Suppose -142*v + 140*v + w = -421, -3*v + 5*w + 600 = 0. What is the remainder when 1211 is divided by v?
136
Let q(x) = 1211*x - 1196. What is the remainder when ((-56)/1)/(-1 + 0) is divided by q(1)?
11
Let h(p) be the third derivative of -p**6/120 - 11*p**5/60 - 7*p**4/24 - 14*p**3/3 - 16*p**2 - 2*p. What is the remainder when h(-11) is divided by 10?
9
Let t(x) = 4*x + 2. Let g = -40 - -7. Let q = -7 - g. Calculate the remainder when q is divided by t(3).
12
Let k = 319 + -443. Let o = k - -563. What is the remainder when o is divided by 22?
21
Let z be (-1)/9 - 949/(-117). Let t(j) = -3*j + 90. What is the remainder when 525 is divided by t(z)?
63
Let x = 2657 - 2639. Calculate the remainder when 298 is divided by x.
10
Suppose 13*t - 22 = 15*t, -5*t = 4*h - 73. What is the remainder when (-6)/8 + (-382)/(-8) is divided by h?
15
Let i(v) = -v - 9. Let k be i(-11). Suppose -2*g = -5*z + 10 + k, -4*z + 5*g + 13 = 0. Suppose -z*a + 47 = 9. What is the remainder when a is divided by 11?
8
Let w(d) = 76*d - 4. Suppose -15*s + 12*s + 5*q = -114, -s = 5*q - 38. What is the remainder when w(3) is divided by s?
34
Suppose 3690*g - 902 = 3679*g. What is the remainder when g is divided by 19?
6
Let y be (-15)/(-3) - (-1 + 1). Suppose 2*k = y*s - 234, k + 1 + 1 = 0. What is the remainder when s is divided by (-4 + 64/24)/((0 + -1)/12)?
14
Suppose 22 = 7*j + 1. Let s(x) = -37*x**3 + 3 + 6*x + 78*x**3 + x**2 - 42*x**j. What is the remainder when 17 is divided by s(-2)?
2
Let o = 37 - 23. Suppose -64*t + 346 = -75*t + 1028. Calculate the remainder when t is divided by o.
6
Let d(s) = -123*s - 949. What is the remainder when (50/(-8))/((-2)/48) is divided by d(-8)?
10
Let n = -120948 - -121023. Calculate the remainder when 219 + -1 + 1 + 1 is divided by n.
70
Let j(m) = 7*m + 21. Let s be j(-3). Suppose 15*q + 660 = 2*a + 13*q, s = 3*q - 6. What is the remainder when a is divided by 24?
20
Let m = 5 + -1. Suppose -52 = -2*x - 3*n, -m*n = x - 2*n - 26. Suppose -62 = -2*a - y, -a - 6*y + x = -3*y. What is the remainder when 159 is divided by a?
31
Suppose 3*j - 162 = -5*l, 16*j + 506 - 1370 = l. Calculate the remainder when 2961 is divided by j.
45
Let n be 3 + 1 - (-56 - -59). Calculate the remainder when (-481)/(-10) - n/10 is divided by 25.
23
Suppose -4 = 11*t - 13*t. What is the remainder when ((-201)/t)/(11/(-4) + 2) is divided by 17?
15
Suppose 179*v - 58*v = -114*v + 6580. Calculate the remainder when 474 is divided by v.
26
What is the remainder when 108/(-21 - -12) + 324 is divided by 33?
15
Suppose 203*t = 202*t + 14. Suppose 4*y - 203 = 9. What is the remainder when y is divided by t?
11
Suppose -1572*r = -1569*r + 66. Suppose 4*g + 2*m = 4*m + 390, 0 = -g + m + 95. Let u = r + g. Calculate the remainder when u is divided by 20.
18
Suppose 14*s - 4*p = 11*s + 86, 0 = -s - 4*p + 50. What is the remainder when 639 is divided by s?
27
Let y = -4407 - -8033. Suppose -4*v + y = 10*v. Calculate the remainder when (v/21 - -7) + (-4)/(-6) is divided by 13.
7
Let z be 186/9 + 10/(-15). Suppose -5*g + z = -u, -2*u = g - 5*g + 22. Let b = -17 + 27. What is the remainder when b is divided by g?
1
Calculate the remainder when 2769 is divided by (-4)/(-10)*(437 + -52).
151
Let s(n) = 15*n - 4. Let u = -102 + 567. Let r = u + -462. What is the remainder when s(3) is divided by r?
2
Suppose 4*q + v = 1033 - 16, -3*v = -15. What is the remainder when q is divided by 92?
69
Let u = -232 + 174. Let o = u + 215. What is the remainder when o is divided by 10?
7
Suppose 0*p - 5 = -2*g - 3*p, g = 4*p + 30. Suppose 4*f - 18 = g. Calculate the remainder when 56/63*-3*(1701/(-28))/9 is divided by f.
4
Let w(s) = -14*s**2 + 7*s - 7. Suppose -6 + 3 = -d. Let f be w(d). What is the remainder when 38 is divided by -1 + (f/(-20))/((-2)/(-5))?
12
Let i = -5977 - -32024. What is the remainder when i is divided by 32?
31
What is the remainder when -10 - (((-1097772)/13)/3 - -6) is divided by 54?
52
Let y = -3904 + 3951. Calculate the remainder when 217 is divided by y.
