Let d be 0*(v - 1)*-1. Suppose u + 2*o + 2 = 0, o - 2*o - 4 = d. What is the remainder when 21 is divided by u?
3
Let w(v) = -21*v - 209. What is the remainder when w(-17) is divided by 46?
10
Suppose 17 = 7*b - 4. Let r(t) = t**2 + 9*t - 7. Suppose -4*w = -a + 3*a + 42, 19 = -2*w + a. What is the remainder when r(w) is divided by b?
0
Let o(j) = 4*j**2 - 22*j - 117. Let w(n) = -n**3 - 5*n**2 + 7*n - 5. Let z be w(-6). Calculate the remainder when o(z) is divided by 61.
60
Let l = 6662 - 6632. Calculate the remainder when 103 is divided by l.
13
Let p(r) = r**3 - 5*r**2 + 2*r + 12. Let s be p(6). Suppose 3*w + s = -w. Let g = 10 - w. What is the remainder when g is divided by 7?
4
Suppose -515 = -9*c + 79. Let q = 72 - c. Let h = 16 - 14. What is the remainder when q is divided by h?
0
Let j = 54 - 23. Let o be 3/(-2)*70/(-21). Suppose -4*p + 251 = 5*q, -2*q + 289 = o*p - 4*q. What is the remainder when p is divided by j?
28
Let r be 19 + 5 + 2 + -2. Suppose 5*x + r = s, 3*s - 10 - 10 = 2*x. Let i = -3 + 30. Calculate the remainder when i is divided by s.
3
Suppose -2*t + 2*z + 8 = 0, 3*t + 5*z = -2 + 6. Let s = 166 + -25. Suppose -13*a = -s + 37. What is the remainder when a is divided by t?
2
Suppose d + 5*f = 16, 3*d - f = 11 + 5. Let r = 667 - 655. Calculate the remainder when r is divided by d.
0
Let u(n) = n**3 + 9*n**2 + 2343*n + 23579. Let q = 30 + -8. Suppose 42 + q = 4*m. What is the remainder when u(-10) is divided by m?
1
Let c = -18319 + 18488. Calculate the remainder when 426 is divided by c.
88
Let z(w) = 10*w**3 + 3*w**2 - 7*w + 4. Let l be z(2). Let i(c) = l*c + c**2 - 40*c - 38*c + 12. What is the remainder when 118 is divided by i(0)?
10
Let m = 8997 + -8928. What is the remainder when 722 is divided by m?
32
Let h(c) = -36*c - 49. Let k be h(8). Let d = 467 + k. Calculate the remainder when d is divided by 274/8 - (-1)/(-4).
28
Let u = -117 + 214. Let f = 123 + -120. Suppose -2*i = -6*i + 5*j + 31, f*i + 5*j = 32. What is the remainder when u is divided by i?
7
Let b be (-264)/(-9) - (-4)/6. Suppose 0 = 11*n + 29*n + 920. Let z = b + n. What is the remainder when 24 is divided by z?
3
Let m(t) = 16*t**2 - 81*t + 10. Let k be m(7). Suppose -106 = -9*d + k. What is the remainder when 106 is divided by d?
32
Suppose 231 = 2*o - 449. Suppose 2*m + 29 = q - 2*m, -5*q + 70 = -5*m. Calculate the remainder when 2/q - o/(-9) is divided by 14.
10
Let b be (4 - (-48)/(-20)) + 2/5. Suppose -4*d + 72 = b*d. What is the remainder when (-4)/6 + 130/6 is divided by d?
9
Suppose 2*g - 3*d = 293, 5*g + 6*d - 722 = 3*d. Let j = g - 253. Let c = -98 - j. What is the remainder when 59 is divided by c?
9
Let o(m) = -m**2 + 2*m - 1. Let d be o(-4). What is the remainder when 158 is divided by (-3 - (d + -5)) + 6?
26
Let c = 124 + -138. Let f(w) = -7*w - 80. What is the remainder when 99 is divided by f(c)?
9
Suppose -3*s - 2*y + 521 = 0, -2*s + 3*y = -4*s + 349. Suppose z + 177 - 27 = 5*d, -72 = -3*d - 3*z. What is the remainder when s is divided by d?
28
Suppose 2*h + 1 = m, h + 3*m = 5 - 2. Calculate the remainder when (-9)/(h - 9) - -945 is divided by 13.
10
Let y(g) = 20*g - 1034. What is the remainder when 293 is divided by y(54)?
17
Let w be ((-9)/15)/((-3)/45) + -1. Suppose w = 18*d - 16*d. Suppose 2*n + 2*i = -2*i + 86, -5*n + d*i + 215 = 0. What is the remainder when n is divided by 11?
10
Suppose 47*n + 19617 = 21779. Let x(v) = v - 1. Let d be x(3). Suppose -3*s + 16 = -d*s. Calculate the remainder when n is divided by s.
14
Let g = 95572 - 95559. Calculate the remainder when g is divided by 1*(3 + (-1 - 0)).
1
Let w(h) be the third derivative of 11*h**4/12 - 26*h**3/3 + 4*h**2 - 7. What is the remainder when w(7) is divided by 55?
47
Let k(v) = -2*v**2 + 12*v - 12. Let s be k(5). What is the remainder when 150/(-5)*(3 - (-9)/s) is divided by 15 + -1 + (-4 - -2)?
9
Let p(x) = 7*x + 485. What is the remainder when 2665 is divided by p(-61)?
55
Suppose 12*y - 9*y = 2*w - 15, 4*y + 20 = 0. Suppose w = 7*x - 93 - 12. Calculate the remainder when 582 is divided by x.
