x - 2*x = -50. Suppose -4*o + o - 69 = 0. Let n = -4 - o. Calculate the remainder when n is divided by x.
9
Suppose 12*r - 8 = 11*r. What is the remainder when 0 + r - 12/(-3) is divided by 7?
5
Suppose -c + 59 = 4*z - z, -4*z = -2*c + 98. Let i = -2 - -4. What is the remainder when c is divided by 17 - 2 - (-6)/i?
17
Let f(i) = 28*i**2 - 13*i - 48. Calculate the remainder when f(-6) is divided by 80.
78
Suppose -10*c - 18 = -188. Calculate the remainder when (78 - -4)/(0 - -1) is divided by c.
14
Let w(y) = -14*y**2 - 1 - y**2 + 9*y + 9*y + y**3 - 19. Let t(c) = -c**3 - 9*c**2 - 9*c + 6. Let m be t(-8). What is the remainder when 105 is divided by w(m)?
33
Let s(m) = 26*m + 23*m - 6*m**2 - 2 + m**3 + 26*m**2 + 7*m**2. What is the remainder when 61 is divided by s(-25)?
15
Let k(j) be the second derivative of -j**3/6 + 6*j**2 + 12*j. Calculate the remainder when 52 is divided by k(-6).
16
Let f = 1333 + -1093. Calculate the remainder when f is divided by 27.
24
Suppose l - 10 = -15*u + 11*u, -l + 2*u + 16 = 0. Suppose -3*y - k = -19, 0 = -4*y + 3*y + k + 1. What is the remainder when l is divided by y?
4
Calculate the remainder when 8 is divided by 3 + 2/3*24/(-16).
0
Let f = 62 + -44. Suppose 0 = -25*t + 225 - 0. Calculate the remainder when f is divided by t.
0
Calculate the remainder when (74/(-4))/((-12)/24) is divided by 2.
1
Let k(u) = u**3 - 5*u**2 + 1. What is the remainder when k(7) is divided by 42?
15
Suppose -142 + 1294 = 24*v. What is the remainder when v is divided by 22?
4
Suppose 2*c = 9*c - 770. Suppose 18*h - 7*h = c. Calculate the remainder when 37 is divided by h.
7
Suppose -8*g - 102 = -350. Suppose -g = -4*x - 7. What is the remainder when x is divided by 3?
0
Suppose 4*b = -3*h + 45, 3*h = 4 + 5. Suppose y = -4*m + 68, -m + 5*y + b = -8. What is the remainder when 66 is divided by m?
15
Suppose 5*a + 2 = -5*q - 13, 3*q + 4 = -2*a. Let l be q/(-10) - 224/(-20). Let p(m) = 3*m - 4. What is the remainder when p(l) is divided by 8?
5
Suppose -22*j + 26*j + 359 = 3*d, 4*j = 4*d - 480. Calculate the remainder when d is divided by 14.
9
Let c = -24 - -42. Calculate the remainder when ((-3)/c)/(2/(-4))*165 is divided by 15.
10
Let y(p) = -p**3 + 5*p**2 - 5. Let o be y(4). Suppose -57 - o = -j. Suppose 2*s - 4*s = -j. What is the remainder when s is divided by 12?
10
Let x = 56 + -5. Let a = 3717 + -3689. Calculate the remainder when x is divided by a.
23
Calculate the remainder when 238 is divided by 1540/462 + (-358)/(-6).
49
Let g(m) = 4*m + 1 + 8*m**2 + m - 7*m**2. Let f = -15 - -9. What is the remainder when 26 is divided by g(f)?
5
Suppose -29*d + 35*d = 1686. Calculate the remainder when d is divided by 94.
93
Let k = 3 - -13. Suppose -11*p + 67 + 32 = 0. Calculate the remainder when k is divided by p.
7
Let n(t) = 2 + 0 - 2*t**2 + 7 - 9*t + t**2. Let b(d) = d**3 - 3*d**2 - 4*d + 10. Calculate the remainder when n(-8) is divided by b(4).
7
Suppose -3*p - 4*t - 10 = 0, t = 6*p - p + 9. Calculate the remainder when 19 is divided by -10*(p - (-6)/4).
4
Suppose 784 = -4*w + 4008. Suppose 2*g + 0*g = 4*a - w, 3 = -3*g. Suppose -a = -d - 2*d. Calculate the remainder when d is divided by 23.
21
Let v(s) = -2*s**2 - 81*s - 80. What is the remainder when v(-25) is divided by 17?
15
Let c = 6 + 5. Suppose -4*h - 2*o = -112, 3*h = -3*o - 20 + 101. What is the remainder when h is divided by c?
7
Let x(t) = t**3 - 4*t**2 - 2*t - 29. What is the remainder when 185 is divided by x(6)?
30
Let p(n) = -n**3 + 8*n**2 - n + 11. Let a be p(8). Suppose 4*u + 0*t - 3*t = 64, -3*t - 45 = -a*u. What is the remainder when 55 is divided by u?
17
Let u = -12 - -19. Let s(y) = y**2 - y - 2. Let c be s(u). Suppose 2*d + 4*v - v = 25, 4*d - 4*v - c = 0. Calculate the remainder when 43 is divided by d.
10
Suppose 12 = -2*k + 96. Suppose 5*c - 63 = -2*j, 4*j - 3*c = j + k. Calculate the remainder when 31 is divided by j.
12
Calculate the remainder when 75 is divided by (-27)/15 + 3 + (-13284)/(-180).
0
Let m(f) = 17*f + 2. Let l be m(6). Suppose 6*w - l = 88. Let p = w - 9. Calculate the remainder when 67 is divided by p.
