e p(1). Let 205*w**5 + 18*w**g - 15*w**4 - 202*w**5 + w - w = 0. Calculate w.
0, 2, 3
Let l = -86 - -88. Suppose l*d - 13 = -2*g - 3, 5*g = 4*d + 25. Determine m, given that 1/3*m + 0*m**4 - 2/3*m**3 + 1/3*m**g + 0*m**2 + 0 = 0.
-1, 0, 1
Factor -40 - 1/5*l**2 - 102/5*l.
-(l + 2)*(l + 100)/5
Let n(i) be the second derivative of -i**7/21 - 19*i**6/5 - 389*i**5/5 + 189*i**4 + 4379*i**3/3 + 2523*i**2 - 3295*i. Determine b so that n(b) = 0.
-29, -1, 3
Suppose 45 = -7*v - 33*v + 165. Factor 3/7*k**4 - 27/7*k**v + 12*k**2 + 48/7 - 108/7*k.
3*(k - 4)*(k - 2)**2*(k - 1)/7
Let l = 22 - 19. Suppose -5 = -n, j + l*j = n + 55. Determine t, given that 3*t**2 + j*t + 5 - 3 - 20 = 0.
-6, 1
Let q(w) be the second derivative of 0*w**3 - 1/18*w**4 + 0 - 117*w + 1/3*w**2. Suppose q(d) = 0. Calculate d.
-1, 1
Let f(r) be the first derivative of r**5/15 + 529*r**4/6 + 279841*r**3/9 + 191. Factor f(z).
z**2*(z + 529)**2/3
Let q(g) = 25*g**2 + 52*g - 464. Let a(x) = -3*x**2 - 5*x + 2. Let y(r) = -24*a(r) - 3*q(r). Factor y(t).
-3*(t - 16)*(t + 28)
Let t(d) be the second derivative of -d**4/3 + 1508*d**3/3 - 284258*d**2 + 779*d. Factor t(m).
-4*(m - 377)**2
Let j(w) be the third derivative of -w**8/1176 + 43*w**7/1470 - 65*w**6/168 + 248*w**5/105 - 83*w**4/14 + 48*w**3/7 + w**2 + 1030. Solve j(y) = 0 for y.
1/2, 1, 6, 8
Let a(m) be the first derivative of -m**6/720 + m**5/72 + 3*m**2/2 - 2*m + 29. Let t(r) be the second derivative of a(r). Find p, given that t(p) = 0.
0, 5
Let b be (-1 - (-28)/(1820/45))*-13. Factor 0 + 0*u - 1/3*u**b + 3*u**3 + 10/3*u**2.
-u**2*(u - 10)*(u + 1)/3
Factor 116/9*u + 118/9*u**2 + 0 + 2/9*u**3.
2*u*(u + 1)*(u + 58)/9
Let 2/5*o**2 + 1516/5*o + 0 = 0. Calculate o.
-758, 0
Let y be (-9454)/116 + 81 - (26/(-36) + -2). Factor -188/9*h + 56/9 + 112/9*h**2 + y*h**3.
4*(h - 1)*(h + 7)*(5*h - 2)/9
Let k(i) be the third derivative of 0*i**4 + 0 - 4/135*i**6 + 0*i + 106*i**2 + 0*i**5 + 1/945*i**7 + 0*i**3. Determine c, given that k(c) = 0.
0, 16
Suppose -4*g = 4*n - 16, 3*n + 8 + 0 = 2*g. Let d = 8 + -5. Factor 6*p**4 + p**4 + 4*p**d - 2*p**3 - 2*p - 5*p**g - 2*p**2.
2*p*(p - 1)*(p + 1)**2
Let r(j) be the second derivative of j**5/10 - j**4/2 - 12*j**3 - 32*j**2 + 581*j + 1. Factor r(c).
2*(c - 8)*(c + 1)*(c + 4)
Let b(y) = -6*y**2 + 166*y + 1. Let a(h) = h**2 - 25*h + 1. Let q(p) = 35*a(p) + 5*b(p). Factor q(u).
5*(u - 8)*(u - 1)
Let f(n) be the first derivative of 40898*n**5/25 + 20306*n**4/5 - 1142*n**3/15 + 2*n**2/5 - 4190. Suppose f(h) = 0. Calculate h.
-2, 0, 1/143
Let f be 14/10 + (-37 - (-1615)/38)*2. Determine n, given that -6*n**3 - 4/5*n + 0 + f*n**2 = 0.
0, 1/15, 2
Let n(m) be the first derivative of 9*m**5/20 - 165*m**4/8 - 39*m**3/4 + 111*m**2/4 - 3275. Let n(t) = 0. Calculate t.
