. Calculate the remainder when h(f) is divided by b.
1
Let b(j) = -12*j**3 + 6*j**2 - 5*j - 5. Let f be b(2). Let r = f + 307. What is the remainder when r is divided by 57?
49
Suppose -26*h + 67*h - 27552 = 0. What is the remainder when h is divided by 169?
165
Suppose -8*h + 3*h + 60 = 0. Let q = -53 + 55. Let p(a) = 3*a**3 - 5*a**2 + 10*a - 2. What is the remainder when p(q) is divided by h?
10
Suppose 6*p - 9 = 3*p. Suppose p*j + 0 = 3, -5*h = -2*j - 203. Suppose 89 + h = 5*t. Calculate the remainder when t is divided by 6.
2
Suppose o + 3*t - 2 = 0, 2*o - t - 8 = -2*o. Calculate the remainder when o/(-3) - 7130/(-30) is divided by 16.
13
Let i(d) = -4 - 13 - d - 1 + 10. Let u be i(-6). Let w = u - -9. Calculate the remainder when 10 is divided by w.
3
Suppose 3*y = -3*u + 240, -2*y + u = -127 - 24. What is the remainder when 104 is divided by y?
27
Suppose 186*y - 3645 = 10207 + 2888. What is the remainder when 336 is divided by y?
66
Let c be (((-150)/(-4))/5)/((-3)/(-4)). Suppose 11*w = -c*w + 3906. What is the remainder when w is divided by 35?
11
Let u = 36084 + -31197. What is the remainder when u is divided by 30?
27
What is the remainder when 2155 is divided by (-27580)/(-230) - 12/(-138)?
115
Let m = -4684 - -4690. Let i = 3 - 2. Calculate the remainder when m is divided by i/2*24/6.
0
Suppose -m + 287 = -11*l + 15*l, 385 = 5*l - 4*m. What is the remainder when 2849 is divided by l?
2
Let n(i) = -2*i**3 + 17*i**2 + 8*i + 12. Suppose 43*j = 39*j + 36. Let v be n(j). Calculate the remainder when (-50)/(-3 + -2) - v is divided by 5.
2
What is the remainder when 1268 is divided by -4 - (-618)/51 - (-56)/(-476)?
4
Suppose -x + 3*u + 7 = -0*u, 5*x - 2*u = 87. Let l(d) = -d**2 + 19*d + 45. Let c = -39 - -62. What is the remainder when l(x) is divided by c?
22
Let o = 6 + -2. Let w be (-1028)/(-16) + (-35)/28. Suppose 8*u - w = 9. Calculate the remainder when u is divided by o.
1
Let n = 42 - -44. Let x be ((-3816)/(-108))/(2/9) + 3. Suppose 34*p = 43*p - x. What is the remainder when n is divided by p?
14
Suppose 488229 = 17*n + 488042. Suppose 43 = 5*m - 17. What is the remainder when m is divided by n?
1
Suppose 37 = 5*d - 3*n, 2*d - 4*n = -0*n + 26. Suppose -9*i + 4*i - 1610 = -d*a, a - 322 = -5*i. What is the remainder when a is divided by 36?
34
Let i(m) = 3*m**2 - 262*m + 349. Calculate the remainder when (-3510)/(-63) - (-2)/7 is divided by i(86).
1
Suppose 10*p - 4*p - 60 = 0. Suppose -11*c + p*c = 3. Let b(m) = -m**3 - 2*m**2 + m + 1. What is the remainder when 14 is divided by b(c)?
0
Let z(s) = -s**3 + 7*s**2 + s + 12. Let y be z(6). Suppose 0*g - y = -3*g. Let v = g + -1. Calculate the remainder when 50 is divided by v.
16
Let c = 26583 - 26570. Calculate the remainder when 2571 is divided by c.
10
Let f = 3398 + -3200. Calculate the remainder when 202 is divided by f.
4
Suppose -3000 = -63*u + 53*u. What is the remainder when u is divided by 17?
11
What is the remainder when 5 - (-4 - (-120 + 7)*-13) is divided by 313?
226
Suppose -165*k + 173*k = 904. Let y = -120 - -143. What is the remainder when k is divided by y?
21
Suppose 4*p = 14*p - 150. Suppose p + 87 = o. What is the remainder when o is divided by 23?
10
Suppose 124*q - 1095 = 11677. What is the remainder when 1143 is divided by q?
10
Let s(d) = -707*d - 4960. Calculate the remainder when s(-11) is divided by 13.
9
Suppose 4*v - 556 = 4*n, 5*v = -n - 105 - 52. Let c = n + 268. Let q = -89 + c. What is the remainder when q is divided by 10?
7
Let l = -783 - -333. Let j = -253 - l. Calculate the remainder when j is divided by 50.
47
Let t(a) be the first derivative of 2*a**3/3 + 2*a**2 - a + 74. What is the remainder when 13 is divided by t(-3)?
3
Let u be -37*(-4 + -2) + 8/4. Let d be (825/6)/5*u/20. Suppose h + 3*p - 139 = -0*p, 4*p = 2*h - d. Calculate the remainder when h is divided by 30.
28
Suppose -2008 + 5388 = 10*j. What is the remainder when j is divided by 24?
2
Let x = -3472 - -4838. Calculate the remainder when x is divided by 106.
94
Suppose 5*g = 5*w - 40, -11*w + 7*w + 62 = 2*g. Calculate the remainder when (162/5)/((-30)/(-225)) is divided by w.