12
Let n(f) = 2*f**2 - f + 41. What is the remainder when 900 is divided by n(0)?
39
What is the remainder when (-17208)/(-162)*27/6 is divided by 120?
118
Let q(j) = j**3 + 23*j**2 + 40*j + 29. Suppose 0 = 4*t + 2*r + 68, 4*r = 2*t + 7*r + 26. What is the remainder when q(t) is divided by 14?
13
Let r(m) = m**3 + 7*m**2 + 2*m - 4. Suppose 4*d = 3*u - 5*u + 2, -u + 4*d + 7 = 0. Calculate the remainder when (-9)/(-21) - u/((-21)/263) is divided by r(-6).
18
Let p = 386 + -382. Suppose 3*l = -p*f + 502, -3*f + 53 = 4*l - 320. What is the remainder when f is divided by 32?
31
Let w be (-1075)/4 + (210/56)/(-15). Let l = w + 306. Calculate the remainder when 143 is divided by l.
32
Suppose -2987 - 2718 = -163*j. Calculate the remainder when 10217 is divided by j.
32
Suppose 5*x - 3210 = 3*i - 1077, 5*x + 5*i = 2125. What is the remainder when x is divided by 40?
26
Let u(q) = -6*q**3 + 4*q**3 - 9*q**2 + 11 - 14*q + 15*q. Calculate the remainder when u(-6) is divided by 29.
26
Let j = 23440 - 23380. Calculate the remainder when j is divided by 27.
6
Let j(f) = 16*f**2 + 9*f - 5. Calculate the remainder when j(5) is divided by 149.
142
Let m = -350 - -804. Suppose 3*z - m = -5*p, -2*p - 5*z = -2*z - 187. What is the remainder when p is divided by 30?
29
Suppose 0 = -4*h - h + 2*i + 221, 4*h = -4*i + 188. Let c(d) = 7*d**3 + h - 8*d**3 + d**2 + 57 - 2*d. What is the remainder when c(0) is divided by 26?
24
Suppose -k + 27 = q + 314, 3*q - 5*k = -845. Let a = 289 + q. What is the remainder when 35 is divided by a?
3
Let d(z) = z**2 - z + 1. Calculate the remainder when (-7 - (-20)/4 - (-126)/14) + 108 is divided by d(-3).
11
Let d be (-4)/(-6) - (-3 - (-952)/24). Calculate the remainder when 7/((d/(-54))/(26/3)) is divided by (-99)/(-4) + 4/16.
16
Let d(v) = -v + 66. Calculate the remainder when 116 is divided by d(54).
8
Let j = 25215 - 24890. What is the remainder when j is divided by 41?
38
Let j(x) = 28*x**2 - 321*x + 962. What is the remainder when 1021 is divided by j(3)?
17
Suppose 0*p - 2*x + 15 = p, -9 = -2*p + 3*x. Calculate the remainder when 753 is divided by p.
6
Let q = -8 - -17. Suppose 4616 = -62*k + 66*k. Suppose k = 26*z + 400. What is the remainder when z is divided by q?
2
Let t = -169 + 173. Calculate the remainder when 36 is divided by ((-777)/74)/((-2)/t).
15
Suppose -6*b - 8 = -4*b. Let t = -91707 - -91743. What is the remainder when ((-206)/(-4))/(b/(-8)) is divided by t?
31
Suppose -4*g + 279 = 5*g. Suppose -g*s + 25*s = -186. What is the remainder when s is divided by 3?
1
Suppose -4*t - 19 = -47. Calculate the remainder when 157 is divided by t.
3
Let i(l) be the first derivative of 3/2*l**2 - 8/3*l**3 - 5*l - 13 + 1/4*l**4. Calculate the remainder when i(9) is divided by 13.
12
Let x be -1 + 13/11 + 434/154. Suppose x*d - 137 = -4*o, -6*d + d = -o - 236. Suppose -3*b + 2*b = -90. What is the remainder when b is divided by d?
43
Let g(q) = -q**2 + 77*q - 1114. What is the remainder when 1712 is divided by g(22)?
80
Suppose -6*o + 10 = -o. Calculate the remainder when (1 - 1*o) + 19 is divided by (-30)/(-24) + 4646/808.
4
Let d(q) be the third derivative of q**4/6 + 11*q**3/2 + 9*q**2. Let g be d(-8). Calculate the remainder when ((-54)/(-4))/g*(2 + 0) is divided by 17.
10
Let q(s) = s**3 + 23*s**2 + 16*s - 54. What is the remainder when q(-22) is divided by 70?
8
Let q = 840 - 824. Suppose 560 = 24*b - q. Calculate the remainder when 282 is divided by b.
18
Let i(t) = -t**2 + 18*t + 4. Let z be i(14). Let x be 7212/z + 1/(-5). Suppose 108 = 4*l - x. What is the remainder when l is divided by 20?
17
Suppose 56*r - 59382 = 9106. What is the remainder when r is divided by 72?
71
Suppose 0 = 39*g - 329 - 6691. Calculate the remainder when 209 is divided by g.
29
Suppose 0 = -3*a + 5*g + 1188, 2*a - 458*g - 797 = -453*g. What is the remainder when a is divided by 14?
13
Suppose -9 - 3 = -6*z. Suppose -z*q + 73 = -3*b, 3*q + 167 = 7*q + b. Suppose 0 = 5*v - 24 - q. What is the remainder when 103 is divided by v?
12
Suppose -5111*d = -5101*d - 20880. What is the remainder when d is divided by 17?
14
Suppose 0 = -n + 2*t + 29, -3*t - 7 = -3*n + 71. What is the 