315. What is the remainder when g is divided by f?
32
Suppose -2*t + 3*r = -3*t + 42, -116 = -3*t + r. Let g(u) = u**2 + 2*u - 2. Let v be g(3). Suppose v = h + 3. Calculate the remainder when t is divided by h.
9
Let g = -246 + 286. What is the remainder when g is divided by 8?
0
What is the remainder when 56 is divided by -7 + 4 - (1 + -22)?
2
Suppose 3*s - 2*j = 17, -3*j = -5*s + 20 + 9. What is the remainder when 81 is divided by s?
4
Calculate the remainder when 60 is divided by (-565)/(-75)*5 - 10/15.
23
Let k(m) = -8*m**2 - 3*m - 5. Let r be ((-12)/(-30))/(2/(-10)). Let w be k(r). What is the remainder when (w/3)/((-12)/36) is divided by 16?
15
Let d = 0 + 4. Let s(m) be the first derivative of -m**4/2 - m**3/3 - m**2 - 2*m - 2. What is the remainder when s(-2) is divided by d?
2
Let t(r) = r**3 - 3*r**2 - 2*r + 7. Let z be t(3). Let i be z/4 - (-327)/4. Let m = i + -55. What is the remainder when 52 is divided by m?
25
Suppose -y + 4*o = 5, -8*y + 3*y - 6 = -o. Calculate the remainder when 54 is divided by 10 - y - (-8 + 5).
12
Let n = 5 + 3. Let u(t) = 8*t**3 - 8*t + 15. Calculate the remainder when u(2) is divided by n.
7
Suppose -3*o - 13 = 2*i - 45, 5*i = 4*o + 80. What is the remainder when 558 is divided by i?
14
Suppose -336*y = -346*y + 90. Calculate the remainder when 185 is divided by y.
5
Let h be 3/9 + -8*(-1)/3. Suppose -24 = -h*c + 3*t, -3*c = -2*c - 5*t - 12. What is the remainder when 18 is divided by c?
4
Suppose -11*v + 6*v + 65 = 0. Let p = v - -92. What is the remainder when p is divided by 36?
33
Calculate the remainder when 84 is divided by (-1503)/(-81) + (-12)/(-27).
8
Let v be (-6)/(-2) + 50/2. What is the remainder when 69 is divided by 14*(v/8 - 1)?
34
Let o = -77 - -70. Let z(c) = -c**3 - 8*c**2 - 8*c + 10. Calculate the remainder when 101 is divided by z(o).
16
Let h be (16 + 3)*(-1)/(-1). Suppose 21*v - 116 = h*v. What is the remainder when v is divided by 20?
18
Let n = -41 - -72. Calculate the remainder when n is divided by 27.
4
Suppose -b - 3*y + 58 = 0, 49*y + 264 = 5*b + 51*y. Calculate the remainder when 59 is divided by b.
7
Suppose -112 = -11*z + 42. What is the remainder when 53 is divided by z?
11
Suppose -j - 1 + 19 = 0. Calculate the remainder when (0 - 28/(-21))*7293/68 is divided by j.
17
Let v be ((-12)/(-3) - 4)/(-1). Let j = v - -5. Suppose -j*k + 0*k + 189 = 3*r, -2*r + 78 = 2*k. Calculate the remainder when k is divided by 13.
10
Let y(j) = -12*j**3 - j**2. Calculate the remainder when y(-1) is divided by (-6)/(-6 - -12) + 4.
2
Let l = 184 - 75. Calculate the remainder when l is divided by 37.
35
Let x = -130 + 259. Let f(g) = -3*g**3 + 111*g**2 + g - 11. What is the remainder when x is divided by f(37)?
25
Let y be (1/(-3)*-1)/(71/(-639)). What is the remainder when 0 + (-42 - (-7 - y))*-2 is divided by 21?
13
Let z = 192 + -169. What is the remainder when z is divided by 12?
11
Suppose 3*p - 20 = -p, 3*p = -5*l + 145. What is the remainder when l is divided by 7?
5
Suppose -8 + 0 = -2*j. Let r = -179 - -182. What is the remainder when j is divided by r?
1
Let k(d) = 2*d - 3*d - 5*d**3 + 10*d**3 - d**2. Suppose 2*l - 4*q - 205 = -l, 4*l - 4*q = 272. What is the remainder when l is divided by k(2)?
33
Let g = 204 - 156. Calculate the remainder when 88 is divided by g.
40
Let l = -120 - -123. Calculate the remainder when (-368)/(-14) - 2/7 is divided by -5*l*(-2)/(-1 + 3).
11
Suppose 4*m + 32 = 6*m. Suppose -3*j + c + 325 = 5*c, 0 = -j + 2*c + 105. What is the remainder when j is divided by m?
11
Suppose -3*h + 33 = -69. Let p be 3 + -2 - ((-2 - -1) + 11). Calculate the remainder when h is divided by (-63)/14*(96/p)/4.
10
Let d(m) = m**3 - 9*m**2 + 6*m - 41. Calculate the remainder when 375 is divided by d(9).
11
Let n be (8/6)/(4/54). Let i = n - 18. What is the remainder when 41 is divided by (i - -1) + 14 + -1?
13
Let p(x) = 24*x**2 - 274*x + 126. Calculate the remainder when p(11) is divided by (-2)/1 - 12/(-1).
6
Suppose -2*b = 35 - 5. Let p = -4 - b. Calculate the remainder when 17 is divided by p.
6
Let g be (-4)/12 + -2 + 103/3. Let y = 393 - g. What is the remainder when y is divided by 52?
49
Let m = 22 + -7. Let i(n) = 6*n**2 - 22*n + 3. What is the remainder when i(5) is divided by m?
