 3*k**2 + 4*k - 2. What is the remainder when 110 is divided by r(q)?
36
Suppose 2*v + 2*m = -36 - 178, -95 = v - 5*m. What is the remainder when 12 - (270/v + 4/7) is divided by 8?
6
Suppose 5*s - 4 + 14 = -5*y, 2*y - 4*s - 26 = 0. Suppose y*g = -g + 84. Let p = -3173 + 3213. Calculate the remainder when p is divided by g.
19
Calculate the remainder when 967 is divided by 3 + (44/30*21)/((-3)/(-30)).
34
Let t(n) = -2*n**3 - 4*n**2 - 5*n + 6. What is the remainder when t(-5) is divided by (41 - 553/14)*(-148)/(-6)?
33
Suppose 95*b = 93*b - 90. Let y = b - -47. Suppose -4*s = y*s - 456. What is the remainder when s is divided by 39?
37
Let r be -2*(-7)/8 + 1/4. Suppose j = -5*d - 8 - 3, 4*d - r = -2*j. Calculate the remainder when 18 is divided by j - (-6)/9*-3.
4
Let a(j) = j**3 + 24*j**2 - 85*j + 11. Calculate the remainder when 1439 is divided by a(-27).
11
Let d(p) = -7*p + 67. Calculate the remainder when d(-1) is divided by 19.
17
Let m = 1887 + -1869. Let k be (1 + 56)/((-5)/55). What is the remainder when k/(-5) - (-4)/(-10) is divided by m?
17
Suppose -2*c + 4*m + 2 + 20 = 0, -c + 19 = -4*m. Let j(q) = 8*q - 3 - 2 - 3. Calculate the remainder when 125 is divided by j(c).
13
Let q(p) = -3*p**2 - 60*p - 256. What is the remainder when 927 is divided by q(-12)?
31
Suppose -2*m - 5 = s, -3*s - 7 = 4*m + 8. Suppose 12 = 3*h, -4*h + 109 - 4 = t. Calculate the remainder when t is divided by (-5)/(-15) - (m - (-52)/(-6)).
8
Let j(c) = c**3 - 4*c**2 - 23*c + 103. What is the remainder when 138 is divided by j(6)?
27
Let q(b) = -3*b**3 - 73*b**2 - 27*b - 27. Calculate the remainder when q(-24) is divided by 15.
0
Let d be 18*(46/161)/((-6)/(-14)). Suppose -44 = -d*b + 88. Suppose o - 77 = -12. What is the remainder when o is divided by b?
10
Let s(z) = -z**2 - 11*z - 22. Let d be (-6)/(-8) + (-2056)/(-32). Suppose -d + 60 = t. What is the remainder when 12 is divided by s(t)?
4
Suppose -36*x - 103 = -4*m - 37*x, 5*x = -5*m + 125. Calculate the remainder when 412/6*18/12 is divided by m.
25
Suppose 9 = 3*l - s + 2*s, -3*l + 2*s = 0. Suppose q - 335 = -3*f, -3*q - l*f = -6*f - 1044. Let g = q + -166. What is the remainder when g is divided by 18?
16
Suppose 0 = 2*z - 6742 + 6364. What is the remainder when 509 is divided by z?
131
Let o be 11/((-165)/(-10)) - 80/(-6). Suppose 3*l - 3*f = 528, 12*l + 340 = o*l + 2*f. What is the remainder when l is divided by 35?
33
Let n be 30/1 - (2 + -3). Suppose 0 = -3*x + n + 41. Let u(h) = -h**2 + 133*h + 4438. What is the remainder when u(-27) is divided by x?
22
Suppose 5 + 7 = 4*b. Let y(v) = 0*v**2 - b - v**2 + 13*v - 7*v. What is the remainder when 8 is divided by y(5)?
0
Suppose q = -19*m + 14*m + 1935, 2*q + 5*m - 3850 = 0. What is the remainder when q is divided by 101?
