 Calculate the remainder when b is divided by 30.
15
Let v(u) = 9*u**2 - 2*u - 1. Let h be v(1). Suppose -z + h*p - p = -55, 5*z - 255 = 5*p. What is the remainder when z is divided by 13?
11
Suppose 175 = 391*h - 384*h. Suppose 0 = 2*d + 2*d - 256. Calculate the remainder when d is divided by 10/h*10 + 9.
12
Let x(c) = c**2 + 2*c + 5. Suppose 676 = 11*z + 2*z. Let b = -48 + z. What is the remainder when x(4) is divided by b?
1
Suppose 778 = -6*q - 476. Let v = q + 254. Calculate the remainder when 1529 is divided by v.
44
Let w(m) be the first derivative of 2*m**4/3 - m**3/3 + 11*m - 4. Let v(j) be the first derivative of w(j). Calculate the remainder when v(2) is divided by 6.
4
What is the remainder when 488 is divided by 4/14 - ((-1878)/42)/(2 - 1)?
38
Let t = 2 - -43. Let d = 48 + -68. Calculate the remainder when t is divided by -69*(d/6 - -3).
22
Let k(v) = -6*v - 107. Let m(p) = -6*p - 107. Let l(b) = 5*k(b) - 6*m(b). Calculate the remainder when l(-12) is divided by 5.
0
Let d be 12/4 + -1 + 3. Let x(f) = f**2 - 2*f - 2. Suppose -50*l + 53*l - 111 = 0. Calculate the remainder when l is divided by x(d).
11
Suppose 0 = 17*q - 2884 - 4460. Calculate the remainder when q is divided by 110.
102
Suppose -21*f + 16*f + 4*c + 24 = 0, -3*f + 4*c = -16. Calculate the remainder when (123 + 8/(-1))*f/5 is divided by 12.
8
Let l = 185 - 59. Let o = -3431 - -3447. Calculate the remainder when l is divided by o.
14
Suppose -1946 - 837 = -13*l + 4705. Calculate the remainder when l is divided by 151.
123
Suppose 3*m + 9 = 15. Suppose 7*q - 12*q + m = 2*g, -16 = -4*g - 4*q. Let x = g - -8. Calculate the remainder when x is divided by 3.
2
Let a = 52 - 46. Suppose -a = -3*w + 4*n + 42, 3*n = 0. What is the remainder when 95 is divided by w?
15
Let q(s) = 45*s**2 - s + 1. Let d be q(1). Let b be 27/d + (-18)/5. Calculate the remainder when 67 is divided by 195/12 - b/4.
16
Let f(o) = o**2 + 7*o + 72. Let z = 19 + 6. What is the remainder when f(0) is divided by z?
22
Let m = -14 - -78. Let o = m + -31. Let b = 291 + -287. Calculate the remainder when o is divided by b.
1
Let y = -21 + 25. Suppose -l - l = 3*p - 54, -l = y*p - 67. Suppose -4*x = -r + x + p, -3*x = -12. What is the remainder when r is divided by 13?
10
Let l be ((-5)/10)/((-2)/376). Let a be 20 - 18 - 258/(-3). Let t = l - a. What is the remainder when 14 is divided by t?
2
Let y = 41 + -8. Let u = 10 + y. Calculate the remainder when u is divided by 22.
21
Let l(w) = 45*w**2 + 25*w + 70. Let b be l(-4). Let i = b + -505. What is the remainder when i is divided by 56?
17
Let h(v) = 2*v**2 - 13*v + 23. Let g be h(7). Let o(s) = 32*s + 5*s**2 + 34*s - g*s + 6 + 6. What is the remainder when o(-8) is divided by 15?
14
Let v = 1302 - 1289. What is the remainder when v is divided by 8?
5
Let m = 34064 - 34016. What is the remainder when 776 is divided by m?
8
Let o = -139 + 156. Suppose -15*x + o*x - 6 = 0. Suppose 0 = x*s + 2*z - 4*z - 168, -3 = -z. What is the remainder when s is divided by 15?
13
Let g = 12 - 10. Let y be (-270)/8 - g*1/8. Let x = y - -109. What is the remainder when x is divided by 19?
18
Suppose 0 = 116*a - 9769 - 5195. Let f(n) = -n - 3 + 1 + 10. Calculate the remainder when a is divided by f(-4).
9
Suppose 1908 = 240*o + 119 - 131. Calculate the remainder when 15431 is divided by o.
7
Let x(j) = 226*j - 3181. What is the remainder when x(24) is divided by 187?
186
Suppose 2750 = 895*z - 884*z. Calculate the remainder when z is divided by 141.
109
Suppose 4*s - 42 = -2*a, -2*s + 4*a = -4*s + 18. Let j = 97 - -590. Let g = j - 667. Calculate the remainder when g is divided by s.
9
Let m be ((-8)/5)/(16/120). Let u = 15 + m. What is the remainder when 69 is divided by 6*1/(u/12)?
21
Let x = -2 + 9. Let u(l) = -l + 10. Let g(m) = 3*m**2 - 109*m + 897. Calculate the remainder when g(24) is divided by u(x).
0
Let g(m) = -m**3 + 36*m**2 - 67*m - 34. Let t be g(34). Let h = 22 + t. Calculate the remainder when h is divided by 14.
8
Let x be -4 + 4 + -1 + 1. Let v(f) = x*f + 11*f + 35 + f**2 - 44. Calculate the remainder when v(-13) is divided by 10.
