emainder when s is divided by p.
13
Suppose -s + 6*s = 5*z - 200, -3*s + 102 = 3*z. Let k = -35 + z. Calculate the remainder when 3 is divided by k.
1
Suppose 88 = 253*s - 249*s. Calculate the remainder when 613 is divided by s.
19
Let m(v) = -v**3 + 11*v**2 + 2*v + 20. Let i be m(12). What is the remainder when (i/(-150))/(1*2/402) is divided by 34?
32
Let v be (-24)/9*(-3 - 3/(-2)). Suppose -3*a + 55 = 2*a - w, -11 = -a + v*w. Calculate the remainder when 73 is divided by a.
7
Let s = 91 - 25. Let q(g) = g**2 - 3*g - 65. What is the remainder when s is divided by q(11)?
20
Suppose -22*s - 20 = -24*s. Suppose -4*f = 5*w - 0*w - 170, w - 42 = -f. Calculate the remainder when f is divided by ((-56)/s)/((-6)/15).
12
Let v(u) = -u**3 + u**2 - 21*u - 10. Calculate the remainder when v(-5) is divided by 94.
57
Suppose -15*s + 17*s - 8 = 0. What is the remainder when 196/(s/2) - (-34)/17 is divided by 21?
16
Calculate the remainder when 0 - 2*-14*(-63)/(-14) is divided by 27.
18
Let l(b) = -7*b - 49. Calculate the remainder when l(-13) is divided by 4.
2
Let l = -42 - -123. What is the remainder when 396 is divided by l?
72
Suppose 0 = 2*j - 107 + 63. What is the remainder when j is divided by 16?
6
Suppose -h - 3 = -6. Suppose -5*o - h*j + 165 = 0, -2*j + 66 = 2*o + 3*j. What is the remainder when o is divided by 12?
9
Suppose 0 = -3*k - 2*h + 11, -2*h - 39 = -4*k - 15. Suppose 2*r - k*r = 228. Let f = -44 - r. What is the remainder when 127 is divided by f?
31
Let x(o) = o**3 - 16*o**2 - 25*o + 29. Calculate the remainder when x(18) is divided by 12.
11
Let m(y) = -7*y**3 + 3*y**2 + 20*y + 5. Let r(o) = 3*o**3 - o**2 - 10*o - 3. Let a(d) = -2*m(d) - 5*r(d). What is the remainder when 37 is divided by a(-4)?
11
Let p be (-1)/(-2) - (-6)/4. Suppose 4*y + 3*q = 8, -q - 20 = 4*y - 5*q. Calculate the remainder when 35 is divided by 21 - p - (1 + y).
16
Let w(m) = 2*m + 438. What is the remainder when w(-11) is divided by 19?
17
Let y(w) = w**3 + 3*w**2 - w - 1. Let u(b) be the first derivative of -b**4/4 - 4*b**3/3 + 10*b + 1. Calculate the remainder when u(-6) is divided by y(2).
14
Let f(u) = 20*u**2 + 31*u - 88. Calculate the remainder when f(3) is divided by 47.
44
What is the remainder when 107 is divided by (14 + -3)*(2*-1 + 6)?
19
Let d(o) = 54*o + 270. Calculate the remainder when d(-4) is divided by 21.
12
Suppose -z - 2*z = 5*c - 392, 2*z = 2*c - 160. Let p = -49 + c. Suppose -5*x - y = -57, 62 = 4*x - 3*y + 24. What is the remainder when p is divided by x?
8
Suppose 27 = -0*a + a. Let d(q) = 2*q**2 - q - 1. Let p be d(3). What is the remainder when a is divided by (p/4)/(13/26)?
6
Suppose 0*j = -3*j. Let w(q) be the second derivative of q**3/6 + 5*q**2/2 + 7*q. Calculate the remainder when 14 is divided by w(j).
4
Suppose -l + 3 = 0, t - 32 = -2*l - 3. Let h(s) = -s**2 + 6*s + 2. Let c be h(6). What is the remainder when (201/(-3))/(1 - c) is divided by t?
21
Calculate the remainder when 13254/96 + (-2)/32 is divided by 34.
2
Let h = -1378 - -1387. What is the remainder when 241 is divided by h?
7
Suppose 0 = -25*o + 106 - 31. What is the remainder when 16 is divided by o?
1
Let s = -384 + 591. What is the remainder when s is divided by 52?
51
Suppose p = 0, -p = -j - 7 + 1. Let r(l) = -l**3 - 5*l**2 + 4*l - 2. Calculate the remainder when 39 is divided by r(j).
9
Suppose 5*z = -2*i - 0*i + 48, -3*i = -5*z - 22. Let f = i - -60. What is the remainder when f is divided by 15?
14
Suppose 260 = 5*a - 5*l, -3*l = -a - 0*l + 58. Let w = -35 + a. Calculate the remainder when 67 is divided by w.
11
Suppose -6*t = -24*t + 3690. Calculate the remainder when t is divided by 13.
10
Let a = 47 + -7. Let w = 1435 - 1421. Calculate the remainder when a is divided by w.
12
Suppose 7*m + 6 + 15 = 0. Calculate the remainder when 20 is divided by (-9 + 2)*(-4 - m).
6
Let t = -56 - -41. Suppose -s = 3*s - 84. Let l = t + s. Calculate the remainder when 21 is divided by l.
3
Suppose -4*r - 428 = -2*q, -3*r + 650 = 3*q - r. What is the remainder when q is divided by 44?
40
Let q = 147 + -69. Calculate the remainder when q is divided by 14.
8
Suppose 6*x + 5 = 65. Let z(o) = o**2 - 9*o - 15. Calculate the remainder when z(13) is divided by x.
