emainder when p is divided by n(10).
24
Suppose -d - 2*i = 107, 4*i - 345 = 3*d + 2*i. Let q = -14 - d. Suppose -36 - 15 = -3*r. What is the remainder when q is divided by r?
14
Suppose 0 = -y - 71 + 68. Let i be y - (-24)/10 - (-1359)/15. Let g = i + -63. What is the remainder when 78 is divided by g?
24
Suppose 0 = -84*o + 101*o - 68. Let a(n) = n**3 + 4*n**2 - 5. Let g be a(-4). What is the remainder when 5 is divided by (-6)/g*10/o?
2
Let o = -48 - -50. Suppose -o*x - 414 = 5*t - 103, 3*t = 2*x - 177. Let s = 118 + t. What is the remainder when s is divided by 29?
28
Let o = -1497 - -1769. What is the remainder when 837 is divided by o?
21
Let x(i) be the first derivative of 14 - 2*i**2 + 21*i + 4*i**3 + 1/4*i**4. What is the remainder when x(-12) is divided by 7?
6
Suppose 0 = -31*s + 35*s + 5*k - 327, -k - 357 = -4*s. Calculate the remainder when 6420 is divided by s.
84
Suppose -4*u + 47790 = 12*u + 38*u. Calculate the remainder when u is divided by 112.
101
Let w(r) = -7*r**2 + 218*r + 4. What is the remainder when 194 is divided by w(31)?
19
Suppose 0 = 49*f + 16 - 212. Suppose -2*j = -r - 103, j + 156 = f*j - 3*r. Calculate the remainder when 232 is divided by j.
28
Let z be (6704/(-80))/((-2)/10). Let g = -348 + z. Calculate the remainder when g is divided by 24.
23
Let u = -214 + 265. Suppose -3*f + u*k - 49*k = -232, -5*f + k + 389 = 0. Calculate the remainder when 308 is divided by f.
74
Let k = -148 - -193. Suppose 7*p - k - 11 = 0. Calculate the remainder when 16 is divided by p.
0
Suppose -p - 148 = -3*p. Suppose -33*x = -40*x + 105. What is the remainder when (-5)/(5/p)*-1 is divided by x?
14
Let m(b) = b**3 - 4*b**2 + 2*b - 13. Calculate the remainder when 1517 is divided by m(5).
21
Suppose -c = -3*y - 5*c - 3, 5 = -5*y - 2*c. What is the remainder when 12 is divided by 1 - 12/(-24)*(-6)/y?
0
Suppose -6*s = 5*b - 114, 29*b + 32 = 4*s + 25*b. What is the remainder when 161 is divided by s?
7
Suppose -c + 4*g = -778, -37*c = -41*c - 5*g + 3217. What is the remainder when c is divided by 198?
6
Let s(r) = 116*r + 90. What is the remainder when s(8) is divided by 10?
8
Let d(j) be the first derivative of j**3/3 - 9*j**2/2 + 37*j + 47. What is the remainder when 95 is divided by d(4)?
10
Let i(l) = -3*l - 1. Let r(c) = 5*c + 4 + 3*c**2 + 6*c - 29*c + 9*c. What is the remainder when i(-16) is divided by r(4)?
15
Suppose 3*y + 150 = -4*p + 7*p, -70 = -p - 3*y. Calculate the remainder when 135 is divided by p.
25
Let v be (-217)/(1 - (-1 + 1)). Let a = v - -226. Calculate the remainder when 13 is divided by a.
4
Suppose 3*u + 3 = 0, 5*w + 5*u - 675 = 310. Calculate the remainder when (9 + w)/((10/4)/5) is divided by 16.
14
Let o be (-1287)/(-8) + 3*4/96. Suppose -3*d + 2*m = -o, 4*d = -5*m + m + 208. Calculate the remainder when d is divided by 11.
9
Suppose -190*b + 1000 = -185*b - r, 0 = 2*b - 4*r - 400. What is the remainder when b is divided by 68?
64
Calculate the remainder when 74 is divided by (-48)/9*513/(-72).
36
Let p(n) = n**3 - 9*n**2 - 9*n - 11. Let o be p(10). Let l be (3/5 + o)/((-1)/30). Suppose -l*m + 7 = -197. Calculate the remainder when 46 is divided by m.
12
Suppose -6*p + 4*p + 110 = 5*b, 5*b - 125 = -5*p. Let s(q) = -317*q - 2163. Calculate the remainder when s(-7) is divided by b.
16
Let w = 31 + 11. Suppose -2*s + 126 - w = 0. Suppose -3*v + 3*m + 384 = 0, -331 + 103 = -2*v - 5*m. What is the remainder when v is divided by s?
40
Suppose -208*f = -218*f + 680. Calculate the remainder when 474 is divided by f.
66
Suppose -30*l - 678*v + 674*v + 5266 = 0, 5*l = 3*v + 808. Suppose -3*j + 161 = -5*z - 108, 3*j = 2*z + 266. What is the remainder when l is divided by j?
85
Suppose -2*r + 4*k + 34 = -2, r = 4*k + 18. Let s(u) = -u**2 + 21*u - 38. What is the remainder when s(r) is divided by 5?
1
Let r(u) = u**3 - 6*u**2 + 2. Let y be r(6). Suppose -5*s + 530 = -y*t, -3*t = -5*s + 372 + 153. What is the remainder when s is divided by 14?
10
Let r(m) = 36*m - 213 + 14*m - 24*m. What is the remainder when r(11) is divided by 19?
16
Let x = 122 - 122. Suppose x = -116*b + 113*b + 75. What is the remainder when 44 is divided by b?
