 2*m**3 + 3*m**2 - 10*m + 15. Let n(k) = -3*q(k) + 2*u(k). What is the remainder when 99 is divided by n(6)?
9
Let t be ((-108)/117)/((-4)/26). Calculate the remainder when t/(6 - 152/26) is divided by (-2 + 5)/(1/7).
18
Suppose -5*b + 129 = -m, -6*m + 4*m = 2*b - 42. Suppose -b = -5*h + 75. Calculate the remainder when 30 is divided by h.
10
Let h be (0 - 1) + 12/3. Suppose h*t - 5 = 10. Suppose 30*z = 28*z + 26. What is the remainder when z is divided by t?
3
Let r be (-12)/(-1)*3/(-18)*-14. Let f(v) = r + v**3 - 15*v + 12*v**2 - 47 + 26. Calculate the remainder when f(-13) is divided by 9.
6
Let b = -1606 + 1440. Let p = -130 - -70. Let h = p - b. Calculate the remainder when h is divided by 27.
25
Let z(x) = -9*x - 16. Let r be z(-4). Let l(g) = -7*g - 7*g + r*g - 12*g + 63. Calculate the remainder when 34 is divided by l(9).
7
Let y = -10476 - -14074. Calculate the remainder when y is divided by 50.
48
Let o(a) = -20*a - 246. Calculate the remainder when o(-37) is divided by 121.
10
Suppose 0 = 22*j + 21*j - 11782. Calculate the remainder when j is divided by 84.
22
Let h(w) = 7*w**2 + 723*w - 359. Calculate the remainder when 2004 is divided by h(-104).
72
Suppose -5*c - 486 = -8*c - 3*z, 0 = 2*c + z - 326. What is the remainder when c is divided by 18?
2
Let z(d) = -29*d + 144. Calculate the remainder when z(-3) is divided by 70.
21
Let k be (3/2)/(1/8). Let g = 1779 + -1701. Calculate the remainder when g is divided by 4/k - (-69)/9.
6
Let a(v) = -v**3 - 58*v**2 - 13*v - 639. What is the remainder when 1368 is divided by a(-58)?
103
Suppose k - 151 = -5*m, m + 4*k = -0*m + 34. Let n be 173 + (2*2 - 0/19). Suppose -4*w = -413 + n. Calculate the remainder when w is divided by m.
29
Suppose w = -2, -39*w = s - 37*w - 264. Suppose 0 = -4*f - 16, -5*g + 77 = 2*f - 0*f. Calculate the remainder when s is divided by g.
13
Suppose -3*i + 11 = -5*u, u = 2*i + i - 7. Suppose i*n - 155 = -3*l - 2*l, -120 = -5*l + 5*n. What is the remainder when l is divided by 15?
14
Suppose -t = 7*t - 87*t - 316. Let b(n) be the second derivative of n**4/4 + 4*n**3/3 + 5*n**2 + 2*n. Calculate the remainder when 48 is divided by b(t).
22
Suppose -178*g - 289 + 3671 = 0. Calculate the remainder when 615 is divided by g.
7
Let j be ((-56)/8)/((21/(-153))/7). Suppose 0 = -i + u + 90, -j = -4*i + 4*u + u. What is the remainder when i is divided by 8?
5
Suppose 34*g + 11744 = 2*g. Let i = 396 + g. What is the remainder when 171 is divided by i?
26
Let v(h) be the first derivative of -12*h**3 + 15 + 21*h**3 + 2*h**4 - 9*h**3 - h. Calculate the remainder when v(1) is divided by 3.
1
Let o = -26217 - -27079. What is the remainder when o is divided by 147?
127
Suppose -4*s = s + 3*p - 409, s + p - 83 = 0. Let w(g) = -g**2 - 51*g - 76. What is the remainder when s is divided by w(-49)?
14
Let u = 0 + 61. Suppose -13*g + 5604 = 79. Calculate the remainder when g is divided by u.
59
Suppose 85*d - 1026 - 364 = -115. Calculate the remainder when 56 is divided by d.
11
What is the remainder when 2244 + (10/(-45) - (-40)/18) is divided by 150?
146
Let o = 144 + -9. Let q = -102 + o. What is the remainder when 98 is divided by q?
32
Suppose 5*q - 794 = 2*d, 27*d = 23*d - 3*q - 1588. Let j = -332 - d. Calculate the remainder when j is divided by 26.
13
What is the remainder when 2556 is divided by (965 + -11)/(-3)*-4?
12
Let a(g) = g**2 + 391*g + 788. Calculate the remainder when 36868 is divided by a(-2).
8
Let r = 3021 + -3010. Calculate the remainder when 516 is divided by r.
10
Let h(w) = -43*w + 9. Let g be -2 + (5 - (-6 - -12)). Calculate the remainder when h(g) is divided by 28.
26
Let b be (-2)/(-1) - 3/1. Suppose 0 = 9*k - 14*k + 75. Let u = k - b. Calculate the remainder when 58 is divided by u.
10
Suppose -318 = 4*k - 578. Suppose k*o + 36 = 77*o. Calculate the remainder when 6 is divided by o.
0
Suppose -2*m + 5*o - 4 = 28, -92 = 4*m - 3*o. Let g = m + 11. Calculate the remainder when (-3*(-12)/(-10))/(1/g) is divided by 11.
10
Calculate the remainder when 4036 is divided by (441/91 + (-13)/((-1183)/14))*2.
6
Suppose 0 = 3*y + 14*m - 12*m - 2426, 0 = 3*m - 12. What is the remainder when y is divided by 267?