97
Suppose 2*l - 24 = -2*l. Let u = l + 2. Suppose -2*q - 27 = -5*z, 0 = 2*q + 4 - 2. Calculate the remainder when u is divided by z.
3
Let x(z) = z + 9. Let t be x(-7). Suppose 3*a = t*m + 47, 4*m + 4*a + 34 = -30. Let d(i) = -i**2 - 21*i - 9. Calculate the remainder when 55 is divided by d(m).
26
Let z = 394 - 396. Calculate the remainder when z + -2 + 117 + -7 is divided by 55.
51
Let i be 70/(-5)*13/2. Calculate the remainder when 152 is divided by (-5 - i/14)/((-2)/(-68)).
50
Suppose -5*y + 0*a = 2*a + 1870, a + 748 = -2*y. Let g = y - -459. Calculate the remainder when 847 is divided by g.
82
Suppose -134*v = -65*v - 5589. Calculate the remainder when 11095 is divided by v.
79
Let j(t) be the second derivative of 17*t**3/6 - 7*t**2 + 70*t. Calculate the remainder when 17 is divided by j(1).
2
Let z(u) = u**2 - 15*u - 658. Suppose -10 = -4*f - 5*i + 285, -3*f + 4*i + 198 = 0. Calculate the remainder when z(-22) is divided by f.
16
Let o(c) = -4*c**3 - 58*c**2 - 30*c - 6. Let x be o(-14). Let v = 34 + x. What is the remainder when v is divided by 30?
26
Let i(z) = 19*z**3 + 6*z**2 - 5*z + 1. Suppose 3 = 5*y + 2*a - 9, -y + a + 1 = 0. Let s be (-1)/(3 + (-7)/y). What is the remainder when i(s) is divided by 34?
31
Let t(w) = w**3 - 5*w**2 + 7*w - 3. Let i be (0 - (0 - -4))*-1. Let x = 6 + 11. What is the remainder when x is divided by t(i)?
8
Let s(y) = y**2 + 3*y - 25. Calculate the remainder when 88 is divided by s(6).
1
Suppose 9*f - 5*f - 148 = -4*h, -2*f - 126 = -3*h. Let z(a) = -a**3 + 21*a**2 - 63*a + 7. What is the remainder when z(17) is divided by h?
12
Suppose 21*t = 173 + 1150. Suppose -120*l = -123*l + t. What is the remainder when 79 is divided by l?
16
Let y(o) = 12*o + 2. Suppose -3*i = v + 4 - 5, -3*i - 2*v + 2 = 0. Suppose i = t - 3*h - 7, t - 1 = -h + 22. What is the remainder when y(6) is divided by t?
17
Let j = 55 - 26. Suppose 107 = 8*w - j. What is the remainder when w is divided by 6?
5
Suppose 5*y = -2*i + 3192, 556*y - 3*i + 1917 = 559*y. What is the remainder when y is divided by 638?
0
Suppose -4 - 1 = -y. Let o(w) = 12*w - 29. Let r be o(3). What is the remainder when r - 36/6 - -13 is divided by y?
4
Suppose -10041*v = -10043*v + 326. What is the remainder when 489 is divided by v?
0
Let u be 508/(-12) + (-2)/(-6). Suppose 0 = 6*z - 0*z - 276. Let h = u + z. Calculate the remainder when h is divided by 3.
1
Suppose 2*o = 2*v + 2, 4*o - 9 = o - 3*v. Calculate the remainder when 752/14 - 14/(-49) is divided by 201*o/14 + (-4)/(-14).
25
Let g be (-15)/(-35) - 155/35. What is the remainder when 295/3 - (-2)/(-6) is divided by (-6)/2 + (g - -27)?
18
Suppose 3*o + 14 = 2*j + 6*o, -14 = -3*j - o. Suppose l - 16 = a, 25 = -j*l + 3*a + 88. What is the remainder when 179 is divided by l?
