3 + -5). Let a = s + -29. What is the remainder when a is divided by 5?
4
Let j = 1414 + -1098. What is the remainder when j is divided by 79?
0
Let u = -1 + 3. Suppose -218 = -a - u*a + 4*q, 3*q = -15. Suppose 80*g = 14 + 33 + 1313. Calculate the remainder when a is divided by g.
15
Let a(x) be the third derivative of 0*x + 0 + 3/4*x**4 - 5/3*x**3 + 28*x**2. What is the remainder when a(12) is divided by 42?
38
Let a(s) = 5*s**2 + 2*s - 2. Let r be a(-3). Suppose 32 + r = 3*v. What is the remainder when 99 + -9 + (0 - 2 - 0/(-1)) is divided by v?
19
Let q = 53 + -43. Suppose q*z = 918 - 198. Calculate the remainder when 286 is divided by z.
70
Suppose -4*f + f + 57 = 0. Calculate the remainder when 5*10/(-100)*(-226)/1 is divided by f.
18
Suppose -159*g + 155*g - 3*q = -1732, -2*g + 866 = 4*q. Calculate the remainder when g is divided by 116.
85
Suppose 2*f + 3 = 3*h + 12, -5*h - 4*f = -7. Let j be 21/(-7) - (h - (1 - -1)). Suppose 3*m - 184 + 37 = j. What is the remainder when m is divided by 27?
22
What is the remainder when 28*-1*(-240 + 8/(-8)) is divided by 18?
16
Suppose 84 = -26*u + 30*u. What is the remainder when ((-464)/(-6))/(14/u) is divided by 36?
8
Suppose 3*p = -3*z + 359 + 163, 0 = z + 5*p - 162. Let x(b) = -5*b**3 + 137*b**2 + 84*b + 36. Calculate the remainder when z is divided by x(28).
33
Let l(t) = 5*t**3 + 78*t**2 + 2*t + 81. What is the remainder when l(-13) is divided by 29?
19
Let o be 1/(-4) - 553/28. Let u = o - -24. Suppose -j = 2*q - u*q + 66, -j + 165 = 5*q. Calculate the remainder when 197 is divided by q.
32
Suppose 5*l + 669 = 3704. Let p = l + -543. Calculate the remainder when 508 is divided by p.
60
Let h be (-12)/14*11/((-22)/84). Suppose 4*q + 5*q = h. Suppose -129 = -3*n - q*o, o + o = 2*n - 86. Calculate the remainder when n is divided by 9.
7
Let z = 150 - 106. Suppose 3628 = 141*s - 461. What is the remainder when z is divided by s?
15
Suppose -10 = 415*i - 417*i. Suppose -4*v + 0*v + 675 = i*t, -5*t + 715 = -4*v. What is the remainder when t is divided by ((-2)/(-6))/((-2)/(-84))?
13
Let w(r) = 30*r**2 + 4*r - 4. Let l be w(1). Suppose 7*s + l = 12*s. What is the remainder when (382/(-14))/(-1) - 124/434 is divided by s?
3
Suppose -2846 = -169*j + 3238. Calculate the remainder when 431 is divided by j.
35
Let r(m) = -13*m - 101. Let q be r(-8). Suppose q*d = -2*d + 285. Calculate the remainder when d is divided by 5.
2
Let h(g) = g**3 + 13*g**2 + 55*g + 249. What is the remainder when h(-6) is divided by 152?
19
What is the remainder when (978 - ((-6)/(-4))/(114/(-152))) + 5 is divided by 38?
35
Suppose 5*a - 7562 = -f, -13 - 12 = -5*a. Calculate the remainder when f is divided by 260.
257
Let b(o) = -o**2 + 7*o - 5. Let y be b(5). Suppose y*q - 2*q - 66 = 0. Let r = 75169 + -75157. What is the remainder when q is divided by r?
10
Let v be (2*41)/(0 + -2). Let y = 58 + v. Calculate the remainder when y is divided by (-2)/4*-3*6.
8
Suppose -39*w + 142554 + 57043 = 20*w. What is the remainder when w is divided by 9?
8
Suppose -3*r - 5*n - 130 = -0*r, 0 = 4*n + 8. What is the remainder when 131 is divided by r/(-8) + 3 + 30?
17
Suppose 2*j - 3*j + 2*t = -211, 5*t + 423 = 2*j. What is the remainder when j - (-5)/(-30)*6 is divided by 21?
19
Suppose 4*h + l = -0*h - 7, -34 = 3*h - 5*l. Let a(r) = 22*r**2 + 6. Let o be a(h). Suppose 20*k = 23*k - o. What is the remainder when k is divided by 24?
20
Suppose -3*j = -w - 6823, 5*j = 3*w + 6978 + 4387. What is the remainder when j is divided by 134?
132
Let a be 0 + -4 - 980/(-20). Suppose -10*h = -6*h - 248. Let b = h - a. What is the remainder when 62 is divided by b?
11
Let f = 136 - 91. Let t = 75 - f. What is the remainder when t is divided by -3 + (46 + 2)/3?
4
Suppose -3 - 3 = -2*p. Suppose 7*s - 12 = p*s. Let z(x) = 6*x - 1. What is the remainder when z(1) is divided by s?
2
Let x(c) = -c**3 + 6*c**2 + 9*c - 16. Let d be x(7). Let p be 52/13 - (-4)/d. Calculate the remainder when -3 + (p - 1)*58 is divided by 12.
7
Suppose -4*n + 145 - 142 = -v, -4*v + 4*n = -12. Suppose -50 - 21 = -4*k - i, -5*k - 4*i = -75. Calculate the remainder when k is divided by v.
