 - 184. Calculate the remainder when b is divided by x(0).
10
Suppose w - 4 = 2*j, 82 = 5*w + 3*j + 10. What is the remainder when 82 is divided by w?
10
Suppose -2*t + 4*g + 28 = 0, -3*g + 8 - 2 = 3*t. Let i(d) = d**3 - 7*d**2 + 9*d - 8. What is the remainder when 27 is divided by i(t)?
7
Let z(l) = -4*l - 5. Let b be z(-2). Suppose -b*c = -3 - 51. What is the remainder when (-435)/(-6)*((-84)/(-20) - 3) is divided by c?
15
What is the remainder when (-1)/(-3) + -2*5126/(-33) is divided by 15?
11
Let p(v) = -v**3 - 3*v**2 - 4*v. Let l be p(-3). Let s = -4 + 11. Calculate the remainder when (8/(-4) - -3) + l is divided by s.
6
Let x = -82 - -84. Suppose -3*j + 440 = 3*t + 101, 3*j - 3*t - 345 = 0. Suppose -8*h + x*h + j = 0. What is the remainder when h is divided by 5?
4
Let i(l) = l**3 - 6*l**2 - l - 4. Calculate the remainder when 110 is divided by i(7).
34
Suppose 2*i + 2 = 4*i. Suppose 4*s - 31 = -o + 3, o = -2*s + 40. What is the remainder when o is divided by (-8)/(4/(-8)*i)?
14
Suppose 3*c + 42 = 4*z + 5*c, -2*c = -2*z + 24. Suppose 5*i + 26 = 5*o - 384, 3*o - i = 252. What is the remainder when o is divided by z?
8
Suppose 2*h - 7 - 1 = -2*l, l = 5*h + 4. Suppose 0 = -0*k + 3*k - 21. What is the remainder when k is divided by (6 + -4 - -2) + 1 + h?
2
Suppose 0 = 3*g + g. What is the remainder when ((-266)/(-19))/(g - -1) is divided by 8?
6
Suppose 0 = 6*k - 0*k - 714. Let h = 60 - 20. What is the remainder when k is divided by h?
39
Let k(z) = 7*z**2 + 8*z. Let b be k(6). Suppose -3*u = 7*x - 2*x - 260, 5*x - 5*u = b. What is the remainder when x is divided by 29?
26
Let j be (136/(-6))/(2/(-3)). Suppose 5*f + 29 - 144 = 0. Let r = j - f. What is the remainder when 53 is divided by r?
9
Suppose 0 = x - 4, -7 = z - 3*x - x. Calculate the remainder when 132 is divided by z.
6
Suppose 10*f = 216 + 574. What is the remainder when 314 is divided by f?
77
Let f(k) be the second derivative of -k**4/12 + 7*k**2 - 2*k. Let a = -832 + 840. Calculate the remainder when f(0) is divided by a.
6
Suppose 0*i - 2*i - 14 = 0. Let c(x) = 16*x - 261. What is the remainder when c(21) is divided by 2/i + (-135)/(-7)?
18
Let z be 3 - (9*-6 - -4). Let q = -17 + z. Calculate the remainder when 143 is divided by q.
35
Let w(z) be the first derivative of -z**4/4 - 2*z**3/3 - 3*z**2/2 - 10. What is the remainder when 51 is divided by w(-3)?
15
Let s = 42 + 23. Suppose 0*u - 150 = -5*c - 4*u, 2*u - 92 = -3*c. Calculate the remainder when s is divided by c.
31
Suppose s + 5 = 0, 3*x - 67 = -0*x - 4*s. Suppose x = 4*j - 115. Let u = j + -25. Calculate the remainder when 19 is divided by u.
8
Let y = -15 - 1. Let g be (-17)/((y/(-12))/4). Let v = g - -75. Calculate the remainder when 69 is divided by v.
21
Let t = -202 + 133. Let q = t + 113. Calculate the remainder when q is divided by 12.
8
Suppose 2*q - 1 - 3 = 0. Let f = 57 - q. What is the remainder when f is divided by 7?
6
Let b = 45 + -99. Let j = b - -73. Calculate the remainder when j is divided by 5.
4
Suppose 2*z = o + 1383, 0*o = 2*z + o - 1385. Calculate the remainder when z is divided by 99.
98
Suppose -51*n + 46*n + 4*j + 675 = 0, 5*j = -5*n + 720. What is the remainder when 538 is divided by n?
121
Suppose 2*r = 4*r + 12. Let m(p) be the first derivative of p**3 + 5*p**2 + 9*p - 9. Calculate the remainder when m(r) is divided by 15.
12
What is the remainder when (2 + 20/(-6))/(6/(-1359)) is divided by 78?
68
Calculate the remainder when -5 + -2 + 6 - (-4 + -376) is divided by 48.
43
Let v(i) = 32*i**2 - 21*i + 5. Calculate the remainder when v(2) is divided by 44.
3
Let y be 0/(-5 - (-3 - 0)). Suppose 0 = -y*m - m + 22. Let b = 21 - 9. Calculate the remainder when m is divided by b.
10
What is the remainder when (-328)/(-48) + -7 + (-2155)/(-6) is divided by 92?
83
Let q(i) = 2*i**3 - i**2 + 3*i - 3. Let f be q(2). Suppose -2*y + f = -9. What is the remainder when 58 is divided by y?
10
Let f = 394 - 386. What is the remainder when 47 is divided by f?
7
Let o(m) = m**3 - 2*m**2 - 5*m + 3. Let k = -105 - -105. Suppose -4*h - 70 + 418 = k. What is the remainder when h is divided by o(4)?
