s divided by t.
7
Let p = -21 + 23. Suppose p*x - 15 = -5*c, -x = 2*x + 4*c - 19. Calculate the remainder when 5 is divided by x.
0
Suppose -719 = -3*g - 5*l, -5*g - l - 168 + 1403 = 0. Calculate the remainder when g is divided by 84.
80
Let b(r) = 3 - 4*r**2 - r + 0*r**3 + 4*r**3 - r + 7*r**2. Calculate the remainder when b(2) is divided by 11.
10
Suppose 0 = -5*n + u + 34, n + 5*u - 33 = -3*n. Suppose 4*d + 159 = n. Let l = d - -64. Calculate the remainder when l is divided by 14.
12
Let m = 291 - 271. Calculate the remainder when 58 is divided by m.
18
Let r(z) = -4*z**3 + z**2 + z + 1. Suppose -49 + 29 = -5*g. Let t(x) = x + 15. What is the remainder when t(g) is divided by r(-1)?
4
Suppose 0 = 2*d + 4*t - 426, 0 = -3*d - t - 83 + 747. Let w = d + -29. What is the remainder when w is divided by 49?
47
Calculate the remainder when 36 is divided by (-1 - 17/(-7))/(1/7).
6
Suppose 0 = -3*b - b + 28. Suppose -b*m + 20 = -2*m. Suppose -5*r + 10 = -4*r. Calculate the remainder when r is divided by m.
2
Let k be (3/(-2))/((-4)/(-8)). What is the remainder when (k/6)/(10/(-1420)) is divided by 0 - (-21 + -2 + -1)?
23
Let v = 23 - 3. Suppose 93*o - 35*o = 3471 + 995. Calculate the remainder when o is divided by v.
17
Let f = 119 - 77. What is the remainder when 75 is divided by f?
33
Suppose -5*d + 31 = -69. Suppose 19*f = 14*f + d. Suppose v = f*v - 36. What is the remainder when 35 is divided by v?
11
Suppose 4999 = 86*v - 75. Suppose -3*u - 2*u = -80. Calculate the remainder when v is divided by u.
11
Let p(q) = 5*q**2 + 3*q + 7. Let m(k) = -k**2 - k - 1. Let i(v) = 4*m(v) + p(v). Calculate the remainder when 42 is divided by i(4).
12
Let y(u) = u**2 + 18*u + 162. What is the remainder when y(-35) is divided by 11?
9
Suppose 9*x = 16*x - 14. Suppose 3*q + 5*a - 4*a = 46, 0 = q - x*a - 13. What is the remainder when q is divided by 14*(-2 + (-10)/(-4))?
1
Let z = -618 + 737. Calculate the remainder when z is divided by 8.
7
Let g = -60 + 78. Let a(q) = -6*q + 4. What is the remainder when a(-8) is divided by g?
16
Suppose 6*y = 4*y + 16. Suppose -u - 4 + 9 = 0. What is the remainder when y is divided by u?
3
Suppose 0 = -9*t + 41 + 220. Suppose 0 = -2*q + 12 - 110. What is the remainder when t is divided by q/(-6) - (-1)/(-6)?
5
Let k = 93 + -134. Let m = k + 54. What is the remainder when 23 is divided by m?
10
Let j(w) = w + 15. Let h = -70 + 65. What is the remainder when j(h) is divided by (-1 - -7) + -2 + 0?
2
Let o(b) = b**2 - b - 3. Let j = 3 + -5. Let a = 59 - 58. Calculate the remainder when o(j) is divided by a.
0
Let s(v) = -2*v**2 - 11*v + 3. Let l be s(-6). Let r = 9 - 5. Calculate the remainder when 1/l + (-22)/(-3) is divided by r.
3
Let v(w) = w**3 - 6*w**2 - 8*w + 9. Let p be ((2 - 2)*1)/(-2) + 7. What is the remainder when 5 is divided by v(p)?
1
Suppose 4 + 3 = -2*a + v, -5*a + 5*v - 5 = 0. Let g = 9 + a. Suppose -44*j + 46*j - 20 = 0. Calculate the remainder when j is divided by g.
1
Suppose -f + 9 = -18. What is the remainder when f is divided by 3 + (-40)/15 - (-140)/21?
6
Let z(p) = -p**3 - 8*p**2 - 13*p - 9. Let o be z(-8). Let s = o + -67. Calculate the remainder when 109 is divided by s.
25
Suppose -8*o + 6*o = -76. Let c(b) = -18*b + 7. Calculate the remainder when c(-8) is divided by o.
37
Let h(u) = u - 6. Let m be h(6). Suppose m*n - 11*n + 1859 = 0. What is the remainder when n is divided by 17?
16
Suppose 1 - 19 = -3*t. Suppose t*x = 2*x - 8, -j + 52 = -x. Let g = 25 - 8. What is the remainder when j is divided by g?
16
Suppose -5*b = 3*d - 142, 3*d + 17 - 29 = 0. Calculate the remainder when 1271 is divided by b.
23
Let j = 3 - 13. Let l(k) = -5*k**2 + 71*k + 35. Let c be l(15). Let t = j - c. Calculate the remainder when 44 is divided by t.
14
Let s(w) = 2*w + 64 + w - 2*w + w. What is the remainder when s(0) is divided by 33?
31
Let j = -3406 + 3423. Suppose -2*i + 0*b + 26 = -3*b, -4*b + 42 = 5*i. What is the remainder when j is divided by i?
7
Suppose 21 = 6*p - 51. Suppose 2*r - 54 = -p. What is the remainder when 98 is divided by r?
14
Let p(x) = -3*x**2 - 17. Let l be p(-11). Let k = -265 - l. Calculate the remainder when k is divided by 39.
