 r(7). Suppose 61 = 4*y + 2*o - 1, y + 5*o = n. Calculate the remainder when y is divided by 3.
1
Let s(q) = -2*q**3 - 5*q**2 + q - 5. Suppose 0 = 18*a + 73 - 1999. What is the remainder when a is divided by s(-4)?
29
Let l(h) = 217*h**2 + h. Let t be l(-1). Let a = t + -212. What is the remainder when 0 + (-1 - -17) - 1 is divided by a?
3
Suppose 2*c = 253 - 77. Let n = 153 - c. Let z = 77 - 60. What is the remainder when n is divided by z?
14
Suppose 0 = 3*a - o - 669, 18*o - 24 = 14*o. Calculate the remainder when 4270 is divided by a.
220
Let g = -8 + 15. Let p(n) = 14*n - 8. Suppose m + 124 = 5*m. What is the remainder when p(g) is divided by m?
28
Suppose 5*y = 4*h - 738, h + 62*y = 67*y + 162. Calculate the remainder when h is divided by 173.
19
Suppose 4*i - 4*p - 2924 = 0, 30*p - 25*p = -4*i + 2933. Calculate the remainder when i is divided by 260.
212
Let f be (1 + -16)*-1*4/(-12). Let y be 0 + f/(15/(-4284)). Suppose 17*n + 0*n = y. Calculate the remainder when n is divided by 22.
18
Suppose -4*b + 4*z + 66 = -162, -z + 4 = 0. Suppose 1079*u - 1174*u + 11495 = 0. Calculate the remainder when u is divided by b.
60
Let s = -13 + 21. Suppose 0 = 2*r + 10, -2*y - 43*r = -48*r + 58 - 193. Calculate the remainder when y is divided by s.
7
Let s = -1627 - -1711. What is the remainder when s is divided by 17?
16
Let p = -200 + 157. Let f = 59 + p. Calculate the remainder when 36 is divided by f.
4
Suppose 0 = 15*c - 60*c + 462 - 12. What is the remainder when 665 is divided by c?
5
Suppose 446 - 1972 = -218*r. Let w(c) = -c**3 + 8*c**2 + 4*c - 8. What is the remainder when w(8) is divided by r?
3
Let n(t) = t**3 + 70*t**2 - 53*t - 38. Calculate the remainder when n(-70) is divided by 25.
22
Let i(n) = -6*n + 451. What is the remainder when i(52) is divided by (-32)/24*(-2)/(-4)*-63?
13
Let t(r) be the first derivative of 5*r**3/3 + 2*r**2 + 4*r - 13. Let l(g) = g**3 - 6*g**2 - 6*g + 10. Calculate the remainder when l(7) is divided by t(-1).
2
Suppose 2*m + 17 = 4*d + d, 2*m = 8. Suppose d*c = -2*c + 1820. Suppose -3*u = u - c. What is the remainder when u is divided by 11?
10
Calculate the remainder when ((-1)/(-5) - -1)*(-24 - (-23639)/21) is divided by 26.
22
Let g(z) = 4*z**2 - 3*z + 1. Let t = 747 + -506. Let q = t + -191. What is the remainder when q is divided by g(2)?
6
Let f(v) = 2*v**3 - 10*v**2 + 2*v + 58. Calculate the remainder when f(7) is divided by ((-90)/3)/((-10)/15).
43
Suppose 20*r - 19*r - 38 = 0. Let n(c) = 2*c**2 + 10*c + 3. Let g be n(-9). Suppose 2*f = -3*f + g. What is the remainder when r is divided by f?
8
Suppose 20*a - 158*a + 169740 = 0. Calculate the remainder when a is divided by 256.
206
What is the remainder when (-3)/(((-6)/4)/(-3)*1134/(-34587)) is divided by 140?
43
Let d = -15 - -18. Suppose d*j = -3*o + 120, 3*j = -3*o + 5*j + 145. Suppose -2*x + o = 3*x. What is the remainder when 43 is divided by x?
7
Suppose 284*q - 289*q + 1390 = 0. Let y = q + -241. Calculate the remainder when 255 is divided by y.
33
Suppose -g - 5 = -3, 5*o + 5 = -5*g. What is the remainder when 193 is divided by 69*1 - (-13 + 16 + o)?
63
Let p(i) = 3 + 0 - 9*i - 17*i + 63*i**2 + 24*i. Suppose 0*b + 3 = 3*b. Calculate the remainder when p(b) is divided by 17.
13
Let f(p) = -897*p - 763. What is the remainder when f(-5) is divided by 310?
2
Let g = 64 - -81. Let q = -56 + g. Let y = -75 + q. What is the remainder when 39 is divided by y?
11
Suppose -9*y = -192 - 105. Calculate the remainder when (-4830)/(-66) - (-1)/(y/(-6)) is divided by 20.
13
What is the remainder when ((-4499)/10 + (-104)/1040)/((-6)/8) is divided by 23?
2
Let k = 373 - 361. Suppose 8*l = 4*l - k, -3*g = -l - 225. What is the remainder when g is divided by 6?
2
Suppose 4*i + 266 = 6*i. Let s be 2/(-6)*(-3 - -2)*33. Suppose -4*f = -s*f + i. Calculate the remainder when 70 is divided by f.
13
Let v be (-64)/(-2) + 0 - (3 + -3). Calculate the remainder when (-1 + 0)*(-130 + -1) is divided by (v/(-144) + 1184/(-18))/(-2).
32
Suppose -15*c + 20*c = -3*f + 6859, -2*c - 8 = 0. Calculate the remainder when f is divided by 15.
