 v?
96
Let x(c) be the third derivative of -c**6/120 + 17*c**5/60 + 5*c**4/12 + 28*c**3/3 - 21*c**2. What is the remainder when x(17) is divided by 58?
52
Let m(s) = s**3 + s**2 + s - 1. Let g(c) = -3*c**3 + 8*c**2 - 7*c - 16. Let u(k) = g(k) + 2*m(k). What is the remainder when u(8) is divided by 18?
16
Let o be (72/15)/((-8)/(-100)). Let c = 190 - o. What is the remainder when c is divided by 22?
20
Let k = -3310 - -3368. What is the remainder when 279 is divided by k?
47
Let k = -34 - -59. Let r = 8514 + -8503. What is the remainder when k is divided by r?
3
Let v(z) = z**3 + z + 38. Suppose -4*u = 14 - 14. Let t = -26 - -40. What is the remainder when v(u) is divided by t?
10
Let d(s) = 31*s - 52. Let f = -644 + 653. What is the remainder when d(f) is divided by 4?
3
Let f(s) = -2*s + 27. Let m be 4*(-4)/(-8)*3. Suppose -24 = -3*r + m*r. Calculate the remainder when 171 is divided by f(r).
42
Let r = -394 + 400. Suppose -4*x = 20, r*x + 3011 = 4*q + 3*x. What is the remainder when q is divided by 50?
49
Suppose 22 = 4*b + 3*u, -10 = 2*u + 3*u. Suppose 774 = 7*v + 305. Suppose -v + 81 = 2*m. Calculate the remainder when m is divided by b.
0
Let f(w) = -w**3 + 11*w**2 + 8*w + 8. Let k(z) = z**2 - 4*z - 10. Let j be k(-4). Suppose 9*q = 7*q + j. What is the remainder when f(q) is divided by 33?
30
Let m(j) = 2*j + 45. Let d be m(0). Suppose 4*f - 47 = -t, -2*f - t + 60 = 3*f. What is the remainder when 508/6 + 105/d is divided by f?
9
Suppose 0 = 367*l + 171*l - 144184. What is the remainder when l is divided by (46 + 1)*1 - 2?
43
Let r = 8 + 1. Let p(n) be the first derivative of -13*n**2/2 + 6*n - 16. What is the remainder when p(-2) is divided by r?
5
Let o(n) = 28*n + 279. Let g(s) = -17*s - 28. What is the remainder when o(0) is divided by g(-2)?
3
Let p be ((-72)/90)/((-2)/55). Calculate the remainder when 429/p*32/3 is divided by 14.
12
Suppose 165 = 37*h - 205. Let n(u) = -u**2 + 22*u - 24. What is the remainder when n(h) is divided by 54?
42
Suppose j + 3*n - 16 = 0, 0 = -0*j + 2*j - 2*n + 8. Calculate the remainder when 62 is divided by (841/87)/(j/(-1 + 7)).
4
What is the remainder when 548 is divided by (-12)/9*(11 + 970/(-20))?
48
Suppose 2*p = 4*p - 310. Let v = p + -80. Calculate the remainder when v is divided by ((-1)/(-2 + 1))/((-20)/(-460)).
6
Let k(c) = -14*c - 3. Let b be k(-2). Let q = -1 + b. Suppose 2*t - 95 = 91. What is the remainder when t is divided by q?
21
Suppose 121 = 4*f - 2*f - 99. Calculate the remainder when f is divided by 53.
4
Let n be 1/2*(2 - -4). Suppose -9*d + 5*c = -11*d + 83, -n*c - 161 = -5*d. What is the remainder when d is divided by 18?
16
What is the remainder when 543 - (-2)/((-22)/(-110) + (-34)/70) is divided by 163?
47
Suppose -17*z + 15*z + 1760 = 0. Let w = -5 + 9. Calculate the remainder when w/18 + z/9 is divided by 34.
30
Let w(a) = -639*a - 33146. Let r = 43 + 45. What is the remainder when r is divided by w(-52)?
6
Suppose -72 + 52 = -4*d. Suppose 0 = p - 5*p + 20. Calculate the remainder when (-110)/(-20) - d - 134/(-4) is divided by p.
4
Suppose -7512 = -3*s + 3*q, 2*s - 5*q - 1435 = 3591. What is the remainder when s is divided by 49?
48
Let r be 32/2 - (-2)/(-1). Suppose 1472 = 9*p + r*p. Calculate the remainder when p is divided by 35.
29
Suppose 0 = -121*b + 86869 + 12472. Calculate the remainder when b is divided by 165.
161
Suppose 0*z - 4 = -2*z. Let h(g) = -2*g - 14. What is the remainder when (-6)/(z - 5) - -45 is divided by h(-15)?
15
Let p(n) = -7*n + 83. Let h(i) = -115*i + 2. Calculate the remainder when h(-1) is divided by p(8).
9
Suppose -1337 - 259 = -485*p + 466*p. Calculate the remainder when 127 is divided by p.
43
Let z = 3972 - 2125. Calculate the remainder when z is divided by 44.
43
Calculate the remainder when 370 is divided by (-1317)/(-27) - 10/(-45).
27
Suppose -42*l + 19666 = 6184. Calculate the remainder when l is divided by 56.
41
Let z = -81 + 81. Suppose 3*g + z*g = 27. Suppose -5*h + 65 = 5*m, -4*m - g = 11. What is the remainder when 66 is divided by h?