-1, 0, 2/3, 37
Let z(o) be the first derivative of o**4/20 - 163*o**3/15 - 66. Factor z(m).
m**2*(m - 163)/5
What is a in 1140/7*a**3 - 2/7*a**5 + 0 - 1144/7*a**2 + 382/7*a - 376/7*a**4 = 0?
-191, 0, 1
Let v(g) be the third derivative of 1/30*g**6 + 0 + 0*g**4 - 26*g**2 + 0*g + 0*g**3 + 1/15*g**5. Determine q so that v(q) = 0.
-1, 0
Determine q so that 344/7*q**2 - 704/7*q + 0 + 4/7*q**3 = 0.
-88, 0, 2
Let o(t) be the second derivative of -t**6/90 - 7*t**5/60 + 7*t**4/12 + 3*t**3/2 + 1322*t. Suppose o(x) = 0. What is x?
-9, -1, 0, 3
Let g = -1304 + 1306. Let f(n) be the third derivative of 0*n**4 + 15*n**g + 0*n**3 - 1/40*n**6 + 0 + 0*n + 1/20*n**5. Factor f(u).
-3*u**2*(u - 1)
Suppose -936 = d - 930. Let x be ((-33)/d + -4)*20/15. Let -2/7*i**4 + 0 - 2/7*i - 6/7*i**x - 6/7*i**3 = 0. What is i?
-1, 0
Let d be -5 + 2 + (-17348)/(-160) - (-6)/16. Factor -1/5*k**2 - 46/5*k - d.
-(k + 23)**2/5
Let m(g) be the third derivative of -1/5*g**6 + 0*g - 1/168*g**8 + 4/15*g**5 + 0*g**4 + 2/35*g**7 - 72*g**2 + 0*g**3 + 0. Let m(i) = 0. What is i?
0, 2
Determine n so that 64*n**2 + 32 - 3*n**5 - 47*n - 57*n + 16*n**3 - 40*n**3 + 68*n**2 + 25*n**4 - 58*n**3 = 0.
1, 4/3, 2
Factor 5820*c - 5*c**4 + 5801*c - 12101*c + 260*c**2.
-5*c*(c - 6)*(c - 2)*(c + 8)
Let h(v) be the third derivative of -v**8/84 - 44*v**7/105 - 22*v**6/5 - 202*v**5/15 - 91*v**4/6 - 874*v**2. Let h(u) = 0. What is u?
-13, -7, -1, 0
Let v(l) be the second derivative of 25*l**7/14 - 211*l**6/2 - 4092*l**5/5 - 2138*l**4 - 2248*l**3 - 1128*l**2 - 3121*l. Let v(u) = 0. Calculate u.
-2, -2/5, 47
Let u = -231877 + 231879. Find c such that 132/13*c + 2/13*c**u + 2178/13 = 0.
-33
Let t be (-10)/((-42)/12 + 3 - 0). Suppose -5*h + s + 4 = -9*h, 5*s + t = h. Let h + 6/5*u**5 + 0*u + 18/5*u**3 + 4/5*u**2 + 4*u**4 = 0. What is u?
-2, -1, -1/3, 0
Let k(b) be the third derivative of 0*b**4 + 0*b**3 + 0*b - b**2 + 1/30*b**5 + 38 + 1/105*b**7 + 1/30*b**6. Factor k(m).
2*m**2*(m + 1)**2
Let n be (-6)/(-60) + 46/(-460). Let k(s) be the second derivative of -1/3*s**3 - 1/6*s**4 + n*s**2 + 1/15*s**6 + 1/10*s**5 + 0 - 22*s. Factor k(y).
2*y*(y - 1)*(y + 1)**2
Let z(d) be the second derivative of d**7/2520 - 49*d**4/12 + d**2 - 76*d. Let k(f) be the third derivative of z(f). Factor k(t).
t**2
Let a(o) = -o**3 + 61*o**2 + 503*o. Let h(l) = -2*l**3 + 60*l**2 + 500*l. Let w(t) = -4*a(t) + 3*h(t). What is c in w(c) = 0?
-16, 0
Suppose -169*m + 22*m + 441 = 0. Let b(g) be the third derivative of 0*g + 1/60*g**5 + 1/4*g**4 + 24*g**2 + 0 - 7/6*g**m. Suppose b(k) = 0. What is k?
-7, 1
Let i be 2*(-4)/(-40) + (-462)/(-990). Let f(y) be the first derivative of i*y**3 + 20*y**2 + 200*y - 44. Factor f(q).
2*(q + 10)**2
Let s(f) be the first derivative of -f**5/180 - 29*f**4/36 - 841*f**3/18 + f**2/2 + 55*f + 1. Let n(r) be the second derivative of s(r). Factor n(y).
