- 3. What is the remainder when m(-2) is divided by b?
2
Suppose 126 = -48*t + 55*t. Suppose -81 = 9*c - t*c. Let u(h) = -2*h**3 - 5*h**2 + 7*h + 6. Calculate the remainder when u(-5) is divided by c.
6
Suppose 215 = 19*v - 14*v. Let q = v + -21. Calculate the remainder when (105 + 2)/1 + 10/5 is divided by q.
21
Suppose 6*s = 48*s - 37548. What is the remainder when s is divided by 76?
58
Let t = 482 - 394. What is the remainder when t is divided by (-406)/(-70) - (-2 + (-27)/(-15))?
4
Let w be (1 + -2 + 4)*29. Suppose 28*l - 122 = 26*l - 3*v, 2*v + 92 = 2*l. What is the remainder when l is divided by ((-1)/1)/((-3)/w)?
23
Let v(y) = 1 - 7 + 7*y - 6*y. What is the remainder when 3/(-12) + (-114)/(-8) is divided by v(14)?
6
Let y = -86 + 163. Let a = 262 + -257. What is the remainder when y is divided by a?
2
Suppose 0*q = -5*q - 3*p + 2, 3*p - 10 = -q. Let a(v) = 8*v**2 + 6*v - 1. What is the remainder when a(q) is divided by 8?
3
Let m(v) = -61*v + 2762. What is the remainder when m(41) is divided by 248?
13
Let g(p) = -7*p - 79. Let n be g(-12). Suppose -2*r - 190 = -5*j + 155, 345 = 5*j + n*r. What is the remainder when j is divided by 35?
34
Let a = -308 + 197. Suppose 6*z = 3*w + 78, -4*z = 344*w - 340*w - 52. Calculate the remainder when (-3)/15 - a/5 is divided by z.
9
Calculate the remainder when 212 is divided by ((-1368)/(-270))/((-4)/(-30)).
22
Let x = -250 + -33. Let i = 335 + x. Let u(o) = -o**3 + 11*o**2 - 10*o + 5. What is the remainder when i is divided by u(10)?
2
Suppose p = -3*a + 23, 3*a + 0*p = -3*p + 33. Suppose 0 = 10*z - 19 - 21. Suppose t + a = z*t. Calculate the remainder when t is divided by 2.
0
What is the remainder when 733 is divided by (35/(-20) - (-14)/(-56))/((-4)/102)?
19
Let b be 9 + 520/(-56) + 37/7. Suppose 3*f = -15, b*f + 141 = 15*k - 13*k. What is the remainder when k is divided by 17?
7
Let j(o) = -o**2 - 8*o + 4. Let x = 3 - 12. Let l be j(x). Let u = l + 38. What is the remainder when u is divided by 17?
16
Suppose -783 = -8*t + 4825. Calculate the remainder when t is divided by 88.
85
Let p = 895 + -890. Suppose -p*w + 7*r = 10*r - 749, -4*w + 589 = -r. What is the remainder when w is divided by 53?
42
Suppose -2*x = 12, 5*i + 4*x + 531 = 632. Let o(b) be the second derivative of b**4 - b**3/6 + b**2 - 2*b. Calculate the remainder when o(2) is divided by i.
23
Let z be (1 - -11)*18/54. Suppose -a - z*a + 94 = 2*h, 0 = -4*a - h + 74. What is the remainder when 34 is divided by (-1)/(-3)*(a - -39)?
15
Suppose -3*l + 109 + 5 = 0. Calculate the remainder when l is divided by 24.
14
Let q(m) = -m**3 + 2*m**2 + 12*m + 26. Suppose -25 = -5*j, 4*f = -4*j + 1 + 7. Calculate the remainder when q(f) is divided by 9.
8
Let y(r) = r**3 - r + 8. Let n(u) = -2*u + 1. Let x be n(-2). Let q be y(x). Let f = q + -99. What is the remainder when f is divided by 11?
7
Suppose -6 = j - 11. Let n be -3 - -5 - (-10)/j. Let h(x) = x**3 - 5*x**2 + 5*x + 4. Calculate the remainder when 29 is divided by h(n).
5
Suppose -2*p = 2, 2*m = 3*p - 4*p + 27. Let t(l) = l**3 + 9*l**2 + 9*l + 9. Let o = 121 + -124. Calculate the remainder when t(o) is divided by m.
8
Suppose -4*t - 3*v = -160, -4*t + 61 = -3*v - 75. Let g(q) = 3*q**2 - 31*q - 42. What is the remainder when g(14) is divided by t?
1
Suppose 3685*i - 7504 = 3671*i. Calculate the remainder when i is divided by 49.
46
Let n be 45/(-10)*(41/9 + -5). Suppose -k + 15 = 4*g - 29, -3*k = -n*g + 22. What is the remainder when 13 is divided by g?
2
Let a(c) be the third derivative of -3*c**4/8 - 2*c**3 + 6*c**2. Calculate the remainder when a(-6) is divided by (7/14)/(3/90).
12
Suppose 4*s + 96 - 144 = 0. Suppose s*x = 25*x - 143. Calculate the remainder when 195 is divided by x.
8
Let u(o) = -5*o + 170. Let m be u(-12). Suppose 4*p + 358 = 5*f, 0 = 4*f + 4*p - m - 78. Calculate the remainder when 144 is divided by f.
70
Suppose s + 8 = 2*z, -3*s = -2*z + 4*z. Let a(n) = -11*n - 1. What is the remainder when a(s) is divided by -1*9/12 + (-105)/(-12)?
