m + 40, -m = u + 3*m - n. Let x = -5009 - -5242. Calculate the remainder when x is divided by u.
8
Suppose -10*o = -17 - 3. Suppose o*s - 419 = -5*c, -180 - 7 = -s + 5*c. Calculate the remainder when s is divided by 68.
66
Let g(m) be the second derivative of -m**3/6 - 13*m**2/2 - 7*m. Let a be g(-3). Let r = 40 + a. Calculate the remainder when 59 is divided by r.
29
Suppose -105*o = -53*o - 3616 - 1012. Let c = -13 - -36. What is the remainder when o is divided by c?
20
Calculate the remainder when 8846 is divided by 10/20 - 1265/(-46).
26
Let k(o) = o**3 + 23*o**2 + 100*o - 20. Let f = -32 + 61. Calculate the remainder when k(-8) is divided by f.
24
Suppose 0*d = 5*t + d - 193, 0 = 4*t - 4*d - 164. Let v(m) = 2*m**3 + 17*m**2 + 227*m + 591. Calculate the remainder when t is divided by v(-3).
3
Let f(l) = -l**3 + 13*l**2 + 10*l + 60. Let k(c) = -c**3 - 6*c**2 + 11*c - 6. What is the remainder when k(-8) is divided by f(14)?
2
Suppose -4*p + 2*p = -8*p + 2304. What is the remainder when 785 is divided by p?
17
Suppose -97*p + 2904 = -9*p. Calculate the remainder when 96 is divided by p.
30
Let o = -16259 + 17162. What is the remainder when o is divided by 265?
108
Suppose -o + 2*y + 9 = -2*y, 15 = o - y. Suppose 3*c + 2*c = 5*v + 75, -o = -c - v. Suppose -31 = -2*s - 13. Calculate the remainder when c is divided by s.
7
Suppose 135 = 5*k + w, -5*w - 145 = -2*k - 64. What is the remainder when 118 is divided by k?
6
Suppose -88*i + 87*i + 4 = 0. Suppose -896 = -4*w - i*b, -2*w + 630 = b + 180. What is the remainder when w is divided by 57?
55
Let x(w) = -9 + 10*w + 2*w + 3*w**3 - 2*w - 2*w**2 - 5*w. Calculate the remainder when x(3) is divided by 26.
17
Suppose -6 = a - 5. Let b = 15 - a. Suppose 4*r = -17*x + 15*x + 20, x - r = 4. What is the remainder when b is divided by x?
4
Let k(t) = t**3 - 4*t**2 + 3*t - 3. Suppose -3*r = 3, -5*a + 4*r - 2 + 1 = 0. Calculate the remainder when k(5) is divided by (-832)/(-65) - a/5.
11
Suppose -3*t + 4*t - 7 = 0. Let v(c) = -c**2 + 25*c + 11. What is the remainder when v(t) is divided by 28?
25
Suppose t - 5*x - 54 = 0, 310 = -5*t + 3*x + 668. Calculate the remainder when 2067 is divided by t.
69
Let a be 3*(2/(-10) + 304/(-80)). Let z(k) = -k**2 - 12*k + 15. Let h be z(a). Calculate the remainder when 458/14 - (-1 - h/(-21)) is divided by 17.
16
Let s = -158 - -165. Suppose 0 = a - 2 - s. Calculate the remainder when 36 is divided by a.
0
Let i = 361 - 205. Suppose -9*z + 3298 = 2920. Calculate the remainder when i is divided by z.
30
Let o(x) = -118*x**2 + 51*x + 92. Let f(j) = 39*j**2 - 17*j - 30. Let v(c) = -11*f(c) - 4*o(c). What is the remainder when v(-2) is divided by 17?
15
Suppose g - 142020*l = -142023*l + 88, 4*l + 768 = 4*g. Suppose -2*r - 12 = r. Calculate the remainder when g is divided by 8/(-6)*102/r.
30
Suppose 167 = -g + 171. What is the remainder when 12144/96 + 2/g is divided by 26?
23
Suppose 25 = c - 10. Let w(p) = p**2 + 188*p - 791. Calculate the remainder when w(5) is divided by c.
34
Suppose -3*i - 126 = -3*r, -230 = 3*r - 8*r + i. Let a = 379 - 313. What is the remainder when r is divided by a/44*(-4)/(-3) + 14?
15
Suppose j = 3*m + 7414, -26845 - 2781 = -4*j - 3*m. Calculate the remainder when j is divided by 13.
11
Suppose 3*x = 5*o - 731, 16*o - 13*o = -x + 433. What is the remainder when 196 is divided by o?
51
Let t = -11951 + 12039. What is the remainder when 1221 is divided by t?
77
Let j = -4237 - -4343. Calculate the remainder when 380 is divided by j.
62
Suppose -4*o + 140 = 116. Suppose 816 = -119*m + 131*m. What is the remainder when m is divided by o?
2
Let i(u) = 22*u + 12. Let f be i(-8). Let w = -3989 - -3998. Calculate the remainder when f/(-10) - (-10)/(-25) is divided by w.
7
Suppose -34*k + 27419 = 2072 - 4675. What is the remainder when k is divided by 59?
57
What is the remainder when 391 is divided by (((-16)/42)/(1/(-3)))/((-170)/(-4165))?
27
Let n(a) = a**2 + 129. Let z be n(0). Let o = z - -10. Suppose 2*d = -2*u + 76, 3*d + 0*d - 111 = -2*u. Calculate the remainder when o is divided by d.
34
Suppose 5*q - 5369 = -5329. Let m(r) = r + 53. Let f(b) = -2*b + 8. Let i be f(4). Calculate the remainder when m(i) is divided by q.
