
8
Suppose -4324 = 9*p - 55*p. What is the remainder when p is divided by 33?
28
Suppose 0 = 4*m - 4*c - 312, -c = -21*m + 23*m - 141. Suppose -4*v + 989 + 166 = a, -a = 5*v - 1443. Calculate the remainder when v is divided by m.
69
Suppose 4*k + 2*z - 148 = -0*z, 5*z - 160 = -4*k. Calculate the remainder when k is divided by 4.
3
Suppose 2*c - 24 + 4 = 0. Let i = -4 + c. Calculate the remainder when 48 is divided by (i - 3)*1 - -14.
14
Let d(z) = -68*z**3 + z**2 + 2*z + 1. Calculate the remainder when d(-1) is divided by 85/17 + ((-1)/(-2))/((-23)/(-598)).
14
Suppose 6 + 30 = -3*a. Let f be (1 + -5)*(-27)/a. Let j = 39 - f. What is the remainder when j is divided by 17?
14
Let j(n) = -n**3 - n**2 + 2*n - 7. Let r be j(-3). Suppose 0 = l - 1, 3 = -r*t - l - 6. What is the remainder when (-3411)/(-54) - t/(-12) is divided by 13?
11
Suppose -4*d + 229 = -19. Let f = -38 + d. Suppose 0 = -21*i + 1656 - 135 - 51. Calculate the remainder when i is divided by f.
22
Let s(c) = 25*c**2 + 3*c - 2. Let y be s(2). Let v = y - 81. What is the remainder when 64 is divided by v?
18
Suppose 13*u = 5*i + 9*u - 98, -i - u = -25. Calculate the remainder when 100 is divided by i.
12
Let o(n) = -2*n + 16. Let i be o(6). Let a(b) = b**3 - 4*b**2 + b + 4. Calculate the remainder when a(i) is divided by 5.
3
Let n(i) = -17*i**3 + 2 - 5*i**2 + 10*i**3 + 8*i**3 - 2*i - 4*i. What is the remainder when n(8) is divided by 37?
35
Let u(t) = t**3 + 8*t**2 + 4*t - 2. Let p(j) = -8*j - 3. Let f be p(3). What is the remainder when u(-4) is divided by f/(-2) + (-3)/2?
10
Let a(m) = -12*m + 142. Calculate the remainder when 299 is divided by a(0).
15
Suppose x = 6*x - 2225. Suppose -3*f = 5*m - f - x, 2*m - f - 169 = 0. Suppose 8*y - 3*y - 90 = 0. Calculate the remainder when m is divided by y.
15
Let b = 578 + -121. Calculate the remainder when b is divided by 20.
17
Let w be 272/(-9) - 16/(-72). Let v = -13 - w. Suppose c + 0*c = v. Calculate the remainder when c is divided by 9.
8
Suppose 0 = -2*u + 8 - 6. What is the remainder when (-3)/((u - -1)/(-6)) is divided by 3?
0
What is the remainder when 20 is divided by (-1218)/(-105) - (2 + 7/(-5))?
9
Let k(b) = 10*b + 31. Let n(c) = -c**3 + c**2 + c + 1. Calculate the remainder when k(1) is divided by n(-2).
8
Let n = 161 - 119. Calculate the remainder when 53 is divided by n.
11
Suppose 17*l = 240 + 100. Calculate the remainder when l is divided by 8.
4
Suppose 5*y = 4*h + 4 + 23, 3*y + 3 = -4*h. Suppose 23 = y*x - 280. Calculate the remainder when x is divided by 26.
23
Let g(q) = -q**3 - 5*q**2 - q - 7. Let z be g(-5). Let j be (-406)/(-49) - z/(-7). Let v = -3 + j. What is the remainder when 13 is divided by v?
3
Suppose 4*j - 4*h = 192, 0 = -0*j - j + 5*h + 28. What is the remainder when j is divided by 11?
9
Let z = 129 + -69. What is the remainder when z is divided by 29 + -13 + 120/8?
29
Calculate the remainder when 343 is divided by (-2)/(-23) + (-10920)/(-1380).
7
Suppose 5*z - t - 3*t - 27 = 0, 5*z = t + 18. Let g be ((-78)/(-9))/((-1)/z). What is the remainder when 10 is divided by -10*(g/10 + 2)?
4
Let n(c) = -4*c - 24. Let a be n(-8). Let l(g) = -g**3 + 9*g**2 - 5*g + 7. Calculate the remainder when l(a) is divided by 4/(-5)*(5 - 25).
15
Let x = 13 + -14. Let l(n) = n + 2. Let z be l(x). Calculate the remainder when 134 is divided by z/1 - 52/(-2).
26
Suppose 4*c = -215 + 491. What is the remainder when 758 is divided by c?
68
Suppose 0 = -10*x - 313 + 973. Calculate the remainder when x is divided by 14.
10
Suppose 0 = -w + 5*o - 13 + 68, -2*w = -o - 92. What is the remainder when w is divided by 12?
9
Let m(x) = x + 1. What is the remainder when 97 is divided by m(16)?
12
Let r = 336 - 332. What is the remainder when 19 is divided by r?
3
Let u(z) = -2*z**2 - 35*z + 13. Calculate the remainder when u(-15) is divided by 24.
16
What is the remainder when 441 is divided by (-886)/(-10) - 2*(-2)/10?
85
What is the remainder when 192 is divided by (21/2)/(230/40 + -5)?
10
Suppose 0 = -7*v + 4*v - 3*s + 315, -212 = -2*v - 4*s. Suppose 0 = -10*k + 36 + v. What is the remainder when k is divided by 9?
