(j) be the first derivative of o(j). Factor k(y).
-(y - 1)**2*(y + 1)**2/5
Let t(p) = -p**3 + 8*p**2 - 13*p + 6. Let x be t(6). Factor -y**2 + x*y - 1/2*y**3 + 0 + 1/2*y**4.
y**2*(y - 2)*(y + 1)/2
Suppose z = 6*z - 15. Let g(r) be the third derivative of 0 + 2*r**2 + 1/24*r**4 + 0*r + 0*r**z + 1/30*r**5 + 1/120*r**6. Find b, given that g(b) = 0.
-1, 0
Let n = 4 - -1. Let c(x) be the second derivative of 0*x**4 + 0 - 2*x + 0*x**2 + 1/90*x**n - 1/135*x**6 + 0*x**3. Suppose c(h) = 0. Calculate h.
0, 1
Let d be 3 - (-1492)/(-213) - -4. Let v = 4471/426 - d. Let -6*p**2 - v*p + 3 = 0. Calculate p.
-2, 1/4
Suppose 0 = -4*c + 10 + 2. Factor -2*x**3 + 2*x**3 + x**c + x + 2*x**2.
x*(x + 1)**2
Let b = -1 - -3/2. Let t = -63 - -253/4. Solve -1/4 - t*d**2 - b*d = 0.
-1
Let k(d) be the second derivative of -1/3*d**2 - 1/45*d**6 + 0 + 1/9*d**4 + 0*d**3 + 0*d**5 + 4*d. Factor k(o).
-2*(o - 1)**2*(o + 1)**2/3
Let t(s) be the second derivative of 0*s**2 + 0 - 1/20*s**5 + 1/12*s**4 + 0*s**3 + 3*s. Factor t(c).
-c**2*(c - 1)
Let w(t) be the third derivative of -23*t**8/1176 + 73*t**7/1470 + 17*t**6/840 - 71*t**5/420 + 29*t**4/168 - t**3/21 + 55*t**2. Find g such that w(g) = 0.
-1, 2/23, 1/2, 1
Suppose 29*z - 28*z = 0. Let s(u) be the second derivative of 0 - 1/135*u**6 + 1/45*u**5 + 1/9*u**2 - 2/27*u**3 + z*u**4 + 3*u. Factor s(t).
-2*(t - 1)**3*(t + 1)/9
Suppose 5*u = u + 12. Suppose u*w - 8*w + 10 = 0. Solve w*c - 4*c**3 - c**3 + 2*c**5 + c**3 = 0 for c.
-1, 0, 1
Let g be (-3)/(-3)*4 - -1. Suppose o = g*o. Let 1/5*y**2 - 1/5*y + o = 0. What is y?
0, 1
Let u(x) = x**5 + x**4 + x**3 - x**2 + x. Let n(g) = -g**5 + 2*g**4 - 4*g**3 - 2*g**2 - 7*g. Let m(t) = -n(t) - 4*u(t). Determine j so that m(j) = 0.
-1, 0, 1
Let q = 400 - 1994/5. Factor 2/5*l**3 - 2/5*l**2 - q - 2*l.
2*(l - 3)*(l + 1)**2/5
Let a(z) be the first derivative of z**7/126 - z**6/45 + z**4/18 - z**3/18 + 2*z - 4. Let b(g) be the first derivative of a(g). Solve b(m) = 0.
-1, 0, 1
Let w(q) be the third derivative of q**9/4536 - q**8/1260 + q**6/270 - q**5/180 - q**3/2 - 3*q**2. Let f(h) be the first derivative of w(h). Factor f(b).
2*b*(b - 1)**3*(b + 1)/3
Determine v so that -6/5*v**3 + 0 + 0*v**2 + 8/5*v - 2/5*v**4 = 0.
-2, 0, 1
Factor 4/3*f**4 - 2*f**2 + 1/3*f + 2/3 - 4/3*f**3 + f**5.
(f - 1)*(f + 1)**3*(3*f - 2)/3
Let i(c) = -c**2 + 3*c + 3. Let n be i(3). Let m(f) be the first derivative of 2 - 2*f**2 + f - 1/3*f**n + f**4. Factor m(h).
