 = -v**3 + 18*v**2 - 13*v + 23. Suppose -66*q + 4776 + 7962 = 0. Calculate the remainder when q is divided by d(17).
11
Let g = -12056 - -12063. Calculate the remainder when 11351 is divided by g.
4
Calculate the remainder when 0 + 20860/77 + (16/(-44))/(-4) is divided by 51.
16
Let n = -270 + 401. Suppose 2*y - 85 = -5*u, 3*y + 85 = u + 119. Calculate the remainder when n is divided by u.
10
Suppose -4*b + 35*q + 126 = 38*q, 0 = 4*q + 8. Calculate the remainder when 362 is divided by b.
32
Let m(v) = -2083*v + 10656. Calculate the remainder when 4800 is divided by m(5).
221
Calculate the remainder when 5*11/165*-9*1390/(-6) is divided by 88.
79
Let s be (1 + 18/(-4))/(1/(-14)). Suppose -7 = -7*h + s. What is the remainder when 93 is divided by h?
5
Let q(u) be the third derivative of -u**4/8 - 7*u**3 + 7*u**2 - 1. Calculate the remainder when q(-22) is divided by 11.
2
Let p = 1986 - 1897. What is the remainder when p is divided by 23?
20
Let w(f) = 65*f - 1310. Suppose 58 + 70 = 4*j. Calculate the remainder when w(21) is divided by j.
23
Let q = 286 + -181. Suppose 3*a - 2*c = q, 4*a + a - c - 182 = 0. What is the remainder when a is divided by 22?
15
Suppose -4*n - u = 10, 2*n = -2*u + 4*u. Let p(v) = -100*v + 1. Let m be p(n). Suppose -c + 4*c = m. What is the remainder when c is divided by 34?
33
Suppose 25 = 10*c - 5*c. Suppose c*f + 3 = -17, -4*f + 160 = s. Let u = s - 101. What is the remainder when u is divided by 20?
15
Let s(h) = h**2 + 11*h - 83. Let q be s(-20). Suppose 0 = 35*m - 34*m - q. Calculate the remainder when m is divided by 27.
16
Suppose -t + 434 = 4*y, -828 = -2*t + 147*y - 145*y. Calculate the remainder when t is divided by 102.
10
Let n be ((-90)/25 - -7)/(2/190). Let b = 360 - n. Calculate the remainder when b is divided by 10.
7
Suppose 0*l = 2*l + 5*z - 17, -4*l + 7 = z. Suppose 0 = -5*w - 5*m + 95, -2*m - 38 = -2*w + m. Calculate the remainder when -3 - l/2*(-192)/1 is divided by w.
17
What is the remainder when (-4496 + -4)/(-18)*(-1)/(2 - 4) is divided by 34?
23
Let y = -840 + 2615. Calculate the remainder when y is divided by 177.
5
Let h be 7/((-14)/(-300))*(0 - 2). Let g = -236 - h. What is the remainder when 255 is divided by g?
63
Let j(d) = -d**3 + 10*d + 12. Let s be j(-6). Let p = s + -164. What is the remainder when 69 is divided by p?
1
Let o(f) be the third derivative of f**5/60 - 29*f**4/24 - 21*f**3/2 - 25*f**2 - 2*f. What is the remainder when o(32) is divided by 5?
3
Suppose -f - 35*a + 36*a + 64 = 0, 3*a = -15. Calculate the remainder when 135 is divided by f.
17
Let q = -1280 - -1421. Calculate the remainder when q is divided by 36.
33
Suppose 0 = 821*f + 359992 - 2073419. Calculate the remainder when f is divided by 115.
17
Suppose -24*q + 16*q + 216 = 0. Suppose -24*z = -q*z + 201. What is the remainder when z is divided by 10?
7
Let p = 23293 - 22793. Calculate the remainder when p is divided by 88.
60
Suppose -130*n + 69120 = -23050. Calculate the remainder when n is divided by 20.
9
Let k be (8/(-6) - -2)/((-18)/(-6507)). Suppose k + 444 = 5*d. Let z = d + -79. Calculate the remainder when z is divided by 31.
27
Suppose -4*j - 3*i + 123 = -53, 16 = 4*i. Let k(y) = -y**3 + 6*y**2 - 4*y. Let f = -8 + 11. What is the remainder when j is divided by k(f)?
11
Let y = 43 + -24. Let g = 21 + -22. Let p(w) = -41*w - 4. What is the remainder when p(g) is divided by y?
18
Suppose 6*l - 3 - 3 = 0. Let r(w) = 0 - 23*w + 1 + l. What is the remainder when 48 is divided by r(-1)?
23
Let p(s) = -17*s - 969. What is the remainder when 1291 is divided by p(-61)?
67
Calculate the remainder when 2084/(-24)*(-2256)/94 is divided by 14.
12
Let x(v) = -7*v - 153. Let u be x(-23). Let z(s) = s**2 - 9*s + 48. Calculate the remainder when 117 is divided by z(u).
37
Let d(t) = -t**2 - 12*t - 19. Let g be d(-11). Let k = 14 - g. What is the remainder when k is divided by (-1)/(-1) + 77/7?
10
Let j = -143 + 96. Let q = 103 + j. Let x = -2189 + 2209. What is the remainder when q is divided by x?
16
Suppose i - 2*p - 35 = 0, 0 = i - 0*i - p - 31. Let h = 1354 + -719. Suppose 565 = -5*x + h. What is the remainder when i is divided by x?
