u) = u**2 - 32*u + 250. Let m be j(20). Suppose m*y - 7*y - o = 108, 114 = 3*y + o. What is the remainder when 132 is divided by y?
21
Let s(w) = w**3 + 16*w**2 + 9*w. Let k be s(-14). Suppose -4*v = -3*t - 70 + k, 5*v + 330 = 5*t. What is the remainder when 402 is divided by t?
62
Suppose -3*q + 6*q - 100 = -5*l, 5*q = -2*l + 40. Suppose 14*h - 2*h = -3048. What is the remainder when (13/4 - 3) + h/(-8) is divided by l?
12
Suppose 0 = -5*h + 324 - 314. Let w = 4 - -16. Calculate the remainder when ((-100)/(-8) + -6)*h*3 is divided by w.
19
Let f(u) = 525*u - 4013. Calculate the remainder when f(15) is divided by 23.
21
Calculate the remainder when 894 is divided by (-1)/(38/1121*(-3 - (-44)/16)).
68
Let v(w) = -w**3 + 4*w**2 - w - 19. Suppose 4*m + 40 = 28. What is the remainder when 278 is divided by v(m)?
43
What is the remainder when 1566136/1560 - (-1)/15 is divided by 47?
17
Let s(w) be the first derivative of 1/3*w**3 + 19*w + 10 - 8*w**2. Calculate the remainder when 71 is divided by s(16).
14
Let g = -5916 - -7012. What is the remainder when g is divided by 22?
18
Let w(z) = 18*z + 497. Calculate the remainder when 1824 is divided by w(-26).
26
Let t(i) = 2*i**3 - 10*i**2 - 14*i + 87. What is the remainder when t(8) is divided by 50?
9
Suppose 22*m - 20*m + 250 = 0. Calculate the remainder when 114 is divided by (m/15 + -5)*(3 + -6).
34
Let m = 9046 - 6769. Calculate the remainder when m is divided by 24.
21
Let n(i) = i + 21. Let r = -94 + 106. Suppose 14 = 4*c - 2*q, -2*c - 2*q - 8 = -6*q. What is the remainder when n(r) is divided by c?
3
Suppose 70801*x - 70807*x + 6 = 0. Calculate the remainder when -1 + 17 + -1 + 3 is divided by x.
0
Let z be ((-3)/(-9)*-21)/(1/1). Let j(s) = 4*s**2 + 24*s + 19. Suppose 3*k - 2*k = 12. Calculate the remainder when j(z) is divided by k.
11
Let q(t) = -t**2 + 11*t - 5. Let c be q(9). Suppose -5*p + 148 = -4*u, -2*p + c = 4*u - 35. Calculate the remainder when (-1)/(3 - 4)*p is divided by 11.
6
What is the remainder when 10919 is divided by (-5232)/(-78) + 459/117 + 4*-1?
65
Let j = -28 - -55. Suppose u + 112 = 2*u - 5*q, 0 = -3*q + 12. What is the remainder when u is divided by j?
24
Suppose -7*h - 88 = -102. Suppose 242 = 3*b - 2*d, -h*b - d = 3*b - 412. What is the remainder when b is divided by 29?
24
Let n(f) = f**3 + 17*f**2 - 20*f - 11. Let d(m) = 47*m**2. Let o be d(-1). Let b = o - 33. What is the remainder when n(-18) is divided by b?
11
Suppose 0 = 2*o + 15 + 5. Let f(s) = 2*s**3 + 122*s**2 - 3*s - 154. What is the remainder when f(-61) is divided by (32/o)/((-2)/5)?
5
Let p(v) = -v**3 + 4*v**2 + 4. Suppose 0 = -0*c + c - 3. Suppose -14*q + 12*q + 4 = 5*a, q + 5 = -6*a. Calculate the remainder when p(c) is divided by q.
6
Calculate the remainder when 104 is divided by (-306)/(-255)*10/6*1 + 1.
2
Let u(q) = q**2 - 12*q + 7. Suppose -4*b = f + 12, -b + 3*b + 24 = 4*f. What is the remainder when u(14) is divided by 2*8 + (f - 1)?
16
Let s(t) = 9*t**2 + 39*t + 10. Let i be s(-6). Let b = -61 + i. What is the remainder when 42 is divided by b?
3
Let l(y) = -7*y**3 + 6*y + 5. Let v be l(-1). What is the remainder when 50 is divided by 1/(v/68) + 3/(-9)?
6
Let u = -5 - -7. Suppose -u*f + 22 = -12. Suppose 174 = 4*a - 3*w - 102, 5*a = -5*w + 310. What is the remainder when a is divided by f?
15
Let y = 43 - 38. Let u(c) = -21 + 3*c**2 - 17*c - y*c**2 + 10. What is the remainder when 32 is divided by u(-7)?
2
Let m = 3490 + -2687. Calculate the remainder when m is divided by 33.
11
Let v be 6/(-15) - 28/(-20). Suppose 3*a + 186 = 5*q, -16*q + 18*q - 81 = -a. What is the remainder when q is divided by -3 - v/((-2)/50)?
17
Let x(n) = -26*n**3 - n**2 - 36*n - 57. Calculate the remainder when 18393 is divided by x(-2).
216
Let t(d) be the second derivative of -d**5/20 + 11*d**4/6 + 14*d**3/3 - 9*d**2 + 3*d - 6. What is the remainder when t(23) is divided by 25?
22
Calculate the remainder when (-216)/(-20)*(1 - (-18 + 4)) is divided by 65.
32
Let h(y) = 5*y**2 - 39*y - 14. Calculate the remainder when h(13) is divided by 89.
