he remainder when p is divided by v?
7
Let c = -6627 - -7007. What is the remainder when c is divided by 118?
26
Let w = -8091 + 8576. Calculate the remainder when w is divided by 8.
5
Let a(q) = -q**3 - 20*q**2 + 2. Let o be a(-20). Suppose 13 = 2*c + o*m - 19, 0 = 4*m - 4. Calculate the remainder when c is divided by 4.
3
Let p(c) = c**3 - 31*c**2 - 121*c + 188. What is the remainder when p(36) is divided by 232?
224
Suppose y - 233 = -2*i, -23*y + 18*y = 3*i - 1130. Let z = -199 + y. Calculate the remainder when 119 is divided by z.
23
Suppose -n + 4023 = l, 24*l + 4028 = n + 26*l. Calculate the remainder when n is divided by 149.
144
Suppose 8*p = 3*p + 4*s + 628, 0 = -2*p - 4*s + 240. Suppose 63 + 32 = 3*n - 2*l, 0 = -4*n + 4*l + p. Calculate the remainder when 138 is divided by n.
6
Let g = -74 - -96. Suppose 3*c - 15 = 0, 3*c - g = -4*x + 57. Let n = x - 13. What is the remainder when 17 is divided by n?
2
Let j(k) = -54*k + 111. Suppose -3*v + 176 = -4*t, 4*v - 3*t - 102 - 128 = 0. What is the remainder when j(0) is divided by v?
55
Let k(b) = -b**2 + 64*b - 605. Calculate the remainder when 1450 is divided by k(12).
6
Let u(h) = h**3 - 12*h**2 + 13*h - 4. Suppose 2*f + 25 + 20 = a, 4*a - 200 = -2*f. Suppose 0 = 4*i - 93 + a. What is the remainder when u(11) is divided by i?
7
Let h(a) be the second derivative of 3*a**3 - a**2 + 2*a. Let k = 194 + -191. What is the remainder when h(k) is divided by 18?
16
Let f(r) = 5*r**2 + 18*r - 53. Calculate the remainder when f(4) is divided by 146/14 + 33/(-77).
9
Let c be (3 - 0) + 28/7 + -5. Suppose -c*m - 3*k + 779 = 0, 4*m + 4*k - 2023 + 475 = 0. Calculate the remainder when m is divided by 55.
52
Let b = -1371 - -1452. Calculate the remainder when b is divided by (1 - -3)/(-4) + 44.
38
Let n(j) be the third derivative of -j**4/12 - 19*j**3/6 - 2*j**2 - 14*j. What is the remainder when 41 is divided by n(-21)?
18
Suppose -8*n = -n - 5698. Suppose -4*s = 18*s - n. What is the remainder when 71 is divided by s?
34
Let g be 60/40 + (-2746)/(-4). Suppose -v = 0, -g + 1908 = 5*x - v. What is the remainder when x is divided by 35?
34
Suppose c = 4*g - 145, c + 7 - 10 = 0. What is the remainder when (-3)/(2 - 5)*369 is divided by g?
36
Let l = 4382 + -2456. What is the remainder when l is divided by 69?
63
Suppose -129*i + 2828 = 8*i + 65*i. Calculate the remainder when 100 is divided by i.
2
Let k be 1074/15*25/(-2). Let w = k - -912. Calculate the remainder when w is divided by 11.
6
Suppose 51*y = -5*z + 46*y + 51865, -4*z - y = -41519. Calculate the remainder when z is divided by 212.
206
Suppose -12 = -4*v - 0. Suppose -v*n + 18 = -n. Calculate the remainder when (6 - -7)*(-2 - -1)/(-1) is divided by n.
4
Let i = 51 + -20. Let k be 5578/(-16) + (-54)/16 + 3. Let l = -259 - k. What is the remainder when l is divided by i?
28
Let b(o) = o**3 + 5*o**2 - 9*o - 14. Suppose 0 = 3*w - m + 7, -120*m + 123*m + 3 = -3*w. What is the remainder when b(w) is divided by 5?
1
Let a = -7160 - -8543. What is the remainder when a is divided by 153?
6
Let c = 10622 - 9171. Calculate the remainder when c is divided by 62.
25
Suppose 5*r + h - 26 = 3*h, -5*r + 8 = 4*h. Suppose -2*i + r*y - 112 = 0, -5*y + y + 162 = -3*i. Let q = i - -63. What is the remainder when 51 is divided by q?
12
Suppose -215*g + 90 = -212*g. What is the remainder when (-6 + 846/g)/((-3)/(-105)) is divided by 19?
17
Suppose 0 = -49*d + 46*d + 9. Suppose -45 = d*w - 282. Calculate the remainder when w is divided by 28.
23
Let o(x) = 265*x - 785. Calculate the remainder when o(16) is divided by 26.
23
Suppose 11 + 3 = 2*h. Suppose -3*c + 573 = -j + 551, 5*c - 2*j = 36. Suppose -z + h = -c. Calculate the remainder when z is divided by 6.
3
Let r(v) = -23*v - 80. Suppose 13*b - 223 - 570 = 0. Calculate the remainder when r(-11) is divided by b.
51
Let m = 4975 - 4645. What is the remainder when m is divided by 77?
22
Suppose 3*x = 3*y + 5655, -2*y = -4*x - 843 + 8379. What is the remainder when x is divided by 313?
5
Let o = 39 - 38. What is the remainder when 51 is divided by (-1 - o)*(-24)/6?
3
Let r(h) = -62*h + 2. Let u be r(1). What is the remainder when 115 is divided by u/(-2)*(0 + 14/21)?
