29.
15
Let z(q) = 2*q**3 - 17*q**2 + 48*q + 11. Calculate the remainder when 983 is divided by z(4).
39
Suppose -227*v + 13831 = -2286. What is the remainder when 507 is divided by v?
10
Let u = 84 + 58. Suppose 140 + u = 6*n. Calculate the remainder when n is divided by 31.
16
Suppose 274*q - 10057 = 109414 + 16159. What is the remainder when q is divided by 84?
75
Let f be 2/(-10) + 22/10. Suppose -x + 4*x + 3*q = 48, -f*x = -2*q - 40. Let u = 248 - 216. What is the remainder when u is divided by x?
14
Let j be 27/5 - (-12)/(-30). Suppose -3*f = f + l - 58, -f - 5*l = -j. What is the remainder when (-36)/12*(-236)/12 is divided by f?
14
Let r = 2047 - 1655. What is the remainder when r is divided by 22?
18
Suppose 81*m - 1981 + 1101 - 1712 = 0. Calculate the remainder when 521 is divided by m.
9
Let o(j) = 2*j**2 + 181*j - 1111. Calculate the remainder when 1267 is divided by o(6).
45
Let y = -8132 - -8487. What is the remainder when y is divided by 48?
19
Suppose 13 = 4*w - 3*f - 19, -2*w + 2 = 2*f. Suppose -3*x + 774 = w*p + 38, 2*p - 5*x = 313. What is the remainder when p is divided by 68?
13
Let i(f) = f**3 + 27*f**2 + 98*f - 55. Calculate the remainder when 3723 is divided by i(-5).
3
Let b = 23417 - 23404. Calculate the remainder when (1*-2)/(6/(-339)) is divided by b.
9
Let w(f) = f**3 + 18*f**2 + 15*f - 6. Let o(v) = 4*v - 248. What is the remainder when o(79) is divided by w(-17)?
12
Let y be -5 - (-203)/(-5 - -12). Suppose -724 = -y*s + 356. What is the remainder when 127 is divided by s?
37
Suppose -10*k = -c - 9*k + 110, -430 = -4*c - k. Calculate the remainder when 211 is divided by c.
103
Let o(q) = 4*q - 21. Suppose 56 = 3*l - 5*j, -4*l = -3*l + 2*j - 4. What is the remainder when l is divided by o(7)?
5
Let x be ((-72)/252)/((-2)/(-14)). Calculate the remainder when x/1*46*8/(-32) is divided by 10.
3
Let u = -66 + 285. Let n = -189 + u. Calculate the remainder when n is divided by 3.
0
Let i(n) = 4*n**3 + 30*n**2 - 13*n + 25. Calculate the remainder when i(-7) is divided by 34.
10
Suppose n = 3*k + 5, 2*n + 57 = 5*n + 5*k. Suppose 0 = n*x - 4*x - 2420. What is the remainder when x is divided by 61?
59
Let i(t) = -t**3 + 12*t**2 - 34*t + 184. Calculate the remainder when 913 is divided by i(10).
33
Suppose -71 = 3*s + 22. Let k = 35 + s. Suppose -3*n - k*t = -127, t = -4*n - t + 156. Calculate the remainder when 256 is divided by n.
34
Suppose 0 = 593*z - 573*z - 8100. What is the remainder when z is divided by 213?
192
Let n(o) = 2*o**2. Calculate the remainder when 2373/9 - (-30)/(-315)*7 - -6 is divided by n(2).
5
Suppose -32*q + 86 = -1130. What is the remainder when 376 is divided by q?
34
Calculate the remainder when 1269 is divided by 7/35 + (10 + 37)/((-5)/(-2)).
15
Calculate the remainder when 8855 is divided by 20*(-7 + 6)*(-450)/125.
71
Let k = 77 - 74. Suppose -k*p + 6 = -9, 0 = -2*v + p + 37. Let s(t) = -17*t + 9. What is the remainder when s(-4) is divided by v?
14
Let c(a) be the third derivative of a**6/120 + 3*a**5/10 - a**4/8 - 8*a**3 + 32*a**2. Calculate the remainder when 38 is divided by c(-18).
2
Let n(v) = -2*v**2 - 52*v - 130. Let o(k) = k**3 + 17*k**2 - 22*k - 95. Let q be o(-18). Calculate the remainder when 118 is divided by n(q).
6
Let r be 4/14 - ((-122)/14 + 1). Suppose t - r = 16. Suppose -o = 3*o - t. Calculate the remainder when 19 is divided by o.
1
Suppose 2964 + 971 = 6*h + 1133. Calculate the remainder when h is divided by 44.
27
Suppose 2*o - 830 - 453 = -3*b, -4*o = 8. Calculate the remainder when b is divided by 57.
30
Let c(r) = -4*r - 20. Let h(a) = 4*a + 17. Let z(t) = 4*c(t) + 5*h(t). What is the remainder when z(13) is divided by (20*1)/((-4)/(-6))?
27
Suppose 9835834 - 1179048 = 288*f - 3451022. Calculate the remainder when f is divided by 49.
48
Let n(x) = -3*x - 25 - 2*x - x + 2*x. Let l be n(-7). Suppose -3*d + 6 = l*d. What is the remainder when 1 is divided by d?
0
Suppose -83*x + 87*x - 612 = 0. Calculate the remainder when x is divided by 39.
36
Let s(h) = -87*h - 2421. What is the remainder when s(-35) is divided by 18?
