 -i. Suppose -5*p + 5 = -10, i*j = p + 73. Suppose -2*d - 2*v = -132, 3*d - 3*v - 135 + 9 = 0. Calculate the remainder when d is divided by j.
16
What is the remainder when 1251 is divided by ((-2)/11)/((-714)/19635)?
1
Let f(z) = 153*z**2 - 1056*z - 23. Let i(s) = 2*s**3 - 4*s**2 + 3. Let y be i(3). Calculate the remainder when f(7) is divided by y/5*(4 - -1).
19
Let k(d) = 2*d - 5. Let j be k(-7). Let u(b) = b + 19. Let v be u(j). Suppose -3*p = 3, 2*p = -4*h - v*h + 142. What is the remainder when 105 is divided by h?
33
Let d(g) = -4*g**2 + 32*g - 4. Let f be d(8). What is the remainder when (f/3)/(112/(-6972)) is divided by 17?
15
Suppose -2*p + 60 + 7 = -3*b, b + 83 = 3*p. Suppose -p*k - 170 = -31*k. Calculate the remainder when 644 is divided by k.
32
Let d(j) = 3*j**3 - 6*j**2 - 65*j - 25. Calculate the remainder when 150 is divided by d(6).
14
Let w(k) = k**2 - 38*k + 50. Let v be w(-19). Suppose 21*g - v + 440 = 0. What is the remainder when 127 is divided by g?
28
Let u = 254 + -834. Calculate the remainder when 14/4*u/(-35) is divided by 31.
27
Let f(s) = -345*s + 4510. What is the remainder when 5999 is divided by f(13)?
24
Let u be 102301/(-5) - 7/(-35). What is the remainder when 33/39 + -1 - u/156 is divided by 12?
11
Suppose 8*p + 5*q + 244 = 11*p, 0 = -p + 3*q + 76. Calculate the remainder when 365 is divided by p.
13
Let l(d) = -6*d + 3*d - 143 - 119 + 321 - 3*d. Calculate the remainder when l(-15) is divided by 74.
1
Suppose 696 = 7*h + h. What is the remainder when h is divided by (((-240)/(-375))/((-8)/20))/((-4)/10)?
3
Let m(n) = -n**3 + 5*n**2 - 2*n + 9. Let y be m(5). Calculate the remainder when (-90 - -93) + y + 315 is divided by 80.
77
Let n = 112 - 8. Suppose -4*o + 4*x + 2412 = -76, -o + 2*x + 620 = 0. Let m = o - 603. What is the remainder when n is divided by m?
20
Suppose 3*p = 6 - 0, 4*g - 3*p = 86. Let i = -6635 + 6652. Suppose i = 5*w - g. Calculate the remainder when 27 is divided by w.
3
Let k(s) = -3*s**3 + 51*s**2 + s + 1. Let z(r) = -106*r**3 - r**2 + 1. Calculate the remainder when z(-1) is divided by k(17).
16
Suppose -5*p - 2*w + 28 = 0, 0*p + p - 16 = -3*w. Let s = 44 + -49. What is the remainder when 11 + 15/(-25)*s is divided by p?
2
Suppose 5*b - 16 = 3*w, 4*b - 5*w - 12 = -3*w. Let u = -54 + 111. Suppose -b*n - 3*q = -u, -q = 2*n - 7 - 40. Calculate the remainder when n is divided by 6.
3
Suppose -25*m + 90 = -24*m. Suppose 17*o = 26*o - m. What is the remainder when (-394)/(-10) + 2/(-5) is divided by o?
9
Let h(j) = -j**2 - 6*j - 2. Let u be h(-5). Suppose -3*r - u*n - 18 = -78, n = r - 12. What is the remainder when 82/((-3 - -9)/3) is divided by r?
9
Suppose 4*y - 98 = 10. Suppose 4*z + l - 71 = 0, 3*z - 53 = -l - 0*l. What is the remainder when 51 is divided by (1 - -3)*y/z*3?
15
Suppose 24*o - 28*o + 32 = 0. Let w(h) be the second derivative of h**4/12 - h**3/2 - 5*h**2/2 - 9*h. What is the remainder when w(7) is divided by o?
7
Calculate the remainder when 554 is divided by ((-4)/80 - 5770/100)/((-9)/84).
15
Suppose 15*k + 5*z = 18*k - 7140, -5*k - 8*z + 11998 = 0. Calculate the remainder when k is divided by 104.
102
Suppose -3*c - 4*v = -0*c - 69, -5*v - 42 = -3*c. What is the remainder when (8 + -19 + 0)*-36 is divided by c?
16
Let a = -42 - -44. Suppose 4*s = 4*x - 24, 0 = x + a*s - 1 - 8. Calculate the remainder when 39 is divided by x.
4
Let y = -15 + 25. Suppose -5*c = 2*l - 95021, -31388 + 88405 = 3*c - l. Calculate the remainder when c/91 + (-2)/26*-2 is divided by y.
9
Let n = -9 - -21. Suppose 0*c = c - 4*q - n, 4*q = -8. Suppose -2*h = -h + 4*l - 44, c*l + 52 = h. What is the remainder when h is divided by 25?
23
Suppose 2*y - 15 = 1. Let a = 535 + -365. Let q = 191 - a. Calculate the remainder when q is divided by y.
5
Calculate the remainder when (-9 - (-1338553)/145) + 6/10 is divided by 15.
13
Let f(j) = j**2 + j + 36. Let m be f(-25). Suppose 87*n - m = 85*n. Calculate the remainder when n is divided by 80.
78
Let f = -11229 + 11402. What is the remainder when f is divided by 135?
