ate the remainder when 7 is divided by s.
2
Suppose -3*v = 3*q - 42, 9 = -7*q + 10*q. Suppose v*l + 180 = 16*l. What is the remainder when l is divided by 14?
8
Calculate the remainder when (8/10)/(-17 + (-7401)/(-435)) is divided by 28.
2
Let z(h) = 193*h - 22. Calculate the remainder when z(4) is divided by 94.
92
Let y(h) = h**3 + 4*h**2 - 6*h - 3. What is the remainder when (-75)/(-1) + (20 - 33) is divided by y(-4)?
20
Let i(d) = d**3 - 8*d**2 + 4*d - 5. Suppose -26*j + 2651 - 571 = 0. Calculate the remainder when j is divided by i(8).
26
Let x(k) = -2*k**3 + k**2 + 3*k - 3. Let u be x(2). Let a be u/(-5)*(-4 + 9). Suppose 0 = -j + a + 5. What is the remainder when 27 is divided by j?
13
Calculate the remainder when 3 + ((-364)/65)/((-3)/90) is divided by 52.
15
Let g(p) be the third derivative of 1/24*p**4 + 0*p + 4*p**2 + 0 - 1/2*p**3 + 1/60*p**5. What is the remainder when 26 is divided by g(-4)?
8
Let w = -8 - -11. Calculate the remainder when 53 is divided by w/2*3*44/18.
9
Suppose -67 + 32 = -n. Let r(w) = -w**3 - 2*w - 2. Calculate the remainder when n is divided by r(-2).
5
Let q(g) = -5*g**3 - 2*g**2 + 2*g + 3. Suppose t + 5*p - 23 = 0, t = -2*t - 3*p + 9. What is the remainder when 91 is divided by q(t)?
29
Suppose -6*v + v - 34 = 3*u, v = -5*u - 20. Let y(z) = -z**3 - 4*z**2 - 6*z - 10. What is the remainder when y(v) is divided by 4?
1
Let b = -909 - -1035. What is the remainder when b is divided by 70?
56
Let y(g) = -3*g + 17. Let k be y(5). Suppose k*w + 16 = 4*w. Calculate the remainder when 21 is divided by w/(0 + 8/12).
9
Let i = -16 - -29. Let h(r) = -r - 10. Let v be h(-2). Let s = v + i. Calculate the remainder when 12 is divided by s.
2
Suppose -9*i - 77 = -248. Calculate the remainder when 224 is divided by i.
15
Suppose 216 = -0*y + 2*y. Let q(r) = r**3 - r**2 - 3. Let s be q(3). Suppose 0 = -14*m + s*m - 22. What is the remainder when y is divided by m?
20
Suppose 2*s + 3*s = 30. Suppose -g = s - 10. What is the remainder when g is divided by 3?
1
Suppose -3*g = -4*s - 42 + 1, -g + s + 12 = 0. What is the remainder when 242 is divided by g?
4
Let b = 26 - -2. Calculate the remainder when 7 is divided by 20/(-30) + b/6.
3
Let k be (-4)/((1 - -5)/(-3)). Let o(v) = v**2 - 2*v + 2. Let h be o(k). Suppose 132 = 4*f - h*f. Calculate the remainder when f is divided by 17.
15
Suppose l - 4*l + 834 = 0. Suppose 4*d - 198 = l. What is the remainder when d is divided by 20?
19
Let m(b) = 52*b**2 - b + 2. What is the remainder when 210 is divided by m(-1)?
45
Suppose 5*x = -a + 7355, -3*x + 2*a + 4415 = 3*a. Calculate the remainder when x is divided by 46.
44
Let u be 0 + 0 - 9/(-3). Let h be 20*(u - (-36)/(-20)). Suppose 0 = -4*j + 28 + h. What is the remainder when 63 is divided by j?
11
Suppose -4*o = -20, 0 = 4*x + 2*o - 212 - 126. Let g = -67 + x. Let s = -6 + 12. Calculate the remainder when g is divided by s.
3
Suppose -3*s + t - 3*t = -5827, -2*s - t + 3886 = 0. Calculate the remainder when s is divided by 33.
31
Let g be (-2 + 2 - 20)*-1. Let p = -11 + g. Suppose p*h = 12*h - 150. Calculate the remainder when h is divided by 17.
16
Let n(p) = 6*p + 1. Let s be 122/6 + 12/18. Suppose 3*g - 6*g = -s. Calculate the remainder when n(g) is divided by 15.
13
Let l(h) = -h**2 + 38*h + 14. What is the remainder when 153 is divided by l(38)?
13
Let r = 1 - -4. Suppose -r*v - 200 = -4*k, 3*k - 91 = -4*v + 28. Suppose -3*d + 9 = -k. Calculate the remainder when 35 is divided by d.
17
Suppose 2*r - 3*r = -51. Let b = r - 34. What is the remainder when b is divided by 5?
2
Let b = 156 - -2. Calculate the remainder when b is divided by 54.
50
Suppose -b + 863 = 5*r - 171, -5*b = -20. Calculate the remainder when r is divided by 11 + (-15)/(75/10).
8
What is the remainder when ((-1686)/(-15))/2 - (-21)/(-105) is divided by 10?
6
Let g(z) be the third derivative of -1/30*z**6 + 0*z**3 - 1/30*z**5 - 1/24*z**4 + 2*z**2 + 0 + 0*z. What is the remainder when 5 is divided by g(-1)?
2
Suppose 0 = -93*h + 96*h - 825. Calculate the remainder when h is divided by 89.
8
Let j = 15 - 12. Suppose -7*m + j*m = -724. Suppose 5*q - m - 29 = 0. Calculate the remainder when q is divided by 22.
