**2 - 14*u - 4/3*u**3. Determine p so that s(p) = 0.
-14, -1/4
Let q be 21/28 - 3/12*-45. Let -q*c**4 + 36*c**3 + 42*c**2 - 473*c**5 + 470*c**5 - 12*c**3 - 30 - 21*c = 0. What is c?
-5, -1, 1, 2
Factor -924/5 - 3/5*v**2 - 117/5*v.
-3*(v + 11)*(v + 28)/5
Suppose -102*z + 104*z - 14 = 0. Let u(l) = 3*l - 18. Let d be u(z). Factor -32 + 4*c**d - 18*c - 24*c**2 + 46*c + 20*c.
4*(c - 2)**3
Let q(y) be the third derivative of y**5/180 - 5*y**4/24 - 248*y**3/9 - 870*y**2 - y. Determine t, given that q(t) = 0.
-16, 31
Let m(l) = 10*l. Let n be m(1). Let z be 4/n + (-40)/(-25). Determine f, given that -2*f**2 + 5*f**3 + f**3 - 14*f - 43 + 35 - z*f = 0.
-1, -2/3, 2
Factor 0 - 2/9*k + 1/9*k**2.
k*(k - 2)/9
Let s(b) be the second derivative of b**6/15 + 5*b**5/2 + 103*b**4/3 + 620*b**3/3 + 600*b**2 + 67*b. Factor s(v).
2*(v + 2)*(v + 3)*(v + 10)**2
Let n(r) be the second derivative of -3*r + 87/20*r**4 + 73167/10*r**2 - 18 - 2523/10*r**3 - 3/100*r**5. Factor n(x).
-3*(x - 29)**3/5
Let x(b) be the second derivative of -b**6/1080 - 133*b**3/6 - 3*b. Let d(k) be the second derivative of x(k). What is y in d(y) = 0?
0
Let l(f) be the second derivative of -5*f**4/12 + 125*f**3 + 36*f. Factor l(n).
-5*n*(n - 150)
Let g(f) = f**2 - 15*f - 52. Let s be g(18). What is l in -12*l**2 + 3 + 4*l**3 + 9*l**4 - 9*l**5 - 4*l**5 + 7*l**5 + s*l**3 = 0?
-1, -1/2, 1
Let p(d) be the second derivative of d**5/20 + 12*d**4 + 419*d**3/6 - 282*d**2 + 1323*d. Determine l, given that p(l) = 0.
-141, -4, 1
Let m be (6 + 56/6)*6. Suppose -6*j + m = 80. Let 2/5*f**2 - j*f + 0 = 0. Calculate f.
0, 5
Let u(v) = -4*v**3 - 203*v**2 + 94*v + 2196. Let h be u(-51). Suppose 4/3*d**h + 0 - 8/3*d**2 + 4/3*d = 0. Calculate d.
0, 1
Let r(u) be the second derivative of 5*u**6/42 - 193*u**5/7 + 24961*u**4/14 - 4246*u**3/3 + 847*u**2/2 - 2464*u. Find w such that r(w) = 0.
1/5, 77
Let f = 45717/50 - 2046/25. What is n in -144 + 858*n + f*n**3 + 75/2*n**4 - 1584*n**2 = 0?
-24, 2/5, 1
Let v(r) be the third derivative of -r**7/945 - 7*r**6/135 - 253*r**5/270 - 121*r**4/18 + 29*r**2 - 45*r. Factor v(y).
-2*y*(y + 6)*(y + 11)**2/9
Let t(q) = -2*q**2 - 12*q - 7. Let g be t(-5). Suppose 102*n - 143*n + 82 = 0. What is c in 8/3*c - 2/3*c**n + 8/3 - 2/3*c**g = 0?
-2, -1, 2
Factor -75/2*v**2 - 33 + 831/2*v.
-3*(v - 11)*(25*v - 2)/2
Let k = -6759 - -135181/20. Let s(t) be the first derivative of 8 + 0*t - 1/16*t**4 + 5/12*t**3 - 3/8*t**2 - k*t**5. Factor s(w).
-w*(w - 1)**2*(w + 3)/4
Let r = 644 - 742. Let b be 18/4 - (-147)/r. Find x such that -8/11 - 30/11*x**2 - 2/11*x**4 - 14/11*x**b - 26/11*x = 0.
-4, -1
Factor 35/4 + 33/4*l**2 + 69/4*l - 1/4*l**3.
-(l - 35)*(l + 1)**2/4
Suppose 0 = -3*t - 9 + 57. Suppose t = 7*v + 2. Factor -9/2*j**v + 3*j + 3/2*j**4 + 0*j**3 + 0.