19
Let w = 3641 + 958. What is the remainder when w is divided by 78?
75
Suppose 15*m + 2*p + 442 = 17*m, 2*m = -3*p + 417. What is the remainder when m is divided by 60?
36
Let t be 40/(-80) - ((-4)/2)/4. Calculate the remainder when 76 is divided by 1 + 12 + t/(-4) + -2.
10
Suppose -3*d + 164 + 19 = 0. Suppose 189 = 64*x - d*x. Suppose 3 + x = 3*w. Calculate the remainder when 108 is divided by w.
20
What is the remainder when 222256/(-174)*(-1)/((-4)/(-6)) is divided by 64?
60
Let q = 1722 + -1263. Calculate the remainder when q is divided by 68.
51
Let v be (2/3)/(4/(-930)). Let q = v + 170. Calculate the remainder when 43 is divided by q.
13
What is the remainder when 19533 is divided by ((-210)/10 - -22)*132?
129
Let s be (100/6)/(-5 - (-68)/12). Suppose 0 = 3*p + 4*y - 4, -3*p + 5*y + 24 = -s. Let c = p - -6. What is the remainder when 40 is divided by c?
12
Let q be (28/21)/2 + (-92)/(-6). Let w be (-4)/(q/(-6))*372/9. Suppose -58*y - 36 = -w*y. Calculate the remainder when 35 is divided by y.
8
Let m(x) = 199*x - 525. Calculate the remainder when m(11) is divided by 69.
8
Let i(r) = r**2 + 12*r - 23. Let w be i(2). Let q(x) = x**2 - x - 4. What is the remainder when 106 is divided by q(w)?
10
Suppose -2*j - 2*o = 27 - 57, 2*j - 3*o = 40. Calculate the remainder when 270 is divided by j.
15
Suppose -s = -2*v + 3*s + 20, 0 = 5*v + 2*s - 14. Let w(x) = x**3 + 8*x + 10. What is the remainder when (v/(-2) - -1)*-26 is divided by w(0)?
6
Suppose -3*d - 101 = -2*f, 6*d + 51 = f + 4*d. What is the remainder when 30084 is divided by f?
47
Let o(m) = -m + 39. Let a be o(0). Suppose k + 2*k - a = -l, k = 5*l - 3. Suppose -31*j + 10914 = 290*j. What is the remainder when j is divided by k?
10
Let d(j) = -3*j**3 - 4*j**2 - 5*j**2 + 10*j**2 - 1. Let c be d(-1). What is the remainder when (c/(-2)*2)/(9/(-93)) is divided by 11?
9
Let t(x) = -x**3 + 5*x**2 + 5*x + 3. Suppose 1487 = 7*a - 158. What is the remainder when a is divided by t(-3)?
55
Let t be (-204)/(-33) - (-4)/(-22). Suppose t = o - 25. Let q = o + -12. What is the remainder when q is divided by 7?
5
Let n = -733 + 739. What is the remainder when 440 is divided by n?
2
Let q = -139 + 90. Let i = q - -64. What is the remainder when 8 is divided by (12 - i) + 7 + 1?
3
Suppose 10*a + 381 + 9 = 0. Let y = a + 68. What is the remainder when 51 is divided by y?
22
Let w(l) = 32*l**2 + 3*l - 2. Suppose c + u = 1, -4*u = -0*c + 2*c. Let q = -5315 - -5342. Calculate the remainder when w(c) is divided by q.
24
Let h(f) = 4*f**3 + 2*f**2 - 32*f + 58. What is the remainder when h(5) is divided by 36?
16
Suppose 105*n = 108*n - 72. What is the remainder when 957 is divided by n?
21
Let v(n) = -3*n + 17. What is the remainder when 86 is divided by v(0)?
1
Suppose -5*y + 9880 = c, 11*y - 6*y - 2*c - 9895 = 0. What is the remainder when y is divided by 132?
129
Calculate the remainder when (-10840)/(-11) + 0 - 3738/(-6853) is divided by 59.
42
Suppose 129*y = 125*y - 2*d + 136, 3*y - 96 = -3*d. Calculate the remainder when 317 is divided by y.
29
Suppose -8*y = -11*y + 3*g + 90, 0 = -5*y - 4*g + 105. Suppose -9*a + 421 = y. Calculate the remainder when a is divided by 19.
6
Suppose -3*b - 1649 = 5*u, -4*u = -3*b - 1070 - 597. Let g = -250 - b. Calculate the remainder when g is divided by 38.
37
Let m(p) = -p**3 - 32*p**2 - 142*p - 110. Calculate the remainder when 314 is divided by m(-27).
77
Let t be 18*(-69)/(-9)*1. Let q = 330 - t. Let y = 397 - q. Calculate the remainder when y is divided by 23.
21
Let o(k) = -79*k**2 - 17*k - 38. Let a be o(-2). Let j = -264 - a. What is the remainder when j is divided by 16?
8
Suppose -r + 361 = 2*r + 2*s, -5*s + 376 = 3*r. Let w(c) = -c**3 - 3*c**2 + 48*c - 6. What is the remainder when r is divided by w(5)?
15
Let q(h) = 12*h**2 + 27*h + 35. What is the remainder when q(5) is divided by 110?
30
Let a(f) = -16*f + 156. Let c be a(7). Suppose -c*t + 40*t = -428. Let m = -4 + 10. What is the remainder when t is divided by m?
5
Suppose 0 = -6*l + 89 + 7. Suppose 3570 = 14*w + l*w. What is the remainder when w i