. Suppose 3*i + 3*i = 750. Calculate the remainder when i is divided by x(-9).
29
Let b = -4 - -9. Suppose 3*s - 9 = 0, j - 3*j - b*s = -65. What is the remainder when j is divided by ((-2)/2)/(11/(-99))?
7
Suppose 5*f = 33 - 8. What is the remainder when 124/10 - 3*(-4)/(-30) is divided by f?
2
Suppose h = -3*h - 2*w + 22, 0 = -h + 4*w + 10. Suppose -80 = -h*l + 4*l. What is the remainder when l is divided by 15?
10
Let x(d) = 1 - d - 5*d**2 + 6*d - 4*d + d. Let t be x(-1). Let y(w) = -5*w - 4. What is the remainder when 101 is divided by y(t)?
23
Let a(x) be the first derivative of x**3/3 + 2*x**2 - 14*x - 4. Let q be a(-6). What is the remainder when 12 is divided by ((-64)/(-48))/(q/(-12))?
4
Suppose -3*k + 14*k - 132 = 0. Suppose -2*a = 3*r - 16, -3*r + k = -2*r - a. Calculate the remainder when 39 is divided by r.
7
Suppose -d + 4 = -0. Suppose 13 = -3*b + 2*m, -3*b - d*m = m - 22. Calculate the remainder when 49 is divided by 6 + b - 2 - -10.
10
Let y = 1 + 1. Suppose 0 = -2*l - y*l + 144. Suppose -4*n - 4*q + 18 = q, 4*q = 4*n - l. What is the remainder when n is divided by 4?
3
Let m(d) = 130*d. Let t be m(1). Let c = t - 105. What is the remainder when c is divided by 10?
5
Let u = -12 - -12. Suppose -3*o = -3 - u. Calculate the remainder when 52 is divided by 9/(2/6*o).
25
Let d(p) = p**2 + 45*p - 275. What is the remainder when d(-53) is divided by 19?
16
Let y(r) = 459*r**3 + r**2 + 16*r - 18. What is the remainder when y(1) is divided by 22?
18
Suppose c + 5*u - 28 = 0, 2*c - 131 = -19*u + 24*u. Suppose -5*o + 3*v = -125, 0*o + 99 = 3*o + 3*v. Calculate the remainder when c is divided by o.
25
Suppose 5*x = 2*x + 18. Suppose -3*s = 4*g - 98 - 159, 260 = 3*s + g. What is the remainder when 9/(-12) + s/4 is divided by x?
3
Suppose -2*h + 18 = -2. Suppose -o = t + 7, -t = -6*t - o - 27. Let b(n) = n**3 + 5*n**2 - 5*n - 7. What is the remainder when b(t) is divided by h?
8
Suppose 0 = -11*v + 33 + 187. Calculate the remainder when 57 is divided by v.
17
Suppose 0 = 5*q - 5*o + 7*o - 20, -2*o + 4 = q. Suppose 66 - 2 = q*f. Calculate the remainder when 93 is divided by f.
13
Suppose 0 = 2*x - 471 - 257. Suppose 2*v - 154 = 5*m, 3*v + v = -4*m + x. Let d = -340 + 362. Calculate the remainder when v is divided by d.
21
Let s = -16 + 32. What is the remainder when 33 is divided by s?
1
Suppose 5*m - 440 = n, -3*n - 445 = -5*m - n. What is the remainder when m is divided by 30?
27
Suppose 15*a = -25*a + 400. What is the remainder when 568 is divided by a?
8
What is the remainder when (-50 + 52)*47/1 is divided by 20?
14
Let m(j) = -18*j**3 - j**2 + 1. Let t be ((-72)/(-15))/((-6)/20). Let x = 26 + t. Calculate the remainder when m(-1) is divided by x.
8
Suppose 3*c + y - 29 = 0, -2*c + 2*y = -3*y - 8. Calculate the remainder when c is divided by (-40)/(-32) - 2/16*-38.
3
Suppose 31 = 5*y - 159. Let j = 468 - 463. Calculate the remainder when y/(2 + (1 - 1)) is divided by j.
4
Suppose 1290 = 14*l - 180. Calculate the remainder when l is divided by 29.
18
Let x = -481 - -490. Suppose 4 = -g + 3*u, -3*u - 2 - 2 = -5*g. What is the remainder when 274/8 - g/8 is divided by x?
7
Let d(c) = -c**3 + 3*c**2 - 2*c. Let w be d(2). Suppose w = 3*k - 5 - 13. Let r(m) = m**2 - 3*m - 7. Calculate the remainder when r(k) is divided by 4.
3
Let m(b) = 6*b**2 + b**3 - 7*b - 2*b**3 + b + 2*b**3 - 9. Calculate the remainder when 79 is divided by m(-6).
25
Let a(p) = -11*p + 6*p**3 - 3 + 13*p + 3*p**3. Calculate the remainder when 54 is divided by a(1).
6
Let u = 6 + 4. Suppose x + a - 13 = -2, 5*a + u = 0. What is the remainder when 25 is divided by x?
12
Let m(z) = -z**3 + 5*z**2 - 4*z + 2. Suppose 0 = -2*f + 9 - 3. What is the remainder when 6/(-15) + 154/10 is divided by m(f)?
7
Suppose 0*y + 4*y - 160 = 0. Suppose 5*d - 5*t - y = 0, -29 - 3 = -5*d - 3*t. What is the remainder when 11 is divided by d?
4
Let f = 446 + -410. Calculate the remainder when 171 is divided by f.
27
Suppose 0 = -3*i - 0*i + 21. Suppose i*t - 3*t + 92 = 0. Let f = -7 - t. What is the remainder when 30 is divided by f?
