- 12. Let a be p(10). Let x be 1128/a - 3/(-9). Suppose 3*w - x = l, 4*l + 83 = 4*w + 3*l. Calculate the remainder when 77 is divided by w.
17
Let h(p) = 2*p**2 - 6. Let i be -6 + (0 - (0 + -2)). What is the remainder when h(i) is divided by (0 - -1)/((-2)/(-18))?
8
What is the remainder when 668 is divided by (-51 + -10)/((-3)/3)?
58
Suppose -1 = -6*j + 23. What is the remainder when 4 is divided by ((-2)/6)/(j/(-24))?
0
Let w(o) be the first derivative of o**4/4 + 13*o**3/3 - 9*o**2 - 35*o + 26. Calculate the remainder when 40 is divided by w(-14).
19
Calculate the remainder when 4 is divided by (0 - 1)*(4 + -2)*-1.
0
Let p = 333 + -316. Suppose -w + 53 = -5*o, -5*w + 102 = 2*o - 136. Calculate the remainder when w is divided by p.
14
Let w(m) = -m**2 - 5*m + 5. Let v(l) = l**2 + 6*l - 4. Let n(x) = -6*v(x) - 7*w(x). What is the remainder when 31 is divided by n(-4)?
4
Let q(b) = -b**2 - 15*b + 37. Let f be q(-17). Suppose 36 = o - 4*w, 8*w + 108 = f*o + 6*w. Calculate the remainder when 178 is divided by o.
34
Let a = -40 + 24. Let i = a + 27. Let f = -15 - -57. Calculate the remainder when f is divided by i.
9
Suppose j - 12 = 3*o + 33, 0 = 4*j + 2*o - 152. Calculate the remainder when 428 is divided by j.
38
Let a = -2 + -10. Let j = 16 + a. Suppose 5*c - 27 = -j*r, 0 = -3*c - 0 + 9. Calculate the remainder when 6 is divided by r.
0
Let n(z) = 139*z + 294. What is the remainder when 829 is divided by n(-2)?
13
Let g be 42/273 - (-167)/13. Suppose -n + 2*w = w - g, -5*w = 3*n - 31. Calculate the remainder when 18 is divided by n.
6
What is the remainder when 49 is divided by 19 + -7 + 4 + 0?
1
Suppose 0 = -5*j - 3*k - 1, 6 = 2*k - 0. What is the remainder when (j + (-260)/(-12))*(3 - 0) is divided by 30?
29
Let n(d) = -5*d + 1. Let g = -921 - -964. Calculate the remainder when g is divided by n(-2).
10
Let a = 22 - 25. Calculate the remainder when 35 is divided by a*((-95)/105 - 6/14).
3
What is the remainder when -7 - (-1038 + 36 + 0 + -4) is divided by 167?
164
Suppose 7*h - 32 + 95 = 0. Let k = 2 - h. What is the remainder when 262 is divided by k?
9
Let v = 5 + -30. Let g(z) = -z**2 - 28*z - 53. Calculate the remainder when 43 is divided by g(v).
21
Let q be (2/3)/((-2)/(-12)). Let l(x) = 3*x**2 - 8*x + 8. Let u be l(q). Suppose -o + u = -0*o. Calculate the remainder when o is divided by 13.
11
Let n(t) = t**2 - 9. Let y be n(3). Suppose -2*i + 12 + 2 = y. Calculate the remainder when i is divided by 5.
2
Let b = 757 + -742. Calculate the remainder when b is divided by 12.
3
Let m = 16 - -8. Suppose -22*b = -m*b + 8. Calculate the remainder when 19 is divided by b.
3
Suppose 3*z = 3*h - 7*h + 47, h + 3*z = 23. Calculate the remainder when 29 is divided by h.
5
What is the remainder when (230/575)/(2/1700) is divided by 49?
46
What is the remainder when 122 is divided by (40/(-30))/((-67)/33 - -2)?
34
Let v(h) = -2*h**2 - 17*h - 10. What is the remainder when 51 is divided by v(-7)?
7
Let k = 33 + -18. Let l = -93 - -277. Let o = l + -127. Calculate the remainder when o is divided by k.
12
Suppose 2*o + 87 = 3*o. Suppose 0 = -3*j + 249 - o. Calculate the remainder when j is divided by 20.
14
Suppose -3 = 2*j - 7. Suppose 0 = -5*k - 3*r + 17, -j*r + 5 = -3. Calculate the remainder when k + 58 + 0 - -2 is divided by 16.
13
Suppose 0 = -5*r - 94 + 39. Let b be 122/6 + 1/(-3). Let h = r + b. What is the remainder when 25 is divided by h?
7
Suppose 0 = 25*v - 30*v + 65. Let w(h) = -h**3 - 8*h**2 + 5*h + 13. What is the remainder when w(-9) is divided by v?
10
Let y = -4 + 7. Suppose -l + 3 = -5*u - 4, -5*l - y*u + 63 = 0. What is the remainder when 118 is divided by l?
10
Let p = 41 - -21. What is the remainder when 180 is divided by p?
56
Let v(m) = -20*m + 131. Calculate the remainder when v(4) is divided by 33.
18
Let o(i) = -5*i - 19. Let y(h) be the second derivative of h**5/4 + h**4/6 + h**3/3 - h**2 - 3*h. Calculate the remainder when y(2) is divided by o(-9).
24
Suppose -4*a - 2*t + 280 = 0, -5*a + 373 - 23 = -3*t. Suppose 2*w + 3*w - a = 0. Calculate the remainder when 136 is divided by w.
