Calculate the remainder when j is divided by p.
36
Suppose 25*k - 5*k = 13*k + 168. Calculate the remainder when 9165 is divided by k.
21
Suppose -200 = -10*m + 5*m. Suppose m = 3*t - f, 5*t + f = 31 + 49. Let v = 133 - 74. Calculate the remainder when v is divided by t.
14
Suppose 149 = 7*y - 124. Suppose 5*g = -2*w + 91, -4*g = 2*w - 58 - 36. Calculate the remainder when w is divided by y.
14
Suppose z - 685 - 2143 = -27*z. What is the remainder when z is divided by (1 + 10)*(3 + -1)?
13
Let d = 1 - 1. Suppose d = 5*c - 7 - 8. Suppose -189*q - 126985 = -128875. What is the remainder when q is divided by c?
1
Suppose a - 5 = -v - 4*v, 2*v - 2 = a. Suppose 5*t - 7 = -4*x, 3*x - 4*t + v - 14 = 0. What is the remainder when 8/(x + -1) - -27 is divided by 9?
4
Let q(r) = -r**2 - 5*r - 4. Let w be 1 - (-24 + 4)/(-5). Let i be q(w). Suppose -i*z + 30 = -188. Calculate the remainder when z is divided by 22.
21
Suppose 61 = -3*u - 215. Let p = u + 87. Let o = p - -42. What is the remainder when 106 is divided by o?
32
Suppose 0 = 3*w + 5*f + 7 + 10, -4*f = 3*w + 13. What is the remainder when 320/(-4)*((-21)/15 + w) is divided by 12?
8
Let m(r) = -208*r - 521. Let s be m(-8). Suppose 40*l - s = 31*l. Calculate the remainder when l is divided by 4.
3
Suppose 5*r = -25, -2*k + 387 = 2*k - 3*r. What is the remainder when k is divided by 41?
11
Suppose -3*w - 1532 = -4*z, 0 = -4*w - 5*z + 2*z - 2076. Let i = -447 - w. Calculate the remainder when i is divided by 6.
3
Let o be (0/(4 + 0))/(-4). Suppose o = f + 5, 39*f - 34*f = -5*g + 220. Calculate the remainder when g is divided by 7.
0
Suppose 4886 + 5167 = 82*z - 4051. Calculate the remainder when 1716 is divided by z.
168
Suppose 4*a - 45 = -0*a - 3*u, 2*a - 19 = -5*u. Let p(z) = -37*z - 21. What is the remainder when p(-3) is divided by a?
6
Suppose 0 = -3*x + 57*a - 61*a + 176, -2*x - 3*a + 120 = 0. What is the remainder when 1469 is divided by x?
29
Let a = -869 + 896. Calculate the remainder when 928 is divided by 91*1 - 6*(-9)/a.
91
Suppose 4*i = -80 + 8. Let j be i/(-30) + 436/(-10). Let y = 54 + j. Calculate the remainder when 31 is divided by y.
9
Suppose 44*z - 12 = 41*z. Suppose -400 = z*a - 14*a. Calculate the remainder when a is divided by 24.
16
Let u = 5405 + -4209. Calculate the remainder when u is divided by 237.
11
Let q = -31695 - -31914. What is the remainder when 521 is divided by q?
83
Suppose 3*g + 197 = 3*w - 49, -w - g = -80. Calculate the remainder when 84 is divided by w.
3
Suppose 0 = -3*w - 2*q + 259, -4*q - 91 = 2*w - 3*w. What is the remainder when w is divided by 67?
20
Suppose 11*g = 12*g. Suppose -4*v + 24 + 56 = g. Suppose -10*p = -9*p - 39. What is the remainder when p is divided by v?
19
Let i(q) be the first derivative of -q**2 - 3*q - 1. Suppose 1689 = -8*t + 1649. Calculate the remainder when 25 is divided by i(t).
4
Suppose 0 = 341*p - 346*p - o + 339, -5*o = 5. Calculate the remainder when 7886 is divided by p.
66
Let q = -2718 + 2758. Calculate the remainder when 446 is divided by q.
6
Calculate the remainder when 56482/124 + (-1)/2 is divided by 447.
8
Let k(p) = 3*p + 24. Let x be k(-7). Suppose 5*c = x*v - 178, -3*v - 61 = -4*v + 2*c. Let f = -21 + v. What is the remainder when 176 is divided by f?
26
Let w(c) = 147*c**2 + 9*c - 101. What is the remainder when w(4) is divided by 26?
25
What is the remainder when 1723 is divided by (-21)/((-168)/800) + (-4)/(-8 + 6)?
91
Suppose -49 = 3*w - 5*u, 0 = w - 3*u + 2*u + 17. Suppose 19*q - 104 = 162. What is the remainder when q is divided by w/(-30) + 84/10?
5
Suppose 3*u = 10*d + 119, -14*u + 9*u + 3*d = -171. What is the remainder when 352 is divided by u?
22
Suppose 39*h - 7526 = -113*h + 46*h. What is the remainder when h is divided by 3?
2
Let q = 160 + -97. Let o = 3084 - 2707. What is the remainder when o is divided by q?
62
Suppose 979 = -46*q + 50*q - 5*t, 3*t = 5*q - 1227. What is the remainder when q is divided by 64?
54
Let n(a) = 2*a - 6. Let b be n(12). Suppose -b*x + 21*x = 1299. Calculate the remainder when x is divided by 62.
61
Let q(o) = -o - 57. Let j be q(-11). Let p = -42 - j. Suppose 3*b = 2*g - 94, g + g + p*b = 122. Calculate the remainder when g is divided by 14.
