 r(y) be the second derivative of -11*y**3/2 + 151*y**2 - 5*y - 9. Calculate the remainder when r(7) is divided by z(1).
21
Suppose q = 4*a + 15, -4*q = -7*a + 4*a - 47. Let z = -17 + q. Let t = 5 - z. What is the remainder when 20 is divided by t?
9
Let k = -8575 + 8616. What is the remainder when 147 is divided by k?
24
Let s be ((-1199)/44*2)/((-2)/(-12)). Let t = 337 + s. Let g(q) = 4*q - 1. Calculate the remainder when g(4) is divided by t.
5
Let d(p) = 22*p + 59. Let g = 51 - 51. Calculate the remainder when d(g) is divided by 2/(-3)*(-29 + -1).
19
Let v = 96 - 74. Let j = 1234 + -1170. Calculate the remainder when j is divided by v.
20
Let t(p) = 12*p**2 + p. Suppose 1360 = 7*f + 10*f. Suppose 4*i = 4*k + f, -2*i - 6*k = -3*k - 55. What is the remainder when t(3) is divided by i?
19
Let o(k) = 2*k + 33. Suppose 4*b = 4*b + 5*b. Let n(r) = -r**2 + 8*r + 39. What is the remainder when n(b) is divided by o(-11)?
6
Suppose 3*j = -9*j + 3*j. Suppose -y - 116 = -2*p - 42, -y - 2 = j. Calculate the remainder when p is divided by 19.
17
Let y(u) = 6*u + 2. Let b = 2 + 3. What is the remainder when y(b) is divided by (2/6)/((56/14)/144)?
8
Suppose -561 = -5*z + 2*z. Suppose 30*v - 113 - z = 0. Calculate the remainder when 17 is divided by v.
7
Suppose -5296*u + 5214*u + 1409 = -395. Let z = -16 - -36. Calculate the remainder when u is divided by z.
2
Let u = -30 + 33. Suppose 8*l - u = 69. What is the remainder when 54 is divided by l/(-6)*(2 - -38)/(-4)?
9
Calculate the remainder when 215 is divided by (12/14)/(24/(-168)) + 40.
11
Suppose -3*w + 6 = 0, -8*s - 4*w + 823 = -153. What is the remainder when 321 is divided by s?
79
Suppose 0 = 9*h - 154 - 359. Suppose -d - u = -1 - 1, 2*d - u + 2 = 0. Suppose t - 15 - 5 = d. What is the remainder when h is divided by t?
17
Let n = -121 - 994. What is the remainder when 4/6 + n/(-15) is divided by 37?
1
Let n = -638 - -438. Calculate the remainder when 270 is divided by n/2300 - (-784)/23.
32
Let y = -94 + 92. What is the remainder when 22 is divided by 13/(156/(-18))*y*3?
4
Suppose -2*u + 3*x = 2*x - 162, -5*u = 5*x - 420. Suppose -71*q - 374 = -u*q. Calculate the remainder when 61 is divided by q.
27
Let i(t) = -4*t**3 - 2*t**2 - 7*t - 8. Let w(v) = v**3 + 14*v**2 + 22*v - 1. Calculate the remainder when i(-3) is divided by w(-12).
11
Let m(j) = -745*j - 8905. Suppose -5*n + 60 = -2*n. What is the remainder when m(-12) is divided by n?
15
Suppose -3*f + 10*f - 3339 = 0. Suppose 3*b - f = 3*x - 7*x, -456 = -3*b + 3*x. Calculate the remainder when b is divided by 6.
5
Suppose 0 = 3*d + 2*o - 107, -4*d + 3*d = 3*o - 45. Let m(f) = f**3 - 50*f**2 + 18*f - 806. What is the remainder when m(50) is divided by d?
28
Calculate the remainder when 80 is divided by ((-108160)/234)/(-16) + 2/18.
22
Let g be 2*4*6/4. Let t(h) = 19 - g + 2*h + 9 + 5. What is the remainder when 123 is divided by t(2)?
23
Suppose 8 = 8*k - 4*k - 4*d, d = -k + 12. Let x(u) = -301*u + 2711. Let i be x(9). Suppose 0 = i*b - k*b + 35. What is the remainder when 26 is divided by b?
5
Suppose 15*g - 217 = 608. Suppose -g*c - 302 = -57*c. What is the remainder when c is divided by 19?
18
Let l(q) = 24*q - 18. Let m be l(4). Suppose -9*j = -15*j + m. Suppose -4*r + 307 - 7 = 0. Calculate the remainder when r is divided by j.
10
Let a = -508 + 512. Suppose 0 = 2*h - u - 3*u - 262, 4*h = -a*u + 488. Calculate the remainder when h is divided by 32.
29
Let j(n) = 13*n + 2. Let l be j(10). Let y be l*((-2)/11 - 150/(-220)). Suppose y*t = 62*t + 92. What is the remainder when 112 is divided by t?
20
Suppose 5*u - 98 = 4*f, 82 = 2*u + 3*u + 4*f. Suppose 5*w - 2*i - 30 = 3*i, -w + 4*i = -u. Let d = w + 8. Calculate the remainder when 28 is divided by d.
8
Let f = -3285 - -3318. What is the remainder when 4058 is divided by f?
32
Let h = -457 - -949. Let l = -480 + h. What is the remainder when l is divided by 6?
0
Let g(z) = -4*z - 20. Suppose -2*w + 1 = -19. Let f be 3/(15/w*2/(-6)). Calculate the remainder when g(f) is divided by 2.
0
Let q = -145 - -145. Suppose q = o + 17*z - 12*z - 60, -5*o - z + 204 = 0. Calculate the remainder when o is divided by 6.