4
Suppose -4*z + 141 = -147. Let b = -1178 - -1197. What is the remainder when z is divided by b?
15
Let d(k) = -k**2 - 14*k - 22. Let z be d(-12). Suppose 20 = 5*p, -4*f - 48 = z*p - 3*p. What is the remainder when 43 is divided by (-167)/f - (-5)/(165/(-6))?
13
Let s = -189 - -212. Suppose 2*g = -0*g + 3*k + 469, -2*g - 5*k + 429 = 0. Calculate the remainder when g is divided by s.
20
Let t = 1239 + 1370. What is the remainder when t is divided by 2598?
11
Let k be (19/((-152)/928))/(0 + -1). Suppose -790 + k = -2*w. Calculate the remainder when w is divided by 20.
17
Let u = -7579 - -7593. Let m be 0/((-1 - -1) + 1). Suppose 5*h = 5*j - 25, m*j + 5*h - 25 = -5*j. Calculate the remainder when u is divided by j.
4
Let h(z) = -17 + 25*z**2 - 24*z**2 - 10. What is the remainder when 50 is divided by h(6)?
5
Let r(b) be the third derivative of b**4/4 - b**3/6 - b**2. What is the remainder when (132/4 - 21)/(12/30) is divided by r(2)?
8
Suppose 168 - 202 = 2*r - 188. What is the remainder when 189 is divided by r?
35
Suppose 13*k = 9 + 4. Let b(v) be the first derivative of 17*v**4/2 + v**3/3 - v**2/2 - 3. Calculate the remainder when b(k) is divided by 7.
6
Let c(n) be the first derivative of -n**4/2 - n**3 + n**2 - 2*n - 1. Let i(w) = 1242*w - 135342. Calculate the remainder when i(109) is divided by c(-3).
17
Let q(t) = -94*t**3 + t**2 + t + 1. Let o be ((-1)/4*3)/(1/4). Let j(l) = 11*l**2 + 27*l - 4. Calculate the remainder when q(-1) is divided by j(o).
11
Suppose -i + 145 = 5*j - 6*i, 0 = -4*j - 3*i + 95. Suppose -24*r + 21*r + j = -o, -2*r - 3*o - 1 = 0. What is the remainder when 40 is divided by r?
5
Let g = 4 + -4. Suppose -4*v + 19 = -g*b + b, 0 = 3*b + v - 13. Suppose -r - 5*a = -29, -r + 24 = 3*r - b*a. What is the remainder when r is divided by 4?
1
Let y = 1474 - -2390. Calculate the remainder when y/108 + (-4)/(-18) is divided by 23.
13
Suppose -240 = -0*k - 4*k. Calculate the remainder when k is divided by ((-3969)/(-945))/(14/30).
6
Suppose -g + 3*k + 16 = 0, -3*g + 740 - 692 = 2*k. What is the remainder when 2205 is divided by g?
13
Let a = -14265 - -14335. Calculate the remainder when 461 is divided by a.
41
Let l(x) = -3*x**2 - 89*x - 547. Calculate the remainder when 1692 is divided by l(-10).
15
Let q = 116 - 65. Calculate the remainder when -7 + 9/(-9)*-310 is divided by q.
48
Let k = -11627 + 12678. Calculate the remainder when k is divided by 3.
1
What is the remainder when (1001 - (-1 + -1)) + (-28)/364*-91 is divided by 7?
2
Suppose -k + 5*k = 3*p - 51, -4*k - 5*p - 11 = 0. Let f(z) = -z**3 - 9*z**2 + 5*z + 80. What is the remainder when (-1)/(-5) - (-1038)/10 is divided by f(k)?
34
Suppose -5*n - 2*w + 181 = 0, 0 = 16*n - 13*n + 4*w - 103. Let i(m) = m**2 + 3*m + 2. Calculate the remainder when n is divided by i(-6).
17
Suppose 0 = 33*v + 781 - 913. What is the remainder when 1352 is divided by v?
0
Suppose 2*w - 46 = -29*y + 32*y, -5*y = 2*w - 78. What is the remainder when w is divided by -2 + 1 - (-9 - 0)?
5
Let n = 1338 + -1193. Calculate the remainder when n is divided by 109.
36
Suppose 4 = -x - x, 0 = 2*p + 5*x + 6. Suppose p = -2*o + 18. Suppose -30*c - 5 = -n - 28*c, 0 = -n + 4*c - 1. Calculate the remainder when n is divided by o.
3
Suppose -4*u + 11 = 3, 3*h - 4*u = -41. Let b = 60 - h. Let q = 226 - 189. Calculate the remainder when b is divided by q.
34
What is the remainder when 602 is divided by (2 + 22/4)*(-564)/(-470)?
8
Suppose 11*r = 170 + 864 - 88. Calculate the remainder when 2629 is divided by r.
49
Let b(g) = -335*g + 10760. Suppose -u - 52 = -5*u. What is the remainder when b(32) is divided by u?
1
Suppose 7*q - 13 = 43. Suppose t - 3*g = -t + 69, -5*g - 133 = -4*t. What is the remainder when t is divided by q?
3
Suppose -22*i - 6 = -23*i. Let r be ((-75)/i)/((-1)/8). Suppose 12*m - 7*m = r. What is the remainder when 39 is divided by m?
19
Suppose 13*i - 9*i = 240. Suppose 0 = b - t - 12, 5*b - t = i. What is the remainder when 13 is divided by b?
1
Let a(y) = 660*y + 30. Let x be a(4). Calculate the remainder when x/45*(-3 + (-15)/(-2)) is divi