he remainder when a is divided by p.
15
Let x(p) = 10*p - 1. Suppose -2*t + 11 + 2 = -m, 0 = 2*t + 5*m + 17. Suppose 72 = -l + t*l. What is the remainder when l is divided by x(1)?
6
Let u(q) be the first derivative of q**4/8 - 2*q**3/3 - q**2 + 8. Let c(j) be the second derivative of u(j). What is the remainder when 15 is divided by c(3)?
0
Let r be (-1 + 0)/1 - -1. Suppose 5*u - 34 - 26 = r. Suppose u*z + 170 = 17*z. Calculate the remainder when 67 is divided by z.
33
Let x(z) = -30*z - 4. Suppose -44253 + 44309 = 4*c, -2*y = -4*c - 38. Calculate the remainder when x(-6) is divided by y.
35
Let t = 18497 + -18235. Calculate the remainder when t is divided by 96.
70
Suppose -3064 = -36*n - 2416. Suppose 0 = -y + 10 + 59. Calculate the remainder when y is divided by n.
15
Suppose -4*i = -2*i - 56. Calculate the remainder when i is divided by 3*(17 + 4)/(-3)*(0 - 1).
7
Let p(h) = -5*h + 7. What is the remainder when p(-6) is divided by 0/(-16) - (342/(-26) - (-18)/117)?
11
Let k = -32 - -34. Let z(y) = -y**k - 7 - 3*y - 3*y**2 - 5*y - y**3 + y. What is the remainder when z(-7) is divided by 48?
45
Let p(y) = y**3 - y**2. Let v be p(0). Suppose v = 112*d - 121*d + 135. What is the remainder when 29 is divided by d?
14
Let l be (0 - (-2)/(-4))*-4. Let a(d) = -7*d - 216. What is the remainder when (l - 0)*(-43)/(-2) is divided by a(-34)?
21
Calculate the remainder when (-8)/(-112)*21*356/3 is divided by 9.
7
Suppose 19 = -20*y + 39*y. Let z = 18 - y. Calculate the remainder when 116 is divided by z.
14
Let b(r) = -46*r. Let w = 880 + -846. Suppose w*c - 18*c - 2912 = 0. Calculate the remainder when c is divided by b(-1).
44
Let v = -8389 - -14748. Calculate the remainder when v is divided by 10.
9
Let y(i) = -159*i - 306. What is the remainder when 3241 is divided by y(-3)?
163
Let q(s) = 3*s + 83. Let c be q(-26). Suppose c*a - 5*o = -5, 0*o - 2*o + 4 = -3*a. What is the remainder when 17 is divided by (-1 + -2)/(-3) + 10 + a?
8
Let n = -1709 - -1832. Calculate the remainder when 983 is divided by n.
122
Suppose 5*o = -g + 155, 33*o - 38*o + 140 = 4*g. Calculate the remainder when 94 is divided by o.
30
Let o be (-1)/((-4)/28) + -2. Suppose 2*p + 91 = o*i, 4*p = -9*i + 6*i + 65. What is the remainder when 87 is divided by i?
11
Let u = -582 + 33. What is the remainder when u/(-12) - ((-5)/4 - -1) is divided by 12?
10
Suppose -4*d = -4*l, 4*d + 3*l + 7 - 28 = 0. Let o(h) = 4*h**2 + 21*h - 4. Calculate the remainder when o(d) is divided by 30.
5
What is the remainder when 593 is divided by (-58)/783 - 1894/(-54)?
33
Suppose 414 = 2*x + 46. Suppose -15*m + 108 = -12*m + l, -3*m = -4*l - 123. What is the remainder when x is divided by m?
36
Let k = 35 - 15. Calculate the remainder when (-1665 - -1639) + (-58)/(-1) is divided by k.
12
Suppose 2 - 10 = -4*t. Suppose m = -4*d + t*m + 40, 4*d + m = 48. Let l = 991 - 928. Calculate the remainder when l is divided by d.
8
Let k = -3876 + 4125. What is the remainder when k is divided by 68?
45
Let a(p) = 4 - 13*p**2 - 8*p**2 - 8*p + 20*p**2. Let y(j) = j**3 - 8*j**2 + 6. Calculate the remainder when a(-7) is divided by y(8).
5
Suppose -24 - 80 = 2*z. Let j = 13 - z. Suppose 17*i = 12*i + j. Calculate the remainder when 103 is divided by i.
12
Let c = 135 - 131. Suppose 533 = 5*p - 2*x, -c*p + 425 = 3*x - 6*x. What is the remainder when p is divided by 38?
31
Let w be 292/(-18) + (-26)/(-117). Let y = w + 17. Let u(c) = -c**2 - 43*c + 95. Calculate the remainder when u(-45) is divided by y.
0
Suppose 0 = -3*t - 2*v - 2, -2*t = -t + 5*v + 18. Suppose -37 = -2*z - m - 9, z - 4 = t*m. Calculate the remainder when 23 is divided by z.
11
Let d(f) = 2*f**3 - 8*f**2 - 12*f - 6. Let b(n) = -2*n - 5. Let u be b(-6). Let i(o) = 11*o - 14. What is the remainder when d(u) is divided by i(6)?
48
Suppose 336 = 58*k - 50*k. Suppose -2*t + 3*o = -52, -3*t + 2 = 4*o - k. What is the remainder when t is divided by 4?
0
Let c be 52/104 + 1/((-4)/54). What is the remainder when -7 - 837/(c + 4) is divided by 58?
28
Let c be 24/30*(2*-147 - -4). Calculate the remainder when 32 is divided by 27/2*c/(-522).
