ded by 15.
14
Let c(t) be the third derivative of -t**5/60 + t**4/4 + t**3/2 - t**2. Let a be (1 - -2 - 4/2) + 2. What is the remainder when 34 is divided by c(a)?
10
Let z = 63 - 34. Calculate the remainder when 173 is divided by z.
28
What is the remainder when 398/9 + 2 + 2/(-9) is divided by 7?
4
Let c = -1 + 9. What is the remainder when 28 is divided by c?
4
Suppose 134 = -4*b - g, -5*b - 183 = -2*g - 9. Let i = -16 - b. What is the remainder when 35 is divided by i?
17
Suppose d - 5*v = 1, -3*d + 20 = v + v. Suppose 3*o - 29 = 2*z, -o + d = -z - 2. Calculate the remainder when 23 is divided by o.
10
Suppose 5*i = 3*i + 2*y - 4, 2*i - y = 0. Suppose -5*m - 1 - 5 = -i*q, 0 = 3*m. Let a(v) = -v + 8. Calculate the remainder when q is divided by a(7).
0
Let k = -8 + 20. Calculate the remainder when 45 is divided by k.
9
Let w be 11/9 + 2/(-9). Suppose 3*t - 4 + w = 0. Calculate the remainder when t is divided by 1.
0
Suppose -l = 4*b - 6, 2*l - 5 = 5*b - 19. Calculate the remainder when 5 is divided by b.
1
Suppose -u - 1 = -9. Let d = -184 + 104. Let i = -49 - d. Calculate the remainder when i is divided by u.
7
Suppose 60 = 5*t + 2*f, 0 = 6*f - 2*f. What is the remainder when (8/(-10))/(2/(-25)) is divided by 21/3*t/14?
4
Let m(v) = v**3 - v**2 + v + 30. Let z be m(0). Suppose -z = -5*u - 0*u. What is the remainder when 9 is divided by u?
3
Suppose 104 = 4*w - w + 4*b, -183 = -5*w + 3*b. Calculate the remainder when 214 is divided by w.
34
Suppose 5*k - 5*a - 5 = 0, -3*a - 8 = -4*k - 1. Suppose 0*y - k*y = -104. Let x = y + -15. Calculate the remainder when x is divided by 7.
4
Let d(c) = 2*c - 6. Let f be d(3). Suppose f = b - 100 + 29. Let g = -3 + 21. What is the remainder when b is divided by g?
17
Let n(w) = 5*w - 7. Let z be n(5). Suppose z + 8 = 2*p. Let d = 2 + 3. Calculate the remainder when p is divided by d.
3
Let o = -28 + 85. Suppose -h + 18 - 3 = 0. Calculate the remainder when o is divided by h.
12
Suppose -b - u + 69 = 2*u, -3*b + 219 = 3*u. Suppose 0 = -2*w + b - 7. What is the remainder when w is divided by 12?
10
Suppose -x + 15 + 38 = 0. What is the remainder when x is divided by 11?
9
Suppose -3*t = 2*k + t - 20, -4*k + 27 = -5*t. Let h = 77 - 47. Calculate the remainder when h is divided by k.
6
Let h(a) = -a**2 - 2*a + 3. Let r be h(4). Let f = 4 - -16. Calculate the remainder when f is divided by 6/r - (-51)/7.
6
Let m = 6 - 3. Suppose -d = -m*l - 1 - 0, 0 = -d - 3*l + 1. Calculate the remainder when d is divided by 1.
0
Let v = 3 - -1. Calculate the remainder when 7 is divided by v.
3
Let y = 17 + 15. What is the remainder when 127 is divided by y?
31
Suppose 2*s + s - 36 = 0. Calculate the remainder when s/(-10)*(-45)/2 is divided by 15.
12
What is the remainder when 11 is divided by (-12)/(-10)*(-20)/(-3)?
3
Let t be 5*(-1 + 0) - -2. Let p(s) = -s**3 + 9*s**2 + 14*s - 16. What is the remainder when p(10) is divided by 2/t*117/(-6)?
11
Suppose -6*k = -2*k. Suppose -5*b + k*b = -75. Suppose 8 = 2*i, -3*i = -t - 0*i - 4. Calculate the remainder when b is divided by t.
7
Let l(i) = -i**2 + 10*i - 7. Let f be l(9). Suppose u + 88 = 2*z + 2*u, 0 = -2*z + f*u + 82. Calculate the remainder when z is divided by 8/(-14) - 1308/(-84).
13
Let f = -65 - -171. Suppose a + f - 8 = 4*y, -3*y + 77 = a. Calculate the remainder when 73 is divided by y.
23
Suppose n - 4*l + 2*l = 4, 4*l = -2*n. Let f = 4 + n. What is the remainder when 9 is divided by f?
3
Suppose -52 = -4*h - 12. Suppose j = -4*t - 23, 5*j - 33 = 5*t + 2*j. Let l = h + t. What is the remainder when 11 is divided by l?
3
Suppose -9 = 3*u + k - 4*k, 7 = -u + 5*k. Let h be 34 + ((-4)/u)/2. Suppose 7*c = 2*c + h. Calculate the remainder when 20 is divided by c.
6
Suppose -4 = -k - 2*o, -5*k - 4*o + 0*o = -14. Let x = k - -3. Suppose -j - 32 = -5*j. Calculate the remainder when j is divided by x.
3
Suppose 3*n - 48 = -n. Calculate the remainder when n is divided by 2.
0
Let k be 2/(2 + 24/(-14)). Let o(t) = t**2 + 3*t**2 - 2*t**2 - 5*t + k. What is the remainder when o(5) is divided by 11?