5
Let m(d) = 41*d - 12. Let i(y) = 42*y - 12. Let u(l) = 5*i(l) - 4*m(l). Let w be u(2). Let x = w + -71. What is the remainder when 23 is divided by x?
5
Suppose -3115 = -81*c + 16247 + 20976. What is the remainder when c is divided by 220?
58
Suppose -4*s + 4*x = 28, 0*x + 4*x - 20 = 2*s. Let h be 2/4 + 310/s. Let d = 126 + h. Calculate the remainder when d is divided by 26.
23
Let a = -126 - -189. Let y be (a/35)/((-9)/5 + 2). Suppose y*u = 2*j + 5*u - 116, 3*j - 5*u - 177 = 0. What is the remainder when j is divided by 34?
30
Let b = -251 + 793. Let t = b + -357. What is the remainder when t is divided by 34?
15
Let q = 367 - 323. Suppose 4*d - q = -0. What is the remainder when 63 is divided by d?
8
Suppose 3*h + 11*k - 8*k - 603 = 0, 394 = 2*h + 3*k. Calculate the remainder when 1856 is divided by h.
184
Let f(k) = -2*k**2 - 3*k - 25. Let n be f(6). Let a = 142 + n. Calculate the remainder when 50 is divided by a.
23
Calculate the remainder when (4 - 3)/((133/(-924))/(-19)) is divided by 24.
12
Suppose -2*m = 4*o - 222, 5*o - 72 - 186 = 4*m. Let g = -120 + 113. Let i = o + g. Calculate the remainder when i is divided by 16.
15
Let a be (2 + (4 + -9)/(-10))*2. Suppose 2*i - 81 = -0*n + a*n, 4*i + 4*n - 120 = 0. What is the remainder when 162 is divided by i?
30
Let z(a) = 6*a**3 - a**2 + 10*a - 6. Let b(k) = -k**3 + k**2 - k. Let g(p) = -5*b(p) - z(p). Calculate the remainder when 23 is divided by g(-3).
11
Let a = 40272 + -40180. What is the remainder when 759 is divided by a?
23
Let c = -5301 - -9250. What is the remainder when c is divided by 16?
13
Calculate the remainder when -11*6/(-330) - (-1)/(20/17356) is divided by 72.
4
What is the remainder when 408 is divided by (0 + 9/15)/(1/10) + 124?
18
What is the remainder when 24/28*(-163324)/(-38) is divided by 123?
117
Let j(s) = s**2 + 5*s + 5. Suppose -23*f + 1508 = 1416. Calculate the remainder when j(-6) is divided by f.
3
Let v be (3/1)/(9/(-276)). Suppose 675 = 5*j - 5*k, 64 = j + k - 79. Let w = j + v. Calculate the remainder when w is divided by 10.
7
Let x(d) = -15*d**3 + 3*d**2 + d. Let h(u) = 23*u**3 + u**2 - 3. Calculate the remainder when h(2) is divided by x(-1).
15
Let t = -498 + 556. What is the remainder when 589 is divided by t?
9
Let g = -29 - 203. Let w = 328 + g. Calculate the remainder when w is divided by 25.
21
Suppose 256*v + 8549 = 293*v - 6584. Calculate the remainder when v is divided by 77.
24
Suppose -170*b + 10919 = -11884 - 3037. Let k(r) = -2*r**3 - 4*r**2 + 3*r. Let c be k(2). Let m = c - -78. What is the remainder when b is divided by m?
48
Suppose -13 - 15 = -7*n. Suppose 3*o = 2*i - 459, -2*o - n*i = -5*o - 453. Let w = -37 - o. Calculate the remainder when w is divided by 30.
28
Let u = 1087 - 643. What is the remainder when u is divided by ((-432)/(-135))/((-1)/(-5))?
12
Let q(s) = s**2 + 8*s - 92. Let j be q(-23). Suppose 188 = 3*n - j. What is the remainder when n is divided by 30?
27
Suppose 4*c - 3*w + 63 = 0, 0 = -3*c - 2*w + 15 - 75. Let r be (-3)/6*152/(-2). Let b = r + c. Calculate the remainder when 39 is divided by b.
19
Let s(g) = -175*g - 519. What is the remainder when 25 is divided by s(-3)?
1
What is the remainder when (-112)/(-32) + 30585/18*3 is divided by 22?
19
Let b = 46979 + -46407. Calculate the remainder when b is divided by 126.
68
Let a(w) = -4*w**2 - 18*w - 43. Let y be a(-6). Let l = y + 112. Calculate the remainder when 111 is divided by l.
12
Let o be 1533/(-28)*-2*4/6. Suppose 2*g = 34 - 26, -3*m + 2*g + o = 0. What is the remainder when 142 is divided by m?
7
Let c = -3131 + 3200. What is the remainder when 604 is divided by c?
52
Suppose -v + 489 = 2*v. Let a = 173 - v. Calculate the remainder when 198 is divided by a.
8
What is the remainder when 723 is divided by (-110)/(-4)*(-20)/(-650)*182?
107
Let g(n) = -6*n**3 + n**2 - 9*n + 26. Calculate the remainder when g(-4) is divided by 27.
3
Let x = 86 - 90. Let j be (x - (-1)/(-3)) + (-2)/(-6). Calculate the remainder when j + 76 + (-2)/((-2)/(-3)) is divided by 8.
5
Let a = -2836 + 3933. What is the remainder when a is divided by 55?
52
Suppose 15*z - 1719 = -5*b + 17*z, 0 = 3*b - 3*z - 1026. Calculate the remainder when b is divided by 86.
1
Let u be