e 5*u + 21 = -o + 107, o = x*u - 76. What is the remainder when 88 is divided by u?
16
Let a(b) be the second derivative of 0*b**4 - 7/20*b**5 + 3*b - b**2 - 1/3*b**3 + 0. What is the remainder when a(-2) is divided by 15?
13
Let a(s) = s**2 + 7*s - 16. Calculate the remainder when a(15) is divided by 1*548/36 + 2/(-9).
14
Suppose 4*i + 114 = m, -5*i - 10 = -0*i. Suppose g = -3*g + 16. Suppose -3*z + 112 = -g*p, 2*z + p = 4*p + 75. Calculate the remainder when m is divided by z.
34
Suppose 2*c - 5*c + 218 = 2*f, -5*f = -4*c + 306. What is the remainder when c is divided by 19?
17
Let g = -92 - -182. Suppose -5*b + g = 5*f, 36 = f + 2*b + 14. What is the remainder when 139 is divided by f?
13
Let f(s) = -47*s - 85. Calculate the remainder when 159 is divided by f(-2).
6
Let t(r) = -41*r + 797. Calculate the remainder when 554 is divided by t(16).
131
Suppose d - 6 = -1. Let o = d - -1. Suppose 0 = 3*n - 6*n + o. Calculate the remainder when 9 is divided by n.
1
Let f(o) = o**2 - 1. Let u be f(1). Suppose 9*s - 59 - 121 = u. What is the remainder when s is divided by 11?
9
Let c = 45 - 129. Let v(p) = 2*p**3 + 59*p**2 - 110*p - 512. What is the remainder when (1 - 0)/((-2)/c) is divided by v(-31)?
12
Let v be (14 + -14)/(2/(-2*1)). Suppose -5*k - 4*w + 44 = v, 0*w + 2*w = 2*k - 32. What is the remainder when k is divided by 5?
2
Let s = -452 - -709. What is the remainder when s is divided by 26?
23
Let r = -134 + 130. Let s(p) = 2*p**2 + p + 11. Calculate the remainder when s(r) is divided by 8.
7
Let c = 5 + 5. Suppose 3*z = c + 23. Calculate the remainder when 41 is divided by z.
8
Suppose -2*g + 4*q - 4 = 0, 3*g + 3*q - 39 = -0*q. Let v(w) = w**3 - 4*w**2 - 8*w + 7. What is the remainder when v(6) is divided by g?
7
Suppose 17 = 3*k - 10. Let n(s) be the first derivative of -s**4/4 + 8*s**3/3 - 2*s**2 + 3*s - 14. What is the remainder when n(7) is divided by k?
6
Let c = 54 - 50. Let x(b) = 2*b**2 - 6*b + 5. Calculate the remainder when 48 is divided by x(c).
9
Let s(l) = -8*l. Let d be s(-1). Let x(j) = -9*j + 12. Let m be x(1). Suppose m*q - d = q. What is the remainder when 15 is divided by q?
3
Let r = 337 - 256. Calculate the remainder when r is divided by 7.
4
Let i = -626 + 667. What is the remainder when i is divided by 36?
5
Suppose -2047 = 6*w - 571. What is the remainder when w*(10/4 - (9 + -6)) is divided by 25?
23
Suppose -3*w = 35 - 26. Let n(x) = x**3 + 5*x**2 + 5*x + 7. Calculate the remainder when n(w) is divided by 3.
1
Suppose a - 68 = -4*j + j, 0 = -4*a - 5*j + 251. Let c = 79 - a. Suppose 0 = 2*i - 147 + 31. What is the remainder when i is divided by c?
18
Let j = -37 + 72. What is the remainder when 1346/10 - (-924)/385 is divided by j?
32
Suppose -8 = -9*k + 5*k. Suppose -86 = -2*b - 4*r + 30, 0 = k*b + r - 128. What is the remainder when 128 is divided by b?
62
Let b(d) = -3*d + 10. Suppose g = -m - 2*m - 13, m + 3*g = -15. Calculate the remainder when 74 is divided by b(m).
17
Suppose 7*m + 2 = 2. Suppose -2*d - 5*i + 234 = 0, -d + m*i + 102 = -5*i. Calculate the remainder when d is divided by 23.
20
Let x be (6 + 2)*1/2 - 6. Let u be (2 - 0)/(1/1). What is the remainder when (-1)/u - 51/x is divided by 7?
4
Let x(q) = -3*q - 4. Let d be 1/((-70)/(-24) + -3). Suppose -3*t = 2*u - 194 - 86, -u = -4*t + 377. Calculate the remainder when t is divided by x(d).
30
Let r = -979 + 989. Calculate the remainder when 16 is divided by r.
6
Let i(w) be the first derivative of -w**2/2 - w + 1. Suppose -40 = z + 4*z. What is the remainder when 11 is divided by i(z)?
4
Suppose 11 = -2*a + 1, -2*k = 4*a + 4. Calculate the remainder when 76 is divided by k.
4
Let f = 41 - -117. What is the remainder when f is divided by 20?
18
Let h be (-4)/(-9) - 320/720. Suppose -11 = 5*o - 156. Suppose t = -2*t - 5*i + 28, h = -3*t - 4*i + o. What is the remainder when 30 is divided by t?
8
Suppose 3066 - 63 = 77*n. Calculate the remainder when 116 is divided by n.
38
Suppose -19 - 13 = -2*s. Let f(b) = 8*b**3 + b**3 - b - 14*b**3 + 6*b**3 + 4*b**2 - 6. Calculate the remainder when s is divided by f(-3).
