d by 31.
30
Suppose 0 = -27*b + 75 + 87. Let g(d) be the third derivative of 5*d**4/24 + 29*d**3/6 - d**2. Calculate the remainder when g(b) is divided by 31.
28
Suppose -8512 = -359*r + 321*r. Calculate the remainder when r is divided by 51.
20
Suppose 4*b + 114*r - 577 = 117*r, -5*b + 5*r + 725 = 0. What is the remainder when b is divided by 9?
7
Suppose 0 = 171*g - 235*g + 2496. What is the remainder when 531 is divided by g?
24
Let f be (4 + (-44)/12)*-6. Let p(u) = 31*u**2 - 3*u - 1. Calculate the remainder when p(f) is divided by 22.
19
Suppose -5*m + 48 + 207 = 0. Let k = -8 + m. Let l = k + -30. What is the remainder when 64 is divided by l?
12
Let u(z) = 50*z + 160. Suppose 12 = i - 2. What is the remainder when i is divided by u(-3)?
4
Suppose 6 = 15*k - 12*k. Suppose 4*j + 3*m - 89 = 50, -6 = k*m. Calculate the remainder when j is divided by (-384)/(-27) - (-10)/(-45).
9
Suppose 2*y = -5*h + 2577, 9*h - 5 = 4*h. What is the remainder when y is divided by 118?
106
Let i(j) = -j**3 - 27*j**2 - 88*j - 144. What is the remainder when 4318 is divided by i(-24)?
238
Let s = 261 - 180. Let m = -24 + s. What is the remainder when m is divided by 30?
27
Let q = -1335 - -1356. Calculate the remainder when 901 is divided by q.
19
Let g(v) = -v**2 + 5*v + 6. Suppose 0 = 5*n - 0*n. Suppose n = 13*c - 29 - 114. Calculate the remainder when c is divided by g(5).
5
Suppose 2*n = 2*w - 12, 9*n - 4*w = 8*n - 6. Let v be (9/n)/(-2*1/188). Let c = -129 + v. What is the remainder when c is divided by 5?
2
Let i(w) = -4*w + 7*w**2 + 2*w + 2*w**2 - w**3 + 9 - 10*w**2. Let m be i(0). Suppose -m*l + 18*l - 792 = 0. Calculate the remainder when l is divided by 23.
19
Suppose -21*g + 13*g + 480 = 0. Let j = 7 - g. Let q = -50 - j. What is the remainder when 3 is divided by q?
0
Suppose 4*o - 3*y - 58 = 0, o + 2*y + 26 - 46 = 0. Calculate the remainder when 2011 is divided by o.
11
Let b be (5/((-5)/(-88)))/((-15)/(-45)). Let s = b - 241. Calculate the remainder when 158 is divided by s.
20
Suppose 206*n = 216*n - 140. What is the remainder when 58 is divided by n?
2
Let y(p) = 48*p - 222. Let w be y(6). Suppose 0 = w*o - 4366 + 1000. Calculate the remainder when o is divided by 19.
13
Let q(y) = 63*y + 6318. Calculate the remainder when 1044 is divided by q(-84).
18
Let o be 184/6*(-2 + -1). Let v(m) = -m**3 - 12*m**2 - 43*m + 15. Let t be v(-8). Let n = o + t. What is the remainder when 39 is divided by n?
6
Let c(u) = 2*u**3 + 43*u**2 + 23*u + 49. Let l be c(-21). Let m(v) = v**2 - v - 7. What is the remainder when 97 is divided by m(l)?
27
Calculate the remainder when (444/(-5))/(-1 + (-15)/2100*-132) is divided by 87.
75
Suppose 3*z = -2*z + 4*t + 112, -8 = -z - 4*t. Let c(p) = 38*p**2 - p**3 - 3 + 49*p + 4*p + 25 - 15*p**2. What is the remainder when c(25) is divided by z?
17
Let l(n) = -n**3 + n - 5. Let t be l(0). Let m(a) = -a**3 - 3*a**2 + a + 2. Let j = 3 - -9. Calculate the remainder when m(t) is divided by j.
11
Let v = -609 + 582. Calculate the remainder when 26/117 + (-75)/v + 290 is divided by 14.
13
Suppose 0 = 3*j - 2*l - 0*l + 103, 3*l = 5*j + 172. Let u(x) = -x**3 + 19*x**2 + 31*x - 203. What is the remainder when u(20) is divided by j/14*2*-1?
2
Let i be 2868/8 + 3/2. Suppose -4*f = -12*f + i. Suppose -3*b + f = 2*b. Calculate the remainder when 15 is divided by b.
6
What is the remainder when 192 is divided by (-2)/4 - 8/32*-58?
10
Suppose 5*o = 2*t - 592, 2*t - 2*o - 926 = -334. Suppose -5*m - t = -9*m + 5*x, 3*x + 148 = 2*m. Calculate the remainder when m is divided by 19.
17
Let r = 566 - -46. Let c = r + -583. Calculate the remainder when 226 is divided by c.
23
Let s(k) = -k**2 + 34*k - 221. Let m(w) = w**3 - 3*w**2 - 4*w - 6. Let t be m(5). What is the remainder when 244 is divided by s(t)?
16
Suppose -5*v + y + 1784 = 0, 376 = v - 46*y + 49*y. What is the remainder when v is divided by 53?
40
Let f(p) = 27*p**2 + 398*p + 16. What is the remainder when f(-16) is divided by 182?
14
Let s(t) = 95*t**2 - 18*t + 16. What is the remainder when s(1) is divided by 42?