13
Suppose 3*k - 406 = -385. Suppose -15*o - k = -f - 11*o, 2*f - 74 = -4*o. Let p(b) = 4*b + 2. What is the remainder when f is divided by p(2)?
7
Suppose 0 = 16*d + 3380 + 812. Let a = 266 + d. Calculate the remainder when 18 is divided by a.
2
Let u(i) = i**3 + 10*i**2 + 7*i - 11. Let b be u(-9). Suppose 21*l = -b + 154. What is the remainder when 9 is divided by l?
2
Suppose 0 = 3*s + 23 + 37. Let v be s/(-8)*(-8)/(-5). Suppose -v*o + h + 165 = 0, h - 11 = -8. Calculate the remainder when o is divided by 11.
9
Suppose 0 = 4*i + 3*i + 168. Let z = i + 37. Let a(x) = 63*x - 1. What is the remainder when a(1) is divided by z?
10
Let a be (-375)/30*8/(-5). Suppose 2314 + 1326 = a*i. Calculate the remainder when i is divided by 27.
20
Let b = -210 - -212. Suppose 3*m - 4*m - 164 = -5*x, -3*x = 3*m - 102. What is the remainder when x is divided by 10*b - (-4)/12*-6?
15
Let y be (2/3)/(((-1)/(-18))/1). Let i = 51 - y. What is the remainder when i is divided by 9?
3
Let t(w) = w**3 - 22*w**2 + 3*w + 52. Let u be t(22). Suppose 8*x - u - 362 = 0. Calculate the remainder when x is divided by 12.
0
Let u(t) be the first derivative of -7*t - 1/3*t**3 - 5 + 4*t**2. What is the remainder when 17 is divided by u(6)?
2
Let k(v) = 18*v**2 - v - 20. Let f be k(7). Let r be ((-5)/5)/((-3)/f). Let m = -191 + r. What is the remainder when m is divided by 14?
10
What is the remainder when 668 - (527/(-93) + 8/(-6)) is divided by 10?
5
Let l = 148 + -101. Suppose 0 = 8*q - 4*q + 16, -3*o - 182 = -q. Let w = 70 + o. Calculate the remainder when l is divided by w.
7
Let w(t) = t**3 - 11*t**2 + 10*t + 10. Let l be w(8). Let s(n) = 3*n + 75. What is the remainder when (18/(-27))/(4/l) is divided by s(-22)?
8
Let s = -2521 + 2625. Calculate the remainder when s is divided by 9.
5
Let r be 25/((-175)/42) + 0 - -8. Let m be -1 - 52/(-1) - 2. Suppose 9 + m = r*n. Calculate the remainder when 85 is divided by n.
27
Let s(b) = b**3 + 4*b**2 - 3*b - 1. Let m(u) = u - 7. Let h be m(4). Let p be 34/h + 8 - 2/3. What is the remainder when 41 is divided by s(p)?
8
Suppose -3*w + w = 10. Let c(k) = 4*k**2 + 3 + 3*k**3 + 3 - 3*k**3 - 4*k + k**3. Calculate the remainder when 3 is divided by c(w).
0
Let d(m) be the first derivative of 11*m**2/2 + 80*m - 101. What is the remainder when 34 is divided by d(-5)?
9
Let r(l) = 13*l**2 + 196*l + 39. Let k be r(-15). Let p = -4 - -2. What is the remainder when 33 is divided by (-215)/(-25) - (p + k/15)?
6
Let m(w) = 10*w**2 - 92*w - 2. What is the remainder when m(10) is divided by 26?
0
Suppose -560*y + 1029*y - 625*y + 7332 = 0. Suppose 7 = -2*m + 65. What is the remainder when y is divided by m?
18
Let y(o) = o**2 - 15*o + 40. Let m be y(24). Suppose 28*g - m = -4*g. Calculate the remainder when 45 is divided by g.
5
Let b = 73 - 73. Suppose -4*h + b = i - 5, -i - 5*h = -3. Suppose i*u = 18*u - 500. Calculate the remainder when u is divided by 17.
15
Let b = 2050 + -1488. Calculate the remainder when b is divided by 9.
4
Let b = 124 + -76. Let r = b - 40. Let d(j) = -j**2 - 2*j + 38. What is the remainder when d(0) is divided by r?
6
Let t be (-31)/(-1) + (9 - 12). Suppose -30 = -4*x + u - 3*u, 4*x = 3*u + 15. Calculate the remainder when x is divided by 24/28*t/6.
2
Suppose 97*j = 62232 + 34473 - 17262. Calculate the remainder when j is divided by 43.
2
Suppose 5*w - 4*n + 1123 = 0, 3*n + 460 = -2*w + n. Let q = 246 + w. What is the remainder when q is divided by 48/5 - (-2)/5?
9
Let y(n) = n**2 + 39*n + 23. What is the remainder when 65 is divided by y(0)?
19
Let r = -3111 + 3125. What is the remainder when 1914 is divided by r?
10
Suppose 6*n - 221 = -11*n. Suppose 74 - n = 3*b + 2*v, 2*b = 2*v + 24. Let g = -7 + 16. Calculate the remainder when b is divided by g.
8
What is the remainder when 5343 is divided by (2 - (-8 + 4))*(-5)/(-15) + 160?
159
Suppose 2*d - 5*d + 5*h + 79 = 0, 44 = 3*d + 2*h. Suppose -4*w - 4*a = -244, 3*w + 27 = 3*a + 132. Calculate the remainder when w is divided by d.
12
Let z(b) = 2*b**2 - 29*b - 54. Calculate the remainder when 272 is divided by z(18).
56
Let w(m) = 11*m**2 - 7*m - 23. Suppose -6*i = -i 