14
Let s(c) = -c**2 - 6*c + 9. Let q be s(-7). Let v = -27 - -65. Calculate the remainder when v is divided by q/3*1*12.
6
Let x = 205 - 160. Calculate the remainder when x is divided by 12.
9
What is the remainder when 7 - ((-49)/7 - 226) is divided by 83?
74
Suppose -380*p - 392 = -394*p. Calculate the remainder when 137 is divided by p.
25
Suppose -27*p = -24*p. Suppose 7*f - 2*f - 305 = p. What is the remainder when f is divided by (2/(-4))/(3/(-96))?
13
Let h be (-56)/(-12) - (10/(-3) - -3). Suppose t = -2*v + 15, h*t - 2*v - 8 = 7. What is the remainder when 13 is divided by t?
3
Let g = 12 + -2. Let q = 12 - g. Calculate the remainder when 35 is divided by q/8*0 - -9.
8
Let i = -379 - -428. What is the remainder when 172 is divided by i?
25
Suppose 14 = m - 0*m - 5*t, -2*m = -t - 19. What is the remainder when (-363)/(-6) - 1/(-2) is divided by (48/m)/((-2)/(-6))?
13
Let c = 21 - 14. Let u = -386 + 394. What is the remainder when u is divided by c?
1
Let t(b) be the second derivative of -b**3/2 - 9*b**2 + 13*b. Suppose 3*l + 4*n + 5 = 0, 40 = 6*l - l - 3*n. Calculate the remainder when t(-9) is divided by l.
4
Suppose 3*b = 2*b + 127. Calculate the remainder when b is divided by 165/6 - (-11)/(242/(-33)).
23
Let y(c) = 11*c + 1. Let s(h) = -h**2 + 4*h + 11. Let m = 18 + -13. Let a be s(m). What is the remainder when y(a) is divided by 14?
11
Let x = 5339 - 5296. Suppose -4*i + 44 = -0*i. Calculate the remainder when x is divided by i.
10
Let h = -11 + -6. Suppose -4*n + 3 = 27. Let y = n - h. What is the remainder when y is divided by 3?
2
Let f be 6/(-14)*98/(-14). Suppose 240 = 5*o - f*o. Let b = 38 + 3. What is the remainder when o is divided by b?
38
What is the remainder when ((192/(-160))/(-2))/((-3)/(-235) - 0) is divided by 37 - 0/(2 + 0)?
10
What is the remainder when -6*(0 + -2)*(-87)/(-18) is divided by 13?
6
Let w(h) = h**2 - 58*h + 331. Calculate the remainder when (4/(-6))/(4/(-222)) is divided by w(52).
18
Let j = 288 - 235. Suppose 0 = 2*u + 16 - 52. What is the remainder when j is divided by u?
17
Let i = 37 + 18. What is the remainder when 164 is divided by i?
54
Let r be (-8 + 0)*3/(-24). Let p = 1 + r. Suppose 0 = -2*s + 5*s + 2*x - 51, -p*s - 2*x = -36. What is the remainder when s is divided by 6?
3
What is the remainder when (-5)/65 - 14400/(-117) is divided by 27?
15
Suppose -4*k = 20, 2*v - 38 = 4*k + 26. Calculate the remainder when 216 is divided by v.
18
Suppose -3*h - 5*t + 135 = 0, -5*h + 2*t = 5*t - 225. Calculate the remainder when 943 is divided by h.
43
Let m = -47 - -68. Let q = m - -24. What is the remainder when q is divided by 12?
9
Let i(r) = -r**3 - 4*r**2 + 5*r + 9. Let c = -297 + 308. What is the remainder when i(-6) is divided by c?
7
Suppose 8636 - 1970 = 11*i. Calculate the remainder when i is divided by 76.
74
Suppose r = 5*r - 52. Let k = 21 + -14. What is the remainder when r is divided by k?
6
Let m be 7/(14/4) + -2. Suppose h + 63 = 4*g - 0*h, -2*h + 10 = m. Suppose t - 55 = 5*d, -5*t + 0*t + 3*d = -253. What is the remainder when t is divided by g?
16
Let p = -186 + 208. What is the remainder when 30 is divided by p?
8
Let s(p) = p**3 + 6*p**2 - 6*p - 7. Suppose -7064 = -230*b - 59*b + 34263. Calculate the remainder when b is divided by s(-6).
27
Let l = 98 - 65. Suppose -q + l = 6. Calculate the remainder when q is divided by 14.
13
Let y = 30 - 111. Let c = y - -124. Suppose p - 8 = 14. What is the remainder when c is divided by p?
21
Let s = -1 - -6. Let p(z) = z**3 - 4*z**2 + 5*z - 9. Calculate the remainder when p(s) is divided by 9.
5
Let d(n) = -7*n**2 + n. Let r be d(1). Let l be 1 + r*(-12)/(-9). What is the remainder when 39 is divided by 3/((-8)/l - 1)?
18
Suppose -2*k + 39 = -5*b, 12*k - 8*k - 102 = 2*b. Calculate the remainder when 167 is divided by k.
5
Suppose 0 = 4*k - 5*w - 19, 2*w + 1 - 21 = -3*k. What is the remainder when 731 is divided by k?
5
Let p be ((-6)/4 + -1)/(13/(-234)). Suppose 0 = -8*d + 13*d - p. Calculate the remainder when 26 is divided by d.
8
Let a(l) = 7*l + 4. Let g(h) = 1. Let n(z) = a(z) - 2*g(z). What is the remainder when n(4) is divided by 10?
0
Let i = 6 + 4. Sup