hat is the remainder when (-1 + -2)*-13 - p is divided by 10?
8
Suppose -11*k - 470 + 1570 = 0. What is the remainder when 312 is divided by k?
12
Suppose 0 = -5*j - 6*f + 3*f - 17, 0 = f + 4. Let v(m) = 24*m**2 - m - 1. Calculate the remainder when 68 is divided by v(j).
20
Suppose 400 = 2*q + 2*q. What is the remainder when 59 is divided by ((q/8)/5)/((-1)/(-8))?
19
Let l(f) = -f**3 + 35*f**2 - 2*f + 94. Suppose y + 3 = 8. What is the remainder when l(35) is divided by y?
4
Suppose 7 - 72 = -5*u. Suppose -176 = -u*x + 201. Calculate the remainder when 113 is divided by x.
26
Suppose -j + 3 = 2*o - 0*j, 3 = j. Suppose 7*m - m - 114 = o. Suppose 2*r + 2 = 114. What is the remainder when r is divided by m?
18
Suppose 25*l - 30*l = -50. Let u be (-508)/14 + 6/21. Let g = -8 - u. Calculate the remainder when g is divided by l.
8
Let v = 432 + -313. What is the remainder when v is divided by 48?
23
Let a = -20 + 34. Suppose -46 = -4*t - a. Let b = 98 + -84. Calculate the remainder when b is divided by t.
6
Let v = -658 - -1835. What is the remainder when v is divided by 118?
115
Let p = -34 + 51. Let w = 2251 - 2184. What is the remainder when w is divided by p?
16
Suppose 3*s = 4*w - 199, 13*w = 10*w + 3*s + 153. Calculate the remainder when w is divided by 10.
6
Suppose -102 + 26 = -4*h. Let i be 3/(12/20) + -3. Calculate the remainder when 17*(2 - 3)*i*-1 is divided by h.
15
Let s be 14/4 - (-7)/(-14). Let k(v) = 14*v - 20. What is the remainder when k(2) is divided by (2/s)/((-2)/(-9))?
2
Let j be ((-6)/8)/(1/4). Suppose -752 + 292 = -20*s. Calculate the remainder when 2/j - 131/(-3) is divided by s.
20
Suppose -3*b - b = 0. Suppose b*k - k + 4 = 0. What is the remainder when k is divided by 3?
1
Suppose -157*g + 156*g = -27. What is the remainder when 132 is divided by g?
24
Suppose o = 5*s - 12, 2*o + 2*s - 15 = -o. Suppose 0 = 3*f + 2*c + 96 - 314, 198 = o*f - 3*c. Calculate the remainder when f is divided by 36.
34
Suppose 4*w + 4*c - 9*c = 503, 0 = -4*w - 3*c + 479. What is the remainder when w is divided by 16?
10
Let o = 1949 - 1211. Calculate the remainder when o is divided by 53.
49
Suppose -4*r = -2*t - 21 - 17, r = 4*t + 6. What is the remainder when 188 is divided by r?
8
Let g(m) = -m**2 - 12*m + 8. Let y be g(-12). Suppose 255 + 121 = y*d. What is the remainder when d is divided by 17?
13
Suppose -2290*s - 603 = -2299*s. Calculate the remainder when s is divided by 48.
19
Let h = 25 - -3. Let j(f) = 4*f**2 + 4*f - 3. Let l be j(1). Suppose -2*r - 19 = -3*s + 13, 0 = -l*s - 5*r + 45. What is the remainder when h is divided by s?
8
Suppose 78 = -0*o - 2*o. Let f = 22 + o. Let p = -7 - f. What is the remainder when 28 is divided by p?
8
Suppose 71*r - 72*r = -10. Suppose 0 = -10*j + 60 + r. Calculate the remainder when 27 is divided by j.
6
Suppose 0 = -32*j + 1553 - 241. Calculate the remainder when 74 is divided by j.
33
Calculate the remainder when 173 is divided by ((-72)/(-15))/(1135/125 + -9).
53
Suppose 0 = -10*x + 7*x - 420. Let w = x + 152. Let y(m) = -20*m + 1. Calculate the remainder when y(-1) is divided by w.
9
Suppose 0 = -r - 2*r + 105. What is the remainder when (2085/105)/(1/7) is divided by r?
34
Let i = 276 + -236. Let u(h) = -h - 1. Let n be u(-2). What is the remainder when i is divided by 2*-1*n + 23?
19
Suppose z - 4*z = -198. Calculate the remainder when z is divided by -6 + 1 - (-10 + 6)*7.
20
Let c = -457 - -786. What is the remainder when c is divided by 22?
21
Let c = -93 + 182. Let l = 32 + -29. Suppose -l = -3*o + 87. Calculate the remainder when c is divided by o.
29
Let o = 37 - 22. Suppose -4*r = -5*r + 3*f, 3*r = -5*f + 14. What is the remainder when r is divided by 57/o - 20/25?
0
Let s(u) = u**2 + u + 1. Suppose 4*v - 18 = -26. What is the remainder when 11 is divided by s(v)?
2
Suppose 2*c + 3*c = 2*n + 15, -3*c - 35 = n. Calculate the remainder when 984/n*(-10)/4 is divided by 25.
23
Let t(n) = 8*n**3 - 3*n**2 + n - 1. Let o be t(2). Let s = -11 + o. Suppose s = -3*l + 144. Calculate the remainder when l is divided by 18.
16
Let v = -46 + 66. Calculate the remainder when 35 is divided by v.
15
Suppose 5*g = 2*v - v + 28, 2*g - 16 = 2*v. What is the remainder when (-4)/(-5) + 12/10 - -20 is divided by g?
