**3.
-s*(s - 1)*(s + 1)**3/4
Let u = 15683/16 + -980. Let f(j) be the first derivative of -u*j**4 + 1/20*j**5 + 3/8*j**2 - 1/2*j + 1/12*j**3 + 11. Determine s so that f(s) = 0.
-1, 1, 2
Suppose -44*w + 49*w = -10. Let o be ((3 - -1) + w)*2. Determine i so that -4/9*i**3 + 4/9*i - 2/9*i**o - 2/3 + 8/9*i**2 = 0.
-3, -1, 1
Let x be -2*(3 + (-18)/4). Suppose -u - z + x + 1 = 0, z = -4*u + 7. Factor u + 2*a**4 + 4*a + 0*a**4 - 1 - 6*a**2.
2*a*(a - 1)**2*(a + 2)
Let l(v) be the second derivative of v**5/50 - 5*v**4/3 + 125*v**3/3 + 50*v. Determine h so that l(h) = 0.
0, 25
Let a = 30 + -10. Suppose 3*p + a = c, 3*p - 5 = c + 5*p. Factor -9*v**3 + v + 2*v**5 - 3*v**4 + v + 4*v + v**c + 3*v**2.
3*v*(v - 2)*(v - 1)*(v + 1)**2
Factor -15673*k**3 + 31351*k**3 - 15677*k**3 - 87*k**2 - 177*k - 89.
(k - 89)*(k + 1)**2
Factor 0*g**4 + 29 + 6*g - 60 + 31 + 7*g**2 - g**4.
-g*(g - 3)*(g + 1)*(g + 2)
Let k(f) = -f**3 + 9*f**2 + f - 3. Let v be k(9). Factor -17*u**3 - 5 - 21*u**2 + 25*u + v*u**2 + 5*u**4 + 15*u**4 - 8*u**3.
5*(u - 1)**2*(u + 1)*(4*u - 1)
What is y in -4/9*y**5 + 4/9*y**3 - 4/3*y**4 + 16/3*y + 16/9 + 44/9*y**2 = 0?
-2, -1, 2
Let t(x) be the first derivative of -x**7/420 - x**6/45 + 11*x**5/60 - x**4/2 - 5*x**3 + 33. Let v(g) be the third derivative of t(g). Factor v(p).
-2*(p - 1)**2*(p + 6)
Factor 888*g**2 - 846*g**2 - 15*g**4 + 96*g**3 + 3*g**3.
-3*g**2*(g - 7)*(5*g + 2)
Let k(o) be the second derivative of -o**6/45 + 2*o**5/15 - 2*o**4/9 - 276*o. Factor k(l).
-2*l**2*(l - 2)**2/3
Let f(l) be the third derivative of 4/9*l**3 - 12*l**2 + 1/6*l**4 + 0*l + 0*l**5 - 1/90*l**6 + 0. Factor f(y).
-4*(y - 2)*(y + 1)**2/3
Let f(u) be the third derivative of -1/195*u**5 - 1/780*u**6 + 0*u + 0*u**4 - 5*u**2 + 0 + 0*u**3. Find h such that f(h) = 0.
-2, 0
Let n(z) = -11*z**4 + 3*z**3 + 120*z**2 + 745*z + 1161. Let u(j) = 5*j**4 - j**3 - 60*j**2 - 372*j - 580. Let a(o) = -4*n(o) - 9*u(o). Solve a(i) = 0 for i.
-4, 9
Let l(y) be the third derivative of y**8/168 - 13*y**7/189 + 44*y**6/135 - 4*y**5/5 + 28*y**4/27 - 16*y**3/27 - 236*y**2. Determine g so that l(g) = 0.
2/9, 1, 2
Let b(c) = c**2 - 7*c - 4. Let l be b(8). Suppose 4*f**4 + f**4 - 3*f**3 + l*f**5 - 8*f**4 + f - 2*f**2 + 7*f**4 = 0. Calculate f.
-1, 0, 1/2
Let m(t) = 6*t**3 + 22*t**2 + 48*t + 36. Let a be -4*5/10 - 2. Let x(p) = -p**3 - p**2 - 1. Let v(l) = a*x(l) - m(l). Find j, given that v(j) = 0.
-4, -1
Suppose -9*u + 3*u - 42 = 0. Let p = 14 - u. Suppose 0*t**2 + p*t**4 + 0 - 3*t**3 + 0*t - 147/4*t**5 = 0. What is t?
0, 2/7
Let -2/11*u**4 - 1414562/11 + 232/11*u**3 - 10092/11*u**2 + 195112/11*u = 0. What is u?
29
Let o(x) be the first derivative of 3*x**4/28 - 3*x**3/7 + 12*x/7 + 88. Factor o(m).
