he remainder when j is divided by 51.
46
Suppose 3*r = -12*r + 120. What is the remainder when (8 - 8)/r - -48 is divided by 32?
16
Let f be 402/24 + (-20)/(-16) + -1. Calculate the remainder when 1*(f - (12/4 - 5)) is divided by 12.
7
Let g(y) = -32*y + 504. Calculate the remainder when g(11) is divided by 99.
53
Suppose 4*j - 69 = -3*z, 87 = -5*z + j + 225. Suppose -5603 = -z*v - 1121. Let g = 56 - 28. What is the remainder when v is divided by g?
26
Suppose 2*f - 21 = 4*o - 69, 0 = -2*f + 12. What is the remainder when 417 is divided by o?
12
Suppose 4*f - 188 = 5*l - 9*l, 5*f = 3*l - 125. Let i(x) = -x**3 - 4*x**2 - 3*x. Calculate the remainder when -5 - 1 - 9/(l/(-610)) is divided by i(-5).
36
Let d = -499 + 495. Let v(j) = -2*j**3 - 6*j**2 - 2*j + 11. Calculate the remainder when 99 is divided by v(d).
48
What is the remainder when 9/15 + (-1804)/(-110) is divided by 4?
1
Let m = 819 - 763. Calculate the remainder when m is divided by 19.
18
Suppose -5488 = 15*i - 5698. Let r = -54 + 90. What is the remainder when r is divided by i?
8
Let n(p) = 132*p + 581. Calculate the remainder when 8583 is divided by n(-4).
50
Let h(u) = u**2 - 9*u + 61. Calculate the remainder when h(11) is divided by 3.
2
Suppose -7*r + 92 = -3*r - 3*i, 2*r + 3*i - 64 = 0. Suppose 124 = 30*b - r*b. Calculate the remainder when 151 is divided by b.
27
Let p = -108 + 393. Suppose -2*f = -74 - 118. What is the remainder when p is divided by f?
93
Let a = -8989 - -9098. What is the remainder when a is divided by 103?
6
Let a = -4 + 48. Let d(u) = -2*u**2 + 3*u + 71. Let k be d(13). Let o = 241 + k. Calculate the remainder when a is divided by o.
5
Let f(n) = n**2 - 174*n + 7072. Calculate the remainder when f(63) is divided by (-4)/10 + (-404)/(-10).
39
Let v(h) = -241 + 4*h**2 - 31*h - 36 - 54. Calculate the remainder when v(-10) is divided by 76.
75
Suppose -16*q + 15*q - 3*p + 4229 = 0, 3*p + 8386 = 2*q. What is the remainder when q is divided by 281?
271
Let d be ((-12)/(-10))/(10/25). Suppose 2*j + 14 = -4*z, -d*j - 4*z + z - 6 = 0. Calculate the remainder when 36 is divided by j/(-15) - 132/(-10).
10
Let d(f) = 12*f**2 - 5*f - 20. Let g = 242 - 171. Calculate the remainder when g is divided by d(-2).
33
Suppose 8 + 24 = -m. Calculate the remainder when 76 is divided by m/8 - (-3 - 24).
7
Let q be 2/4 - 150/60. Suppose 4*l - 2*a - 222 = 0, -2*l + 5*a = 3*a - 108. Calculate the remainder when l is divided by 0/q + 78/13 + 25.
26
What is the remainder when 948 is divided by (1 - 4/(-12))/(6 - (-952)/(-159))?
100
Let y(p) = -p**3 + 7*p**2 - 2*p + 11. Let r be ((-2)/3)/(168/(-27) - -6). Calculate the remainder when y(6) is divided by ((-48)/10 + r)*-5.
8
Let q(d) = -45*d - 93. Let w be q(-5). Suppose -39*r = -33*r - w. What is the remainder when 63 is divided by r?
19
Let w be 20/100 + 1482/15. Suppose p - w - 39 = 0. What is the remainder when p is divided by 20?
18
Let w = 2402 + -2197. What is the remainder when w is divided by 15?
10
Let i be (-4)/30 - (3 - 546/45). Let x = 9 + -3. Calculate the remainder when (-89)/(-3) + -3 + 21/i is divided by x.
5
Let m = 34 + -20. Let v = m - 11. Suppose v*z = -z + 140. What is the remainder when z is divided by 13?
9
Suppose 3*v - 13*i = -9*i + 190, -4*v + i = -249. Suppose -4*x + 2 + 2 = 0, 2*w + 4*x = 94. Calculate the remainder when v is divided by w.
17
Suppose 4*u = 8 + 4. Let x be -2 + u + -1 + -102. Let s = x - -213. Calculate the remainder when s is divided by 28.
27
Let n(l) be the third derivative of -l**4/2 + 27*l**3/2 + 19*l**2. Let a be n(18). Let w = a - -204. Calculate the remainder when w is divided by 18.
15
Suppose -166 = -2*u - 2*g, -u + 3*g = u - 141. Suppose -5*f + 344 = -k + u, 3*f = -k + 166. Calculate the remainder when f is divided by 9.
0
Suppose -985 - 1983 = 229*g - 243*g. Let k(c) = 3*c**3 - 2*c**2 + 2*c + 4. Calculate the remainder when g is divided by k(3).
66
Calculate the remainder when 954 is divided by 195 + 25*(52/(-5) + 10).
29
Suppose 1 = -4*u - 3*f, 0*u = 3*u - 4*f + 32. Let b(n) = 3*n**2 + 12*n + 14. What is the remainder when 61 is divided by b(u)?
