divided by 106?
86
Suppose 83*b - 8809 = 3558. What is the remainder when b is divided by 55?
39
Suppose n - 5*i = 892, -6*n + 2*i - 1748 = -8*n. Calculate the remainder when n is divided by 20.
17
Suppose -5*z = -8*z - 5*b + 584, 5*z - 4*b = 924. Suppose -z - 28 = 6*r. Let w = 48 + r. Calculate the remainder when 18 is divided by w.
6
Let r(j) = -3*j + 18. Let v be r(6). Let s(i) = 116 + 4*i + v*i - 96. What is the remainder when s(12) is divided by 23?
22
Suppose 2307 = 22*v - 6889. What is the remainder when v is divided by 17?
10
Let u(k) = -k**3 + 10*k**2 + 5*k - 3. Let x = -666 + 697. What is the remainder when u(9) is divided by x?
30
Suppose 0 = -6*k + 11*k - 2*l - 3095, 2*l = 3*k - 1857. What is the remainder when k is divided by 8?
3
Suppose 6*x + 42 = 0, -68*h = -64*h + x - 221. What is the remainder when (-1 - (-1 - -2)) + 168 is divided by h?
52
Let q(h) = h**2 - 6*h + 2. Let u be q(4). Let z be u/(-21) + 2807/(-49). Let i = z + 110. What is the remainder when 157 is divided by i?
51
Let s(a) = 7*a**2 + 2*a + 1. Suppose -7*r = -3*r + 4. Calculate the remainder when s(r) is divided by (15/(-10) - 0)/(9/(-12)).
0
Let o(n) = -n**3 + 29*n**2 - 86*n + 106. What is the remainder when o(25) is divided by 149?
9
Let v(z) = z**3 + 59*z**2 - 7*z - 76. Calculate the remainder when v(-55) is divided by 214.
211
Suppose 246 = h - i, -20 = -0*i - 4*i. What is the remainder when h is divided by 67?
50
Let d = 25 + 10. Let w(v) = 2*v + 19. Let j be w(13). Let n = 63 - j. What is the remainder when d is divided by n?
17
Calculate the remainder when 760 is divided by 17352/482 + -24 + -1.
1
What is the remainder when 352 is divided by 119 + (48/(-180))/((-12)/90)?
110
Let v(b) = b**3 + 17*b**2 - 16*b + 14. Let n = 102 - 95. Suppose -2*z = -m - n, 2*z + 24 = -5*m - 71. Calculate the remainder when v(m) is divided by 36.
34
Let v(h) = -h**3 - 15*h**2 - 16*h - 2. Let w be v(-14). Suppose -1551 = -w*a - 7*a. Calculate the remainder when 140 is divided by a.
46
What is the remainder when 854 is divided by -12 + (-590)/(-50) + (306/10)/3?
4
Let l be 421 + (1 - -1) - -2. Suppose 5*m = -0*m + l. Let h(i) = 3*i**2 + 7*i - 19. What is the remainder when m is divided by h(3)?
27
Let w(t) = -t**3 - 11*t**2 + t - 30. Let y be w(-12). Suppose y = 3*g + 15. Calculate the remainder when g is divided by 40/7 - (-6)/21.
5
Suppose -269*h - 32*h + 11438 = 0. Calculate the remainder when 222/4*(-1 + 3) is divided by h.
35
Let o(z) = z**2 - 83*z - 2343. What is the remainder when o(-25) is divided by 17?
0
Suppose -1093 = -2*y + 3*d, 2*d = -5*y + 7*d + 2735. Let k = -500 + y. Calculate the remainder when k is divided by 13.
9
Suppose -4*s + 3*p + 113 = 0, 0 = 3*s + 7*p - 11*p - 83. Calculate the remainder when 4287 is divided by s.
24
Let x = -36146 - -36154. Let z(d) = -d**3 - d**2 + 15. Calculate the remainder when z(0) is divided by x.
7
Let n(a) = a**3 - 20*a**2 - 20*a + 13. Suppose -3*q + 4*r + 193 = 0, q + 2*r = -4*q + 313. What is the remainder when q is divided by n(21)?
29
Let b(r) = -13*r - 157. Suppose 0 = 5*q + 2*o + 4, -q = -6*q - 4*o - 8. Suppose 2*x + x - 15 = q. Calculate the remainder when b(-13) is divided by x.
2
Suppose 10*g - 1135 = 15*g. Let c = g + 260. What is the remainder when c is divided by 13?
7
Let w(d) = -d - 4. Let g be w(9). Let r = -4 - g. What is the remainder when 2/6*(181 + -69 - 55) is divided by r?
1
Suppose k + 292 = 8*c - 6*c, 3*c = 4*k + 1173. Calculate the remainder when (-4)/((-12)/k*-2) is divided by 19.
11
What is the remainder when (-1475)/10*6/(-5) is divided by 96?
81
Suppose -4 = 3*o + 2*n - 18, -4*o + 13 = -3*n. Suppose -5*j = -4*q + 28, 0 = -o*q - 4*j + 63 + 1. Calculate the remainder when q is divided by 5.
2
Let j(q) = q - 2. Let o(b) = 25*b + 12. Let c(a) = -4*j(a) + o(a). Let l be ((-56)/35)/((-4)/10). What is the remainder when c(l) is divided by 21?
20
Let y(m) = m**3 - 34*m**2 + 118*m + 99. Suppose -3*w + 200 = 4*b, -3*w + b + b + 170 = 0. Let s = w - 39. Calculate the remainder when y(30) is divided by s.
18
Suppose -3*r - 45 - 15 = 0. Suppose 10*f + 124 = -6. Let z = f - r. Calculate the remainder when 25 is divided by z.
