e remainder when 33 is divided by q.
9
Let c(z) = -z**2 + 69*z - 492. Calculate the remainder when 4175 is divided by c(9).
47
Let y = -126 + 161. Suppose 2*b - 184 = 2*l, 72 = 4*b - 3*b + 4*l. Calculate the remainder when b is divided by y.
18
Suppose -12*b + 8*b + 500 = 0. Let u = b + -95. What is the remainder when 172 is divided by u?
22
Let t = -121 + 772. Let k = 672 - t. What is the remainder when ((-108)/2)/(6/(-16)) is divided by k?
18
Suppose -4*p - 2*p = -23*p + 1581. What is the remainder when 1382 is divided by p?
80
Calculate the remainder when 256 is divided by (-46*(-2)/9)/(2/9).
26
Let x(s) = 120*s + 62*s**2 - 57*s - 65*s + 2. What is the remainder when x(-1) is divided by 28?
10
Suppose w + 5*u + 2 - 46 = 0, 2*u = -4*w + 122. Suppose -1008 = 7*k - 14*k. What is the remainder when k is divided by w?
28
Let t = -116 + 321. Suppose 203*c + 22 = t*c. Calculate the remainder when 42 is divided by c.
9
Suppose -4*u + 4*g = -128, -2*u - 4*g = -2*g - 72. Calculate the remainder when 141 is divided by u.
5
Let q = 406 - 401. Suppose -r = -4*t + 16, 2*r - 13 = -5*t + q*r. Calculate the remainder when 107/((-6)/3 + 3) is divided by t.
2
Let x = 98 + -95. What is the remainder when 171 is divided by x/(-18) + (-201)/(-18) + 0?
6
Suppose 1256*y - 5752 = 1238*y + 2132. Calculate the remainder when y is divided by 145.
3
Suppose -31 = -g - 34. Let p be (-5 + 10 + g)/(-1). What is the remainder when (-2970)/(-105) + p/7 is divided by 17?
11
Let h be (-210)/(10/12 + (-40)/30). Suppose 281*a = 296*a - h. Suppose 2*k + 119 - 331 = 0. Calculate the remainder when k is divided by a.
22
Suppose -36 = -3*a + 4*g, 0 = 18*a - 14*g + 12*g - 84. Calculate the remainder when 259 is divided by a.
3
Let a be (3/2)/(-1 - (-9)/6). Calculate the remainder when (3 - 7) + (855/a)/3 is divided by 4 + -3 + 66/3.
22
Let a be (39/9)/(-13)*15*1. Let t(n) = -10*n - 12. Let r = 23 + -9. What is the remainder when t(a) is divided by r?
10
Let m be (5*-348)/5 + 2. Suppose -2*z = -4*z + 24. What is the remainder when (-3)/(24/m) - 21/(-28) is divided by z?
8
Let p(c) = c**3 - 11*c**2 + 32*c - 36. What is the remainder when p(9) is divided by 15?
0
Suppose 0 = 2*n - 4*o - 20, 4*n - o + 13 - 74 = 0. Let w = 4182 - 4133. What is the remainder when w is divided by n?
1
Suppose 4*i - 9*i - 5*s + 540 = 0, -3*s - 236 = -2*i. What is the remainder when 13 is divided by (-2)/(i/20 - 1 - 5)?
3
Suppose 5*r - 5*k - 1000 = 0, -4 = -3*k + 5*k. What is the remainder when r is divided by 109?
89
Let s(k) be the third derivative of k**5/60 - k**4/12 - k**3/6 + k**2. Calculate the remainder when -5 + 9 - (-49)/(-14)*-2 is divided by s(4).
4
Let y be (1 + 4 + -9)/((-20)/30). Let w = 37 - 9. What is the remainder when w is divided by -10*y/(-4) - 7?
4
What is the remainder when 1159 is divided by -10*((-34263)/(-45))/(-27)?
31
Suppose 19 = 4*c - y, -3 = 4*c - 2*c - 3*y. Calculate the remainder when c/5*2070/36 is divided by 20.
9
Suppose 22*d - 44*d = 51*d - 1898. Calculate the remainder when 883 is divided by d.
25
Suppose -14*b + 1767 = -361. What is the remainder when 4253 is divided by b?
149
Suppose 67*p - 3393 = 28*p. Let r be 3 + (-1)/(-1)*1. Suppose 3*h - 15 = 2*h - r*l, -3*l - 6 = 0. Calculate the remainder when p is divided by h.
18
Suppose -3*k + 4*j = -5*k - 80, -k = 3*j + 38. Let f = k - -49. Suppose -f*m = -29 - 121. What is the remainder when 89 is divided by m?
29
Suppose 58802 = 15*v - 9690 - 45688. What is the remainder when v is divided by 15?
7
Let g = 22 - 20. Suppose 5*c = h + 4*h + 40, 0 = g*h + 8. Suppose 0 = -c*v + r + 23 + 4, -2*r - 22 = -4*v. What is the remainder when 167 is divided by v?
7
Let p(m) = 2*m**3 - 15*m**2 - 7*m + 63. Suppose 10*i = 8*i + 562. What is the remainder when i is divided by p(8)?
68
Suppose -71 = -3*i - 2*z + 283, -144 = -i - 5*z. What is the remainder when i is divided by 1?
0
Let n = 33 - 14. What is the remainder when 59 is divided by n?
2
Suppose -2*g - 3*j = -995, 6*g - 2*g = 2*j + 1982. Let i = -459 + g. What is the remainder when 65 is divided by i?
