 + 3*n - 77, -148 = -2*a - 4*n. What is the remainder when 190 is divided by a?
54
Let k = 25 + -2. Suppose 0 = 2*s + 3*v - 3 - 22, v - 5 = 0. Suppose 0 = 4*y - 3*o - 55, 6*y + 4*o = s*y + 9. Calculate the remainder when k is divided by y.
10
Let l(t) be the second derivative of -t**4/12 - t**3/2 + 15*t**2/2 - 60*t. What is the remainder when l(-5) is divided by 2?
1
Let o(c) = c**3 - 7*c**2 + 10*c + 23. Calculate the remainder when 144 is divided by o(6).
3
Let j = -214 + 115. Let u = j - -184. What is the remainder when u is divided by 11?
8
Let w(n) = 5*n**3 + 70*n**2 + 198*n - 4. Suppose 0 = 5*z - 0*z + 15. What is the remainder when (z/6)/((-1)/126) is divided by w(-10)?
15
Suppose 2*g + 3*q - 59 = 0, -7*g + 2*g - 5*q = -140. Let p = 26 - g. What is the remainder when p is divided by 0/(0 - -1) + 1?
0
Let x be (-2)/(-14) + 11/(-14)*-94. Suppose 0 = 3*z - x - 118. What is the remainder when z is divided by 13?
12
What is the remainder when 5*(32/4 - (-4428)/30) is divided by 27?
22
Let l be (-18)/(-2 - 5/(-4)). Let w be l/14 - (-8)/28. Suppose 7*v = 3*v, w*v - 39 = -3*m. Calculate the remainder when m is divided by 3.
1
Let v(w) = -4*w**3 - w**2 - 2*w - 1. Let c be v(-1). Suppose 5*a - 2*g = -c*g + 27, 0 = -a - 4*g + 9. Calculate the remainder when 27 is divided by a.
2
Suppose 0*t + 2*t = 244. Let g(q) = 2*q**2 - 10*q - 90. What is the remainder when t is divided by g(-6)?
38
Let a(t) be the first derivative of -t**3/3 + 4*t**2 + 10*t + 20. Calculate the remainder when a(5) is divided by 13.
12
Calculate the remainder when ((-4)/(-30)*-6)/(56/(-5740)) is divided by 28.
26
Let m = -12 - -16. Let k = m + -4. Suppose -3*o = -3*d - d - 63, k = -d. What is the remainder when o is divided by 8?
5
Let m = 22 + -40. Calculate the remainder when 3*2/27 - 392/m is divided by 6.
4
Suppose 2937 = -442*f + 445*f. What is the remainder when f is divided by 49?
48
Let h(x) = x + 47. Suppose 12 = -4*i + 48. What is the remainder when h(-5) is divided by i?
6
Suppose -5*u + 525 + 100 = 0. Let i(r) = 2*r**2 + 74*r + 642. What is the remainder when u is divided by i(-12)?
41
Let d(a) be the third derivative of a**6/120 - 3*a**5/20 - a**4/24 + 2*a**3 - 13*a**2. What is the remainder when 10 is divided by d(9)?
1
Let q = 73 + -31. Suppose 0 = -7*k + 5*k + q. What is the remainder when 83 is divided by k?
20
Let u(a) = a**2 - 2*a - 3. Let x be u(3). Let z(d) = -d + 9. Let g be z(9). Suppose -2*t + g*t + 36 = x. Calculate the remainder when 71 is divided by t.
17
Let v(b) = 19*b**2 - 14*b - 38. What is the remainder when 148 is divided by v(-2)?
16
Suppose 63 = 5*n - 72. Calculate the remainder when 402 is divided by n.
24
Let o(u) = -u**3 + 16*u**2 + u - 20. Let d be o(16). What is the remainder when (94/(-3))/(d*(-2)/(-12)) is divided by 25?
22
Calculate the remainder when (-3)/(-7) - 23632/(-196) is divided by 43.
35
Suppose -k - 1 = u - 5, 0 = -4*u + 5*k + 7. Calculate the remainder when 95 is divided by -79*(-2)/10 + u/15.
15
Let a(s) = 9*s**2 + 18*s - 109. Calculate the remainder when a(4) is divided by 20.
7
Suppose 0 = l - 4*l + 30. Let m(a) be the first derivative of -a**4/4 + 11*a**3/3 - 5*a**2/2 - 14*a - 15. What is the remainder when m(10) is divided by l?
6
Suppose 0 = -3*r + 2*d + 28, -14 - 13 = -3*r + 3*d. Suppose 0*a = -5*a - r. Calculate the remainder when (42/a)/(24/(-40)) is divided by 6.
5
Let s(v) = -2*v**3 - 7*v**2 - 5*v - 3. Let x be s(-3). Suppose 0 = g - 2*y - 4 - 9, -51 = -x*g + 3*y. Calculate the remainder when 82 is divided by g.
19
Suppose 0 = 4*y - 8*y + 1368. Let a = y - 166. Suppose 2*x - 152 = -2*l, 4*l = x + 128 + a. What is the remainder when l is divided by 20?
16
Suppose 16 = 3*r + 2*x, -2*r - 2*r = 3*x - 21. Suppose -4*d + r = -3*d. Calculate the remainder when d is divided by 4.
2
Let p be (2/(-5))/(14/(-280)). Let n = 15 - p. Let g = -9 - -21. Calculate the remainder when g is divided by n.
5
Let f be 2/(-3) - 1358/6. Let m = -123 - f. Calculate the remainder when m is divided by 35.
34
Let y(h) = 3*h**2 + 11*h - 31. What is the remainder when y(4) is divided by 152/5 + (-3)/(-5)?
