9, 3*w + 445 = 7*w - 3*g. Suppose -91*q - 57407 = -59864. Calculate the remainder when w is divided by q.
1
Let l(z) = 6*z**2 - 577*z + 111. What is the remainder when 91 is divided by l(96)?
1
Let w be 6/15 - (-23)/5. Let z(c) = 7*c**3 + 49*c**2 + 2*c + 22. Let g be z(-7). Suppose 0 = -g*a - w*a + 1261. Calculate the remainder when a is divided by 20.
17
Let g(h) = 14 + 10*h - h**2 + 13 + 2*h**2 + 18. What is the remainder when g(-13) is divided by 29?
26
Suppose 175*a - 63 = 166*a. Calculate the remainder when -1 + ((-4)/(-5))/(4/310) is divided by a.
5
Suppose -3*q - 8573 = -4*t, q = -3*t - 2570 + 8977. What is the remainder when 2141 is divided by t?
3
Suppose 8161*p - 30 = 8146*p. What is the remainder when 290 is divided by p?
0
Let d(s) = 7*s**3 + 22*s**2 - 217*s + 7. Calculate the remainder when d(10) is divided by 55.
52
Suppose -872 + 152 = 2*i. Let w = 256 + i. Let b = w - -112. What is the remainder when 12 is divided by b?
4
Suppose 2*m - 956 = -5*j - 900, -m = -j - 21. What is the remainder when 1 - (2 + (-63)/1) is divided by m?
16
Let x = 3 - 0. Suppose -10 = 5*j, 0 = x*v - 6*v - 5*j + 341. What is the remainder when v is divided by 12?
9
Let t(m) be the first derivative of -5*m**2 - 8*m - 1/3*m**3 + 16. Calculate the remainder when 20 is divided by t(-7).
7
Let p = -3209 - -3274. What is the remainder when 115 is divided by p?
50
Suppose -2*x + a = -0*x - 23940, -3*x = -2*a - 35913. Calculate the remainder when x is divided by 64.
63
Let s = 242 - 237. What is the remainder when 78 is divided by -1 + s - (-7)/((-14)/(-12))?
8
Let n(k) = k**3 + 9*k**2 + 97*k + 608. Calculate the remainder when 506 is divided by n(-7).
20
Suppose -q + 628 = -f, -2105 = 2*f - 2103. Calculate the remainder when q is divided by 199.
30
Let k(b) = -b**3 + 2*b**2 - b + 2. Let y be k(0). Suppose y*z = 3 + 41. What is the remainder when 65 is divided by z?
21
Suppose -84 = -3*o - 6. Let y(b) = b**2 - 19*b + 56. Let n be (-4)/(-2)*21*(-4)/(-56). What is the remainder when o is divided by y(n)?
2
Suppose 2*a - 4 = -10. Let y be (4/12)/(a/(-36)). Suppose -2*s = -y*s + 88. What is the remainder when s is divided by 15?
14
Suppose 5*r - 343 + 78 = 0. Let k be ((-165)/20 - -6)*-96. Let m = k + -197. Calculate the remainder when r is divided by m.
15
Let y = -10353 + 10350. Let m(o) = -o**3 - 5*o**2 - 6*o - 5. Let a be m(-4). What is the remainder when (-43)/(-3) - a/(-27)*y is divided by 3?
2
Let r be (-1)/((2450/(-815) - 1) + 4). Suppose 5*x + 5*g = 285, 7*x = 4*x - 5*g + r. What is the remainder when 425 is divided by x?
59
Let i = -165 + 261. Let u = -94 + i. Suppose -2*q + 3*h - 31 = -4*q, u*q = -2*h + 28. What is the remainder when q is divided by 7?
4
Let h be (-1)/(-2)*150/5. Suppose -2*k - 2*k = -5*j - h, 0 = 2*j - k + 3. What is the remainder when 5 is divided by -9 + 9 + j + 1?
1
Suppose 9 = 5*k - 16. Suppose 2*y - 22 = 2*r, 0*y - y + 71 = -k*r. Let a(f) = f**3 + 16*f**2 + 13. What is the remainder when a(r) is divided by 60?
58
Let g(k) = k**3 - 6*k**2 + 5*k - 36. Let t be g(6). Calculate the remainder when 33 is divided by 2*(t + 155/10).
14
Let j(m) = m**3 + 22*m**2 - 712*m + 16. What is the remainder when 322 is divided by j(18)?
2
Let n = 14490 - 14353. Calculate the remainder when 1241 is divided by n.
8
Let x(z) = 64*z - 1630. Calculate the remainder when x(26) is divided by (-206)/(-10) - (-12)/30.
13
Let v(d) = 35*d**2 - 312*d + 314. Calculate the remainder when 3179 is divided by v(1).
34
Let p(h) = h**2 + 3*h - 27. Let a be p(-11). Let l = 5 + -48. Let f = a + l. What is the remainder when 52 is divided by f?
16
Calculate the remainder when (-1)/(-2) - 285/(-30) is divided by (1/(-2))/(-2 - (-55)/30).
1
Let m(o) = -2*o**2 + 29*o + 15. Let n be m(15). Suppose 147 = 3*j - 3*k, n*k = 2*j + 2*k - 106. What is the remainder when j is divided by 11?
7
Let s = -122 + -414. Let l = 560 + s. Calculate the remainder when 110 is divided by l.
14
Suppose 67 = m + 4*k + 3, 15 = 3*k. Let c = -36 + m. Let u = 4 + 0. What is the remainder when c is divided by u?