57
Let f be -1 - (-7)/5 - 9982/155. Let m = f - -69. Suppose k = 5*x - 49, 2*x - m*x + k + 31 = 0. Calculate the remainder when x is divided by 6.
3
Let c = -106 + 106. Suppose -38*w + 1610 + 632 = c. Calculate the remainder when w is divided by 2.
1
Suppose s = 4*z + 637 - 137, -3*z = 5*s - 2569. Calculate the remainder when 535 is divided by s.
23
Let g = 515 - 516. What is the remainder when ((-102)/3 + 4 - -4)*g is divided by 8?
2
Let v(t) = -4*t + 69. Let n be v(18). Let f(h) = -2*h**3 - h**2 + 7*h - 4. Calculate the remainder when 112 is divided by f(n).
12
Let c be (4 + -4 - (0 - 3)) + -2. Suppose -1 = 3*o + 2. What is the remainder when (o + -80 + 3)/((-2)/c) is divided by 14?
11
Let d = -108 - -181. Suppose 20 = m - 5*k, 5*m + 117*k = 115*k + 19. What is the remainder when d is divided by m?
3
Suppose 13*h + 85 = 579. Suppose -120 = -5*m + 620. Calculate the remainder when m is divided by h.
34
Let l = -254 - -246. Let m(w) = -2*w**3 - 15*w**2 + 5*w - 2. Calculate the remainder when 41 is divided by m(l).
19
Let u = -11364 + 11809. What is the remainder when u is divided by 45?
40
Suppose -836 = -2*u + 3*h + 323, 2*u - 1131 = -h. What is the remainder when u is divided by 188?
5
Suppose -c + 11*r - 6*r = 26, -2*r = c - 2. What is the remainder when 200 is divided by (c/(-5))/(15/150)?
8
Suppose -103 - 64 = -5*y - o, -y - o + 31 = 0. What is the remainder when y is divided by ((-2)/(-16) - 5/8)*-16?
2
Let w be (-29)/(-9) - -7*(-14)/441. Calculate the remainder when 209 is divided by 1/4*w - 285/(-20).
14
Suppose 4*l - 43 = -5*j, 6 = 2*j - 0*l - 4*l. What is the remainder when (6 - j)*1*-67 is divided by 4?
3
Let w(h) = 12*h**2 + 98*h - 284. What is the remainder when 718 is divided by w(-11)?
88
Let b be (-3)/(-2)*(-2)/(-3). Let r(a) = 3*a**3 + 2*a**2 - 1. Let d be r(b). What is the remainder when (-11493)/(-135) - d/30 is divided by 43?
42
What is the remainder when (-110)/(-66) + 25/(-30)*(-3756)/30 is divided by 20?
6
Let d be 93 + -1*4/(-4). Let j be 640/(-70) + 9 + 1146/(-14). Let i = d + j. What is the remainder when 45 is divided by i?
9
Suppose -31064 - 1136 = -92*r. What is the remainder when r is divided by 3/6 + 252/8?
30
Suppose 4*r - 4*h - 145 = -h, 5*h = -15. What is the remainder when ((-2)/(-8)*2 + -1)*(-626 - 50) is divided by r?
32
Let x(y) = -y**3 - 7*y**2 - 18*y - 19. Let z be x(-6). Calculate the remainder when (5 + -17 + -8)/((-2)/z) is divided by 14.
12
Let g(i) = -3*i + 16. Let v be g(-4). Calculate the remainder when 53 is divided by (-3)/6*21*v/(-21).
11
Suppose -42 = -9*c + 3*c. Suppose c*s - 38 = 5*s. What is the remainder when (-4)/(-6) - (-188)/6 is divided by s?
13
Let h(a) = 15*a**3 - a**2 + 247*a - 245. Suppose 175 = 4*t - 3*b - 2*b, -2*t + 3*b = -89. What is the remainder when t - (0 + -2 + 0) is divided by h(1)?
10
Let h(q) = 2*q**3 - 12*q**2 - q - 177. What is the remainder when h(10) is divided by 68?
1
Let w be 58*2/((-8)/6). Let p = w - 111. Let b = -130 - p. What is the remainder when b is divided by 14?
12
Suppose 4*s - s + 5*b - 134 = 0, s - 2*b = 41. Suppose x + g = 297, x - 4*g - 88 = 214. Let q = -295 + x. What is the remainder when s is divided by q?
1
Suppose -37 = -5*x + 114*f - 117*f, 2*x + 5*f - 11 = 0. Calculate the remainder when 1142 is divided by x.
6
Let f(b) be the third derivative of 0*b - 51*b**2 + 0 - 11/6*b**3 + 2/15*b**5 + 0*b**4 - 1/120*b**6. Calculate the remainder when 113 is divided by f(7).
37
Let a(y) = y**3 + 88*y**2 - 86*y + 564. Calculate the remainder when a(-89) is divided by 110.
77
Let v(g) = -3*g**3 - 48*g**2 - 46*g + 93. What is the remainder when 172 is divided by v(-15)?
64
Let h(u) = u + 2. Let b = 85 + -77. Let v be h(b). Suppose 6*q + 508 = v*q. Calculate the remainder when q is divided by 16.
15
Suppose x + 3*g + 15 = 0, -2*x + 3*g = 4*g + 15. What is the remainder when 461 is divided by -1 - ((-10)/15*x + -16)?
10
Calculate the remainder when 3383 is divided by 106/(6 - (-10)/(-2)*1).
97
Let m = 548 - 7. Let h = 959 - m. Calculate the remainder when h is divided by 15.
13
Let b = 78 + 73. Let u = 166 - b. Calculate the remainder when 89 is divided by u.
14
Suppose 4*k - 3*z = -0*z - 21,