7
Suppose -3*p + 24 = -21. Suppose -79 = p*w - 484. Calculate the remainder when w is divided by 18.
9
Let t(l) = 4*l**2 + 8*l + 3. Let z be t(-3). Let b be 8/(-6)*z/(-5). Suppose 7*r - 159 = b*r. Calculate the remainder when r is divided by 14.
11
Suppose 5*t - 900 = -3*b, 1200 = -96*b + 100*b - 3*t. Calculate the remainder when b is divided by 110.
80
Suppose 4*w - 179 = -67. Let n = w - 0. Suppose -12 - n = -2*x. Calculate the remainder when x is divided by 12.
8
Let l(a) = a**2 + 10*a + 4. Let d be l(-10). Let z be -1 - -1*d*1. Suppose 2*q = 4, 3*q + 15 + 48 = z*w. What is the remainder when w is divided by 12?
11
Suppose 3*a = -3*r + 1 - 7, 4*a - 22 = r. Let h be 279/r - (-6)/4. What is the remainder when 3/6 - h/2 is divided by 8?
7
Suppose -12*z - 335 + 2219 = 0. What is the remainder when z is divided by 45?
22
Let z(u) = -u**3 - u**2. Let m be z(-2). Suppose 0 = m*j - 81 + 9. What is the remainder when 89 is divided by j?
17
Let j be 4/3*51/(-34). Calculate the remainder when -5 - j - (0 - (1 - -31)) is divided by 16.
13
Let z(r) = 18*r + 4 - 13*r + 3*r**2 - 4*r**2. Let o be z(6). Let n(t) = -t**3 + t**2 - 1. What is the remainder when 41 is divided by n(o)?
8
Calculate the remainder when 228 is divided by ((-105)/(-120))/(4/96).
18
Let l = -38 - -43. Let n(w) = 3*w**2 - 3*w. What is the remainder when n(2) is divided by l?
1
Suppose 4*v + 2*d + 204 = 5*v, 2*v = 5*d + 407. Let g = 270 - 218. What is the remainder when v is divided by g?
50
Suppose l + 2*m + 5 = 0, -13*m = 4*l - 14*m - 7. Calculate the remainder when 7 is divided by l.
0
Suppose 5 = b - 0*b. What is the remainder when (108/(-90))/((-2)/10) is divided by b?
1
Let y(n) = -n**2 - 8*n + 24. What is the remainder when 99 is divided by y(-7)?
6
Suppose -5*h - 70 = -15*h. What is the remainder when 42 is divided by h?
0
Let l be 180/54*3/(-2). Let b(x) = -x**2 - 8*x - 7. What is the remainder when 30 is divided by b(l)?
6
Suppose -3*p - 3*f + 114 = 0, 0*p + 2*p - 3*f = 81. Suppose -4*v - v + 65 = 3*w, 3*v + w - p = 0. Calculate the remainder when v is divided by 4.
1
Let a = 127 - 71. Suppose -3*f + 15 - 3 = 0, 2*u - 2*f + 76 = 0. Let t = a + u. Calculate the remainder when 87 is divided by t.
21
Suppose -22*k = -10*k - 10332. What is the remainder when k is divided by 27?
24
Let m(l) = 9*l**2 + 8*l + 10. What is the remainder when (-244)/(-4) - 4/1 is divided by m(-2)?
27
Suppose 2*m - 44 = -2*w - 0*m, -2*w + 44 = m. What is the remainder when -1*(15 + -14)*-31 is divided by w?
9
Suppose 0 = -d + 7. Let o(x) = -x**3 - 10*x**2 + 10*x + 1. Suppose 3*u - 5*w = -17 - 6, w - 53 = 5*u. Calculate the remainder when o(u) is divided by d.
5
Suppose -59*n - 163 = -60*n. What is the remainder when n is divided by 26?
7
Let c be ((-5)/(-3))/((-2)/24). Suppose 57*w - 43*w = 266. Let a = w - c. What is the remainder when 75 is divided by a?
36
Suppose -37*f - 372 = -41*f. What is the remainder when f is divided by 49?
44
Suppose 1300 = -3*s + 1780. What is the remainder when s is divided by (82/(-4))/(4/(-8))?
37
Let i = 13 - 11. Suppose -5*w - 3*q + 143 = 0, -2*w + i*q + 70 = -0*q. Let h = -2 - -19. Calculate the remainder when w is divided by h.
14
Let h = -12 + 16. Suppose 5*v = -r + 14, 0 = v + h*r + 2 - 1. Suppose -v*w = -2*w - 11. Calculate the remainder when w is divided by 7.
4
Let z be -1 - 2*(-4)/(-8). Let j(r) = 0*r**3 - 5*r**2 + 5*r**2 - r**3. Calculate the remainder when 12 is divided by j(z).
4
Calculate the remainder when 433 is divided by 23 + (-6)/9*-9.
27
Let u = 35 - 35. Suppose 3*y = 2*l - 36, u*l - y = -2*l + 32. What is the remainder when 3 + -1 - (-80)/2 is divided by l?
12
Let c = -1766 - -1807. What is the remainder when 50 is divided by c?
9
What is the remainder when 78 is divided by (2 - 12/1)/(33/(-33))?
8
Suppose 3*f - 48 = -f. Calculate the remainder when (1 - 80/f)*-6 is divided by 10/(-2)*90/(-50).
7
Suppose 0 = 4*u - k - 503, -5*u + 6*u - 3*k = 123. Suppose 2*d - u = -5*q - d, -d = -2. Calculate the remainder when q is divided by 5