-v + c = 1, -13*v = -16*v + 2*c. Suppose -2*p - 7 = -3*p. What is the remainder when p is divided by v?
1
Let n(a) = 8*a**2 + 4*a - 2. Let p be (13/26)/(1/12*2). Suppose -y = 4*y - 3*h - 102, -y - 4*h + 25 = 0. Calculate the remainder when n(p) is divided by y.
19
Suppose 0*v = -3*v + 159. Let k = -9076 - -9084. Calculate the remainder when v is divided by k.
5
Suppose 0 = 50*p - 45*p + 70. What is the remainder when 118 is divided by 20/6 - (-1)/(-3) - p?
16
Let c be (0 - 2*(-2)/12)*12. Let s(j) be the second derivative of j**4/6 - j**3/6 - j**2/2 - 2*j. What is the remainder when s(c) is divided by 7?
6
Suppose 4*r + 805 = 4*x + 325, 4*x - 482 = 3*r. Calculate the remainder when x is divided by 31.
29
Let h(l) = 8*l**3 + 2*l**2 - 7*l + 6. What is the remainder when h(1) is divided by 8?
1
What is the remainder when 3 - (-216 - (-14)/(-7)) is divided by 19?
12
Let i(o) = -o**3 - 2*o**2 + 2*o + 3. Let f = -5 - -3. Calculate the remainder when 2/f + (14 - 4) is divided by i(-3).
3
Suppose 18 = x + 4*r, 5*x = -3*r + 57 + 33. What is the remainder when 521 is divided by x?
17
Let k(y) = 6*y + 41. Calculate the remainder when 66 is divided by k(3).
7
Let h(q) = -8*q + 1. Suppose 3*z - 4*m - 18 = z, 3*z + 4*m - 7 = 0. Suppose -z*n + 46 + 34 = 0. Calculate the remainder when n is divided by h(-1).
7
Suppose 2*q = 4*i - 106, -10*i + 4*q = -5*i - 137. Calculate the remainder when 145 is divided by i.
20
Suppose 5*y = -4*w - 0*w + 124, 3*y = -3*w + 72. Let r(i) = -4*i + 27. Suppose -4*n = 6*n - 40. Calculate the remainder when y is divided by r(n).
6
Let i = 121 + -445. Calculate the remainder when 19 is divided by (-8)/14 - i/28.
8
Calculate the remainder when 3*(5/4)/((-1)/(-12)) is divided by 18.
9
Let p(t) = t**3 + 21*t**2 + 19*t - 7. Let a be p(-20). Suppose 0 = a*m - 453 - 184. Calculate the remainder when m is divided by 13.
10
Suppose -9*k - 2*k = -781. Calculate the remainder when k is divided by 9.
8
Let k = -8 + 10. Suppose 0 = -k*z + 5*z - 9. Suppose 0 = -d + s + 17, -z*d = 3*s - 16 - 5. Calculate the remainder when 47 is divided by d.
11
Let s(i) = 2*i**2 - 26*i + 27. Let u be s(12). What is the remainder when 48 is divided by u/(3 - 28/10)?
3
Suppose 418 = -53*w + 64*w. What is the remainder when w is divided by 26?
12
Let k(y) = -4 + 3 + 3*y + 2 - 3. Calculate the remainder when 38 is divided by k(5).
12
Let p be ((-7)/2)/(-7)*-14. Let t = 17 - p. Calculate the remainder when 68 is divided by t.
20
Suppose -12 = 4*v - 0*v. Let r be (v - -2) + 3 + 1. Suppose -g - 4*t = -19, -2*t = 5*g + r*t - 65. What is the remainder when 42 is divided by g?
9
Let g = -4 - -3. Suppose 46*z - 1010 = -122 + 216. Calculate the remainder when (94 + g)*(-2 - -3) is divided by z.
21
Suppose -2*z - 2*u + 134 = 0, -15*z = -11*z - 4*u - 252. Calculate the remainder when 165 is divided by z.
35
Suppose 2*p = 8 - 4. Suppose 0 = q - 6 - p. Let h = 41 + -12. What is the remainder when h is divided by q?
5
Let z(w) = -2*w**3 - 5*w**2 - 3*w - 2. Let c be z(-2). Suppose c = 15*f - 9*f - 78. Calculate the remainder when 20 is divided by f.
7
Let n = 289 - 208. What is the remainder when n is divided by 28?
25
Calculate the remainder when 48 - (-5 - 15/(-5)) is divided by 13.
11
Let t = 26 + -27. Let l be (-2)/4*0/t. Suppose 0 = 5*d + 2*p + p - 45, l = 5*p. Calculate the remainder when 43 is divided by d.
7
Let c be (11 - 10)*(-1 - 2). What is the remainder when 19 is divided by 2/(-3)*-9 - (0 - c)?
1
Let s = -12 - -159. Suppose b + 8 = s. Calculate the remainder when b is divided by 35.
34
Let a = -14 + 15. Suppose 0 = f - 3, f - a = -2*b + 30. What is the remainder when 6/(-3) + (-2 - -45) is divided by b?
13
Let z(q) = 2*q**2 + 3*q + 3. Suppose -k - f = 0, -16 = 4*k - 5*f + 2. What is the remainder when 28 is divided by z(k)?
3
Suppose -4*o + 19 = 7. Let z be 4 - 2 - 4/2. What is the remainder when z + (o - 5) + 18 is divided by 6?
4
Suppose -3*i + 181 = 38*l - 36*l, -l = 4*i - 248. Calculate the remainder when 66 is divided by i.
3
Let v = 439 + -415. What is the remainder when 179 is divided by v?
