the second derivative of p**4/18 - 398*p**3/9 + 39601*p**2/3 + 21*p + 9. Find u, given that f(u) = 0.
199
Let u be (-64)/1 + 629610/8124. Factor 1/6*r**3 - 19/6*r**2 + 33/2*r - u.
(r - 9)**2*(r - 1)/6
Let h = 365/198 + 164/99. Let y(t) be the first derivative of 8*t - 1/3*t**3 - h*t**2 + 13. Find q such that y(q) = 0.
-8, 1
Suppose 4*b - 2*v - 10 = 0, 11*v = -4*b + 14*v + 9. Let q(z) be the first derivative of 3/5*z**5 + 6*z**2 - 3/2*z**4 + 12*z - b*z**3 + 22. Factor q(l).
3*(l - 2)**2*(l + 1)**2
Let o(z) be the second derivative of -2/7*z**3 + 1/20*z**5 + 1 - 1/21*z**4 + 0*z**2 + 56*z - 1/210*z**6. Factor o(h).
-h*(h - 6)*(h - 2)*(h + 1)/7
Let a(j) be the third derivative of -389017*j**7/420 - 79935*j**6/16 - 16133*j**5/20 - 659*j**4/12 - 2*j**3 + 183*j**2. Factor a(i).
-(i + 3)*(73*i + 2)**3/2
Let f be ((-76)/728)/(1/(-786)) + 300/1300. Suppose -f - 1/7*s**2 + 48/7*s = 0. What is s?
24
Let z be (-2 - 3)/5*11/(-55). Let b(d) be the first derivative of 0*d + z*d**2 + 4 - 2/15*d**3. Let b(f) = 0. What is f?
0, 1
Let i = -573/736 + 1677/736. Let 1/2*h**3 + 3/2 - i*h**2 - 1/2*h = 0. Calculate h.
-1, 1, 3
Factor 0*x**2 + 0 + 2/3*x**3 - 8/9*x + 2/9*x**4.
2*x*(x - 1)*(x + 2)**2/9
Let d(f) = -f**2 - 5*f + 8. Let b be d(-6). Let w(o) = o**3 - 10*o**2 - 11*o + 15. Let n be w(11). Determine y, given that 4*y - n*y - 9 - 3*y**b - y = 0.
-3, -1
Suppose -17*k + 113*k = 11*k + 48*k + 555. Solve -k*t**2 + 2/5 - 19/5*t = 0 for t.
-1/3, 2/25
Find i, given that 5 - 9*i**2 - 36*i - 4*i**2 + 6*i**2 + 2 - 12*i = 0.
-7, 1/7
Let k be (-14 - -8) + 0 + 49/(-21) + 10. Find z such that -1/3*z - z**4 + 0 - k*z**2 - 7/3*z**3 = 0.
-1, -1/3, 0
Suppose 5*j = 13 - 3, s = j. Factor -2086*n + 4153*n - 30*n**3 + 45*n**s - 2087*n + 5*n**4.
5*n*(n - 4)*(n - 1)**2
What is c in -4*c**5 + 80*c**4 + 56*c**2 + 95*c**2 + 121*c**2 + 16*c + 76*c + 264*c**3 = 0?
-1, 0, 23
Let r(j) be the first derivative of 5*j**4/12 + 5*j**3/6 - 5*j**2 + 6*j + 55. Let z(s) be the first derivative of r(s). Factor z(d).
5*(d - 1)*(d + 2)
Let t(m) be the second derivative of -1/80*m**5 + 6*m + 1/3*m**3 - 5/48*m**4 + 2 + 6*m**2. Factor t(o).
-(o - 3)*(o + 4)**2/4
Let f = -20456818/15 + 1363788. Factor -4/5*p**3 - f*p**4 + 0*p + 0 + 14/15*p**2.
-2*p**2*(p - 1)*(p + 7)/15
Let b(x) be the third derivative of 2*x**7/525 + 31*x**6/150 + 17*x**5/5 + 15*x**4/2 + 3*x**2 - 1435. Factor b(g).
4*g*(g + 1)*(g + 15)**2/5
Suppose -6*g + 138 = 684. Let q be ((-4)/(-16))/(g/(-56)). Find c, given that -q*c**3 + 2/13*c**2 + 2/13*c - 2/13*c**4 + 0 = 0.
-1, 0, 1
Let f(j) be the third derivative of -j**7/525 + 6*j**6/25 + 77*j**5/30 + 3384*j**2. Factor f(x).
-2*x**2*(x - 77)*(x + 5)/5
Let x(f) be the third derivative of f**7/1575 - 19*f**6/225 + 334*f**5/75 - 1064*f**4/9 + 15680*f**3/9 - 2*f**2 - 2*f - 1540. Determine h so that x(h) = 0.