12
What is the remainder when (-7)/((-105)/(-6)) + (-170357)/(-55) is divided by 20?
17
Let x(f) be the first derivative of -f**4/4 - 3*f**3 - 9*f**2 + 17*f + 12. Calculate the remainder when x(-8) is divided by 35.
27
Let b(h) = -2*h**3 + 15*h**2 - h + 8. Let l be b(8). Let k = -57 - l. Calculate the remainder when 277 is divided by k.
4
Let v be (104/65)/((-12)/1990)*-3. Let t = v + -675. Calculate the remainder when t is divided by 34.
19
Let z be (-24)/(13/(65/10)). Calculate the remainder when (((-8)/z)/2)/((-6)/(-4644)) is divided by 65.
63
Let q = 6 + -1. Let m be (101/(-2) + 6)*4. Let p = m - -184. Calculate the remainder when p is divided by q.
1
Suppose c + 3*c - 12 = 0. Let m be (2/(-4))/((-17)/306). What is the remainder when 3/m*22 + (-6)/(-9) is divided by c?
2
Suppose r + 3564 = 19*r. Calculate the remainder when 788 is divided by r.
194
Suppose -100*t = -86*t - 6972. What is the remainder when t is divided by 20?
18
Suppose -8*i + 5*i = 20*i - 782. Calculate the remainder when 181 is divided by i.
11
Let l(v) = 78*v - 379. Calculate the remainder when 4850 is divided by l(5).
10
Let p(b) = b**2 + 9*b + 8. Let m be p(-8). Let y = m + 21. Let h = -3 + y. What is the remainder when 23 is divided by h?
5
Suppose -288*h + 33269 = -24*h - 8443. What is the remainder when h is divided by (7 - -1)/((-4)/(-10))?
18
Suppose 103 - 31 = 6*q. Let k = 3 - -6. Calculate the remainder when (-28)/(-6)*k/2 is divided by q.
9
Let g(w) = -10*w - 189. What is the remainder when 292 is divided by g(-23)?
5
Let f = 18036 + -17852. Calculate the remainder when 907 is divided by f.
171
Suppose 7*n - 21 = 10*n + 3*v, -2*v - 18 = 3*n. Let l = n + 24. What is the remainder when l is divided by 7?
6
Suppose 5*s + 404 = 99. Let t = 148 + s. Calculate the remainder when 172 is divided by t.
85
Let l be (36/30)/((-9)/780). Let y = 125 + l. Suppose 5*k - 6 - 54 = 0. What is the remainder when y is divided by k?
9
Let x = -24579 - -24581. Calculate the remainder when 49 is divided by x.
1
Suppose 0 = -72*q + 41*q + 12989. Calculate the remainder when q is divided by 62.
47
Calculate the remainder when (12/((-108)/795) - 9)*3/(-4) is divided by (6/9)/((-4)/(-222)).
36
Let h(p) = p + 10. Let t be h(-10). Let v be -2*(-3 - -2)*2. Suppose t = -r + v*r - 189. Calculate the remainder when r is divided by 13.
11
Suppose 0 = -18*b + 299 + 150 - 89. Calculate the remainder when 271 is divided by b.
11
Let n(t) = 2*t**3 + 22*t**2 + 23*t + 27. Let g be n(-10). Calculate the remainder when 86 is divided by ((-264)/(-42))/(g/(-21)).
42
Suppose n + i = 22, 0 = -5*n + i - 3*i + 110. Let w be n/(-8) + 3/4. What is the remainder when 113 + (w - -2 - -4) is divided by 24?
21
Suppose d - z - 15 = 2*z, z - 43 = -5*d. Let l = -13910 + 13970. What is the remainder when l is divided by d?
6
Let v = -1164 - -1361. What is the remainder when 964 is divided by v?
176
Suppose -11*j - 3*j + 5208 = 0. Suppose 669*w - j = 663*w. Calculate the remainder when w is divided by 20.
2
Suppose 0 = -3*m + 4*b + 25, -b + 2*b + 7 = m. Let y = -16782 + 16804. What is the remainder when 63 - (2 - m) - 1 is divided by y?
19
Let b = 1031 - 794. Let j = b - 205. What is the remainder when 203 is divided by j?
11
Let h be (6/5)/(4/10). Suppose -5 = 4*f + h, 36 = 2*n + 2*f. Let t = 456 - 399. What is the remainder when t is divided by n?
17
Let n be 34/((-4)/36*-6). Let o = n - -16. Let b(p) = p**3 - 3*p**2 + 3*p - 5. Calculate the remainder when o is divided by b(4).
21
Suppose 16*i - 38286 = -3198. What is the remainder when i is divided by 122?
119
Let g(o) = 110*o + 1613. Calculate the remainder when 554 is divided by g(-13).
5
Suppose 3*j - j = 3*l + 16, 3*j = -5*l + 5. Calculate the remainder when (-405)/(-54)*(-4)/l is divided by 11.
4
Let f = -1760 + 1228. Let c = f + 607. What is the remainder when 749 is divided by c?
74
Let y = 65 + -68. Let p(s) = 9*s**2 + 6*s + 29. Let k(u) = -4*u**2 - 3*u - 15. Let f(v) = 7*k(v) + 4*p(v). What is the remainder when f(y) is divided by 26?
22
Let l = 159739 + -159702. What is the remainder when (-1)/(1/182*-2) is divided by l?
17
Suppose 285 = -5*k - 3*o + 3831, 0 = -5*o - 15. Calculate the remainder when k is d