0
Let k = 32340 - 32200. What is the remainder when 1819 is divided by k?
139
Let h be 1100 + (-3 - -3)/3. Calculate the remainder when -2 + (-1)/1*h/(-20) is divided by 16.
5
Calculate the remainder when 368 is divided by ((-86)/(-10))/((-21)/(-105)).
24
Calculate the remainder when 700 is divided by (204/28)/(25/175).
37
Suppose -258*g - 856869 + 2511939 = 0. Calculate the remainder when g is divided by 26.
19
Let d = 2112 + -2115. Let z(a) be the third derivative of a**5/20 + 5*a**4/24 + a**3/2 - 2*a**2. What is the remainder when 43 is divided by z(d)?
13
Let a(d) = 4*d**2 - 12*d + 22. Let p be a(6). Let l = -157 + p. Let t = l - -107. Calculate the remainder when t is divided by 23.
21
Suppose 106*z - 22849 = -3239. What is the remainder when 857 is divided by z?
117
Suppose -2*j = -3*j + 2. Suppose 2*z = j*r + 14, -z = -5*z - 2*r + 22. Let i = 4068 + -4047. What is the remainder when i is divided by z?
3
Let d(n) = 2*n**2 - 37*n - 877. What is the remainder when d(34) is divided by 154?
23
Let a = 13990 + -13485. What is the remainder when a is divided by 111?
61
Let s(u) = 3*u**2 - 3*u + 7. Calculate the remainder when 278 is divided by s(5).
10
Let u be 3 - (2/8 - 189/4). Let t = -37 + u. Let s(k) = -k + 36. Calculate the remainder when s(0) is divided by t.
10
Suppose 21*r + 2538 = 48*r. What is the remainder when 3193 is divided by r?
91
Suppose 52 - 6 = b. Suppose 0 = 5*m + 2*z + 36 - 242, m = 2*z + b. Let u = m - 32. What is the remainder when u is divided by 6?
4
Let d = -2016 + 2055. Calculate the remainder when 2103 is divided by d.
36
Let s be 0/((-4)/2 - 0). Let o(u) = 62*u + 52. What is the remainder when 225 is divided by o(s)?
17
Let z(p) = -2*p**2 - 113*p - 157. Let n be 1/2*(2 - -8) - 60. What is the remainder when -2 - -11*2*1 is divided by z(n)?
4
Calculate the remainder when (-40862)/(-10) + (-168)/(-210) is divided by 56.
55
Let f = 146 + -110. Calculate the remainder when 1/(12/8 + (-1564)/1048) is divided by f.
23
Let c = -3556 + 3650. What is the remainder when c is divided by (-84)/18*(-36)/14?
10
Suppose 0*v + 108 = 6*v. Let x be 2/6*21/(-7). Calculate the remainder when x*(-282)/4*(-12)/(-6) is divided by v.
15
Suppose 9 = u - 88. Let k(l) = -l**3 + 15*l**2 + 144*l + 220. What is the remainder when k(-7) is divided by u?
96
Suppose 59 = -l - 3*f, -5*l + 2*l = -5*f + 163. Let j = -8701 - -8650. Let g = j - l. What is the remainder when 34 is divided by g?
4
Let v(z) = 27*z - 666. Calculate the remainder when 4496 is divided by v(25).
5
Let p = 598 + -425. Let i = p - 139. Calculate the remainder when i is divided by 14.
6
What is the remainder when -1 - 21937/(-3) - 1/(45/105) is divided by 86?
85
Suppose 5*n = 5*j + 1045, -521*j + 1013 = 5*n - 518*j. Calculate the remainder when 323 is divided by n.
118
Suppose 542 = 4*v - 554. Suppose x - 4*x = 5*m - v, 2*m - 122 = 5*x. Calculate the remainder when 335 is divided by m.
55
Suppose m - 479 = -29. Suppose 8*g = 2*g + m. Let w = 129 - 122. What is the remainder when g is divided by w?
5
Let c(p) = p + 12. Let r be c(-5). Suppose 11*n - r*n = 0. Suppose -13*a + 17*a - 160 = n. What is the remainder when a is divided by 15?
10
What is the remainder when 4113 is divided by (4508/(-23))/(-1*3)*(-19 - -22)?
193
Let h(m) = -m**2 + 31. Let i = 432 - 432. Calculate the remainder when 92 is divided by h(i).
30
Let b(u) = 73*u - 1. Let q be b(2). Suppose -q = -2*f - z, -f = -0*f - 5*z - 67. Calculate the remainder when f is divided by (-1 - -2) + (41 - 22).
12
Let y = 27 + 192. Let q = 177791 + -177717. Calculate the remainder when y is divided by q.
71
Let y(h) be the second derivative of -h**5/20 - 3*h**4/4 - 3*h**3 + 6*h**2 + 2*h + 41. Calculate the remainder when 33 is divided by y(-6).
9
Calculate the remainder when 4379 is divided by 7018/726 - ((-2)/3 - 6/(-18)).
9
Let z = 4534 - 3916. Calculate the remainder when z is divided by 25.
18
Let w = -4876 - -4949. What is the remainder when 304 is divided by w?
12
What is the remainder when 79 + (-99)/(99/(-9)) is divided by (-352)/(-40) - 3/(-15)?
7
Let z = 9952 + -9097. Calculate the remainder when 2572 is divided by z.
7
Let g(a) = 0*a**2 - 3 + a**2 + 3*a + 0. Calcul