3*j*(j - 1)**2*(j + 2)/2
Let p(n) be the first derivative of -n**6/180 + n**5/3 - 25*n**4/3 + 5*n**3/3 - 2*n + 24. Let h(w) be the third derivative of p(w). Factor h(t).
-2*(t - 10)**2
Let t be ((-13)/(-189) - 4/28)*(-54)/72. Let d(a) be the first derivative of -15 - 2/3*a + t*a**3 + 1/3*a**2 - 1/24*a**4. Factor d(g).
-(g - 2)*(g - 1)*(g + 2)/6
Let a be -6 - (7 - (-20 + 34)) - (1/1)/(-1). Factor 3/5*x**4 - 9/5*x**a - 12/5 - 6/5*x**3 + 24/5*x.
3*(x - 2)*(x - 1)**2*(x + 2)/5
Suppose 33 - 8 = 5*u. Find y such that 36*y**3 + 1 + 3*y - 26*y**4 + 2*y**u - 29*y + 17 - 12*y + 4*y**4 + 4*y**2 = 0.
-1, 1, 9
Let w be 7350/200 - 36 - (-102)/56. Solve 10/7*z - 8/7 + w*z**2 = 0.
-1, 4/9
Let k(c) be the first derivative of -c**5 - 65*c**4/4 - 55*c**3/3 + 65*c**2/2 + 60*c + 954. Solve k(o) = 0.
-12, -1, 1
Suppose 0 = -2*z - 0 + 10. Let u(w) = -7*w**2 + 13*w**2 - 2*w**3 - z*w**2 + w**3. Let q(s) = -8*s**3 + 6*s**2 + 6*s - 4. Let a(v) = q(v) - 6*u(v). Factor a(i).
-2*(i - 1)**2*(i + 2)
Let s(c) be the first derivative of 2*c**6/15 - 8*c**5/5 - 11*c**4/5 + 944*c**3/15 + 56*c**2/5 - 3136*c/5 - 206. What is y in s(y) = 0?
-4, -2, 2, 7
Suppose 9*m + 3*m - 36 = 0. Suppose -5*y + 40 = m*t, 3*t + y = 4*y. Factor -6*z**2 - 29*z**3 + 15*z**3 - 3*z**t + 23*z**3.
-3*z**2*(z - 1)**2*(z + 2)
Let c(w) = 5*w**3 - 273*w**2 - 110*w + 5. Let x be c(55). Find v such that 0*v + 0*v**3 - 2/3*v**x + 0 - 8/3*v**2 + 2*v**4 = 0.
-1, 0, 2
Let q be -2*(2/(-600))/(4*(-12)/(-15)). Let t(r) be the third derivative of 1/240*r**5 - 1/96*r**4 + 0 + q*r**6 - 1/24*r**3 + 0*r + 18*r**2. Factor t(m).
(m - 1)*(m + 1)**2/4
Let g(t) be the third derivative of -3 - 2/105*t**7 - 7/15*t**5 + 17*t**2 + 0*t**3 + 1/6*t**6 + 0*t + 1/2*t**4. Factor g(k).
-4*k*(k - 3)*(k - 1)**2
Let -3711/2*k**2 - 572886 + 574740*k + 3/2*k**3 = 0. Calculate k.
1, 618
Let j(y) = y**3 - 11*y**2 + 19*y + 9. Let l be j(9). Let k be 4/l + (-64)/1152. Factor -1/3*i + k*i**2 + 1/12*i**4 - 1/4 + 1/3*i**3.
(i - 1)*(i + 1)**2*(i + 3)/12
Let o(b) be the third derivative of -19/264*b**6 + 26*b**2 - 13/66*b**4 - 4/33*b**3 + 0 - 19/110*b**5 + 0*b - 5/462*b**7. Suppose o(y) = 0. Calculate y.
-2, -1, -2/5
Suppose 35*a = -4*b + 33*a + 6, -b = 5*a + 3. Let i(o) be the first derivative of 11 + o - 1/4*o**b - 1/6*o**3. Factor i(l).
-(l - 1)*(l + 2)/2
Suppose 0 = -23*c + 102*c - 141 - 96. Let y be (30/70)/((-2)/(-7)). Determine t, given that -12*t - y*t**c - 15/2*t**2 - 6 = 0.
-2, -1
Factor -330 - 1874*g**2 - 325*g + 941*g**2 + 938*g**2.
5*(g - 66)*(g + 1)
Suppose 5*l + 195 = 3*k, l = -2*l - 2*k - 117. Let n = l - -41. Find d such that -d**3 - 45 + 13*d**n - 16*d**2 - 32*d**2 + 6*d**3 + 75*d = 0.
1, 3
Let y(w) = -2*w**3 - w**2 + 10*w + 22. Let b be y(-4). Let u = b + -655/7. Determine g so that u + 3/7*g**2 - 6/7*g = 0.
