e -9*v = -13*v + k. What is the remainder when v is divided by a(5)?
2
Suppose 2*z = 4*y + 230, -5*z + 69*y - 67*y = -583. Let u = 9 + 15. Calculate the remainder when z is divided by u.
21
Let c be (233/4)/((-1)/4). Let v be 3 - 0 - c/1. Suppose -8*s + v = -4*s. Calculate the remainder when s is divided by 20.
19
Suppose -37*h - 140 = -42*h. Suppose -108 = -5*l - h. Calculate the remainder when l is divided by 6.
4
Calculate the remainder when 82 is divided by 40 + (-40)/(-120)*(-18 + 0).
14
Let o = 7 - 6. Let j(a) = -25*a + 4 - 7 + o. What is the remainder when j(-2) is divided by 17?
14
Let q(v) = 2*v**2 - 130*v - 111. What is the remainder when 32 is divided by q(66)?
11
Suppose -774 = -x + 4*k, 5*x - 2*k - 3311 = 469. What is the remainder when x is divided by 54?
52
Let i be (-4 - -1)*68/(-6). Let d = 23 - i. Let j = -7 - d. What is the remainder when 10 is divided by j?
2
Suppose 121 - 17 = 4*p. Let v = -201 - -348. Suppose k + 2*k = v. Calculate the remainder when k is divided by p.
23
Suppose -2*c = -3*a - 382, 4*c + 3*a - 4*a = 784. What is the remainder when c is divided by 66?
65
Suppose 3*l - 3 = 24. Let i = 3 - l. Calculate the remainder when 12 is divided by -4 + 5 - (i - 0).
5
Let x be 6/(-21) + (-58)/(-7). Suppose -x*y + 114 = -2*y. What is the remainder when 73 is divided by y?
16
Suppose -2*d + 2 = g, -2*d + 3 - 5 = -g. Suppose -24 = 26*u - 431 + 173. What is the remainder when 6*(1 + 3/g) is divided by u?
6
Let d = -17 - -56. Suppose -4*l + d = 3*j, l - 5*j = -0*l + 27. What is the remainder when 46 is divided by l?
10
Let v = 176 + -167. What is the remainder when 40 is divided by v?
4
What is the remainder when 68 is divided by (36/10)/((-5)/(-50))?
32
Let l = -203 - -251. What is the remainder when l is divided by 25?
23
Suppose 5*q = -c + 230, 19 - 65 = -q + 4*c. Calculate the remainder when q is divided by 26.
20
Suppose 9*p - 443 = 196. Calculate the remainder when 150 is divided by p.
8
Let b(l) = -l**2 + 10*l - 9. Let s be b(6). Suppose -22*r = -s*r - 1771. What is the remainder when r is divided by 64?
61
Calculate the remainder when 894 is divided by ((-12)/(-1))/2 + 54 + 9.
66
Calculate the remainder when 46 is divided by 6*((-6)/(-9) + 1).
6
What is the remainder when 247 is divided by (-51)/68 + 102/8?
7
What is the remainder when 289 is divided by (-6444)/(-132) + (24/33)/4?
44
Let l(g) = -g**3 + 3*g**2 + 2*g + 4. Let c(y) = y**3 - 2*y**2 - y - 3. Let j(i) = -4*c(i) - 3*l(i). What is the remainder when 53 is divided by j(-2)?
5
Let l(v) = -v + 7. Let g be l(5). Suppose 0 = -0*r - 4*r - g*p + 196, 0 = -4*r + 5*p + 210. Calculate the remainder when r is divided by 17.
16
Let n(o) = o**2 + 17*o - 43. Suppose -4*q + 194 = 3*v + 16, 5*q + 355 = 5*v. What is the remainder when v is divided by n(-20)?
15
Suppose -3*x = 11*k - 14*k - 651, 0 = 5*x + 4*k - 1121. Calculate the remainder when x is divided by 58.
47
Let r(t) = 2 + 0 + t**2 + 6*t**2 - 4 + 3*t. Let q be r(1). Let k = -1 + q. Calculate the remainder when 32 is divided by k.
4
Suppose 12 + 72 = 3*c. Let a = c + -13. Let q = a - -17. What is the remainder when q is divided by 12?
8
Let u be (-10)/(-3)*(23 + -2). Let w = u - -7. Calculate the remainder when w is divided by 10/((-2)/(-8)*2).
17
Suppose o + 4*d - 292 = 0, -o + d - 4*d = -295. Suppose 0*v + 106 = v + 4*n, -3*v + 2*n + o = 0. Calculate the remainder when v is divided by 21.
18
Suppose -4*x + 3*x + 4 = 0. Suppose -2*j + x = -2. Suppose 5*u - 7*u = -6. Calculate the remainder when u is divided by j.
0
Let v = 67 + -35. Let l(a) = -a**3 - 46*a**2 - 43*a + 209. What is the remainder when l(-45) is divided by v?
23
Let m = -88 + 106. Suppose 4*f = 3*f + m. Calculate the remainder when 50 is divided by f.
14
Let x = 135 - 85. What is the remainder when x is divided by 6?
2
Suppose 4*x - m - 6 = 0, 3*x + 5*m - 8*m = 0. Calculate the remainder when 74 is divided by x.
0
Let y(g) = 2*g**2 - 64*g + 133. Calculate the remainder when y(35) is divided by 29.
24
Let x(o) = -o**3 - 3*o - 25. Calculate the remainder when x(-7) is divided by 68.
67
Let v(c) = c**3 + 15*c**2 + c + 19. Let m be v(-15). Suppose -96 = -4*b - m*b. Calculate the remainder when b is divided by 5.
