ainder when 129 is divided by b?
30
Let z(p) be the first derivative of 4*p**3/3 + 2*p**2 + 2*p + 5. Let w be z(-17). What is the remainder when w/17 - (-2)/(-17) is divided by 13?
12
Suppose 81 + 335 = 26*x. Calculate the remainder when 55 is divided by x.
7
Let r be -18*((-8)/12 + 0). Let x = r + -9. Let a = 5 - x. Calculate the remainder when 2 is divided by a.
0
Suppose 3*m + 0*m - 42 = a, -21 = -m - 2*a. What is the remainder when (-2)/(-10)*0 + 54 is divided by m?
9
Let s(x) = -7*x + 4. Let l be s(4). Let r = 51 + l. Let p = -4 + 18. Calculate the remainder when r is divided by p.
13
Suppose 3*l - 91 + 22 = 0. Suppose 0 = -3*b + b + 18. Calculate the remainder when l is divided by b - (4 - 4 - 4).
10
Suppose 2*u - 33 = b, -3*u + 51 = -4*b - 11. Suppose -688 + 529 = -3*n. What is the remainder when n is divided by u?
11
Suppose -10*a = 6*a - 2496. Calculate the remainder when a is divided by 23.
18
Let r be 2/(-6) + 2/(-3) + 46. Suppose -r = -11*m + 6*m. Calculate the remainder when m is divided by 2.
1
Suppose 10*m = 5*m + 50. Calculate the remainder when 79 is divided by m.
9
Let j(c) = c**3 - 4*c**2 - 16*c + 7. Let d(k) = 115*k**2 + 2*k - 1. Let y be d(1). Suppose 5*q = -1 + y. What is the remainder when j(7) is divided by q?
19
Let m = 2073 + -2036. What is the remainder when 172 is divided by m?
24
Let t(u) = -11*u**2 - 7*u. Let v(y) = -10*y**2 - 6*y. Let x(h) = 3*t(h) - 4*v(h). Suppose 36*j - 152 = 17*j. What is the remainder when x(-2) is divided by j?
6
Suppose 7*r - 2680 = -3*r. What is the remainder when r is divided by 15?
13
Let w(l) = 2*l**3 + 17*l**2 - 118*l + 5. Let q = 103 - 58. Suppose -5*z = -q - 5. What is the remainder when w(-13) is divided by z?
8
Suppose 6*j - j - 5 = 0, 335 = 4*t - 5*j. Suppose 0 = -0*h - 5*h - m + 141, h - 5*m - 49 = 0. Calculate the remainder when t is divided by h.
27
Let m(f) = -f**3 - 3*f**2 - f. Let j be m(-3). Suppose v + 79 = 4*o, j*o - 2*v = v + 66. What is the remainder when o is divided by (-1 - -1*5) + 1?
4
Let m be ((-16)/(-6))/(10/1785). Let k = -34 + m. Suppose 5*l - 4*i = k, -2*l + 2*i - 274 = -5*l. Calculate the remainder when l is divided by 23.
21
Let m = 92 + -62. Let i = -3 - 3. Let t = 10 - i. Calculate the remainder when m is divided by t.
14
Let m(b) = 5*b**2 + 5*b - 147. What is the remainder when m(-13) is divided by 91?
87
Suppose -2*g + 59 = -3*a, -44*g = -40*g - a - 133. What is the remainder when g is divided by 31?
3
Suppose -5*g + g + 11 = -3*b, -b - 17 = -4*g. Suppose 0 = -3*p - 5*v - 41, -4*p - p - 4*v - 64 = 0. What is the remainder when 4 - 1 - (p + g) is divided by 4?
2
What is the remainder when 69 is divided by 48/(-84) - 568/(-14)?
29
Let t(y) = y**3 - 28*y**2 + 32*y - 75. What is the remainder when t(27) is divided by 22?
16
Let m = 27 + 123. Suppose 5*r - 200 = -5*c, 0*c + m = 4*c + 2*r. Suppose -24 = -5*l + 21. What is the remainder when c is divided by l?
8
Suppose -7*b + 149 = 65. Calculate the remainder when 238 is divided by b.
10
Let i = 388 - -336. What is the remainder when i is divided by 25?
24
Let o = 42 + -22. Suppose -c = -5*x, -2*x - 3*c - 12 = -c. Calculate the remainder when x - (-60 - (2 + -2)) is divided by o.
19
Let o = 198 + -192. Suppose n = -5*z - 9, -z = -5*n + 4*z - 135. Let w = -9 - n. Calculate the remainder when w is divided by o.
3
Let i = -131 - -140. Calculate the remainder when 78 is divided by i.
6
Suppose -370 = -3*i - 7*i. Suppose i*n - 42 = 34*n. Calculate the remainder when 52 is divided by n.
10
What is the remainder when 295 is divided by (-2)/((2/(-6))/((-924)/(-63)))?
31
Let u = -927 - -968. What is the remainder when 230 is divided by u?
25
Let t(a) = -11*a - 10. Suppose -13*g + 3192 = 6*g. Calculate the remainder when g is divided by t(-4).
32
Suppose s - d - 57 = 0, -9*s = -4*s + d - 291. Let f = -35 + s. What is the remainder when f is divided by (12/7)/(2/14)?
11
Suppose 9*j = 10*j + 25. Calculate the remainder when (1 - j)*1/2 is divided by 3.
1
Let i be 101/2 + (3/2)/3. Let a = 57 - i. What is the remainder when 11 is divided by a?
5
Let p(l) = 2*l + 1. Let h be p(2). Suppose 3*j + j = h*o + 63, 0 = 2*j + 3*o - 15. Calculate the remainder when 6612/190 - 2/(-10) is divided by j.
