divided by j.
1
Let q = 17 - -81. Suppose -91*l - 406 = -q*l. Calculate the remainder when 70 is divided by l.
12
Let k(o) be the first derivative of -o**4/4 + 4*o**3/3 + 4*o**2 - 6*o - 18. Let x be k(5). Suppose r + x = 32. What is the remainder when r is divided by 12?
11
Let x = 7 - 70. Let g = x + 76. What is the remainder when 51 is divided by g?
12
Suppose 7*q - 144 = 3*q. What is the remainder when 39 is divided by 32 - (q/(-6) + 10)?
11
Calculate the remainder when 489 is divided by 26 + (-8)/(40/(-35)).
27
Let w(p) = -26*p - 109. Let x(d) = 11*d - 137. Let o be x(12). Calculate the remainder when 56 is divided by w(o).
14
Let j(p) = 6*p + 99 - 55 - 89. Calculate the remainder when j(24) is divided by 52.
47
Suppose 3*q + 3*f - 5298 = 0, 0*f - 5299 = -3*q - 2*f. Suppose -32*a + 29*a + q = -3*n, -3*a = n - 1775. Calculate the remainder when a is divided by 16.
15
Suppose -6198 = -52*o + 5138. Suppose -4*z = -8*z + 5*n + o, z + 5*n = 67. Let k(y) = 16*y**3 - y. Calculate the remainder when z is divided by k(1).
12
Suppose 2*o - 3*y = 21, 0*o + 2*y - 6 = -2*o. Suppose 3*a = -4*c + 96, 4*a - 76 = 4*c + 52. Calculate the remainder when a is divided by (o/(-8))/3 + 276/16.
15
Let b(q) be the third derivative of q**6/120 + q**5/4 - 7*q**4/4 - 23*q**3/6 + 3*q**2 + 16*q. What is the remainder when b(-17) is divided by 23?
21
Let f = 154 - 94. Let c = -23 + f. Let g = -4452 + 4475. Calculate the remainder when c is divided by g.
14
Suppose 19*h + 237 - 475 = 332. What is the remainder when 2697 is divided by h?
27
Let x = 5093 + -5065. What is the remainder when 4339 is divided by x?
27
Let b = 81 + -43. Suppose 4*y = 2*y + b. Suppose 72*z - 40*z - 1024 = 0. Calculate the remainder when z is divided by y.
13
Let h = -401 + 421. Suppose h = -5*t, 3*g + 4*t = -0*g + 89. What is the remainder when g is divided by 14?
7
Suppose 4*z = -30 - 18. Let o(f) = 2*f**2 + 18*f + 53. Let t be o(z). Let p = -94 + t. What is the remainder when 59 is divided by p?
28
Let f(d) = 2*d - 18. Let h be f(11). Suppose -h = -4*w - 4. Suppose 5*b - 15 - 90 = w. Calculate the remainder when 82 is divided by b.
19
Let m = -1474 - -1657. Calculate the remainder when m is divided by 6.
3
Suppose 7*t - 817 = -138. Let f = t + -12. What is the remainder when f is divided by 30?
25
Let n(p) = -50*p - 5608. What is the remainder when n(-121) is divided by 48?
10
Suppose 0 = 2*f - p - 1 - 10, 1 = 4*f + 5*p. Suppose -3*j = v - 87, -f*v + 309 = 5*j - 6*j. Calculate the remainder when v is divided by 9.
6
What is the remainder when 363 is divided by (-71939)/(-5117) + (-2)/34?
13
Let f(z) be the first derivative of -z**4/4 + 7*z**3/3 + z**2 - 8. Let o = 36 - 31. What is the remainder when f(o) is divided by 21?
18
Let v(w) = 21*w + 203. Suppose -5*o + 52 = 87. Calculate the remainder when v(o) is divided by 10.
6
Suppose -35 = 2*i - 203. Calculate the remainder when i is divided by (99/21)/(13/((-2548)/(-42))).
18
Let a(r) = -5*r - 3 - 14*r - 17 + r. Calculate the remainder when a(-7) is divided by (-245)/(-9) + 10/(-45).
25
Suppose -f + 40 = 3*z + 1, 2*z - 4*f - 40 = 0. What is the remainder when 1/8 - 25653/(-408) is divided by z?
7
Let l(g) = -g**2 - 19*g - 1. Let n be l(-18). Suppose -6*i = -n*i + 55. Calculate the remainder when 14 is divided by i.
4
Suppose 130 = -3*v + 1471. Suppose -5*k = t - 105, 2*t - 168 = -99*k + 96*k. Calculate the remainder when v is divided by t.
72
Let l be (8 - (-4563)/9)/((-1)/(-1)). Let i = l + -429. What is the remainder when i is divided by 12?
2
Suppose 5*q - n = 9*q - 484, 2*q = -3*n + 242. Suppose 0 = -2*i + 57 + 17. What is the remainder when q is divided by i?
10
Suppose 966*y + 3*g = 970*y - 1332, 0 = -2*y + 2*g + 662. What is the remainder when 358 is divided by y?
19
Let q(r) = 135*r - 3030. Let y = 31 + -4. What is the remainder when q(25) is divided by y?
21
Let u = 539 - 505. Calculate the remainder when 1372 is divided by u.
12
Let h(b) = -2*b + 29. Suppose -2*l + 40 - 290 = 0. Let z be (-150)/l*2/(4/15). What is the remainder when 54 is divided by h(z)?
