- -250. What is the remainder when 348 is divided by p?
8
Suppose -867 = -5*d + 3*v, -7*d - 363 = -v - 1580. What is the remainder when d is divided by 129?
45
Let z = -121 + 219. Let a = 18349 + -18315. Calculate the remainder when z is divided by a.
30
Let n = 40 + -22. Let s = 37 - n. Suppose -2*a - 4*l = l - s, 32 = 3*a + 4*l. Calculate the remainder when 33 is divided by a.
9
Suppose 2*i - 215 = 5*d, -6*i - d = -4*i - 221. What is the remainder when 1096 is divided by i?
106
Let g = -115 - -226. Calculate the remainder when 776 is divided by g.
110
Let q(y) be the first derivative of y**4/4 + 11*y**3/3 - 3*y**2 + y + 8. Let x be q(-12). Let w = -40 - x. Calculate the remainder when w is divided by 16.
15
Let h(g) = g - 3*g - 6*g - 53 - 21. What is the remainder when h(-23) is divided by 19?
15
Let u be (6/(-15))/(1/(-30)). Let z be -6*(u/(-9) + 1). Suppose -4*x - z*n + 242 = 0, 241 = 4*x - 3*n + 6*n. What is the remainder when x is divided by 21?
19
Let d = -1161 - -1243. Calculate the remainder when 223 is divided by d.
59
Let o be (-8)/(-1)*(-6)/12. What is the remainder when 54 is divided by (1*-28)/(2 + o)?
12
Let q = 2480 - 2464. What is the remainder when 573 is divided by q?
13
Suppose 225 = 9*g - 14*g. Let j = -20 - g. Calculate the remainder when 98 is divided by j.
23
Let g(b) = -b**2 + 20*b - 43. Calculate the remainder when 231 is divided by g(17).
7
Suppose -g = -3*t + 2*g, -5*t + 12 = -2*g. Let v(s) = 3*s - 5. What is the remainder when 30 is divided by v(t)?
2
Suppose 3*v = -2*v - 15. Let s = 8 + v. Suppose -s*n = -3*b - 37 - 172, -5*b + 139 = 3*n. What is the remainder when n is divided by 11?
10
Let b be (-2)/7 - (-78)/(-21). Let c(h) = -h**3 - 3*h**2 + 3*h + 4. Calculate the remainder when 21 is divided by c(b).
5
What is the remainder when (-55 + -719)/(-1*2) is divided by 4?
3
Let h(p) = -p + 8. Let c be 3 + 7 + (-2 - -3 - 4). Calculate the remainder when h(c) is divided by 1.
0
Suppose 0 = -2*o + 5*o - 30. Let l be 1*55 + -9 + 5. Suppose 28*i = 31*i - l. Calculate the remainder when i is divided by o.
7
Let h(b) = -b**2 - 22*b + 37. Calculate the remainder when 104 is divided by h(-22).
30
Let d = 307 - 190. Let z = -62 + d. Calculate the remainder when z is divided by 8.
7
Suppose -4*c - 39 = 2*y - 5*y, -21 = -4*y - 5*c. What is the remainder when 149 is divided by y?
5
Calculate the remainder when 82 is divided by 22 + (-658)/42 + (-1)/3.
4
Let k(y) = y**2 - 5*y - 2. Let z be k(5). Let g be (-4)/10*10/z. What is the remainder when g/(-10) - 126/(-5) is divided by 9?
7
Let z be 2/(-10) + 41/5. Let r(d) = 15*d - 9. Let b(c) = -8*c + 4. Let a(x) = 9*b(x) + 5*r(x). What is the remainder when a(z) is divided by 6?
3
Let h be (-2170)/(-126) + (-4)/18. Let z = h + 46. Let t(o) = 4*o - 4. Calculate the remainder when z is divided by t(5).
15
Let n = 25 + 24. Suppose 5*u + n = 64. Suppose p - 4*b + 2 - 1 = 0, 4*p - 2*b = 10. Calculate the remainder when p is divided by u.
0
Suppose 3*d - 53 = 5*s, 2*s + 3*s - 75 = -5*d. Let g = 574 - 545. What is the remainder when g is divided by d?
13
Let l(v) = v**2 + v + 3. Let u(r) = 24*r - 4. Let i be u(3). Suppose -i = -3*f - f. What is the remainder when f is divided by l(-3)?
8
Let x be (-975)/(-30) - 1/4*-2. Suppose -c + m + 141 = 3*c, -c - 2*m = -x. Calculate the remainder when c is divided by 12 - ((1 - -1) + -2).
11
Suppose 3*y - 12 = -2*t + 29, -4*t = -3*y + 71. Let a be -1 + (-4)/4 + -1 + 1. What is the remainder when y is divided by (a/(-13) - (-737)/(-143))*-1?
2
Let p(d) = -4*d**2 - 28*d - 5. Let n be p(-9). Let z = n - -106. What is the remainder when 115 is divided by z?
28
Suppose -34*m - 140 = -39*m. Suppose 90 = -d + 7*d. What is the remainder when m is divided by d?
13
Suppose -22*u + 372 = -24. What is the remainder when 37 is divided by u?
1
Let r(v) = -6*v**2 + 2*v**3 + 872 - 7*v - v - 862 - 3*v**3. Calculate the remainder when 288 is divided by r(-6).
56
Suppose 0 = 2*a + 23*a - 800. Calculate the remainder when 124 is divided by a.
28
Let t(p) = -p**2 + 10*p - 4. Let x be t(9). Suppose 0*m + x*m - 5*b - 70 = 0, 0 = 4*b + 8. What is the remainder when 57 is divided by m?