12
Let q(c) = 2*c**2 - 5*c - 7. Calculate the remainder when q(-5) is divided by (3/(36/56))/(2/6).
12
Let l(c) = c + 79. What is the remainder when l(-32) is divided by 1 - (-7 + 1 + 3)?
3
Let k = 2 - 8. Let p(h) = 4 - 1 - 4*h**2 + 4 - 12*h + 3*h**2. Calculate the remainder when p(k) is divided by 23.
20
Suppose 2*p + 11 = 3*r + 63, 5*p - 2*r = 108. Let h(i) = i**2 - 5*i - 7. Let x be h(6). Let g = 6 - x. What is the remainder when p is divided by g?
6
Suppose 2*q = 2*k + 108, -172 = 3*k - 3*q - 2*q. Let v = -29 - k. What is the remainder when v is divided by (-35)/(-20)*8/2?
6
Suppose 6*z = 12 - 60. Let b = -4 - z. Suppose b*h = 3*a - 11, -2*h - 22 = -5*a + h. What is the remainder when 7 is divided by a?
2
Calculate the remainder when 67 is divided by 3/(-2)*(-2050)/123.
17
Suppose 2*d + 2*z - 268 = 0, -3*d - 4*z + 143 = -262. Calculate the remainder when d is divided by 38.
17
Let p be -2 + 2 - (-1 + -3). Let q(y) = y - 10 - p*y - 9 - 3. What is the remainder when 63 is divided by q(-13)?
12
Suppose -l - g = 2*l - 61, 3*g - 12 = 0. Suppose -6*v + 127 = 49. Let m = 23 - v. Calculate the remainder when l is divided by m.
9
Let g = 268 - 186. Suppose 7*b - g + 19 = 0. Calculate the remainder when b is divided by 3.
0
Suppose -m - 5*z = -51, 0 = -m + 4*z + 9 + 33. What is the remainder when m is divided by 42?
4
Let a(h) = -4*h**3 + 6*h**2 + 8*h - 3. Let r be (-105)/(-2) + 3/(-6). Suppose -5*s + r = -s. What is the remainder when a(-2) is divided by s?
11
Let s(d) = -4*d**3 + 3*d**2 + d - 1. Suppose -13*i = -9*i. Suppose 5*x + 4*l - 109 = i, l - 1 - 21 = -x. What is the remainder when s(-2) is divided by x?
20
Suppose -3*r + 2*f + 737 = 0, -27*r - 5*f + 1220 = -22*r. Suppose 4*d + 3*l = 2*d + 71, -4*l - 112 = -4*d. What is the remainder when r is divided by d?
28
Let n be 24/(((-9)/2)/3). What is the remainder when (-772)/n + (-25)/20 is divided by 17?
13
Let t = 42 + -15. Let k be -3 - 6/(-4)*(-3008)/(-6). Suppose -3*r - 4*r + k = 0. Calculate the remainder when r is divided by t.
26
Suppose 3*t - 3*d - 141 = 0, -8*t - 5*d - 192 = -12*t. Calculate the remainder when 206 is divided by t.
34
Let h(p) be the second derivative of 4*p**3/3 - 8*p**2 - 11*p. Calculate the remainder when h(7) is divided by 14.
12
Let q = 21 - 19. Suppose 0 = -q*j + 4 + 4. Suppose 4*x = -j*p + 92, x - 5*p + 3 - 2 = 0. Calculate the remainder when 35 is divided by x.
16
What is the remainder when 129 is divided by (165/(-30))/(2/(-4))?
8
Let u(y) = -2*y**2 - 48*y - 82. Let v(j) = 2*j + 2 - 1 - 2 + 2*j**2. What is the remainder when v(-3) is divided by u(-22)?
5
Suppose 3*x = 718 - 646. Calculate the remainder when 550 is divided by x.
22
Suppose m = -2*m + 2*a + 10, -a + 5 = m. Suppose -2*u + m*u - 22 = 0. Let l = -92 - -134. What is the remainder when l is divided by u?
9
Suppose -10*r + 5*r - 4*l = -1880, 0 = 4*r - 4*l - 1468. What is the remainder when r is divided by 75?
72
Suppose 2*z - 30 = 3*q, 3*z + z - 82 = -5*q. Calculate the remainder when 161 is divided by z.
17
Suppose -71 = -3*n - q, -n + 6*n + q - 119 = 0. Suppose n*g - 20*g = 12. What is the remainder when 7 is divided by g?
1
Let r = -91 + 86. Calculate the remainder when 23 is divided by 8/(-3)*(r - (-14)/4).
3
Suppose -24*x + 26*x - 146 = -a, 4*a = 5*x - 365. What is the remainder when 144 is divided by x?
71
Suppose 3*g - 79 = -2*r, 4*g - 8 = 5*r + 59. What is the remainder when 102 is divided by g?
10
Let m = -524 - -526. What is the remainder when 45 is divided by m?
1
Suppose 16*u - 239 - 113 = 0. Calculate the remainder when 123 is divided by u.
13
Let o = 31 + -9. Calculate the remainder when (15/10)/((-668)/168 - -4) is divided by o.
19
Let r = -1306 - -1387. Calculate the remainder when r is divided by 21.
18
Suppose -4*s - s + 17 = -2*f, 0 = 5*f - 2*s + 11. Let m be ((-27)/(-45))/(f/5). What is the remainder when 564/(-2)*m/9 is divided by 19?
18
Let x(j) = j**2 - 51*j - 73. What is the remainder when x(56) is divided by 15?
12
Let x(z) = -z**2 - 1. Let o(c) = 5*c**2 + 2*c - 9. Let q(j) = -o(j) - 6*x(j). Calculate the remainder when q(13) is divided by 53.
52