4
Let o(h) = -2*h**3 + 18*h**2 + 21*h - 1. Let m(j) = j**2 - j + 3. What is the remainder when m(11) is divided by o(10)?
5
Suppose -2573 + 2586 = c. Calculate the remainder when 336 is divided by c.
11
Suppose -39 - 25 = -8*c. Suppose 2 = c*k - 22. Let v(f) = 2*f**3 - 5*f**2 + 4*f - 3. Calculate the remainder when k is divided by v(2).
0
Let v be -1*(0 + 2 + -265). Let p = -184 + v. What is the remainder when p is divided by (2/24*-2)/(2/(-4))*81?
25
Let d(q) = -3*q**3 + 2*q + 3 + 3*q**2 + 14 - 11*q**3 + 2*q. Let f be d(-4). Suppose -9*s = -4*s - f. What is the remainder when s is divided by 24?
21
Suppose 44*k - 5290 = -2*p + 47*k, 0 = -3*p + 4*k + 7935. What is the remainder when p is divided by 18?
17
Suppose -22*h = -33*h - 44. What is the remainder when ((-86)/h)/(2 + 18/(-12)) is divided by (4 - 3)/((-2)/(-10))?
3
Let w = 141 - 135. Suppose 0 = -10*x + 12*x + 6. Calculate the remainder when 0/((-6)/x) - (-12)/1 is divided by w.
0
Let i = 2358 - 2349. Suppose -n = -0*n + 3*h - 3, -n = 2*h - 2. Let j(m) = -m**3 + m + 35. What is the remainder when j(n) is divided by i?
8
Let k(f) be the third derivative of f**6/120 - f**5/60 - f**4/8 + 77*f**3/6 - 58*f**2 - 1. Calculate the remainder when k(0) is divided by 16.
13
What is the remainder when 352 is divided by ((-153)/(-6))/((-33)/(-66))?
46
Let g(b) = 174*b - 4 - 6*b**3 + 2*b**2 - 171*b - 2*b**3. Let x be g(1). Let u(l) = 2*l**2 + 15*l + 17. Calculate the remainder when 38 is divided by u(x).
8
Let y(j) = j + 6. Let k be y(4). Let m = k + 31. What is the remainder when m is divided by (6 + 4 - 4)*1?
5
Suppose 2*m = -5*z - 18, 2*m - 2 = -0. Let t be 1/(z/3) - (-8294)/(-88). Let q = -83 - t. Calculate the remainder when q is divided by 2.
0
Suppose 0 = -38*h + 34*h - 28. What is the remainder when 103 + (h - 14)/7 is divided by 6?
4
Suppose 304 = 7*w - 186. Suppose n + w = 8*n. What is the remainder when ((-21)/(-5) + -3)*n is divided by 5?
2
Let h(k) be the first derivative of -27*k**2/2 - 223*k - 59. Calculate the remainder when 252 is divided by h(-9).
12
Let h(c) = 6*c + 2 - 7*c + 4 + 0. Let b = -8767 - -8770. What is the remainder when h(0) is divided by b?
0
Let b = -3 - -7. Let v be 0 + -4 + 0 + b + 152. Let y = v - 37. Calculate the remainder when y is divided by 29.
28
What is the remainder when 855 is divided by ((-8)/10)/((-7329)/7315 + (-16 - -17))?
19
Suppose -g - 179 = -5*z - 643, 3*g - 1326 = 4*z. Calculate the remainder when g is divided by 54.
2
Let i = 8767 + -6954. Calculate the remainder when i is divided by 33.
31
What is the remainder when ((-1)/2)/(2/(-104)) is divided by (-260)/(-84) + (-16)/2 + 13114/1659?
2
Suppose -10*w + 18 = -7*w. What is the remainder when ((-15)/(-10))/((-12)/(-88)) is divided by w?
5
Let d be 4 + -1 + -3 - -40. Let b be 5/d - (-87)/8. Let c = b + 4. Calculate the remainder when 58 is divided by c.
13
What is the remainder when 9 + (136/(-16))/((-4)/208) is divided by 111?
7
Suppose -2*i = -i + 2*r - 10, 2*i - 22 = -2*r. Let l = 19391 - 19318. What is the remainder when l is divided by 2/(-8) - (-231)/i?
16
Let p(u) = u**3 + 5*u**2 + 46*u + 135. Calculate the remainder when 5471 is divided by p(-3).
11
Let n = -37 + 71. What is the remainder when (((-187)/77)/((-3)/30))/((-2)/(-7)) is divided by n?
17
Suppose 9*c - 432 = c. Let f be c/14 - 2/(-14). Suppose f*l - 28 = -0*a + 3*a, l = 5*a - 10. What is the remainder when 58 is divided by l?
8
Let o(x) = 385*x**3 - x**2 - 2*x. Let r be o(-1). Let j = r - -411. What is the remainder when j is divided by 18?
9
Suppose 0 = 3643*q - 3645*q + 72. What is the remainder when 2086 is divided by q?
34
Let y(t) = 32*t**2 - 215*t - 16. Suppose 0 = 4*q - 4*p + p - 477, -5*q + 605 = 5*p. Let j = 257 - q. What is the remainder when j is divided by y(7)?
43
Let i(v) = v**2 + 11*v - 56. Let c = -35 - -40. Calculate the remainder when i(c) is divided by 13.
11
What is the remainder when 6092/8*4 + 1*(-10 + 7) is divided by 87?
85
Let i be 5/2*2 + 7 + -2. Suppose -i*q + 13*q = 390. What is the remainder when q is divided by 6?
4
Let n(c) = -66*c - 180. What i