 Let n(x) = -4*x**3 + x**2 - 1. Let m be n(-1). Suppose -u + 5*o + 5 + f = 0, -m*u = 2*o. Calculate the remainder when 1 is divided by u.
0
Let f(i) be the second derivative of i**4/12 + i**3 + 5*i**2/2 - i. Let n be f(-5). Suppose n = y - 4*y + 21. Calculate the remainder when y is divided by 3.
1
Let n(c) = c - 3. Suppose -31 = -4*m - 7. Calculate the remainder when n(12) is divided by m.
3
Let n = -4 - -7. What is the remainder when n is divided by 3?
0
Let q be (-2)/1 + -7 + 0. Let l = 13 + q. Calculate the remainder when ((-2)/(-2))/((-2)/(-22)) is divided by l.
3
Let b(a) = -a**3 - 5*a**2 + 7*a - 7. Let x(w) = 14*w**3 + 1. What is the remainder when b(-7) is divided by x(1)?
12
Suppose 3*i - 5*i + 34 = 4*r, 4*i = 20. Suppose y + r = 13. Let l = -5 - -18. What is the remainder when l is divided by y?
6
Suppose -5*x + k + 90 = -89, -4*x + 4*k + 140 = 0. Suppose 0 = 4*a + 32 - 108. What is the remainder when x is divided by a?
17
Suppose 7*p - 4 = 3*p. Let v = 32 + -46. Let y = v - -15. What is the remainder when y is divided by p?
0
Suppose -4*k = -t - 28, 0*k - k = 3*t + 6. Calculate the remainder when k is divided by 2.
0
Suppose -5*g + 12 = -0*g + u, 0 = -4*g + u + 15. Suppose 4*x + 67 = g*c, -13 = 5*x + 7. What is the remainder when c is divided by 4?
1
Let f = -88 - -199. Calculate the remainder when f is divided by 28.
27
Suppose 4*j + 13 = -15. Let s(h) = h**2 + 7*h + 2. Let m be s(j). Suppose 14 + 4 = m*d. What is the remainder when d is divided by 5?
4
What is the remainder when 42 is divided by (-6)/(-14) - 60/(-7)?
6
Let p(r) = r**2 - 7*r + 4. Suppose 4*i = -2*j + 36, i + j - 8 = 1. What is the remainder when 41 is divided by p(i)?
19
Let t(b) = -2*b + 3. Let l(j) = 2*j + 18. Let y be l(-12). What is the remainder when t(y) is divided by 9?
6
Let c = 394 - 249. Calculate the remainder when c is divided by 49.
47
Let x = -67 + 113. Suppose 3*p - 4*p + 16 = 0. Calculate the remainder when x is divided by p.
14
Suppose 0 = -p - 3*t + 267, -p + 2*t + 28 + 259 = 0. Suppose -p = -4*m + 109. Calculate the remainder when m is divided by 25.
22
Suppose -2*d + 16 = 2*w - 40, 31 = w - 2*d. Suppose -4*v - 2*s = 1 - 51, -4*v - 3*s = -45. Let z = v - 7. What is the remainder when w is divided by z?
5
Suppose -4*q - 3*q = -1295. What is the remainder when q is divided by 31?
30
Let q(x) = 1. Suppose -4 = -0*a + 4*a. Let j(f) = -2*f**2 + 2*f + 3. Let i(p) = a*j(p) + 2*q(p). Calculate the remainder when 8 is divided by i(-1).
2
Let j(i) = i**2 - 8*i - 64. Calculate the remainder when j(-8) is divided by 17.
13
Let w be ((-36)/8)/(3/(-4)). Let o = w + 2. Let d(y) = 9*y - 3. Calculate the remainder when d(2) is divided by o.
7
What is the remainder when 6/(-8) + 380/16 is divided by 13?
10
Suppose -3*f + 146 = -f. What is the remainder when f is divided by 19?
16
Let v(w) = 3*w**2 + 2*w. Let s be v(-2). Let c = s + -3. Suppose m = 2*m - 3. Calculate the remainder when c is divided by m.
2
Let d = -7 - -27. Let h be ((-2)/3)/(1/(-6)). Suppose 59 = o + 5*t, -2*o + h*t = -60 - 58. Calculate the remainder when o is divided by d.
19
Suppose 3*m - 135 = -0*m. Calculate the remainder when m is divided by 23.
22
Let i = 20 + -11. Let o = 21 - i. What is the remainder when 46 is divided by o?
10
Suppose 0 = 4*t - 40 - 20. Let w = 85 + -58. Calculate the remainder when w is divided by t.
12
Suppose 10 = b - 0*b. Suppose -2*t - m = m, 4*m = 3*t - 14. What is the remainder when b is divided by t - (-1)/1*2?
2
Suppose 7*g - 1 - 153 = 0. Calculate the remainder when g is divided by 5.
2
What is the remainder when (-52)/(-7)*(2 + 15/10) is divided by 7?
5
Let c(x) = -x**3 - 2. What is the remainder when 29 is divided by c(-2)?
5
Suppose 3*k - k - 38 = 0. Suppose -3*x + 4*x + 16 = 3*z, 2*z - x - 9 = 0. Calculate the remainder when k is divided by z.
5
Let c(p) be the second derivative of p**4/3 - p**3/3 + p**2/2 - 2*p. Let z be c(1). Suppose 0 = -0*t + z*t - 117. What is the remainder when t is divided by 10?
9
Suppose 2*g - 16 = -4*c, 2*g + 0*c - 4*c = 0. What is the remainder when 7 is divided by g?
3
Suppose 3*h - 23 = -5. Suppose -d - c = -2*d + h, 4*d = -5*c - 3. Calculate the remainder when 11 is divided by d.
