et w(f) = -f**3 + 6*f**2 - 4*f + 17. Let l(r) = -r + 2. Let p be l(-3). What is the remainder when 64 is divided by w(p)?
20
Suppose 0*t - r = 5*t - 35, 3*r = -15. What is the remainder when 6/(-5)*-1*25 is divided by t?
6
Let l(p) = -4*p - 4. Let j(r) = r**2 + 15*r + 37. Let s be j(-12). Calculate the remainder when (-5)/10*-56 + s is divided by l(-5).
13
Let h = 258 + -242. Let m be 1 + 1/(-1) - -2. Suppose f - h = -2*j + 37, -m*j + 23 = -5*f. Calculate the remainder when 47 is divided by j.
23
Let l(k) = -2*k**3 - 17*k**2 + 7*k - 8. What is the remainder when 12 is divided by l(-9)?
2
Let s be 144/15 + 3/(-5). Suppose 0 = p - s - 5. Calculate the remainder when p is divided by 4.
2
Let z = -61 + 70. Suppose 532 = 13*i - z*i. What is the remainder when i is divided by 34?
31
Let j = -538 - -953. Suppose -6*p + j = -p. What is the remainder when p is divided by 17?
15
Suppose 32*p + 11848 = 40*p. What is the remainder when p is divided by 57?
56
Suppose y + 316 = 355. Calculate the remainder when y is divided by 6.
3
Suppose 4*m + 40 = -m. Let w = 10 + m. Suppose 5 = 3*r - 4. What is the remainder when r is divided by w?
1
Let r = 7066 - 7048. Let c(j) = 6*j**2 - 3*j. What is the remainder when c(-3) is divided by r?
9
Let c be 24/(-2)*(-3)/9. Suppose -2*j = 2*j - 3*z - 52, -c*j + 4*z + 56 = 0. Suppose 2*g + j = 3*g. Calculate the remainder when 19 is divided by g.
9
Suppose 4*z - 766 = -3*g + 4*g, -3*z = 3*g - 582. Let x = -118 - -8. Let r = z + x. Calculate the remainder when r is divided by 28.
26
Suppose 7*m - 6*m = 5. Suppose m*d = 2*d - 12. What is the remainder when 24 is divided by d/10 - (-47)/5?
6
Let t = -599 - -611. Calculate the remainder when 331 is divided by t.
7
What is the remainder when (-1 - -2)*6 - 2 is divided by 3/6*12 + (-8)/2?
0
Let b(y) = 3*y**2 + 4*y. Suppose -4*k = 6 - 246. Suppose k + 176 = 4*m. Calculate the remainder when m is divided by b(-3).
14
Suppose -w + 10 = 2*c, w + 0*w + 18 = 5*c. Let z = 280 + -276. What is the remainder when z is divided by c?
0
Suppose 2*g - 483 = -g. What is the remainder when g is divided by (-1 - -61) + (-438)/73?
53
Let k(q) = q**3 + 6*q**2 + 3*q + 1. Let b be (-4)/10 - (-38)/(-5). Let z be (-1)/((-18)/b + -2). Calculate the remainder when k(z) is divided by 12.
9
Let n(v) = -14*v - 270. Calculate the remainder when 102 is divided by n(-20).
2
Let v(u) = -u**2 - 4*u + 7. Let j be v(6). Let c = j + 54. Let o(d) = -d - 5. Calculate the remainder when c is divided by o(-6).
0
Let u(y) = 11*y + 4. What is the remainder when 388 is divided by u(7)?
64
Calculate the remainder when -6 + 7/(49/1988) is divided by 28.
26
Suppose 3*j - j = 10. Suppose -5*r - 5*u + j = 0, 5*r - 3 = u + 20. Calculate the remainder when (1*-3)/((-9)/30) is divided by r.
2
Let o(n) = n**2 + 6*n + 5. Let d be o(-6). Suppose h = d*h - 64. What is the remainder when h is divided by 11?
5
Let u = -41 - -47. Suppose -32 = -u*o + 4*o. What is the remainder when 21 is divided by o?
5
Suppose -3*t - 47 = -4*v + 16, -v + t = -15. Let g be 2/(-8) - (45/12 + -5). What is the remainder when v is divided by -2 + 1 + (g - -7)?
4
Suppose -65 = -20*s + 1175. Let h(v) = 17*v - 1. What is the remainder when s is divided by h(1)?
14
Let p = 357 + 29. Calculate the remainder when p is divided by 79.
70
Suppose 0*w + 2*q = 5*w + 117, 4*w - 3*q = -95. Let j = 40 - w. Calculate the remainder when j is divided by 16.
15
Suppose 3*q + 4*o = 43, 0 = q - 0*q - 2*o - 11. Suppose 4*i - 21 = -2*m + q, -2*i - 5*m + 21 = 0. What is the remainder when 15 is divided by i?
7
Let m(i) = -3*i + 3. Let o be m(-6). Suppose -21 = -5*f - 2*r, -4*f + 3*r = 6*r - o. Calculate the remainder when f is divided by 3.
0
Let g(t) = -t**3 - 2*t**2 + 5*t + 2. Let f = 17 - 21. Let h(o) = -39*o - 1. What is the remainder when h(-1) is divided by g(f)?
10
Let n be ((-5)/10)/((-1)/186). Let f = n - -47. What is the remainder when f is divided by 36?
32
Let r = -24 + 45. Suppose 2*v - 158 = -4*l, 4*v - 12 = -0*v. Calculate the remainder when l is divided by r.
17
Let p(f) be the second derivative of -f**4/12 + 5*f**3/3 + f**2/2 + f. Suppose 49*o = 53*o - 36. Calculate the remainder when 28 is divided by p(o).
