53*k**2 - 41*k - 48. Calculate the remainder when p(-7) is divided by 98.
92
Suppose 6*w - 9*w = -264. Suppose 4*q = 4*o - w, 0 = -5*o - 5*q + 4*q + 86. What is the remainder when o is divided by 5?
3
Suppose 0 = -w - 5*i + 128, -4*w - 3*i - 49 = -527. Suppose -4*a + 90 = 3*y, -10*a = -5*a + y - w. Calculate the remainder when 211 is divided by a.
19
Let j(z) = z**3 + 3*z**2 - 11*z. Let v be j(-5). Suppose v*k + k - 48 = 0. Suppose -s + 3 = -26. Calculate the remainder when s is divided by k.
5
Let c(r) = -2*r**3 + r**2 - 10*r - 31. Calculate the remainder when c(-3) is divided by 14.
6
Let a(i) = 55291*i + 331789. Suppose 4*g + 466 = 3034. Calculate the remainder when g is divided by a(-6).
40
Let j be 185 + -193 + 1 + 119. Let p = -96 + 212. Let u = p - j. Calculate the remainder when 26 is divided by u.
2
Let i(c) = c**3 + 35*c**2 - 80*c - 155. Let w(x) = 2*x**3 + 27*x**2 + 14*x - 24. Let l be w(-13). Calculate the remainder when 196 is divided by i(l).
62
Let v be (-261)/(-4) - -1 - 1/4. Suppose 434 = -64*s + v*s. Calculate the remainder when s is divided by 22.
19
Let b be 7*(2/(-28))/(3/180). What is the remainder when 34 is divided by -2*b/180*(1 - -20)?
6
Let m(b) = b**2 + 25*b - 37. Suppose -2*k = 7*i - 6*i + 37, -4*i - 2*k = 118. What is the remainder when (-610)/(-25) + (-4)/10 is divided by m(i)?
7
Let c(u) = -54*u**3 + 1 - 5*u**2 - 3*u + u**3 - 38*u**3 + 0*u**2. What is the remainder when c(-1) is divided by 9?
0
Suppose 0 = 19*x - 20*x - 4*a + 485, 4*x = -4*a + 1892. Let y = x + -425. Calculate the remainder when 73 is divided by y.
29
Let k(a) = 2*a**3 + 127*a**2 - 43*a + 171. Calculate the remainder when k(-63) is divided by 13.
11
Suppose u + 4*n - 49 = 0, -5*u + 3*n + 341 = -n. Suppose 18*a = 13*a + u. Calculate the remainder when -2 - (-220)/8 - (-3)/(-2) is divided by a.
11
Suppose -32*u - 951 = -37*u - 4*w, 3*w = 12. What is the remainder when 536 is divided by u?
162
Let c(p) = 55*p**3 + 3*p**2 - 17*p + 14. What is the remainder when 107 is divided by c(1)?
52
Let t(w) = -2*w**3 - 112*w**2 - 151*w - 72. Calculate the remainder when t(-55) is divided by 24.
23
Let o be 9/((-18)/(-16))*(-4)/(-32). Suppose -2*x = o - 13. Calculate the remainder when 28 is divided by x.
4
Let y(q) = q**2. Let b be y(-3). Suppose c - 13 - b = 0. Suppose 965*d = 1018*d - 4293. What is the remainder when d is divided by c?
15
Let y(t) = t**3 - 42*t**2 + 292*t - 12247. Suppose 0 = z + 3*z - 540. Calculate the remainder when z is divided by y(42).
16
Suppose -51*p = -5*i - 46*p + 180, -2*p = 2*i - 80. Calculate the remainder when 1746 is divided by i.
36
Let z(g) = -797*g + 970. What is the remainder when 793 is divided by z(1)?
101
Let v(g) = -29*g**3 - 9*g**2 - 15*g - 5. Let l(s) = -2*s**3 + s**2 + 3*s + 1. Calculate the remainder when v(-2) is divided by l(-2).
11
Let g(n) = n**2 + 4*n - 3. Let j = -339 + 332. What is the remainder when 125 is divided by g(j)?
17
Suppose 4*l - 3073 = w, 5*l - 2534 - 1326 = 5*w. Calculate the remainder when l is divided by 189.
11
Suppose 2*r = -2*u - 4, 2*r + 3*u = -2*r - 8. Let h be 9*4/12*(0 - r). Let o = 23 + h. Calculate the remainder when o is divided by 16.
13
Let u be 12/(-2) + (-4 - -13). Calculate the remainder when 31 is divided by u/(-12) - 145/(-20).
3
Suppose 25979 = -4*b - 2*u + 122779, -3*u = 3*b - 72612. Calculate the remainder when b is divided by 242.
238
Calculate the remainder when ((-8)/(-6) - (-78)/(-117)) + (-200912)/(-6) is divided by 183.
180
Let v(u) = -u**3 + 8*u**2 + 4*u + 11. Let p be v(6). Let w = p - 27. Calculate the remainder when w is divided by 23.
11
Let s be (-1)/5 + (-1530)/(-25). Suppose -3 = 12*u - 13*u. Suppose -3*y = -h + s, 0 = -y - u. What is the remainder when h is divided by 27?
25
Suppose -2*j + 6 = 4. Suppose -16*n + 891 = 11. What is the remainder when n is divided by (19/(-2))/(j/(-2))?
17
Let g(r) = 10*r**2 - 27*r - 63. Let m(d) = 8*d**2 - 28*d - 61. Let l(u) = 5*g(u) - 6*m(u). Calculate the remainder when l(-18) is divided by 55.
50
Let f(z) = -28*z - 15 + 17 + 27*z + 95*z**2. What is the remainder when f(-1) is divided by 9?