(h - 1)*(h + 1)*(4*h - 1)
Let y(h) = -h - 3. Let s be y(-8). Let r(z) = 6*z**2 + 3*z + 7. Let u(t) = 5*t**2 + 3*t + 6. Let l(q) = s*u(q) - 4*r(q). Suppose l(g) = 0. Calculate g.
-2, -1
Let j(f) be the first derivative of -f**5/20 - f**4/4 - f**3/2 - f**2/2 - 2*f + 4. Let l(o) be the first derivative of j(o). Let l(r) = 0. What is r?
-1
Let y(u) be the third derivative of -5*u**8/336 + 2*u**7/21 - u**6/6 - u**5/6 + 25*u**4/24 - 5*u**3/3 - 8*u**2. Factor y(d).
-5*(d - 2)*(d - 1)**3*(d + 1)
Let a(h) be the third derivative of h**7/280 + h**6/120 - h**3 - h**2. Let j(x) be the first derivative of a(x). Factor j(i).
3*i**2*(i + 1)
Let s(j) be the first derivative of -j**7/840 + j**2 - 3. Let p(q) be the second derivative of s(q). Determine u, given that p(u) = 0.
0
Let l(a) = -8*a**4 + 3*a**3 - 7*a. Let d(f) = f**4 + f. Let p(g) = 28*d(g) + 4*l(g). Factor p(q).
-4*q**3*(q - 3)
Suppose -p = 2*l - 11, p + l - 13 = -2*p. Factor -3*g**2 - 4*g**2 + 4*g**2 + 6*g**p - 3*g**4.
-3*g**2*(g - 1)**2
Let m be (44/(-16) - -2) + 2. Let p(w) be the first derivative of 0*w**2 - 2/3*w**3 + 0*w + 2 - m*w**4. Factor p(q).
-q**2*(5*q + 2)
Let f be ((-10)/4)/((-21)/42). Suppose -v = f*c - 12, -4*v + 9 = 3*c - 5. Find a such that 2/3*a**v + 0 - 1/3*a**3 - 1/3*a = 0.
0, 1
Let s be ((-1298)/(-120))/(-11) - -1. Let t(o) be the third derivative of 2*o**2 + 0 + 0*o + 0*o**3 - 1/12*o**4 - s*o**5. Factor t(p).
-p*(p + 2)
Let p(y) be the first derivative of -4 + 0*y + 0*y**2 - 42/5*y**5 + 8/3*y**3 - 4*y**4. Factor p(s).
-2*s**2*(3*s + 2)*(7*s - 2)
Let i be (-3)/(-21) - 1465/10500. Let u(s) be the third derivative of 0*s - i*s**5 + 0*s**3 + 0 - 1/120*s**4 - s**2. Factor u(w).
-w*(w + 1)/5
Let z = 24 - 22. Let x(f) be the second derivative of -1/4*f**z + 0 + 2*f + 1/8*f**3 - 1/48*f**4. Factor x(h).
-(h - 2)*(h - 1)/4
Let o(k) = k + 2. Let q be o(12). Let m = 14 - q. Determine z, given that -2/9*z + 4/9*z**3 - 2/9*z**5 + 0*z**2 + 0 + m*z**4 = 0.
-1, 0, 1
Let i(w) = -7*w**4 - 4*w**3 + 4*w - 3. Let g(f) = 2 + 17*f**4 - 16*f**4 - 1. Let o(p) = -5*g(p) - i(p). Factor o(m).
2*(m - 1)*(m + 1)**3
Let q be (-63)/(-3)*(3 + -4). Let g = q - -24. Find u such that 3*u - 15/2*u**2 + 0 - 21/2*u**g = 0.
-1, 0, 2/7
Let t(w) = -7*w**3 + 5*w**2 - 6*w - 4. Suppose -2*y + 9 = -1. Let a(i) = -8*i**3 + 4*i**2 - 6*i - 5. Let b(n) = y*t(n) - 4*a(n). Find p, given that b(p) = 0.
0, 1, 2
Let l be (-2)/(-8) - (-7)/4. Let -y + y**3 - 5*y**l + 4*y**2 + 2*y**2 + 0*y - 1 = 0. