he remainder when v is divided by 3.
0
Suppose -t + 8*t - 168 = 0. Let b(u) = u**2 - 4*u + 4. Calculate the remainder when t is divided by b(5).
6
Let w(v) = -12*v - 10. Let h be w(-4). Suppose -g + h = 2*m, -m - 3*g - 66 = -5*m. What is the remainder when 35 is divided by m?
17
Suppose 3*o = -2*o + 65. Let h = 6 + -3. Suppose -h*j + 152 = j. What is the remainder when j is divided by o?
12
Suppose 0 = -2*o + o + 10. Let a(u) = -u + 13. Let c(x) = x. Let r(t) = a(t) + 3*c(t). Calculate the remainder when r(o) is divided by 17.
16
Let u(z) = -z**3 - 2*z**2 - 2*z. Suppose 5*b + 35 = -5*l, 0*l + 23 = -2*l - 5*b. Let i = 1 + l. What is the remainder when u(i) is divided by 8?
7
Let p(i) = i**2 - i - 6. Let z be 1/4 + (-38)/(-8). Calculate the remainder when 26 is divided by p(z).
12
Calculate the remainder when 19 is divided by ((-2)/(-3))/((-2)/(-15)).
4
Let b = -1 - 4. Let q(z) = -z**3 - z**2 + 6*z + 1. Calculate the remainder when q(b) is divided by 18.
17
Let w(c) = 2*c**2 + 1. Let k be w(-2). Suppose -s = -5*t + 65, -3*s + 0*s = 2*t - k. Calculate the remainder when 34 is divided by t.
10
Suppose 4*k - 5*k - 1 = 0. Let c = k - -2. Calculate the remainder when 26 is divided by c/((-3)/(-30)) + -1.
8
Let o(v) = -5 + 0 - v**2 + 0*v**2 - 2*v - 7*v. Suppose 2*a + 3*j = -22, -2*j + j = 4*a + 24. What is the remainder when 43 is divided by o(a)?
13
Let d = -8 - -11. Let c = 10 - 3. What is the remainder when c is divided by d?
1
Suppose 0 = 2*j + 3*j - 10. Let d(h) = -h**3 + 2*h**2 + h - 2. Let p be d(2). Suppose -j = -a - p*a. Calculate the remainder when a is divided by 2.
0
Let o(s) = s**3 + 7*s**2 + 4*s + 6. Let t be o(-6). Let k = 22 + -15. What is the remainder when k is divided by (-1)/(-5) - t/(-10)?
1
Let t(n) be the first derivative of 1/2*n**2 - 2 + 25*n. What is the remainder when t(0) is divided by 9?
7
Calculate the remainder when -15*(2 + (-3 - 0)) is divided by 9.
6
Suppose p = 4 + 12. Suppose 13*a - 15*a = -p. Calculate the remainder when 19*1 - (-2 - 0) is divided by a.
5
Let c = 0 + 6. Suppose n = c*n. Suppose 3*t + 10 - 67 = n. Calculate the remainder when t is divided by 10.
9
Suppose 4*t - t = 39. Let z be (-1)/5 - (-7)/35. Suppose h - 3*x - 9 = z, 2*x = -4*h + 4*x + 86. What is the remainder when h is divided by t?
11
Suppose -5*w = -464 - 146. Suppose -4*n = -2*n - w. Calculate the remainder when n is divided by 21.
19
Let c = -10 - -33. Calculate the remainder when 53 is divided by c.
7
Suppose 3*w = -2*y + 224, -4*y + 4*w - 3*w = -448. Calculate the remainder when y is divided by 29.
25
Let q = -127 + 199. Suppose 0 = -4*b + q + 20. Calculate the remainder when b is divided by 12.
11
Let g be 2*(-1)/4*4. Let k(u) = 8*u**2 + u + 1. Let p(t) = -2*t**3 - t**2 + t - 2. Calculate the remainder when k(g) is divided by p(-2).
7
Suppose 0 = -3*l - u - u + 147, -5*l - 3*u = -245. Calculate the remainder when l is divided by 13.
10
Let i(s) = 3*s**2 + s - 3. Calculate the remainder when i(-6) is divided by 25.
24
Let b(z) = -26*z - 4. Let p be b(-4). Suppose 5*t - p = -0*t. Calculate the remainder when t is divided by 11.
9
Suppose -y + 5*s + 28 = 0, 2*s + 8 = -4*y - 2*s. Let u be (0 - (-3)/y)*3. Suppose -u*k + 4 = -k, k = -2*r + 20. Calculate the remainder when 24 is divided by r.
6
Let a = -6 - -10. Let o = a - 2. Suppose 55 - 7 = o*b - 2*f, -4*f - 27 = -b. Calculate the remainder when b is divided by 12.
11
Suppose 0 = 4*h - 7*h + 33. Calculate the remainder when 53 is divided by h.
9
Suppose f - 2 = 5. What is the remainder when 11 is divided by f?
4
Suppose -4*x = -3*i, -5*x + 3*i = -i. Suppose 0 = 3*l - x*l - 27. What is the remainder when 15 is divided by l?
6
Let x = -10 - -8. Let k = 5 - x. Let m(t) = t + 1. What is the remainder when k is divided by m(2)?
1
Suppose 0 = 3*k - x - 34, x + 47 = -0*k + 4*k. Suppose -150 = -4*h - 3*s, -5*s + 4 = -6. What is the remainder when h is divided by k?
10
Let p be 91 + -2 - (-2 - -3). Suppose -5*s + p = -207. Calculate the remainder when s is divided by 20.
19
Suppose 2*b - 4*n + 2*n - 28 = 0, -3*b = 4*n - 63. Calculate the remainder when 63 is divided by b.
