h - -7. What is the remainder when 57 is divided by z?
12
Suppose 0 = -b - 4*b + 990. Let k = 303 - b. Suppose c = -4*c + k. Calculate the remainder when c is divided by 6.
3
Suppose -6*y + y = 2*l - 67, 0 = y + 3*l - 3. Let i(s) = y*s**2 + 12*s - 14 - 6 - 7*s**2 - 9*s**2. Calculate the remainder when 19 is divided by i(8).
7
Let z = 4 - 4. Suppose 0 = -3*t - z*u + 3*u + 282, 0 = 5*u + 10. Suppose -5*k + t = -258. Calculate the remainder when k is divided by 18.
16
Let r = 202 + -194. Let n(s) be the first derivative of s**3/3 - 3*s**2/2 - 2*s + 1. Calculate the remainder when n(r) is divided by 10.
8
Let w(a) = -a**3 - 13*a**2 + 13*a - 2. Let i be w(-14). Suppose -343 = -i*r - 79. What is the remainder when r is divided by 5?
2
Let y(q) = 29*q - 34. Let i = -42 - -24. What is the remainder when y(3) is divided by (-320)/i - 2/(-9)?
17
Suppose 2*b - 59 = -51. What is the remainder when 24 is divided by b?
0
Suppose 157*d - 248 = 149*d. Calculate the remainder when 174 is divided by d.
19
Let k = 27 - 40. Let t(f) = f**3 + 13*f**2 + f + 18. Let c be t(k). Suppose -4*u = -c*j + 101, 3*u + 63 = 2*j + j. What is the remainder when j is divided by 7?
3
Suppose -3*u - 245 = -284. Let z = 81 + -38. Calculate the remainder when z is divided by u.
4
Let q = -2339 - -2403. What is the remainder when q is divided by ((-1)/2)/(2/(-68))?
13
Let w(p) = -12*p**2 - 3*p + 7. Let q(r) = r**3 - 12*r**2 - 2*r + 8. Let a(d) = -2*q(d) + 3*w(d). What is the remainder when a(-6) is divided by 12?
11
Let z = 3 - 0. Suppose 2*j = -3*a + 56, -j = z*j - 16. Suppose -5*c + 24 = -c. What is the remainder when a is divided by c?
4
Let k = -111 + 152. Suppose -f = 4*t - 655, -2*t + 203 + 135 = 4*f. What is the remainder when t is divided by k?
40
Let i = 40 + -43. Suppose 3*w = -3*t + 69, -4*t + 3*w - w + 98 = 0. Calculate the remainder when t is divided by 26/i*(-21)/14.
11
Let l = -32 + -13. Let p = 162 + l. What is the remainder when p is divided by 17?
15
Suppose p + 7 - 20 = 0. Suppose 3*d + l + 0*l = -49, -d + 2 = 4*l. Let z(j) = j**3 + 17*j**2 - 18*j + 21. Calculate the remainder when z(d) is divided by p.
8
Let w = 462 - 290. Calculate the remainder when w is divided by 48.
28
Suppose 5*k + 0*f = -f + 425, 243 = 3*k + 3*f. Calculate the remainder when k is divided by 1.
0
Let j = 209 - 164. Calculate the remainder when 207 is divided by j.
27
Suppose -4*s = d - 20, -4*s + 3*s = -d + 20. Suppose -9*z + 59 + 4 = 0. What is the remainder when d is divided by z?
6
Let x be (-5 - 0)*104/(-10). Let l = x - 22. What is the remainder when 89 is divided by l?
29
Suppose -10*f + 164 = 24. What is the remainder when 1*((-1 - -67) + 2) is divided by f?
12
Suppose 2 = j + 7, -5*j - 87 = -d. Calculate the remainder when d is divided by 17.
11
Let r(n) = -n**3 + 29*n + 141. Suppose 0 = -3*k + 6*k - 93. What is the remainder when r(-4) is divided by k?
27
Let s = 50 - -23. Let r(h) = -18*h. Calculate the remainder when s - (0 - (-4)/2) is divided by r(-1).
17
Let i(v) = -23*v + 497. Calculate the remainder when 866 is divided by i(21).
12
Let l(d) = -d**3 + 3*d**2 + 7*d - 11. Calculate the remainder when 38 is divided by l(3).
8
Suppose n - 44 = -3*o, -2*n + 5*o + 7 = -37. Let v(q) = 3*q**3 - q**2 - 3*q - 2. What is the remainder when v(3) is divided by n?
29
What is the remainder when 138/9 + 3/(-9)*-2 is divided by 11?
5
Suppose -2*f - 5*k = -0*f - 107, -f = -4*k - 47. Let l = f - 31. Let w(q) = 11*q**3 + q**2 - 1. What is the remainder when l is divided by w(1)?
9
Let v(i) = -136*i - 370. What is the remainder when v(-5) is divided by 52?
50
Let y = 0 + 12. Calculate the remainder when y is divided by 8.
4
Suppose -197 = -5*p + y - 0*y, 43 = p - 2*y. Let v be (2 - 5) + (-6)/2. Calculate the remainder when p is divided by 56/v*(-3)/2.
11
Suppose -11*x + 1562 = -0*x. Let t = x + -72. Calculate the remainder when t is divided by 9.
7
Suppose 611*g - 14252 = 583*g. Calculate the remainder when g is divided by 85.
84
Suppose 12 = 4*c - 0. Let q = 1174 + -1162. What is the remainder when q is divided by c?
0
Suppose 0 = 26*x + 269 - 1517. What is the remainder when 143 is divided by x?