8
Let r be -4 + (-21)/(-3) - -36. Suppose -2*w = w - 6, 2*w - r = -5*j. What is the remainder when 103 is divided by (-54)/(-126) + 179/j?
25
Let r be 4 + -2 + (4/(-2))/2. Let b(i) = 10*i**3 - i**2 + 1. Let a(x) = -x**3 - 7*x**2 + 5*x - 6. Calculate the remainder when a(-8) is divided by b(r).
8
Suppose 13*p + 6 = -7. Let h be (p + 3)*205/10. Suppose 0 = -43*d + h*d + 42. What is the remainder when 83 is divided by d?
20
Let f = -13797 - -14334. Calculate the remainder when f is divided by 36.
33
Suppose -6*u + 270 = -u. Suppose 108*h = 94*h + 140. Suppose -3*t = 12*c - h*c - 655, -2*t - 4*c + 450 = 0. Calculate the remainder when t is divided by u.
53
Let q(l) be the first derivative of 5*l**2/2 + 112*l - 54. Calculate the remainder when 153 is divided by q(-12).
49
Let a = -7588 + 7600. Suppose -2*s = 2*f + 3*f - 745, 473 = 3*f - 4*s. What is the remainder when f is divided by a?
7
Let l = -16265 + 17411. Calculate the remainder when l is divided by 52.
2
Suppose 4*v = 5*m + 26143, 4*v = -6*m + 8*m + 26122. What is the remainder when v is divided by 22?
15
Suppose 2*m = -5*j + 180, -450 = -5*m + 24*j - 29*j. What is the remainder when m is divided by (-4)/(32/92)*-2?
21
Let p = 2812 + -2011. What is the remainder when p is divided by 62?
57
Let y(g) = 5*g + 121. Let w be y(-28). Let z(a) be the third derivative of -a**4/24 + 11*a**3/3 - 4*a**2. What is the remainder when z(w) is divided by 17?
7
Suppose -957*c = -968*c + 44. What is the remainder when 2813 is divided by c?
1
Suppose 3*n - 65 - 589 = 0. Calculate the remainder when n is divided by 32.
26
Suppose -26*q = -61*q + 24*q + 880. Calculate the remainder when 723 is divided by q.
3
Let s = -390 - -394. Suppose -3*u + 5*u = -4*b + 282, -b = -s*u - 57. What is the remainder when 274 is divided by b?
67
Suppose 14 = m + 4. Suppose -m = 2*b - 36. Suppose n - b - 17 = 0. What is the remainder when 88 is divided by n?
28
Suppose 2*p + 2*p = 300. Let t = -70 + p. Suppose -8*v + t*v = 2*h - 72, -2*v = 2*h - 46. What is the remainder when v is divided by 9?
8
Let a = 82 - 71. Let m(z) = z**3 - 7*z**2 - 5*z - 4. Calculate the remainder when m(8) is divided by a.
9
Calculate the remainder when (-716)/(-2)*(-2820)/(-120) is divided by 8.
5
Let i(h) = 48*h - 189. Let m be i(10). Suppose 0 = -4*u - 5*t + m, 0*t + 4*t = 3*u - 257. What is the remainder when u is divided by 21?
16
Let d(o) = -5*o + 38. Let v be d(5). Let r(q) = q**2 - 17*q + 104. Calculate the remainder when 304 is divided by r(v).
44
Let m(n) = -4*n + 4*n**2 + 5 + 6*n + 9*n**3 - 8*n**3. Let h(i) = i**3 + 6*i**2 - 5*i - 7. Calculate the remainder when h(-4) is divided by m(-3).
5
What is the remainder when 100 is divided by 6/4 - ((-14882)/196 + 8/(-14))?
22
Suppose -48 - 3 = -l + 3*m, 0 = 3*l + m - 203. Let t = l - 43. Calculate the remainder when (1*15)/(6 - (-210)/(-36)) is divided by t.
21
Let g(i) = 27*i**2 - i - 3. Let l be g(-3). Suppose l*a + 130 = 253*a. What is the remainder when 154/(-1 + 2 + 1) is divided by a?
12
Suppose 238 - 78 = -8*d. What is the remainder when 79 is divided by 1 - (d/(-5))/((-6)/27)?
3
Suppose -59 + 2231 = 6*j. Suppose -6*i = -8*i + j. What is the remainder when i is divided by 23?
20
Let b(u) = -u**2 - 6*u + 4. Let n be b(-6). Suppose n*c = 25 - 17. What is the remainder when 38 is divided by 2*(c - (-1 + -1))?
6
Let y be ((-4)/(-10))/((-2)/(-20)). Suppose f + y = -3*f. Calculate the remainder when (-21)/6*(-19 - f) is divided by 16.
15
Suppose 0 = -11*z - 161 + 894 + 169. Calculate the remainder when 179 is divided by z.
15
Let f be (-76)/(-5) - (114/(-30) - -4). Suppose f*h - 11*h = 5*u + 152, -38 = -h + 4*u. Calculate the remainder when h is divided by 17.
4
Suppose 3*z - 17 = -2. Let p(b) = 3*b**3 + 4*b**2 + 57*b - 124. Calculate the remainder when p(2) is divided by z.
0
Let j(d) = 21*d + 195. Let s be j(-9). Let h(m) = -m**3 + 5*m**2 - 4*m + 69. What is the remainder when 10 is divided by h(s)?
1
Let i(g) = g**3 - 78*g**2 + 577*g + 109. Calculate the remainder when i(70) is divided by 130.
129
Suppose 3*w + 2*w - 28 = 2*r, 8 = -2*w - 4*r. Let d(a) = -a**3 + 2*a + 2. Let k be d(0). S