2
Suppose 4 = r, 28 = 3*n + n + 3*r. Suppose -15*l - 9 = -16*l. Calculate the remainder when l is divided by n.
1
Let o(m) = m**3 - 2*m**2 + 5*m - 4. What is the remainder when 21 is divided by o(2)?
3
Suppose 4*x + 4 = 152. Calculate the remainder when x is divided by 22.
15
Let t be (-123)/(-9)*(-4 - 2). Let s = -58 - t. Suppose -2*i + 1 = -25. What is the remainder when s is divided by i?
11
Let b = 3 - 2. Suppose -4*r - 7 = b, -5*k + 5*r = -150. Let n = -8 + k. What is the remainder when n is divided by 7?
6
Let a = 3 + -6. Suppose -m = 3*m - 4*g + 24, 0 = -m + 2*g - 8. Calculate the remainder when 20 is divided by (5 + a)*(-14)/m.
6
Let r(h) = -h**3 + 4*h**2 + 6*h + 7. Suppose 51 = 3*a - 18. What is the remainder when a is divided by r(5)?
11
Suppose -h - 3*s + 5*s + 15 = 0, 0 = 5*h + 3*s - 49. Let l(r) = r**3 - 3*r**2 - 2*r - 1. Calculate the remainder when h is divided by l(4).
4
Suppose -4*q = -14 - 54. Suppose 0*g - 12 = 2*g. What is the remainder when q is divided by (3*-2)/(4/g)?
8
Let t(l) = l**2 + 6*l - 7. Let q be t(-7). Suppose 3*k - 11 + 2 = 0. Suppose q*r = r - k. Calculate the remainder when 9 is divided by r.
0
Let p = 6 - 4. Suppose -i - 3 = -p*i. What is the remainder when i is divided by 2?
1
Let g be ((-6)/(-15))/(2/(-30)). Let v(j) = j**3 + 7*j**2 - 2*j - 5. What is the remainder when v(g) is divided by 15?
13
What is the remainder when 6/1*(-16)/(-3) is divided by (-476)/(-42) + 1/(-3)?
10
Suppose f = 12 + 1. Calculate the remainder when (-12 + -4)/((-4)/6) is divided by f.
11
Suppose -4*u + 13 = -31. What is the remainder when 19 is divided by u?
8
Let f(k) = k + 7. Let t be f(-5). Suppose 0*a = -2*n - a + 105, -5*n = t*a - 263. Calculate the remainder when n is divided by 18.
17
Let i = 4 + -2. Let d(c) = 3*c + 2 - 4 - 2*c - i*c. What is the remainder when d(-6) is divided by 3?
1
Suppose -2*i = -0*i + 4, 6 = -j - 5*i. Suppose j = 6*y - 4*y. Calculate the remainder when ((-1)/2)/((-1)/10) is divided by y.
1
Calculate the remainder when 4/(-6) + (-1)/3 + 12 is divided by 6.
5
Let n = -87 + 59. Let z = 48 + n. What is the remainder when 38 is divided by z?
18
Suppose -n + 10 = 8. Calculate the remainder when 2 is divided by n.
0
Let l(i) be the third derivative of 0*i + 0 + 1/6*i**4 + 1/3*i**3 - i**2. What is the remainder when l(4) is divided by 7?
4
Suppose 4*f - 47 = -s - 4*s, 3*f - 44 = -2*s. Let q be ((-15)/12)/(2/(-40)). Let x = q - f. Calculate the remainder when x is divided by 5.
2
Suppose g + 115 = 6*g + 5*h, g = -2*h + 22. Suppose -g = -4*c - 0*c. Calculate the remainder when 11 is divided by c.
5
Let c = -61 - -78. Calculate the remainder when 49 is divided by c.
15
Let g = 31 - 51. Calculate the remainder when (45/(-10))/(2/g) is divided by 23.
22
Suppose -2*t - 7*b + 29 = -2*b, 2*t + 4*b = 24. Suppose 4*q - 4*n - 1 = 7, 0 = -5*q - 5*n - 20. Calculate the remainder when t is divided by 1/(-3)*(-2 + q).
0
Suppose 208 = 3*i - 68. Calculate the remainder when i is divided by 24.
20
Let m = 12 + 8. Suppose 3*d - 7*d = -m. Suppose d*y - y - 60 = 0. What is the remainder when 44 is divided by y?
14
Let k = 214 + -162. Calculate the remainder when 152 is divided by k.
48
Let b = 31 + -20. Let q = 3 - 3. Suppose q*i + 5*i + 63 = 3*j, -2*j + 42 = 4*i. What is the remainder when j is divided by b?
10
Suppose 3*i - 39 - 3 = 0. Let v = -10 + i. Suppose 4*g = 5*l - 59 - 24, 0 = -v*l + 5*g + 70. What is the remainder when 43 is divided by l?
13
Suppose -5*g + g + 12 = 0. Suppose -2*m - 2 - 2 = -g*p, -p + 4 = -2*m. Suppose p = c - 5 + 3. What is the remainder when 4 is divided by c?
0
Let p = 19 + 14. What is the remainder when p is divided by 12?
9
Let x(z) = 2*z**2 - 20*z - 11. Let j = 15 + -11. What is the remainder when x(11) is divided by j?
3
Let a(f) = -f**2 + 5*f + 3. What is the remainder when 32 is divided by a(3)?
5
Let d = 59 - -19. Let c = -55 - -82. What is the remainder when d is divided by c?
24
Let g = -5 + 7. Suppose -2*c - g*c = -20. Calculate the remainder when 17 is divided by c.
2
Suppose -l + 5*l - 64