?
1
Let v(c) = 11*c. Let k(i) = -i**2 - 30*i + 1062. Calculate the remainder when k(20) is divided by v(2).
18
Let g(n) = 11*n**2 + 4*n - 4. What is the remainder when g(-3) is divided by 23?
14
Suppose -3*o + p = -2*o - 68, -248 = -4*o - 4*p. Let z(f) = 147*f**2 + 2348*f - 30. What is the remainder when o is divided by z(-16)?
31
Let n(w) = 7*w**2 + 3*w - 3. Suppose -3*k + 6 = -195. Suppose 0 = 2*r - o - 0*o - 23, -4*r - 5*o = -k. What is the remainder when n(-3) is divided by r?
12
Suppose -7*s + 293 = -1. Calculate the remainder when 248 is divided by s.
38
Suppose k + 0*k - 103 = -2*o, -3*k = -3. Suppose -6 = -q + 38. What is the remainder when q is divided by (-44 - (-1 - -2))*(-17)/o?
14
Let k(g) be the second derivative of -g**5/20 + 5*g**4/6 + 3*g**3/2 - 9*g**2/2 - g. Calculate the remainder when k(6) is divided by 38.
37
Let r(j) = 11*j**3 - 4*j**2 + 5*j + 5. Let h(w) = 6*w**3 - 2*w**2 + 3*w + 3. Let y(g) = 5*h(g) - 3*r(g). Calculate the remainder when y(-2) is divided by 5.
2
Suppose -5*k + 98 = 3*w, 0 = 15*w - 19*w - 16. Calculate the remainder when 86 is divided by k.
20
Suppose 0 = 4*c + 5*f - 702, 3*f - 9 = -3. Calculate the remainder when c is divided by 36.
29
Suppose -3*x = -25 - 20. Calculate the remainder when 28 is divided by x.
13
Suppose 34*z - 35*z + 10 = 0. Calculate the remainder when 33 is divided by z.
3
Let l = 149 + -130. Calculate the remainder when 35 is divided by l.
16
Suppose 220*v + 550*v - 8338 = 12*v. Let x = 0 - -2. Calculate the remainder when -35*(32/(-10) + x) is divided by v.
9
Suppose -4*w = 3*g - 12 - 1, -5*w - 2*g + 18 = 0. Suppose 16*i + w*i - 300 = 0. What is the remainder when 102 is divided by i?
12
Suppose 4*r + 94 = 78, 5*k - 2*r = 13. Calculate the remainder when k is divided by 1.
0
Suppose 0 = 40*s - 15*s - 800. Let p be (-1)/(-2) + 4/8. Let o = p + 10. What is the remainder when s is divided by o?
10
Let v(n) = -n + 18. Let z be v(6). Suppose 3*b - 6 = 5*u + z, -3*u = -4*b + 24. What is the remainder when 7 is divided by b?
1
Let r(y) = 6*y - 1. Suppose -p = -2*x + 29, 3*x = p + 2*p + 51. Suppose -d - 15 = -5*g, -4*g + d = 5*d + x. What is the remainder when 30 is divided by r(g)?
8
Suppose 274*w = 282*w - 192. Suppose -2*s + 562 = -2*f + 6*f, 4*f - 557 = -3*s. Calculate the remainder when f is divided by w.
23
Suppose -232 = -4*k + 4*w + w, 5*k = 4*w + 281. Suppose 222*y - 2331 = -37*y. What is the remainder when k is divided by y?
8
Let h(x) = -x**2 - 8*x + 9. Suppose 5*f = -d + 5, 3 = -0*f + f. Let y be h(d). Let b = y - -13. Calculate the remainder when 7 is divided by b.
1
Let j(c) = -c**2 + 48*c + 39. Let m = -10 - -15. Calculate the remainder when j(48) is divided by m.
4
Let l be 7 + -7 - 1/(2/(-4)). Let x = 16 - l. What is the remainder when 45 is divided by x?
3
Let f = -15 + 14. Let s be 1*(f + -2)/3. Calculate the remainder when (-2 - -28) + (2 - s) is divided by 15.
14
Let n = -1 - 0. Suppose 0 = y - 5 + 11. What is the remainder when 5 is divided by y/(1/(-1) + n)?
2
Suppose 3*a + 62 = 4*a + 5*j, -394 = -5*a + 3*j. What is the remainder when a is divided by 26?
25
Let n(y) = -y**3 - 6*y**2 + 34*y - 21. Calculate the remainder when n(-10) is divided by 9.
3
Suppose -2*f - 6 = 0, f - 4*f = k. Suppose p = -2*p + 18. Let t(c) = -c**2 + 6*c + 4. Calculate the remainder when k is divided by t(p).
1
Suppose 20*c - 16*c - 8 = 0. Suppose -3*k + c*q + 150 = -q, 3*k + 5*q - 174 = 0. Calculate the remainder when k is divided by 27.
26
Suppose 3*l + 3 = 6. Suppose l + 1 = x. What is the remainder when 43 is divided by 33/x + 9/(-6)?
13
Suppose 11*w - 1581 = 2346. Calculate the remainder when w is divided by 20.
17
Suppose 21*u = 94 + 11. Suppose -2*k = 4*v - 2*v - 4, -v + k + 8 = 0. Calculate the remainder when v is divided by u.
0
Suppose -5*p + 8 = -52. Let a = 38 + -17. What is the remainder when a is divided by p?
9
What is the remainder when 100 is divided by (-15)/((-3)/8*4)?
0
Let j(a) = 46*a - 10. Let l be j(6). Suppose -2*s = 5*s - l. Calculate the remainder when s is divided by 13.
