 What is the remainder when 13 is divided by z?
3
Suppose -i = -4 + 8. Let k = i + 21. What is the remainder when 64 is divided by k?
13
Let s = 713 - 660. Calculate the remainder when s is divided by 32.
21
Suppose 4*t - 4 + 0 = 0, -t = -4*q + 279. Suppose -2*w + 4*p + 22 = 2*p, 2*p + q = 5*w. Calculate the remainder when 63 is divided by w.
15
Suppose -2*f = 3*b - 29, 21*b + 3*f + 24 = 24*b. Calculate the remainder when 51 is divided by b.
6
Let h(b) be the third derivative of -b**5/60 - 5*b**4/8 - 17*b**3/6 + 7*b**2. What is the remainder when h(-11) is divided by 16?
11
Suppose 2*p + 5*z = -22, 5*p + 4*z - z + 36 = 0. What is the remainder when 33 is divided by (0 - p)*(6/2)/3?
3
Calculate the remainder when 23 is divided by (10 - 11) + 7 + 4.
3
Let d be (-2)/(-9) + (-21)/(-27). Let m(c) = 10*c + 1. What is the remainder when (-418)/(-21) + (-5)/(-105)*2 is divided by m(d)?
9
Suppose -311*h + 321*h - 380 = 0. What is the remainder when h is divided by 21?
17
Suppose -453 - 52 = 5*s. Let y = s + 167. Suppose 0*i = 5*i - 5*g - 140, -90 = -5*i - 5*g. What is the remainder when y is divided by i?
20
Suppose -17*h + 607 + 940 = 0. What is the remainder when h is divided by 44?
3
Suppose 0 = k - 0*k + 5*q + 42, 0 = k - q + 60. Let s = k + 81. What is the remainder when 70 is divided by s?
22
Let l = -23 + 28. Suppose -i - 3*i = -28. Calculate the remainder when i is divided by l.
2
Suppose 2*h = -3*a - 0*h + 25, 2*a = h + 12. Suppose -5*t - o = -322, a*t - 2*o - 316 = 2*t. What is the remainder when t is divided by 24?
16
Let d = 384 - 286. Calculate the remainder when d is divided by (25/(-4))/((-4)/16).
23
Suppose 4*h - 2915 = -5*z, h + 3648 = 6*h + 2*z. Let d be (-5)/35 - h/(-14). Suppose 4*q - d = 224. Calculate the remainder when q is divided by 18.
15
Let g(q) = q**3 - 26*q**2 - 28*q + 29. Suppose 0 = -5*r + 20, -2*b - 14 = -4*b - 3*r. What is the remainder when g(27) is divided by b?
0
Suppose -5*w + 23 = 4*x, 3*x + w - 2*w - 41 = 0. Suppose -5*t - x = -32. What is the remainder when 19 is divided by t?
3
Let r be ((-8)/(-4) - 6)*-4. Suppose -4*w + o + 4 = -0*o, -2*o = -2*w + 2. What is the remainder when w/(-2) - (-200)/r is divided by 5?
2
Suppose 2*j + 18 = -2. Let n = -9 + 18. What is the remainder when (-228)/(-14) - j/(-35) is divided by n?
7
What is the remainder when 27/(-225)*5 + 9416/10 is divided by 45?
41
Let l(c) = -c**3 + 11*c**2 - 20*c - 10. Calculate the remainder when 77 is divided by l(8).
11
Suppose 4*w + 48 = x + 8, -5*x = -5*w - 170. What is the remainder when 20 is divided by x/(-176) - (-268)/22?
8
Suppose 39*c = 196*c + 111*c - 2948. Let q = 130 + -91. What is the remainder when q is divided by c?
6
Let s = -8 + 59. Suppose 9*q = 6*q + s. Let n = q + 18. What is the remainder when n is divided by 19?
16
Let r = 193 + -175. Calculate the remainder when 74 is divided by r.
2
Let l(p) = 7*p**3 + 4*p**2 - 4*p + 5. What is the remainder when l(3) is divided by 73?
72
Let u = -325 - -342. What is the remainder when u is divided by 8?
1
Let v be (0 + 4)*21/12. Suppose 0 = 232*a - 224*a. Suppose a*t - v = -t. Calculate the remainder when 18 is divided by t.
4
Let u be (-3)/((-2)/188*3). Let z = u - 53. What is the remainder when z is divided by (-100)/(-150) + 1/(12/268)?
18
Suppose -h = 2*v - 127, -3*h = 1 + 14. Let q = v - 36. Calculate the remainder when q is divided by ((-22)/(-6))/((-2)/(-6)).
8
Let u be (4/(-5))/((-8)/20). Suppose c = -2*r + 39, r - 57 = -2*r - u*c. Suppose -93 = -4*i - r. Calculate the remainder when 33 is divided by i.
15
Calculate the remainder when (-42)/(-15) - 2 - 3255/(-25) is divided by 44.
43
Suppose 0*x + 4*x = 0. Suppose 19 = 2*l + 3*h, x*h + 4*h - 20 = 0. Let g(m) = m**3 - 6*m**2 + m - 4. What is the remainder when g(6) is divided by l?
0
Let v(z) = -3*z**3 + 7*z**2 + 7*z - 17. What is the remainder when v(-4) is divided by 53?
47
Let w(j) = j**2 - 13*j - 38. What is the remainder when 14 is divided by w(-3)?
4
Let a be 5/(-10) - 10/(-4). Let x = a - -1. Suppose -5*g - 3*d + 5 = -3*g, -3*g - x*d + 6 = 0. What is the remainder when g is divided by 1?
