late the remainder when t is divided by 9.
0
Let b(p) = -2*p**3 - 9*p**2 - 24*p - 23. What is the remainder when 1137 is divided by b(-4)?
54
Let v = 16129 + -16111. What is the remainder when 2246 is divided by v?
14
Let q(w) = 16*w**2 - 1. Let l be q(-2). Suppose -8 + l = -5*i + a, -5 = a. Calculate the remainder when (-135)/i*(50/6 - 3) is divided by 16.
12
Let d = 445 + -823. Calculate the remainder when 230*(d/45 - -9) is divided by 28.
26
Let n = 3505 - 3140. Calculate the remainder when n is divided by 120.
5
Let w = 6531 + -5132. Calculate the remainder when w is divided by 56.
55
Let w(n) = 93*n**2 - 31*n + 34. Calculate the remainder when 196 is divided by w(1).
4
Let u(d) = 6*d**2 + 60*d + 10. What is the remainder when u(-16) is divided by 21?
19
Suppose -450 = -l - 2*i + 75, -24 = -3*i. What is the remainder when 536 is divided by l?
27
Let t(i) = i**3 - 9*i**2 + 13*i - 42. Let o be t(8). Let z(m) = -5*m**3 - 2*m**2 - 7. Calculate the remainder when 123 is divided by z(o).
23
Suppose -r - 3*g = -12, g = -r - 0*g + 4. Suppose r = -5*q + 2*q - q. Suppose q*n + 4*n - 96 = 0. What is the remainder when n is divided by 7?
3
Suppose 5*o = 58*o - 9010. Calculate the remainder when o is divided by 79.
12
Suppose -2*z = 4, -4*z = h - 11 + 35. What is the remainder when (2 - 0)*(-872)/h is divided by 24?
13
Let z = 1615 - 1280. What is the remainder when z is divided by 5?
0
Calculate the remainder when ((-16)/(-56) - (-20)/28) + 3361 is divided by 6.
2
Let r = 104 - -30. Suppose -8*l + r + 10 = 0. What is the remainder when l is divided by 10?
8
Let x(q) = 25*q - 7. Suppose 9*b + 3*b = -12. Let o be x(b). Let l = 47 + o. Calculate the remainder when 22 is divided by l.
7
Suppose 3*i - 3*p + 62 = 23, 5*i - p = -57. Let y = i + 43. What is the remainder when y is divided by -11 - -2 - -6 - 2*-7?
10
Let b(d) = -d**2 - 25*d + 88. What is the remainder when 260 is divided by b(-23)?
126
Suppose 4*v = 4*b + 108, -3*b - 4*v - 14 = 81. Let h = 63 + b. Suppose 9 + 21 = 5*n. Calculate the remainder when h is divided by n.
4
Let j(o) be the second derivative of o**8/224 + 23*o**4/12 - 5*o. Let r(l) be the third derivative of j(l). Calculate the remainder when 207 is divided by r(1).
27
Suppose -17 = -5*i + 8. Suppose 0 = 5*a + i*j + 235, 5*j - 14 = 3*a + 127. Let t = 54 + a. What is the remainder when 10 is divided by t?
3
Suppose -703 + 703 = 3*g. Suppose 12*r + 99 - 447 = g. What is the remainder when 173 is divided by r?
28
Let x(q) = 116*q**2 - 77*q + 15. Calculate the remainder when x(2) is divided by 82.
79
Let a = 40 + -41. What is the remainder when (40/30)/((-4)/(-66)) is divided by 12/(a + (-25)/(-10))?
6
Let a = 3514 + -3360. Calculate the remainder when 3232 is divided by a.
152
Suppose -h + 19 = 7. Suppose l = -5*n + 129, -4*l = h - 8. What is the remainder when 541/7 - (-2)/(-7) is divided by n?
25
Let m be -5*(-5)/25 + (1 - -7). Suppose x = 29 - m. What is the remainder when 59 is divided by x?
19
Let u = -29896 + 29917. What is the remainder when 2263 is divided by u?
16
Let u(f) = 2*f**2 - 90*f + 602. Suppose 4*r - 1071 = -323. What is the remainder when r is divided by u(37)?
7
Let m = -59 + 85. Suppose c - h = -3*h + m, 5*h = -3*c + 73. Suppose n - u = c, 2*n - u - 3*u = 40. What is the remainder when n is divided by 7?
5
Calculate the remainder when (3 + -4)*((-1110585)/56 + 9/(-72)) is divided by 94.
92
Let c be 0 + 45/(-27) + (-8)/6. Let f = 0 + 27. What is the remainder when (-46)/c*((-27)/(-2) + -3) is divided by f?
26
Suppose -80 = 2*k - 86. Suppose k*v = 252 + 39. Calculate the remainder when v is divided by 20.
17
Calculate the remainder when 11155 + (3 + -10 - -11 - 9) is divided by 177.
176
Let b(i) = -2*i + 10. Let q be b(5). Suppose -f - 61 + 78 = q. What is the remainder when f is divided by 3?
2
What is the remainder when -3 - -1 - 96/(-24) - -3296 is divided by 50?
48
Suppose -6*a + 30 = -a - 3*f, -a = f - 6. Suppose -w = -6*w - 180. What is the remainder when 9 is divided by w/3*a/(-12)?
3
Let v(u) be the second derivative of -74*u**3/3 + 4*u**2 - 9*u + 14. Calculate the remainder when v(-2) is divided by 29.