21
Suppose -2*o + 51 = o. Calculate the remainder when o is divided by 32/(-24)*(110/(-40) + -4).
8
Let l(r) = r**3 - 4*r**2 - r + 5. Let j be l(4). Let c(p) = 33*p + 2. Calculate the remainder when c(j) is divided by 9.
8
Suppose -1189 = -24*k + 899. Calculate the remainder when k is divided by 24.
15
Let q(y) = -18*y**3 - 65*y**2 + 2*y + 8. What is the remainder when q(-4) is divided by 48?
16
Let r(d) = -2*d + 0*d - 1 + 7*d. Suppose 76 - 18 = 3*j - 4*w, 0 = -4*w + 20. Calculate the remainder when j is divided by r(3).
12
Let l = -1156 + 1158. Calculate the remainder when 0 + -2 - (1 + -12) is divided by l.
1
Suppose 133 + 189 = b. Calculate the remainder when b is divided by 54.
52
Let l(a) = -9*a**3 - 2*a**2 + a + 2. Suppose -y - 4 = -q, 0 = -0*y - 2*y - 10. Calculate the remainder when 38 is divided by l(q).
6
Suppose -7 = -4*l + 5*g, -5*l + g = -3*g - 2. Let z = 9 + l. What is the remainder when 26 is divided by z?
5
Calculate the remainder when ((-8)/3)/(0 - 1/6) is divided by 5.
1
Let a = 23 + -31. Let d(r) = -r + 5. What is the remainder when 48 is divided by d(a)?
9
Let m = -121 + 81. Calculate the remainder when (-376)/m + (-9)/(-15) is divided by 3.
1
Let s(z) be the third derivative of -z**6/120 + z**5/5 - 3*z**4/4 - z**3/2 + 47*z**2. What is the remainder when 67 is divided by s(10)?
16
Suppose -4*b + 2*b + 115 = -5*c, -3*b = -3*c - 186. Suppose -b = 5*w - 10*w. Calculate the remainder when w is divided by 7.
6
What is the remainder when 1383 is divided by 3/(9/(-84))*(-21)/28?
18
Let o(a) = -a - 5. Let c = -6 + -1. Let b be o(c). Suppose -2*v - 20 = 3*v, b*i - 4*v - 20 = 0. What is the remainder when 6 is divided by i?
0
Let o = 57 + -38. Calculate the remainder when 53 + 4 + 4 + -7 is divided by o.
16
Let i be (-1 + 2)/(6/138). Suppose 2*h - 5*h + 69 = -5*a, h + a - i = 0. What is the remainder when 91 is divided by h?
22
Suppose -144*h + 148*h + 2*f - 950 = 0, 12 = -4*f. What is the remainder when h is divided by 22?
19
Suppose 0 = -w + 334 - 59. Calculate the remainder when w is divided by 31.
27
What is the remainder when 174 is divided by 20 + (51 + -51)*1/(-3)?
14
Suppose -3*u + 24 = -12. What is the remainder when u is divided by 2 - (17/(-7) + 96/(-168))?
2
Let a(p) = -p**2 + 24*p + 8. Calculate the remainder when 151 is divided by a(22).
47
Suppose 126 = 4*x - 14. Suppose -2*g + 4*z = -46, -x = 2*g - 3*g + 5*z. Let n = -79 + 136. What is the remainder when n is divided by g?
12
Let i = 97 - 90. Suppose -i*c + 16 = -12. Suppose 0 = -3*z + z + 26. Calculate the remainder when z is divided by c.
1
Suppose -3*q - x + 60 = -3*x, 0 = 3*q - 3*x - 63. Suppose 5*g = -t + 4*t - 65, -t + g + 23 = 0. Calculate the remainder when (-2)/5 - (-1285)/t is divided by q.
15
Let z = -49 + -28. What is the remainder when 14 is divided by (z/(-14) + -6)/(2/(-20))?
4
Let w = -922 + 1310. Let o(d) = d**3 - 2*d**2 + d. Let q be o(1). Calculate the remainder when (w/2)/(2 - q) is divided by 25.
22
Suppose 0 = 32*n - 29*n - 9. Suppose 0 = -4*u - 8, d + n*u = -3*d + 70. Calculate the remainder when 72 is divided by d.
15
Suppose -7*j - 14 = -8*j - 5*h, -j + 3*h - 10 = 0. Calculate the remainder when (-20)/(-2 - 0) - (j + 2) is divided by 1/4 + 22/8.
0
Let s = 36 + -30. Suppose v - 322 = -s*v. Calculate the remainder when v is divided by 12.
10
Calculate the remainder when 0 - 18*(-7 - -2 - 0) is divided by 40.
10
Suppose -16 = -4*v, -4*z + 700 = 2*v + 64. Calculate the remainder when z is divided by 16.
13
Calculate the remainder when (3/6)/((-2)/(-708)) is divided by 49.
30
Let o be 4/(-5)*(-70)/28. Suppose o*y + 52 = 62. Calculate the remainder when 7 is divided by y.
2
Let s(p) = -p**3 + p**2 - p + 236. Let m be s(0). Suppose -v + 5*f = 2*v - 206, f = -3*v + m. Calculate the remainder when v is divided by 16.
13
Let v(i) = -i**2 - 20*i - 7. Suppose 5*l - 7*l + 106 = 0. Let c = -38 + l. What is the remainder when v(-16) is divided by c?
12
Suppose -3*w - 7*g + 4*g = -81, -3*w = g - 77. What is the remainder when 77 is divided by w?
2
Let g(f) = -20*f - 7. Let q be g(-5). Let w = 148 - q. Calculate the remainder when w is divided by 10