9
Let c(k) = k**3 - 42*k**2 - 21*k + 763. Calculate the remainder when c(43) is divided by 39.
32
Let r(x) = x**2 + 20*x + 6. Suppose 4*q = 184 + 368. Calculate the remainder when q is divided by r(-21).
3
Let f(j) = j**2 + 38*j - 776. Calculate the remainder when f(-96) is divided by 20.
12
What is the remainder when 115 is divided by 9*(-9*(-4)/(-6) - 245/(-21))?
13
Suppose 2*a + 3*a = 4315. Let g(q) = -1978*q + 150400. What is the remainder when a is divided by g(76)?
71
Let d = 130 + -214. Let m = d + 120. Calculate the remainder when m is divided by 3.
0
Calculate the remainder when ((-140)/6)/((-2)/762*1) is divided by 78.
76
Suppose -5*l + 25 = 2*g - 5, 60 = 4*g + 5*l. Let s(m) = -10*m + 3. Let n be s(-11). Let p = -65 + n. What is the remainder when p is divided by g?
3
Suppose 3*v - 249 = -0*v. Suppose -4*l = -v - 77. What is the remainder when l is divided by ((-24)/(-38))/(246/2337)?
4
Suppose c = 2, 2*u + 2*c = -2*c + 16. Suppose 5*s + 0*h - 5*h - 345 = 0, u*h = -8. What is the remainder when s is divided by 16?
3
Let c(g) = -1 - 2 - 71*g - 2. Suppose -56*f = 20*f - 1596. Calculate the remainder when c(-3) is divided by f.
19
Suppose 5*i + 4*d = -3, 2*d + d = -3*i. Suppose -4*x - 119 = -175. What is the remainder when (117/(-1))/i + -2 is divided by x?
9
Let c be (-378)/(-24) - (-2)/8. Suppose -8 = -y + 2*s, c + 4 = 2*y - 3*s. Suppose 1180*t - 796*t - 54912 = 0. Calculate the remainder when t is divided by y.
15
Let q = 9659 + -9480. Calculate the remainder when q is divided by 6.
5
Let s = 64 - 27. Let x = 1114 - 1105. Suppose 55 = x*v - 17. What is the remainder when s is divided by v?
5
Suppose -6*z + 8*z = -7*s + 22245, s = -5*z + 3159. What is the remainder when s is divided by 16?
11
Let r(x) = x**2 - 4*x - 7. Let w be r(6). Let y(z) = 11*z - 24. What is the remainder when 277 is divided by y(w)?
29
Let o(z) = -z**2 - z + 47. Suppose 184 + 47 = v. Calculate the remainder when v is divided by o(0).
43
What is the remainder when 39 - 47 - -12*184 is divided by 550?
0
Let v(g) = 358*g**2 - 98*g + 12. Calculate the remainder when v(-2) is divided by 34.
8
Let t = 250 + -214. Suppose -3*w + 250 = 4*m, 4*m + t = 4*w - 288. Calculate the remainder when w is divided by 14.
12
Let l(p) = -p**2 + 41*p - 92. Suppose 6*y - 135 = 33. Suppose -2*r - 8 = 0, -2*r + y = 2*w + r. Calculate the remainder when l(37) is divided by w.
16
Suppose 8*o + 17*o + 1786 = 2486. Calculate the remainder when 445 is divided by o.
25
Let b = 879 - 820. What is the remainder when 1052 is divided by b?
49
Suppose -2 = -4*v + 22. Suppose -v*o + 107 + 73 = 0. Suppose -4*f + 3*w - 59 = -290, 3*f + 4*w = 167. What is the remainder when f is divided by o?
27
What is the remainder when 433/(-5)*(-65)/((-377)/(-29)) is divided by 424?
9
Suppose 9*k - 72 = -5*w, 17*w - 20*w = -2*k + 53. Let b = 13 - 8. Calculate the remainder when k is divided by b.
3
Let n be (-12)/2*779/(-38). Suppose -n = -4*r + 73. What is the remainder when 188 is divided by r?
41
Suppose -2*x - 21 + 35 = 0. Suppose 6*k - x*k + 34 = 0. What is the remainder when k is divided by 9?
7
Let u(x) = x**3 - 2*x - 2*x**3 + 3 + 1 - 2*x**2. Let d be u(0). Suppose 0 = d*n - 79 - 33. What is the remainder when n is divided by 16?
12
Suppose 5*k + 10220 = -u + 6*u, 4052 = 2*u + 4*k. Calculate the remainder when u is divided by 15.
13
Suppose -2*r + 760 = 2*c - 626, -2*c + 5*r + 1386 = 0. Calculate the remainder when c is divided by 171.
9
Let a = -465 + 1322. Suppose c + a = 2*q, -3*c = 4*q - 0*c - 1719. What is the remainder when q is divided by 36?
33
Suppose 157 = 8*r + 64*r - 8987. Calculate the remainder when 485 is divided by r.
104
Let k = -47 - -68. Let y(t) = 13*t**2 + 2*t + 1. Let f be ((-2)/3)/(-2*(-1)/(-3)). What is the remainder when k is divided by y(f)?
5
Suppose -22*q - 3 = -3. Suppose q = -11*x - 0*x + 572. Calculate the remainder when x is divided by 7.
3
Let d(u) be the first derivative of -u**4/4 - 20*u**3/3 + 33*u + 87. Let g(x) = 2*x**2 - 2. What is the remainder when d(-20) is divided by g(-2)?
3
Let j(d) = d**3 + 11*d**2 + 10*d - 7. Let k(a) = -