nd c, given that q*c**3 + 4/9*c + 14/9*c**2 + 0 - 2/3*c**4 = 0.
-1, -1/3, 0, 2
Let z(k) = k**2. Suppose 10 = -5*r + 30. Let p = r + -3. Let i(v) = 7*v + 2. Let t(b) = p*i(b) + 5*z(b). Factor t(g).
(g + 1)*(5*g + 2)
Let s(a) = -a**3 + 6*a**2 + 7*a + 7. Let c be s(7). Factor 5*i - i**2 - c*i + 5 - 6.
-(i + 1)**2
Let h(u) be the third derivative of -9/560*u**8 + 0*u**3 + 0 + 6*u**2 + 0*u**4 + 9/350*u**7 - 3/200*u**6 + 0*u + 1/300*u**5. Factor h(k).
-k**2*(3*k - 1)**3/5
Let n = -417 + 2087/5. Find r, given that -n*r**2 - 12/5*r - 18/5 = 0.
-3
Factor -5/4*y**5 - 9/4*y**3 + 1/4*y**2 + 1/2*y + 0 - 13/4*y**4.
-y*(y + 1)**3*(5*y - 2)/4
Let t be 10 - (-10 + 60/3). Factor 0 - 1/3*w**4 + t*w**2 + 0*w - 2/3*w**3.
-w**3*(w + 2)/3
Let m(t) be the first derivative of 1/5*t**3 + 0*t + 3/5*t**2 + 3. Find h such that m(h) = 0.
-2, 0
Factor 3*g**4 + 73*g**2 - 3*g**3 - 73*g**2.
3*g**3*(g - 1)
Let m = -27/11 - -241/22. Find f such that 1 + m*f + 24*f**2 + 45/2*f**3 = 0.
-2/5, -1/3
Suppose 9 = -2*i + 13. Let w(u) be the first derivative of -u**4 + 1/3*u**6 + i + 2/5*u**5 - 4/3*u**3 + 2*u + u**2. Factor w(l).
2*(l - 1)**2*(l + 1)**3
Let r be 10/4 + (-10)/(-20). What is u in 2/3*u**2 - 2/3*u**4 - 2/3*u**5 + 0 + 0*u + 2/3*u**r = 0?
-1, 0, 1
Let j be (-3*2)/((-2)/(-5)). Let i be (j/6)/((-2)/8). Solve 25/2*z**2 - i*z + 2 = 0.
2/5
Let r(f) be the first derivative of 5*f**3/3 + 15*f**2/2 - 16. Factor r(y).
5*y*(y + 3)
Suppose 5*b = 307 + 143. Let i be b/21*(1 + 6). Let 36*y**4 - i*y + 42*y**4 + 4 + 80*y**2 - 100*y**3 - 14*y**5 - 18*y**4 = 0. Calculate y.
2/7, 1
Let q(m) be the first derivative of m**3/18 - m**2/12 - m/3 - 12. Factor q(b).
(b - 2)*(b + 1)/6
Let q = -74 - -668/9. Solve -2/9 - q*h**2 - 4/9*h = 0.
-1
Solve -17*d**3 - 2*d**2 - 8*d**3 + 125*d**5 - 25*d**5 - 8*d**2 + 85*d**4 = 0.
-1, -1/4, 0, 2/5
Find r, given that -3/4*r**3 + 1/2*r + 0 - 1/4*r**4 + 1/4*r**5 + 1/4*r**2 = 0.
-1, 0, 1, 2
Let q = 226 + -222. Determine g so that 2/7*g**3 + 4/7*g**2 - 4/7*g**q + 0 + 0*g - 2/7*g**5 = 0.
-2, -1, 0, 1
Determine j so that 21*j**4 + 13*j - j**2 + 23*j + 12 - 32*j**2 - 36*j**3 = 0.
-1, -2/7, 1, 2
Suppose h = -h + 10. Factor 6 - 9*t**3 + t**2 - 4*t**2 + h*t - 3 - 4.
-(t + 1)*(3*t - 1)**2
Let q(z) be the third derivative of -z**6/120 + z**5/10 - z**4/2 - z**3/3 + z**2. Let y(d) be the first derivative of q(d). Factor y(l).
-3*(l - 2)**2
Let b(s) be the third derivative of 1/108*s**4 - s**2 + 0 + 0*s**5 + 0*s + 0*s**3 - 1/540*s**6. Factor b(f).
-2*f*(f - 1)*(f + 1)/9
Let r(c) = -c**3 - 7*c**2 - 8*c - 8. Let i be r(-6). Let q be (-1 + i/6)*-6. Suppose 0 + 0*t - 1/4*t**q = 0. Calculate t.
0
Factor -46/3*r**2 - 10*r**3 - 3 - 1/3*r**5 - 3*r**4 - 11*r.