11
Let z be ((-63)/(-18) - 4) + (-103)/2. Let j = -23 - z. Calculate the remainder when j is divided by 17.
12
What is the remainder when 279 is divided by (-28609)/(-203) + 6/87?
138
Suppose w - 165 = 5*m, 378 + 78 = 3*w - 2*m. Calculate the remainder when 3599 is divided by w.
149
Suppose -276*v + 234*v + 27384 = 0. What is the remainder when v is divided by 108?
4
Let g be -12*15/6 + -1. Let n = 35 + g. Suppose 0 = -4*c - 3*m + 395, n*c = 6*m - m + 387. Calculate the remainder when c is divided by 25.
23
Suppose 23*p = 18*p - 10, -5*j + 11 = -3*p. Let q(b) = 145*b - 9. What is the remainder when q(j) is divided by 6?
4
Let g(k) = -k**3 - 30*k**2 + 34*k + 101. Calculate the remainder when g(-31) is divided by 3 + 1 + (-8 - -8).
0
Suppose 0 = -3*g + 7*f + 3 + 69, -f = 3. Calculate the remainder when 107 is divided by g.
5
Let p(d) = -4*d + 8. Let y be p(-2). Suppose -9*w - 76 = -4*l - 13*w, -y = -4*w. Calculate the remainder when 87 is divided by l.
12
Suppose -3*z = -7*a + 4471, 25*a + 4*z - 1932 = 22*a. Calculate the remainder when a is divided by 23.
19
Let w = 14081 + -13025. Calculate the remainder when w is divided by 210.
6
Suppose 6*c = -11*c - 2873. Let p = c + 196. Suppose -5*z - 3*o + 518 = 0, 4*z - 7*o + 4*o = 409. What is the remainder when z is divided by p?
22
Suppose -6*i + 36 = 3*i. Suppose -3*c - 3*a = -a + 10, -4*a = i*c + 12. What is the remainder when 12 is divided by c*(-4 + 22/8)?
2
Let u(a) be the second derivative of -a**4/12 - 11*a**3/6 + 31*a**2 + 63*a. Let j = 243 + -171. What is the remainder when j is divided by u(-14)?
12
Suppose -175 - 245 = -15*n. Suppose -4*l + 982 = 214. What is the remainder when l is divided by n?
24
Let k = -6599 + 6827. What is the remainder when 4328 is divided by k?
224
Let u(o) = o**3 - 36*o**2 + 37*o - 19. Let v be u(35). Calculate the remainder when 7 is divided by (9/(-6))/(v/(-34)).
0
Calculate the remainder when -92*(-35 - -5 - 4*-1) is divided by 42.
40
Suppose 3*p - 12 = 0, 5*r - 2*p = -p + 31. Let c(j) = j**3 - 8*j**2 + 14*j + 2. Calculate the remainder when c(r) is divided by 26.
25
Let b(a) be the first derivative of a**4/4 - 2*a**3 - 21*a**2/2 - 13*a + 74. What is the remainder when b(9) is divided by 1?
0
Suppose -4*o + 7214 = 5590. Calculate the remainder when o is divided by 134.
4
Let z = 63 + -35. Let g = z + -24. Suppose g*j - 52 = -0*u - 4*u, -2*j = 3*u - 36. Calculate the remainder when 38 is divided by u.
8
Suppose -3*k + 2*t + 32 = -48, 2*k - 58 = -t. Calculate the remainder when 1564 is divided by k.
24
Let v(w) be the third derivative of -w**5/20 - 11*w**4/4 - 2*w**3 - 63*w**2. What is the remainder when v(-21) is divided by 11?
7
Suppose 312 + 688 = 10*v. Suppose -5*z - c = -v, 0*z + 3*c + 80 = 5*z. Suppose 5*k = 2*s - 234, -3 + 1 = k. Calculate the remainder when s is divided by z.
17
Suppose 1180 = 4*p + 4*d, 2*p + 6*d - 5*d - 591 = 0. Suppose -251 = 3*w - p. What is the remainder when 58 is divided by w?
13
Let f(d) = 2*d**2 - 2*d + 7. Let i be f(-3). Suppose 27*s - i*s = -28. Calculate the remainder when 41 is divided by s.
6
Let m = -9621 + 9948. Calculate the remainder when m is divided by 129.
69
Let t(s) = -s**3 - 4*s**2 - 14*s - 98. What is the remainder when t(-6) is divided by 6/3 + 42 + 3?
11
Suppose -35 = -6*b + b. Suppose 154*v = 3*o + 149*v - 86, 5*o - 3*v - 122 = 0. Calculate the remainder when o is divided by b.
1
Let t = 21 + -10. Let i(z) = z + 3. Let d(a) = -a**3 - 2*a**2 - 24*a - 187. What is the remainder when i(t) is divided by d(-5)?
6
Let b(o) be the second derivative of 3*o**4/4 + 3*o**3/2 + 25*o**2/2 - 13*o. Let s = 52 + -35. Calculate the remainder when b(-3) is divided by s.
11
Suppose 0 = -4*y - 8, -613 + 174 = -3*f - 4*y. Suppose -14*j + 118 + 148 = 0. Calculate the remainder when f is divided by j.
16
Suppose 16 - 4 = 2*n + 4*l, -4*n = 3*l + 1. Let r = -2 - n. Suppose -4*c - 14 + r = -2*j, -j - 3*c + 1 = 0. What is the remainder when 18 is divided by j?
2
Let k(w) = -1226*w - 4073. What is the remainder when k(