5
Suppose 4*k - 2*u + 15 - 5 = 0, 3 = -k + u. What is the remainder when 501 is divided by 1/k*-103*2 + -2?
97
Suppose 27*t - 63 = 7686. What is the remainder when t is divided by 33?
23
Suppose 4*i = 888 + 316. Suppose i*q - 306*q + 25 = 0. Calculate the remainder when 5 is divided by q.
0
Suppose -32*q + 245 = -555. Suppose 0 = k - 0*k. Suppose s = -h - 2*s + 125, -h - 5*s + 127 = k. Calculate the remainder when h is divided by q.
22
Let o(u) = -u + 10. Let f be o(11). Let v(c) = -311*c + 6. What is the remainder when v(f) is divided by 20?
17
Let n = -958 - -1830. Suppose 184*k = 192*k - n. What is the remainder when k is divided by 12?
1
Let c(u) be the third derivative of u**5/30 + u**3/2 + 3*u**2 + 14*u. Calculate the remainder when c(3) is divided by 16.
5
Let t(w) = 42*w + 7. Suppose -5*d - 81 = o - 313, 4*d - 176 = -4*o. What is the remainder when t(3) is divided by d?
39
Let i(h) = 5 + 6*h**2 - 4 - 4*h**2 + h. Calculate the remainder when i(-2) is divided by 4.
3
Let w = 31 - 15. Let n be 1*((-5)/1)/(-5). Calculate the remainder when (2/(-4) - n)/(49/(-1960)) is divided by w.
12
Suppose 500*f - 469*f = 41 + 145. Calculate the remainder when 1674/21 - 2/(-7) is divided by f.
2
Let f(u) = -68*u + 710. Calculate the remainder when f(5) is divided by 116.
22
Let c(t) = -49*t. Suppose -141*s - 792 = -229*s. Calculate the remainder when c(-6) is divided by s.
6
Suppose -4*q + 652 = -4*u, 3*u + q + 200 + 273 = 0. Let p = u - -227. Calculate the remainder when p is divided by -1 + (-49)/(-2) + 9/(-18).
22
Suppose -q = 28*q + 134627 - 369411. Calculate the remainder when q is divided by 324.
320
Let j = 94 + -41. Let q = j + -23. Let u = 44 - q. What is the remainder when 36 is divided by u?
8
Let i(v) be the first derivative of -v**2 + 11*v - 6. Let f be i(7). What is the remainder when 44 is divided by (-8)/f*48/8?
12
Let p = -66 + 284. Suppose 42*t + 51 - 1225 = 170. What is the remainder when p is divided by t?
26
Calculate the remainder when 173 is divided by ((-3850)/(-1375))/(1/5).
5
Let s = -16 - -20. Let x(v) = -18*v**3 + 8*v**2 + 9*v + 2. Calculate the remainder when x(-1) is divided by s.
3
Let d(j) = -j**3 + 16*j**2 + j - 11. Let m be d(16). Let c(b) = -2*b**2 + 8*b - 6. Let z be c(m). What is the remainder when (-12)/z - 69/(-4) is divided by 7?
4
What is the remainder when (-2)/(4 + -2) - -79 is divided by 7 + 52 + (-12 - (-7 - -7))?
31
Let n = -12351 - -12391. What is the remainder when 1115 is divided by n?
35
Suppose f = -3*k + 59, 0 = 5*f - k + 5*k - 295. Let h = 39 + f. Suppose -2*b + 13 - 44 = -3*l, -43 = -4*l + b. What is the remainder when h is divided by l?
10
Calculate the remainder when 1/((-3095)/3100 + 6 - 5) is divided by 69.
68
Let p(u) = -u**3 + 8*u**2 - 15*u + 22. Let g be p(5). Suppose 10*x = g*x - 528. Calculate the remainder when 118 is divided by x.
30
Suppose 4*v - 106 = -0*r - r, 5*v + r = 133. Suppose 26 = -4*l + 210. Calculate the remainder when l is divided by v.
19
Suppose a + 530 = 6*a. Let d = a - 103. Suppose 0 = d*r - 2*r - 75. What is the remainder when r is divided by 7?
5
Suppose 19*w + 6282 = 7669. Suppose 75 = -12*d + 17*d. Calculate the remainder when w is divided by d.
13
Suppose 167 - 11 = 3*p. Let t = p + -29. Let x = 587 - 404. What is the remainder when x is divided by t?
22
Let c = 1869 + -1710. Let a = 4 - -4. What is the remainder when c is divided by a?
7
Suppose 0 = 5*q + 3*u - 992, 111 = 4*q - 5*u - 653. Suppose -2*i + 4 = -i, 2*i = 4*y - q. What is the remainder when y is divided by 22?
7
Suppose -10 = i - 15. Suppose 5*j - u = u + 128, -5*j - 2*u = -132. Suppose 0 = -3*k + 1 + j. What is the remainder when k is divided by i?
4
Let m(j) = 2*j**2 - 6*j + 14. Let c(l) be the second derivative of l**2/2 + 18*l. Let x(u) = -3*c(u) + m(u). What is the remainder when 94 is divided by x(4)?
18
What is the remainder when 378 is divided by -246*6/60*-5?
9
Let r = -79 - -113. Suppose 0*y - 3*y = 4*f - 9, r = 4*f - 2*y. Suppose -4*h + 5*h - 1 = 0, 0 = 3*u + h - 55. What is the remainder when u is divided by f?
0
Suppose 16*q - 588 - 1201 = -509. What is the remainder when q is divid