10, 28
Let p(v) = -38*v + 156. Let m be p(4). Let t be (m/(-7) + 1)/(15/10). Factor t*j + 4/7 - 4/7*j**2 - 2/7*j**3.
-2*(j - 1)*(j + 1)*(j + 2)/7
Let v be 16 - (-5 - (-15 - -13)). Let y(a) be the first derivative of 1/14*a**4 - 2/7*a + 2/21*a**3 - 1/7*a**2 + v. What is n in y(n) = 0?
-1, 1
Let c(o) be the third derivative of -o**6/105 - 5*o**5/21 - 2*o**4/7 + 1881*o**2. Suppose c(k) = 0. Calculate k.
-12, -1/2, 0
Suppose 5*l = -5*w + 10, 2*l - 13 + 5 = -4*w. Suppose 0 = -w*j - 2*f + 44, -6 = -2*f - 0. Factor j*n + 11*n + 8*n - 100 + 22*n - 9*n**2.
-(3*n - 10)**2
Let s(x) be the third derivative of 23*x**8/10080 + x**7/5040 - x**5/20 + 25*x**4/24 + 24*x**2. Let f(w) be the third derivative of s(w). Factor f(a).
a*(46*a + 1)
Let t be (6*11/8)/(3731/2132). Suppose 17/7*u - t*u**4 + 31/7*u**2 - 17/7*u**3 + 2/7 = 0. Calculate u.
-1, -1/3, -2/11, 1
Let w be 3*(-6)/(-15) + (-6)/30. Let s(m) = 11*m - 5. Let i be s(w). Find n such that 3/2*n**3 - i - 15/2*n**2 + 12*n = 0.
1, 2
Let p(j) = -157*j + 10521. Let u be p(67). Factor 2/3*q**u + 0 + 0*q - 4/3*q**4 + 2/3*q**3.
-2*q**2*(q - 1)*(2*q + 1)/3
Let j(t) be the third derivative of -t**8/1008 - 17*t**7/630 + 199*t**6/120 - 1139*t**5/180 + 70*t**4/9 - 3*t**2 + 1864*t + 2. Solve j(y) = 0.
-35, 0, 1, 16
Suppose -41 = -3*c + 5*q, -q + 15 = 5*c + 12. Factor 13/8*j + 3/8 + 1/2*j**c.
(j + 3)*(4*j + 1)/8
Suppose -5*z = 0, -9*l + 2*z = -7*l - 6. Suppose -3*t + l*h + 18 = 0, -2*h - h - 6 = t. Factor 0*p + 0*p - 233*p**2 + 2*p**t + 241*p**2.
2*p**2*(p + 4)
Let t(u) be the third derivative of -u**8/1512 + 8*u**7/315 - 83*u**6/270 + 44*u**5/45 - 121*u**4/108 - 1229*u**2 - 2. Determine k so that t(k) = 0.
0, 1, 11
Let p(u) be the first derivative of u**5/15 - 37*u**4/3 + 5326*u**3/9 + 1850*u**2 + 1875*u - 919. Factor p(k).
(k - 75)**2*(k + 1)**2/3
Suppose -5*y + 200 = o - 549, -4*o - 2*y = -3032. Let f be 339/26 + o/(-138). Solve 2/13*a**2 + f - 28/13*a = 0 for a.
7
Factor -97579*a**3 - 2*a**4 + 97606*a**3 - 10*a - 12*a**2 - 3*a.
-a*(a - 13)*(a - 1)*(2*a + 1)
Suppose 4*d + 2*s - 25 = 33, -5*d + 35 = -5*s. Suppose -34*r - d = -38*r. Factor 26*f**2 + 6*f**2 - 2*f**r + 14*f - 18*f**3 + 2*f.
-4*f*(f - 2)*(5*f + 2)
Let w(v) be the second derivative of v**4/6 + 40*v**3 + 3600*v**2 + 26*v - 11. Factor w(m).
2*(m + 60)**2
Let z = 83 - 47. Let r = 38 - z. Factor -10*l**4 - 5*l**3 + 5*l**r + 2*l**4 + 5*l**5 + 5*l**2 - 2*l**4.
5*l**2*(l - 2)*(l - 1)*(l + 1)
Let r be (-3)/(9/(-36) - (-3)/(-4)). Factor 2*a**4 + 2*a**2 - 4*a**4 + 87*a**3 + 16*a - 103*a**r.
-2*a*(a - 1)*(a + 1)*(a + 8)
Suppose -14*o - 3*w = -93, -151*o + 154*o = 4*w - 59. What is y in 11/2*y**2 + 1/2*y**o + 7/2*y - 147/2 = 0?
