- 6. Calculate the remainder when l(10) is divided by 15.
13
Suppose 5*t - 53 - 82 = 0. Let p = t - -1. Suppose 9 = 3*q - 21. Calculate the remainder when p is divided by q.
8
Let g(z) = z**2 - 4*z + 6. What is the remainder when 100 is divided by g(4)?
4
Suppose 0 = 4*y - 20, 2 = -3*a - 3*y + 5. Let i(b) = 3 - 3*b**2 + 4*b**2 - 3*b + 0*b**2. Calculate the remainder when i(a) is divided by 11.
9
Suppose 4*h - 2*z + 4 = 18, 5 = -z. Let q be (-1)/(((-1)/h)/65). What is the remainder when 25 is divided by q/9 + (-8)/36?
4
What is the remainder when 42 is divided by (-1 - -3)*(-132)/(-24)?
9
What is the remainder when 64 is divided by 3/2*(-9)/(54/(-52))?
12
Suppose 3*v = 8 + 1. Suppose s - 25 = -4*p, 2*s - v*p = 1 + 16. Let i(b) = b + 25. Calculate the remainder when i(0) is divided by s.
12
Calculate the remainder when 23 is divided by (0 + (6 - 2)/12)*39.
10
Suppose -52 = -5*l + l. Calculate the remainder when (-5)/5*49/5*-5 is divided by l.
10
Let x(b) be the second derivative of -3*b**5/10 + b**4/12 - b**3/6 - b**2/2 + 4*b. Calculate the remainder when 25 is divided by x(-1).
4
Let w(t) = -5*t**3 - 4*t**2 - 2*t. Suppose 0 = -4*d + 1 + 3. Let u = -1 - d. What is the remainder when w(u) is divided by 10?
8
Let f(x) = -176*x**3 - 3*x - 2. Calculate the remainder when f(-1) is divided by 18.
15
Let o = 8 + 0. Let u be 13/(-4) - (-2)/o. Let j = 20 + u. What is the remainder when 33 is divided by j?
16
Suppose -5*x = -n + 38, 0 = 3*n - 4*x - 28 - 42. Calculate the remainder when n*1 - (-6 - -9) is divided by 9.
6
Suppose -3*r - 160 = 2*r. Let s = r + 54. Let a = 184 + -120. What is the remainder when a is divided by s?
20
Suppose 2*g - 5 = 5*h + 22, 41 = -3*h - 5*g. Let x = 11 + h. Calculate the remainder when 924/16 - (-1)/x is divided by 20.
18
Let y(a) = a**3 - 2*a**2 + 3*a - 1. Suppose 3*j + 24 = 4*f, -5*f = 5*j - 0*j + 40. Let u be j/14*14/(-4). What is the remainder when y(u) is divided by 3?
2
Let w = 3 + -5. Let o(t) = 4*t**2 - 4. Calculate the remainder when o(w) is divided by 5.
2
What is the remainder when 7 is divided by (-6 + 0 + 0)/((-9)/6)?
3
What is the remainder when 84 is divided by ((-3)/2)/(425/220 + -2)?
18
Suppose 17*i + 35 = 24*i. Calculate the remainder when 34 is divided by i.
4
Suppose -z + 5*l + 9 = 0, 4*l = -5*z + 67 - 22. Calculate the remainder when 24 is divided by z.
6
Let i(m) = m**2 + 10*m - 2. Let j be i(-10). Let d be j + 4/2 + -1. What is the remainder when -2*d/(-1) - -28 is divided by 7?
5
Calculate the remainder when ((-4)/5)/((-2)/20) is divided by 1 - 1/1*-4.
3
Let d(f) = 6*f**3 - 2*f + 1. Let x = 8 - 12. Let u be (-2)/(-3)*(-6)/x. Calculate the remainder when d(u) is divided by 3.
2
Let a = 26 - 7. What is the remainder when a is divided by 11?
8
What is the remainder when 32 is divided by (-1)/(5/(-65)) - 4?
5
Suppose -3*x - 2*x = -85. What is the remainder when 82 is divided by x*((-1 - -5) + -3)?
14
Suppose 3*f - 113 - 136 = 0. Calculate the remainder when f is divided by 17.
15
Let g(t) = t**3 + 4*t**2 + t - 2. Let x be g(-4). Let r(j) = -j**2 - 6*j + 2. Calculate the remainder when 2 is divided by r(x).
0
Suppose w - 14 = 3*g + 1, -3*g = -2*w + 24. Suppose 0 = -r + 19 - 3. Calculate the remainder when r is divided by w.
7
Let r be -2*2/(12/(-9)). Suppose r*w - u - 62 = -0*u, w + 5*u = -6. Suppose 23 - 2 = 3*i. Calculate the remainder when w is divided by i.
5
Let s = -34 - -43. What is the remainder when 34 is divided by s?
7
Suppose -3*c - 3*p + 70 = -2*p, -117 = -5*c - 2*p. Calculate the remainder when 45 is divided by c.
22
Let r(f) = f**3 + 11*f**2 + 4*f + 9. Calculate the remainder when r(-10) is divided by 12.
9
Let h(b) = -b**2 - 5*b - 2. Let t be h(-3). Suppose -n - 2*q = -17, -t*q = 4*n - 43 - 29. What is the remainder when 74 is divided by n?
17
Let t be 4/8*(-86 - -2). Calculate the remainder when 22 is divided by (-2)/(-7) + (-240)/t.
4
Let p be (-18)/(-14) + 2/(-7). Let l be (2/4)/(4/(-32)). Calculate the remainder when (l/1)/(p/(-7)) is divided by 15.
13
Suppose 3*u = 0, 2*u = 2*a - u - 66. Suppose -4*w + a = -7. Suppose 0 = -6*d + 22 + 14. Calculate the remainder when w is divided by d.
