 the remainder when k is divided by 16.
12
Suppose 87 = 5*t + 12. Let h = t + 3. Calculate the remainder when 34 is divided by h.
16
Let o(k) = k**2 - 12*k - 2. Suppose -7*g + 63 = -10*g. Let r = 27 + g. Calculate the remainder when o(13) is divided by r.
5
Let s(m) = 61*m**2 + 17 + 5*m + 5*m - 63*m**2. Suppose 0 = -4*i + 5*z + 51, i - 12 = -2*i - 5*z. Calculate the remainder when i is divided by s(6).
4
Let l(k) be the third derivative of -k**6/120 - k**5/10 - 5*k**4/24 - 8*k**3/3 + 4*k**2. Calculate the remainder when 22 is divided by l(-6).
8
Suppose -298*f + 1190 = -281*f. Calculate the remainder when 103 is divided by f.
33
Suppose -4*d - 2*h + 152 = 0, -3*d - 2*h = -0*h - 113. Let a = -20 - -26. Calculate the remainder when d is divided by (-124)/(-8) - 9/a.
11
Suppose 0 = -10*x + 202 - 12. Calculate the remainder when 474/7 - (-2)/7 is divided by x.
11
Let s = 29 - 20. Suppose -v - 2*g - 8 = -3, 3*g = -s. Suppose -3*p - p + 16 = 0. What is the remainder when p is divided by v?
0
Let t(f) = -3*f + 5. Let r be t(-1). What is the remainder when 179 is divided by (-6*r/(-30))/(10/225)?
35
Suppose 0 = -146*g + 136*g + 1200. What is the remainder when g is divided by 42?
36
Calculate the remainder when 106 is divided by (-64)/(-48)*(1 + 26/4).
6
Let w = -177 - -184. Calculate the remainder when 61 is divided by w.
5
Suppose -9*b + 6*b + 162 = 0. Let y = 91 - b. Calculate the remainder when 146 is divided by y.
35
Let y be -1 + (4 - 3) + 0. Let c = y - -5. Let d = -664 + 679. Calculate the remainder when d is divided by c.
0
Suppose -4*h - 2*n - n = -288, 3*h - 4*n - 191 = 0. Suppose -5*u + 8 = 23. Calculate the remainder when h is divided by ((-42)/(-15))/((-1)/(-2 + u)).
13
Let p(w) = -193*w - 68. Let a(g) = 2*g**2 - 3*g + 5. What is the remainder when p(-2) is divided by a(5)?
38
Suppose 0 = -4*i, 106*i - 111*i + 136 = 2*h. Calculate the remainder when 542 is divided by h.
66
Suppose 5*v - 500237 = 2*v - 500033. Let l(u) be the third derivative of 3*u**4/4 - u**3/6 + u**2. What is the remainder when v is divided by l(2)?
33
Calculate the remainder when 231 is divided by (-7 - 6)/(2/4*-1).
23
Let l(f) = f**3 + 8*f**2 + 5*f. Let s be (-2 + (7 - -1))/(-1). What is the remainder when l(s) is divided by (2*17/102)/(4/132)?
9
Suppose 4*u + 8 = 6*u. Let a(j) = 46*j - 4. Let b be a(u). Calculate the remainder when (-1)/2 - b/(-8) is divided by 12.
10
Suppose -3206 = -16*f + 9*f. Calculate the remainder when f is divided by 20.
18
Suppose -4*v = -x + 4, 0*v - 3*x + 12 = 2*v. Let t(g) = 2*g + 28. Let q be t(v). Let i = 32 - q. Calculate the remainder when i is divided by 2.
0
Suppose 0*k - 4*k + 314 = -5*d, -2*d - 320 = -4*k. What is the remainder when k is divided by (-528 + 527)/((-1)/(-9)*6/(-14))?
18
Suppose -4*h - 242 = 3*i - 8*h, -i = 2*h + 84. Let p be 12/14 - 11808/252. Let r = p - i. Calculate the remainder when r is divided by 13.
10
Let n(q) = q**2 - 7*q + 3. Let s = 14 - 15. Let h be (7/(-4))/(s/4). What is the remainder when n(h) is divided by 1?
0
Let y(f) = -41*f**3 + f**2 - 9*f + 11. Let m(q) = -21*q**3 + q**2 - 5*q + 6. Let t(z) = 5*m(z) - 3*y(z). Calculate the remainder when 42 is divided by t(1).
4
Let b(a) = -a + 29. Calculate the remainder when 171 is divided by b(-1).
21
Let t(n) = 7*n - 80. Calculate the remainder when 21 is divided by t(12).
1
Let z(t) be the second derivative of t**4/12 - 3*t**3/2 - 15*t**2/2 - 10*t. What is the remainder when z(-3) is divided by 10/(-4)*-4 + 2?
9
Let c = 492 + -471. What is the remainder when 41 is divided by c?
20
Let w(c) = 9*c + 26. What is the remainder when 96 is divided by w(0)?
18
Let l(j) = 15*j**2 - 15*j - 38. Let y(x) = -7*x**2 + 7*x + 19. Let d(n) = -6*l(n) - 13*y(n). Calculate the remainder when 113 is divided by d(-6).
21
Let u(d) = d**3 - 26*d**2 - 27*d + 28. What is the remainder when 68 is divided by u(27)?
12
Let q be (3 - (-3)/(-6))*12. Suppose -14*c = -11*c - q. Calculate the remainder when 49 is divided by c.
9
Suppose 36*r - 28*r = 32. Suppose 2*b = 4 + r. Calculate the remainder when 18 is divided by b.
2
Suppose 1320 = 2811*l - 2800*l. Calculate the remainder when l is divided by 25.