5
Suppose 3*c - 239 - 547 = 5*b + 1305, -5*b = 0. Calculate the remainder when c is divided by 70.
67
Suppose -3*i - 104 = -j, -4*j + 3*i - i = -386. Let u = -97 + j. What is the remainder when 9130/40 - u/(-8) is divided by 58?
54
Let t(p) = 17*p + 76. Let c be (-2)/(-6) - 4/(-6). Suppose 2*q = c + 7. Calculate the remainder when t(-4) is divided by q.
0
Let s(k) = 99*k**2 + 63*k - 90. Let h(p) = 14*p**2 + 9*p - 13. Let o(t) = -27*h(t) + 4*s(t). What is the remainder when 161 is divided by o(1)?
17
Let s = -40 - -72. Calculate the remainder when (640/110 + -14)*-11 is divided by s.
26
Let q(g) = 700*g - 3405. Calculate the remainder when 848 is divided by q(5).
88
Let a be (0 - 18)*(-987)/(-94). Calculate the remainder when 162 is divided by (-9207)/a - (-2)/7.
15
Let n(b) = -37*b - 87. Let p be n(5). Let o = 286 + p. Let v(s) = 2*s**2 + 3*s - 6. Calculate the remainder when v(4) is divided by o.
10
Let z(q) = 12*q - 1. Suppose -201 = -307*d + 193 + 527. Calculate the remainder when z(1) is divided by d.
2
Suppose -3*t + 704 = -6*y + 4*y, -916 = -4*t - 3*y. Suppose 5*u = 3*i + t, -5*i + 15 = u - 9. Calculate the remainder when u is divided by 19.
6
Let g(x) = 3*x + 62*x**2 - 121*x**2 + 63*x**2 + 16 + 9*x. Calculate the remainder when g(-6) is divided by 19.
12
Let u be -4 + 2 - 1/(-1) - -147. Suppose 11*y - 13*y + u = 0. Let f = y - 55. What is the remainder when 49 is divided by f?
13
What is the remainder when (12760/(-33) - (-4)/6)/((-10)/750) is divided by 131?
130
Suppose -5*d + 89 = 79. Let t = d + 9. What is the remainder when (-18)/(1 + 18/(-14)) is divided by t?
8
Let m(n) = 12*n**2 + 70*n - 1815. Calculate the remainder when m(-40) is divided by 187.
186
Let r = -12370 + 12495. Let l = -14 + 23. Calculate the remainder when r is divided by l.
8
Let h = 313 + -295. Suppose 2*j - h*c = -17*c + 12, 2 = 2*j + 4*c. What is the remainder when 28 is divided by j?
3
Let n(r) = -484*r - 1953. Calculate the remainder when n(-8) is divided by 20.
19
Let g be (-4924)/(-14) - (150/(-35) - -4). Suppose -13*w + g = -90. What is the remainder when w is divided by 5?
4
Suppose 1369*u = 1391*u - 194678. What is the remainder when u is divided by 167?
165
Let g = -2938 + 2968. Calculate the remainder when 2365 is divided by g.
25
Let i = 24512 + -24502. What is the remainder when 4361 is divided by i?
1
Suppose -3*z = -v - 0*z + 90, 2*z = 4*v - 400. Suppose -5*i + 137 = 5*m - 8, -3*i = -4*m + v. Calculate the remainder when m is divided by 5.
2
Suppose 3*x - 117 = -g, -2*g + 90 = -2*x + 26*x. Let m(u) = 5*u - 2. What is the remainder when g is divided by m(4)?
15
Calculate the remainder when (-24)/108 + 16708/18 is divided by (-6 + 324/30 + -1)*5.
16
Suppose -2*j - 8 = -5*t, -5*t - 8 = -0*t + 2*j. Suppose 0 = l + 2 - t. Calculate the remainder when 17 is divided by (-2)/4 + (-15)/l.
3
Suppose 5*c + 5*a - 50 = 0, -2*a - 2 - 2 = 0. Calculate the remainder when ((391/138)/(2/9))/(54/2736) is divided by c.
10
Let s(x) = 24 - x**2 - 22 + 2*x + 7*x. Suppose 5*k - 56 = -4*y + 7, -15 = -5*k. What is the remainder when s(4) is divided by y?
10
Suppose 0 = 1612*f - 1630*f - 481 + 2119. What is the remainder when 904 is divided by f?
85
Suppose 18*u + 5*j + 20 = 23*u, j - 8 = -3*u. Suppose -58 = -u*a + 4*p - 8*p, 0 = a + 4*p - 22. Calculate the remainder when 38 is divided by a.
2
Let i = 17 + -2. Suppose 5 = 5*s + 5*q - 25, 5*q - i = -2*s. Calculate the remainder when (574/123)/((-1)/3 + 1) is divided by s.
2
Let t(x) = 2*x**3 + 26*x**2 - 171*x - 21. Let l(o) = o**2 - o. Let h be l(-4). Suppose -3*w + 7 = -h. What is the remainder when t(5) is divided by w?
6
Suppose 12*q + 36 = 14*q. Suppose m - 72 - q = 4*t, -t = -2*m + 194. What is the remainder when m is divided by (1 - 3)*136/(-16)?
13
Suppose 5*x - 445 = 7*g - 2*g, 13*g + 1109 = -3*x. Suppose d = 0, 2*l + d - 162 = 18. Let j = g + l. What is the remainder when 9 is divided by j?
1
Suppose -7*u = -6*u. Suppose w + y - 2 = u, 0 = -2*w + 4*y + 13 + 21. What is the remainder when 27 is divide