5
Let c(f) = 35*f**3 - f**2 - 2*f. Let b(y) = y. Let q(g) = 2*b(g) + c(g). Let v = -15535 + 15551. What is the remainder when q(1) is divided by v?
2
Suppose 7*l + 229 = -93. Let f = l - -48. Calculate the remainder when (-117)/(-3)*f/3 is divided by 15.
11
Let u be -8*21/(-56) - 24. Let i = u - -30. Calculate the remainder when 97 is divided by i.
7
Let n(l) = -97*l + 152. Calculate the remainder when n(-1) is divided by 41.
3
Suppose 0 = -14*r - 100 + 30. Let x be 1 + 1 - (-8)/(-4). What is the remainder when 4 + r - (-88 + x) is divided by 15?
12
Let a(y) = -5*y + 8. Let t be a(5). Let r = t - -87. Calculate the remainder when r is divided by 15.
10
Let u(r) = -r**2 + 15*r - 14. Calculate the remainder when ((-238)/6)/(-2 + (-25)/(-15)) is divided by u(6).
39
Suppose 91094 = 455*b - 45406. Suppose -n + z = -47 + 1, -2*z - 221 = -5*n. Calculate the remainder when b is divided by n.
42
Let n(x) = 4*x**3 - 107*x**2 - 26*x - 15. Calculate the remainder when 224 is divided by n(27).
8
Let f(j) = -j**3 - 16*j**2 + 5. Let i be f(-16). Suppose 4*k + i = -3. Calculate the remainder when 142 - (k + 3 - (-2 + -1)) is divided by 48.
42
Let p = -2 + 2. Suppose o + 30 - 113 = p. Suppose -2*t = 5*t + 366 - 450. Calculate the remainder when o is divided by t.
11
Let y(d) = 7*d + 4. Let g(f) = -5*f - 2. Let v be g(0). Let n be y(v). Let a = n + 16. Calculate the remainder when 10 is divided by a.
4
Let q = -10393 - -10688. What is the remainder when 523 is divided by q?
228
Let a = -130 + 134. Suppose -5*t = d - 9 - 10, a*t - 4 = 0. Calculate the remainder when d is divided by 9.
5
Suppose -44*m + 3972 - 660 = 2*m. What is the remainder when 208 is divided by m?
64
Suppose 0 = -5*q + 3*o + 715, -2*q - q - o = -443. What is the remainder when q is divided by 144?
2
Calculate the remainder when 1930/4 - (-1)/(-2) is divided by (18/(-72))/((-5)/460).
22
Let u = -33 + 33. Suppose z = -z + s + 68, u = -3*z - 2*s + 95. Calculate the remainder when z is divided by 10/(-25) + 81/15.
3
Suppose 106 = 5*r + 2*y, 12 = 177*r - 175*r - 3*y. Calculate the remainder when ((-178)/(-3))/((-3)/(-9)) is divided by r.
16
Suppose 4*j = -j - 5*u + 10, 5*u - 22 = -j. Suppose -4*x = 90 - 478. What is the remainder when x is divided by (78 - j)/3 - 2?
22
Suppose -4219 = 7*x - 1615. Let p = x + 639. Suppose 40*n = 18*n + 594. What is the remainder when p is divided by n?
24
Let g(h) = 60*h - 4. Calculate the remainder when g(11) is divided by 20/25*(15/8)/(12/752).
92
Suppose 21*h = 23*h - 10. Suppose 2*w - 4*w - 51 = -b, 4*b - 217 = -h*w. Calculate the remainder when b is divided by 1/((18/(-60))/(-3*2)).
13
Suppose -3*y = 5*v - 47, y - 3*y + v = -40. Suppose -3*c - 4*n - 75 = -350, c = -3*n + 90. What is the remainder when c is divided by y?
17
Let l(p) = -6*p - 346. What is the remainder when l(-65) is divided by 9?
8
Let k be (13/2)/((-1)/(-2)). Let l = k - -27. Calculate the remainder when l is divided by (((-19855)/57)/(-11) - 8/12) + -10.
19
Let b(m) = -5*m - 2. Let v be b(-1). Suppose 10*y + v*y - 78 = 0. Calculate the remainder when 166 is divided by 82/3 - ((-32)/(-6) - y).
26
Let r = 126 - 79. Suppose 0 = -m - 4*d + 57, 319 = 5*m + 2*d + d. Let n = m - r. What is the remainder when n is divided by 8?
2
Let t = -21997 - -22031. Calculate the remainder when 0 + (-3)/((-6)/242) is divided by t.
19
Let o be 25 - -2*(-28)/7. Let u = 105 + o. What is the remainder when u is divided by 13?
5
Suppose 451*p - 442*p = 2232. What is the remainder when 507 is divided by p?
11
Suppose -3*z + 50 = 2*k, -6*k - 2*z = -3*k - 70. Let x(y) = y**3 - 26*y**2 - 359*y + 20. Calculate the remainder when x(36) is divided by k.
12
Let m = -4985 - -10064. What is the remainder when m is divided by 11?
8
Suppose 7614 = 116*z + 10*z + 156*z. What is the remainder when 68 is divided by z?
14
Let w be (-376)/(-4)*3/(-6). Suppose 43*q - 17*q = 1378. Let l = q + w. What is the remainder when 22 is divided by l?
4
Let k = -92 + 96. Suppose 2*a + 5*p + 24 = 0, 6*a + 93 = a + k*p. Let v = a + 72. Calculate the remainder when v is divided by 21.