4
Let y be 1 + 3 + 1 + 0. Suppose y*a + 96 = 3*w + 2*a, 5*a - 96 = -3*w. What is the remainder when w is divided by (34/(-6))/((-4)/12)?
15
Let p be (-1 - -88) + -2 - -3. Let x = 149 - p. Calculate the remainder when x is divided by 16.
13
Suppose 22*t - 1059 + 113 = 0. Calculate the remainder when t is divided by 30.
13
Let z(j) = -j**3 - 4*j**2 + 3*j + 1. Suppose 0*c + 4*c + 20 = 0. Calculate the remainder when 40 is divided by z(c).
7
Calculate the remainder when 549 is divided by (-3*(-6)/21)/(4/56).
9
Suppose 37*n - 117*n + 4640 = 0. Suppose 0 = 5*t - 3*k - 37, -2*t - 2*k + 14 = -3*k. Calculate the remainder when n is divided by t.
3
Let u(y) = 12*y**2 + 14*y - 20. Let b(p) = 8*p**2 + 9*p - 13. Let a(r) = 8*b(r) - 5*u(r). What is the remainder when a(-3) is divided by -4 - (-11 + 0*(-2)/12)?
5
Suppose -x - 36 + 50 = 0. What is the remainder when 223 is divided by x?
13
Calculate the remainder when 19 is divided by (-1)/(-9)*51 + (-4)/6.
4
What is the remainder when 164 is divided by (-21)/42 - 142/(-4)?
24
Let f be (-6)/12 - (-7)/2. Suppose 17 = 2*m + f*x, x = -x - 6. Calculate the remainder when 1/6 - (-418)/12 is divided by m.
9
What is the remainder when (-16)/5*(17 + -37 + -15) is divided by 23?
20
Let x be 1/(2/412)*1/2. Suppose 79 = -4*p + x. Calculate the remainder when 11 is divided by p.
5
Suppose 4*x - 27 - 1 = 0. Suppose -n + 7 = 3*i, -4*i + 2*n + 13 = x*n. Calculate the remainder when (6 - i)/(4/14) is divided by 8.
6
Suppose r = 2, -3*h - 12*r + 1 = -13*r. Calculate the remainder when 31 is divided by h.
0
Suppose -5*d + 20 = 0, -2*m + 259 = -2*d + 93. Calculate the remainder when m is divided by 30.
27
Suppose 4*x + 1 - 5 = -w, 25 = -2*w + 3*x. Calculate the remainder when 20 is divided by 5/(-10)*-6 - w.
9
Suppose -2*s - 6*s + 432 = 0. Let v(m) = m**3 + 6*m**2 + 3*m - 6. Let t be v(-5). Let u(j) = 5*j - 1. Calculate the remainder when s is divided by u(t).
16
Let c be ((-52)/(-16))/(1/8). Suppose g + 4*w - c = 0, -3*g - 5*w + 18 = -32. What is the remainder when 25 is divided by g?
5
Let d(i) be the first derivative of i**3/3 - i**2/2 - 6*i + 7. What is the remainder when (1 - 2)/(-1) - -51 is divided by d(5)?
10
Suppose -352 = -4*l + 3*t, -4*t = -2*l - 0*t + 166. What is the remainder when 356 is divided by l?
83
Let u(i) = 1360*i**2 - 8*i - 6. Calculate the remainder when u(-1) is divided by 21.
18
Suppose 3*n - 363 = -t, 10*t = 14*t - 2*n - 1452. What is the remainder when t is divided by 61?
58
Let r = 49 - 44. Suppose -25 = -r*z + 15. What is the remainder when z is divided by 4?
0
Calculate the remainder when (-2 - -1*219) + -22 + 26 is divided by 32.
29
What is the remainder when 5 is divided by 2/(-17) + (-522)/(-102)?
0
Suppose 5*x - 25 - 135 = 0. Let a = -4 - -4. Suppose a = -c + x + 17. What is the remainder when c is divided by 17?
15
Let b = 901 + -870. Calculate the remainder when 371 is divided by b.
30
Suppose 2*q + 150 = 38. Let v = -41 - q. What is the remainder when v is divided by 4?
3
Suppose -195 = -3*u + 6*g, 0 = -7*g + 2*g + 5. Calculate the remainder when 418 is divided by u.
16
Suppose -u - 3 + 21 = 0. Let c = u - 16. What is the remainder when -7 - -20 - (c + -4) is divided by 6?
3
Let l be (6/8)/(2/8). Let p(t) = 36*t - 35*t + 0*t**3 - 3 - t**3 + 4*t**2. What is the remainder when 43 is divided by p(l)?
7
Suppose 2*r = 6*u - 4*u - 106, -4*r + 8 = 0. Let q be (3/6)/((-1)/(-78)). Let k = u - q. What is the remainder when 30 is divided by k?
14
Let t be 3 + 5*18/15. Suppose -i - 3*n + t = 2*i, -i - 4*n - 6 = 0. What is the remainder when i is divided by 2?
0
Suppose -4*m - 5*t + 324 = 0, 4*m = 4*t - 3*t + 324. Calculate the remainder when m is divided by 14.
11
Suppose -4 = -2*m - 3*p, 2*p + 2*p = -2*m. Let a = 206 - 169. What is the remainder when a is divided by m?
5
Suppose 5*n - 4*o - 3 + 5 = 0, -4*o = -2*n - 8. Suppose -k + 16 = s - n*k, -s = k - 20. What is the remainder when s is divided by 10?
8
Let c = 91 - 80. What is the remainder when 87 is divided by c?
10
Suppose -6 = 5*o - 3*p, -p + 10 = 3*o + 4*p. Suppose 0*w + 2*w - 126 = o. Let m(q) = -31*q**3 - q. Calculate the remainder when w is