-(y + 29)**2/3
Find z such that 0 - 4*z**5 - 4/3*z**3 + 32/3*z**2 + 16/3*z - 32/3*z**4 = 0.
-2, -1, -2/3, 0, 1
Let i be (-9 - -6 - -4)*(12 - 1). Factor 21/2*k**2 + 1/2*k**4 + 4 + 4*k**3 + i*k.
(k + 1)**2*(k + 2)*(k + 4)/2
Suppose 374 = 29*s - 7*s. Find y such that -36 + 21*y**3 + s*y - 66*y - 53*y - 15*y**2 - 30*y = 0.
-2, -2/7, 3
Suppose -328 - 3*p**2 + 181*p + 40*p + 2*p**2 + 108*p = 0. Calculate p.
1, 328
Let n(f) be the second derivative of f**5/110 - 235*f**4/66 + 4641*f**3/11 - 13689*f**2/11 - 3*f - 59. Determine b, given that n(b) = 0.
1, 117
Suppose 14*n + 173 = -3761. Let c = n + 283. Solve -6*t + 1/4*t**4 + 9/4 + 11/2*t**2 - c*t**3 = 0.
1, 3
Let f(m) = 41*m**2 + 71*m - 22. Let j(n) = -4*n**2 - 7*n + 2. Let w(r) = -6*f(r) - 62*j(r). What is b in w(b) = 0?
-2
Let y be 41/(-656)*0*2/4. Suppose -4/3*h**2 - 14/3*h**3 + y + 0*h = 0. Calculate h.
-2/7, 0
Let m = 101693/12 - 8474. Let p(b) be the second derivative of 0 + 26*b + 1/4*b**5 - 5/6*b**3 - m*b**4 + 5/2*b**2. Find d, given that p(d) = 0.
-1, 1
Factor -10*r**5 - 19*r**3 - 50*r + 13*r**5 - 15*r**4 - 4*r - 129*r**2 - r**3 - 73*r**3.
3*r*(r - 9)*(r + 1)**2*(r + 2)
Let p(y) = 2*y - 11. Let f be p(7). Factor -5*c + f*c + 5*c**2 + 0*c - 2*c - c.
5*c*(c - 1)
Let i(n) be the second derivative of n**6/6 + 11*n**5/4 + 95*n**4/12 + 15*n**3/2 + 747*n. Solve i(h) = 0.
-9, -1, 0
Let i(j) be the second derivative of -5*j**7/252 + 4*j**6/9 + 5*j**5/24 - 50*j**4/9 - 5*j**3/9 + 80*j**2/3 - 1133*j. Solve i(f) = 0 for f.
-2, -1, 1, 2, 16
Let q(o) = 14*o**2 + 6*o - 12. Let f be q(6). Let g be 56*8*3/f. Find r such that 2/11*r**2 + 98/11 - g*r = 0.
7
Let s be (-4 + 5)*8*(-15)/(-60). Factor 5/2*j + 3 - 2*j**s.
-(j - 2)*(4*j + 3)/2
Let p(z) be the third derivative of 1/672*z**8 + 1 + 0*z**4 + 0*z**3 - 1/105*z**7 + 1/48*z**6 - 15*z**2 - 1/60*z**5 + 0*z. Solve p(i) = 0.
0, 1, 2
Let s = 3035 - 3032. Let p(x) be the first derivative of -6*x + 27/2*x**2 - 16 + 21/5*x**5 - 27/4*x**4 - 5*x**s. Let p(y) = 0. Calculate y.
-1, 2/7, 1
Let c be (-4 + 130/25)/(249/15 + -15). Solve c*z + 1/4*z**2 - 1 = 0 for z.
-4, 1
Let u(p) = -p**3 - 13*p**2 + 6*p + 30. Let j be u(-13). Let m = j + 51. Factor h**5 - 5*h**2 + 2*h**2 + 2*h**2 - h - 2*h**4 + m*h**2.
h*(h - 1)**3*(h + 1)
Let z(j) be the first derivative of 112/3*j - 306 - 10*j**2 + 2/9*j**3. Determine n, given that z(n) = 0.
2, 28
Suppose 12*q = 10*q + 24. Let k(o) = -57*o**2 + 85 + 95*o - q*o**2 - 26*o**2. Let b(j) = 8*j**2 - 8*j - 7. Let w(m) = -35*b(m) - 3*k(m). Factor w(y).
5*(y - 2)*(y + 1)
Suppose 4 = 7*w - 77*s + 75*s, -2*w = -5*s + 52. Let 0*r + 0 + 4/3*r**w + 64/3*r**3 - 68/3*r**2 = 0. Calculate 