is divided by q.
1
Suppose 9*v = -2*v + 66. Suppose 288 = -0*z + v*z. Calculate the remainder when 238 is divided by z.
46
Suppose 3*f + s = 3*s - 134, 149 = -3*f - s. Let d = f - -56. Calculate the remainder when 36 is divided by d.
4
Suppose -5*p + 16*x - 14*x = -1369, 0 = 5*p + 5*x - 1390. What is the remainder when p is divided by 46?
45
Let x = 53 - 47. Let j(k) = k**3 - 7*k**2 + 7*k - 5. Calculate the remainder when (8/x)/((-10)/(-15)) is divided by j(6).
0
Let b(m) = -3*m - 1. Let p be (-8)/(80/18)*-5. What is the remainder when b(-5) is divided by (8 - 3 - p)/((-3)/6)?
6
Let n(f) = f**3 + f**2 + 3*f. Let x be n(4). Suppose h + t + x + 0 = 0, 4*t + 461 = -5*h. Let i = -58 - h. Calculate the remainder when i is divided by 12.
11
Let y = -461 - -699. What is the remainder when y is divided by 12?
10
Let b = 0 + -28. Let t = 37 + b. What is the remainder when 53 is divided by t?
8
Suppose 0 = -u - 47*u + 30480. What is the remainder when u is divided by 106?
105
Let f(h) = h**2 - 14*h - 10. Suppose -75 = -3*l + 12. What is the remainder when f(-5) is divided by l?
27
Suppose -a - 3 = -2. Let s be (-59 - a)/((-2)/5). Suppose 6*r = r + s. What is the remainder when r is divided by 15?
14
Let g(x) = x**3 - 15*x**2 + 11*x + 50. What is the remainder when (1/1)/((-1)/(-29)) is divided by g(14)?
5
Let x(y) = y**2 - 23*y + 36. What is the remainder when 214 is divided by x(23)?
34
Suppose 0*n - 5*v = n - 97, -155 = -2*n + 3*v. Let c(g) be the first derivative of 5*g**2/2 - 44*g + 37. What is the remainder when n is divided by c(13)?
19
Suppose 0 = 3*d + 30 + 12. Let x be 2/(-3 - 46/d). Let i = 15 - x. Calculate the remainder when 22 is divided by i.
6
Let q(o) = 2*o**2 + 31*o + 67. What is the remainder when 150 is divided by q(-15)?
46
Let w = 120 + -82. Calculate the remainder when w is divided by 14.
10
Let f = -943 - -1021. What is the remainder when 155 is divided by f?
77
Let v = -198 + 229. Calculate the remainder when 58 is divided by v.
27
Let a(m) = -m**2 + 21*m + 9. What is the remainder when a(10) is divided by 21?
14
Let n = 7 + 2. Suppose 12*c = n*c + 63. What is the remainder when 39 is divided by c?
18
Suppose 104 = 4*i - g, -2*i - 5*g = -7*i + 130. Calculate the remainder when i is divided by 18.
8
What is the remainder when (-4 + 436/16)*(-56)/(-21) is divided by 17?
11
Suppose 0 = -3*h + 9 + 6. Suppose 8 = o + h. Suppose o*p + 106 = 340. What is the remainder when p is divided by 27?
24
Suppose 80 = 2*c - 4*h, -2*c + 76 = -4*h + 2*h. Calculate the remainder when c is divided by 10.
6
Calculate the remainder when ((-1242)/72)/((-5)/140) is divided by 231.
21
Suppose -3*l = -0*l + 147. Let d = -41 - l. Let x(b) = b**3 - 6*b**2 - 4*b - 6. Calculate the remainder when x(7) is divided by d.
7
Suppose 0 = -5*l - z - 142 + 1135, 0 = z + 2. Suppose 131 = -6*s + 437. Calculate the remainder when l is divided by s.
46
Let v = 420 - 233. Let r = v - 121. What is the remainder when r is divided by 17?
15
What is the remainder when 144 is divided by 496/14 - (-192)/(-448)?
4
Let w be ((-57)/(-9) - 2)/(3/9). Calculate the remainder when 31 is divided by w/((-5)/((-10)/2)).
5
Let q(n) be the first derivative of -n**4/4 - 26*n**3/3 - 23*n**2/2 + 59*n - 18. What is the remainder when 35 is divided by q(-25)?
8
Suppose w + 3*t - t = 10, -5*w + 50 = 4*t. Let a be 28/w - (-2)/10. What is the remainder when 10 is divided by a/((21/4)/7)?
2
Let j(y) = -y**3 + 11*y**2 - y. Let x be j(11). Let b = 33 + x. Suppose 170 = -2*h + 4*h. What is the remainder when h is divided by b?
19
Suppose 41 - 1 = 5*u. Suppose 0 = -5*i + 3*i + 204. Let s = i - 82. What is the remainder when s is divided by u?
4
Let n(q) = 21*q + 490. Calculate the remainder when 489 is divided by n(-23).
6
Calculate the remainder when 95 is divided by -21 + 44 + (-6)/(-2).
17
Let d(t) = 5*t**3 + t - 1. Let z be d(1). Suppose -20 = -z*q + 3*q. What is the remainder when 16 is divided by q?
6
Suppose -3*c - 89 = -6*c + 5*p, -5*p = -4*c + 112. Calculate the remainder when 435 is divided by c.
21
Suppose 6*i - 11*i + 175 = 0. Let o = i + -12. What is the remainder when 67 is divided by o?