2
Let y = -16 - -20. Let x be 18/(-81) + y/18. Let k(q) = -q + 19. Calculate the remainder when 73 is divided by k(x).
16
Let l(a) = 160 - 6*a - 166 + a. Suppose -3*h + 5*g - 5 = 0, 5*g - 15 = -0*h + 5*h. Calculate the remainder when 55 is divided by l(h).
17
Let t(h) = 4*h**2 - 18*h + 19. Suppose -u - 4*r = u - 58, 5*r = -3*u + 82. Calculate the remainder when t(6) is divided by u.
17
Suppose 8 + 10 = 6*c. Suppose 0 = 4*w - i - 613, c*w - 2*i - 91 = 370. Calculate the remainder when w is divided by 26.
23
Let u(b) = -12*b**3 + 2*b**2 + b - 2. What is the remainder when 26 is divided by u(-1)?
4
Let l be (-2 + 1)/(3/27). Let n = l + 12. Suppose -x + 2*v + 14 = 0, 9 = n*x + v - 33. Calculate the remainder when 27 is divided by x.
13
Let l be (-168)/(-7)*(-4)/(-3). Suppose -3*r + l = -25. Calculate the remainder when 35 is divided by r.
16
Let r(x) = 3*x**2 + 42*x + 9. Let b be r(-17). Calculate the remainder when 70 is divided by b/(-12)*(-8)/6.
16
Let d(q) = 2*q - 13. Let a be d(7). Let g be a/5 + (-698)/(-10). Suppose z - 3*y = g, 3*y = 3*z + z - 262. What is the remainder when z is divided by 22?
20
Let d = 3 - 2. What is the remainder when 87/27 + 26/585*-5 is divided by d?
0
Suppose 0*i - 3*i = -9. Suppose 0*r - d + 1 = r, i*d = r - 17. What is the remainder when 28 is divided by r?
3
What is the remainder when 61 is divided by (16 - -1) + 12/((-72)/(-42))?
13
Calculate the remainder when (-16)/(-56) + 901/7 is divided by 26.
25
Suppose 0*x = -4*x + 100. Let p(m) = -2*m + 12. Let a be p(6). Suppose a = 2*v - 235 + 87. What is the remainder when v is divided by x?
24
Suppose -4*y - 22 = 34. Calculate the remainder when (-184)/y*(-4 - 30/(-4)) is divided by 12.
10
Suppose 4*n - 164 = n - y, 5*n - 278 = 3*y. Calculate the remainder when n is divided by (-1 - (-66)/9)*3.
17
Let s = 42 - 38. Suppose -2*g - 3*p + 3 = 0, -g = -0*p + s*p + 1. What is the remainder when 12 is divided by g?
0
Suppose -47 = o - 23. Let m = o - -67. What is the remainder when m is divided by 5?
3
Let g(w) be the first derivative of -11*w**2/2 - 5*w + 4. What is the remainder when g(-4) is divided by 10?
9
Suppose 59*f = 60*f - 9. What is the remainder when 165 is divided by f?
3
Let w(o) be the second derivative of -o**4/12 - 2*o**3 - o**2/2 - 10*o. Calculate the remainder when w(-9) is divided by 7.
5
Let w be (-1)/5 + (-4)/5. Calculate the remainder when ((-132)/(-15))/((-6)/(-15)) is divided by w*2*-7 + -2.
10
Let c be (8/28)/(1/7). Suppose 5*z + l - 268 = -19, -3*l = c*z - 97. Let i = z + -29. What is the remainder when i is divided by 12?
9
Suppose -49*i - 308 = -60*i. Calculate the remainder when 1455 is divided by i.
27
Let n(v) = -3 + 31*v - v**2 + 2*v**3 - 12*v - 19*v. What is the remainder when n(2) is divided by 5?
4
Let u(n) = -2*n**3 + 26*n**2 - 11*n - 148. Calculate the remainder when 2/7 - (-582)/21 is divided by u(12).
4
Suppose -20 = 4*r - 2*u - 4, u = 3*r + 14. Let t be 1 - 6 - -2 - -16. What is the remainder when 10*(-3)/(r/t) is divided by 22?
21
Suppose -3*w = 3*u - 615, -28*u = -26*u - 2*w - 418. What is the remainder when u is divided by 30?
27
Let q(z) = z**3 + 15*z**2 - 18*z - 9. Let y be (-3 - (-1 - 1))/((-2)/(-32)). What is the remainder when 66 is divided by q(y)?
20
Suppose 12*d - 9*d - 1371 = 0. What is the remainder when d is divided by 17?
15
Suppose 5*h + 459 = 14*h. Calculate the remainder when 145 is divided by h.
43
Suppose 44 = 5*w - 6. Suppose 34 = 2*x - 42. What is the remainder when x is divided by w?
8
Let g(m) = m**2 + m + 5. Let n = -10 - -13. Suppose -2*z = n*b - 22, -2*z + 5*b + 24 = -z. What is the remainder when g(-5) is divided by z?
11
Let y(c) = c**3 + c**2 - c + 1. Let v(k) = 6*k**3 - 4*k**2 + k + 13. Let b(i) = -v(i) + 5*y(i). What is the remainder when b(7) is divided by 17?
14
Let a(y) = 3*y**3 + 24*y**2 + 17*y + 1. Calculate the remainder when 30 is divided by a(-7).
1
Let o be 126/15 + 6/(-15). Suppose -3*g + 0*j + 2*j = -o, 0 = 2*g + 5*j - 18. Suppose 2 = -4*k + 58. What is the remainder when k is divided by g?