20/7*o**3 + 2/7*o**4 = 0.
0, 1, 8
Factor -1/10*r + 1 - 3/10*r**2.
-(r + 2)*(3*r - 5)/10
Let s(x) be the second derivative of x**4/30 + 31*x**3/15 + 5166*x. Factor s(z).
2*z*(z + 31)/5
Let d(u) be the second derivative of u**4/28 + 205*u**3/7 + 318*u + 3. Factor d(r).
3*r*(r + 410)/7
What is k in 56568*k**4 + 82*k**2 + 9*k**2 - 9*k**3 + 9*k - 56569*k**4 - 90 = 0?
-15, -1, 1, 6
Let q(h) be the third derivative of 2*h**7/525 + 1649*h**6/150 + 302499*h**5/25 + 11151837*h**4/2 + 220625532*h**3/5 - 1637*h**2 + 2*h. Solve q(n) = 0 for n.
-549, -2
Let n(v) be the first derivative of -v**3/18 - 9*v**2 + 109*v/6 - 822. Factor n(y).
-(y - 1)*(y + 109)/6
Let g(u) be the first derivative of -u**6/2 - 18*u**5/5 - 39*u**4/4 - 12*u**3 - 6*u**2 + 1798. Suppose g(q) = 0. What is q?
-2, -1, 0
Let o(u) = 58*u - 61. Let j be o(2). Let 2949*c**2 + j*c**3 + 2964*c**2 - 5963*c**2 - 5*c**4 = 0. What is c?
0, 1, 10
Let i = 25/702 - -769/1404. Let m(q) be the third derivative of 0 + 4/45*q**5 + 2*q**3 + 29*q**2 - 1/180*q**6 - i*q**4 + 0*q. Factor m(h).
-2*(h - 3)**2*(h - 2)/3
Let l be 1/(-2)*(-10)/(-15)*(-184)/115. Let h(o) = -o**2 + 9*o + 136. Let y be h(17). Factor 0*p + 0*p**3 + 2/15*p**4 - l*p**2 + y.
2*p**2*(p - 2)*(p + 2)/15
Let n be -5 - (-18 + (16 - 5)). Let k(m) be the second derivative of -1/12*m**4 + m**n - 17*m + 0 - 1/6*m**3. Determine h so that k(h) = 0.
-2, 1
Let w(k) be the second derivative of k**5/20 + 2*k**4 - 2178*k. Factor w(j).
j**2*(j + 24)
Let q = 298838 - 298838. Determine c, given that q - 15*c + 6*c**2 + 3/4*c**3 = 0.
-10, 0, 2
Factor 122*f**2 + 91*f**3 + 4*f**4 + 721*f**2 - 9952*f + 257*f**2 + 81*f**3 - 7548*f.
4*f*(f - 7)*(f + 25)**2
Let a(z) be the third derivative of -3*z**5/5 + 721*z**4/2 - 519841*z**3/6 + 2*z**2 - 52*z + 10. Find p such that a(p) = 0.
721/6
Suppose -8 = -6*d + 16. Factor -31*j - 4*j**2 + 4*j**5 + 29*j + 4*j**d - 2*j**5.
2*j*(j - 1)*(j + 1)**3
Let r be 108/72 + ((-1)/(-1 - -3) - 1). Suppose 8/7*i**3 + 12/7*i**4 + r - 12/7*i**2 - 8/7*i = 0. Calculate i.
-1, -2/3, 0, 1
Let b(c) = c**2 - 56*c + 561. Let s be b(43). Let l(a) be the second derivative of 1/60*a**6 + 25*a**4 + 0 - 41*a - 1000/3*a**3 + 2500*a**s - a**5. Factor l(x).
(x - 10)**4/2
Let o = -27 + 36. Suppose 8*m - o*m = -3. Determine g so that -5 + 5 - 3*g**2 - m*g = 0.
-1, 0
Factor -16 - 43/3*r - 7/2*r**2 - 1/6*r**3.
-(r + 2)*(r + 3)*(r + 16)/6
Let d(c) be the second derivative of -3*c**5/4 - 11*c**4/2 - 31*c**3/2 - 21*c**2 - 3273*c. Factor d(x).
-3*(x + 1)*(x + 2)*(5*x + 7)
Let z(s) be the first derivative of s**3/6 - 784*s**2 + 1229312*s - 3287. Determine o so that z(o) = 0.
1568
Suppose -5*h = -2*h - 6. Let f be (5/(-100)*6)/(((-1296)/1125)/48). Determine k so that -f - 5*k - 1/2*k**h = 0.