14
Suppose 13*j + 11 = 50. Suppose -208 = -4*l + 2*q + 346, 2*l + j*q = 297. Let n = 57 - 21. What is the remainder when l is divided by n?
33
Let b be (-3)/2*4/(-6). Let x(u) = -395*u + 2771. Calculate the remainder when 29 - (9/b)/3 is divided by x(7).
2
Suppose -1314 = -26*s - 0*s + 23*s. Calculate the remainder when s is divided by 264.
174
Let a(b) = -7*b + 47. Let c = -554 - -558. Calculate the remainder when a(6) is divided by c.
1
Let n(o) = -2*o**2 - 21*o + 5. What is the remainder when 598 is divided by n(-5)?
58
Suppose 108 = l + 93. Suppose -696 + 2616 = l*b. Calculate the remainder when b is divided by 33.
29
Suppose 98 = -i - 32. Let m = 340 + i. Calculate the remainder when m is divided by 43.
38
Suppose -464*t - 79508 = -508*t. Calculate the remainder when t is divided by 896.
15
Suppose -237 + 696 = 9*a. Suppose 26 = g - 4*i - a, -i - 423 = -5*g. Calculate the remainder when g is divided by 13.
7
Let b be (57/4)/(15/(-40)). What is the remainder when 4/b - 25920/(-760) is divided by 14?
6
Suppose 0*h + 2*h - 3*j - 12762 = 0, 19138 = 3*h - 2*j. Suppose 3*c = h + 2472. Calculate the remainder when (-8)/28 + c/35 is divided by 43.
41
Suppose 3*g = 5*k + 539 + 2121, -4*k - 2659 = -3*g. What is the remainder when g is divided by 291?
12
Let w(h) = 2*h - 34. Let s be w(14). Let z(t) = t**3 + 6*t**2 - 6*t - 12. Let j be z(s). Suppose 7*f - j - 4 = 0. What is the remainder when 18 is divided by f?
2
Suppose 154 = 2*x + 50. Let l = -22988 - -23243. Calculate the remainder when l is divided by x.
47
Suppose 9*d + 3562 = 22*d. Suppose -p = -4, -5*p - 66 = 4*l - d. What is the remainder when l is divided by 8?
7
Calculate the remainder when (-8 - (-4844)/8) + (-18)/(-12) is divided by 153.
140
What is the remainder when 974880/189 + -5 - (-2)/(-21) is divided by 27?
23
Let z(f) = 8*f**2 + 107*f - 65. Let n = -24 - 4. Let x = 50 + n. Calculate the remainder when x is divided by z(-14).
2
Let f = -213 - -217. Suppose -f*n + 3780 = 17*n. Calculate the remainder when n is divided by 14.
12
Let b = -76 - -79. Suppose s + b*s - 119 = 3*a, -2*a = s - 38. What is the remainder when s is divided by 17?
15
Suppose -3*q + 270 = 300. Let y = -17 - -11. What is the remainder when 94 is divided by (2 + q)/(((-9)/y)/(-3))?
14
Calculate the remainder when 236 is divided by (6/(-4) - -1)/((-89)/18334).
30
Let u be (-4 - -11)/(1/3). Let z = u + -12. Let p = 502 - 485. Calculate the remainder when p is divided by z.
8
Suppose 2*a - 292 = -3*i, 2677*i + 751 = 5*a + 2674*i. What is the remainder when 482 is divided by a?
35
Let o = -24401 + 24550. Calculate the remainder when 2380 is divided by o.
145
Let m = -1562 - -1697. What is the remainder when m is divided by 128?
7
Suppose -4*j = 12*u - 13*u - 114, -3*u = 6*j - 180. What is the remainder when 780 is divided by j?
26
Let m = 149 - 141. What is the remainder when m is divided by 6/(-8)*(33 + -41)?
2
Let k = 1227 + -1243. Let g be (3 + 0)*44/(-3). Let q = k - g. What is the remainder when q is divided by 8?
4
Calculate the remainder when 1108 is divided by 15*(-3280)/(-600) - (1 - -1).
68
Suppose -7*k + 1947 = -2519. Suppose -3*j + 5*b + 66 + 10 = 0, j - b - 28 = 0. Calculate the remainder when k is divided by j.
30
Let a = 10895 + -10860. What is the remainder when 216 is divided by a?
6
Suppose -5*u + 2*f + 0*f = 100, 0 = 2*u - 5*f + 40. Let g = u - -54. Calculate the remainder when g is divided by 13.
8
Let m(y) be the third derivative of -y**4/24 + 13*y**3 + 2*y**2 + 8. What is the remainder when m(10) is divided by 7?
5
What is the remainder when 459 is divided by 8/76 + 87675/1900 + 1/(-4)?
45
Let w(p) = -5*p**2 + 739*p + 178. Let b(o) = -23*o - 12. What is the remainder when b(-7) is divided by w(148)?
29
Let x(r) = 87*r + 27. Suppose 4*h + 2*h = 24. Calculate the remainder when x(h) is divided by 54.
51
Let b(v) = -31*v - 24. Calculate the remainder when b(-4) is divided by 3/6 + (-132)/(-24).
4
Let l(n) = n**3 - n**2 - 41*n + 14. Suppose -3*m + 7*m = 0. Let q(h) = -h + 123. What is the remainder when q(m) is divided by l(7)?
18
Let b be (-455)/(-525) - ((-34