28
Suppose -4*w - 251 + 259 = 0. Suppose -t = -w*t + 10. Calculate the remainder when 14 is divided by t.
4
Let k = 1579 + -1568. Suppose 0 = 2*u - 3*s - 382, -u - 3*s = -2*u + 197. Calculate the remainder when u is divided by k.
9
Calculate the remainder when 2 + (1/10 - (-2 - 111588/120)) is divided by 64.
38
Suppose -5*x - 3*d = -4857, -3*x + 3616 - 703 = 3*d. Calculate the remainder when x is divided by 59.
28
Let y(s) = 5*s - 26. Let f be y(8). Suppose -o + 4*k = -44, -10*o - 4*k = -f*o + 188. What is the remainder when 161 is divided by o?
17
Let h(x) be the third derivative of -x**5/30 + 23*x**4/6 - 16*x**3 - 7*x**2 - 8*x. Calculate the remainder when h(44) is divided by 14.
10
Suppose -42 = -2*c + 14. Let f(u) = -2*u**2 + 40*u - 114. Calculate the remainder when f(8) is divided by c.
22
Suppose m + 4*x + 23 = 0, 0 = -8*m + 6*m - x - 18. Let h be m*((-6)/7 - 2). Calculate the remainder when 4 - -10*(16/h + 2) is divided by 7.
4
Suppose 5*b + 2*w - 2038 = 0, 4*b + 105*w - 107*w = 1634. What is the remainder when b is divided by 159?
90
Suppose -3*t = -113*c + 115*c - 1826, -2*c = 4*t - 2436. Calculate the remainder when t is divided by 606.
4
Let o(j) = j + 3. Let d be o(0). Let u = d - -90. Calculate the remainder when u is divided by 12/((-16)/12 - 3075/(-1800)).
29
Let d(c) = 8*c**3 - c**2 - 2. Let g be 2 + 1 + 6/(-6). What is the remainder when d(g) is divided by (-28)/(-35)*(-75)/(-6)?
8
Suppose 3*l = 5*a + 11387, 238*l - 242*l + 2*a + 15206 = 0. Calculate the remainder when l is divided by 103.
96
Let y be 116/24 - (-1)/6. Suppose -36 = 5*w - 3*z - 5, y*w + 3*z = -19. Calculate the remainder when 35 is divided by w/10*1*-24.
11
Suppose 5*m + 5*k - 575 = 0, -4*m + 5*k + 469 = -0*k. Let y = m - 100. Let w = y + -3. Calculate the remainder when 36 is divided by w.
10
Suppose -1396*v + 208 = -1394*v. Suppose 664 = 8*c - v. Calculate the remainder when c is divided by 15.
6
Let m = -163 + -112. Let s = m - -328. Let x = 36 - 18. Calculate the remainder when s is divided by x.
17
Suppose -114 + 900 = 5*b + 4*f, b - 5*f - 134 = 0. Let t = b - 129. What is the remainder when t is divided by 14?
11
Let j be (-8 - -4) + -5 + 23. Suppose b - 953 = -5*g, j*g = 19*g - 5*b - 935. What is the remainder when g is divided by 33?
25
Let x(s) = -88*s - 793. Calculate the remainder when x(-15) is divided by 5.
2
Let p be ((-6)/(-3))/(1/(-33)). Suppose -73*y + 47*y = -3380. Let n = p + y. Calculate the remainder when n is divided by 11.
9
Suppose -k = k - 56. What is the remainder when 14/(21 + 5929/(-286)) is divided by k?
24
Suppose 2*h - 6 = 0, -851 = -4*c - 0*h - h. Let f = -40116 - -40161. What is the remainder when c is divided by f?
32
Suppose 630 = 5*p + 5*k, -3*p + 284 + 86 = -5*k. Calculate the remainder when p is divided by 15.
5
Suppose 3553 = 224*l - 2047. Calculate the remainder when 261 is divided by l.
11
Let r = -58 - -108. Suppose -u - 5*d = -50, 3*d + 35 = 4*u - r. Calculate the remainder when 60 is divided by u.
10
Suppose 100*b - 39 = 74*b + 689. What is the remainder when 793 is divided by b?
9
Let p be (-5 - (-2 - -10))*-4. Suppose y - 125 = p. Calculate the remainder when y is divided by 9.
6
Suppose -36511 = -40*m + 7671 + 15298. Calculate the remainder when m is divided by 213.
209
Let z(y) = -y**3 - 126*y**2 + 265*y + 1190. Let l(s) = 28*s + 7. What is the remainder when l(5) is divided by z(-128)?
33
Let l(k) = 7*k**2 + 9*k - 4. Let o(h) = 15*h**2 + 18*h - 8. Let w(m) = 5*l(m) - 2*o(m). What is the remainder when 157 is divided by w(-4)?
37
Let l(w) = -101*w - 8. Let u(t) = -151*t - 13. Let j(o) = 7*l(o) - 5*u(o). What is the remainder when j(6) is divided by 12?
9
Let n = -26648 - -26668. What is the remainder when 61 is divided by n?
1
Suppose 6698 + 3319 - 94795 = -46*c. What is the remainder when c is divided by 206?
195
Let j = -3 + -541. Let o = 552 + j. What is the remainder when 15 is divided by o?
7
Calculate the remainder when 238 is divided by (-20)/30*2814/(-28).
37
Calculate the remainder when 556 is divided by (4 - -1)/(2*(-3)/(-24)).
16
Suppose 677 = 12*s - 1519. What is the remainder when 435 is divided by s?
69
Suppose -3*f + 1202 = -u, -63*f + 6