d by 44.
35
Suppose -217*j = 10*j + 8029 - 22330. Calculate the remainder when j is divided by 62.
1
Let b(p) = 14*p**2 - 4*p + 4. Let c be b(4). Suppose h + 194 = -c. What is the remainder when 23 is divided by h/(-56) - 1/4?
2
Calculate the remainder when ((-110448)/(-162))/(6/27) is divided by 205.
198
Let l(i) = -9*i**3 - 4*i**2 - 43*i - 56. What is the remainder when l(-6) is divided by 250?
2
Let c(z) = z**3 - 4*z**2 - 5*z + 5. What is the remainder when 4202 is divided by c(0)?
2
Suppose -24*r = -36*r + 5484. Calculate the remainder when r is divided by 167.
123
What is the remainder when (693/126)/((-4)/(-8432)) is divided by 15?
14
Let u = -94 + 119. Suppose 35*h - u*h = 90. Let z(c) = -c**2 + 17*c + 4. Calculate the remainder when z(15) is divided by h.
7
Suppose 34*v - 38*v = -636. Suppose 4*i = -i + 3*b + v, 5*i = 2*b + 161. Calculate the remainder when 262 is divided by i.
31
Let c(r) be the first derivative of r**4/4 - r**3 - 3*r**2/2 + 1. Let m(v) = -5*v**2 - 168*v + 74. What is the remainder when m(-34) is divided by c(4)?
2
Let a = 144 - 142. Suppose 0 = p - 4, a*t - p = -4*p + 336. What is the remainder when t is divided by 41?
39
Let z = -155 - -458. Let k = -289 + z. Calculate the remainder when 22 is divided by k.
8
Let g(f) = 5*f - 41. Let t(u) = 24*u - 128. Let a be t(6). Calculate the remainder when 72 is divided by g(a).
33
Suppose -3 = 3*h, -130*s - 122 = -133*s + 2*h. What is the remainder when 288 is divided by s?
8
Let s(w) = 2*w**3 + 20*w**2 - 30*w + 48. Calculate the remainder when 266 is divided by s(-11).
130
Let c = -13079 + 13193. Calculate the remainder when 447 is divided by c.
105
Suppose 0 = -5766*p + 5755*p + 308. Calculate the remainder when 193 is divided by p.
25
Let y be 8/14*7 - 16. Let k(g) = -9*g - 75. What is the remainder when 157 is divided by k(y)?
25
Let n(h) = -26*h - 29. Let d = -178 - -175. What is the remainder when 389 is divided by n(d)?
46
Suppose 4*i + 6 = -5*s + 79, -3*i = -3*s + 6. Suppose 5*l - d = 134, -3*l + 16 = -5*d - 60. What is the remainder when l is divided by i?
6
Let u = 96 - 64. Suppose b = -2*z - b + 40, 0 = z + 5*b - u. What is the remainder when z is divided by 10?
7
What is the remainder when (-11 + 4722/(-18))*(-1 - 1/(-4)) is divided by 179?
26
Let d be (-728195)/(-455) - (-3)/(-7). Suppose 0 = -29*f - 3*f + d. What is the remainder when f is divided by 13?
11
Let z(r) = -r**3 + 9*r**2 - 5*r - 24. Let u be z(8). Let o(k) = u*k + 22 + k - 4*k - k. What is the remainder when 8 is divided by o(4)?
2
Suppose 11*v + 63 = 96. Suppose 0 = -v*t - 2*q + 293, -6*t + q = -3*t - 290. Calculate the remainder when t is divided by 9.
7
Let d = -95 - -135. Let z = 1034 - 709. Suppose 328*m - 69 = z*m. Calculate the remainder when d is divided by m.
17
Calculate the remainder when 168 is divided by (-72)/48*3/9*12 + 36.
18
Suppose -18*p + 5*p + 871 = 0. What is the remainder when p is divided by (-2)/(-2) + 25 - 3?
21
Suppose 432*d = 433*d - 4. Let m(z) be the first derivative of z**3/3 - 3*z**2/2 - 7*z - 5. Calculate the remainder when m(8) is divided by d.
1
Suppose -44 - 517 = 3*p. Let u = -164 - p. What is the remainder when 226 is divided by u?
19
Let m(i) = -i**3 - 73*i**2 + 6*i + 455. What is the remainder when m(-73) is divided by 5?
2
Let y(x) = -x**3 + 10*x**2 - 6*x + 80. Calculate the remainder when 1477 is divided by y(10).
17
What is the remainder when 27687/(-6)*(-78)/143 is divided by 35?
32
Let d(x) = 6*x**3 + x**2 - 2. Let j be d(1). Suppose 3*i - 3 = 4*n + 43, 0 = j*n + 5. What is the remainder when 97 is divided by i/(-49) - 284/(-14)?
17
Let x = -21912 + 22003. Calculate the remainder when 12010 is divided by x.
89
Let c(u) = -2*u**2 + 45*u + 27. Let q be c(23). Suppose -q*a + 240 = 2*a. What is the remainder when a is divided by 7?
5
Suppose -4*x - 20 = 0, -3*y + 935*x + 3690 = 938*x. What is the remainder when y is divided by 155?
150
Let u(z) = 29*z**3 + 5*z**2 - 23*z + 61. Calculate the remainder when u(4) is divided by 212.
209
Suppose c + 7 = 2*g, 0 = 3*c + 21*g - 16*g - 12. Let m = -3 - -2. What is the remainder when 21 - (m/c - 3) is divided by 9?