10
Let g(p) = -2*p**3 - 4*p**2 + 5*p + 4. What is the remainder when g(-4) is divided by (-87)/(-6) - (-69)/(-46)?
9
Let a = 54 - 40. Calculate the remainder when 489 is divided by a.
13
Calculate the remainder when 317 is divided by 22*(-16 + 10)/(-6).
9
What is the remainder when 19 is divided by -2 - -2 - 9/(-3)?
1
Let a(w) = w**2 - 26*w + 16. What is the remainder when 303 is divided by a(26)?
15
Suppose -5*t = 2 + 3. What is the remainder when 13 is divided by 7 + (4 + t - 6)?
1
Suppose -60*p + 327 = -25*p - 32*p. Suppose -43 = -3*c - 2*f + 43, 2*c - 4*f - 52 = 0. Calculate the remainder when p is divided by c.
25
What is the remainder when 2864/10 + 2/(-5) is divided by 17?
14
Let i be 11178/21 + (-4)/14*1. What is the remainder when (0 - (-1)/(4/i)) + 3 is divided by 35?
31
Let v = 12 - 11. Let m = -4 - -18. What is the remainder when m is divided by (1/1)/(v/4)?
2
Let y(g) = -g**3 - g**2 + 94. Suppose -5*v = -8*v + 24. Suppose 0 = -3*l - 2*t + v, 2 + 2 = -2*l + t. What is the remainder when y(l) is divided by 24?
22
Calculate the remainder when 964/4 + (-3 - -18)/5 is divided by 11.
2
Let w(c) = -c**3 + 27*c**2 + 36*c + 47. What is the remainder when w(28) is divided by 40?
31
Let d = -38 - -72. Let q be d/9 + (-2)/(-9). What is the remainder when 178/5 - q/(-10) is divided by 13?
10
Suppose 7*x = -0*x + 1169. Calculate the remainder when x is divided by 56.
55
Suppose 0 = 6*u - u - 15. Suppose -q = u*q - 92. Let a = q + 0. What is the remainder when 91 is divided by a?
22
Let z = 45 + -29. Suppose 0 = 2*i - 22 - 40. Let d = i + 15. Calculate the remainder when d is divided by z.
14
Let w(m) be the third derivative of -m**5/60 + 11*m**4/24 + 5*m**3/2 - 2*m**2. Let z(r) = -8*r + 4. What is the remainder when z(-3) is divided by w(11)?
13
Suppose 15 = -26*s + 41*s. Suppose 4*b - 7 = 3*n + 3, 2*n = 3*b - 7. What is the remainder when b is divided by s?
0
Let h = 0 + 2. Suppose 4*z - 2*w = -5*w + 125, -h*w = 3*z - 94. What is the remainder when 63 is divided by z?
31
Suppose 417 + 38 = 13*m. Let g be 2*1*15/6. Suppose -g*h + 100 = -m. Calculate the remainder when h is divided by 7.
6
What is the remainder when (-9)/(((-33)/(-132))/((-2)/4)) is divided by 3?
0
Suppose -3*o + 19 = -4*t, 4*o = -o - 5*t + 20. Let q be 3/o - (-12)/5. Suppose q*s - 56 = -s. What is the remainder when 39 is divided by s?
11
Let g = 1354 + -1125. What is the remainder when g is divided by 18?
13
Suppose 4*l - 92 = 3*h, 0*l - h = -3*l + 74. Calculate the remainder when 102 is divided by l.
24
Let x be 4/(-10) + 48/20 + 11. Let v = 13 + x. Calculate the remainder when 98 is divided by v.
20
Suppose 360 = 23*x + 17*x. Calculate the remainder when 62 is divided by x.
8
Suppose -m - 6 = -12. What is the remainder when 43 is divided by m*(-20)/(-24)*3?
13
Suppose -37*b = -80*b + 645. Calculate the remainder when 74 - (-5)/(15/(-6)) is divided by b.
12
Suppose 3*x = 2*x + 10. Let m = 15 + -13. Suppose 4 + 72 = m*s. Calculate the remainder when s is divided by x.
8
Let v = -7 - -12. Suppose 3*t = -4*t + 21. Suppose 73 = 3*b + v*s, 2*b + 0*s - 36 = t*s. Calculate the remainder when b is divided by 8.
5
What is the remainder when 576 is divided by (64 + (-18)/3)*(2 - 1)?
54
Let h(i) = -i**2 + 17*i - 4. Let g be h(17). Calculate the remainder when (-2 - -8)/(g/(-46)) is divided by 18.
15
Let f be ((-15)/(-6))/((-15)/20 + 2). Suppose -5 = -f*a + 15. What is the remainder when 37 is divided by a?
7
Let m = 413 - 354. Calculate the remainder when 191 is divided by m.
14
Suppose 22 = -3*o - 5*b, 4*o + 0*o + 2*b + 34 = 0. Calculate the remainder when ((-12)/15)/(4/(-50)) is divided by o/5*15/(-9).
1
Let p = -5716 + 5731. Let d = -9 - -18. Calculate the remainder when p is divided by d.
6
Suppose 10*v - 36 = -j + 9*v, -15 = 3*v. Calculate the remainder when j is divided by 6.
5
Let i(t) = 2*t**3 - 2*t + 2. Suppose -3*s = -2*s - 8. Suppose -2*b - s = -6*b. What is the remainder when i(b) is divided by 5?
4
Let u(r) = 45*r**2 + r. Let n be u(2). Suppose 3*w = n + 160. Calculate the remainder when w is divided by 29.
27
Let n(s) = 7*s**2 + 8 + 3*s - s**3 + 0*s**2 + 0*s + 0*s. Suppos