7
Suppose -223*i + 211*i + 268 = -80. Calculate the remainder when 4086 is divided by i.
26
Suppose 3*n + 40 = 2*i + 5*n, -2*i - 5*n + 34 = 0. Suppose -2*g + 140 = 2*t, -3*g - i + 28 = 0. What is the remainder when 201 is divided by t?
65
Suppose 201*j = -38801 + 178496. Calculate the remainder when j is divided by 17.
15
Calculate the remainder when (3/12*4)/((-4)/(-2776)*1) is divided by 174.
172
Let v(i) = -20*i + 736. What is the remainder when 960 is divided by v(21)?
12
Suppose 4640 + 18016 = 96*o. What is the remainder when o is divided by 3?
2
Suppose 3*u = -o + 22, 3*o - 31 = -3*u + u. What is the remainder when 194 is divided by (o + -2)/((-7)/(-91))?
64
Suppose -110 = -5*g - 0*g. Let a(y) = 80*y + 1613. What is the remainder when g is divided by a(-20)?
9
Let t = 41007 + -40530. What is the remainder when t is divided by 120?
117
Let d = 19531 - 19523. What is the remainder when 173 is divided by d?
5
Let z be (76140/(-99))/(-6) + (-2)/11. Suppose 536 = 12*s + z. Calculate the remainder when 132 is divided by s.
30
Let m = 5857 - 5836. Calculate the remainder when m is divided by 19.
2
Suppose 5*r + 111 = -3*m, 3*m - r + 13 = -80. Let o(h) = h + 57. Calculate the remainder when 70 is divided by o(m).
20
Let n(s) = -s**3 + 10*s**2 - 5*s - 65. Suppose 30 = -w + 6*w. What is the remainder when n(8) is divided by w?
5
Let w = -65 + -132. Let g = 220 + w. Calculate the remainder when 66 is divided by g.
20
Suppose 2*s + 2 = 0, -5*h - 5*s + 14 = -6. Suppose -5*x = -5*v + 4*v, 26 = -x - h*v. What is the remainder when (x - 1)*(189/(-14) + -6) is divided by 6?
3
Suppose -112*f - 459 = -3*u - 109*f, -4*f = 5*u - 810. What is the remainder when u is divided by 51?
5
Suppose -3*t = 5*y - 139 - 364, -495 = -5*y - 5*t. Suppose 0 = v - 6*q - 3, 2*v + 36*q = 41*q + 27. What is the remainder when y is divided by v?
19
Suppose 5*i - 3*y - 911 = 0, -2*i - 3*i + 907 = -y. What is the remainder when i is divided by 94?
87
Calculate the remainder when 467 is divided by (-44)/(-10)*1200/48.
27
Let l(g) = -17*g - 63. Let c be l(-4). Suppose c*s - 90 = u - 3*u, -5*u = -25. Calculate the remainder when s is divided by 11.
5
Let k = 4886 - 4800. What is the remainder when 296 is divided by k?
38
Let l(r) = r**3 + 2*r**2 - 9*r - 1. Let i(p) = 3*p**2 - 14*p + 14. Let j be i(4). What is the remainder when l(j) is divided by 31?
16
Let l(j) = 246*j + 1012. What is the remainder when 133 is divided by l(-4)?
21
Let t(j) = j**2 + 4*j + 8. Let n = -4 - -32. Suppose 3*y + 5*m = 4, 5*y = 2*m - n - 17. What is the remainder when 113 is divided by t(y)?
26
Calculate the remainder when -18 + 4 - (-220)/1 is divided by 26.
24
Let b = -21167 - -21396. Calculate the remainder when b is divided by 143.
86
Suppose -140 = 83*b - 94*b + 157. Calculate the remainder when 98 is divided by b.
17
Let l(y) = 5 + 12*y + 5*y + 4 - 18*y. What is the remainder when (33/4*1)/((-8)/(-32)) is divided by l(0)?
6
Calculate the remainder when (-11 - -8) + 976 - (-6 + (-16)/(-4)) is divided by 195.
0
Suppose -21*z + 104 = -13*z. Let u(s) = 2*s**2 - 10*s + 9. Let g(c) = -7*c**3 - c**2 - c - 1. Let v be g(-1). Calculate the remainder when u(v) is divided by z.
8
Let p(i) be the third derivative of 23*i**5/60 - 3*i**4/4 - 3*i**3 + 24*i**2 - 2. What is the remainder when 66 is divided by p(-1)?
20
Suppose -26*n + 4452 = -28256. Suppose 0 = 5*l + 2*o - 2086, n = 5*l - 2*l - 2*o. Calculate the remainder when l is divided by 60.
58
Suppose 10*s = 7*s + 42. Suppose -2829 = -15*n + 3216. Calculate the remainder when n is divided by s.
11
Suppose -2*r + 134 = -3*r. Let t be -3 - -2*r/(-4). Calculate the remainder when t/1 + (-1)/1 is divided by 32.
31
Let u = 19 + -10. Suppose -u*c = -56*c + 17578. What is the remainder when c is divided by 75?
74
Suppose -30 + 39 = 9*t. Calculate the remainder when 65*t*(-3)/(-15) is divided by 9.
4
Let j = 6092 + -5924. What is the remainder when 431 is divided by j?
95
Suppose -5*j = -39*j + 25636. Calculate the remainder when j is divided by 12.
10
Let i(c) = -c**2 - c + 5. Let b = 60 + -71. Let u(n) = -n**3 - 13*n**2 - 27*n - 36. Calculate the rema