-5
Let f(t) be the third derivative of t**7/42 - 43*t**6/12 - 15*t**5 + 215*t**4/3 + 1760*t**3/3 - 33*t**2 + 2*t + 7. Factor f(n).
5*(n - 88)*(n - 2)*(n + 2)**2
Let d(m) be the third derivative of 126*m**2 - 1/150*m**5 - 23/60*m**4 + 0*m - 22/15*m**3 + 0. Factor d(r).
-2*(r + 1)*(r + 22)/5
Let v(q) = -q**3 - 28*q**2 - 151*q - 2574. Let f be v(-26). Find l such that 3/4*l**2 + f - 51/4*l = 0.
0, 17
Let m = -34081 - -34084. Factor 0 + 3/2*l**5 + 39/2*l**2 + 45/2*l**m + 6*l + 21/2*l**4.
3*l*(l + 1)**3*(l + 4)/2
Solve 453098/5*r**2 + 2/5*r**4 + 1916/5*r**3 - 2770536/5*r + 4181832/5 = 0.
-482, 3
Let g(t) = 5*t**2 + 693*t - 5400. Let r be g(-146). What is w in 4/3 - 2/3*w**3 + w**r - 1/3*w**4 + 8/3*w = 0?
-2, -1, 2
Let a(t) be the first derivative of -4*t**3/3 - 3188*t**2/7 + 1824*t/7 + 2760. Factor a(j).
-4*(j + 228)*(7*j - 2)/7
Suppose 580 - 621 = -41*i. Let f be -7 + i - (-3 + -3 + 0). Factor 0 + 2/5*m**4 - 3/5*m**2 - 1/5*m**3 + f*m.
m**2*(m + 1)*(2*m - 3)/5
Determine s, given that 2/9 - 23/9*s + 11/9*s**2 = 0.
1/11, 2
Let l = -568/3 - -2843/15. Let t(h) be the first derivative of -1/4*h**4 + l*h**5 + 0*h + 1/6*h**6 - 1/3*h**3 - 5 + 0*h**2. Find u such that t(u) = 0.
-1, 0, 1
Suppose 169*h - 238 = 50*h. Let g(v) be the first derivative of -15 + 2/35*v**5 + 10/7*v**h - 50/7*v - 5/7*v**4 + 16/7*v**3. Solve g(f) = 0 for f.
-1, 1, 5
Let i(h) = 17*h**2 + 9*h + 90. Let t(q) = -10*q**2 - 5*q - 60. Let u(c) = 5*i(c) + 8*t(c). Factor u(y).
5*(y - 2)*(y + 3)
Let f(v) be the third derivative of 22*v**2 + 32/15*v**3 + 2/5*v**4 + 0 + 1/600*v**6 + 1/25*v**5 + v. Find d such that f(d) = 0.
-4
Let o(u) be the first derivative of -u**5/50 - u**4/5 + 21*u**3/5 - 113*u**2 + u - 109. Let q(k) be the second derivative of o(k). Factor q(s).
-6*(s - 3)*(s + 7)/5
Let r = -14353 + 14353. Let 1/3*u**3 + 2/3*u**4 - 1/3*u**5 - 2/3*u**2 + 0*u + r = 0. Calculate u.
-1, 0, 1, 2
Suppose -33 = -5*c + 87. Suppose c*y - 900 = 19*y. Factor -60*d**2 + 10*d + 162*d**5 - 2/3 - 270*d**4 + y*d**3.
2*(3*d - 1)**5/3
Let w(z) be the second derivative of -1/150*z**6 - 109*z + 0 - 2/15*z**4 + 1/10*z**5 - 1/3*z**3 + 9/10*z**2. Factor w(t).
-(t - 9)*(t - 1)**2*(t + 1)/5
Suppose -y - 2*l = -18, -127*y = -132*y + l + 101. Suppose 13 = -3*u + 19. Factor -8*g**u + 50/3*g**5 + 0 - 22/3*g**3 + y*g**4 + 8/3*g.
2*g*(g + 1)**2*(5*g - 2)**2/3
Let p(g) be the third derivative of g**7/490 + 3*g**6/28 + 7*g**5/5 + 57*g**4/7 + 176*g**3/7 - 97*g**2 + 5. Find t such that p(t) = 0.
-22, -4, -2
Let s(d) = -d**3 + 9*d**2 + 7*d + 32. Suppose 9*w = 10*w - 2*q - 2, -5*w + 3*q = -38. Let c be s(w). Factor -1/4*l**c + 1/2*l + 3/4.
-(l - 3)*(l + 1)/4
Suppose -5*z - 7*f = -8*f - 12, 15 = 2*z + 3*f. Suppose -42*c - 92*c**3 + 68*c**2 + 208*c**2 + 30*c**4 - 130*c**z - 39*c**2 - 3*c**4 = 0. Calculate c.
