2*u. What is the remainder when u is divided by 2?
1
Suppose 0 = 56*f - 54*f - 10. Let o be (f/(-2))/((-100)/80). Suppose -3*q = 2*u - 32, -4*u - q + 32 = -o*u. Calculate the remainder when u is divided by 7.
2
Suppose -j = -4, -5*f = j + 5 - 29. Suppose f*m - m + 2*v = 450, -5*v - 750 = -5*m. Calculate the remainder when m is divided by 28.
10
Suppose -73807 - 185849 = -124*h. What is the remainder when h is divided by 4?
2
Let t be 6/51 + (-446)/34. What is the remainder when 28 is divided by (t - -5)/(3 + 28/(-8))?
12
Let d = 42 - 39. Suppose -d*z - 1000 = 5*z. Calculate the remainder when 2 + z/(-2) + (-3)/(-6) is divided by 22.
21
Let j = 134 + -134. Suppose -4*s = -3*m + 3 + 61, 2*s - 10 = j. Calculate the remainder when 106 is divided by m.
22
Let q(b) = -12*b - 123. Let n(f) = -3*f - 134. Let w be n(-41). What is the remainder when 39 is divided by q(w)?
3
Suppose 5*o = -7*o. Suppose -3*i = -o*i + 15. Let q = 33 + i. Calculate the remainder when q is divided by 5.
3
What is the remainder when 8 - -150*6/(-9)*-15 is divided by 49?
38
Suppose -4323 = -2*w + 6160*t - 6157*t, -4*t = 5*w - 10773. What is the remainder when w is divided by 180?
177
Suppose -2*l = 3*y - 1267 - 13145, 0 = -3*l. What is the remainder when y is divided by 54?
52
Let p = 17220 + -17207. Suppose 3 = 4*y - 125. What is the remainder when y is divided by p?
6
Let n(t) = 3*t**2 - 2*t - 11. What is the remainder when n(8) is divided by 5/((-160)/64)*(-11 - 1)?
21
Suppose 1833*z - 1921*z + 8624 = 0. What is the remainder when z is divided by 190/4 - (-2)/4?
2
Let w = -4995 + 5045. Calculate the remainder when 849 is divided by w.
49
Suppose 21 - 21 = 6*t. Suppose t = 2*f - 4*w - 204 - 26, 5*w - 312 = -3*f. What is the remainder when f is divided by 16?
13
Suppose 0 = -5*a - 4*j + 276, -44*a - 3*j - 144 = -47*a. Calculate the remainder when 657 is divided by a.
33
Let d = 194 - 102. Let o be 25 - (4 - (-24)/(-8)). Let p = o + d. What is the remainder when p is divided by 40?
36
Suppose -3*o + 3*m - 88 = -5*o, 0 = o + 3*m - 38. Let b = -46 + o. Suppose 2*s = -s + 9, b*p - 133 = 5*s. Calculate the remainder when 183 is divided by p.
35
Let t(w) = -5*w - 20. Let a be t(-5). What is the remainder when 126 is divided by ((-296)/20)/2*a/(-1)?
15
What is the remainder when 491 is divided by (16 + (-4488)/96)/(-1 + 5/8)?
81
Suppose 15 = 2*b - 4*o + o, 2*b - 5*o - 13 = 0. Suppose 10*j - 119 - 121 = 0. What is the remainder when j is divided by b?
6
Suppose -2201*o = -2228*o + 756. Calculate the remainder when 136 is divided by o.
24
Let l(b) = -29 + 27 + 10*b**2 - 8*b + 15 - b**3. What is the remainder when l(9) is divided by 2?
0
Calculate the remainder when 21887 is divided by 898/14 + (-5 - (-374)/77).
63
Let b = 127 - 87. Let j(u) = -u**3 + 6*u**2 - 9*u + 9. Let m be j(5). Calculate the remainder when b is divided by (-4)/(-2)*1/(-2)*m.
7
Suppose 0 = -2*o - 2*o + 256. Let n = o + 24. Let d = 22610 - 22600. What is the remainder when n is divided by d?
8
Let j(a) = a + 9. Let l be j(-6). Suppose r - 6 = l*x, r + x + x - 1 = 0. Suppose 29 = r*g - 10. Calculate the remainder when 23 is divided by g.
10
Suppose -40*m = -11*m - 87. Suppose y - 119 = -2*l, m*y - l - 325 = l. Let t(x) = x. What is the remainder when y is divided by t(6)?
3
Let x = 1523 - 341. What is the remainder when x is divided by 591?
0
Suppose -20 + 40 = 2*l. Let p = 603 - 379. Suppose -82 = -9*v + p. What is the remainder when v is divided by l?
