*d**3 + 25/7*d**2 + z - 16/7*d = 0.
1/3, 3/4, 1
Let h(x) be the second derivative of x**7/483 - x**6/345 - 9*x**5/230 + 13*x**4/138 + 8*x**3/69 - 12*x**2/23 - x + 277. Determine p so that h(p) = 0.
-3, -1, 1, 2
Let h(u) = -u**3 - 3*u**2 - u + 1. Let t(z) = 4*z**3 - 18*z**2 - 166*z - 248. Let r(i) = -5*h(i) - t(i). Factor r(n).
(n + 3)**2*(n + 27)
Let c(k) be the third derivative of 51*k**2 + 1/105*k**7 + 5/4*k**4 + 2*k - 1/4*k**6 - 14/3*k**3 + 0 + 13/30*k**5. Suppose c(r) = 0. What is r?
-1, 1, 14
Let j = -179339 + 179341. What is x in -12/7 - 2/7*x**3 + 0*x**2 + j*x = 0?
-3, 1, 2
Let w = -646620 - -8406070/13. Factor -8/13*l**3 - 2/13*l**4 + 0 + w*l**2 + 0*l.
-2*l**2*(l - 1)*(l + 5)/13
Let y(c) be the third derivative of 5*c**8/336 + c**7/42 - 3*c**6/8 + 11*c**5/12 - 5*c**4/6 + 127*c**2. Solve y(r) = 0 for r.
-4, 0, 1
Let f(b) = 2*b - 14. Let c be f(8). Let t(u) = -7*u**2 - u + 5*u**c - 8*u**2 - 9*u. Let v(q) = q**2 + q. Let z(k) = 6*t(k) + 65*v(k). Solve z(r) = 0.
-1, 0
Let o(f) be the first derivative of -f**4/4 + 91*f**3/3 - 1320*f**2 + 24768*f + 1877. Solve o(j) = 0 for j.
24, 43
Suppose 90*m - 128*m + 798 = 0. Let f be (m/2 - 11)*0. Factor 1/4*p**4 + 2*p**2 + 4*p - 7/4*p**3 + f.
p*(p - 4)**2*(p + 1)/4
Let z(t) be the second derivative of -10*t**4 - 5/42*t**7 + 0 - 7*t**5 - 5/3*t**6 + 15*t + 0*t**2 + 0*t**3. Factor z(i).
-5*i**2*(i + 2)**2*(i + 6)
Let k(t) be the first derivative of 1/7*t**2 + 2/21*t**3 - 12/7*t + 17. Suppose k(o) = 0. What is o?
-3, 2
Factor 74*p - 2/13*p**2 + 0.
-2*p*(p - 481)/13
Let w(f) be the third derivative of 13*f**2 + 5/48*f**4 + 1/720*f**6 - 1/40*f**5 + 0 - 11/6*f**3 + 0*f. Let k(t) be the first derivative of w(t). Factor k(s).
(s - 5)*(s - 1)/2
Let q(l) be the second derivative of 10/21*l**4 + 1/70*l**5 + 0*l**2 - 1/105*l**6 + 0*l**3 + 214*l + 0. Factor q(r).
-2*r**2*(r - 5)*(r + 4)/7
Let p(s) be the first derivative of 3*s**4/4 - 1065*s**3 + 1134225*s**2/2 - 134216625*s - 545. Factor p(m).
3*(m - 355)**3
Let l(j) be the second derivative of -j**5/20 - 7*j**4/12 + j**2 + 11*j. Let z be l(-7). Suppose -28*p + 7*p**z + 43*p - 2*p**2 = 0. What is p?
-3, 0
Factor 1760*s**2 - 118/3*s**3 + 0 + 2/9*s**4 - 15488/9*s.
2*s*(s - 88)**2*(s - 1)/9
Let u(h) be the third derivative of 0*h + 1/735*h**7 + 90*h**2 - 1/42*h**6 + 0*h**3 + 0 + 2/35*h**5 + 6/7*h**4. Determine y, given that u(y) = 0.
-2, 0, 6
Find r such that -36/19 + 2/19*r**3 - 18/19*r + 4/19*r**2 = 0.
-3, -2, 3
Let 1/10*j**2 - 104/5 + 9/5*j = 0. Calculate j.
-26, 8
Suppose -10*n + 14538 = -7*n. Solve 100 + 52*u**4 - 4422*u**2 - 232*u**3 - 336*u - 4*u**5 + n*u**2 - 4*u = 0 for u.
1, 5
Let v be 158/30 + (4214/258 - 21). Factor v*s + 18/5 - 3/5*s**2.
-3*(s - 3)*(s + 2)/5
Suppose 23428*d - 23430*d + 3*p + 25 = 0, -p - 3 = 2*d. Factor 1/2*j**d - 49/2*j - 25.