10
Suppose 2*z = 5*a - 55, -3*z = -0*a - 3*a + 60. Calculate the remainder when 19 is divided by (z/12)/(1/(-8)).
9
Let i = 20 + 16. What is the remainder when 102 is divided by i?
30
Suppose 2*h - 2*o = 98, 0 = -3*h + 5*o - o + 152. Calculate the remainder when h is divided by 15.
14
Suppose 65 = 2*g - 67. Suppose 8*l - 3*l - g = -4*i, 3*l - 5*i = 10. Calculate the remainder when 28 is divided by l.
8
Let f(y) = -3*y + 5*y**2 + 6 - 6*y + 2. Let m be f(6). What is the remainder when 40 is divided by m/10 - 24/(-40)?
12
Let y = -509 - -530. Suppose -2*b + 25 = -5*w + 4, 5*b = -w + 39. What is the remainder when y is divided by b?
5
Let k = -26 + 62. Calculate the remainder when 143 is divided by k.
35
Suppose 4*n - 67 - 72 = 5*f, -3*n + 2*f = -99. Let m(l) = -1 + 0 + 2*l**2 + l**3 + 2*l - 8*l**2. What is the remainder when n is divided by m(6)?
9
Let i(m) = m**3 - 11*m**2 - m + 5. Let v(l) = 2*l**3 - 21*l**2 - l + 9. Let p(n) = -5*i(n) + 3*v(n). What is the remainder when 34 is divided by p(8)?
16
Let y = 113 - -19. Suppose 5*i - 8 = y. Let r = -203 + 218. Calculate the remainder when i is divided by r.
13
Let q = -26 + 36. Calculate the remainder when 39 is divided by q.
9
Let w = -20 - -44. Let t(z) = -z**3 - z**2 - 4*z - 3. What is the remainder when w is divided by t(-2)?
6
Let b(j) = j**3 + 7*j**2 - 32*j - 11. Suppose 4*c - 41 = 4*s + s, -2*c + 13 = -s. Calculate the remainder when b(-10) is divided by c.
1
Let f(z) be the first derivative of -z**2/2 - z + 3. Let r be f(-4). Suppose -d = 0, r*h + 6 = 4*h + 3*d. What is the remainder when 21 is divided by h?
3
Suppose 9*f = 14*f - 55. Let a(q) = -q**2 - 8*q - 4. Let o be a(-7). Suppose o*r = -0*r + 96. Calculate the remainder when r is divided by f.
10
Suppose 5*g + 45 - 163 = -2*j, -5*j + 20 = 0. What is the remainder when 41 is divided by g?
19
Calculate the remainder when 1/(-5) + 222/10 is divided by 12.
10
Let o = 12 + 1. Calculate the remainder when 36 is divided by o.
10
Let g = 18 - 10. Suppose 0 = 3*s - 76 + 7. What is the remainder when s is divided by g?
7
Let x = 1 - 1. Suppose -4*v + 27 + 5 = x. What is the remainder when 23 is divided by v?
7
Let j be (-94)/2*(2 + -3). What is the remainder when 102/(-4)*28/(-21) is divided by j/4 + 3/12?
10
Let o(l) = l**2 - 3*l. Let n be o(3). Suppose u + n - 19 = 0. Suppose 0 = -3*i + 5*j + 8 + u, 0 = -3*i - 4*j. What is the remainder when 5 is divided by i?
1
Calculate the remainder when 3 is divided by 3*(2 + -4 + 3).
0
Suppose -228 = -24*i + 18*i. What is the remainder when i is divided by 16?
6
Suppose 0 = -2*l + 1 + 3. What is the remainder when (4 - 2 - 0)*l is divided by 2?
0
Let c = -65 - -144. Let s be 1/(238/c + -3). Suppose 2*k - s = 5*y, 6*y - 2*y + 44 = k. Calculate the remainder when k is divided by 17.
15
Let v(g) = 2*g - 1. What is the remainder when v(4) is divided by 3?
1
Suppose 3*l - 112 = -l + 3*j, l - 5 = -5*j. Calculate the remainder when l is divided by 12.
1
Let c = -57 + 75. What is the remainder when 142 is divided by c?
16
Let q(w) = -4*w. Calculate the remainder when (-120)/(-5) + 1*-2 is divided by q(-2).
6
Let o(j) = -4*j + 4. Suppose -49 = -5*m + 146. What is the remainder when m is divided by o(-4)?
19
Calculate the remainder when 54 is divided by -14*((-28)/8 + 2) - 2.
16
Let i(c) = c. Let m(s) = -2*s**3 - s**2 + 5*s. Let t(g) = -6*i(g) + m(g). What is the remainder when (-9)/(-6)*2*1 is divided by t(-1)?
1
Suppose 3*z - 29 = -11. Suppose 0 = 3*b - z*b + v + 91, 4*b - 122 = v. Let m(s) = s + 3. What is the remainder when b is divided by m(8)?
9
Let x be 14/(-35)*10*-1. Let h(z) = -6*z**3 + 3*z + x*z**2 + z**3 - z**2 - 3*z**3 + 1. What is the remainder when h(-2) is divided by 24?
23
What is the remainder when 2/3 + (-74)/(-6) is divided by (5 - 3)/(2/5)?
3
Suppose 72*b = 75*b - 99. Calculate the remainder when 64 is divided by b.
31
Suppose 702 = -3*a - 0*a. What is the remainder when a/(-5) + (-2)/(-10) is divided by 24?
23
Let n(k) = k**3 + 10*k**2 + 7*k + 4. What is the remainder when n(-8) is divided by 26?
24
Let u(f) = 6*f - 7. Let q(p) = -7*p**3 - p**2 - 2*p - 1. Let j be q(-1). Calculate the remainder when u(j) is divided by 12.
11
Sup