p) = -219*p - 420. What is the remainder when 377 is divided by l(-2)?
17
Suppose 0 = 12*g + 162 - 42. What is the remainder when 164 is divided by -1*1148/(-35) - 2/g?
32
Let j be -1 + 1 - 67/(-2 + 1). Let k = 89 - j. Calculate the remainder when 108 is divided by k.
20
Suppose -3*l + 0*q + 2 = 2*q, -5*q - 12 = -l. Suppose -5 = -z - 0. Suppose -3*f = -2*c - c + 33, l*c - 43 = -z*f. What is the remainder when c is divided by 9?
5
Let d(m) be the second derivative of m**5/20 + m**4/2 - 5*m**3/6 + 3*m**2/2 + 10*m. What is the remainder when d(-6) is divided by 9?
6
Let y = 718 + -519. Calculate the remainder when y is divided by 194.
5
Let y(q) = 4*q - 8. Let l be ((-60)/2)/((-4)/(-4)). Let c = 91 + l. What is the remainder when c is divided by y(6)?
13
Let t be 2 + 1/1 + 0. Let s(x) = 6 - 2*x**2 + 4*x**3 - 4*x - 3*x**t + x. What is the remainder when 8 is divided by s(3)?
2
Let w(g) = 2*g**3 + 4*g - 4. Let m be w(2). Suppose -6*a = -3*a + 4*k - 65, 3*a - 5*k = m. What is the remainder when 58 is divided by a?
13
Suppose 11 = 3*q - 5*b, 0 = q - 3*b - 1 - 0. Suppose -9*w + 4*w + 30 = 0. Calculate the remainder when q is divided by w.
1
Let n be 2 + -1 - (0 - 3). Suppose 3 - n = -3*b + 4*a, -a = -2. Suppose 122 = 5*w - b*w. Calculate the remainder when w is divided by 21.
19
Suppose a - 232 = 4*a + v, 0 = -v + 5. Let r = -57 - a. What is the remainder when 87 is divided by r?
21
Let y(d) = d**3 + 19*d**2 + 12*d - 185. Calculate the remainder when y(-17) is divided by 16.
13
Let l(z) be the third derivative of z**5/60 - 13*z**3/6 - z**2. Suppose -4*q + 36 = 4*t, -4 = -4*t - 0*t. Calculate the remainder when l(6) is divided by q.
7
Let f(u) = u**2 + 4*u**2 + 21*u - 4*u**2 - 12*u - 5. Let m = 9 - 5. Calculate the remainder when f(m) is divided by 12.
11
Suppose -3*k + 6 = 0, -3*b + 0*b + 56 = -2*k. Suppose t - 11 = -2*h, -4*t + b = -0*t. What is the remainder when 6 + 5 - (-2)/(-2) is divided by h?
1
Suppose -l - 3*f = -0 - 30, 2*f = -5*l + 124. Let j(g) = -g**3 + g**2 + 94. What is the remainder when j(0) is divided by l?
22
Let h(c) = c + 17. Let x(z) = -z**2 + 4. Let l be x(4). Let u be h(l). Let o = u - -8. What is the remainder when 36 is divided by o?
10
Let m be (16 - (1 - 1)) + 2. Let j(g) = 8*g + 5. Calculate the remainder when j(4) is divided by -2 - m/12*(-44)/3.
17
Let y(p) = p**3 - 13*p**2 + 21*p - 1. What is the remainder when y(12) is divided by 18?
17
Let s(h) = -15*h - 106. What is the remainder when 238 is divided by s(-12)?
16
Suppose -32 = 4*f + 2*t - 230, -3*t + 147 = 3*f. Suppose 0 = 2*n - 138 + f. Calculate the remainder when n is divided by 11.
0
Let l = -1 - -6. Let r(a) = a**3 + 15*a**2 + a + 19. Let x(b) = b**3 + 11*b**2 + 13*b + 15. Let m be x(-10). Calculate the remainder when l is divided by r(m).
1
Suppose -4*f + 410 = 5*z, -3*f - 7*z + 290 = -12*z. What is the remainder when 396 is divided by f?
96
Suppose -1 = -5*v - 6, 0 = 5*g - 4*v - 169. Let p = -1818 - -1948. What is the remainder when p is divided by g?
31
Suppose -4*s + 4 = 4*x + 52, -5*s + x = 72. Let h(t) = 3*t + 40. Let n be h(-4). What is the remainder when (-12)/n - 440/s is divided by 16?
15
Suppose -5*j - 6 = 9. Let a = -2 - j. What is the remainder when 51 is divided by a + 1 + 21 + 3?
25
Suppose g + 283 = 5*a, 3*a - 289 = -2*a - 2*g. Calculate the remainder when a is divided by 9.
3
What is the remainder when 2624/24 - 10/(-15) is divided by 3 - (-22 - (6 - 3))?
26
Let d = -5 - -37. Let i = d - 32. Suppose i = 8*s - 22 - 18. What is the remainder when 14 is divided by s?
4
Suppose 179*s - 496 = 171*s. Suppose 2*j + 38 = 4*j + 3*r, -3*j + 40 = -4*r. What is the remainder when s is divided by j?
14
Let q(i) = -2*i + 5. Suppose 0 = -4*t + 20, -4*b - 14 = -4*t - 2. Calculate the remainder when q(-8) is divided by (b/6 - 1)*-9.
3
Let l(h) = 4*h + 17. Suppose 0 = g - 42 - 1. Calculate the remainder when g is divided by l(-3).
3
Let y(i) = i**2 - 7*i - 10. Let v be y(7). What is the remainder when (112/v)/(12/(-60)) is divided by 15?
