
50
Let f(z) = 112*z**2 + 197*z + 1263. What is the remainder when f(-6) is divided by 34?
33
Suppose -3520 = t - 5917. What is the remainder when t is divided by 75?
72
Let u = 6345 - 6292. What is the remainder when 2119 is divided by u?
52
Let f = -21 - -25. Suppose 0 = -0*k - 3*k + 2*o + f, -3*k + o + 2 = 0. Suppose 5*j + 104 - 484 = k. Calculate the remainder when j is divided by 8.
4
Let u(n) = -365*n - 2046. Calculate the remainder when u(-6) is divided by 32.
16
Suppose 0*f = 3*f - 6. Suppose -130*g + 261*g - 207*g - 51 = -431. What is the remainder when g is divided by 1 - f - 0 - -3?
1
Suppose 0 = 15*f - 9*f - 126. Suppose -4*z = -90 - 62. Calculate the remainder when z is divided by f.
17
Suppose 0*m + 2*d = 3*m - 61, 0 = 5*m - 2*d - 103. Calculate the remainder when 3/13*1664/576 + (-578)/(-6) is divided by m.
13
Let f = 327 - 131. Calculate the remainder when f is divided by 22.
20
Let d = 47 - 32. Suppose -i + 0*s = 2*s - 70, 0 = 2*s. What is the remainder when i is divided by d?
10
Let r(f) = f**2 - f + 101. Let u(z) be the first derivative of z**4/4 + z**2 + 27*z + 74. What is the remainder when r(0) is divided by u(0)?
20
Suppose 70 + 55 = 3*v + 2*a, 4*v + 5*a - 176 = 0. What is the remainder when v is divided by (25/(-15))/(-5)*(1 + 20)?
4
Suppose 28*x + 287 = -192*x + 4247. Suppose -6*b = -b - 90. What is the remainder when b is divided by x?
0
Suppose 1505 = 3*w + 4*y, 23*y = -2*w + 17*y + 1010. What is the remainder when w is divided by 158?
25
What is the remainder when 754 is divided by (83 + 0)/(26/(-260)*-10)?
7
Suppose 0 = b + b + b. Let w be -2 + (0 - b) + (-5 - -112). Calculate the remainder when (w/(-10))/((-6)/28) is divided by 10.
9
Suppose 5*i = -2*d + 88, -2*i - 3*d = 2*i - 69. Let w be (-69)/(-6) + 12/8. Let v = -3 + w. Calculate the remainder when i is divided by v.
8
Let s(i) be the first derivative of 2*i**3/3 - 31*i**2/2 - 58*i + 15. Let r = 31 - 12. What is the remainder when s(19) is divided by r?
18
Let v = -63 + 94. Suppose -364*h + 1078 = -342*h. Calculate the remainder when h is divided by v.
18
Let v(i) = -64 - 24*i**2 + 10*i + 29*i**3 - 30*i**3 + 11*i. Calculate the remainder when 140 is divided by v(-25).
32
Suppose -28*h + 1135 + 181 = 0. Let m = 23 - 20. Suppose 0 = o + 4*o - 3*s - 24, -24 = -m*o - 3*s. Calculate the remainder when h is divided by o.
5
Let s be 2/(-6)*-3*(15 - 17). What is the remainder when 238 is divided by ((-1)/2 - (-9)/s) + 54?
42
Suppose 2*p - 6396 = 43*p. Let y(c) = -34*c - 10. Let n be y(-7). Let g = p + n. What is the remainder when g is divided by 15?
12
Let p(g) = -3*g - 56. Let y = -105 - -84. Calculate the remainder when 29 is divided by p(y).
1
Calculate the remainder when 430 is divided by (-180)/(-10 - -15)*-2.
70
Let i be -1 - (68*4/(-1) - 2). Suppose 18*f + 3*f = i. What is the remainder when f is divided by 3?
1
Let q(v) = -v**3 + 14*v**2 + 2*v + 16. Let t be q(14). Let s = 40 - t. Calculate the remainder when 34 is divided by ((-25)/(-10) + s)*-6.
7
Let c(g) = 183*g - 1072. What is the remainder when 524 is divided by c(6)?
4
Suppose -16 = -5*s + 9*s. What is the remainder when (2 + 351/(-6))/(2/s) is divided by 58?
55
Let d(y) = 3*y - 9. Let s be d(11). Suppose -6 = 2*f - s. Let x(o) = 5*o**2 - o - 12. Calculate the remainder when f is divided by x(2).
3
Let l = -3798 + 4760. Calculate the remainder when l is divided by 19.
12
Let w(v) = -v**3 - 6*v**2 + 13*v + 42. What is the remainder when w(-10) is divided by 152?
8
Let t(p) = -p**3 - 59*p**2 - 58*p + 288. What is the remainder when 584 is divided by t(-58)?
8
Let m = 44629 - 44504. What is the remainder when 673 is divided by m?
48
Suppose 328*u = 447*u - 51051. What is the remainder when u is divided by 74?
59
Let o(l) = -l**3 + 26*l**2 + 8*l + 541. Calculate the remainder when 234 is divided by o(27).
10
Suppose a - 7288 = -4*c, -85*c - 29128 = -4*a - 89*c. Calculate the remainder when a is divided by 155.
150
Let y = 887 + -804. Suppose 16*d - 13*d = -5*w + y, 3*w = -2*d + 49. Calculate the remainder when w is divided by 12.