12
Suppose -5*o = -0*o - 15. Let u(g) = g - 2. Suppose -h = 4*a - 26, a = -3*a + h + 22. What is the remainder when u(a) is divided by o?
1
Let o(u) = u**2 - 3*u - 85. What is the remainder when 1043 is divided by o(-12)?
93
Suppose 3*t - 1 = -7, -2*t - 67 = -3*p. Let m(f) = -2 + 13*f - 27 - 16 - 25. What is the remainder when p is divided by m(6)?
5
Let g(n) = 77*n**2 - 3*n + 3. What is the remainder when g(-1) is divided by 20?
3
Suppose 0 = 2*c - 20 + 10. Calculate the remainder when (-3 + 1)/((-2)/5) is divided by c.
0
Suppose o + 3*k - 70 = 0, 0 = -o + 6*k - 5*k + 70. Suppose v + 3*w = 24, 0*v - w + 63 = 4*v. What is the remainder when o is divided by v?
10
Let t = 63 - 30. Let g = 46 + -4. Let i = -33 + g. What is the remainder when t is divided by i?
6
Let x(k) be the first derivative of k**3/3 - 7*k**2 + 27*k + 12. Let b be x(11). Let z = 9 - b. Calculate the remainder when 57 is divided by z.
12
Suppose 3*p = 12, -2*z = 5*p - 67 + 15. Let u(b) = b**3 - 3*b**2 - 6*b - 7. Let r be u(5). Let h = r + -7. Calculate the remainder when z is divided by h.
4
Suppose n = 4, -17 = -3*u - 0*u + n. Calculate the remainder when 41 is divided by u.
6
Let r(p) = -7*p + 1. Let s be r(-1). Suppose -3*c + s + 22 = 0. Calculate the remainder when c is divided by -8 + 8 - 3*-1.
1
Suppose 2*z = -2*w - 3*z + 9, 5 = 5*z. Suppose -3 = -w*p - 21. Let u = 15 + p. Calculate the remainder when 14 is divided by u.
2
Let i = 1132 + -1063. Calculate the remainder when 145 is divided by i.
7
Calculate the remainder when 68 is divided by 2 - 3 - (-4 - 28).
6
Let g = -12 - -30. Let b be 8/12 - 16/(-12). Suppose b*p - 15 = -5. Calculate the remainder when g is divided by p.
3
Suppose 0 = -34*m + 31*m + 12. Suppose -d + m*v = -5, -d - 15 = -4*d - 3*v. What is the remainder when 19 is divided by d?
4
Let j(y) = 2*y**2 + 6*y. Suppose t = 2*g, 0 = 3*t - g + 3 - 8. Suppose 5*d - 3*d + 17 = x, t*x = d + 40. Calculate the remainder when x is divided by j(-4).
5
Let l = -815 - -1949. Suppose l = 3*h - h. What is the remainder when 4/3*h/14 is divided by 14?
12
Let s = -651 - -867. Calculate the remainder when s is divided by 118.
98
Let q(r) be the second derivative of -9*r**5/5 + r**4/12 + r**3/6 + 10*r. Calculate the remainder when q(-1) is divided by 13.
10
Let t = 15 + 14. Let c(j) = -j**3 + 7*j**2 - j + 13. Let r be c(6). Let x = 51 - r. Calculate the remainder when t is divided by x.
5
Suppose 6 = 4*g - 30. Calculate the remainder when 181 is divided by g.
1
Suppose 2*j + 117 = -a, -4*a = -2*j - 8*a - 108. Calculate the remainder when -3 - j/24*(28 + 0) is divided by 14.
11
Suppose 2*f - 4*n = 4, -5*f + 9*n = 4*n - 5. Suppose f = -4*l + 46 - 202. Let k = l - -92. What is the remainder when k is divided by 14?
11
Let w(u) = u**3 + 5*u**2 + 3*u + 2. Let d be w(-4). Let k = 35 - d. What is the remainder when (-4 + 312/15)*5 is divided by k?
26
Calculate the remainder when 310 - (35 + 1)/(-4) is divided by 16.
15
Let n = 41 + -84. What is the remainder when (4 - 5)*-1 - n is divided by 15?
14
Suppose -m - 22*q - 10 = -18*q, -5*q = 3*m + 2. What is the remainder when 22 is divided by m?
4
Suppose 5*k - 41 = 3*s, -4*s - 18 = -2*k - 2*s. Calculate the remainder when k is divided by 4.
3
Suppose 4*d = -4*n + 256, -2*d - 22 = -n + 51. Let q = 11 - -6. Calculate the remainder when n is divided by q.
16
Suppose 4*l + 3*h + 43 = 6*l, 4*h = 2*l - 46. Suppose y + 3*s - l = -3*y, 16 = 5*y + 2*s. Calculate the remainder when 2 is divided by y.
0
What is the remainder when 87 is divided by (-1 + 10)/((-11)/((-110)/15))?
3
Calculate the remainder when 550 is divided by 64860/282*(-1 - 14/(-10)).
90
Suppose -10*v + 53 - 193 = 0. Suppose 0*q - 121 = -q. Let y = q + v. Calculate the remainder when y is divided by 18.
17
Suppose 0 = -5*y - o + 3*o + 71, 2*o + 45 = 3*y. Let s = -2 + y. Suppose -5*i = -3*h + 156, -3*i + 18 = h - 34. What is the remainder when h is divided by s?
8
What is the remainder when 61 is divided by (-45)/225 + 618/15?
20
Suppose -253 = -7*x + 3*x - n, 2*n - 254 = -4*x. Calculate the remainder when x is divided by 19.
6
Let d(i) = i**2 - 50*i - 97. Calculate the remainder when d(53) is divided by 7.
6
Let k = 26 - 24. Calcul