11
Suppose 0 = 4*b - 2*q - 90 - 64, -2*b - 3*q + 89 = 0. Suppose 0 = u + 4*u - b. Calculate the remainder when u is divided by 3.
2
Suppose 0 = -3*x + x. Let s be x/((-4)/(12/3)). Suppose s*n - 430 = -5*n. Calculate the remainder when n is divided by 29.
28
Let q = 110 - 47. Suppose 20*u - 39 - 432 = -151. Calculate the remainder when q is divided by u.
15
Let u(v) = v**3 - 8*v**2 + 28*v - 132. Calculate the remainder when 117 is divided by u(7).
12
Suppose 5*o - 3*h = 1918, 4*h - 25 + 29 = 0. What is the remainder when o is divided by 100?
83
Suppose 3 - 13 = -2*z. Suppose z*r - 21 = 2*r. Calculate the remainder when r is divided by 2.
1
Suppose 2*g - 28 = -0. Suppose -7*t - 162 = -9*t. Calculate the remainder when t is divided by g.
11
Let m(q) = -q**2 + q + 6. Let a be m(2). Suppose 5*p = -4*g + 75, -18 = -a*g + 4*p + 30. What is the remainder when 58 is divided by g?
13
Let i = 237 + -224. Calculate the remainder when 100 is divided by i.
9
Suppose 6*m = m + 5*b + 420, -3*m = 4*b - 259. What is the remainder when m is divided by (27/6 - 5)*-86?
42
Suppose 147 = 2*l - 4*y + 17, l - 35 = -4*y. Let s(m) = -m**2 - 13*m + 19. Calculate the remainder when l is divided by s(-13).
17
Suppose -5*b = j - 4 - 1, j - 5*b = -5. Let i(q) = q + 143. What is the remainder when i(j) is divided by 29?
27
Let w be (-3)/(-6)*(3 + 3). Suppose 9 + 21 = w*b. Calculate the remainder when 38 is divided by b.
8
Calculate the remainder when 55 is divided by (-6)/(-10) - (-682)/55.
3
Let s = 229 + -151. Suppose -i - 23 = -z - 6, -s = -5*z - 2*i. Suppose -2*h = -5*d + h + 162, -134 = -5*d - 4*h. Calculate the remainder when d is divided by z.
14
Let s(n) = 150*n + 85. What is the remainder when 243 is divided by s(0)?
73
Let o(k) = 6*k**2 - 191*k + 780. Let x = 11 + 18. What is the remainder when o(4) is divided by x?
25
Let z(x) be the third derivative of x**5/30 + 3*x**4/8 + 2*x**3 - x**2. Suppose -77*f + 70 = -91*f. Calculate the remainder when z(f) is divided by 9.
8
Let j = 38 + 1. Suppose -m = -j + 19. What is the remainder when m is divided by 12?
8
Suppose 0 = -2*v - 6, -5*v = o - 2 - 7. Calculate the remainder when 134 is divided by o.
14
Suppose 10*d - 136 - 424 = 0. What is the remainder when d is divided by 18?
2
Let k = -21 + 7. Calculate the remainder when 29 is divided by 2 + k*4/(-4).
13
Let q = 37 + -28. Suppose q*p = 12*p - 330. What is the remainder when p is divided by 37?
36
Let o = 548 + -435. What is the remainder when o is divided by 49?
15
Let x = 6 + 7. Suppose -4*o - 5*w + 17 = 0, -w = 5*o - 20 + 4. What is the remainder when x is divided by o?
1
Let v = 2 - 0. Let i(d) be the first derivative of d**4/4 + 2*d**3/3 + d**2/2 + 15. What is the remainder when 53 is divided by i(v)?
17
Let p(j) be the second derivative of j**5/20 + j**4/3 + j**3/3 - 2*j. Let r be p(-3). Calculate the remainder when ((-1)/r)/(1/(-279)) is divided by 24.
21
Suppose 29*k - 2493 = 2872. Calculate the remainder when k is divided by 63.
59
Suppose 60 = 2*k - 6. Let f(a) = 3*a**2 + a + 2. Calculate the remainder when k is divided by f(-2).
9
Suppose 0 = -5*i + o + 54, 4*i - 52 = o + 2*o. Suppose 16 = l - i. Let b(x) = -x**3 - 4*x**2 - 2*x + 1. Calculate the remainder when l is divided by b(-4).
8
Suppose 3*j - w - 567 = 0, j - 11*w = -9*w + 194. What is the remainder when j is divided by 33?
23
Suppose 5*l - 4*r = -2*r + 52, 2*l - 3*r = 23. What is the remainder when 17 is divided by l?
7
Suppose 3*f - 38 = 184. Suppose 0 = -3*m - 54 + 69. Suppose k + k - 4*o - 34 = 0, 4*k - f = m*o. What is the remainder when k is divided by 8?
5
Suppose -m = -6*m + 165. Let n be (-22)/m*(-30)/4. Suppose 0 = 4*h - n*h + 13. Calculate the remainder when h is divided by 4.
1
Let t(f) = 5*f - 1. Let s be t(1). Let j(u) = u**2 - 5*u + 14. Calculate the remainder when 34 is divided by j(s).
4
Suppose 17*k - 59 = -2*c + 22*k, 3*k + 28 = c. Let t(g) = g**3 + g**2 - g + 20. Calculate the remainder when c is divided by t(0).
17
Suppose -z + 3*d = 4*z - 8, 4*z = 2*d + 8. Suppose -6 - 2 = -z*i. Suppose 1 = -2*g - 3, 0 = i*h - 3*g - 30. What is the remainder when 33 is divided by h?
9
Let x = -18 + 69. What is the remainder when 200 is divided by x?
47
Suppose -171 = -9*l - 0. Le