4
Suppose i - 3*a + 330 = 0, 0 = 11*i - 12*i + 2*a - 332. Let c = -219 - i. What is the remainder when c is divided by 17?
15
Suppose -5*u - 144 = -3*l, -2*l - u - 83 = -166. Calculate the remainder when 389 is divided by l.
2
What is the remainder when 322 + 33/22*20/6 is divided by 78?
15
Let b(z) = 6*z - 38. Let m be b(7). Suppose 0 = -3*j + m*a + 628, 3*a + 632 = 3*j + a. Calculate the remainder when j is divided by 43.
40
Suppose -3*q - 3*o = -2418, -o = 238 - 236. Calculate the remainder when q is divided by 404.
0
Suppose -4*k + 2*j + 46 = -0*j, 5*k = j + 59. Suppose k*u - 56 = 4*u. Suppose -g + 1 = -1. Calculate the remainder when u is divided by g.
1
Suppose 3*d = 18, 27*t - 5*d = 32*t - 120. What is the remainder when 42 is divided by t?
6
Let h(a) = 34503*a**2 + 10*a + 10. Calculate the remainder when h(-1) is divided by 335.
333
Calculate the remainder when (28/(5 + -12))/((-1)/401) is divided by 15.
14
Let m = -41 + 120. Suppose -4*o + 5 = -11. Calculate the remainder when m is divided by (o/3)/(8/(-840)*-7).
19
Suppose -3*d = -s + 417, 2*d + 1251 = 3*s + d. Calculate the remainder when s is divided by 55.
32
Suppose 2*i + 3*k + 8 = 0, 0*i = -i + k + 6. What is the remainder when 96 is divided by i/(-19) - 15136/(-836)?
6
Calculate the remainder when 15008/12 - (-2)/(-3) is divided by 70.
60
Let t = -18578 + 20758. What is the remainder when t is divided by 42?
38
Let s be -6 + -3 + (17 - 4). Suppose -l + 4*y + 131 = 30, -s*y = 3*l - 319. What is the remainder when l is divided by 27?
24
Let v(c) = 8*c**2 - 22*c + 19. What is the remainder when 93 is divided by v(3)?
18
Let j(c) = -19*c**3 + 33*c**3 + 8*c**2 - 4*c - 15*c**3 - 10 + 5*c. What is the remainder when 109 is divided by j(4)?
51
Suppose -20881*s + 20864*s = -187. What is the remainder when ((-65)/(-3))/(4/12) is divided by s?
10
Let k(l) = -l**3 - l**2 + 9*l + 3. Let d(x) = -3*x**3 - 3*x**2 + 19*x + 5. Let b(j) = 2*d(j) - 5*k(j). Calculate the remainder when b(-4) is divided by 11.
5
Let z = -2570 + 3459. What is the remainder when 1805 is divided by z?
27
Suppose h - 5*h = 936. Let t = h + 260. What is the remainder when 100 is divided by t?
22
Let m be (-1)/2 + (62/4 - 3). Let p be (-18)/m - (523/2 + 2). Calculate the remainder when (-3)/(-1)*p/(-15) is divided by 11.
9
Let q(v) = 723*v + 760. Let t = 8 - 1. Suppose -n + 18 = -x, 8 = t*x - 3*x. What is the remainder when q(-1) is divided by n?
17
Suppose -9 - 357 = -61*v. Let c = -6 + 16. Calculate the remainder when c is divided by v.
4
Let k = -1200 - -1292. What is the remainder when 2102 is divided by k?
78
Suppose -6*o = 25 + 11. Let x(b) = -6*b**3 + 8*b**2 - 2*b - 1. Let f be x(o). Calculate the remainder when 1/4 + (-1 - f/(-20)) is divided by 17.
11
Let l(v) = 751*v - 662. Calculate the remainder when l(7) is divided by 11.
8
Let y = -2058 - -2943. Suppose -70*p + 65*p + y = 0. What is the remainder when (-4 - -1*p) + 0 is divided by 22?
19
Let f(n) = 3*n - 79. Let m be f(24). Let k(a) = -a**3 - 5*a**2 - 4*a + 6. Calculate the remainder when k(m) is divided by 27.
24
Let t(y) = 1082 - y**2 - 1070 - 22*y + 0*y**2. Calculate the remainder when t(-21) is divided by 25.
8
Let l be (9 - -5) + ((-6)/3 - -2). Suppose 10*h = l*h - 300. Calculate the remainder when h is divided by 8.
3
Let b(x) = -x + 14. Let s be b(9). Suppose 0 = -4*z - s*r - 54, 3*z + 44 - 3 = -4*r. What is the remainder