47
Let h = -128 - -180. Calculate the remainder when 104 is divided by h.
0
Suppose 20 = -2*f + 7*f. Suppose -4*j + 3*w = -102, -f*w + w + 18 = j. Let u(x) = 95*x**3 + 2*x**2 - 2. What is the remainder when u(1) is divided by j?
23
Let d = 55 + -223. Let v be -3*2/3 + -239. Let t = d - v. What is the remainder when t is divided by 38?
35
Let h(i) = -8*i**3 - i**2 + 10*i + 6. Calculate the remainder when h(-2) is divided by 15.
1
Let l = 986 + -976. Calculate the remainder when 28 is divided by l.
8
Let j be 172/12 + (-2)/(-3). Suppose 0 = 4*r - r - j. What is the remainder when 8 is divided by r?
3
Let g(x) = 5*x - 11 - 3 - 1. Let j be g(10). What is the remainder when 101 is divided by (52/10)/(7/j)?
23
Suppose -2*r + 3*t + 35 = 0, 4*t + 3 = 3*t. What is the remainder when 17 is divided by r?
4
Let s be 3 - ((-6)/(-2) + -3). Suppose -p = -8 - s. Suppose -2*k - 1 = -p. Calculate the remainder when 22 is divided by k.
2
Let a be (21/(-49))/(2/(-14)). Suppose -a*r - 15 - 6 = 0. What is the remainder when 21 is divided by -2*((-308)/(-8))/r?
10
Let x(n) = -n + 82. What is the remainder when x(13) is divided by 12?
9
Let i(f) = -39*f**3 - f**2 + 1. Let d = -4 + 12. Let z(t) = t**2 - 8*t - 1. Let n be z(d). Calculate the remainder when i(n) is divided by 14.
11
Suppose -10*w + 5489 = 59. What is the remainder when w is divided by 34?
33
Suppose 2*q + 2*b - 188 = 0, -4*q - 811*b = -812*b - 381. Let a(k) = -3*k**3 - 4*k**2 - 2*k - 1. Calculate the remainder when q is divided by a(-3).
45
Let o(f) be the third derivative of f**6/120 - f**5/20 - f**4/6 + f**3 + 9*f**2. Suppose 26 = 3*h - 19. Calculate the remainder when h is divided by o(4).
3
Suppose 0 = s - 4, -3*s + 2*s - 8 = -4*y. Suppose -183 = -3*z + 5*d, y*z - 2*d + 0*d = 174. What is the remainder when z is divided by 22?
12
Suppose i + 220 = 4*r - 164, -i = 4*r - 392. What is the remainder when r is divided by 7?
6
Let b be 1 + -2 + 3 + 18. Let o(h) = 2*h - 25. Calculate the remainder when 27 is divided by o(b).
12
Let q = 29 - 4. Calculate the remainder when 115 is divided by q.
15
Let x(p) = 297*p + 6303. Let r(n) = n**3 + n**2 - 2*n. Let d be r(-2). Suppose 3*v + 2*v - 115 = d. What is the remainder when x(-21) is divided by v?
20
What is the remainder when ((-32)/(-5) + (-186)/31)*2170 is divided by 23?
17
Let l(g) = g**2 - 10*g + 9. Let z be l(9). Suppose -5*c + 88 = o, -67 = -o + 2*c - z*c. Let f = o + 1. Calculate the remainder when f is divided by 19.
17
Suppose -12*k + 32 = -8*k. Let j(z) = 10*z - 10. Calculate the remainder when j(k) is divided by 12.
10
Let u(l) be the second derivative of l**5/20 - l**4/6 - l**3/6 + l**2 + 7*l. Suppose 0 = t - 21 - 10. What is the remainder when t is divided by u(3)?
7
Let c(s) = -s + 3. Calculate the remainder when ((-10)/8)/(3 + (-654)/216) is divided by c(-5).
5
Let y = -46 + 69. Let r = -201 - -351. Suppose -9*s + r = 42. What is the remainder when y is divided by s?
11
Suppose -3*w - 24 = 0, 3*f + 4*w + 284 = 363. Calculate the remainder when (-550)/(-3) + 1/(-3) is divided by f.
35
Let x(j) = -10*j + 6. Let z(q) = -q - 1. Suppose -5*s - 3 = 2. Let r(h) = s*x(h) + 2*z(h). What is the remainder when r(8) is divided by 15?
11
Let v = 695 - 682. What is the remainder when 140 is divided by v?
10
What is the remainder when 77 is divided by (0 - 2)*(-1 + -4) + -4?
5
Suppose 4*r = -2*r - 144. Let u = -20 - r. Suppose 0*b = u*b - 268. Calculate the remainder when b is divided by 14.
11
Suppose 1 = 15*y - 164. What is the remainder when 31 is divided by y?
9
Let r(d) = d**2 + 14*d + 19. Let v(k) = k**3 - 5*k**2 + k. Let a be v(2). Let x = 32 + a. Calculate the remainder when x is divided by r(-13).
4
Suppose 168 = 30*u + 18. What is the remainder when 149 is divided by u?
4
Suppose 6*v + 496 = 10*v. Calculate the remainder when v is divided by 34.
22
Suppose -4*q - 19 = 4*h + q, -12 = 4*q. Let w be -1 + 3 - -6 - h. Let x(d) = 13*d. What is the remainder when x(w) is divided by 30?
27
Suppose 0 = -6*y - 16 + 4. Let w = 17 - y. Calculate the remainder when 54 is divided by w.
16
Let b = 737 - 704. Calculate t