(j - 50)*(j + 1)/2
Let g = 6817 - 6817. Let f(w) be the second derivative of -8*w**2 - 2*w**3 + 11*w + g + 1/3*w**4. Factor f(s).
4*(s - 4)*(s + 1)
Let c(g) be the third derivative of 1/20*g**6 + 0 + 1/60*g**5 + 0*g**4 + 3/70*g**7 + 0*g + 0*g**3 + 1/84*g**8 + 137*g**2. Let c(n) = 0. What is n?
-1, -1/4, 0
Let r(k) be the second derivative of k**5/240 - 5*k**4/16 - 55*k**2/2 + 35*k + 1. Let d(a) be the first derivative of r(a). Let d(m) = 0. Calculate m.
0, 30
Determine n so that -4318 - n**3 + 51401*n - 1430*n**2 - 152201*n + 211678 - 4*n**3 = 0.
-144, 2
Let u = -692 + 697. Let r be u + 2 + (-4 + -3 - -2). Factor -2/11*b - 6/11*b**3 + 6/11*b**r + 2/11*b**4 + 0.
2*b*(b - 1)**3/11
Let q(v) be the first derivative of v**7/6720 - v**6/2880 - v**5/160 + 4*v**3 + 11. Let l(b) be the third derivative of q(b). Factor l(x).
x*(x - 3)*(x + 2)/8
Let r(x) = -2*x**3 + 2*x**2 + x + 3. Let p(b) = 7*b**3 + 233*b**2 - 734*b + 486. Let z(d) = p(d) + 2*r(d). Let z(l) = 0. Calculate l.
-82, 1, 2
Solve 1493/4*w**3 + 1/8*w**5 - 10383/4*w**2 - 27075/8 - 111/8*w**4 - 50939/8*w = 0.
-1, 19, 75
Let r be (22*476/(-44880))/((-21)/12). Find b, given that -r*b**2 - 2/15*b + 0 + 2/15*b**3 + 2/15*b**4 = 0.
-1, 0, 1
Let n(b) be the second derivative of 0 - 4*b**4 + 1/56*b**7 - 32*b + 3*b**5 + 0*b**2 - 17/40*b**6 + 0*b**3. Factor n(q).
3*q**2*(q - 8)**2*(q - 1)/4
Let v be (-56525)/(-2964) - 17 - (5 + 183/(-36)). Factor 10/13*g**2 + v*g + 16/13.
2*(g + 2)*(5*g + 4)/13
Suppose -8*k + 24 = -2*k. Suppose -4*l - q = 7 - 35, 0 = -4*l + k*q + 48. Factor 3*n + 123*n**3 - l*n**2 + 10 - 118*n**3 - 2*n**2 - 8*n.
5*(n - 2)*(n - 1)*(n + 1)
Let q(y) = -y - 1. Let u(l) be the second derivative of -l**4/6 + 4*l**3/3 - 11*l**2 - 23*l. Let z(x) = -4*q(x) + u(x). Find p such that z(p) = 0.
3
Suppose 978*l - 114*l + 43*l - 49752 = -475*l. Factor -166/3*u - 2*u**2 - l.
-2*(u + 27)*(3*u + 2)/3
Let k(u) be the first derivative of -u**4/3 - 200*u**3/3 - 3648*u**2 + 46208*u/3 + 4152. Factor k(g).
-4*(g - 2)*(g + 76)**2/3
Let z = -6561 + 6564. Suppose 0 + 0*a + 0*a**2 + 2/9*a**5 + 20/9*a**z + 14/9*a**4 = 0. What is a?
-5, -2, 0
Factor -57/2*d - 27/2 - 5/4*d**3 - 131/8*d**2 + 1/8*d**4.
(d - 18)*(d + 1)**2*(d + 6)/8
Factor 986*x + 988 - 1/2*x**3 + 245*x**2.
-(x - 494)*(x + 2)**2/2
Let t = 1733839 - 8669159/5. Solve -42/5*u**2 + 2/5*u**3 + 16 + t*u = 0.
-1, 2, 20
Let k be (-4)/(-14) + (416/(-168))/(4/(-6)). Let y(z) be the first derivative of 3*z**3 + 9/2*z**2 + 3*z + 3/4*z**k + 10. Suppose y(d) = 0. What is d?
-1
Let o(g) = -39*g**3 + 519*g**2 - 2502*g - 6840. Let d(s) = 16*s**3 - 209*s**2 + 1001*s + 2736. Let t(x) = 12*d(x) + 5*o(x). What is h in t(h) = 0?
-2, 12, 19
Let a be ((-2)/15*6)/(22/(-55)). Determine i, given that 0*i**3 - 2*i**3 - 11*i**2 + 20 + 155*i - 9*i**a - 153*i = 0.