5
Let d(k) = -8 - k**3 + 9*k**2 - 8*k - 3*k + 2*k. Let o(r) = 6*r - 8. Calculate the remainder when d(7) is divided by o(3).
7
Suppose 4*r + 344 = 4*y, -421*r = -419*r. What is the remainder when 771 is divided by y?
83
Let c(s) = -67*s + 2. Let y be c(4). Let z(f) = -67*f - 19. Let o be z(-6). Let p = o + y. Calculate the remainder when p is divided by 24.
21
Suppose -5 = -5*t - 65. What is the remainder when t*(6 - (-162)/(-12)) is divided by 24?
18
Calculate the remainder when 2691 is divided by 250/4*(-732)/(-305).
141
Let w = -522 + 476. Calculate the remainder when w + 41 + 181/1 is divided by 38.
24
Let j = 16788 - 16434. Let k(b) = b**3 - 7*b**2 + 10*b - 7. What is the remainder when j is divided by k(6)?
14
Suppose 5*p = 25*m + 1280, -19*p - m = -20*p + 252. Let y(x) = -x**3 + 6*x**2 - x - 1. What is the remainder when p is divided by y(3)?
21
Suppose 3*h = 2*h + 60. Calculate the remainder when h is divided by (28 - 0) + 140/14 + 9.
13
Let a = -61 - -113. Let x(d) be the second derivative of d**3/3 - 21*d**2 + 77*d. Calculate the remainder when a is divided by x(30).
16
Let a = -15 + 26. Let k = -143 - -147. Suppose -2*p + 2*m + 4 = 0, k*p - 16 - 17 = -m. What is the remainder when a is divided by p?
4
Let t = -405 + 176. Let x = -181 - t. What is the remainder when x is divided by 21?
6
Let c be -10*(-1 - 0)*22. Let o = c - 202. Calculate the remainder when 172 is divided by o.
10
Let j = -7850 + 8386. What is the remainder when 1613 is divided by j?
5
Let j = -15255 - -15293. What is the remainder when 1057 is divided by j?
31
Suppose -u - 381 + 2322 = 5*m, 2*u - 3810 = 2*m. Calculate the remainder when u is divided by 473.
19
Let r(m) = -12*m**2 + m + 6. Let v be (10/4 - 3)*18/3. Let g be r(v). Let o = -62 - g. What is the remainder when 84 is divided by o?
41
Let m(l) = l**2 + 21*l + 97. Let t be m(-6). Suppose -8 = -4*j, -4*k = -t*k - 2*j + 22. Calculate the remainder when 81 is divided by k.
3
Suppose -46 - 80 = 6*d. Let r(o) = 2*o**2 + 36*o + 23. Let t be r(d). Suppose -t*g + 152*g = 42. What is the remainder when 123 is divided by g?
11
What is the remainder when ((-1505)/(-20) - -5)*(4 - 12/9) is divided by 86?
42
Suppose -3*v + 2*v + 246 = 0. Calculate the remainder when v is divided by -21*(-8 + (-550)/(-75)).
8
Let u = 25 - -31. Suppose 22*b - u = 20*b. Calculate the remainder when (41/2)/(((-18)/(-24))/3) is divided by b.
26
Suppose -19 = -2*t + v, -2*v + 84 = 5*t + 59. Suppose 154 = 14*y - t*y. Calculate the remainder when y is divided by 10.
2
Suppose -20*t + 2222 + 8175 + 3803 = 0. What is the remainder when t is divided by 96?
38
Let n = 1201 + -436. What is the remainder when n is divided by 8?
5
Let r(u) = -372*u - 229. What is the remainder when r(-2) is divided by 5?
0
Let d = 246 + -162. Let x(k) = -6*k + 197. What is the remainder when d is divided by x(30)?
16
Suppose -18 + 8 = -5*a. Suppose -a*f = 2*f - 60. Let q(u) = 2*u**3 - 18*u**2 + 53*u + 7. What is the remainder when q(3) is divided by f?
13
Suppose 4*i + 4*j - 312 = 1812, 19*j + 2239 = 4*i. Calculate the remainder when i is divided by 49.
46
Suppose 0 = -8*y + 6*y - 96. Let d = y + 65. Calculate the remainder when 151 is divided by d.
15
Suppose 2*v = 3*h, -3*h - v = -2*h. What is the remainder when 2*(-4 - h)/(-4)*10 is divided by (-4)/(-18) - 318/(-27)?
8
Let w = -132078 - -132149. Let q(u) = u**3 - 8*u**2 + 9*u + 1. Calculate the remainder when w is divided by q(7).
11
Let s = 27 - 24. Suppose -227 = -s*d + 166. Suppose 0 = 110*v - 104*v - 114. What is the remainder when d is divided by v?
17
Suppose -5*z = -5*y + 795, -5*y = z - 331 - 494. Calculate the remainder when y is divided by 15.
14
Let t = -116 - -43. Let u = -41 - t. Let w = 58 - u. What is the remainder when 100 is divided by w?
22
Suppose -3*l + 8*l = 3*i + 11, -5 = l. Let x = i + 2. What is the remainder when (-16 + 10)/(3/x) is divided by 8?
4
Let u = 46 + -43. Let r be -6 + u + 6 - 0. Suppose 0 = l + r*k - 15, -2*k + 37 = 3*l - k. Calculate the remainder when 21 is divided by l.
9
What is the remainder when (-41)/((-15)/6 - 2628/(-1080)) is divid