15
Let g(m) = -m**3 - 3*m**2 + 3*m - 2. Let i be g(-3). Let j = -1 + i. What is the remainder when 20 is divided by ((-20)/15*j)/2?
4
Let m be 0 - 193/(-15) - (-12)/90. Let c = 44 - m. Calculate the remainder when 129 is divided by c - (-8)/(-10)*15/(-6).
30
Let q be -4*(3/1)/(-6). Suppose 0 = -q*i + i + 26. Let h(o) = -2*o**3 - 8*o**2 + 6*o + 106. Calculate the remainder when h(-5) is divided by i.
22
Suppose -16*f - 24 = -22*f. Let i(b) = 3*b**2 - 7*b - 4. What is the remainder when i(f) is divided by 11?
5
Let p = -3099 + 3204. Calculate the remainder when 398 is divided by p.
83
Let k(n) = 1337*n**2 + 6445*n + 2. Calculate the remainder when k(-5) is divided by 57.
5
Let x = 14 + 113. Let g = -71 + x. Let s = g + -50. Calculate the remainder when 15 is divided by s.
3
What is the remainder when 3469 is divided by 3/4 - (-33)/((-660)/(-69085))?
14
Let a(f) = -f**3 - 5*f**2 - f - 2. Let x be a(-5). Suppose -r - 8 = -4*k - 11, -3*k + 24 = x*r. What is the remainder when 52 is divided by r?
3
Suppose 137*d = -149*d + 7722. Let p = 45 - -224. Calculate the remainder when p is divided by d.
26
Suppose 0 = -o - 150 + 60. Let k = 225 + o. Suppose 13*s = -111 + 553. What is the remainder when k is divided by s?
33
Let k(r) = r**3 + 11*r**2 + 67*r + 594. Let w be k(-10). Let i(b) = 3*b**2 + b + 1. Let a be i(3). Let c = a - w. What is the remainder when c is divided by 1?
0
Suppose 0 = 5*l + 10 + 35. Let w be (-3)/l - (-476)/12. Suppose 2*x - w = -2*g, -4*x + 6*g - 4*g + 98 = 0. What is the remainder when x is divided by 10?
3
Suppose 0 = 10*q - 9*q. Suppose -72 = -q*b + b. Let u = b + 84. Calculate the remainder when 20 is divided by u.
8
Suppose -v + 20 = 16. Suppose -26 = -v*n + s, 0 = -2*n - s + 2*s + 12. Suppose b - 2*b + n = k, 4*b = 4*k - 60. Calculate the remainder when 27 is divided by k.
5
Let k = -150 - -283. Suppose -47 = -u + 4*q, -2*q + 80 = 5*u - k. What is the remainder when u is divided by (8/(-3))/((-4)/18)?
7
Let v(t) = -117*t + 0 + 9 + 57*t + 61*t. Let i be v(-11). What is the remainder when 57 is divided by 9*(3/(-9) - i - 0)?
12
Let g(q) = q**2 + 3*q - 1. Let z be g(2). Let m(r) = 6 - 1 - z + 5*r - 2. Calculate the remainder when m(20) is divided by 12.
10
Suppose 4*p + 2*f = 1240, 94*f - 97*f - 939 = -3*p. What is the remainder when 949 is divided by p?
16
Suppose 2*r + 11 = d + 2*d, 0 = 2*r + d - 9. Suppose 4*p + 4 = 0, 0 = r*b + 5*p - 270 - 301. Calculate the remainder when b is divided by 29.
27
Suppose -4*n - 4*o = -32, -3 = n - 2*n + 4*o. Let x(d) = 31*d - 202. Suppose 0 = 4*a + 12, 2*f + 4*a = -0 + 36. What is the remainder when f is divided by x(n)?
9
Suppose 0 = -8*g + 2865 - 2361. Calculate the remainder when 137 is divided by g.
11
Let q(r) = r**2 + 10*r + 11. Let z be q(-9). Suppose 132 = -2*s - z*s. What is the remainder when 2/(-3)*s - -1 is divided by 13?
10
Let y = 16985 - 12836. Calculate the remainder when y is divided by 24.
21
Let a(s) = -11 - 1 + 209*s - 226*s + 3*s**2 - 4*s**2. Let u be a(-16). Suppose -u = -5*x + 1. Calculate the remainder when 1 is divided by x.
0
What is the remainder when 2*(3 + -2) + 26 is divided by (432/135)/(48/90)?
4
Let j(h) = 26*h - 71. Let r be j(5). Let g = 167 + r. What is the remainder when g is divided by 38?
36
Let a(h) = -229*h - 792. Calculate the remainder when a(-4) is divided by 25.
24
Calculate the remainder when ((-5048)/(-5))/2 + 8/(-10) is divided by 31.
8
Let n be (-952)/(-48) + 2/12. Suppose -n = -5*x - 0. Calculate the remainder when x is divided by 2.
0
Let a(s) = 7*s - 144. Let h be 2/3*(-3 + 0). Calculate the remainder when a(38) is divided by (2 - (-1)/h)*14.
17
Let r(k) = -k**2 - 11*k + 38. Let h be r(-16). Let f = -32 - h. Suppose -f*m + 6*m + 80 = 0. What is the remainder when 96 is divided by m?
16
Suppose 3*i = 46*j - 41*j + 247, -i + 80 = -4*j. What is the remainder when 1677 is divided by i?
81
Suppose 14*f - 5 - 51 = 0. Suppose 0 = t - r - 1 - 40, -12 = -f*r. What is the remainder when 2/(t/(-48) + 1) is divided by 13?
11
What is the remainder when 0 - (