5
Let q be -5*(-2)/55 - (-35)/(-11). Let w(a) = 2*a**2 + a + 1. Suppose -n + 4 = z, -3*z - 9 = -4*n - 0. Calculate the remainder when w(q) is divided by n.
1
Suppose 11*v + 3*v = -84. Calculate the remainder when (67*v)/((-57)/38) is divided by 89.
1
What is the remainder when 573 is divided by 30 - ((-9 - -15) + -12)?
33
Let u be 2 + -7 + (-70 + 6)/(-1). Calculate the remainder when u*3*(9 + (-156)/18) is divided by 0/(-1) - 30/(-2).
14
Let t be (10/6 + -2)*-15. Suppose -t*g = 32*g - 703. Calculate the remainder when 55 is divided by g.
17
Suppose 0 = 2*j - 4*j + j. Suppose j = -y + 159 - 48. Suppose 0 = 2*k - 14 - 32. What is the remainder when y is divided by k?
19
Suppose s = a + 27, -6*s + 3*s - 2*a = -86. Let g = s + -7. Let j(r) = -2*r**2 + 13*r - 7. What is the remainder when g is divided by j(5)?
5
Let c = 6077 - 6061. Calculate the remainder when 3598 is divided by c.
14
Let o(x) be the third derivative of -5*x**4/24 + 31*x**3/6 + 13*x**2 + 1. Let p be o(6). Calculate the remainder when (45/(-18))/(p/(-6)) is divided by 12.
3
Let v = 71 - 51. Calculate the remainder when (-961875)/6075*((-7)/7)/((-1)/(-3)) is divided by v.
15
Let t be -1*(-3)/18 - (-11)/6. Suppose -2*r + 70 = 3*a - 201, 3*a - 275 = t*r. Calculate the remainder when a is divided by 48.
43
Let x(z) = -z**2 - z + 44. Suppose -2*m - 33*h + 22 = -37*h, -m - 4*h + 11 = 0. What is the remainder when x(0) is divided by m?
0
Let d = 9911 + -5572. Calculate the remainder when d is divided by 7.
6
Let o(r) = -r**3 - 37*r**2 - 25*r + 432. What is the remainder when 70 is divided by o(-36)?
34
Let g(b) = 10*b + 3. Let v(n) = 8*n**2 - 8*n - 10. Let u be v(9). Suppose -33*a = -u - 523. Calculate the remainder when g(6) is divided by a.
30
Suppose f - 97 = -1029*n + 1028*n, 0 = 4*n - f - 408. What is the remainder when 4542 is divided by n?
98
Calculate the remainder when 24 is divided by (-24)/240 + -3*393/(-90).
11
Let q(o) = o**3 + 36*o**2 + 48*o - 678. What is the remainder when 1197 is divided by q(-34)?
1
Let f(x) = 2*x**2 - 17*x + 17. Let s = 14 - 19. Calculate the remainder when f(11) is divided by (-75)/(-2) + s/10.
35
Calculate the remainder when 1294 is divided by 150/5*(84/20 - 3).
34
Calculate the remainder when 49 - 1/3*3 is divided by (-6 - -8) + 24 + -3 + 6.
19
Suppose 3*i + 7*t - 12 = 4*t, -i + 4 = 2*t. Let a = -5 + 31. Calculate the remainder when a is divided by i.
2
Suppose 2*p + 278 = -4*z, 3*p - 8*z = -6*z - 457. Let v = p + 249. What is the remainder when v is divided by 15?
10
Let k(y) = y**2 - 3*y - 3. Suppose 0 = -14*d + 2*d - 660. Let r = -46 - d. What is the remainder when k(7) is divided by r?
7
Suppose -c = -7*m + 5*m + 477, 3*m - c - 718 = 0. Suppose 3*b - m - 182 = 0. What is the remainder when b is divided by 38?
27
Let t = 56524 - 56500. Let r(z) = -6*z**3 + z - 1. Let v(k) = k**2 + 7*k + 4. Let i be v(-6). What is the remainder when r(i) is divided by t?
21
Suppose s - 5*s + 249 = -r, 3*r = -5*s + 307. Suppose -4*y + 2*q + 72 = -s, 5*y = q + 175. Calculate the remainder when 64 is divided by y.
28
Let z(w) be the first derivative of 5*w**3/3 + 2*w**2 - 4*w + 166. What is the remainder when z(8) is divided by 13?
10
Let r be 3*(-2)/(-33) + 11668/(-44). Let k = -219 - r. What is the remainder when 226 is divided by k?
42
What is the remainder when 299 is divided by 14076/936 + (-3)/78?
14
Suppose -1905*z + 84645 = 2550*z. What is the remainder when (-3303)/(-5) - 2/(-5) is divided by z?
15
Suppose 18*q - 973 = 215. Calculate the remainder when 2375 is divided by q.
65
Suppose 0 = 3*k + 6 - 69. Suppose k*s = 22*s - 40. What is the remainder when s is divided by 6?
4
Let n be (-80)/56 + (-4)/(-14)*-2. Let g(a) = -42*a + 7. What is the remainder when g(n) is divided by 16?
11
Let n be ((1 + -3)/(-2))/((-3)/(-15)). Suppose 65 = t + 3*l, n*t + 6*l - 325 = 4*l. Calculate the remainder when t is divided by 33.
32
Suppose 0 = -16*h - 176 + 2992. Calculate the remainder when h is divided by 75.
26
Let w = -3803 - -5500. What is the remainder when w is divided by 68?
65
Suppose