by 20.
17
Let v = -7 + 10. Suppose 5*y = v*t + 9, y + 0*t - 1 = t. Let u = 17 - y. What is the remainder when u is divided by 5?
4
Let p(w) = 8*w**2 + 55*w - 7. Let d(b) = 4*b**2 + 28*b - 4. Let q(m) = 5*d(m) - 3*p(m). What is the remainder when 75 is divided by q(-5)?
23
Let t be 19 + 9/((-3)/1). Let h = 5 + 7. Calculate the remainder when 732/t - (-15)/(-20) is divided by h.
9
Let p(u) = -u**2 + 36*u - 131. What is the remainder when p(29) is divided by 26?
20
Let z(m) = 2*m**2 - 9*m + 72. Calculate the remainder when z(6) is divided by 14.
6
Suppose 0 = 5*z + 3*a - 130, 2*z - 108 = 3*a - 35. What is the remainder when z is divided by (56/(-35))/((2/(-14))/((-70)/(-49)))?
13
What is the remainder when 4/10 - (-18326)/110 is divided by 40?
7
Suppose 4*x = -7*a + 5*a + 302, a = 5*x - 367. What is the remainder when x is divided by 13?
9
Let f = -1648 - -1774. What is the remainder when f is divided by 44?
38
Let h(o) = -5*o**2 - 142*o + 12. What is the remainder when h(-28) is divided by 37?
31
Let n = -419 + 450. Calculate the remainder when 219 is divided by n.
2
Let u be (1 - (-4)/12)/(1/(-3)). What is the remainder when 29 - 1 - (1 + 0) is divided by (-5)/((-10)/u) + 17?
12
Let x = 137 - -2. Suppose -r + x + 1 = 0. What is the remainder when r is divided by 47?
46
Suppose 0 = -5*x + 3*l + 508, 5*x = 3*l - l + 512. Calculate the remainder when 141 is divided by x.
37
Let z be 82 - 0 - (-8 + 12). What is the remainder when 23 is divided by (-4)/6 - z/(-9)?
7
What is the remainder when (3 + -10 - 178)*-4 is divided by 53?
51
Let j(l) = -l**2 + 16*l + 280. What is the remainder when j(-8) is divided by 7?
4
Suppose -8*g + 300 = -4*g. Suppose -5*o + 4*a = -g, -o + 5*a = -4 + 10. What is the remainder when 75 is divided by o?
18
Let p = -2428 - -2463. What is the remainder when 226 is divided by p?
16
Let s(o) = -14*o - 171. Calculate the remainder when s(-26) is divided by 15.
13
Let o(y) = 4*y + 13. Let l(m) = 56 + 4*m - 2*m - 55. Let z be l(6). Calculate the remainder when o(z) is divided by 23.
19
Let p(t) be the third derivative of -t**5/60 + 5*t**4/12 + t**3/2 + 2*t**2. Calculate the remainder when 93 is divided by p(3).
21
Let h = 6 + -1. Suppose g + h = 9. What is the remainder when 12 is divided by g?
0
Let c(g) = -2*g**3 + 10*g**2 + 10*g + 23. Calculate the remainder when 71 is divided by c(6).
5
Let y = 93 - 61. Let g = -10 - -25. Suppose -g = z - 22. What is the remainder when y is divided by z?
4
Suppose 0*v + 2*v = 2. Suppose -3 = 3*b - 12, 0 = -5*m - 2*b + 46. Suppose -5*a = -a - m. Calculate the remainder when a is divided by v.
0
Let j be ((-24)/(-18))/((-2)/(-303)). Suppose -6*u + 632 + j = 0. Calculate the remainder when u is divided by 37.
28
Let n = 1 + 3. Suppose v - 40 = 2*x, v - n*x = 68 - 24. Calculate the remainder when v/(-3)*7/(-2) is divided by 15.
12
Let k(j) = 14*j**2 + 3 + 0 - 15*j**2 - 5*j. Let q be k(-5). Let h(n) = 8*n**2 - 3*n + 3. What is the remainder when h(q) is divided by 17?
15
Suppose -77 = -3*j - 4*r, -157*r + 107 = 4*j - 156*r. Let n = -4 - -10. Calculate the remainder when j is divided by n.
3
Suppose -76*x = -674 - 23570. Calculate the remainder when x is divided by 114.
91
Suppose 0 = 12*s - 390 - 1806. Calculate the remainder when s is divided by 21.
15
Let s(g) = -37*g - 108. What is the remainder when 118 is divided by s(-4)?
38
Let i be ((-2)/(-6))/(1/(-3)). Let t be -1229*(-1)/i - 4. Calculate the remainder when (-2)/5 + t/(-45) is divided by 14.
13
Let p(r) = -18*r - 70. What is the remainder when p(-7) is divided by 13?
4
Suppose 204 - 61 = 11*n. Let u = -9 + 16. Calculate the remainder when n is divided by u.
6
Suppose 92 = -q + 5*q. Let n = -16 + 18. Suppose 37 + 49 = n*f. Calculate the remainder when f is divided by q.
20
Calculate the remainder when (-72)/((-60)/24 + 2 + 0) is divided by 5.
4
Let x be 2/5 - (-443)/5. Suppose 4*n - x = -29. Suppose 3*s + 3 = n. What is the remainder when 12 is divided by s?
0
Let c = -1638 + 1707. What is the remainder when c is divided by 29?
11
Let a = 5 + 0. Let m be 4 + (2 + 1 - 3). Suppose 0 = a*u - m - 6. What is the remainder when 3 is divided by u?
