 - 6. Suppose -3*p + 10*p - 91 = 0. Suppose 0 = -z + 1 + p. Calculate the remainder when s is divided by z.
13
Let a(r) = 100*r**2 - r. Suppose -30849*c + 31371*c - 205668 = 0. What is the remainder when c is divided by a(1)?
97
Let o(b) = b**3 + 10*b**2 - 4*b - 13. Suppose -3*j - 4*v + 69 = 414, j - 4*v = -131. Let i = j - -127. Calculate the remainder when o(-10) is divided by i.
3
Suppose -30*c + 10031 + 8989 = 0. What is the remainder when c is divided by 80?
74
Let j = 7 - -22. Suppose -h = 40 - 48. What is the remainder when j is divided by h?
5
Let z(p) = -p**3 - 2*p**2 + 11*p + 8. Let q be z(-5). Let n = q + -12. Calculate the remainder when ((n + 4)/1)/2 is divided by 2.
0
Let t = 6649 - 5961. Calculate the remainder when t is divided by 21.
16
Let s be (-10)/65 + (-472)/(-26) + -1. What is the remainder when 646 is divided by 1834/s + 13/((-1547)/(-14))?
106
What is the remainder when 1071 is divided by 105/6*(15 + 8/(-5) + 1)?
63
Suppose -5*b + 33 = 2*h, 3*b - 7 = -2*h + 32. Let z = h + 154. Calculate the remainder when z is divided by 40/((-4)/(-2))*(-3)/(-2).
28
Let m(y) = 280*y**2 + y - 1. Let f be m(1). What is the remainder when 4/14 + 44440/f is divided by 18?
15
What is the remainder when 411 is divided by 1*((-3)/6 - 70/(-20))?
0
Let f = -1331 + 1395. Calculate the remainder when 116 is divided by f.
52
What is the remainder when 628 is divided by (-102)/((32/(-8))/12)?
16
Calculate the remainder when ((-24)/(-9))/(600/(-108) + 6)*62 is divided by 19.
11
Let q(j) = j**2 - 29*j + 65. Let n be q(28). Let l(i) = 5*i - 165. What is the remainder when 159 is divided by l(n)?
19
Let v = -4284 - -4493. Calculate the remainder when v is divided by (-4)/18 - 1507/(-99).
14
Let o(i) = 3*i**2 - 2*i - 4. Suppose 1690 = q - 8*q + 17*q. Calculate the remainder when q is divided by o(3).
16
Let a(m) = 14*m**3 + 8*m**2 + 2*m. Let i be -5 - (-1)/(3 + -4). Let g be a(i). Calculate the remainder when ((-2)/4)/((-3)/g*-2) is divided by 33.
31
Let u(r) = -r**2 + 15*r + 26. Let j be u(-13). Let w = j + 554. Calculate the remainder when w is divided by 56.
48
Suppose 0 = 5*p - 31*o + 35*o - 43, 32 = 4*p + 4*o. What is the remainder when p is divided by 7/(-3)*(-3 + 0)?
4
Let u be (-4)/(-22) + 1590/(-33). Let d = u + 64. Suppose -4*h = 5*l - 217, 2*h - l = 92 + 27. Calculate the remainder when h is divided by d.
10
Let g be (-2775)/(-35) + (-2)/7. What is the remainder when g*(4 + (-5 - -2)) is divided by 1 - (-579)/39 - 10/(-65)?
15
Let o = -23240 + 23341. What is the remainder when 1105 is divided by o?
95
Let a(q) = q**3 + 11*q**2 + 26*q + 10. Let j(i) = i + 3. Let b be j(-11). Let s be a(b). Calculate the remainder when (-92 + 7)*s/15 is divided by 19.
15
Let n = -285 - -454. Suppose -w = 4*j + n - 436, 2 = j. Calculate the remainder when w is divided by 13.
12
Let v(h) = h**2 - h + 24. Suppose 0 = 2*a + 10, 4*s = 2*s - 5*a - 15. What is the remainder when v(s) is divided by 12?
8
Suppose 0 = 4*w - 5*t - 229, -225 = -48*w + 44*w + t. What is the remainder when 134 is divided by w?
22
Let j = -48 + 51. Suppose -4*b + 158 = j*i - 5*b, 5*i - 260 = b. What is the remainder when 253 is divided by i?
49
Let y = -608 - -772. Suppose 0 = y*f - 167*f + 150. What is the remainder when 299 is divided by f?
49
Let l be (3/15 - 0)/((-1)/(-25)). What is the remainder when 33 is divided by (25/l)/(3*(-4)/(-48))?
13
Suppose 589 + 1347 = 11*z. Let i(u) = 19*u - 172. Calculate the remainder when z is divided by i(12).
8
Let b = 1252 - 1225. Let n(g) = 2*g**3 + 2*g**2 + 4*g - 4. Let j be 11/4 - (-2)/8. What is the remainder when n(j) is divided by b?
26
Let r(q) = -39*q + 132. Suppose 5*o - 3*l + 4*l = 17, -o - 2*l + 7 = 0. Let w = -15 - -59. Calculate the remainder when w is divided by r(o).
14
Suppose -1145 = -17*k + 487 + 1564. Calculate the remainder when k is divided by 180.
8
Suppose -30*r = -13*r - 8517. Calculate the remainder when r is divided by 64.
53
Let q(z) = 5*z + 169. Let k be q(-7). Let v = k + -68. What is the remainder when v is divided by 20?
6
Let g(f) = -68*f + 3. What is the remainder when g(-3) is divided by 280/(-504)*954/(-10)?