-10, -1, 1
Find d, given that 53*d**4 - 55*d**4 - 144 - 519*d - 26*d**4 - 28*d**2 + 184*d**3 + 135*d = 0.
-1, -3/7, 2, 6
Solve 535*y**2 - 4*y**4 - 1621*y**2 - y**3 + 537*y**2 + 541*y**2 - 11*y**3 = 0.
-2, -1, 0
Let -6*m + 0 + 1/4*m**3 + 5/2*m**2 = 0. Calculate m.
-12, 0, 2
Solve -24919*w**3 - 173*w + 12*w**2 - 4*w**4 + 9*w + 24971*w**3 + 104 = 0.
-2, 1, 13
Let -458/5*z**3 - 888/5*z + 1562/5*z**2 - 218/5*z**4 + 2/5*z**5 + 0 = 0. What is z?
-4, 0, 1, 111
Let n = 4/14707 - -5338177/1706012. Let y = n - -18/29. Factor 5/4 + y*t**2 - 5/4*t**3 - 15/4*t.
-5*(t - 1)**3/4
Let g(y) = 2*y**4 + 2*y**3 + y**2 - y - 1. Let w(i) = 13*i**4 - 6*i**3 + 23*i**2 - 6*i - 6. Let v(f) = 6*g(f) - w(f). Factor v(a).
-a**2*(a - 17)*(a - 1)
Let y(v) be the first derivative of 9 - 20/3*v**3 - 1/3*v**6 + 0*v - 8*v**2 + 8/5*v**5 + 3/2*v**4. Solve y(w) = 0 for w.
-1, 0, 2, 4
Let q(s) be the first derivative of -s**4/12 + 6*s**3 - 162*s**2 - 26*s + 90. Let b(d) be the first derivative of q(d). Factor b(j).
-(j - 18)**2
Let h(b) be the first derivative of 4*b**5 + 199*b**4/3 + 344*b**3 + 504*b**2 + 288*b - 350. Suppose h(p) = 0. What is p?
-6, -2/3, -3/5
Let d(n) be the first derivative of -n**4/28 - n**3/2 - 9*n**2/7 + 84*n - 179. Let t(y) be the first derivative of d(y). Factor t(u).
-3*(u + 1)*(u + 6)/7
Let x = 6074 + -6072. Factor -12/5*f - 2/5*f**x + 14/5.
-2*(f - 1)*(f + 7)/5
Let s = 6207 + -465517/75. Let r(t) be the first derivative of -1/3*t**2 + 2/15*t**4 - s*t**5 + 4/15*t - 1 + 1/45*t**6 + 4/45*t**3. Solve r(f) = 0 for f.
-1, 1, 2
Factor 105*a**2 - 159*a**2 + 4*a**4 + 54*a**2 - 1096*a**3.
4*a**3*(a - 274)
Let u = 278347 - 278343. Factor 1/7*s**4 - 24/7 - 6/7*s**2 + 3/7*s**3 - u*s.
(s - 3)*(s + 2)**3/7
Let b(c) = 76*c**2 + 28*c + 240. Let g(n) = 16*n**2 + 6*n + 48. Let p(y) = -5*b(y) + 24*g(y). Determine j so that p(j) = 0.
-4, 3
Suppose 4680*v = 4*s + 4677*v + 21, -v = -11. Let 3/7*u**s + 16/7*u**2 + 12/7*u - 16/7 = 0. Calculate u.
-4, -2, 2/3
Factor -396/5 + 4/5*o**2 - 392/5*o.
4*(o - 99)*(o + 1)/5
Let b(y) = -3*y - 19. Let h be b(-6). Let u be (7 - 5) + (8 - h). Factor n + 5*n**2 + 36 + u*n**2 + 2*n - 51*n.
4*(2*n - 3)**2
Find r such that 63*r**3 + 105 - 436*r**2 + 334*r**2 - 3*r**4 - 108*r + 45*r**3 = 0.
-1, 1, 35
Factor 1/6*q**2 - 61/6*q - 31/3.
(q - 62)*(q + 1)/6
Suppose 67*o + 149 = -207*o + 149. Let l(r) be the second derivative of -3/70*r**5 + 4/3*r**3 + 24/7*r**2 - 1/105*r**6 + 1/7*r**4 + 26*r + o. Factor l(z).
-2*(z - 3)*(z + 2)**3/7
Let x(l) be the second derivative of 21/20*l**5 + 6 + 37/4*l**4 + 5*l**3 + 0*l**2 + 2*l. Suppose x(m) = 0. Calculate m.
-5, -2/7, 0
Let t(x) be the third derivative of 2*x 