12
Let f(j) = j**3 + 6*j**2 - 8*j - 5. Let t be f(-7). Suppose 66 = t*y - 0*y. Calculate the remainder when (-1)/(2/(-52)*-6)*-15 is divided by y.
32
Suppose -r + 33 = 275*a - 278*a, 4*a = r - 44. Let d(w) = -14 - w**3 + 3*w**2 - 15*w**2 - 6*w - 7*w. What is the remainder when 11 is divided by d(a)?
3
Let l = 31254 - 29789. What is the remainder when l is divided by 191?
128
Calculate the remainder when -604*((-8)/24)/((-32)/(-72)) is divided by 216.
21
Suppose 8800 - 3223 = -13*n. Let z(f) = 2*f**2 - 3*f + 1. Let a be z(2). Calculate the remainder when (-2)/(-4) + (n/(-2))/a is divided by 37.
35
Let s = 93 - -39. Let a = s - 121. What is the remainder when (-595)/(-28) + (-1)/4 is divided by a?
10
Let i(h) be the first derivative of -h**2 - 28*h + 2. Let l be i(-10). Calculate the remainder when 37 is divided by (-3 - 52/l)*4.
9
Let l(z) = 3*z**2 + 59*z + 120. Calculate the remainder when 14362 is divided by l(-2).
12
Suppose 2070 = -10*m - 8*m. Let c = -131 - m. What is the remainder when 9 is divided by -3 - (c/136 - (-268)/(-34))?
4
Let h(n) be the first derivative of n**4/4 + 7*n**3/3 - 3*n**2/2 + 19*n + 7. Suppose -3*f + 7*f = 100. Calculate the remainder when h(-6) is divided by f.
23
Calculate the remainder when ((-14)/(-4) + (-84)/(-14) + -9)*1924 is divided by 269.
155
Let v = 5313 + -4775. What is the remainder when v is divided by 48?
10
Let q be 2*(4 - (-3)/6). Suppose 7*w - q*w + 18 = 0. Suppose -181*o + 25 = -180*o. What is the remainder when o is divided by w?
7
Let j(s) = s**3 + 8*s**2 + 15*s + 9. Let k be j(-6). What is the remainder when ((-10)/(-15))/(3/k)*-24 is divided by 13?
9
Let w = -10773 - -10973. Suppose 0 = -5*h - 2*p + 77, -80 = -4*h + 3*p - 0*p. What is the remainder when w is divided by h?
13
Suppose 0 = -149*a + 1598 + 339. Calculate the remainder when 2010 is divided by a.
8
Suppose 0 = -2*p + 4*w + 332, 0 = 3*p + 2*w - 4*w - 494. Let f = -37 - -71. Calculate the remainder when p is divided by f.
28
Let p(m) = -20*m - 1703. What is the remainder when 1647 is divided by p(-90)?
95
Let h be (-70)/(-105) + 50/6 + 1. Let b(o) = h + 24*o + 11*o**2 - 3*o**2 - 7*o**2. What is the remainder when b(-26) is divided by 21?
20
Let j(d) = d**3 + 7*d**2 + 8*d - 8. Suppose 0 = -48*z + 50*z - 54. Calculate the remainder when z is divided by j(-4).
3
Let v = -199 + 295. Suppose -v = -2*b - b. Calculate the remainder when b is divided by ((-2)/3)/((-2)/33).
10
Let x(o) = 377*o - 1009. Calculate the remainder when x(5) is divided by 32.
12
Suppose -d = 4*d + 5*b - 520, d + 5*b = 92. What is the remainder when d is divided by 3*6/(-27) + 128/12?
7
Calculate the remainder when (-22 - 910/(-39))*(-18)/8 - -667 is divided by 173.
145
Let w(a) = a - 7. Let k be w(4). Let i(s) = -406 - 407 - 2*s**2 + 815 - 9*s. What is the remainder when 40 is divided by i(k)?
7
Suppose -7*y + 5*y - 3*m - 388 = 0, 398 = -2*y + 2*m. Let g = -151 - y. What is the remainder when g is divided by 25?
21
Suppose f + 5*a = 7*a + 19, -3*a = -5*f + 67. Suppose -942 - 521 = -f*m. Calculate the remainder when m is divided by 34.
31
Let n(m) = -m**3 - 62*m**2 - 227*m + 307. What is the remainder when 592 is divided by n(-58)?
14
Calculate the remainder when (-27)/15 - (-16790)/50 is divided by 4.
2
Let n be (2/(-1))/((-4)/48*8). Let o(a) = 21*a + 33. What is the remainder when o(n) is divided by 21?
12
Suppose 2*s - 78 = -0*s. Let h(g) = -62*g - 140. Let q be h(14). Let l = q - -1018. Calculate the remainder when s is divided by l.
9
Let w(t) = 3*t**2 + 9*t + 13. Calculate the remainder when 107 is divided by w(-5).
21
Let q = -410 - -433. Suppose -27 = -2*o + 28*t - q*t, 4*o - t - 27 = 0. What is the remainder when 189 is divided by o?
3
Let h(r) = -249*r**3 - 3*r + 4*r**2 - 2*r**2 + 4*r - 9 + 250*r**3. What is the remainder when h(5) is divided by 45?
36
Let j = 39031 - 34547. What is the remainder when j is divided by 66?
62
Let d(u) = u**3 + 21*u**2 - 2*u + 26. Let m = -145 + 276. Calculate the remainder when m is divided by d(-21).
63
Let k = -3132 + 3154. Calculate the remainder when 215 is divided by k.
17
Suppose -12 = -4*u + 156. Suppose -t + 2*f = -7, -2*t + 7 +