1
Let d = 4575 - 4562. Let l(f) be the first derivative of 5/3*f**3 + 10*f + d + 15/2*f**2. Determine z so that l(z) = 0.
-2, -1
Let p(s) be the third derivative of -2*s**7/105 + 23*s**6/30 - 16*s**5/3 + 38*s**4/3 + 39*s**2 - 2*s - 14. Factor p(f).
-4*f*(f - 19)*(f - 2)**2
Let v(i) be the third derivative of -i**6/540 + 7*i**5/54 - 47*i**4/27 - 224*i**3/27 - i**2 + 2*i + 105. Factor v(o).
-2*(o - 28)*(o - 8)*(o + 1)/9
Let v be 3108/105 + -16 + ((-16)/10)/(-2). Let c(l) be the first derivative of 26/15*l**3 + 18/25*l**5 + 84/5*l**2 - 21/5*l**4 - 11 + v*l. Solve c(b) = 0 for b.
-2/3, 3
Suppose -3*o - f + 0 = -4, -5*f - 16 = -3*o. Let y be (-1184)/(-555) - (-1 - 0 - (-8)/6). Factor -6/5*k + 0 - y*k**o - 3/5*k**3.
-3*k*(k + 1)*(k + 2)/5
Let h be 2*(-11)/((-88)/12). Factor 4*x - 4*x**h + 12*x**2 + 48 - 2*x**3 + 60*x + 2*x**3.
-4*(x - 6)*(x + 1)*(x + 2)
Let m(u) be the third derivative of u**6/280 - 129*u**5/140 + 585*u**4/8 + 4225*u**3/14 + 465*u**2. Factor m(w).
3*(w - 65)**2*(w + 1)/7
Let z(s) be the second derivative of s**7/14 - 4*s**6/5 - 9*s**5/2 - 8*s**4 - 11*s**3/2 - 121*s - 6. Factor z(h).
3*h*(h - 11)*(h + 1)**3
Let f(g) = 17*g + 3. Let d be f(1). Factor -11*r**2 + 0*r**3 - 40 + d*r + 15*r**2 + 6*r**2 - 5*r**3.
-5*(r - 2)**2*(r + 2)
Let n = -978509 + 3914037/4. Determine k, given that 6*k + 0 + n*k**3 - 5/2*k**2 = 0.
0, 4, 6
Let r(a) = a**3 - a**2 - a - 3. Let j(v) = -4*v**3 + 73*v**2 + 238*v + 165. Let m(c) = -j(c) - r(c). Solve m(h) = 0 for h.
-2, -1, 27
Let v(m) be the third derivative of m**5/660 - 2*m**4/33 - 6*m**3/11 + 2512*m**2. Factor v(f).
(f - 18)*(f + 2)/11
Let d(r) = -2*r**3 - 36*r**2 + 0*r**3 + 8*r**3 + 22 - 92*r + 6*r**3. Let x(u) = -26*u**3 + 73*u**2 + 186*u - 43. Let v(b) = 5*d(b) + 2*x(b). Factor v(l).
2*(l - 6)*(l + 2)*(4*l - 1)
Let o(r) be the second derivative of r**7/21 + 2*r**6/5 + 3*r**5/10 - 5*r**4/3 + 12*r + 67. Suppose o(i) = 0. Calculate i.
-5, -2, 0, 1
Let g(z) = 15*z**2 + 448*z + 449. Let s(i) = 21*i**2 + 447*i + 450. Let m(u) = -3*g(u) + 2*s(u). Factor m(k).
-3*(k + 1)*(k + 149)
Let b(a) be the third derivative of -1/1176*a**8 - 58*a**2 + 0*a + 0*a**4 + 0 - 3/140*a**6 + 0*a**3 + 0*a**5 - 2/245*a**7. Factor b(k).
-2*k**3*(k + 3)**2/7
Factor -1/3*k**2 + 38*k - 111.
-(k - 111)*(k - 3)/3
Let x(y) be the first derivative of -9*y**3/8 + 207*y**2 - 12696*y + 896. Factor x(r).
-3*(3*r - 184)**2/8
Factor -56*b**4 - 90*b**4 + 143*b**4 - 81*b - 118*b**2 - 39*b**3 + b**2.
-3*b*(b + 1)*(b + 3)*(b + 9)
Factor 37*u**2 - 8*u - 91*u**2 + 32*u**2 + 47*u + 31*u**2 + 12.
3*(u + 4)*(3*u + 1)
Suppose 20*r + 20*r = 5*r. Let g(m) be the third derivative of r*m**6 + 0*m + 20*m**2 + 0*m**4 + 0*m**3 + 0*m**5 + 1/42*m*