29
Let p(u) = u - 1. Let a(t) = -2*t**3 + 4*t**2 - 3*t + 7. Let w(h) = a(h) + 6*p(h). Let n = -6 + 4. What is the remainder when w(n) is divided by 16?
11
What is the remainder when 8738 is divided by -4*(-651)/(-252)*-3?
27
Calculate the remainder when 49 + (-12)/((-8)/2) is divided by -5*(-12)/60 + 13.
10
Suppose 78 = 41*a - 215 - 240. What is the remainder when 47 is divided by a?
8
Suppose -76*l - 48*l = -70432. What is the remainder when 3982 is divided by l?
6
Suppose 26983 = 34*q - 84*q + 87683. What is the remainder when q is divided by 112?
94
Let o(w) = 6*w**2 + 39*w - 50. Let h(x) = 11*x**2 + 77*x - 101. Let b(i) = -6*h(i) + 13*o(i). Calculate the remainder when 77 is divided by b(1).
12
Let y(m) = m**3 + 2*m**2. Let z be y(-2). Suppose z = -6*b + b + 175. Suppose 1135 - 129 = 157*a - 1192. What is the remainder when b is divided by a?
7
Let c(d) = -d**3 + 103*d**2 - 375*d + 48. What is the remainder when c(99) is divided by 238?
223
Let w(v) = v**3 + 31*v**2 - 72*v - 181. Let h = -84 - -230. Calculate the remainder when h is divided by w(-33).
10
Let r = -5303 + 5399. Calculate the remainder when 1240 is divided by r.
88
Suppose 0 = -2*i + w + 5, 2*w = 5*i - 11. Let g(t) = -7*t**2 + 5*t**2 - i + 3*t**2 - 3*t. Calculate the remainder when 7 is divided by g(4).
1
Calculate the remainder when 939 is divided by (-8)/3*5133/(-116).
113
Let o = 41 - 62. Let u(j) be the first derivative of -j**2/2 + 16*j + 3. What is the remainder when u(o) is divided by 10?
7
Suppose 55*a - 10 = 53*a. Suppose 2*l - 5*d = 55, 3*d + 166 = a*l + 19. Calculate the remainder when 44 is divided by l.
14
Let i = 49097 - 48834. What is the remainder when i is divided by 59?
27
Suppose 5*v - 43*h + 45*h - 539 = 0, -5*v = -5*h - 595. Calculate the remainder when 130 is divided by v.
19
What is the remainder when 773 is divided by 19*(-1 + (-5 - -7))*1?
13
Let c(d) = 116*d**2 - 4*d + 4. Let b be c(1). Let g = b - 92. Calculate the remainder when 68 is divided by g.
20
Suppose 95*u - 308770 = -15*u. Calculate the remainder when u is divided by 24.
23
Let d(w) = -7*w**2 + 75*w - 87. Calculate the remainder when 66 is divided by d(8).
1
Let j = 250 - 260. Let s = -107 - -240. Calculate the remainder when s is divided by (-369)/(-12) + 3 + j/(-40).
31
Let b = -29 + -37. Let u = -55 - b. Let l(y) = 3*y - 8. Calculate the remainder when u is divided by l(5).
4
Let p(j) = -34*j**3 - 18*j**2 + 9*j - 12. Let y be p(-6). Suppose 0 = 37*c - y + 2079. Calculate the remainder when c is divided by 3.
0
Suppose 0 = 175*a + 39*a - 14552. Calculate the remainder when 2934 is divided by a.
10
Let d = 10803 - 4074. What is the remainder when d is divided by 51?
48
Suppose 121 = -30*i + 271. Suppose -p + f + 71 = -139, 4*p = -i*f + 813. Let v = 27 + 8. What is the remainder when p is divided by v?
32
Let u(z) = -z**3 + 10*z**2 + 13*z - 10. Let j be u(11). Calculate the remainder when 95 is divided by j/27 - (-352)/18.
15
Suppose 18455*a - 18480*a = -67075. Calculate the remainder when a is divided by 117.
109
Let s = -2 - -12. Let b = 22 + s. Suppose -90 = -d - 2*l, 5*d + 9*l - 192 - 256 = 0. What is the remainder when d is divided by b?
22
Suppose -67037 - 34195 = -18*d - 58*d. Calculate the remainder when d is divided by 20.
12
Let x be -7 - (2/(-6))/(5/(-30)). Let n = 21 + -31. Calculate the remainder when 19 is divided by 3 + x/2*20/n.
7
Suppose z - 3 = -1. Suppose -z*u + u + 8 = 0. Suppose -3*b - 4*t = -155, -4*b - t = -107 - 104. Calculate the remainder when b is divided by u.
5
Suppose 16*g - 398 = 1234. Suppose -2*w + 676 = -g. Calculate the remainder when w is divided by 80.
69
Let z(d) = 3*d**3 + d**2 - 6*d - 1. Let u(m) = m**3 + 6*m**2 + 2*m + 14. Let c be u(-6). Let j = 194 - 122. What is the remainder when j is divided by z(c)?
12
Let i = -750 + 797. Suppose -z + 4 = 0, -3*g - 2*g + 2*z = -i. What is the remainder when 339 is divided by g?
9
Let f = -388 - -357. Let n(h) = -h**2 - 26*h + 189. Calculate the remainder when 233 is divided by n(f).
29
Let r = 71 + -71. Let h(v) = 0 - 8*v + r + 0. Calculate the remainder when 16 is divided by h(-1).
0
Let t(z) = -107*z + 422. Let j be t(4). Let c(x) = 13*x + 3. Calculate the remainder when c