-7, 3
Let p be 5/(225/(-6)) - (-2 + 55/30). Let v(n) be the second derivative of -2/15*n**3 - p*n**4 - 29*n + 0 - 1/5*n**2. Factor v(q).
-2*(q + 1)**2/5
Let k be ((-288)/20)/((-630)/(-600)). Let h = 920/63 + k. Factor 2/3*j - 2/9*j**2 + h.
-2*(j - 4)*(j + 1)/9
Let f be 10/40 - ((-8577)/5280)/3. Let h = 3/352 + f. Suppose 12/5*t**2 - 12/5*t - 4/5*t**3 + h = 0. What is t?
1
Let r(p) be the first derivative of p**4/2 - 334*p**3/3 + 166*p**2 - 1548. Factor r(s).
2*s*(s - 166)*(s - 1)
Suppose 4*m - 5*m - 11 = 0. Let s be (11 + -1)*m/(-22). Find b, given that -56*b**s - 131*b**3 - 216*b**4 - 5 + 9*b**2 + 8*b**5 - 88*b**3 + 51*b - 4 = 0.
-3, -1, 1/4
Let c = 11122/238553 - -178/643. Let x = -2/53 + c. Let -6/7*g**4 - 4/7*g**5 + 0 + 6/7*g**2 + x*g + 2/7*g**3 = 0. What is g?
-1, -1/2, 0, 1
Suppose -3*l + 75 = 3*c, -l - 5*c - 78 = -3*l. Let o = l - 22. Factor -5*a**2 + 7*a**2 - o*a**2 + 3*a**2 - 10*a - 8.
-2*(a + 1)*(a + 4)
Let w(b) = 4*b**2 - 24*b + 230. Let d be w(22). Let z be (d/(-49))/(-9)*1 - 2. Factor z - 2/7*n**2 - 2/7*n.
-2*(n - 2)*(n + 3)/7
Let t = -643 - -638. Let a be (-50)/t + (-35)/5. Factor 0 - 5/4*o**2 + 5/4*o**4 - 5/4*o**5 + 5/4*o**a + 0*o.
-5*o**2*(o - 1)**2*(o + 1)/4
Let l(n) be the third derivative of 1/30*n**5 - 1/525*n**7 + 0*n**3 - 35*n**2 + 0 - 1/100*n**6 - 1/30*n**4 + 2*n + 1/840*n**8. Factor l(w).
2*w*(w - 1)**3*(w + 2)/5
Let y(b) be the second derivative of b**6/40 - 7*b**4/8 - 3*b**3 - 183*b**2/2 - 3*b + 4. Let p(d) be the first derivative of y(d). Let p(v) = 0. What is v?
-2, -1, 3
Let x(d) be the first derivative of -26/9*d**3 - 193 - 24*d - 16*d**2 - 1/6*d**4. Factor x(a).
-2*(a + 1)*(a + 6)**2/3
Suppose s - 4*r - 37 = 0, 2 = -4*s - 3*r + 55. Factor 57*b**2 - 36*b**3 + s*b**2 - 162*b**2 + 16*b + 24*b**2.
-4*b*(b + 2)*(9*b - 2)
Suppose -2*g**2 + 175*g + 7*g**2 - 254959 + 255439 = 0. What is g?
-32, -3
Suppose 107*f + 315 - 173 = 178*f. Factor -9/5*o - 3/5*o**f + 12/5.
-3*(o - 1)*(o + 4)/5
Let g be (74/(-56) + 1)/(-1 - (8 - -6)). Let s(k) be the third derivative of -24*k**2 + 0*k**4 + 0*k + 0 + 3/40*k**5 - g*k**7 + 1/10*k**6 + 0*k**3. Factor s(d).
-3*d**2*(d - 3)*(3*d + 1)/2
Let w(j) be the third derivative of 17*j**8/168 + 216*j**7/35 - 1981*j**6/60 + 192*j**5/5 + 41*j**4/3 + 1699*j**2 + 2. Determine o so that w(o) = 0.
-41, -2/17, 0, 1, 2
Factor 4*v**4 - 174*v**2 - 196*v**3 - 15478*v - 2814*v**2 + 340*v**2 + 3130*v - 684*v**2.
4*v*(v - 63)*(v + 7)**2
Factor -292 - 286/3*r + 2/3*r**2.
2*(r - 146)*(r + 3)/3
Suppose 16*r - 16 = 20*r - 4*l, l + 8 = -r. Let q be (-105)/(-294) + (-9)/r. Factor 0 - 9/7*a**4 - q*a**2 + 20/7*a**3 + 2/7*a.
-a*(a - 1)**2*(9*a - 2)/7
Let t(f) be the third derivative of 26*f**4 - 1/105*f**7 - 193/30*f**5 - 48*f**3 + 0*f + 13/30*f**6 + 0 - 60*f**2. Find