se 0 = 2*p + 2*b - 110, -3*p = -3*b - 49 - h. What is the remainder when p is divided by 34?
18
Let m = -411 + 760. What is the remainder when m is divided by 21?
13
Let c(h) = -h**3 - 4*h**2 + 9. Let y be c(-4). Suppose 0 = y*x - 30*x + 1533. Calculate the remainder when x is divided by 29.
15
Let l(x) = -x**3 - 21*x**2 - 16*x + 89. Let a be l(-20). Calculate the remainder when (-120)/(-80)*(3012/a)/1 is divided by 28.
26
Suppose -5*j = -4*h - h + 215, -25 = 5*j. Suppose 5*p = -117 + 297. Suppose -3*v + p = 15. What is the remainder when h is divided by v?
3
Suppose -16*i + 14*i + 554 = -2*z, -4*z = 3*i - 810. Calculate the remainder when 567 is divided by i.
19
Let x = 293 - 169. Suppose 0 = 2*c + 2*j - 72, 5*j + x = -27*c + 30*c. Calculate the remainder when 110 is divided by c.
34
Suppose -14*n - 2 = -13*n - 2*j, 0 = 2*n - 2*j - 2. Suppose 3*x - 152 = 5*w, 2*x + n*w = -3*x + 204. Calculate the remainder when 144 is divided by x.
12
Let v be ((-10)/6)/(9/(-81)*3). Let h(t) = -t**2 - 5*t + 72. Calculate the remainder when 218 is divided by h(v).
20
Suppose 233 = -3*v + 38. Let u = 90 + v. What is the remainder when 57 is divided by u?
7
Let y be 33/15 + (-12)/(-15) - -2. Let m = 5 - y. Suppose m = -3*s + 11*s - 216. What is the remainder when s is divided by 5?
2
Let r be (-19390)/(-350) + 2/(-10)*2. Suppose -r*h - 17 = -56*h. Calculate the remainder when 198 is divided by h.
11
Let j(i) = -361*i + 1453. Calculate the remainder when 128 is divided by j(4).
2
Suppose -4*g - 3*p = 3 + 4, -25 = 5*p. Let x = -12 + 20. Let u = g + x. What is the remainder when 38 is divided by u?
8
Let u(v) = -2*v**2 + 5*v - 2. Let j be u(7). Let h = 169 + -39. What is the remainder when h is divided by (-1 + j)*(-4)/8?
31
Suppose -l - 119 = -5*r + 121, -144 = -3*r - 2*l. What is the remainder when 6094 is divided by r?
46
Let s = 40 + 544. Suppose 2374 = 51*p - s. What is the remainder when p is divided by 15?
13
Suppose -4*f - 1377 + 465 = -4*t, -476 = -2*t - 3*f. Let m = t - 225. Calculate the remainder when 187 is divided by m.
5
What is the remainder when 212 is divided by (6/5)/((-41)/(-246) + (-55)/600)?
4
Let q = 52 + -55. What is the remainder when -2 - (3/q)/(4/164) is divided by 6?
3
What is the remainder when 18 + (2 - (7 + -6)) is divided by 2/9 - (-4 - (-42)/(-54))?
4
Let n = -24 - -16. Let c(p) = p**3 + 9*p**2 + p + 7. Let i = 17073 + -17060. Calculate the remainder when c(n) is divided by i.
11
Calculate the remainder when 1477 is divided by 5/30*3 + 2811/6 + 3.
61
Suppose 149 = 2*v - 3*j, 0 = -v - 3*j + 2*j + 87. Let t(c) = 70*c + 3. Let q be t(3). Let w = 241 - q. What is the remainder when v is divided by w?
26
Let h be 35594/52 - (-1)/2. Suppose h = 5*i - 15*o + 12*o, 5*i - 2*o - 685 = 0. Calculate the remainder when i is divided by 7.
4
Let v(i) = 25*i**2 - 32*i - 64. Let p = -95 - -160. What is the remainder when v(-3) is divided by p?
62
Suppose -63*v = -29*v - 17*v - 1360. Calculate the remainder when 16798 is divided by v.
78
Let x = -551 + 553. Suppose 43*l = 40*l + 5*d + 61, d = x*l - 43. Calculate the remainder when -218*1*(-1)/2 is divided by l.
21
Suppose -5*j - 5*l = -150, j - 8*l = -11*l + 32. What is the remainder when 952 is divided by j?
24
Suppose 170*n + 1782 - 21358 - 22754 = 0. Calculate the remainder when 2731 is divided by n.
241
Let s(l) = l**3 + 7*l**2 - l + 8. Suppose 0 = 2*n - 0*q + 4*q - 84, 0 = n - 2*q - 42. What is the remainder when n is divided by s(-7)?
12
Suppose 0 = -23*w + 10*w + 130. Suppose 4*a - 86 = 34. Let l = a - 13. What is the remainder when l is divided by w?
7
Let f(c) = -2*c**3 + 3*c**2 + 2*c. Let j be f(2). Suppose j = -4*w + 134 + 2. Suppose 4*k = w + 90. What is the remainder when k is divided by 13?
5
Suppose 308*m - 1864 = -586 + 4266. What is the remainder when 1493 is divided by m?
17
Let a(c) = 3*c**2 + 2*c + 111. Let q(x) = 2*x**2 + 3*x + 113. Let u(h) = 3*a(h) - 4*q(h). What is the remainder when u(-9) is divided by 4?