20
Suppose 32 + 120 = 4*t. Let v(j) = j**3 - 4*j**2 - 3*j - 7. Let u be v(5). What is the remainder when t is divided by 12 + u*6/(-9)?
8
Let k be 20 - 20 - (-1 + -31). Let s = k - 25. What is the remainder when 11 is divided by s?
4
Suppose 139*s - 453 - 21 = 82. Let d be (-26)/(-7) - (-2)/7. Let p(t) = t**2 - 2*t + 1. Calculate the remainder when p(d) is divided by s.
1
Suppose -161 = -3*j + r - 37, -2*r = -4. Calculate the remainder when 83 is divided by j.
41
Suppose 4*s - 4*m - 1112 = 0, 4*s + 2*m = 2*s + 548. Calculate the remainder when s is divided by 89.
9
Let k(r) be the first derivative of -r**3/3 - 3*r**2/2 + 18*r + 8. Calculate the remainder when 71 is divided by k(0).
17
Suppose 5*o + s - 375 = 0, s - 126 - 175 = -4*o. What is the remainder when o is divided by 27?
20
Let y = 9 + -5. Suppose -40 = y*x - 9*x. Calculate the remainder when 29 is divided by x.
5
Let i be (8/20)/(5/100). Suppose -i*r = -33 - 23. Suppose 3*u - 40 = -c, 0 = c + 2*c - 5*u - 92. What is the remainder when c is divided by r?
6
Let y = 92 + -66. Suppose 2*p = -r + 3*r + y, -52 = -4*p - r. Let i(x) = x**2 - 1. Calculate the remainder when i(-5) is divided by p.
11
Suppose -3*r - 700 = 4*r. Calculate the remainder when 4/10 - 1960/r is divided by 11.
9
Suppose 2*q + 5*x = 17 + 56, 0 = x - 5. Calculate the remainder when 134 is divided by q.
14
Suppose 2*k - 4*k = -4*c + 20, -5*k = c - 16. Suppose 36 = i + i + 3*w, -4*i + 74 = 5*w. Calculate the remainder when i is divided by c.
3
Suppose -p + 0*i = 3*i - 50, -4*p + 2*i + 158 = 0. Suppose -3*k + 230 = p. Calculate the remainder when k is divided by 22.
19
Let j(o) = 17*o + 10*o - 11*o - 1 - 1. Let l be j(1). Suppose -f - 2 = -l. Calculate the remainder when 34 is divided by f.
10
Let a be ((-6)/8)/(-1) + (-65)/(-20). Suppose 0*j + 5 = j, a*k + 5*j = 69. Calculate the remainder when 21 is divided by k.
10
Let z(m) = m**2 + 30*m - 158. Suppose -4*y = 18 - 138. Calculate the remainder when z(-36) is divided by y.
28
Let y = -33 - -90. What is the remainder when 104 is divided by y?
47
Let t(a) = -11*a**3 + 28*a**2 - 28*a + 15. Let b(s) = -4*s**3 + 9*s**2 - 9*s + 5. Let w(j) = 8*b(j) - 3*t(j). What is the remainder when w(11) is divided by 5?
1
What is the remainder when 3 - (-395 + 5 - (-6 + 0)) is divided by 187?
13
Calculate the remainder when 9/3*23 + -3 is divided by 19.
9
Suppose 16*v + 483 = 19*v. Let z = 215 - v. Calculate the remainder when 322 is divided by z.
52
Suppose 28*g + 1484 = 56*g. What is the remainder when 168 is divided by g?
9
Suppose 15 = 5*d + q, 5*d - 6*d + 5*q = -3. Let p be 0 + 2 - (d + -5). What is the remainder when 1/p*(-132)/(-11) is divided by 3?
0
Let m be (-32)/8 + 8 + 1. What is the remainder when (5 + m/(-3))*30 is divided by 21?
16
Suppose -3*p - 3*m - 2 = 1, 0 = 2*m + 8. Suppose 0*x = x + 4*j - 20, -p*x - 2*j = -110. Calculate the remainder when x is divided by 6.
4
Suppose -3462 = -16*o - 534. What is the remainder when o is divided by 31?
28
Suppose 486 = 5*v + 2*n, -3*n = v - 40 - 65. What is the remainder when v is divided by 40?
16
Let f(g) = -8*g - 3. Let c be f(-1). Let q = 15 + c. Calculate the remainder when q is divided by 7.
6
Suppose -3*y + 9 = -0. Let j = 25 - 18. Calculate the remainder when j is divided by (-2)/1 - (y + -10).
2
Suppose 11*u - 312 = -13*u. Suppose 0 = 2*b + 8, 3*v - 5*b - 126 = -2*b. Calculate the remainder when v is divided by u.
12
Suppose 20 = 5*n - 3*n. Let r = -26 + 48. Calculate the remainder when r is divided by n.
2
Let v be -1*(6 + 0 - (11 - 8)). Let t(x) = -21*x - 12. Calculate the remainder when t(v) is divided by 24.
3
Let a be 1/(-1*6/(-24)). Calculate the remainder when (-6)/a*2076/(-18) is divided by 25.
23
Let r(j) = -j**2 - 2*j + 169. Calculate the remainder when r(0) is divided by 35.
29
Suppose -5*i + 9 = -1. Suppose -i*r + 6 = -58. Suppose -r - 28 = -4*b. Calculate the remainder when b is divided by 4.
3
Suppose 2*g - 8 = g. Let z(r) be the second derivative of -r**3/2 - 16*r**2 + 48*r. What is the remainder when g is divided by z(-12)?
0