t a = 19 + 18. What is the remainder when a is divided by x(6)?
9
Suppose 5*s - 4*i = 191, -5*s = -5*i - 0*i - 195. Let k be 3 - (-2 - -4) - -2. Let y = k + 7. What is the remainder when s is divided by y?
5
Suppose 5*g - 1522 = 3*l + 1752, -4*g = 4*l - 2600. What is the remainder when g is divided by 165?
158
What is the remainder when 7193 is divided by 163/815 + 38/60 + 727/6?
117
What is the remainder when (-66366)/(-60) - (-3)/(-30) is divided by 101?
96
Let l be 22/(-4)*(-40)/20. Let d = 12 + l. Suppose 0 = -0*y - 2*y - 5*r + 20, -y = -4*r - d. Calculate the remainder when 40 is divided by y.
10
Let m = -197 + 213. Suppose -24*h + m*h = -384. What is the remainder when 66 is divided by h?
18
Let i be -10 - (2/(-6)*0 + -2). Suppose -2*w = g - 4*g - 2, 2*w - 5*g - 6 = 0. What is the remainder when -235*(i/(-5) + w) is divided by 12?
10
What is the remainder when 439 is divided by ((-8)/(-72))/((-4)/48) - 394/(-3)?
49
Let r = -1467 - -1517. Calculate the remainder when 128 is divided by r.
28
Suppose -7*f + 78 = -f. What is the remainder when 6 + ((-84)/(-70) - (-604)/5) is divided by f?
11
Suppose x - 4*x - 247 = -l, -2*l = 3*x + 244. What is the remainder when x/(-3) + -4 - (-2)/(-6) is divided by 6?
5
Suppose -20 + 22 = w. Let v(z) = 35*z - 31. What is the remainder when v(w) is divided by 8?
7
Let p = -306 + 309. Suppose b - 3 = 0, -p*f + 47 = -5*b - 199. Calculate the remainder when f is divided by 44.
43
Suppose 87*w - 120*w + 168402 + 7851 = 0. Calculate the remainder when w is divided by 1778.
7
Let j(w) = -w**3 + 5*w**2 + 8*w + 4. Calculate the remainder when j(6) is divided by -3 - (5/(-6) + (-2928)/288).
0
Suppose 14400 = -197*c + 20981 + 39320. Calculate the remainder when 825 is divided by c.
126
Suppose -2*z = -4, 29*v - 34*v - 2*z + 34 = 0. What is the remainder when 2319 is divided by v?
3
Let p(s) = -3*s - 1. Let k be p(2). Let n(l) = -7*l + 3. Calculate the remainder when n(k) is divided by 6118/665 - 1/5.
7
Let q be 0 + (0/(3 + 2) - -536). Let t = q + -499. Calculate the remainder when 45 is divided by t.
8
Let a = 697 + -600. Suppose 2*l + 5*n - 9 = 0, 40 = 5*l - 5*n - 0*n. Calculate the remainder when a is divided by l.
6
Let z(q) = 3*q - 31. Let r be 68/3 + 18/54. Suppose r = 7*i - 89. Calculate the remainder when 54 is divided by z(i).
3
Let t = -644 + 890. What is the remainder when 599 is divided by t?
107
Suppose 22*q - 27 - 105 = 0. Suppose -11*w + 45 = -q*w. What is the remainder when 4*(21 - 2/(-2)) is divided by w?
7
Suppose 4*z = -24, -35*u - 84622 = -39*u + 5*z. Calculate the remainder when u is divided by 25.
23
Suppose 3153*i = 3138*i + 39364 - 10504. Calculate the remainder when i is divided by 178.
144
Suppose -6*t - 13 = -1. What is the remainder when (-15)/(3*t/8) is divided by 18?
2
Suppose -v = -9*y - 80, 19*y + 452 = 4*v + 16*y. Calculate the remainder when 1049 is divided by v.
5
What is the remainder when 471 is divided by ((10965/25)/(-17))/(4/((-100)/3))?
41
Suppose -7*c = 31*c - 7*c - 22754. Calculate the remainder when 2942 is divided by c.
6
Let k(g) = 41*g**2 - 91*g - 182. What is the remainder when k(-2) is divided by 31?
9
Suppose 0 = 4*b + 5*l - 9*l - 1436, b = 2*l + 355. Let h = b - 305. What is the remainder when h is divided by 6?
4
Let c = -1236 - -1246. What is the remainder when 44 is divided by c?
4
Let c(d) = d**2 + 12*d - 2147. What is the remainder when 755 is divided by c(43)?
101
Let a(y) = -y**2 + 30*y + 101. Let p be a(33). Suppose -3 = -3*t, 0 = 5*c + p*t - 119 + 7. Calculate the remainder when c is divided by 14.
8
Let l(y) = -86*y - 957. Calculate the remainder when l(-61) is divided by 26.
25
Let i(u) = -u**2 + 62*u + 556. Calculate the remainder when 11268 is divided by i(67).
218
Let q = 916 + -914. Suppose 6*y = q*y - i + 531, 4*i + 516 = 4*y. What is the remainder when y is divided by 45?
42
Suppose 0 = 5*w + 6*v - 6363, 820*w - 4*v = 816*w + 5108. Calculate the remainder when 6377 is divided by w.
2
Suppose 6*i - 3*i = 2*f + 1253, -4*i = -4*f - 1664. Suppose 47*m - 36 = 324 + 815. What is the remainder when i is divided by m?
