 w = 21017 - 20847. What is the remainder when 832 is divided by w?
152
Let b(c) be the first derivative of -c**4/4 - 3*c**3 + 21*c**2/2 + 2*c + 1. Let x = 7456 + -7467. Calculate the remainder when 47 is divided by b(x).
8
Let l = 17122 - 15448. What is the remainder when l is divided by 129?
126
Suppose 2*r - 90 = -r. Let u = -125 + 302. Calculate the remainder when u is divided by r.
27
Suppose -4 + 20 = 4*s, -2*o = -3*s + 110. Let r = o - -51. Suppose r*m + 60 = 6*m. What is the remainder when 72 is divided by m?
12
Suppose -4*t + 172 = 5*n, t = -5*n - 2*t + 169. Calculate the remainder when 146 is divided by n.
18
Let b be (1/(-6)*-3)/((-1)/38). Calculate the remainder when 60 is divided by 64/6 + b/(-57).
5
Suppose 0 = 5*q + j - 6711, -3*q - 6*j + 4*j = -4028. What is the remainder when q is divided by ((-42)/1 + 0)*(-8)/6?
54
Suppose 43*z - 4111 = -2*z - 511. What is the remainder when z is divided by 70?
10
Let a(q) = -9*q - 94. Let w be a(-11). Suppose 3*x = -2*t + 33, -4*t + 0*t = w*x - 69. What is the remainder when 37 is divided by t?
16
Let w = 71786 - 71436. Suppose 3*y + 4*u - 85 = 0, 3*u = -3*y + 67 + 17. What is the remainder when w is divided by y?
26
Let w = -15250 + 16918. Calculate the remainder when w is divided by 16.
4
Let p(o) = o + 438. Suppose 1008 = 41*b - 9*b - 16*b. Calculate the remainder when p(0) is divided by b.
60
Let r(n) = -433*n - 1343. What is the remainder when r(-4) is divided by 112?
53
Calculate the remainder when (1 - -5885) + 198/(-33) + 13 is divided by 347.
341
Let z(b) = b**2 + 3*b + 47. Let k be z(-9). Suppose 0 = 3*y - v - k, 0 = 3*y + 4*v + 11 - 117. Calculate the remainder when y is divided by 6.
4
Suppose -163*w = 31473 - 51256 - 37104. Calculate the remainder when 3500 is divided by w.
10
Let v be (-80)/3*(-6)/1. Suppose v = -23*f + 413. Calculate the remainder when 14 is divided by f.
3
Suppose 37*o + 1038 = 175*o - 66. Calculate the remainder when 3646 is divided by o.
6
Let p(j) = j - 2. Let k be p(3). Let g be 8227/114 - k/6. Suppose -137 = -5*l - g. Calculate the remainder when l is divided by 5.
3
Suppose -447*t = -489*t + 3654. What is the remainder when 190 is divided by t?
16
Let d be (8 + -7)/(2/32). Calculate the remainder when 35 + -14*8/d is divided by 14.
0
Let c(m) = -2*m - 1. Let h be (6/5)/((-15)/(-50)). Let v be ((-168)/48)/(2/h). Calculate the remainder when 35 is divided by c(v).
9
Calculate the remainder when (84/(-504) + (-5)/6)*-257 is divided by 108.
41
Let i(o) = 3*o + 156. Calculate the remainder when 2608 is divided by i(-22).
88
Let b = -184 + 76. Let t = -69 - b. Suppose -3*q - 12 = -t. Calculate the remainder when 13 is divided by q.
4
Let v(g) be the second derivative of g**4/4 + g**3/6 + 22*g**2 - 5*g. Let k(d) = -d**2 + 16*d + 89. Calculate the remainder when v(0) is divided by k(20).
8
Suppose 107*s = 248*s - 913116. Calculate the remainder when s is divided by 48.
44
Suppose 3315 = 42*p - 47505. What is the remainder when 4843 is divided by p?
3
Let v(f) = -4*f**3 - 25*f**2 + 3*f - 14. Let p be v(-7). Suppose 14 = 9*u - p. Calculate the remainder when 55 is divided by u.
13
Suppose 2*q - 10*j + 11*j - 3214 = 0, q + 3*j = 1612. Suppose q = 9*d - 1184. Calculate the remainder when d is divided by 79.
73
Suppose 0 = -5*k + 4*g + 23, -k - 6 = -4*k + 5*g. Suppose 5*n - 3*h = -k*h + 48, 2*h - 4 = 0. Calculate the remainder when 9 is divided by (-2 - 2) + (n + 3)*1.
2
Let g(y) be the second derivative of -y**5/10 - y**4/12 - y**3/3 - 6*y**2 + 161*y. Calculate the remainder when ((-34)/(-3))/(1/3) is divided by g(-2).
2
Let t(f) = -f**2 - f + 3805. Let l(m) = 4*m**2 + 6*m + 3. What is the remainder when l(-4) is divided by t(-62)?
20
Suppose v - 1417 = -2*y + 731, v - 2169 = 5*y. Calculate the remainder when v is divided by 80.
74
What is the remainder when ((-45)/(-6))/(1/10) is divided by ((-1200)/(-840))/(4/54) + (-4)/14?
18
Suppose 10*d - 3*d = 371. Suppose -3*r = -o + d + 45, 0 = 4*r. Let p = -44 - -79. What is the remainder when o is divided by p?
28
Let r = -1404 - -1406. Suppose -48 = -4*y + 2*u, r*y - 36 + 4 = -u. What is the remainder when 50 - -2*(3 - 2) is divided by y?