0, 2/9, 1, 7
Let u(r) = -7*r - 53. Let d be u(-17). Let z = d - 63. Solve -3*v**4 - 3 + 5*v**2 - 3*v**5 + v**2 - 3*v - 49*v**3 + 55*v**z = 0 for v.
-1, 1
Suppose -2 = s - 2*s. Suppose 93*n - 2 + 6 = 4. Factor 8/7*i**s + n - 4/7*i**3 - 4/7*i.
-4*i*(i - 1)**2/7
Suppose -9*s + 6*s = 4*z - 86, z - 12 = 4*s. Factor 1120*k**2 + 52 - 4 + z*k - 1122*k**2.
-2*(k - 12)*(k + 2)
Let h be (-346518)/(-13041) - (21 - -1). Suppose 4/7*r**2 + h - 36/7*r = 0. Calculate r.
1, 8
Suppose 0 = -68*g + 52*g + 128. Find w, given that -366*w**4 + 9*w + 363*w**4 + 5*w**2 - 15*w + g*w**3 = 0.
-1, 0, 2/3, 3
Let i(h) be the third derivative of 97*h**4/24 - 50*h**3 + 16*h**2 + h. Let n be i(4). Factor 24 + 242/3*q**2 + n*q.
2*(11*q + 6)**2/3
Let c = 23673/14204 + 1/42612. Determine d so that -35/3*d + 50/3 + c*d**2 = 0.
2, 5
Let q(m) be the third derivative of m**5/120 + 5*m**4/12 - 7*m**3/4 - 1600*m**2. Determine i so that q(i) = 0.
-21, 1
Determine d so that -586*d**2 - 1003*d**2 - 2923*d**2 + 14700 - 4*d**4 + 10640*d + 184*d**2 - 77*d**3 - 195*d**3 = 0.
-35, -1, 3
Let g(t) be the second derivative of -t**8/1680 - t**7/210 - 145*t**4/12 - 80*t. Let p(b) be the third derivative of g(b). Factor p(k).
-4*k**2*(k + 3)
Let j be 475/570 + (-4)/6. Let h(x) be the third derivative of -1/30*x**6 + 0 + 8*x**2 - j*x**4 - 2/15*x**5 + 0*x**3 + 0*x. Let h(g) = 0. What is g?
-1, 0
Find h, given that 428/5 + 1/5*h**2 + 216/5*h = 0.
-214, -2
Let s(q) be the second derivative of q**6/600 + q**5/100 + q**4/60 + 29*q**2 - 33*q. Let w(v) be the first derivative of s(v). Let w(r) = 0. What is r?
-2, -1, 0
Suppose 19*f + 3 = 20*f. Find z such that -z**4 - 1633*z**2 - 110*z + 1033*z**2 + 110*z**f + 605 - 4*z**4 = 0.
-1, 1, 11
Let z(i) be the first derivative of 46/9*i**3 - 29/6*i**2 - 17/6*i**4 - 1/18*i**6 - 139 + 7/3*i + 11/15*i**5. Suppose z(n) = 0. What is n?
1, 7
Suppose -12*x + 9 = -15. Factor -121 + 3*s**3 + 14*s**2 + 121 + 48*s + 10*s**x.
3*s*(s + 4)**2
Suppose 8 = -52*f + 8. Let x(h) be the first derivative of 10 - 3/10*h**4 - 3/5*h + 3/5*h**2 + f*h**3 + 3/25*h**5. Factor x(j).
3*(j - 1)**3*(j + 1)/5
Let 0 - 3*y**3 + 1/3*y**5 + y**2 - 1/9*y**4 + 0*y = 0. Calculate y.
-3, 0, 1/3, 3
Let u(c) be the second derivative of c**6/6 + 55*c**5/4 - 95*c**4/4 - 275*c**3/6 + 140*c**2 - 2198*c. Suppose u(o) = 0. Calculate o.
-56, -1, 1
Suppose -20*h + 5 = -35. Determine p so that 90 + 96*p + p**2 - 666 - 5*p**h = 0.
12
Suppose c - 2*c + 4 = 0. Let n = -30603/5 - -6121. Factor 24/5*b**3 + n*b**5 + 0 + 6/5*b - 4*b**2 - 12/5*b**c.
2*b*(b - 3)*(b - 1)**3/5
Let v(x) be the first derivative of x**5/96 + x**4/32 + x**3/48 - x**2/2 - 18*x - 63. Let r(i) be the second derivative of v(i). Factor r(m).
(m + 1)*(5*m + 1)/