13
Suppose 0 = 5*k + 3*x - 226 + 34, -3*x + 114 = 3*k. Let t = 577 + -309. Calculate the remainder when t is divided by k.
34
Let i = -21901 - -22155. Calculate the remainder when 1775 is divided by i.
251
Let c = 835 + -795. Calculate the remainder when 187 is divided by c.
27
Let i(x) = x**2 - 20*x + 2. Let f(m) = m. Suppose -4 = 5*s + 5*c - 49, -c - 1 = -s. Let o(n) = s*f(n) + i(n). What is the remainder when 38 is divided by o(16)?
2
Suppose 20*n + 790 = 1050 + 6460. Calculate the remainder when n is divided by 49.
42
Suppose 0 = 3*c + 4*x - 46, -2*c - 3*x - 96 = -7*c. Let k(l) = 28*l - 3. What is the remainder when k(2) is divided by c?
17
Let m be (-1 + 155)/(7 + 564/(-84)). Let d = m + -506. Calculate the remainder when d is divided by 19.
14
Let l be 1/(2/4)*(126 - 70). What is the remainder when 4/7 - (-6544)/l is divided by 25?
9
Suppose -7*b - 43 = -57. Suppose 2*q - b = 0, -31*o + 2*q + 11 = -30*o. Calculate the remainder when 44 is divided by o.
5
Let i = -84 - -104. Let f = i + 14. Calculate the remainder when 130 is divided by f.
28
Suppose 0 = -8*i - 7 + 47. Suppose -484 = -i*l - 4*t, -3*l - 101 + 417 = -4*t. Calculate the remainder when l is divided by 17.
15
What is the remainder when 1107 is divided by (-85280)/(-615) + 2/6?
134
Suppose -19*y + 2910 = -2999. Suppose x = 4*x + 5*v - y, -4*x + v + 430 = 0. Calculate the remainder when x is divided by 27.
26
Suppose 0 = 217*f - 215442 - 218124. What is the remainder when f is divided by 25?
23
Let k(i) = -i**2 + 34*i + 5303. Calculate the remainder when 689 is divided by k(-57).
109
Let w be 1*(-16)/(-18)*(-1278)/(-284). Calculate the remainder when (-1540)/(-33)*(3 - 6/w) is divided by 24.
22
Suppose 10 = -98*v + 103*v. Suppose l = v*p - 3*l - 214, -p + l + 112 = 0. Calculate the remainder when p is divided by 17.
15
Let q(a) = -a**3 - 20*a**2 + 20*a - 17. Let b be q(-21). Suppose b*j - 200 = 8*j. Calculate the remainder when 35 is divided by j/(-5) - (-3)/1.
9
Let x = -6475 + 6547. What is the remainder when 1007 is divided by x?
71
Let m = 5676 + -5637. What is the remainder when 3587 is divided by m?
38
Let g be (2816/(-80))/(47/15 + -3). Let c = g + 269. Calculate the remainder when 10 is divided by c.
0
Suppose 0 = 9*p + 5*p - 28. Suppose 3*j = -p*j + 10. Calculate the remainder when 56 is divided by (-100)/(-8) + 1/j.
4
Calculate the remainder when (-17 + 13)/((-18)/(-30) - (-3166)/(-5210)) is divided by 58.
57
Let m(w) = 4*w - 90. Suppose -7*j = -188 - 1. What is the remainder when m(j) is divided by ((-6)/(-4))/(3/20)?
8
Suppose -46*q = -40*q - 66. Suppose 5*r + 3*n = 0, -5*n - 31 = -0*r - 2*r. What is the remainder when q*(-3 - 1)/(-4) is divided by r?
2
Let l(r) = r**2 - 4*r - 6. Let q be l(5). Let g be 18/(-6) + (q - -9). Suppose 0 = -g*a + 12 + 93. What is the remainder when 62 is divided by a?
20
Suppose -81*z - 5 + 2338 = -1798. Calculate the remainder when 398 is divided by z.
41
Let k(z) = -14 + 13220*z - 19*z**2 - 7 + z**3 - 13210*z + z**2. Calculate the remainder when k(18) is divided by 54.
51
Suppose 0 = l + 2*l - 570. Suppose -5*h + 1381 = -4*r + 33*r, 0 = -r + h + 57. Calculate the remainder when l is divided by r.
43
Suppose 3*y + 0*p + 2*p - 44 = 0, 5*p = 3*y - 58. Let d = -130 + 222. Calculate the remainder when d is divided by y.
12
Suppose 6*i = 8*i + 3*q + 114, -5*q = -3*i - 190. What is the remainder when 54 is divided by ((-96)/18 + 5)*i?
14
Let n = -17 - 78. Let t = -84 - n. What is the remainder when 84 is divided by t?
7
Let b(x) = -x**3 - 53*x**2 + 102*x + 37. What is the remainder when b(-55) is divided by 54?
45
Let t be (-7)/105*-6 - 744/10. Let z = t - -161. Let m = z + -63. What is the remainder when m is divided by 4?
0
Let b = 7462 + -3172. Calculate the remainder when b is divided by 37.
35
Suppose -40 = -5*y - 5*v, 11*v - 18 = -y + 8*v. Calculate the remainder when 3 is divided by y.
0
Suppose -y - 45 - 19 = 0. Let z = 17 + -70. Let o = z - y. Calculate the remainder when 30 is divided by o.
8
Let f(l) = 149*l**3 - l**2 + 2. Let p be f(1). What is the remainder when p/8 - (14/8 - 2) is divided by 9?
1
Suppose -122 = -4*w - 114. Calculate the remainder wh