10
Suppose 97*b - 726 = 31*b. What is the remainder when 170 is divided by b?
5
Let m = 4339 - 4309. Calculate the remainder when 414 is divided by m.
24
Let c = -351 - -335. Let h(d) = d**2 + 16*d + 25. What is the remainder when 31 is divided by h(c)?
6
Let d(w) = 6*w - 40. Let l(k) = k - 8. Let y(t) = -2*d(t) + 11*l(t). Let h be y(-9). Calculate the remainder when 95 is divided by 48 + -28 + (5 - h).
23
What is the remainder when 5196 is divided by (-1 + -578)*-3 + (209 + 25)/(-26)?
12
Suppose -470 = -3*q + 92*c - 87*c, -4*c = -q + 159. What is the remainder when q is divided by 96?
59
Let c = 422239 + -422215. What is the remainder when 142 + (1/(-1))/1 is divided by c?
21
Suppose 196 = n + 27*n. Suppose 0 = -n*i + 13*i - 1782. Calculate the remainder when i is divided by 76.
69
Suppose -5*v = 4*o - 448, 9*v - 14*v - 20 = 0. Calculate the remainder when 700 is divided by o.
115
What is the remainder when 9449 is divided by ((-8)/6 - 67/(-12))/(1/16)?
65
Suppose 5*b - 3*u = 2*b + 21, -2*b + 17 = u. Let z(s) = 0 - s**3 - 6 + 9*s**2 - 5. What is the remainder when z(b) is divided by 18?
17
Calculate the remainder when 141046/72 + (-157)/(-5652) is divided by 162.
15
Suppose 10*r = 5*r + 175. Suppose -5*t + 5 = -r. Let z = 3777 + -3748. Calculate the remainder when z is divided by t.
5
Suppose -32 = -5*t + 3*j + 169, 54 = t + 4*j. What is the remainder when (-4)/(16/(-6))*(-158)/(-3) is divided by t?
37
Let y(t) = t**2 + 29*t. Let x be y(-29). Let a(c) = -2*c**3 - c + 29. Calculate the remainder when 53 is divided by a(x).
24
Suppose -3*c - 1105 = -20*c. Suppose 8*k - 3*k - c = 0. What is the remainder when 23 is divided by k?
10
Suppose 0 = -58*c + 5054 + 2196. Calculate the remainder when 273 is divided by c.
23
Calculate the remainder when 165 is divided by (-19836)/(-203) - (-1)/((-3)/((-24)/28)).
67
Let f(d) = -d**2 - 11*d - 14. Let b be f(-8). Suppose 4*l = 3*g + 219, 0 = 2*g + b - 0. What is the remainder when l is divided by 14?
9
Let n = 19808 - 19608. What is the remainder when 1183 is divided by n?
183
Let j(i) = 362*i + 553. Calculate the remainder when j(0) is divided by 260.
33
Let n = 56 - -1144. Suppose -6*j = 14*j - n. What is the remainder when j is divided by -2 + (-3 - -2) + 34?
29
Calculate the remainder when 442 - (26/195 - 174/(-45)) is divided by 9.
6
Suppose 7*a + 13*n = 9*n + 2633, 0 = -4*a + 3*n + 1531. What is the remainder when a is divided by 48?
43
Calculate the remainder when ((-96)/72)/(1/(13425/(-10))) is divided by 9.
8
Suppose 0 = 3*j - 5*j + x - 277, x - 136 = j. Let s = 158 + j. What is the remainder when 65 is divided by s?
14
Let x(l) = l**2 - 56*l + 344. Let q be x(44). Let i = 478 + q. Calculate the remainder when i is divided by 100.
94
Let f(z) = 31*z - 119. Let h be f(19). Suppose -d - 3*k + 35 = -59, -5*d - 2*k + h = 0. Calculate the remainder when d is divided by 12.
10
Suppose 4830 = -30*a + 20*a. What is the remainder when (-2)/(14/a*3) is divided by 6/(-21) + (-44)/(-7)?
5
Let w = -174 - -144. What is the remainder when ((-3978)/w - -2) + 3/(-5) is divided by 34?
32
Let f(i) = 16*i + 68. Let u be f(-4). Suppose -7*h + u*h + 23 = 4*w, h + 19 = 2*w. What is the remainder when 133 is divided by w?
5
Suppose -5*z - 9*t + 10*t + 40 = 0, 5*z - 70 = -5*t. Suppose 4*b = -0*b + 104. What is the remainder when b is divided by z?
8
Suppose -5*d + 430 = 5*o, -2*o + 89 + 87 = 4*d. Let x = -56 + o. Suppose 12 = 2*c - 3*b, -4*b + 30 = -2*c + 7*c. Calculate the remainder when x is divided by c.
4
Let g(l) be the second derivative of -l**4/12 + 19*l**3/6 - 18*l**2 + 13*l. What is the remainder when g(14) is divided by 4 - (-4 + 2)*1?
4
Let h(w) = 2*w**3 + 12*w**2 - 43*w + 9. Calculate the remainder when 366 is divided by h(-8).
75
Suppose 5*z + 6*w - 62 = 8*w, 0 = 2*z + w - 23. What is the remainder when 524 is divided by (-354)/(-10) - z/30?
34
Suppose -h - 20 = -2*n, -12*h = n - 8*h - 10. Calculate the remainder when 61 is divided by n.
1
Let o = 229 - 321. Let j = o + 159. Suppose 5*l - 3*u - 43 = 0, -5*u + 2*u + j = 5*l. Calculate the remainder 