0
Let g be (((-40)/6)/10)/((-2)/(-1149)). Let p = 391 + g. Suppose k - 13 = -0*k. Calculate the remainder when k is divided by p.
5
Let l(a) = 4*a - 5. Let u be (-87)/5 - 30/50. Calculate the remainder when (-15 - u) + 69 + 1 is divided by l(6).
16
Suppose 2*i + 0 = -4. Calculate the remainder when (57 - 1)*i/(-4) is divided by (3 - 6)*(-11)/3.
6
Let g(i) = -i**2 - 9*i - 7. Let c be 3/(15/8) + 14/35. Suppose -3*w + c = -2*w. Calculate the remainder when g(-7) is divided by w.
1
Let z = -1740 - -754. Let q = z - -1063. Calculate the remainder when q is divided by 21.
14
Suppose -869 = -6*i - 635. Let c = -279 - -745. Calculate the remainder when c is divided by i.
37
Calculate the remainder when 14 + 1 + 17 + 616 is divided by 73.
64
Suppose -q - 25*q + 9490 = 0. Calculate the remainder when q is divided by 11.
2
Let q(o) = 2*o**2 - 5*o + 13. Suppose 2*j - 24 = 5*a + 1, 3*j - 24 = 3*a. Suppose -j*u + 11 = -4. What is the remainder when q(u) is divided by 11?
5
Calculate the remainder when (-5 - (-131483)/99) + (-2)/18*1 is divided by 27.
0
Suppose 653 + 5683 = 33*g. Suppose 0 = -5*f, 99 + g = 3*v - 2*f. What is the remainder when v is divided by 35?
27
Suppose 2*u - 3*u = -22. What is the remainder when u is divided by ((-8)/(-12))/((-7)/(-63))?
4
Let k = 52 + 18. Calculate the remainder when k is divided by 37/((-370)/(-432)) + 6/(-5) + 0.
28
Let q = 7045 - 6786. Calculate the remainder when q is divided by 45.
34
Let y = 166 + -183. Let n = y - -207. Calculate the remainder when n is divided by 15.
10
Suppose 90*o - 101*o + 47*o = 3636. Calculate the remainder when 117 is divided by o.
16
Suppose -3584 = 12649*v - 12677*v. Calculate the remainder when 374 is divided by v.
118
Suppose 2*l + 3*r = -0*l + 6, -r + 2 = -l. Let i(a) = a**3 + a**2 - a - 4. Let y be i(l). What is the remainder when 7 is divided by y/(-5) + 22/10?
1
Suppose q - 2*m = 171, 0 = -5*q + 3*m - 256 + 1118. Calculate the remainder when q is divided by 28.
5
Let l = 38453 - 38289. Calculate the remainder when 243 is divided by l.
79
Calculate the remainder when 6031 is divided by 5496/192 + (-30)/(-80).
28
Suppose -334 + 1793 + 3521 = 12*g. What is the remainder when g is divided by 239?
176
Let f(b) = 5*b - 1. Let y be f(2). Suppose -37 = -4*p - y. Suppose 0 = -10*o + 27 + 279 + 104. What is the remainder when o is divided by p?
6
Let f(j) be the first derivative of j**4/4 - j**2/2 - 2*j + 1. Let m be f(2). Suppose 39 + 5 = m*y. What is the remainder when 21 is divided by y?
10
Suppose -i - 1215 = -6*i. Let n = i + -198. Calculate the remainder when n is divided by 12.
9
Let l(x) = 10*x - 306. Let p be l(31). What is the remainder when 160 - (p - (-33)/(-3)) is divided by 72?
23
Suppose 83*m = 3526 + 14153. Calculate the remainder when 421 is divided by m.
208
Suppose -3*y = 2*t - 314, -3*t - 5*y - 338 = -806. What is the remainder when 682 is divided by t?
18
Suppose 14337 = -99*v + 180*v. What is the remainder when 1232 is divided by v?
170
Suppose 2980 = 156*f + 170 - 310. Calculate the remainder when 679 is divided by f.
19
Let l(x) = 93*x - 546. Calculate the remainder when l(7) is divided by 8.
1
Suppose -3*m - 5*h + 1883 + 783 = 0, 5*m - 3*h - 4466 = 0. Calculate the remainder when m is divided by 48.
28
Suppose -3*n = -2*h - 104, 723*h - 727*h + 122 = 5*n. What is the remainder when 52 is divided by n?
22
Suppose 7*i - 296 = 6*i - 2*g, -3*g - 296 = -i. Calculate the remainder when i is divided by 238.
58
Let v = 2342 + -1385. What is the remainder when v is divided by 235?
17
Let n(m) be the second derivative of m**4/12 + 3*m**3 - m**2 - 6*m. Let g be (-40)/(-3)*21/(-14). What is the remainder when n(g) is divided by 10?
8
Suppose 35*u - 201 = 38*u. What is the remainder when 6 + 2 - 8 - u is divided by 36?
31
Suppose 0 = -w - 25 + 44. Suppose -11*l + w*l - 24 = 0. What is the remainder when 9 is divided by l?
0
Suppose -818 = -33*v - 191. What is the remainder when v is divided by 6?
1
Let o be (-6)/4 + 1225/14. Let c = 85 - o. Calculate the remainder when (-105 - -2)*c + 1 is divided by 53.
51
Calculate the remainder when 1206 is divided by -35 + 29 - (1 + -18).
7
Calculate the remainder when 1493 is divided by ((-1)/4*2)/(-8*(-8)/(-1408)).
8
Let n be (-28)/98 - 354/(-14). Let q = 11 + -7. W