2
Suppose -4*p = -3*n + 2*n + 16, -5*n = -5*p - 80. Calculate the remainder when (2 - 0)*5*11 is divided by n.
14
Let f(s) = -s**2 + 6*s + 6. Let y = 22 - -19. What is the remainder when y is divided by f(5)?
8
Let g(w) = -w**2 + 13*w + 11. Let x be g(14). Calculate the remainder when 123 is divided by 6/(-8)*28*3/x.
18
Let h be 32/(-48) + (-148)/(-6). Suppose 4*a + 0*a - h = 0. Suppose 17 = g - 2*n, -4*n + 117 = 5*g - a*n. What is the remainder when g is divided by 9?
7
Let o = 12 - 10. Calculate the remainder when 85 is divided by (-6)/o*(-1 + 114/(-18)).
19
Suppose -52*s + 175 = -47*s. Calculate the remainder when 169 is divided by s.
29
Suppose 3*x = -3*q + 168, -231 = 6*q - 10*q + 3*x. What is the remainder when 113 is divided by q?
56
Let g(a) = 7*a - 1. Suppose 0 = -5*z - 3*d + 14, d + 0 - 1 = 2*z. Suppose 2*j + 40 = 6*j. What is the remainder when j is divided by g(z)?
4
Suppose 4*a - 5*j - 29 = 51, 3*j = 4*a - 72. Suppose 355 = 4*i + 3*w, 1 + 0 = w. What is the remainder when i is divided by a?
13
Let a = -1181 + 1243. Let d(u) = -2*u + 6. Calculate the remainder when a is divided by d(-5).
14
Let d(k) be the first derivative of k**3/3 + 7*k**2 - 22*k - 11. What is the remainder when (-4)/6 + 357/9 is divided by d(-16)?
9
Let m(x) = 4*x - 7. Let f(v) = 12*v - 20. Let j(s) = -3*f(s) + 10*m(s). What is the remainder when 37 is divided by j(5)?
7
Let a be -60*(7 + -3)/(-12). Suppose 5*q = a, 3*q + 12 = l - 2*q. What is the remainder when l is divided by (2/2)/((-3)/(-51))?
15
Suppose 4*o = h + 92, 4*o + 44*h - 92 = 41*h. What is the remainder when o is divided by 13?
10
Let a = -371 - -377. What is the remainder when 56 is divided by a?
2
Let x(o) = -5*o**2 + 6*o**3 + 16 - 7*o**3 - 12*o + 4*o**2 + 13*o**2. What is the remainder when (41 + -3)/(1 - -1) is divided by x(11)?
4
Suppose -6*w + 30 + 54 = 0. Suppose x - b = 7 + w, 0 = -2*b - 4. Calculate the remainder when 37 is divided by x.
18
Let g be (-6)/(-3)*3/2. Suppose 0 = -z + g - 11. Let q(s) = -3*s - 8. Calculate the remainder when 63 is divided by q(z).
15
Suppose 5 - 19 = -f. Calculate the remainder when 530 is divided by f.
12
Suppose 25*t = 577 - 2. What is the remainder when 482 is divided by t?
22
Let k = -36 + 39. What is the remainder when (-1)/(-2) - (-57)/2 is divided by 1*k - (2 - 7)?
5
Suppose -q = z - 6, 2*z - 5*q = 4*z - 27. Calculate the remainder when z/2 + (-38)/(-4) is divided by 7.
3
Let c(r) = r**2 + 31*r + 261. What is the remainder when 246 is divided by c(-8)?
15
What is the remainder when 8/(-22) - (-289884)/1122 is divided by 127?
4
Suppose 32 = k + 5*h, 50 = 5*k + 4*h - 26. Let b be (-1)/(-3) + 32/k. Suppose -4*r = 3*f + 11, r = 5*f + b + 23. Calculate the remainder when r is divided by 1.
0
Let a be ((-33)/(-12))/(1/4). Let t(i) = -i**2 + 12*i + 7. Let n be t(a). Suppose -j + n = 6. What is the remainder when 33 is divided by j?
9
Suppose -2*h - n = -6, 2*n + 0 = 4. What is the remainder when 77 is divided by 3/(-12)*h*-52?
25
Let t(x) = -10*x. Suppose 55*n - 361 = 24. What is the remainder when t(-6) is divided by n?
4
Suppose -5*d - 3*q + 243 = 0, 30 = d + q - 17. Suppose -1110 = -0*r - 5*r. Calculate the remainder when d is divided by 18/42 - r/(-21).
7
Let j(x) = -4*x + 24. Let p(y) = -5*y + 25. Let b(q) = 4*j(q) - 3*p(q). Suppose 3*m = 5*m - 14. Calculate the remainder when b(-6) is divided by m.
6
Let p(c) be the first derivative of -c**4/4 - 5*c**3/3 - 2*c**2 - 9*c - 25. What is the remainder when p(-6) is divided by 11?
7
Let w = -537 + 597. What is the remainder when 114 is divided by w?
54
Suppose -7*x = 4*x - 44. Suppose -2*l = -7*l - 10, 5*v + x*l = 47. Calculate the remainder when 41 is divided by v.
8
Calculate the remainder when 15/((3/134)/((-44)/(-88))) is divided by 26.
23
Let n = 52 + -50. Suppose -v + 0*v + 28 = -n*t, -80 = -5*v - 2*t. What is the remainder when 54 + (0 - (-1 + 2)) is divided by v?
17
Let s = -16 - -5. Let p = s - -10. What is the remainder when (2/(-1))/p - -1 is divi