10
Let w be (-5 + 7)/2*20. Suppose -41 = -w*s + 219. Calculate the remainder when s is divided by 5.
3
Suppose -4*f + 203 = 3*l, 3*l - 2*f - 210 = f. Suppose -25*v = -4*x - 20*v + 5453, -5*v - 1322 = -x. What is the remainder when x is divided by l?
66
Let m(v) = 2*v + 54. Let l(h) = 10*h**2 - 2*h - 3. What is the remainder when l(2) is divided by m(-18)?
15
Let q(a) = 102*a**3 - 100*a**3 - 12 + 14*a - 21*a**2 + 3 - 2. Let j = 14 + -8. Calculate the remainder when q(10) is divided by j.
5
Let i(l) = -l**3 - 28*l**2 + 165*l + 21. What is the remainder when 26291 is divided by i(-33)?
20
Suppose 0 = 94*d - 156*d + 61256. Calculate the remainder when d is divided by 262.
202
Let s = 1 + 11. Suppose 37 - s = 5*p. Suppose p*q = 16*q - 1914. Calculate the remainder when q is divided by 25.
24
Let j be ((-8)/5)/(5 + (-846)/170). Let n = 208 + j. Calculate the remainder when n is divided by 38.
26
Let k = 4635 + -4416. What is the remainder when 222 is divided by k?
3
Let d(k) = k**3 - 12*k**2 - 52*k + 874. What is the remainder when d(13) is divided by 19?
6
Suppose -3*y = -2*c + 1024, -19*c + 14*c - 5*y = -2510. Let x = c - 351. What is the remainder when x is divided by 32?
27
Let t = 3640 - 1978. Suppose -2*s - 1333 = 2*s - w, 5*s + 3*w + t = 0. Let x = s + 530. What is the remainder when x is divided by 40?
37
Let i = 5450 - 5377. Calculate the remainder when 169 is divided by i.
23
Let j(b) = -b**3 - 3*b**2 + 22*b + 17. Let n be j(-7). Let u = n + -58. Suppose -i + 3 = 2. Calculate the remainder when u is divided by i.
0
Suppose -5*y - 1807 - 1477 = -4*q, -5*y = -2*q + 1662. What is the remainder when q is divided by 136?
131
Suppose 943 = 156*z - 617. Suppose a = 3*w + 54, 0 = 2*w - a + 25 + 12. Let m = w - -53. What is the remainder when m is divided by z?
6
Suppose 593*a - 7215 = 556*a. What is the remainder when a is divided by 164?
31
Calculate the remainder when -42*418/(-66) - (-18)/2 is divided by 31.
27
Let n(i) = -390*i - 1026. What is the remainder when 591 is divided by n(-3)?
15
Let v = -34802 + 34856. Let t(p) = -14*p. What is the remainder when v is divided by t(-2)?
26
Let g be (-12)/8 - -3 - 76/(-8). Suppose 1030 = -6*h + g*h. What is the remainder when h is divided by 69?
68
Suppose 4 = -4*r - 40. Let q = r - -20. Suppose 852*w = 406*w + 406*w + 280. What is the remainder when q is divided by w?
2
Let r(b) be the third derivative of -b**6/40 - 3*b**5/10 - 9*b**4/8 - b**3/3 + 56*b**2 - 3. Calculate the remainder when r(-5) is divided by 46.
12
What is the remainder when 2854 is divided by ((-880)/(-10))/(-22)*-34?
134
Let p = -1063 - -11840. What is the remainder when p is divided by 44?
41
Let j = 244 + -242. Suppose 0 = j*i + 6, b + 2*i = 3*b - 12. Calculate the remainder when 30 is divided by b.
0
Calculate the remainder when 120 is divided by (-5*12/14)/(639/(-14910)).
20
Let t(i) = i**2 - 110*i + 1073. Calculate the remainder when 800 is divided by t(10).
70
Let b = -4 - 12. Let a = 36 + b. Let j(x) = 99*x**2 + 4*x + 1. What is the remainder when j(-1) is divided by a?
16
Let y(f) = 18*f + 309. Let v be (0/3)/(-1 - -3). Suppose 2*d - 206 = h, v = 2*d + h + 4*h - 206. What is the remainder when d is divided by y(-16)?
19
Suppose 12*r + 11*r - 9218 - 10516 = 0. Calculate the remainder when r is divided by 20.
18
Suppose 11*c - 84 = 15. Let n(z) = 5*z - 42. Let u(w) = -w - 1. Let t(o) = n(o) - 5*u(o). What is the remainder when t(c) is divided by 14?
11
Suppose 0 = -0*s - 3*s + 9. Let h be 69/(-46)*-3*(-222)/(-9). Suppose h = 9*w - 195. Calculate the remainder when w is divided by s.
1
Suppose 942 = 5*v - 3*g, -12*g = -5*v - 14*g + 922. Calculate the remainder when 591 is divided by v.
33
Calculate the remainder when 6/27 - (-25)/6*(-7210)/(-15) is divided by 399.
8
Suppose -386*l = -2*p - 391*l + 353, 4*p + 5*l = 731. Calculate the remainder when p is divided by 187.
2
Let q(l) = 16*l - 69. Let p be q(11). Let x = p - 93. Calculate the remainder when x is divided by 4.
2
Let i(v) = -185*v - 1. Let w be i(-1). Suppose -2439*z - 75 = -2514*z. Calculate the remainder when w/44 + (-4)/22 is divided by z.
0
Suppose 0 = 2*m - m. Suppose -5*k = -4*q - 22, m = -3*k - q