3*(m - 2)**2*(m + 1)/7
Let p(n) = -12*n**2 - 71*n + 58. Let z(m) = 15*m**2 + 72*m - 57. Let i(w) = -6*p(w) - 5*z(w). Factor i(g).
-3*(g - 21)*(g - 1)
Factor 32 + 59 - 263*a + 2*a**2 + 297*a + 29.
2*(a + 5)*(a + 12)
Suppose -4*i + 10 - 2 = 0. Suppose 15 = i*s + 3. Find h such that 4*h + 2*h**4 - 4*h**4 - 14*h**2 - s*h + 2*h**3 + 16*h**2 = 0.
-1, 0, 1
Let s(a) be the second derivative of 16*a**7/147 + 8*a**6/21 - 43*a**5/70 - 7*a**4/6 + 9*a**3/7 + 9*a**2/7 - 40*a. Suppose s(u) = 0. What is u?
-3, -1, -1/4, 3/4, 1
Let b(v) be the third derivative of -v**6/40 + 4*v**2 + 7. What is q in b(q) = 0?
0
Let p be 1298/84 - 1/(35/10). Let c = -29/2 + p. Factor 8/3*r**4 + 8/3*r**2 + c*r + 2/3*r**5 + 0 + 4*r**3.
2*r*(r + 1)**4/3
Factor 33*p + 0 - 3/5*p**2.
-3*p*(p - 55)/5
Let r(j) = 7*j**4 + 25*j**3 + 43*j**2 - 9*j - 50. Let l(d) = 48*d**4 + 174*d**3 + 300*d**2 - 63*d - 351. Let g(w) = 4*l(w) - 27*r(w). Factor g(o).
3*(o - 1)*(o + 2)*(o + 3)**2
Let v(k) be the first derivative of -12*k - 4*k**2 - 1/3*k**3 + 29. Factor v(j).
-(j + 2)*(j + 6)
Let l(r) be the second derivative of 0*r**2 + 0*r**3 + 1/4*r**4 + 0 - r. Factor l(s).
3*s**2
Solve 148/5 - 78/5*w + 2/5*w**2 = 0.
2, 37
Let c(i) be the second derivative of -3*i**5/80 - 57*i**4/16 - 1083*i**3/8 - 20577*i**2/8 + 2*i + 4. Solve c(z) = 0.
-19
Let -2/9*d**2 + 0 + 10/3*d = 0. What is d?
0, 15
Let d(w) be the second derivative of -w**4/26 + 43*w**3/39 - 14*w**2/13 + 118*w. Factor d(v).
-2*(v - 14)*(3*v - 1)/13
Let t(z) be the first derivative of -32/35*z**5 + 0*z**2 + 0*z + z**4 - 8/21*z**3 + 2/7*z**6 - 14. Suppose t(u) = 0. Calculate u.
0, 2/3, 1
Let u(y) = -3*y**2 + 5*y + 2. Let z(l) = l**3 - 4*l**2 + 4*l + 2. Let h be z(2). Let i be u(h). Let i - 1/2*s**2 + 1/2*s = 0. Calculate s.
0, 1
Let c(l) be the second derivative of -l**7/2520 - l**6/360 - l**5/120 - 29*l**4/12 + l. Let r(d) be the third derivative of c(d). What is a in r(a) = 0?
-1
Let v(u) be the second derivative of -u**8/53760 + u**7/6720 - u**4/6 - 12*u. Let z(j) be the third derivative of v(j). Suppose z(o) = 0. Calculate o.
0, 3
Let s(k) = -k + 22. Let w be s(15). Suppose -2 = -3*o + w. Factor 5*v**2 + v**2 + 0*v**2 + 1 + o*v - 3*v**2 + v**3.
(v + 1)**3
Let p(j) = j**3 + 5*j**2 + 5*j + 5. Let r be p(-4). Let s be 3 + (-206)/77 - r/7. What is u in 2/11*u - 2/11*u**3 + 2/11*u**2 - s = 0?
-1, 1
Let d(m) be the third derivative of 1/240*m**4 + 0*m + 1/600*m**5 - 4*m**2 + 0 + 0*m**3. Factor d(n).
n*(n + 1)/10
Suppose -149 - 45*w - 9*w**2 - 152 + 14*w**2 + 341 = 0. Calculate w.
1, 8
Let h(b) be the first derivative of -b**6/3 + 146*b**5/5 - 1295*b**4/2 - 2738*b**3/3 - 144. Factor h(n).
-2*n**2*(n - 37)**2*(n + 1)
Factor 12*n + 7*n**4 - n**5 + 40*n - 10*n**3 - 5 - 41*n - 2*n**2.