5
Let n(f) = 9*f + 75. Let h = 120 - 120. What is the remainder when n(h) is divided by 38?
37
Suppose 0 = -8*n + 1503 - 111. Calculate the remainder when n is divided by 38.
22
Let j(q) = 32*q**2 - 27*q + 11. Calculate the remainder when j(4) is divided by 70.
65
Let m = 711 + -490. Calculate the remainder when m is divided by 115.
106
Let a = 159 - 148. Suppose -143 = -2*x + 1. Let z = x - 51. Calculate the remainder when z is divided by a.
10
Let u(w) = -w + 9. Let z be u(7). Let d(m) = m**2 + 11*m + 0 - 6 - 2*m**z. Calculate the remainder when d(7) is divided by 12.
10
Let n(t) be the first derivative of -t**4/4 - t**3/3 - 2*t + 14. Calculate the remainder when 6 is divided by n(-2).
0
Suppose y - 56 = -7*y. Suppose 2 = -2*q, y*d - 4*d - 3*q - 51 = 0. Let x = -45 - -74. What is the remainder when x is divided by d?
13
Let j(h) = 2*h**2 + 40*h + 26. Calculate the remainder when 100 is divided by j(-20).
22
Let u = 290 - 223. Calculate the remainder when u is divided by 13.
2
Suppose -h = -3*s + 24, -11*s - 3*h - 30 = -14*s. Calculate the remainder when 94 is divided by s.
3
Let a = 1843 - 1058. What is the remainder when a is divided by 33?
26
Suppose -2*h - 5*l = 2*h + 12, 0 = 2*l + 8. Let z be (-141)/329 + (76/14 - -1). Suppose h*n = z*n - 40. What is the remainder when 49 is divided by n?
9
Let k(l) be the third derivative of -1/15*l**5 + 0 + 0*l + 1/3*l**3 + 1/120*l**6 + 2*l**2 - 1/12*l**4. Calculate the remainder when k(5) is divided by 5.
2
Let a = 6 - 10. Let d = -2 - a. Suppose 5*f - 267 = -d*t, -5*f - t + 110 = -161. What is the remainder when f is divided by 19?
17
Let n = -547 + 774. What is the remainder when n is divided by 46?
43
Suppose 0 = -589*k + 583*k + 330. Calculate the remainder when 116 is divided by k.
6
Suppose -4 = -3*z + 4*n - 5, 0 = z + 2*n - 13. Let l = 8 - z. Suppose -l*k + 17 - 2 = 0. Calculate the remainder when 18 is divided by k.
3
Let p be 15*3/3*14. Let x = 34 - 31. Suppose x*o = p + 24. What is the remainder when o is divided by 16?
14
Suppose -5*o + 2 = 4*p, -3*o + 2*p = -3*p + 21. Let z = 29 - o. Calculate the remainder when z is divided by 11.
9
Let z be (-10)/(-15)*(1 - -29). Let y(p) = -p**2 + 22*p - 33. Calculate the remainder when y(z) is divided by 5.
2
Suppose 29*q = 27*q + 34. Calculate the remainder when 65 is divided by q.
14
Let x(f) = 7*f - 21. Let p be x(3). Let r = 22 - -13. Calculate the remainder when r is divided by p + 3 + 5 - (1 - 2).
8
Let p(z) = 2 + 3*z**2 - 7*z**2 + 7*z - 1 + 20*z**2. Let q(u) = u**2 + u. Let v(d) = p(d) - 6*q(d). What is the remainder when 18 is divided by v(-1)?
8
Let z(g) = g**3 - 7*g**2 - 2*g - 3. Calculate the remainder when z(8) is divided by 7/14 - 46/(-4).
9
Suppose 9*x - 4*x - 40 = 0. Suppose -3*h + 9 = 2*p, -15 = 3*p - x*h + 3*h. Suppose p = -21*d + 24*d - 213. What is the remainder when d is divided by 24?
23
Suppose -2*c - 25 = -3*v, -5*c + 53 = 2*v + v. Suppose 0 = -2*x + x + v. Calculate the remainder when (0 - 5)/(1/(-6)) is divided by x.
8
Suppose -121*m + 530 = -111*m. Calculate the remainder when m is divided by 17.
2
Suppose -5*w - 12 = 3. What is the remainder when 199 is divided by -3*(-46)/6 + w?
19
Suppose -5*y + 178 + 7 = 0. Suppose -24 = -4*z + z. Calculate the remainder when y is divided by z.
5
Let x be (-2 + 1)*(-2 - (1 + -4)). What is the remainder when (-6)/((-1)/(15/16) - x) is divided by 32?
26
Suppose 3*m = -29 + 185. Let h = 8 + -11. What is the remainder when m is divided by 9/((-4)/36*h)?
25
Let v = -7 + 10. Suppose -t + 0*t = 3*i - v, -5*t + i = -79. Suppose -27 = -b + 4*y, -81 = -3*b + 20*y - 17*y. Calculate the remainder when b is divided by t.
12
Let v(u) = 4*u**2 + 26*u + 5. Let w(a) = 3*a**2 + 25*a + 5. Let t(n) = -5*v(n) + 6*w(n). What is the remainder when 29 is divided by t(10)?
4
Let p = -347 - -435. What is the remainder when p is divided by 23?
19
Let a = -5 - -180. Calculate the remainder when a is divided by 44.
43
Let n(k) = k**3 + 10*k**2 + 5*k - 21. Let p be n(-9). Calculate the remainder when 67 is divided by (-2)/p - 2827/(-165).
16
Suppose 26 = 2*b + 14. Calculate the remainder when 