7
Let r be ((-12)/9 - -3)*(0 - -10854). Let v be (-2 + 1)/((-2)/r*-5). Calculate the remainder when (-2)/(10/1) - v/45 is divided by 15.
10
Let c = 48 - -10. Let w = 8 + 32. Suppose -w = -3*y + y. Calculate the remainder when c is divided by y.
18
Suppose -5*x - 575 = -5*t, 2*t + t = 2*x + 341. Suppose 0 = 5*p + 2*u - t, -2*p + 87 = 2*p + u. What is the remainder when 59/3*3 - -2 is divided by p?
19
Let z be (9/6)/(24/(-5536)). Let o = z + 468. Calculate the remainder when o is divided by 31.
29
Let i(b) = -b**3 - 2*b**2 - 3. Let m be i(-3). Let w be 52/m - 1/(-3). Suppose -58 = -w*z + 14. What is the remainder when 63 is divided by z?
7
Let o be (-65)/(-10) - 7 - (-14)/4. Suppose -51 = -5*m - 2*w, -4*m + 51 = o*w + 6. What is the remainder when 39 is divided by m?
3
Let a be 1*4/(-8)*34. Let o = a + 60. Suppose -3*r = -o + 10. What is the remainder when 54 is divided by r?
10
Suppose -101*d + 98*d = 2*y - 1297, 2*y - 1322 = 2*d. What is the remainder when y is divided by 325?
6
Suppose -35*d - 833 + 1803 + 850 = 0. Calculate the remainder when 103 is divided by d.
51
Let u(l) = 133*l - 4382. Calculate the remainder when u(43) is divided by 104.
89
Let r(j) = 83*j**2 - 95*j - 827. What is the remainder when r(25) is divided by 75?
73
Let h = -473 - -337. Let k = h - -180. Calculate the remainder when k is divided by 12.
8
Let l(u) be the first derivative of 22*u**3/3 - 3*u**2 - 3*u + 67. Calculate the remainder when l(3) is divided by 30.
27
Suppose d + 1963 = t, 488*d + 9788 = 5*t + 492*d. Calculate the remainder when t is divided by 18.
16
Let b(w) = -9*w - 92. Let f be b(-11). Calculate the remainder when (-4)/f*(-37072)/32 is divided by 35.
32
Suppose -2*b - 5*a + 90 = -1222, -2*b = -a - 1288. Let w = b + -473. What is the remainder when w is divided by 20?
13
Let v(i) = i**2 + 2*i - 11. Let b be v(-7). Let k(u) = -10 - 20*u - b*u + 51*u + 4. Calculate the remainder when 51 is divided by k(3).
6
Let n(c) = 13*c - 91. Let q be n(7). Suppose q = -4*f + 3*f - 5*o + 408, 3*f = -4*o + 1224. Calculate the remainder when f is divided by 69.
63
Suppose 104*z - 101*z - 4*f = 70, -f = z - 21. What is the remainder when z is divided by 15?
7
Let f be 4/(7 - 3) - -1. Let g be (170/17)/(f + 0). Suppose w - g = 0, x - 5*w = -2*x + 8. What is the remainder when 62 is divided by x?
7
Suppose 2*v + 4*a - 28 = 2*a, -a = -3. Calculate the remainder when 148 is divided by (-2)/4*(-6 - 21 - v).
15
Let a = 6518 + -4179. What is the remainder when a is divided by 12?
11
Suppose 4*k - 2*s - 4 = 0, 33*k - s - 2 = 30*k. Suppose k = -8*r - 3 + 19. What is the remainder when ((-12)/14)/((-3)/21) is divided by r?
0
Suppose -2*y = q - 2098, -q - 123*y = -122*y - 2098. What is the remainder when q is divided by 149?
12
Let h(x) = 21*x**3 + x**2 - x. Calculate the remainder when (-443)/(-5) + ((-110)/25)/(-11) - -5 is divided by h(1).
10
Suppose 146*c - c = 4*c + 65565. What is the remainder when c is divided by 140?
45
Let d = -165 - -168. Suppose -4*h + 41 = -5*a - 24, 2*h = d*a + 33. What is the remainder when (-8)/(-6)*(-174)/(-4) is divided by h?
13
What is the remainder when (342/12 - 32)*(-70)/(-1 + 2) is divided by 62?
59
Let i be (-42)/(-56) + 1658/8. Let m = -194 + i. Calculate the remainder when 52 is divided by m.
10
Let g = -26 - -31. Let v(m) = 15*m**2 + 21*m + 39. What is the remainder when v(-2) is divided by g?
2
Let w be 2/5*(3 - -2). Suppose -w*a + 3*a = 2*s - 11, -2*a = -2. Calculate the remainder when -14*(-1 + 3/s) is divided by 2.
1
Let d(a) = 6*a**2 - 20*a + 1022. Calculate the remainder when d(17) is divided by 13.
11
Let w be 10*((-1)/8 + 0)*-4. Suppose 0 = -w*r + 300 - 265. What is the remainder when 194 is divided by r?
5
Let m = 115 + 109. Let x = 251 - m. What is the remainder when 213 is divided by x?
24
Suppose -198 - 570 = -64*l. What is the remainder when (-9)/((6/10)/(-3)) is divided by l?
9
What is the remainder when 7175/3 - (1/(-2) + (-203)/(-174)) is divided by 21?
18
Suppose -16*k + 4*k = -6*k - 1500. Calculate the remainder when k is divided by 114.
22
Suppose 24*s - 870 = -q + 28*s, 5*q + s - 4203 = 0. What is the remainder when q is divided by 839?
3
Let f(h) =