-(r + 1)**3*(r + 3)**2/3
Factor -2/3*b**3 - 4/3*b**2 - 8/3 + 14/3*b.
-2*(b - 1)**2*(b + 4)/3
Let h be 18/(-12) - 51/(-6). Suppose -8 = -h*z + 3*z. Solve 6/5 + 3*w**z + 21/5*w = 0.
-1, -2/5
Let p(y) be the second derivative of -y**4/4 + 6*y**2 - 7*y. Factor p(m).
-3*(m - 2)*(m + 2)
Let f(p) be the third derivative of -p**5/30 - p**4/2 - 3*p**3 + 39*p**2. Find c, given that f(c) = 0.
-3
Factor -l - 36 - 2*l**2 - 7*l + 28.
-2*(l + 2)**2
Find r such that 1/7 + 0*r - 1/7*r**2 = 0.
-1, 1
Let s = -11 + 16. Suppose 4*k = -g, -g + s*k - k = 0. Factor 2/5*u**3 - 1/5*u**2 + 0*u - 1/5*u**4 + g.
-u**2*(u - 1)**2/5
Let m be (6 + (4 - 7))*1. Find j such that 0*j**2 - 2/7*j + 2/7*j**m + 0 = 0.
-1, 0, 1
Let t = -5416 - -26952/5. Let c = 26 + t. Solve 4/5 - 68/5*m**3 - 52/5*m**4 + c*m - 14/5*m**5 - 32/5*m**2 = 0 for m.
-1, 2/7
Let t(x) = -x**5 + x**4 - 2*x**3 - 7*x**2 - 3. Let h(b) = b**5 - 3*b**4 + 4*b**3 + 13*b**2 + 5. Let r(z) = 3*h(z) + 5*t(z). Find w such that r(w) = 0.
-2, -1, 0, 1
Let c(j) be the second derivative of 0*j**3 + 0*j**5 + 1/3*j**4 - j**2 - 1/15*j**6 - 2*j + 0. Solve c(d) = 0 for d.
-1, 1
Let u(o) = -9*o**4 + 7*o**3 + 7*o**2 - 7. Let l(p) = -8*p**4 + 6*p**3 + 6*p**2 - 6. Let r(a) = 7*l(a) - 6*u(a). Solve r(f) = 0 for f.
0
Suppose 4*k = -4*w, 3*w - 45 = -2*w + 4*k. Let 0 - 5 + b**3 + w - b**2 = 0. Calculate b.
0, 1
Let y(c) be the second derivative of 2*c**7/7 + 44*c**6/105 - c**5/35 - 2*c**4/21 - 7*c. Suppose y(i) = 0. Calculate i.
-1, -1/3, 0, 2/7
Let h(w) be the second derivative of 8/3*w**3 + 5*w + 0*w**2 + 16/3*w**4 + 13/5*w**5 + 2/5*w**6 + 0. Determine q, given that h(q) = 0.
-2, -1/3, 0
Let y(r) be the second derivative of -r**4/54 + r**3/9 + 6*r. Factor y(j).
-2*j*(j - 3)/9
Let l(j) be the third derivative of -j**6/420 - j**5/105 + j**4/84 + 2*j**3/21 - 2*j**2. Solve l(s) = 0.
-2, -1, 1
Let p(q) be the first derivative of 1/12*q**2 + 1/6*q - 1 - 1/18*q**3 - 1/24*q**4. Solve p(l) = 0.
-1, 1
Let 0 + 4/17*a - 10/17*a**2 + 6/17*a**3 = 0. What is a?
0, 2/3, 1
Let f(o) = -15*o**2 - 6*o - 6 - 3*o**3 + 21*o**4 + 29*o**2 - 14*o**2. Let q(i) = 41*i**4 - 7*i**3 - i**2 - 11*i - 11. Let z(a) = -11*f(a) + 6*q(a). Factor z(d).
3*d**2*(d - 1)*(5*d + 2)
Let o(s) be the first derivative of -4*s**5/45 - s**4/3 - s**3/2 - s**2/2 + 3. Let v(p) be the second derivative of o(p). Suppose v(g) = 0. What is g?
-3/4
Let v(q) be the first derivative of -q**3/3 + q**2/2 + 2*q + 5. Factor v(d).
-(d - 2)*(d + 1)
Suppose 4*a - 5 = 3*a. Let p(x) be the third derivative of -1/40*x**6 - 4*x**2 + 0 + 0*x**4 + 0*x - 1/20*x**a + 0*x**3. Suppose p(q) = 0. What is q?
-1, 0
Factor 1/4*v**2 + 1/2*v + 1/4.
(v + 1)**2/4
Let v(q) be the third derivative of q**8/50400 - q**7/12600 - q**6/900 + q**5/20 + 2*q**2. Let h(j) be the third derivative of v(j). Factor h(k).