21
Let i(w) = 2*w - 7. Let x(m) = 3*m - 6. Let g(n) = -4*i(n) + 3*x(n). Suppose -1147 = -23*h - 135. Calculate the remainder when h is divided by g(5).
14
Let y(v) = v**3 + 25*v**2 + 23*v + 11. What is the remainder when 7381 is divided by y(-14)?
1
Let s(a) = -a**3 - 56*a**2 + 25*a + 25. Calculate the remainder when s(-57) is divided by 185.
184
Suppose -119*x - 1660 = -57*x - 66*x. Calculate the remainder when 1684 is divided by x.
24
Suppose -22*s + 1011 + 2751 = 0. Calculate the remainder when 350 is divided by s.
8
Let i(a) = -2*a**2 + 19*a + 12. Let m be i(10). Suppose -6*t - m*s = -t + 405, 4*t + 324 = 2*s. Let r = -66 - t. What is the remainder when 72 is divided by r?
12
Let t = 4228 - 3822. Calculate the remainder when t is divided by 114.
64
Let l = 4191 - 3954. What is the remainder when l is divided by 143?
94
Let i(t) = -5*t + 40. Let w be i(8). Let h(g) = -g**3 + 2*g**2 - 3*g + 60. Calculate the remainder when 113 is divided by h(w).
53
Let q be (-8 - 3) + -1 + 0. Let x be ((-8)/q + 1)*-3. Let s = x - -19. Calculate the remainder when 110 is divided by s.
12
Let r(b) = -2*b**2 + 5*b**3 - 5*b**3 - 5*b + 6 + 2*b**3. Let o be r(-3). Let m = o + 63. What is the remainder when 22 is divided by m?
10
Suppose 0*y = -3*n - 3*y + 348, 2*y = 0. Suppose -n = -u - 3*u. Suppose -4*t + 20 = 0, -t + 38 = 2*c - u. What is the remainder when c is divided by 11?
9
Let a = -25 + 70. Let d be (-7)/(-49) - a/21. What is the remainder when 80 is divided by ((2 + -4)/(-2))/(d/(-82))?
39
Let k(m) be the third derivative of -m**5/20 + 11*m**4/3 - 3*m**3 - m**2 + 36. Suppose -235 + 43 = -4*c. Calculate the remainder when c is divided by k(29).
4
Suppose -4*h = h + 670. Let v = -88 - h. Let r = -7 + v. What is the remainder when r is divided by 21?
18
Let w(t) = -t**2 + 63*t + 2667. Suppose 0 = -4*o + 8*o - 24. What is the remainder when w(-27) is divided by o?
3
Suppose -48*o + o + 432 = -11*o. What is the remainder when 1774 is divided by o?
10
Let a(w) = -3*w**2 - 115*w + 93. Suppose 2*m - 4*m = l - 448, -2*m - 3*l = -448. Calculate the remainder when m is divided by a(-39).
14
Suppose 2*y - 3775 = -p - 908, -3*y + 4303 = 2*p. What is the remainder when y is divided by 4?
3
Let f = -659 - -680. Suppose -985 = -f*v + 611. Suppose p = -5*b + 31, 3*p = -2*b - 0*b + 67. What is the remainder when v is divided by p?
13
Let t(s) = 34*s - 2. Suppose 0 = 840*v - 828*v - 708. Suppose v*a = 17*a + 1134. Calculate the remainder when t(4) is divided by a.
26
Suppose 2 = r + 5, 0 = -2*i - 2*r + 156. Let j = i - 21. What is the remainder when 54 is divided by 1692/j - 2/10?
26
Let y(h) = 3*h**2 - h - 2. Suppose -84 - 161 = 4*w - 653. What is the remainder when w is divided by y(3)?
14
Let w(c) be the second derivative of c**4/4 - 11*c**3/3 + 21*c**2 - 187*c. What is the remainder when w(9) is divided by 16?
7
Let j(o) be the third derivative of o**6/120 - o**5/12 - 19*o**4/24 + 9*o**3/2 + 72*o**2. What is the remainder when j(8) is divided by 19?
10
Suppose -2*p + 3*k = 17 - 1131, -3*p + 1649 = k. What is the remainder when 1163 is divided by p?
61
Let x(r) = 68*r**2 - 19*r + 20. What is the remainder when x(3) is divided by 116?
111
Suppose 10*h - 21*h = -462. Let z = -2 + h. Calculate the remainder when z is divided by 21.
19
Suppose -12*b + 11*b = -9. Let v = 73 + 0. Suppose v = f + 67. What is the remainder when b is divided by f?
3
Suppose -1027*s = -1031*s + 284. Suppose -s*f = -72*f + 18. What is the remainder when 83 is divided by f?
11
Suppose 2*u + 26 = b - 2*u, 5*b - 3*u - 96 = 0. Let m be b*(-3)/(-6) - -2. Calculate the remainder when 55 is divided by 321/m + ((-18)/(-33))/(-3).
26
Let m(g) = 31*g**2 - g + 4. Let i be m(-5). Suppose 0 = 4*w + 264 - i. What is the remainder when w is divided by 29?
14
Let d(z) = -282 + 66*z - 14*z + 344. What is the remainder when d(13) is divided by 19?
16
Suppose 4*z = 0, 0 = -7*m + 5*m - 5*z + 254. Let g = -119 + m. Let r(w) = w**2 - 4*w + 6. Calculate the remainder when g is divided by r(4).
2
Let q be -39*3/(-45) + 2/5. Suppose -q*y = -742 + 7. Suppose 20*f - 25*f + y = 0. Calculate the remainder when f is divided