8
What is the remainder when (-1 - 1/(-2))*(70 - 198) is divided by 23?
18
Suppose 1890 = 90*a - 84*a. Calculate the remainder when a is divided by 17.
9
Suppose -i + 13 = -5*n, 15 = 5*i - 4*n - 8. Suppose -i*p = p, 4*p = 5*h - 360. What is the remainder when h is divided by 19?
15
Calculate the remainder when 130 is divided by 6 - 2 - (-6)/18*33.
10
Suppose 0 = 13*k + 8*k - 1827. Calculate the remainder when k is divided by 8.
7
Let b = -3 + 10. Suppose -4*x = -0*x + 4. What is the remainder when (-60)/(-8)*((-14)/(-6) - x) is divided by b?
4
Suppose 199*b = 203*b - 880. Calculate the remainder when b is divided by 32.
28
Suppose -10*s + 3132 = 17*s. Suppose -219 = -y + 4*y. Let t = s + y. What is the remainder when t is divided by 15?
13
What is the remainder when ((-378)/42)/((-2)/62) is divided by 87?
18
Suppose 0 = -j - 3*g + 4, 10*j + 2*g = 7*j + 47. Calculate the remainder when 40 is divided by j.
2
Let p = 1 + 91. Suppose -p*k - 45 = -95*k. Calculate the remainder when k is divided by 9.
6
Let g(h) = -h**3 - 6*h**2 - 4*h - 3. Suppose 15*t = 16*t - 8. What is the remainder when g(-6) is divided by 6*((-5)/20 - (-10)/t)?
3
Let f(w) = 24*w**2 + 7*w - 14. What is the remainder when f(2) is divided by 3?
0
Suppose -62 = -5*i + 4*l, 4*i = 5*i + 5*l + 5. What is the remainder when 82/4 + (-90)/(-60) - 7 is divided by i?
5
Let k(t) = t**3 + t**2 + 22. Suppose 0 = -a - 4*a + 185. Suppose a = 4*o + 2*h - 11, -o = 3*h - 12. Calculate the remainder when k(0) is divided by o.
10
Suppose 0 = -3*f - 4*t + 89, t + 8 = 3*f - 71. What is the remainder when f is divided by 11?
5
Calculate the remainder when 43 is divided by (-6*3/(-9) + -1)*16.
11
Let x(c) = -5*c**3 + 7*c**2 + 10*c + 5. Suppose -2*m - 30 = -q, -6*q + 2*q = -2*m - 102. Calculate the remainder when q is divided by x(-1).
3
Let j(u) be the first derivative of -u**4/2 - u**3 - u**2/2 - 2*u + 1. Let b be j(-2). Calculate the remainder when 82 is divided by b/(-10) - (-321)/15.
19
Let k = -8 - -10. Suppose 5*c + 12 + 3 = -k*b, -40 = 4*c - 4*b. What is the remainder when (-7 - -4)*c - -2 is divided by 9?
8
Let g be (-1)/2*270/(-5). Let s = 71 - g. Suppose 1 = 5*b - s. What is the remainder when 44 is divided by b?
8
Let f(i) = 2*i**2 - 17*i + 19. Let a be f(10). Let d = 26 + -45. Let c = d + a. Calculate the remainder when c is divided by 11.
8
Let x = -1040 - -1079. What is the remainder when 226 is divided by x?
31
Let n = 47 + -20. Let s be ((-58)/10 - -3)/((-2)/10). Suppose s = 83*q - 81*q. Calculate the remainder when n is divided by q.
6
Suppose h = -2*h + 153. Suppose -3*u + 13 = -26. What is the remainder when h is divided by u?
12
Suppose -z + 4*z = 159. What is the remainder when z is divided by ((-11)/((-11)/12) - -6)/1?
17
Let q(n) = -2*n**3 + n**2 - 6*n - 8. Suppose -3*k + 83 + 202 = 0. What is the remainder when k is divided by q(-2)?
23
Let x be (-4)/6 + (-28)/3. Let h(u) be the second derivative of -u**4/12 - 11*u**3/6 + 6*u**2 + 223*u. Calculate the remainder when 109 is divided by h(x).
21
Suppose 0 = -16*c + 251 + 677. Calculate the remainder when 72 is divided by c.
14
Suppose 1061 - 621 = 20*x. Calculate the remainder when 327 is divided by x.
19
Let c(v) = 12*v + 3. Calculate the remainder when c(8) is divided by (-2)/(-2)*((-12 - -4) + 25).
14
Let p = -17 - -17. Suppose p = 3*i + i. Suppose i = -3*g - 2*d - d + 27, g - 5*d = 27. Calculate the remainder when 23 is divided by g.
11
Suppose -3*d = -7*d + 1200. Suppose -4*n + d + 120 = 0. Calculate the remainder when n is divided by 27.
24
Calculate the remainder when (336/196)/((-4)/(-42)) is divided by 5.
3
Suppose 3*r + r - 21 = -f, f - 1 = 0. Suppose -r*j = -h - 118, -6*h - 61 = -2*j - h. Let a = 7 + j. Calculate the remainder when a is divided by 16.
14
Let h(c) = 28*c + 49. Let x be h(7). What is the remainder when 2*(2 + 0 - x/(-14)) is divided by 10?
9
Let v = 9 - 3. Let k = 50 - v. Suppose 3*t = -3*r - r + k, r = t - 10. Calculate the remainder when 34 is divided by t.
10
Suppose -2*s - q = -12, -3*s + 19*q = 21*q - 20. Suppose 