1
Let w(r) = 25*r**2 - 6*r + 17. Let b be w(3). Suppose -3*i = -3*z - 2*i + 229, 3*z + 4*i = b. Calculate the remainder when z is divided by 39.
37
Let y = 53 + -31. Let b = 44 - 47. Calculate the remainder when y is divided by -6*(b + (-1)/(-1)).
10
Let r(f) = -6*f - 15. What is the remainder when 189 is divided by r(-11)?
36
Suppose -22*y + 25*y = 231. Calculate the remainder when y is divided by 8.
5
Suppose -i - 15 = -6*i. Suppose -3*j + 5*j = 16. Suppose m + 1 = 2*u + 3, -j = 4*u - i*m. What is the remainder when 3 is divided by u?
0
Let m = 1097 + -1094. Calculate the remainder when 75 is divided by m.
0
Suppose -s = -2 - 7. Let w(v) = v**3 - 9*v**2 + 4*v - 5. Calculate the remainder when w(s) is divided by 9.
4
Let o = -7 - -10. Suppose -2*w - 2*c - 12 = -4*w, -29 = -4*w + o*c. Calculate the remainder when 21 is divided by w.
10
Calculate the remainder when 53/9*-3*(-9 - 12) is divided by 120.
11
What is the remainder when (-809)/(-6) + 70/420 is divided by (-1)/2*-1*34?
16
Let b be (-4)/(-7)*(-7)/(-2). Suppose -44*w + 36 = -35*w. Calculate the remainder when (-380)/(-25) - b/10 is divided by w.
3
Let h(s) = 4*s - 28. What is the remainder when 1775 is divided by h(12)?
15
Let w(t) = 6*t**2 + 6*t + 3. What is the remainder when w(-4) is divided by (-30)/75 + (-204)/(-10)?
15
Suppose 16*n - 13*n + 9 = 0. Let p = n + 28. Calculate the remainder when p is divided by 15.
10
Let j = -22 + 20. Let r = 7 + j. Suppose r*z - 145 = -0*z. Calculate the remainder when z is divided by 10.
9
Let p(y) = 2*y**2 - 33*y + 15. What is the remainder when 542 is divided by p(19)?
102
What is the remainder when 101 is divided by 8/10 - 1539/(-45)?
31
Let i(s) = -s**3 + s**2 + s. Let z be i(2). What is the remainder when (369/(-12) - z)/((-2)/8) is divided by 9?
7
Suppose -6 = -4*d + 7*d + 3*w, -4*d = 2*w. Let v(p) = 10*p - 9. What is the remainder when v(2) is divided by d?
1
Suppose -835 + 65 = 10*w. Calculate the remainder when 53 is divided by (786/14)/3 + (-22)/w.
15
Let y(d) = -d**3 - 9*d**2 - 12*d - 1. Let m = -361 - -372. What is the remainder when y(-8) is divided by m?
9
Suppose 0 = -3*p - 774 + 972. What is the remainder when 125 is divided by p?
59
Suppose -1 + 25 = 2*t. Let c = t + -18. Calculate the remainder when c/27 - (-695)/9 is divided by 20.
17
Suppose -3*f + 152 = r - 0*r, 0 = 5*f - 5*r - 260. What is the remainder when 163 is divided by f?
10
Let d(g) = g**2 - 4*g + 14. What is the remainder when d(10) is divided by 35?
4
Let r be (9/15)/((-3)/(-15)). Suppose 4 = -d - d, r*o - 3*d = 42. Let s(l) = 32*l**2 + l. What is the remainder when s(1) is divided by o?
9
Let z be (-819)/(-12) - (-3)/4. Suppose 0 = -5*f + z - 19. Calculate the remainder when 26 is divided by f.
6
Let d = -755 + 811. Calculate the remainder when d is divided by 27.
2
Let n(i) = -16*i - 14. Let r be n(-10). Let k = r + -93. Suppose -4*b - x = -k, -3*b + 43 = -5*x + 9. Calculate the remainder when b is divided by 8.
5
Let c(u) = -u**3 + 8*u**2 - 15*u + 21. Let o be c(6). What is the remainder when 55 is divided by (-96)/(-20)*10/o?
7
Let g = 4 - 5. Let d = 2 - g. Calculate the remainder when 12 - (0/d)/(-2) is divided by 7.
5
Suppose 2*a - 2*g + 16 = 0, -2*g = 3*a - 4*g + 23. Let x(n) = 2*n**2 + 9*n - 8. Suppose 4*i - 19 = 41. What is the remainder when x(a) is divided by i?
12
Suppose -329 = -14*u + 7*u. Let w = -42 + u. Calculate the remainder when 8 is divided by w.
3
Suppose -70*k + 73*k = 171. Calculate the remainder when k is divided by 9.
3
Let m(u) = -u**3 - 2*u**2 - 6*u - 6. Let o be m(-4). Suppose 2*s = 7*s - o. Let a = -3 + 22. What is the remainder when a is divided by s?
9
Let c = 150 + -131. Calculate the remainder when c is divided by 9.
1
Calculate the remainder when 59 is divided by (-176)/(-72) - 32/72.
1
Let q(j) be the first derivative of j**3/3 + 3*j**2/2 + 5*j - 1. Let n be q(-6). Let g = n - 14. What is the remainder when 15 is divided by g?
6
Suppose 2*q = 4*p - 2*p - 10, 0 = -4*p - q + 5. Suppose p*n - n - 342 = -5*o, 2*n + 6 = 0. Calculate the remainder when o is divided by 35.
34
Let c = 9 - 16. L