21
Suppose -2*p + 3*p - 14 = 0. Let n(o) = o**3 + 4*o**2 + o - 4. Let x be n(-5). What is the remainder when p is divided by x/(-8) + 10/(-40)?
2
Let u = 180 + -173. Calculate the remainder when 53 is divided by u.
4
Let p = -6 + 0. Calculate the remainder when 34/2 - (p + 6) is divided by 9.
8
Suppose 4*x = -3*g + 23, -2*x + 19 = x + 4*g. Calculate the remainder when 49 is divided by x.
4
Let c(m) = m + 5. Let p be c(-13). Let v(w) = w**3 + 3*w**2 + 7*w - 4. Let i be v(p). What is the remainder when ((-1)/2)/(5/i) is divided by 20?
18
Let r = 13 - 9. Suppose 4*l = -3*i + 70, -4*l + 5*i + 19 + 35 = 0. Calculate the remainder when r/1*11 - -1 is divided by l.
13
Let x(j) = 26*j + 27. Let n(o) = 13*o + 13. Let i(c) = 5*n(c) - 3*x(c). What is the remainder when 15 is divided by i(-2)?
5
Suppose -3*x - 27 = -87. Suppose -4*a + 3*c + 325 = 0, -3*a - 3*c + 225 = c. What is the remainder when a is divided by x?
19
Let j(v) = -v**2 + 18*v - 14. Calculate the remainder when 162 is divided by j(4).
36
What is the remainder when 27 is divided by (-14)/21*-1*9?
3
Let s(z) be the second derivative of z**5/20 + 7*z**4/12 - 3*z**3/2 - z**2/2 - 2*z. Let d = 54 + -51. What is the remainder when s(-8) is divided by d?
1
Suppose 2*z = z + 10. Suppose z*d - 105 = 7*d. Calculate the remainder when d is divided by 9.
8
Let k be 4/((-16)/1134)*(-2)/1. Suppose -2*z - t - t = -230, t - k = -5*z. What is the remainder when z is divided by 29?
26
Let z(o) = 2*o**3 - 7*o**2 - 17*o + 81. What is the remainder when z(7) is divided by 79?
68
Let w(b) = b**3 - 20*b**2 - b - 32. Let k(m) = -3*m**3 + 39*m**2 + m + 64. Let q(j) = 2*k(j) + 5*w(j). What is the remainder when q(-22) is divided by 12?
10
Let u(c) = 71*c + 44. Let y be u(6). Calculate the remainder when 183 is divided by (y/(-50))/((-2)/10).
42
Let x(m) = -m - 1. Suppose -5*y = 5*o + 165, 3*y + 91 = -2*o - 8. Let s = 74 + y. What is the remainder when s is divided by x(-12)?
8
Calculate the remainder when 52/(-234) + 1/((-27)/(-26682)) is divided by 90.
88
What is the remainder when 550 is divided by (-6)/15 + (1470/(-25))/(-2)?
28
Let u(p) = 32*p + 305. Calculate the remainder when 217 is divided by u(-9).
13
Let i = -211 + 551. Calculate the remainder when i is divided by 19.
17
Suppose 2*n + o - 44 = -0, -3*o = 0. Let b(h) = -h**2 - 8*h - 4. Let m be b(-5). Suppose -m*c + 8*c + 18 = 0. What is the remainder when n is divided by c?
4
Let k = 19 - 11. Suppose q - 13 = w, 0 = 3*q - 7*q - 4*w + 20. What is the remainder when 107 is divided by q/(-6) - (-188)/k?
19
Suppose -6 = 3*l, -122 = g + 8*l - 10*l. Let r = -119 - g. Calculate the remainder when 54 is divided by r.
5
Suppose 977 = 4*r - 3*c, 31*r - 29*r = -2*c + 478. What is the remainder when r is divided by 62?
56
Suppose 82 = 4*t - 2*a - 3*a, -t - 2*a = -14. Let n be 4/18 - 3064/t. Calculate the remainder when n/(16/4 + -6) is divided by 22.
19
Suppose 10*z - 8*z = 184. Suppose z = q - 3*q. Let k = q + 75. Calculate the remainder when k is divided by 15.
14
Suppose 3*v + g = -1381, -827 = 2*v + 2*g + 87. Let z be 2/(-4)*1*v. Calculate the remainder when 56 is divided by z/12 - (-4)/(-16).
18
Let c = -5 + 109. Suppose -3*u = -0*u - 159. Let x = u + -18. Calculate the remainder when c is divided by x.
34
Suppose -i - 10 = -3*i. Suppose -4*d + 3 = -25. What is the remainder when d is divided by i?
2
Let m(k) = 11*k - 16. Let i = 10 + -14. Let l = i - -14. What is the remainder when m(l) is divided by 24?
22
Let m(t) = -t**2 + 5*t - 2. Let q be m(6). Calculate the remainder when 49 is divided by 69/4 + q/32.
15
Suppose 0 = 66*k - 75*k + 387. What is the remainder when 125 is divided by k?
39
Suppose -11*n + 55 = -9*n - 3*q, q = -4*n + 117. Calculate the remainder when 130 is divided by n.
14
Suppose -q - 75 = -5*h - 3*q, -3*h - q + 45 = 0. Let a(w) = -w**3 + 14*w**2 + 21*w - 14. What is the remainder when a(h) is divided by 20?
16
What is the remainder when 69 is divided by ((-3)/6)/((-37)/888)?
9
Let d(j) = 3*j**2 - 10*j - 2. Let m = 16 + -8. Suppose -m - 24 = -4*z. What is the remainder when d(5) is divided by z?
7
Sup