4
Suppose -482 = -19*m - 26. Calculate the remainder when 134 is divided by m.
14
Calculate the remainder when ((-2280)/(-18))/(-20)*-33 is divided by 56.
41
Suppose -5*i + g = -440, -g + 59 = i - 35. Calculate the remainder when i is divided by 18.
17
Suppose -2*s = -5*b - 3016, -8 = -11*b + 13*b. What is the remainder when (s/(-35))/(((-6)/5)/3) is divided by 10?
7
Suppose 0 = -0*x - 2*x + 90. Let n(q) = -q**3 + 106*q**2 + 210*q + 664. Calculate the remainder when x is divided by n(108).
13
What is the remainder when 494 is divided by ((-84)/140*-1)/((-3)/(-5))?
0
Suppose 3127 = 29*x - 93559. What is the remainder when x is divided by 1661?
12
Let d(l) = -l**3 + 12*l**2 - 20*l + 17. Let y be d(9). Let w = y - 67. Let a = -41 - -65. What is the remainder when a is divided by w?
11
Suppose -16*u - 17580 = -42*u - 4*u. What is the remainder when u is divided by 98?
96
Suppose 219 = 2*h + 5*g, 105 = h + 4*g - 3*g. Let j(y) = y**2 - y - 4. Suppose 0 = -6*s + 30 + 6. Calculate the remainder when h is divided by j(s).
24
Let c = 69 + -69. Calculate the remainder when (0 - (-7 - c))/((-3)/(-15)) is divided by (-2 + 5)*12/4.
8
Suppose 5*j + 2*r + 1734 = 0, -333 = 13*j - 12*j + 5*r. Let d = -229 - j. What is the remainder when d is divided by 43?
33
Let t(h) be the second derivative of h**4/4 + 7*h**3/6 + 6*h**2 + 14*h. Calculate the remainder when 51 is divided by t(-3).
15
Suppose 0 = -47*n + 45*n + 14. Suppose -4*z = n*z + z. Suppose z = -2*o - 0*o + 98. Calculate the remainder when o is divided by 17.
15
Suppose 23*l - 31*l + 64 = 0. What is the remainder when 67 is divided by (-76 + 56)*(1 + (-14)/l)?
7
Let p = -5179 + 6185. Calculate the remainder when p is divided by 7.
5
What is the remainder when 328 is divided by (13 - (0 - 0)) + 149 + -140?
20
Suppose 5*g - 8*g + 3 = 0, 0 = -t + 4*g + 12. What is the remainder when 141 is divided by 516/t - 1/4?
13
Let m be (32 + -27)*(-106)/(-5). Let f = -95 + m. Calculate the remainder when 150 is divided by f.
7
Suppose 0 = -5*g + 5*b + 145, -b + 3*b = 4. What is the remainder when g is divided by (-984)/(-88) - 7/((-154)/(-4))?
9
Suppose 7*a = 5*v + 77, -5*a - 17 + 19 = 4*v. Suppose 4*u - 96 = -32. What is the remainder when u is divided by a?
4
Suppose -78 = -4*j + 10. Calculate the remainder when 3*((-12)/27 + (-975)/(-27)) is divided by j.
19
Suppose 19 = 11*p - 29 + 4. What is the remainder when 87 is divided by p?
3
Let d = 629 - 1022. Let p = -387 - d. Calculate the remainder when 12 is divided by p.
0
Let p be (0 - -1)/(5/(-965)). Let a = 205 + p. What is the remainder when -2*(-1 + 30/(-4)) is divided by a?
5
Suppose 3*w = 7*w. Suppose w*o = -2*o - 10. Calculate the remainder when 40 is divided by 1/((25/(-35))/o).
5
Let z(q) = -34*q**3 + 13*q + 0*q + 8*q**2 + 35*q**3 + q + 55. What is the remainder when 297 is divided by z(-5)?
57
Suppose -5*y = 3*x - 21, 3 = -y - 3*x + 12. Suppose -2*c + 28 = -4*f, 4*f = 2 + 10. Calculate the remainder when c is divided by (y - (-6 - -2)) + (5 - 1).
9
Suppose 2*f = -5*f + 4*f + 417. What is the remainder when 275 is divided by f?
136
Suppose -3991*x + 3988*x = -10314. What is the remainder when x is divided by 40?
38
Suppose 0 = -6*k - 61 + 169. Let f be (32/(-10))/(12/(-30)). Suppose 5*p = s - 9 - f, -4*p = s - 44. Calculate the remainder when s is divided by k.
14
Let b(x) be the third derivative of 91*x**4/12 - 37*x**3/6 + 58*x**2. Calculate the remainder when b(3) is divided by 32.
29
Let b(q) = -q**3 - 31*q**2 - 83*q - 2516. Suppose -2*s + d + 47 = 0, -5*s + 126 = -3*d + 6. What is the remainder when b(-31) is divided by s?
15
Let p(o) = 8*o. Let g be ((-11925)/50)/(2/(-4)). Suppose 22*u - g + 81 = 0. Calculate the remainder when p(4) is divided by u.
14
Suppose 2*f = 4*l - 244, 0*l = -4*f - 3*l - 532. Let q = -118 - f. Suppose -q*t = -13*t + 22. Calculate the remainder when 86 is divided by t.
20
Suppose -5*f + 2*s + 42183 = 0, 6*s = 60*f - 55*f - 42159. Calculate the remainder when f is divided by 201.
198
Suppose -3*d + 1296 = 3*o, -o + 437*d - 435*d = -417. What is the remainder when 1853 is divid