2*(k - 2)*(k + 1)/5
Let w(i) be the first derivative of 0*i + 1/9*i**3 - 4 - 1/2*i**2. Find t, given that w(t) = 0.
0, 3
Suppose 0 = 41*g - 39*g - 4. Let 6/5*z - 21/5*z**g - 12/5*z**3 + 0 = 0. What is z?
-2, 0, 1/4
Let t(z) be the third derivative of 1/30*z**6 + 1/210*z**7 + 1/10*z**5 + 0 + 1/6*z**3 + 1/6*z**4 - z**2 + 0*z. Factor t(f).
(f + 1)**4
Suppose 0*g = -5*g. Let u(y) be the second derivative of 0*y**3 + 0*y**6 + 0*y**2 + 1/70*y**5 - 1/147*y**7 + g*y**4 + 2*y + 0. Solve u(m) = 0 for m.
-1, 0, 1
Let f(r) = r**3 - 20*r**2 + 140*r + 4. Let x(n) = -2*n**3 + 41*n**2 - 281*n - 7. Let v(a) = 7*f(a) + 4*x(a). Factor v(b).
-b*(b - 12)**2
Let k be 0/(-6) - (-1 - 1). Let h be 80/28 + -1*k. Suppose 8/7*w**3 + 8/7 - 2/7*w**4 - h*w**2 - 8/7*w = 0. Calculate w.
-1, 1, 2
Let f(p) be the first derivative of -p**4/4 + 4*p**3 - 24*p**2 + 64*p - 8. Factor f(o).
-(o - 4)**3
Let z(u) = u - u + u**2. Let t(g) be the first derivative of -5*g**3/3 - 3*g**2/2 + 2*g + 5. Let q(b) = -t(b) - 6*z(b). Let q(a) = 0. Calculate a.
1, 2
Let u = 29 + -21. Determine p, given that 22 + 2*p**3 - u*p**4 + 2*p**2 - 22 + 4*p**3 = 0.
-1/4, 0, 1
Let l(o) = o + 3. Let k be l(-3). Suppose 0 = -3*p + 3*r + 9, -5*p + k*r + r = -11. Factor 1/4*t**4 + 0 + 0*t**3 + 0*t**p + 0*t.
t**4/4
Let n(o) be the first derivative of -o**6/9 - 4*o**5/5 - 2*o**4 - 16*o**3/9 - 49. Factor n(j).
-2*j**2*(j + 2)**3/3
Let z(i) = -i + 8. Let w be z(6). Let c = 2 - w. Solve 1/2*u**2 + c*u - u**3 + 0 = 0.
0, 1/2
Let l(p) be the third derivative of -p**6/660 + 7*p**5/330 - p**4/12 + 5*p**3/33 + 8*p**2. Factor l(f).
-2*(f - 5)*(f - 1)**2/11
Let k(w) be the third derivative of -w**5/40 - w**4/8 - w**3/4 - 6*w**2. Factor k(z).
-3*(z + 1)**2/2
Let b(k) = -k**3 + 7*k**2 + 7*k - 7. Let s be b(8). Let o be 3/(-15)*s/12. Factor -o*p + 1/4*p**2 + 0.
p*(p - 1)/4
Let m(h) be the third derivative of -343*h**6/240 - 49*h**5/20 - 7*h**4/4 - 2*h**3/3 + 3*h**2. Solve m(w) = 0.
-2/7
Let p(a) be the third derivative of a**9/1512 + a**8/672 + a**7/1680 + a**3/3 - 3*a**2. Let r(s) be the first derivative of p(s). Find t such that r(t) = 0.
-1, -1/4, 0
Let v(i) be the second derivative of 0 - 7/20*i**5 + 3*i + 3/4*i**4 + 1/2*i**2 + 1/15*i**6 - 5/6*i**3. Suppose v(z) = 0. What is z?
1/2, 1
Let b(d) = 2*d**3 + 2*d**2 - 3*d + 2. Let p be b(-2). Factor p*x**2 + 0 + 2/9*x**3 + 0*x**4 + 0*x - 2/9*x**5.
-2*x**3*(x - 1)*(x + 1)/9
Let i(a) = a**3 + 9*a**2 + 9*a + 11. Let o be i(-8). Suppose m - o = -0. Factor -m - 5 + 3*v**2 + 5.
3*(v - 1)*(v + 1)
Let t(z) be the first derivative of 1/2*z**3 + 3/4*z**2 + 0*z + 1. Suppose t(d) = 0. Calculate d.
-1, 0
Let l be (3/(-8))/((36/8)/(-3)). Suppose 0*q + 0*q**2 + 0 + l*q**4 + 1/4*q**3 = 0. What is q?
-1, 0
Let f(d) be the first derivative of -d**5/10 - d**4/