38
Let n = -260 - -274. Suppose -19*i + 1170 = -n*i. Calculate the remainder when i is divided by 80.
74
Suppose -2*c + 3*c + 3*m = 7, 2*c + 3*m = 20. Let w = c + -13. Suppose 0 = -w*n + 5*n - 15. Calculate the remainder when 6 is divided by n.
0
Let h(y) = 55*y + 45. Let r = -372 - -379. What is the remainder when h(r) is divided by 54?
52
Let j(h) = -339*h - 89. What is the remainder when j(-1) is divided by 10?
0
Let s = 210 - 100. Suppose 47*c = 42*c + s. Calculate the remainder when 76 is divided by c.
10
What is the remainder when 1503 is divided by (-5365)/(-1740) + 2/(-24) - (-1 + -31)?
33
Suppose 1013 = 28*h - 741 - 710. Calculate the remainder when 238 is divided by h.
62
Let d(z) = z**2 - 80*z - 1492. What is the remainder when d(122) is divided by 1809?
14
Suppose -4*w + 4*r - 68 = 76, -5*w - 4*r = 171. Let s(q) = q**3 + q + 12. What is the remainder when (-20)/w*(0 - 77/(-2)) is divided by s(0)?
10
Suppose 26*o - 9*o - 30870 = -46*o. Calculate the remainder when o is divided by 106.
66
Suppose 0 = 6*m - 14245 - 22367. Calculate the remainder when m is divided by 32.
22
Let t = -3326 + 3408. Calculate the remainder when 263 is divided by t.
17
Let g = 6 - -23. Let p = 32558 - 32429. What is the remainder when p is divided by g?
13
Let v = -40 - -233. Suppose 4*g + g - 59 = -s, -g - v = -3*s. Suppose -174 = -n - s. Calculate the remainder when n is divided by 14.
12
Suppose 85*r = 67*r + 1764. What is the remainder when 287 is divided by r?
91
Let a(z) = 16*z**3 - z**2 + 187*z - 186. Calculate the remainder when (-3)/6 - 95/(-2) is divided by a(1).
15
Suppose 36 = -12*j + 132. Suppose 5*q = 4*p - j*p + 1449, -q - 4*p = -293. What is the remainder when q is divided by 58?
57
Suppose -372*w - 381*w - 11 = -754*w. Let a = -34 + 95. What is the remainder when a is divided by w?
6
Suppose 2*y - 20 = -2*y. Suppose 5*a - 415 = 3*x - 68, y*a - 5*x - 345 = 0. Let v(i) = 5*i + 67. What is the remainder when a is divided by v(-6)?
33
Let b be (-2)/6 + 2/6. Suppose i + b*i - 8 = 0. What is the remainder when 14 - 1818/(-72) - 3/12 is divided by i?
7
Let x(s) = s**2 + 9*s + 8. Let f be x(-8). Let r(y) = -y**2 + 8*y + 26. Let g be r(8). Suppose -c + 9 + g = f. What is the remainder when 69 is divided by c?
34
Suppose -1360*w + 502 = -1358*w. Let p(k) = k**3 - 28*k**2 - 29*k + 57. Calculate the remainder when w is divided by p(29).
23
Suppose 2*p - 750 = 2*d, 2*d + d + 1119 = 5*p. Let k = d + 443. What is the remainder when k is divided by 25?
15
Suppose 38*l - 4752 = -10*l. What is the remainder when l is divided by 34?
31
Suppose -f - 7 + 1 = 0. What is the remainder when 65 is divided by ((-42)/35)/(f/140)?
9
Suppose 23 + 1 = 2*z. Let d = 402 - 464. What is the remainder when (-2077)/d + 3/2 is divided by z?
11
Suppose -132*q = -130*q - 8. Let f(c) = c**3 - 3*c**2 + 3*c - 8. Let h = 83 + 14. Calculate the remainder when h is divided by f(q).
17
Suppose 3*q - 36 = -39. Let k be (10 - -5) + 0 + q. Let g = 19 + k. Calculate the remainder when g is divided by 15.
3
Let m(b) = -b**2 - 34*b - 8. Let t(n) = n**2 + 102*n + 24. Let r(c) = -8*m(c) - 3*t(c). Calculate the remainder when 157 is divided by r(8).
37
Let n(a) = -12*a - 3. Let t be n(-6). Suppose 0 = -14*f + 461 - 125. Suppose 0 = d + f - t. Calculate the remainder when 133 is divided by d.
43
Suppose 7*i - 181 + 139 = 0. Suppose -2*u = 5*d - 40, -23 = -2*u - 3*d + 13. What is the remainder when u is divided by i?
3
Suppose 4*f - 29 = 3*p, -4*f + 3*p - 6*p + 11 = 0. Calculate the remainder when f is divided by (9/((-18)/(-8)))/(-3*6/(-9)).
1
What is the remainder when 274 is divided by (-332)/(-5) - (-74)/(-185)?
10
Suppose -172*i + 147 = -165*i. What is the remainder when 477 is divided by i?
15
Suppose 102 = 12*o - 162. What is the remainder when 4310 is divided by o?
20
Suppose 9*r = -3*r + 36. Suppose -5*m + 734 = -6*j + 2*j, r*m + j - 454 = 0. Calculate the remainder when m is divided by 14.
10
Let n(t) = 30*t + 68. Let a be n(11). Let f = a - 391. What is the remainder when 53 is divided by f?
4
Let q = -1414 - -1727. What is the remainder when q is divided by 152?
9
Calculate the remainder when 1*(-6116)/33*(-3)/4 is divided by 34.
3