13
Suppose 4152 - 2635 = 30*j - 6703. What is the remainder when 405 is divided by j?
131
Let r = -183 - -278. Let n = r + -93. Suppose 0*k - 19 = -k + 5*v, -28 = -4*k - 4*v. What is the remainder when k is divided by n?
1
Suppose 10212 = 187*m + 89*m. Let y(u) = -20*u - 1. Calculate the remainder when m is divided by y(-1).
18
What is the remainder when 635 is divided by (6/9)/((27858/2142 - 1) + -12)?
40
What is the remainder when (-7)/(7/(-1992)) + (-1 - (-14)/(-14)) is divided by 83?
81
Let f(u) = -5272*u + 36950. What is the remainder when 754/6 + 6/(-9) is divided by f(7)?
33
Let r be (-234)/26 - (-1 - 1). What is the remainder when -8 + 644 + r - 9 is divided by 89?
86
Suppose -5*p - g = -1902, 0 = -3*g + 2 + 19. Calculate the remainder when p is divided by 201.
178
Let l(y) = -y**2 + 19. Let s be l(-3). Let i = 9 + -2. Calculate the remainder when i is divided by (-20)/(-5)*((-45)/s)/(-3).
1
Calculate the remainder when 193 is divided by (-648)/(-16) - (-12)/(-24).
33
Let g(r) be the second derivative of -9*r**5/20 - r**3/2 - r**2 + 4*r - 2. What is the remainder when g(-2) is divided by 28?
20
Suppose 2*a - p = -9, -5*a + 5*p - 2*p - 25 = 0. Let v = a + 7. Calculate the remainder when v is divided by 3.
2
Suppose 2*f + j - 164 - 144 = 0, -j = -2*f + 300. Calculate the remainder when 20670 is divided by f.
150
Suppose 14*r - 83*r + 4699 = 58*r. What is the remainder when 230 is divided by r?
8
Let r = 711 + -1083. Let z = 401 + r. Let o(d) = 2*d. What is the remainder when z is divided by o(2)?
1
Let n = -3018 - -3047. Calculate the remainder when 542 is divided by n.
20
Let z(p) = -13*p - 39. Let i(d) = -4. Let g(t) = -2*i(t) + z(t). Calculate the remainder when g(-8) is divided by 46.
27
Let h = 331 + -205. Suppose -23*z = -55*z - 62*z - 1786. Let t = h + z. Calculate the remainder when t is divided by 18.
17
Let n be 92/(-138) + (-13)/3. What is the remainder when ((-18)/n)/(12/760) is divided by 46?
44
Let g(t) = -t**3 - 12*t**2 - 33*t + 6. Calculate the remainder when g(-12) is divided by 67.
0
Let y(o) = -8*o - 11. Let p be y(-2). Suppose 788 = -h + p*h. Calculate the remainder when h is divided by 17.
10
Let q = 32 - 29. Let t be (q/6)/((-13)/(-14) - 1). Let z = t - -11. Calculate the remainder when 4 is divided by z.
0
Suppose -57*k - 4 = -59*k. Suppose -5*g = -6*g + 2. Calculate the remainder when k is divided by g.
0
Suppose -l + 257 - 33 = 0. Suppose 237*r = l*r + 429. Calculate the remainder when 227 is divided by r.
29
What is the remainder when 34902/81 + (7/9)/7 is divided by 27?
26
Let x(w) = 20 - 54*w + 9*w**2 + w**3 - 59*w + 118*w. Let s(r) = -r - 1. Let q be s(7). What is the remainder when 131 is divided by x(q)?
43
Let g(p) = -3*p + 1. Let l be g(-4). Calculate the remainder when 72 is divided by -7*(-2)/7 + l.
12
Let x(a) = a**2 - 12*a - 3. Suppose 20 = 4*g + 2*o, 0 = 5*g + 3*o + 12 - 36. Let t be x(g). Let q = -33 - t. What is the remainder when 17 is divided by q?
5
Suppose 20*g - 2680 - 3116 = -187*g. Suppose -3*v - 4*n = v - 648, -2*v = -5*n - 352. What is the remainder when v is divided by g?
26
Let i be (5/(-2))/(4/(-8)). Let x(s) = s - 4. Let m be x(i). Calculate the remainder when 117 is divided by m*(-40)/(-15)*15.
37
Suppose 1076572 = 323*j + 553*j - 1659176. Calculate the remainder when j is divided by 11.
10
Let v be (-21)/(8/3 - 3). Suppose 4*j - v = -3*p, -2*p = 5*j - 12 - 72. What is the remainder when 25 is divided by j?
7
Let v = -4595 + 5198. What is the remainder when v is divided by 167?
102
Suppose -3*k + 2882 = 2*d, 16*d - 13*d + 1943 = 2*k. Calculate the remainder when k is divided by 170.
114
Let r be (-18)/135 + (-154)/(-30). Suppose -4*o + 3*n = -559, -r - 10 = 3*n. Let a(b) = b**2 + b - 7. Calculate the remainder when o is divided by a(5).
21
Let y = 2953 - 2818. Suppose -2*m + 115 = 3*m. Calculate the remainder when y is divided by m.
20
Let k(f) = f**2 + 5*f - 6. Let j be k(-5). Let c be (-20)/(-2 - 2) - (-288)/(-36). Calculate the remainder when (j - c) + 6 + 3 + 31 is divided by 19.
18
Let n(d) = d**3 - 27*d**2 + 70*d + 69.