9
Suppose -164*i - 20 = -168*i. What is the remainder when -1 + 19 + -2 + 2 is divided by i?
3
Let x = -14962 - -16275. What is the remainder when x is divided by 27?
17
Let h(i) = 2*i**3 + 29*i**2 + 58*i - 1. Calculate the remainder when 3009 is divided by h(-12).
19
What is the remainder when 961 is divided by -32 - -23 - 180/(-5)?
16
Let k be 0 + -2 - (-29 - -11). Suppose 18 - 2 = -k*h. What is the remainder when (h + -2)*8/(-3) is divided by 5?
3
Let v be ((-6)/36*4)/(4/(-6)). Suppose -24 = -2*y + 4*m, -5*m + 25 = 2*y + v. What is the remainder when 36 + 0 + -2*1 is divided by y?
10
Suppose 2*s - y = -37, 0 = -s - 3*y - 38 + 2. Let g = s - -24. Calculate the remainder when 8 is divided by g.
2
Suppose x = 2*w + 18, 0 = -x - 3*w + 1 - 8. Let y = 47 - -7. Calculate the remainder when y is divided by x.
6
Suppose 2*j - 6 = 3*x, -2*x - j - 7 = 4. Suppose 2*o = 4*y - 5*y + 28, o + 4*y = 21. Let t = o + x. What is the remainder when 34 is divided by t?
7
Suppose x - 9 = 10. Let b = -8 + x. Let j(g) = -g**3 - 39*g**2 - 78*g - 145. Calculate the remainder when b is divided by j(-37).
2
Suppose s + p = -0*p - 49, 2*p - 55 = s. Let c = s + 56. Suppose -n + 4*f = c*f - 222, -5*f - 870 = -4*n. Calculate the remainder when n is divided by 37.
35
Suppose 5*y - 200 = -5*q, y + 57 = 54. What is the remainder when 124 is divided by q?
38
Suppose 2*v - 2248 = 5*k, 0*v = -3*v - 3. Let g be ((-92)/(-6))/((-2)/k*-2). Calculate the remainder when 141 is divided by g/(-138) - (-1*1)/2.
11
Let f = 7263 - 5507. What is the remainder when f is divided by 37?
17
Suppose -21*a = 53 - 95. Suppose 744 = 4*h + 2*z, a*z = -h + 196 - 7. Calculate the remainder when h is divided by 54.
23
Suppose 0*g - 6*g = -12. Suppose -3*t = -2*r + 38, -2*t = -r - g*r + 47. What is the remainder when r is divided by 7?
6
Let u(h) = 7*h**3 - 35*h**2 - 4*h - 3. Suppose 3*l - 1 = 17. Calculate the remainder when u(l) is divided by 77.
71
Suppose -9*k + 161 = -109. Let r = 153 - -55. Calculate the remainder when r is divided by k.
28
Suppose -6*x = 4*i - 20, 18*x - 17*x = -i + 7. Calculate the remainder when 6214 is divided by i.
10
Let q(x) = x**3 + 20*x**2 + 13*x - 1. Let u be q(-11). Let p = u - 931. What is the remainder when 63 is divided by p?
7
Suppose 24687*v = 24664*v + 2714. Calculate the remainder when 948 is divided by v.
4
Let y = 15 + 48. Let j be 1*(13 + -1 + 2 - 1). Calculate the remainder when y is divided by (-720)/(-270)*(-1 + 0 + j).
31
Let l be 18/1*23/69. Let f be ((-56)/24)/(2/l). What is the remainder when f/(112/(-1332)) + 1/(-4) is divided by 22?
17
Suppose 0 = -16889*o + 16896*o - 3983. Calculate the remainder when o is divided by 226.
117
Let g be ((-282)/4)/(-5 + (-51)/(-12)). Suppose 2*c = -10, -3*c + 29 = -3*h - g. Let w = h + 71. What is the remainder when w is divided by 10?
5
Let o = 12915 + -12879. Calculate the remainder when o is divided by 4/6 + (-412)/(-12).
1
Suppose -970 = -8*t - 218. Let g = t + 52. Suppose 10*i + g = 12*i. Calculate the remainder when i is divided by 19.
16
Let v = -3001 + 6854. What is the remainder when v is divided by 17?
11
What is the remainder when 8/(-2)*-274*42/16 is divided by 8?
5
Let w be (35/4 + -1)*-4. Let v = w + 125. Calculate the remainder when v is divided by 275/15 - (-20)/30.
18
Let t(c) = c**2 - 2*c + 12. Let w = -56 - -48. Calculate the remainder when t(w) is divided by 31.
30
Let c = -22309 + 23130. Calculate the remainder when c is divided by 283.
255
Let w(c) = c**2 + c - 22. Suppose -2*d = -59 + 169. Let p = -61 - d. What is the remainder when 50 is divided by w(p)?
2
Suppose -3*o + 4*o - 44 = 0. Suppose -q - 2*q + z = -o, z = -5. Suppose 968*y - 973*y + 185 = 0. What is the remainder when y is divided by q?
11
Let x = -30 - -56. Suppose -3*n + 5*a + 25 = 0, 2*a = 3*n - 2*a - x. Suppose 321*c + 6288 = 12387. What is the remainder when c is divided by n?
9
Suppose -172150 = -136*a + 118890. Calculate the remainder when a is divided by 34.
32
Let k(z) = -89*z**2 + 78. What is the remainder when 155 is divided by k(0)?
77
Suppose 0 = -p - 1, 34*i - 136 = 30*i + 4*p. Calculate the remainder when 143 is divided by i.
11
Suppose -3*b = -9 -