-(n - 5)*(n - 1)**3*(n + 1)
Suppose 0 = -30*s + 48 + 12. Let u(c) be the first derivative of -1/27*c**6 - 4/45*c**5 + 4 + 1/9*c**s + 4/27*c**3 + 0*c + 0*c**4. Find g, given that u(g) = 0.
-1, 0, 1
Suppose -22*q + 17*q = -95. Suppose 14*w - q - 9 = 0. Find j, given that 1/5 + 2/5*j + 1/5*j**w = 0.
-1
Let g(x) be the first derivative of -9*x - 1/50*x**5 + 7 + 1/30*x**4 + 0*x**2 + 0*x**3. Let m(v) be the first derivative of g(v). Factor m(s).
-2*s**2*(s - 1)/5
Factor r - 2*r**2 + 4*r**2 - 2*r**2 - 25*r + 220 - 4*r**2.
-4*(r - 5)*(r + 11)
Let w(q) = q**3 - 20*q**2 + 62*q + 34. Let i be w(16). Let p = 5/3 - 13/15. Factor -12/5*f**i + p*f + 0.
-4*f*(3*f - 1)/5
Factor -182*m - 65*m**2 + 172*m - 34*m**3 - 21*m**3.
-5*m*(m + 1)*(11*m + 2)
Let q(v) = v - 3. Let m(l) = -2*l - 13. Let o be m(-9). Let y be q(o). Factor 25*g**2 + 0 - 23*g**y + 2 - 4*g.
2*(g - 1)**2
What is z in -39*z + 4*z + 26*z**2 + 46 - 2*z**3 + z**3 - 37*z + z = 0?
1, 2, 23
Let i(r) = r**3 + 5*r**2 - 7*r + 3. Let d be i(-6). Let s = -251 - -254. Suppose -27*t**3 + 3*t**s - 25*t**4 - d*t**5 + 2*t + 3*t**3 - 3*t**2 = 0. What is t?
-1, 0, 2/9
Factor -48*p + 52 - 309*p**2 - 313*p**2 + 618*p**2.
-4*(p - 1)*(p + 13)
Let l(s) be the first derivative of -2/9*s**3 + 1/30*s**5 + s - 2/3*s**2 - 1 - 1/90*s**6 + 1/12*s**4. Let q(j) be the first derivative of l(j). Factor q(p).
-(p - 2)**2*(p + 1)**2/3
Let i be ((-450)/(-56))/25 - 2/(-8). Let u(f) be the first derivative of 1 - 1/2*f**4 + f**2 + 4/21*f**3 - i*f. Factor u(c).
-2*(c - 1)*(c + 1)*(7*c - 2)/7
Let g = 4464/3661 - 40/523. Factor 9/7*c**2 + 0 - g*c**3 + 0*c - 1/7*c**4.
-c**2*(c - 1)*(c + 9)/7
Let w(j) be the first derivative of -j**5/5 + j**4/4 + 6*j**3 - 26*j**2 + 40*j - 46. Factor w(q).
-(q - 2)**3*(q + 5)
Let c = -48 - -57. Suppose 5*r + 20 = c*r. Let 1/3*x**4 + 0 - 1/3*x**r + 0*x + 0*x**3 + 0*x**2 = 0. Calculate x.
0, 1
Let d(n) be the first derivative of 2*n**6/27 + 8*n**5/15 + 2*n**4/3 - 64*n**3/27 - 10*n**2/3 + 8*n + 233. Determine l, given that d(l) = 0.
-3, -2, 1
Let n = -2/85275 - 810197767/341100. Let u = n + 2394. Factor -15*k**2 + 0 + 3*k + u*k**3.
3*k*(5*k - 2)**2/4
Suppose -3*q - 3*c + 4*c = -536, 3*q = 5*c + 520. Let z be (18/q)/(1/4). Factor 0*h**3 - 2/5*h + 4/5*h**4 - 4/5*h**2 + z*h**5 + 0.
2*h*(h - 1)*(h + 1)**3/5
Let p(k) be the second derivative of 1/45*k**6 - 4/9*k**3 - 4/9*k**2 + 1/189*k**7 - 5*k - 1/90*k**5 + 0 - 11/54*k**4. Solve p(h) = 0.
-2, -1, 2
Let l(d) be the third derivative of d**9/100800 + d**8/4200 + d**7/525 + 17*d**5/30 - 3*d**2. Let o(a) be the third derivative of l(a). Factor o(f).
3*f*(f + 4)**2/5
Let i = 1/4 - -5/12. Let f(y) be the first derivative of -1 - i*y**4 - 2/3*y - 22/9*y**3 - 13/6*y**2. Factor f(j).
-(j + 2)*(2*j + 1)*(4*j + 1)/3
Let t(y) = 6*y**4 - 64*y**3 - 513*y**2 - 1100*y - 