4
Let s be 14/49 + 164/14. Suppose -3*t + 2*t = z, -t = 4*z - s. Calculate the remainder when 7 is divided by z.
3
Let z(n) be the third derivative of -n**5/60 - 3*n**4/8 - 3*n**3/2 - n**2. Calculate the remainder when 17 is divided by z(-6).
8
Let r = 57 - -1. Calculate the remainder when r is divided by 15.
13
Suppose -41*z - 260 = -45*z. Calculate the remainder when z is divided by 17.
14
Let h be ((-8)/(-14))/((-10)/(-35)). Calculate the remainder when 11 + ((-2)/h - 1) is divided by 3.
0
Let k be (-16)/(-6) - 2/(-6). Calculate the remainder when 6 is divided by ((2 - 2) + k)*1.
0
Calculate the remainder when 5/(-2) + 3 - 169/(-2) is divided by 8.
5
Suppose 0 = 2*b - 3*j + 7*j - 14, b - 2*j = 23. Calculate the remainder when 58 is divided by b.
13
Let h(l) = 7 - 5 + 5*l - 5. Calculate the remainder when 66 is divided by h(4).
15
Suppose -5*k - 22 = -3*v + 81, -3*k - 15 = 0. What is the remainder when v is divided by 15?
11
Let j(s) = -7*s**2 + s. Let q be j(-2). Let u = -20 - q. What is the remainder when 27 is divided by u?
7
Suppose -5 = -2*o + 7. Let k be 1 + -3*2/(-3). Suppose 42 = k*i + 12. What is the remainder when i is divided by o?
4
Let j = -20 + 42. Calculate the remainder when 43 is divided by j.
21
Suppose 0 = b - 3*b - 280. Calculate the remainder when (1 - b)*(-7)/(-21) is divided by 16.
15
Suppose -105*q = -103*q - 100. Calculate the remainder when q is divided by (2 + 0)*(-4 + 17).
24
Suppose 0 = -5*i + 2*i + 294. What is the remainder when i is divided by 11?
10
Suppose -5*i + 11*i - 180 = 0. Calculate the remainder when 55 is divided by i.
25
Suppose -4*m - 43 + 10 = b, 4*m = 4*b + 32. What is the remainder when 37 is divided by (-2)/b - (-896)/91?
7
Suppose -5*j - 25 = -0*j. Let g = 10 + j. Suppose g*d + 2*k + 12 - 60 = 0, -2*d + 4*k = 0. Calculate the remainder when 22 is divided by d.
6
Suppose 8*a = 519 + 89. What is the remainder when a is divided by 20?
16
Let f = 97 + -54. Let i(a) = 3*a**2 + 4*a + 1. Let y(g) = -2*g**2 - 3*g - 1. Let o(v) = 3*i(v) + 4*y(v). What is the remainder when f is divided by o(-4)?
13
Suppose 0*w + 57 = 3*w. What is the remainder when 31 is divided by w?
12
Let m(v) = 4*v - 7. Calculate the remainder when m(6) is divided by 4.
1
Suppose -19 - 5 = 3*t. What is the remainder when 42 is divided by 17 + (t/2)/2?
12
Suppose -8 = 4*r, s + 1 = -5*r - 5. Calculate the remainder when 5 is divided by s.
1
Suppose -4*s + 3*s - 3 = 0. Let n be 0 + 1 - (-8)/1. Let i = n + s. Calculate the remainder when 17 is divided by i.
5
Let n = 14 + -3. Calculate the remainder when n is divided by 1 + (1 - (-3 + 1)).
3
Suppose -l + 3*l = -28. Let v be 4/l + (-63)/(-49). What is the remainder when 34 is divided by 37/3 - v/3?
10
Suppose -10 = -3*l + 20. Calculate the remainder when 28 is divided by l.
8
Calculate the remainder when (-5 - -2) + 32 + 3 is divided by (-1 - -34)*(-1)/(-3).
10
Suppose -o = -5*o - 4*b - 20, -5*o + 5*b + 25 = 0. Let j be o - -2*(-1)/2. Let u = 52 + j. What is the remainder when u is divided by 13?
12
Let m be 4 - 4 - 1*-10. Suppose -14*x - m = -19*x. What is the remainder when 5 is divided by x?
1
Suppose -o - 3 = -2*o. Suppose -22 = -o*q + 17. Suppose 2*p = 2*i - 10, 2*i - 6*i - 4*p = -20. Calculate the remainder when q is divided by i.
3
Let c be 10/3 + (-1)/3. Suppose -6*b + c*b = r + 2, -r = 5*b + 12. What is the remainder when r is divided by 7?
6
Let j(a) = a**2 - 3*a - 3. Let u be j(4). Suppose 0*o = 2*o + x + u, x = o + 2. What is the remainder when 10 is divided by (-1 - (-4 + o)) + 0?
2
Let h = -3 - -4. Let u be (1/3)/((-1)/(-18)). Let g = -5 + u. Calculate the remainder when h is divided by g.
0
Let f = -5 - -16. Let h = -6 + 8. Suppose -8*a + 3*a = h*k - 45, 4*a = -k + 24. Calculate the remainder when k is divided by f.
9
Let h(j) = -j**3 + 5*j**2 - 3*j + 6. What is the remainder when 26 is divided by h(3)?
11
Suppose -6*h + 56 = -2*h. Calculate the remainder when h is divided by 5.
4
Let k = 110 + -94. Calculate the remainder when k is divided by 6.
4
Let v(y) = 12*y**2 - 4*y + 3. Suppose 0 = 2*c - 5 + 1. Suppose 19 = 4*k - 41. Wh