48
Suppose 5*g - 209 = -4*w, -2*w - 7*g = -6*g - 103. Let l be (24/5)/(48/3040). What is the remainder when 4/12*(l + -7) is divided by w?
48
Suppose -169*d + 116*d + 20882 = 0. Calculate the remainder when 397 is divided by d.
3
Let t(r) = 17*r**2 - r. Let x = -3 + 4. Let n(q) = 184*q + 612. What is the remainder when n(-3) is divided by t(x)?
12
Let d(v) = -31 + 29*v + 7 - 18 - 33*v + 7. Calculate the remainder when 62 is divided by d(-12).
10
Let r = -3395 - -4074. What is the remainder when r is divided by 22?
19
Let u(a) = 81*a + 1010. What is the remainder when u(-11) is divided by 63?
56
Let g = 2023 - 1595. Calculate the remainder when g is divided by 16.
12
Let b(s) = -s**3 - 29*s**2 - 108*s - 189. Calculate the remainder when 7039 is divided by b(-25).
10
Let p(i) = 59*i + 10. What is the remainder when p(1) is divided by 7?
6
Suppose 7*a + 810 = -653. Let g = 248 + a. Suppose -2*d - 294 = -6*d + 2*b, 5 = 5*b. What is the remainder when d is divided by g?
35
Suppose 0*f - 5*l = 5*f - 25, 2*f - 2*l = 10. Suppose -g = 3 - f. Suppose -5*m + c = -65, -c + 49 = g*m - 6*c. Calculate the remainder when 45 is divided by m.
9
Let q(v) = -6*v**2 + 13*v + 38. Let x(p) = -p**2. Let n(h) = -q(h) + x(h). What is the remainder when n(-3) is divided by (-11)/(-1) - 2/2?
6
Let n(a) = 29*a - 672. Suppose 4*f + 2*y - 7 - 1 = 0, -2*f + y = 0. Let d = f - -12. What is the remainder when n(24) is divided by d?
11
Let p = -9231 - -10076. Calculate the remainder when p is divided by 79.
55
Let f = 803 + -710. Suppose 0*k + k - 288 = -4*m, -2*m - 4*k + 130 = 0. What is the remainder when f is divided by m?
20
Suppose 144 = -5*c - 2*j + 39, 0 = -3*j. What is the remainder when (0 - (-60)/c)/((-4)/56) is divided by (-77)/(-5) - (-4)/(-10)?
10
Calculate the remainder when (-1)/4*-6*(9 + 2317/21) is divided by 74.
31
Suppose -2*f = -2*b + 1798, 2*b + 3*f - 2582 = -769. What is the remainder when b is divided by (14/(-4))/(140/168 - 1)?
20
Suppose 25475 = 369*f - 344*f. Calculate the remainder when f is divided by 218.
147
Suppose -5*x = -j - 84, -2*x - 5*j + 95 = 29. Calculate the remainder when 106 is divided by x.
16
Let x(o) be the first derivative of -1/4*o**4 + 13 + 5/2*o**2 - 4/3*o**3 - 2*o. Calculate the remainder when x(-6) is divided by 25.
15
Let j(v) = -3*v**3 - 3*v - 7. Let s be j(4). What is the remainder when 774/(-344)*(1 + s/3) is divided by 27?
21
Suppose 0*t - 4*t = -16. Suppose -z + 3 + 12 = -t*b, -3*b = 3*z. Calculate the remainder when 74 is divided by -3*(-22)/3 + b.
17
What is the remainder when (27711/(-21))/((-60)/280) is divided by 80?
78
Suppose 4*v + 31*d = 33*d + 210, 3*d = 4*v - 215. Calculate the remainder when 1047 is divided by v.
47
Let g(n) = -n**3 - 15*n**2 + 31*n - 4. Let b be g(-16). Let p = b + 261. What is the remainder when 58 is divided by p?
7
Suppose -193*d = -142*d - 459. Calculate the remainder when 926 is divided by d.
8
Let c(d) = 17*d + 3*d**2 - 3*d**2 + d**2 + 0*d**2 + 21. What is the remainder when c(-20) is divided by 28?
25
Suppose -5*j - 5*l = -290, 15*l - 292 = -5*j + 12*l. What is the remainder when 305 is divided by j?
10
Suppose -267 = -2*i + 157. Let p = -198 + i. Calculate the remainder when 20 is divided by p.
6
What is the remainder when 2225 is divided by (19 - 16) + 696/14 + 8/28?
52
Let c(b) = 6*b - 26. Let w(g) = 7*g - 28. Let z(u) = -4*c(u) + 3*w(u). Calculate the remainder when 428 is divided by z(3).
10
Let d = 178 + -51. Let y be 1 + (-9)/3 + 260. Suppose 4*b + y = 10*b. Calculate the remainder when d is divided by b.
41
What is the remainder when 1843 is divided by (142/10)/(50/500)?
139
Let n(l) = 21*l - 5. Let v be n(-9). Let g = v + 197. Suppose -3*c = c - 44. What is the remainder when c is divided by g?
2
Let c(a) = a**2 + 6*a + 18. Let i be c(-6). Suppose -101 + 695 = i*o. Calculate the remainder when 193 is divided by o.
28
Suppose 0*i - 2*i + 4 = 3*m, 5*i = 4*m + 10. Suppose -3*v + 8*v + 5*q = -40, 2*v = i*q - 20. Let r = v + 72. Calculate the remainder when r is divided by 13.
11
Suppose 4*g = -0*g - 2*a - 2, -3*g - 9 = 3*a. Suppose -g*y + 0*y = -38