2
Suppose -9*u + 26 = -7*u. Let l = -4568 + 4618. Calculate the remainder when l is divided by u.
11
Let c = 599 - 385. Suppose -5*t + 4*v = -c, -3*v - 13 = 3*t - 136. What is the remainder when t is divided by 14?
0
Let t = 17500 + -16474. Calculate the remainder when t is divided by 166.
30
Suppose -a - 6 + 32 = -7. Suppose -23 = p - 150. Suppose 2*f + w = p, -3*w = -0*f + 5*f - 317. Calculate the remainder when f is divided by a.
31
Let n(d) = -d**2 + 18*d + 485. Calculate the remainder when n(-14) is divided by (1 + -2)*-22 - 2.
17
Let k = -22 + 36. Let w = k - 4. Suppose -7*o + 123 = 4. What is the remainder when o is divided by w?
7
What is the remainder when ((-174)/(-10) - -1)*5 is divided by (-4)/14*(-1659)/7110*615?
10
Let p be (29 - 28)*(311 - 1) + -2. Let v = p - 293. What is the remainder when 113 is divided by v?
8
Suppose -5*z - 2*m = -5306, -5*z + 3*m + 1801 = -3490. What is the remainder when z is divided by 136?
108
Suppose 2*r + 3*w - 60 = 3*r, 68 = -r + 5*w. Let n = r - -97. Suppose 0*s - 4*s = x - n, -2*s = 10. What is the remainder when x is divided by 14?
13
Suppose 3*f + 2 = 4*f. Suppose a = 3, f*a = 2*k + a - 57. Let g = -9 + k. What is the remainder when 83 is divided by g?
20
Calculate the remainder when (((-4)/10)/(278/4865))/(1/(-19)) is divided by 15.
13
Calculate the remainder when 12/(-20) + (-366)/(-10) is divided by 16.
4
Let i = 5120 + -5078. Calculate the remainder when i is divided by 23.
19
Let c(s) be the second derivative of -s**4/12 - 3*s**3 + 24*s**2 + 103*s. What is the remainder when 288 is divided by c(-19)?
27
Let k(s) = 1806*s**3 - 3614*s**3 + 34*s + 2 + 16*s**2 + 1809*s**3. Calculate the remainder when k(-4) is divided by 31.
27
Let i(g) = 29 + 187 - 3*g - 4*g + 2*g - 54. What is the remainder when (-1704)/(-10) - (-2)/(-5) is divided by i(21)?
56
Let t = -16 + 21. Let z(c) = 2*c**3 - 10*c**2 + c + 16. What is the remainder when 165 is divided by z(t)?
18
Let m be 12/(-3) - 0/(-4). Let j(s) = -2*s**2 + 3*s + 7. Let w be j(m). Let d = 46 + w. Calculate the remainder when 34 is divided by d.
7
Suppose 2 + 4 = 2*g. Suppose g = j, -m + 57 = 3*m - j. Suppose 0 = -20*u + m*u + 245. What is the remainder when u is divided by 10?
9
Let r(s) = 26*s - 43. Let f = -510 - -513. What is the remainder when r(f) is divided by 5?
0
Let r(f) be the second derivative of 5*f**4/12 + 11*f**3/3 + f**2 - 99*f. Calculate the remainder when r(-6) is divided by 14.
8
Let w = -268 - -319. Suppose 2*u = u + w. Let h = -16 + 34. What is the remainder when u is divided by h?
15
Suppose -4*a = -3*u - 6*a - 1, 9 = -2*u - 3*a. Suppose -2*s = u*d - 25, -2*s - 2*s = d - 75. What is the remainder when 56 is divided by s?
16
Let v(t) = t**3 - 27*t**2 + 27*t + 21. Let s be v(26). Suppose s*g = 50*g - 216. What is the remainder when g is divided by 17?
4
Let q(s) = -23*s - 39. Let w be q(-2). Suppose x = 3*k + 178, -4*x + 9*k + 732 = w*k. Calculate the remainder when x is divided by 37.
36
Let z(v) = -v**3 + v**2 + 6*v + 110. Suppose -2*d = -3*y + 58, 5*d = -5*y + 4*d + 75. Calculate the remainder when z(0) is divided by y.
14
Suppose 2*x + 4*j = 4*x - 1344, -4*x + 2*j = -2724. What is the remainder when x is divided by 87?
75
Let i(q) = q + 8. Let p be i(0). Suppose p*c + 39 = 11*c. Suppose 8*j + 245 = 5*z + 3*j, -163 = -3*z - 5*j. Calculate the remainder when z is divided by c.
12
Let v = 244 - 216. Suppose -4*s - 202 = -2*w, 2*s - 5*s - 512 = -5*w. What is the remainder when w is divided by v?
19
Suppose -20696 = -124*v + 17744. Calculate the remainder when 745 is divided by v.
125
Suppose 2*m - 1092 - 124 = 0. Let o = 1246 + m. Calculate the remainder when (o/(-45))/(2/(-5)) is divided by 15.
13
Let x = -239 + 313. Calculate the remainder when x is divided by (-4)/2 - (-3 + -12).
9
Let w = 43 + -145. Let y = w - -106. Suppose -5*r + 16 = -u, -y*u + 6*u - r = 4. What is the remainder when 11 is divided by u?
3
Let x be 3*((-64)/(-6) - 2). Suppose 9*t + 19 = -x. Calculate the remainder when 59 is divided by t/(210/(-618)) + 4/14.
14
Let z = 3252 - 3218. What is the remainder when 1326 is divided by z?
0
Suppose