30
Suppose -364 = -3*g + 2*g + b, 5*g + b = 1850. What is the remainder when g is divided by 53?
51
Suppose b = -191 + 205. Calculate the remainder when 22 is divided by b.
8
Suppose -2*o - 1238 + 1840 = 0. Calculate the remainder when o is divided by 61.
57
Let c(t) = 6*t**2 - 3 + 9 + 3*t - 5*t - 2 - t**3. What is the remainder when 92 is divided by c(5)?
16
Suppose 189 + 111 = 4*o. Suppose 5*p + 5*n - o = 140, -4*p = -5*n - 127. Suppose -m - 6 + p = 0. What is the remainder when m is divided by 12?
8
Let n = 426 - 419. Let g = 46 + -26. Calculate the remainder when g is divided by n.
6
Let c = 2160 - 2139. Suppose -3*a - 2*x = -116, a + 4*x = 41 + 1. What is the remainder when a is divided by c?
17
Let t(j) = 5*j**2 + 16*j - 1. Suppose -l + 34 = 4*o, -5*o = 3*l + 2*l - 50. What is the remainder when t(-5) is divided by o?
4
What is the remainder when (75 - -22) + (-6)/(-1) is divided by 8?
7
Suppose -8*c - 1976 = -21*c. What is the remainder when c is divided by 32?
24
Let q(h) = 5*h**3 - 9*h**2 + 5*h + 73. Let d(o) = 3*o**3 - 5*o**2 + 3*o + 36. Let u(z) = -7*d(z) + 4*q(z). What is the remainder when 159 is divided by u(0)?
39
Suppose -5*f + 3*t = -89, -3*t + t = 4*f - 80. Calculate the remainder when 113 is divided by f.
18
Suppose k = 2*o + 43, 111*o - 10 = 106*o. What is the remainder when 233 is divided by k?
45
Suppose -z + 10 = 3*l - 3, 4*l = 2*z + 14. What is the remainder when 111*(2 + -4)*1/(-3) is divided by z/(2 + (-37)/19)?
17
Let y = 425 + -394. Calculate the remainder when 122 is divided by y.
29
Let j = 28 - 24. Suppose -j*a - 464 = -12*a. What is the remainder when a is divided by 20?
18
Suppose -5*l - 10 = 0, 0 = -3*q - 0*l + l + 164. Let u = 101 - q. Calculate the remainder when u is divided by (-24)/(6/(3 + 9) + 6/(-3)).
15
Suppose -364*l = -367*l + 120. Calculate the remainder when l is divided by 33.
7
Let c(n) = -40*n - 62. What is the remainder when c(-4) is divided by 50?
48
Let t = -837 - -841. What is the remainder when 197 is divided by t?
1
Suppose 222 = 4*b - 3*a + 2*a, 3*b = a + 166. Calculate the remainder when b is divided by 25.
6
Let n = -1547 - -2058. What is the remainder when n is divided by 43?
38
Suppose -9*r + 5*r - 11 = -v, -4 = -r. What is the remainder when v is divided by (-2)/(-6)*(-252)/(-6)?
13
Let c = -30 - -32. Calculate the remainder when c*34/20 - 20/50 is divided by 3.
0
Let p = -33 - -51. Let l = 35 - p. Calculate the remainder when (-292)/(-6) + 10*6/(-36) is divided by l.
13
Let g be (-2)/(-3) - 156/(-9). Let j = -10 + g. Let n = 407 + -393. Calculate the remainder when n is divided by j.
6
Let v be 4/14*4/((-28)/(-49)). Let y be 2 + (-2 - -3) + -1. Suppose -v*l + 24 = z, y*l - l - z - 6 = 0. What is the remainder when 37 is divided by l?
7
Let y(v) = -v**2 - 22*v + 9. Let f(t) = -2*t**2 - 22*t + 8. Let z(x) = -2*f(x) + 3*y(x). Calculate the remainder when z(23) is divided by 7.
6
Suppose 0 = 4*j - 4*m - 1856, 22*m = 24*m - 10. Calculate the remainder when j is divided by 10.
9
Let a(t) = -4*t**2 + 7*t - 3. Let g(d) = d**3 + d**2 - d - 1. Let l(b) = a(b) + g(b). Calculate the remainder when l(5) is divided by 39.
37
Suppose 0 = -f - 0*f. Suppose f = 2*l + 2*l - 16. Let w = 44 - 39. What is the remainder when w is divided by l?
1
Suppose 0*k + 3*y = -3*k + 18, 3*y + 10 = 4*k. Let i(d) = 3*d + 3. Let t be i(k). Suppose t = 12*s - 11*s. Calculate the remainder when 44 is divided by s.
14
Let l = -12 - -17. Let z be (-1)/5 - 444/l. Let j = z - -179. Calculate the remainder when j is divided by 23.
21
Let n = -203 - -212. What is the remainder when 94 is divided by n?
4
Let o(u) = 29*u - 8. What is the remainder when 96 is divided by o(2)?
46
Let u be 104/12 + 2/(-3). Suppose -2*y = -7 + 5. Let r = u - y. Calculate the remainder when 19 is divided by r.
5
Let r = -668 - -670. What is the remainder when 12 is divided by r?
0
Suppose 5*g - r = 220, -g + r = -0*g - 48. Calculate the remainder when g is divided by 12.
7
Let b(i) = 31*i**3 - 6*i**2 + 5*i + 2. What is the remainder when b(2) is divided by 62?
50
Let b = -1667 - -2066. What is the remainder when b is divided by 15?
9
What is the 