12
Suppose -t + 0*k + 14 = -k, 3*k - 22 = -t. What is the remainder when 77 is divided by t?
13
Suppose -3*y - 9 = -0*y. Let c = y - -7. What is the remainder when 7 is divided by c?
3
Suppose 240 = k + 7*k. Calculate the remainder when k is divided by 11.
8
Let k(f) = f**3 - 7*f**2 + 11*f - 9. What is the remainder when 143 is divided by k(6)?
17
Suppose -17 = -t - 8. What is the remainder when 24 is divided by t?
6
What is the remainder when 3 is divided by 4/10 + 3/5?
0
Let x be -4 + -41 - -2*1. Let p = -17 - x. Let i(u) = 3*u**2 - u - 1. What is the remainder when p is divided by i(2)?
8
Let s(i) = 11*i**2 + i - 2. Calculate the remainder when 128 is divided by s(2).
40
Suppose 0 = 3*s - 39 - 24. Suppose b - 86 - 13 = 0. What is the remainder when s is divided by ((-4)/(-6))/(6/b)?
10
Suppose 0 = -u + 139 - 14. What is the remainder when u is divided by 32?
29
Let h(p) = 2*p**3 + 12*p**2 - 2*p - 1. Let b be 4/(-6)*171/(-6). Suppose 2*l + y - b = -3*l, 3*y - 12 = 0. What is the remainder when h(-6) is divided by l?
2
Let i be 6/(-27) - 112/(-18). Let m(z) = 17*z**2 + 1. Let n be m(-1). Suppose i = -a + n. Calculate the remainder when 23 is divided by a.
11
Let p(d) be the third derivative of -d**4/6 - 4*d**3/3 + d**2. Let r be p(-11). Suppose 6*h - r = 2*h. Calculate the remainder when 26 is divided by h.
8
Suppose -3*c + 0*c = -27. Let u(p) = p + 14. Calculate the remainder when c is divided by u(-8).
3
Let i(b) = 6*b - 4. Let a(p) = -p**3 - 8*p**2 - 6*p + 6. Calculate the remainder when a(-8) is divided by i(3).
12
Let i be (-4)/(-24) + 52/(-24). Let v = i - -7. Calculate the remainder when 14 is divided by v.
4
Suppose -3*h = -13 - 5. Calculate the remainder when 21 is divided by h.
3
Let k = -20 + 31. Let f be -1 + (-1 - (1 - 8)). Suppose 46 = 2*j - 2*g, -f*j + 0*j + 3*g + 109 = 0. Calculate the remainder when j is divided by k.
9
Let w = -29 + 76. What is the remainder when w is divided by 26?
21
Let y be ((-2)/(-5) - 0)*-5*1. Let d be (1/(-1) + 1)/(-1). Calculate the remainder when 2 - d/y - -20 is divided by 8.
6
Suppose -1 = i, 4*d + 0*i - 73 = 5*i. What is the remainder when d is divided by 5?
2
Suppose 2*v = 3*g + 8, -3*v - 3*g + 3 = 6. What is the remainder when 17 + v*(1 + -2) is divided by 9?
7
Suppose 0 = 5*i - 2*i + 6. What is the remainder when (i - -1)*(-5 - 3) is divided by 3?
2
Let i(q) = 7*q + 2. Let y(v) = -70*v - 21. Let j(n) = 21*i(n) + 2*y(n). What is the remainder when 41 is divided by j(2)?
13
Suppose -279 = -l - 8*l. Suppose -44 = -5*o + o. What is the remainder when l is divided by o?
9
Suppose -a + 35 = 4*a. Calculate the remainder when a is divided by 2.
1
Suppose -35*o + 190 = -30*o. What is the remainder when o is divided by 20?
18
Let u be (1 - 0)*(-3)/(-1). Suppose 0 = -5*m + 3*b - 76, -u*b = 3*m + b + 34. Let r = m - -22. Calculate the remainder when r is divided by 5.
3
Let v = -2 + 27. Calculate the remainder when 98 is divided by v.
23
Let i(g) = 3*g**3 + 2*g**2 - 3*g + 3. Let u(j) = j - 7. Let k be u(8). Suppose -5*o = -9 - k. What is the remainder when i(o) is divided by 10?
9
Let k be (2 - 3) + (-1 - 0). Let s(g) = -g**2 - 4*g. Let v be s(k). Suppose v*u + q - 37 = 0, 5*u + q - 5*q = 62. What is the remainder when u is divided by 4?
2
Let l = 37 + -29. Let j(u) be the second derivative of u**4/12 - 7*u**3/6 + 7*u**2/2 - u. Calculate the remainder when j(l) is divided by 9.
6
Let m = -5 - -10. Suppose -5*d = -d, 2*l + m*d = 10. Let c(g) = -4*g**3 - 2*g**2 - 2*g - 1. Calculate the remainder when l is divided by c(-1).
2
Let w(u) = u**3 + 7*u**2 - 2*u + 3. Calculate the remainder when 32 is divided by w(-7).
15
Let i(t) = t**3 + 5*t**2 + 3*t - 3. Calculate the remainder when 11 - (-4 + 2 + 3) is divided by i(-3).
4
Suppose -5*v + 5 = -40. What is the remainder when v is divided by 6?
3
Suppose -2 = 2*x - o - 5, -15 = -5*o. Suppose -5*z + 449 - 429 = 0. What is the remainder when z is divided by x?
1
Suppose 0 = -3*t + 6 - 0. Suppose 3 = -4*n + 19. Suppose 5*v + i - 5 = -2*i, -2*i + 4 = n*v. What is the remainder when t is divided by v?
0
Let b = 31 - 16. What is the remainder when 59 + (