13
Let i(f) = 4*f. Let z be i(1). Suppose -3*u + 5*g = -7*u + 15, -z*g = -u + 9. What is the remainder when 17 is divided by u?
2
Suppose 37 = 8*y + 5. Let x = 21 - 15. Calculate the remainder when x is divided by y.
2
Calculate the remainder when 4 - (-32)/(-7) - 2553/(-21) is divided by 62.
59
Let o be -2 + -1 - (-1 - 1). Let l = o + 15. Calculate the remainder when 27 is divided by l.
13
Suppose i + 3*i = 12. Suppose 3*s + 5 = 5*b, -i*b - 5 = -17. Suppose -5*j + 66 = -p - 2*p, -5*p = 4*j - 38. Calculate the remainder when j is divided by s.
2
Suppose -291*m + 74*m = -1103 - 3454. Suppose -4*c = -43 - 9. Calculate the remainder when m is divided by c.
8
Suppose -4*o = -4*p - 25 - 91, 4*o - p = 116. Calculate the remainder when o is divided by 27.
2
Let c(h) = 3*h**3 + 5*h**2 + 34*h + 1. Let d(q) = 2*q**3 + 3*q**2 + 17*q + 1. Let v(k) = -3*c(k) + 5*d(k). What is the remainder when 14 is divided by v(-4)?
2
Let k = 63 + -44. Suppose 2*s = 61 - 41. What is the remainder when k is divided by s?
9
Let u(g) = g**3 + 7*g**2 + g - 1. Suppose -w - 7 = -16*t + 15*t, -w + 33 = 3*t. Calculate the remainder when u(-6) is divided by t.
9
Let f(y) = -18*y - 259. Let z = -13 - -98. What is the remainder when z is divided by f(-16)?
27
Suppose 105 = 3*l + 36. Let k(g) = 15*g - 78. Calculate the remainder when l is divided by k(6).
11
Let c(r) = -14*r + 61. What is the remainder when c(-6) is divided by 37?
34
Suppose s - 4*q - 672 = 0, -4*q + 225 + 2403 = 4*s. Suppose -8*w + s = 4*w. Calculate the remainder when w is divided by 7.
6
Let u be (-8)/44 - (-114)/22. Let k(x) = x - 5 + 0 + 4*x. What is the remainder when 58 is divided by k(u)?
18
Calculate the remainder when 75 is divided by ((-17)/51)/((-3)/117).
10
Let w(u) = 79*u - 153. Let j(b) = -b + 8. What is the remainder when w(2) is divided by j(7)?
0
Suppose 2*z = -3*p + 3*z + 68, -5*p - 5*z = -140. Suppose 10*b + 1562 = 32*b. What is the remainder when b is divided by p?
23
Let s(q) = -q**3 + 12*q**2 - 10*q - 5. Calculate the remainder when 15 is divided by s(11).
3
Let i(c) = c**3 - 4*c**2 - 4*c + 5. Let l be (12 - 7)/((-1)/(-2)). Suppose p + p = l. Calculate the remainder when 38 is divided by i(p).
8
Suppose -18*b = -147 + 57. Calculate the remainder when 43 is divided by b.
3
Suppose 5*p = -4*k + k - 5, 4*k - p + 22 = 0. Let q(w) = -w**3 - w**2 + 3. Calculate the remainder when (-72)/(-30)*k/(-2) is divided by q(0).
0
Suppose -4*g - q = -2*q - 51, -16 = -g - 3*q. Let j be (g/(-4))/((-4)/16). What is the remainder when (-3 + j)*1/2 is divided by 4?
1
Let j(o) = -2*o**3 - 4*o**2 + 6*o - 2. Let y be j(-6). Suppose -2*x = -7*x + y. Calculate the remainder when x is divided by 15.
5
Let c(k) = 8*k**2 + 11*k - 6. Let v(i) = -9*i**2 - 12*i + 7. Let u(n) = 6*c(n) + 5*v(n). Calculate the remainder when u(5) is divided by 18.
14
Let g(d) = d**2 + 3*d - 17. Calculate the remainder when g(-9) is divided by 21.
16
Suppose 0*t + 9 = 3*t. Suppose 0 = f - 2*d - 14, f - d = 8 + 5. Let r = -8 + f. Calculate the remainder when r is divided by t.
1
Let r(i) = i**3 - 3*i**2 - 6*i + 2. Let k be 2*(0 - (-2 - 0)). Let d be r(k). What is the remainder when 1 - 4*d - 4 is divided by 12?
9
Suppose 3*g = -g - 56. Let r = g + 12. Calculate the remainder when 2 is divided by (-54)/(-24) + r/8.
0
Let i be -3 + (9 - -3 - (-3 + 7)). Suppose 9 = -i*b + 184. Calculate the remainder when b is divided by 10.
5
Suppose 3*s + 5*j = 6*s - 101, 2*s - 4*j = 66. What is the remainder when 257 is divided by s?
35
Let m(o) = 3*o + 56. What is the remainder when m(16) is divided by 0/(-3) + 21/1?
20
Let a = -242 + 274. Calculate the remainder when (-8)/4*93/(-2) is divided by a.
29
Let a be 78*(2/6)/1. Suppose 25 = -2*s + 3*d, -5*s - a = 3*d + 89. Calculate the remainder when 45 is divided by (-325)/s - (-2)/(-8).
13
Calculate the remainder when 2 - 10*10/(-4) is divided by ((-54)/(-12))/(3/10).
12
Let b be 33/55 - (-14)/10. Suppose b*s = -3*r + 92, -r + 2*s + 8 = -36. Let o(u) = u**3 + 4*