20
Suppose -57*v + 100*v - 27735 = 0. What is the remainder when v is divided by 72?
69
Let h(q) = -q**2 - 24*q - 112. Suppose 4*u - 96 - 20 = 0. What is the remainder when u is divided by h(-16)?
13
Let b(j) = -6*j + 6*j**2 + 5*j**2 - j**3 + 0*j**3 + 16 + 33*j. What is the remainder when 84 is divided by b(13)?
26
Let f be -38 + -1*(1 - 3). Let x be (f/8)/((-2)/4). Let s(r) = r - 5. What is the remainder when 10 is divided by s(x)?
2
Suppose 0 = -2*l - p - 2*p + 33, 0 = p - 1. Calculate the remainder when 494 is divided by l.
14
Suppose 3*t - y = 27, 5*y + 5 - 23 = -2*t. What is the remainder when ((-20)/8 + 3)/((-74)/(-2516)) is divided by t?
8
Suppose -2*l + k = -38, -2*l = 2*l + k - 70. What is the remainder when 106 is divided by l?
16
Let s be (-3)/(-2)*(-1 + (-327)/(-9)). Let f = -24 + s. Calculate the remainder when f is divided by 10 - (-1 - -1)/(-2).
9
Let m be 6/(-33) - (304/22 + -3). Calculate the remainder when (-2 - m)/(2/6) is divided by 15.
12
Calculate the remainder when (5 - (-405)/12)/(90/72) is divided by (-6)/5*(2 - 12).
7
Let r = 1033 - 581. What is the remainder when r is divided by 65?
62
Let t(f) be the first derivative of -1/3*f**3 + 13/2*f**2 + 4*f + 4. Calculate the remainder when 30 is divided by t(12).
14
Let l = 26 + -16. Let g be 8*(-3 - l/(-4)). Calculate the remainder when 58 is divided by 20 - (g + (-12)/(-3)).
18
Suppose -c = 3*c - h - 23, 2*h + 22 = 4*c. Suppose 2*y - 4*x - 20 = 0, -c*y = -y - x - 86. Calculate the remainder when 71 is divided by y.
17
Let w = 31 - 29. Suppose -d = 2, z - w*d = -1 + 20. Let u(x) = 58*x**2 - x + 1. What is the remainder when u(1) is divided by z?
13
Suppose 14 - 56 = -7*u. Let g(s) = s**3 - 4*s**2 - 7*s - 5. Let r be g(u). Suppose -r = -3*w - 13. Calculate the remainder when 6 is divided by w.
2
Suppose 2*t + 16 = 10. Let w(l) = 5*l**2 - 5*l - 7. What is the remainder when w(t) is divided by 11?
9
Suppose 0*m - m + 158 = v, 0 = 2*v - m - 328. Calculate the remainder when v is divided by 78.
6
Let c(s) = -2*s. Let g(v) = v**3 + 5*v**2 - 39*v - 170. What is the remainder when g(-7) is divided by c(-2)?
1
Let g be (1 - (1 + -2))/(-2). Let h be g/(-1) + (-4215)/5. What is the remainder when (-2)/(-9) - h/18 is divided by 24?
23
Suppose -11*f - 6 = -12*f. What is the remainder when 261 is divided by f?
3
Let a(h) = -3*h**3 - 2*h**2 + 3. Calculate the remainder when a(-2) is divided by 2.
1
Let x(q) = -q**3 + 8*q**2 - 4*q - 5. Let l be x(7). Suppose -5*j + l = -4. Suppose 29 - 5 = j*b. Calculate the remainder when 22 is divided by b.
4
Suppose -2 = 5*y - 5*k - 62, -k - 29 = -2*y. Calculate the remainder when (1*-1)/(y/(-1479)) is divided by 30.
27
Suppose -3*d + 299 = -s + 3*s, s - 147 = -d. Let u = 135 - 119. What is the remainder when s is divided by u?
14
Suppose 2 + 28 = 15*t. Calculate the remainder when 35 is divided by (((-16)/10)/t)/(2/(-25)).
5
Let m = -158 - -326. What is the remainder when m is divided by 30?
18
Calculate the remainder when 27 is divided by -3 + (0 + -19)/((-8)/8).
11
Suppose 27*o - 23*o = -436. Let v = o - -146. What is the remainder when v is divided by 8?
5
Let b = 230 + -193. Calculate the remainder when 173 is divided by b.
25
Suppose -1013*f + 1019*f = 90. What is the remainder when 31 is divided by f?
1
Let l be 423/81 - 2/9. Suppose -l*w + 11 - 1 = 0. Suppose w*g - 15 = 4*x + 127, -g + 41 = 4*x. Calculate the remainder when g is divided by 16.
13
Let r(h) = h**2 - 11*h + 5. Let a be r(4). Let j = a - -31. Calculate the remainder when 30 is divided by j.
6
Suppose 375 + 549 = 33*y. Suppose i - c + 66 = 4*i, -i + 3*c + 22 = 0. What is the remainder when y is divided by i?
6
Let q(r) = r - 4. Let w be q(6). Suppose -4*a = -k - 0*k + 16, -w*k + 2 = -2*a. Calculate the remainder when 27 is divided by 12/15*(-70)/k.
13
Suppose 3*o - 57 = -a, -a + 0*a + 5*o + 25 = 0. Calculate the remainder when (72/a)/((-1)/(-45)) is divided by 19.
15
Let i(b) = 55*b - 2. Let h be i(3). Suppose 8*y = h + 125. Calculate the remainder when 105 is divided by y.
33
Suppose 8 + 32 = 2*l. Let x(b) = -b**3 - 4*b**2 