11
Let d = 138 - 90. Let l = d - 15. What is the remainder when l is divided by 18?
15
Suppose -3*x - 78 = -276. Let m(c) = 4*c + 25. Calculate the remainder when x is divided by m(-2).
15
Let t(y) = -2*y - 20. Let a(g) = 3*g + 23. Let n(j) = -4*a(j) - 5*t(j). Let f = 0 + -6. Calculate the remainder when n(f) is divided by 7.
6
Suppose -4*l - 39 = -307. Suppose 0 = -5*z + 162 - 47. Calculate the remainder when l is divided by z.
21
Let z = 187 + -187. Suppose 4*s = s + 6, z = 4*y + 2*s - 224. What is the remainder when y is divided by 1 - (-1 - (1 + 12))?
10
Let t(b) = b - 5. Let i be t(3). Let s(k) = -13*k - 2. Suppose -70 = -4*q - q. Calculate the remainder when s(i) is divided by q.
10
Let z = 82 - 45. Suppose z = v - 5*f, v + v - 5*f = 49. Let s = 27 + -5. Calculate the remainder when s is divided by v.
10
Suppose -2*w + 334 = -2*q, 2*q - 5*q + 171 = w. What is the remainder when w is divided by 45?
33
Let y = -55 - -64. Calculate the remainder when 53 is divided by (-12)/y*27/(-2).
17
Let k(c) be the second derivative of -c**5/20 + c**3/6 - 11*c**2/2 - 5*c. Let b be k(0). Let f = -5 - b. Calculate the remainder when 9 is divided by f.
3
Let q = -428 + 438. Calculate the remainder when 98 is divided by q.
8
Suppose -2*l + l + 4*b = -18, 28 = 3*l + b. What is the remainder when 43 is divided by l?
3
Suppose -90*z + 4740 = -78*z. Calculate the remainder when z is divided by 21.
17
Let k = -23 - -32. Let v be (-1)/2 + k/(-2). Let c = v + 13. What is the remainder when 31 is divided by c?
7
Suppose 15 + 8 = 3*f + 2*g, -5*g = 2*f - 8. Calculate the remainder when f is divided by 6.
3
Suppose 5 = 5*x - 4*x. Suppose 14 - 29 = 5*p + 5*t, 4*p = -3*t - 10. What is the remainder when (p + x)*(-99)/(-18) is divided by 8?
6
Let j be 1*(2 + 1) - 3. Suppose j = z - 1 - 1. What is the remainder when 53 is divided by z/(-10) - 273/(-15)?
17
Suppose 0 = -6*l - 16*l + 1100. What is the remainder when l is divided by 13?
11
Calculate the remainder when 83 is divided by (-3 + 103)/((3 - -4) + -5).
33
Suppose -3*w + 288 = w. Suppose 3*q + 2*n + 7 = 103, -2*q + w = 4*n. What is the remainder when q is divided by 18?
12
Let p(f) = f**3 + f**2 + 5*f + f**2 - 4*f**2 - 3*f. Let u(j) = -2*j + 9. What is the remainder when u(-3) is divided by p(2)?
3
Let x be 23 + -2*(-2 + 1). Calculate the remainder when 8 is divided by 75/(-6)*(-10)/x.
3
Let o(i) be the first derivative of 2*i**3/3 + 5*i**2/2 + i - 6. What is the remainder when 4 + 4/((-8)/(-90)) is divided by o(-4)?
10
Let r = -55 - -51. Let z(k) = -3*k - 7 - 2*k - 3 + 4*k**2. Calculate the remainder when z(r) is divided by 25.
24
Suppose -8*v + 96 = -24. What is the remainder when v is divided by 8?
7
Let o be ((-66)/(-8))/(-11)*-4. What is the remainder when 24 is divided by 1/(333/(-48) + o + 4)?
8
Suppose 10 = 2*v, 2*i - i + 5*v - 53 = 0. Calculate the remainder when i is divided by 10.
8
What is the remainder when 157 is divided by (1*12)/(-5 + 7) - -10?
13
Let r(a) = 12*a**2 + a. Let t = 2 - 3. Let s be r(t). Let c = -3 + s. Calculate the remainder when 23 is divided by c.
7
Let j(g) = -g**3 + 2*g**2 + 3*g + 4. Let o = 9 + -6. Let z be j(o). Suppose z*f = 12, -5*m - 7 = -2*f - 21. What is the remainder when 15 is divided by m?
3
Suppose -4*i + 16 = 0, 0 = 63*p - 60*p + 2*i - 173. What is the remainder when p is divided by 26?
3
Let j(g) = -5*g + 1. Suppose 0 = 3*w - 2*b - 62, -2*w + 48 = -3*b + 5*b. Suppose -15 = f - 4*f, 5*f = t + w. Calculate the remainder when j(-2) is divided by t.
2
Let w = -277 - -357. What is the remainder when 228 is divided by w?
68
Suppose -4*o = 2*y - 68, o = -32*y + 30*y + 11. What is the remainder when 2 + -2 - 4*-13 is divided by o?
14
Let w(p) = p**3 + 9*p**2 + 10. Let l be w(-8). Let i = -61 + l. Suppose -f + 4*q = -3 + 11, 5*f = 2*q + 14. Calculate the remainder when i is divided by f.
1
Let b(p) = -p**3 + 7*p**2 - 6*p - 3. Let k be -2*(-1)/((-2)/(-11)). Let f = 20 - k. Calculate the remainder when b(5) is divided by f.
8
Suppose -8*j + 10 + 78 = 0. Suppose p - j 