14
Let d(p) = 1 - 16*p**2 + 17*p**2 - 5*p - 3. Let r(f) = -2*f**2 + 9*f + 4. Let n(v) = -5*d(v) - 2*r(v). What is the remainder when 21 is divided by n(6)?
5
Let n be 44/(-1 + 3 - (-2 - -3)). Let v = 89 - n. Suppose -3*b = 5*p - v, 2*b - 3*b - 25 = -5*p. What is the remainder when 22 is divided by p?
4
Let f = -402 + 587. Let b(a) = -a**3 - 7*a**2 - 8*a - 24. Let s be b(-7). Suppose s = 3*q - 61. What is the remainder when f is divided by q?
30
Suppose 144 = 5*d + 2*k, 3*d - k = 2*d + 33. Suppose d*u = 25*u + 210. What is the remainder when u is divided by (44/(-6))/(2/(-3))?
9
Let r(m) = 31*m - 1521. Let k be r(49). Let i(c) = -c**2 - 5*c - 6. Let o be i(-4). Calculate the remainder when 124/(-8)*o + k - 1 is divided by 5.
3
Let n = 5 - -3. Suppose -4*r - 4 = 0, 75 = 3*v + v + 5*r. Calculate the remainder when v is divided by n.
4
Suppose -207*z - 4*t = -212*z + 316, 0 = 4*z + 2*t - 258. What is the remainder when 2943 is divided by z?
63
Let v(t) = -t**3 - 5*t**2 - 3*t + 4. Let h be v(-4). Let j(s) = -2*s - 21. What is the remainder when (h - 1)*7*-2 is divided by j(-15)?
5
Let p(f) be the third derivative of f**5/60 + 9*f**4/8 + 29*f**3/3 - 7*f**2 - 4*f. Calculate the remainder when 85 is divided by p(-25).
5
Let t(o) be the third derivative of o**6/120 + o**5/20 - o**3/6 + 4*o**2. Let r(n) = -n**2 - 28*n - 102. What is the remainder when t(2) is divided by r(-5)?
6
Let r be (-501)/(-39) + -1 + (-8)/(-52). Suppose 2*h - r = -2. Suppose -7*a + 2*a = -5*w - 90, -2*a + 5*w = -27. Calculate the remainder when a is divided by h.
1
Let t = -36 + -135. Let q = -100 - t. What is the remainder when q is divided by 19?
14
Let l(m) = m**2 + 21*m + 92. Let v be l(-6). Suppose 2*w - 5*w + 57 = -v*y, 4*y + 63 = 3*w. Calculate the remainder when 388 is divided by w.
14
Let u = 5766 + -5755. Calculate the remainder when 184 is divided by u.
8
Let h be 6/(-5)*(-290)/6. Suppose 8*j - u = 10*j - 37, 2*u = -3*j + h. Let s = 125 + -46. What is the remainder when s is divided by j?
15
Suppose -3*s = 12, -3*d + 5*s + 0*s + 32 = 0. Let o be 5 - 10 - (-381)/3. Let f = o - 118. What is the remainder when f is divided by d?
0
What is the remainder when (1 - 3/(-2))*((-19968)/(-80) - 4) is divided by 125?
114
Let t be 979 + 10*(-7)/(-14). Suppose -12*q - 1312 = -4*r - 7*q, -3*q = 3*r - t. What is the remainder when r is divided by 11?
9
Let k = 263 + -259. Suppose -9*d - 15 = -k*d, d - 8 = -g. What is the remainder when 30/4*(-4)/(-2) is divided by g?
4
Let w be 57/(-38) - 77/(-2). Calculate the remainder when 103 is divided by 6/(5 + -11) + w.
31
Let k(n) = 55*n + 27. Let q(u) = 37*u + 18. Let c(i) = -5*k(i) + 7*q(i). Suppose -90*g = -44*g - 1104.