37
Let q(g) = -g - 9. Let c be q(-7). What is the remainder when (-80)/(-30)*(266/4 + c) is divided by 29?
27
Let a(j) = -8*j**2 + 8*j**2 - 8*j**2 + j**3 + 0*j**3 + 9. What is the remainder when 16 is divided by a(8)?
7
Let d(j) = -2*j**2 - 32*j - 87. Calculate the remainder when 275 is divided by d(-12).
5
What is the remainder when 1 - (3 + -3)/5 - -261 is divided by 16?
6
Suppose 8*f = f + 980. Calculate the remainder when f is divided by 45.
5
Suppose 3*h + 2*h - 2*g + 35 = 0, 4*h - 2*g = -26. Let x be (-2)/5 - 262/(-5). Let w = h + x. Calculate the remainder when w is divided by 15.
13
Suppose 24 = 2*r - 0. Suppose 6*k + 52 - 76 = 0. Calculate the remainder when r is divided by k.
0
Suppose 0 = -4*d, -3*h - 2*d + 12 = -7*d. Suppose 6*u = h*u + 8. Suppose -2*f + g = -18, 6*g = -u*f + g + 8. What is the remainder when f is divided by 5?
2
Let l = 479 + -418. Calculate the remainder when 178 is divided by l.
56
Let a(j) = -j**3 + 7*j**2 - 8*j + 10. What is the remainder when 56 is divided by a(5)?
16
Let k be 179/(-2) + (-3)/2. Let i = k - -163. Let x = -144 - -159. What is the remainder when i is divided by x?
12
Let h(u) = 4*u**3 - u**2 + 2*u - 3. Let v = 70 - 68. What is the remainder when 110 is divided by h(v)?
23
Let u(c) = 129*c. Suppose -3116 = -75*p - 641. Calculate the remainder when u(1) is divided by p.
30
Let y(t) = 19*t**3 - t**2 + 1. Suppose 0 = -w + 2*w - 20. Let k = 30 - w. What is the remainder when y(1) is divided by k?
9
Let d(x) be the second derivative of x**5/20 + 2*x**4/3 + 4*x**3/3 + 11*x**2/2 + 2*x. What is the remainder when 11 is divided by d(-7)?
3
Let j be -2*213/6 + 2. Suppose -7*s + s - 18 = 0, -n - s + 3 = 0. Calculate the remainder when (-1)/(210/j - -3) is divided by n.
5
Suppose -83*b + 63*b + 640 = 0. What is the remainder when 187 is divided by b?
27
Suppose -i = -7 + 2. Suppose -6*s = -2*o - 3*s + 58, 3*o - i*s = 85. Calculate the remainder when o is divided by 12.
11
Suppose -18*f + 122 = -166. What is the remainder when f is divided by 10?
6
Let g = 21 - 11. Calculate the remainder when 23 is divided by (-33)/(-4) - g/40.
7
Suppose -8 = -0*x - 2*x. Suppose 5*j + 160 = 5*p, -x*j + 2*p + 66 - 196 = 0. Let n = -17 - j. What is the remainder when 29 is divided by n?
13
Let j(h) = h**3 - 3*h**2 + 5*h + 7. Let l(a) = 4*a**3 - 10*a**2 + 15*a + 21. Let v(i) = 7*j(i) - 2*l(i). What is the remainder when v(-6) is divided by 32?
29
Let u = -404 - -433. Calculate the remainder when u is divided by 19.
10
Let d(s) = 5*s**2 + s + 1. Let x(o) = o**3 - 14*o**2 + 16*o + 16. Let j be x(13). Let l = j - 45. Calculate the remainder when d(-2) is divided by l.
9
Suppose -z = 46 - 53. Suppose 4*n - 173 + 37 = 0. Suppose -2*i = -2*k + n, k - 6*k + 2*i = -88. Calculate the remainder when k is divided by z.
4
Let p(o) = 28*o**2 + 8*o - 34. Calculate the remainder when p(4) is divided by 18.
14
Suppose r + 46 = 5*v, 2 - 1 = -r. What is the remainder when 26 is divided by v?
8
Let k = 83 + 104. Let f = -149 + k. What is the remainder when 225 is divided by f?
35
Let d(w) be the third derivative of -1/15*w**5 + w**2 + 0 + 1/120*w**6 + 0*w - 1/12*w**4 - 1/6*w**3. Calculate the remainder when d(5) is divided by 8.
6
Let x(n) = n**3 - 5*n**2 + 3*n + 2. Suppose -5*r - m - 8 = -34, 4*r + m - 21 = 0. Let s = 104 + -55. Calculate the remainder when s is divided by x(r).
15
Let v(c) = -c**2 + 4*c - 3. Let n be v(3). Suppose -g + 2*g + 2 = n. What is the remainder when (-412)/(-20) - g/5 is divided by 12?
9
What is the remainder when 56 is divided by -1 - (-13 - -7)/((-2)/(-10))?
27
Suppose 2*y - 5*y - 11 = -b, -2*y = 2*b + 2. Suppose 5*t - 42 = -b*t. Calculate the remainder when 9 is divided by t.
3
Suppose 140*a - 155*a + 1305 = 0. What is the remainder when a is divided by 68?
19
Suppose -5*y - 134 + 999 = 0. Suppose 82 = 2*b - 568*u + 566*u, -3 = -u. What is the remainder when y is divided by b?
41
Suppose 3*t + 71 = -4*q - 21, -2*t - 68 = 3*q. Let l = 13 - q. What is the remainder when 97 is divided by l?
31
Let p(b) = -12*b + 11. What is the remainder w