11
Suppose 0 = -2*n - 4, -3*k = k + 3*n - 30. Suppose -l - 1 = -6. Suppose 60 = 3*c - l*d, c + 0*d = -5*d. Calculate the remainder when c is divided by k.
6
Suppose -9 + 19 = 2*r, 5*c - 130 = -3*r. Calculate the remainder when 793 is divided by c.
11
Let r(l) = 17*l**3 - 3*l**2 - 1. Calculate the remainder when r(5) is divided by 76.
73
Suppose -67 + 103 = 2*g. What is the remainder when 32 is divided by g?
14
Suppose 5*z - 3*z = -2*r + 84, 5*z = -4*r + 167. What is the remainder when r is divided by 10?
3
What is the remainder when 40 is divided by (-39)/52 + 103/4?
15
Let b = -10 + 4. Let w = b - -10. Suppose -5*t + 2*t = r - 34, 0 = w*t - 3*r - 28. Calculate the remainder when t is divided by 4.
2
Let l(k) = k - 1. Let t be l(-3). What is the remainder when (t/6)/((-42)/1071) is divided by 10?
7
Suppose 6*u - 21*u + 2835 = 0. Calculate the remainder when u is divided by 12.
9
Suppose -5*w - 5*m = -110, 3*m - 34 = -3*w + 8*m. Calculate the remainder when w is divided by 12.
6
Let v(g) = -g**2 - 7*g + 5. Let d = -135 + 132. Calculate the remainder when 62 is divided by v(d).
11
Let z = 14 - 4. Suppose 3*s = -p - p + 35, -4*p - 4*s + 72 = 0. Suppose -25*f = -p*f - 36. What is the remainder when z is divided by f?
4
Suppose 0 = -2*n + 1 + 23. Suppose 4*k + n = -0*k. What is the remainder when (4/(-10))/(k/315) is divided by 11?
9
Let u(h) = 0 - 4 - 3*h + 0. What is the remainder when u(-5) is divided by 460/(-644) - (-47)/7?
5
Let d(i) = i**3 + 15*i**2 - 35*i - 14. Let v be d(-17). What is the remainder when 78 is divided by ((-168)/(-7))/(v/2)?
14
Calculate the remainder when 642 is divided by 3*(520/75 + (-9)/15).
15
Let v(g) = -4*g - 69. Suppose 0 = -4*a + f + 39, 3*a = 5*a - 2*f - 24. Let t = a - -11. What is the remainder when t is divided by v(-19)?
6
Suppose 33 = v + 33. Suppose v = 8*u - 2 - 78. What is the remainder when (-56)/2*(-3 + 2) is divided by u?
8
Suppose 3*x + 50 = 2*y - 72, 12 = -3*x. Let z = 40 - 21. What is the remainder when y is divided by z?
17
Suppose -6*i + 37 = 7. Suppose -2*m - 3 = 1. Let u = i + m. Calculate the remainder when 9 is divided by u.
0
Suppose -8 = -5*h + g, -4*h - h - 2*g + 14 = 0. Suppose -r = -3*k + 17, h*k + 5 = 5*k - 4*r. Let f = k - 6. What is the remainder when 2 is divided by f?
0
What is the remainder when (-21)/9*(-29)/(290/540) is divided by 69?
57
What is the remainder when 60 is divided by -4*((-198)/24 - -6)?
6
Let x = 32 - 27. Suppose -x*d = -0*d - 50. Suppose 2*m = 3*m - 37. Calculate the remainder when m is divided by d.
7
Suppose -5*d - 5*h + 780 = 0, -d + 0*h - 2*h = -156. What is the remainder when d is divided by 9?
3
Let p = 477 - 326. What is the remainder when p is divided by 11?
8
Let n(c) = -c**2 + 19*c - 25. Let l = -70 + 79. Calculate the remainder when n(15) is divided by l.
8
Suppose 4*u - 2*t = -44, 5 + 6 = -u + 5*t. Let q = u + 14. Suppose -15 = -3*m - q. What is the remainder when 7 is divided by m?
3
Suppose 0 = 4*a, 178 - 505 = -m - a. Suppose -62 + m = 5*k. Calculate the remainder when k is divided by 28.
25
Suppose 571 + 5 = 3*z. Let g = z + -140. Calculate the remainder when g is divided by 12.
4
Let l(s) = -s**2 - 30*s + 510. What is the remainder when 51 is divided by l(12)?
3
Let a(j) = 31*j + 7. Calculate the remainder when 264 is divided by a(2).
57
Suppose 7*y + 1238 = 4591. Calculate the remainder when y is divided by 13.
11
Let d(z) = 5*z**2 - 4*z - 17. Let x be (-104)/(-20) + 1/(-5). What is the remainder when d(x) is divided by 18?
16
Suppose 3*u - 12*w = -14*w + 593, u = -w + 198. Let n(m) = 122*m**2 - m - 1. Let r be n(-1). Let b = u - r. What is the remainder when b is divided by 19?
18
Let t be -2 + 2*(-33)/(-6). Let k(q) = 13*q**2 - 7*q - 3*q**2 - q**3 + 6 - 2*q. What is the remainder when 16 is divided by k(t)?
4
Let g(u) = u**3 - u**2 - u - 9. Let f be g(0). Let v be -17 + 21 + 2/3*3. Let p = v - f. Calculate the remainder when p is divided by 4.
3
Suppose -2*v = -5*v + 6. Suppose 5*q - 4*q + 2*z = 62, v*q - 120 = -5*z. Suppose -13 + q = 3*b. Calculate the remainder when b is divided by 11.
8
Let b = -346 + 399. Let t = 81 - 118. Let m = b + t. Calculate the remainder when 3