0
Let z(b) = b**2 - 7*b + 15. Let k be z(-7). Let n = k - 56. What is the remainder when n is divided by 30?
27
Let s(c) = c**3 + c + 100. Let x be s(0). Let i = x - 66. Calculate the remainder when i is divided by 5.
4
Let y(j) = -j**2 + 15*j - 43. Let o be y(4). Suppose d = 4*d. What is the remainder when d - o/2*-18 is divided by 4?
1
Let w be (-30)/(-70) - 314/14. Let m = 38 + w. Calculate the remainder when 31 is divided by m.
15
Let a be 28/(-8)*(-160)/28. Suppose -5*l + 60 = a. Calculate the remainder when 29 is divided by l.
5
Suppose -3*x + 136 = 73. Let p(z) = -z**2 - 8*z + 21. What is the remainder when x is divided by p(-9)?
9
Let x be (-1 - 2)*4/(-3). Suppose -j - 3*z - 5 = z, -2*z = x*j + 6. Calculate the remainder when j/((-1)/(3 - -12)) is divided by 8.
7
Let a = 298 - 237. What is the remainder when 236 is divided by a?
53
Let x(q) = -3 - q**2 + 16*q - 7*q + 2. Calculate the remainder when 18 is divided by x(8).
4
Let o be (3/2)/((-5)/(-20)). Suppose 3*w - 3*h + o = 150, -3*w = 5*h - 160. Let n(b) = -b + 17. Calculate the remainder when w is divided by n(0).
16
Let o = 144 - -61. Calculate the remainder when o is divided by 70.
65
Let u = -16 - -42. Let z = u + -19. Calculate the remainder when 25 is divided by z.
4
Let m be (1 - -1)*-1*84/56. Let p(f) = 3*f**2 - 10. Calculate the remainder when p(m) is divided by 6.
5
Let v(s) = -s**3 + 9*s**2 - 32. What is the remainder when 89 is divided by v(4)?
41
Let t = -558 - -286. Let f = -145 - t. What is the remainder when f is divided by 26?
23
Let f(s) = s**3 - 23*s**2 - 16*s + 46. What is the remainder when f(24) is divided by 68?
34
Let g = 196 + -174. Calculate the remainder when 43 is divided by g.
21
Let h = -20 - -27. Suppose 2*l - h*l = -265. Suppose -2*i + l = -i. What is the remainder when i is divided by 14?
11
Suppose 15*u - 5 = 16*u, -4*q = -u - 65. Calculate the remainder when 620 is divided by q.
5
Suppose -50*k + 9 = -41*k. Calculate the remainder when 3 is divided by k.
0
Let j = 14 - 9. Suppose -32 = -5*t + u, 5*t - 4*u = 18 + j. Suppose -3*o = -2*l - 258, 3*l = 5*o - 423 - t. What is the remainder when o is divided by 29?
28
Suppose 27*q - 11327 + 419 = 0. What is the remainder when q is divided by 135?
134
Let i = 120 + -118. Let n = i + 41. Calculate the remainder when n is divided by 25.
18
What is the remainder when 2*(-1 + 153/2) is divided by 19?
18
Let w = -82 - -136. What is the remainder when w is divided by 23?
8
Suppose -5*x + 2*x = -33. Let z = -9 + x. Calculate the remainder when 14 is divided by z.
0
Let x = -92 + 97. What is the remainder when 20 is divided by x?
0
Let g be (6 - 3)/(2/10). Let d = -69 + g. Calculate the remainder when (1/(-3))/(6/d) is divided by 3.
0
Suppose 5*p - 3 = -2*b, -6*p + 2*p - 24 = -5*b. Let n = 1 + b. Suppose 4*z + n*i - 3 = 0, z + i + 40 = 6*z. Calculate the remainder when 11 is divided by z.
4
Let r(h) = 4*h + 159. What is the remainder when 161 is divided by r(-37)?
7
Suppose -15*d + 20 = -10*d. What is the remainder when 14 is divided by d?
2
Suppose -2*f - m = -4*f + 3, m + 7 = -2*f. Let y = -18 + 71. Calculate the remainder when y is divided by (-3)/f - 100/(-4).
25
Let p(l) = -4*l**2 - 36*l - 12. Calculate the remainder when p(-7) is divided by 26.
18
Let y(d) = 2*d**2 + 3*d - 184. Let a(s) = -11*s + 2. Calculate the remainder when a(-4) is divided by y(-11).
21
Calculate the remainder when 0/(18 - 6) + 12 + 0 is divided by 6.
0
Suppose -4*h = 2*q - 16, -75*h + 35 = -70*h - 5*q. Suppose -5*p + u = -66 - 19, -u - 17 = -p. Calculate the remainder when p is divided by h.
2
Suppose 20 - 18 = 2*m. What is the remainder when 6 is divided by m?
0
Let j be (-5)/(-35) - 2015/(-7). Let y = j + -164. Let z = 195 - y. Calculate the remainder when z is divided by 19.
14
What is the remainder when 2142 is divided by 75/2 + -8 + 3/(-6)?
25
Let g = 267 - 256. What is the remainder when 4/((-24)/21)*(-50)/1 is divided by g?
10
Suppose 0 = -2*c - c + 156. Let i(n) be the third derivative of n**5/60 - 7*n**4/24 + 5*n**3/3 - 13*n**2. Calculate the remainder when c is divided by i(8).
16
Let g = -3 - -8. Suppose g*a = -34 + 369.