9
Let r(s) = -3*s**2 + 10*s + 28. Let p be r(9). Let t = p + 128. Let g(d) = -d**3 + 3*d - 1. Calculate the remainder when g(-3) is divided by t.
2
Let u = -2 - -9. Suppose -5*p - 2*v - 101 = 0, 0 = 5*p + v + 31 + 72. Calculate the remainder when p/14*76/(-6) is divided by u.
5
Let v(o) = o**2 + 8*o + 14. Let n be v(-6). Suppose 8 - 26 = -n*t - 2*f, 13 = t + 3*f. Let h(p) = p**2 + p - 5. What is the remainder when h(5) is divided by t?
4
Let i(u) be the second derivative of -u**4/12 + 7*u**3/6 + 13*u**2/2 - 10*u. Calculate the remainder when 18 is divided by i(7).
5
Let o(a) = a**3 - 8*a**2 + 16*a + 48. What is the remainder when o(6) is divided by 16?
8
Suppose 0 = 5*c - 13 - 7. Let a = -27 + 34. Suppose -36 = 4*t - a*t. Calculate the remainder when t is divided by c.
0
Let c(b) be the second derivative of 11*b**4/12 + b**3/2 + b**2 + 31*b. Calculate the remainder when 139 is divided by c(-1).
9
Calculate the remainder when (-2)/(-6) - (-6463)/69 is divided by 20.
14
Let b(t) = 6*t - 149. Calculate the remainder when 97 is divided by b(29).
22
Calculate the remainder when 907 is divided by 5018/78 - ((-4)/(-3) + -2).
62
Let x(i) = -11*i**2 - 2*i + 1. Let r be x(1). Let b = r - -37. Suppose 137*q + 21 = 140*q. Calculate the remainder when b is divided by q.
4
Let o = -16 + 30. Suppose -3*j - 5 = -o. Suppose y + 4 = j*y - 3*g, -y = -4*g + 3. What is the remainder when 24 is divided by y?
4
Let l(a) = -a**3 + 6*a**2 - 4*a - 4. Let n(t) = t**3 + 8*t**2 - 9*t + 4. Let q be n(-9). Let k = 9 - q. Calculate the remainder when 2 is divided by l(k).
0
Suppose 0 = 26*g - 871 - 325. What is the remainder when g is divided by 6?
4
Let n(q) = q**2 + 5*q - 54. Calculate the remainder when n(12) is divided by 22.
18
Suppose r - 3*u - 79 = 0, -2*u + 126 = -7*r + 9*r. What is the remainder when 534 is divided by r?
65
Suppose 308 + 49 = 3*k. Calculate the remainder when k is divided by 56.
7
Let d = 185 + -150. What is the remainder when d is divided by 10?
5
Let j(m) = m**2 + 6*m + 2. Let n be j(-10). Suppose 12*u = 9*u + n. Calculate the remainder when u is divided by 6.
2
Let a(h) = 84*h**2 + 1. Suppose 0 = -2*o - 2 - 0. Let g(b) = -b**2 + 2*b + 70. What is the remainder when a(o) is divided by g(8)?
19
Suppose 160 = 3*g + 2*g. Suppose -2*u + 3*z = -2*z - g, -2*z - 2 = u. What is the remainder when 29 is divided by u?
5
Suppose -13 - 13 = -2*w + n, -5*w = 4*n - 78. Let s(l) = 5*l + 3. What is the remainder when ((-384)/15)/(w/(-35)) is divided by s(6)?
31
Let g be (3/2)/(3/6). Suppose j - 150 + 107 = 0. Suppose -5*d = -4*d - 4*x - j, 5*d - g*x = 232. What is the remainder when d is divided by 12?
11
Suppose 42*a - 16473 = -15*a. Calculate the remainder when a is divided by 58.
57
Let c(i) = -i**2 + 20*i + 121. Calculate the remainder when 51 is divided by c(24).
1
Suppose -33 - 57 = -5*i. Let j = -138 - -97. Let h = j + 93. What is the remainder when h is divided by i?
16
What is the remainder when 4860/14 - 37/259 is divided by 160?
27
Suppose -3*a + 131 + 97 = 0. Calculate the remainder when a is divided by 11.
10
Suppose 5*l + 4*o = -295, 3*l - o + 185 = -5*o. What is the remainder when l/(-44)*7*4 is divided by 12?
11
Let o(w) be the second derivative of 0 - 2*w**3 + 6*w - 3/2*w**2. What is the remainder when 129 is divided by o(-3)?
30
Suppose 10*t - 6*t - 96 = 0. Let k = t - 17. Suppose 5*l + 2*n - 225 = 0, 2*l - 90 = 3*n - k*n. Calculate the remainder when l is divided by 12.
9
Suppose 3*r + 150 = -3*r. Let n = r - -32. Calculate the remainder when 18 is divided by n.
4
Let y be (-67)/(-2) - 2/(-4). Suppose 0 = -w + f + y, -3*w - 4*f - f + 62 = 0. What is the remainder when (82 + 3)*(0 - -1) is divided by w?
27
Let u(p) = p**2 + 18*p - 6. What is the remainder when u(-19) is divided by 4?
1
Calculate the remainder when 43 is divided by (-2 - -8)/(-3)*-1.
1
Let f(y) = -8*y + 165. What is the remainder when f(16) is divided by 12?
1
Suppose -8*m - 12 = -7*m. Let y be (-12)/2*(-4)/m. Let x = 18 - y. Calculate the remainder when 97 is divided by x.
17
Suppose 2*n + 119 - 161 = 2*a, 0 = -4*n - 5*a + 75. 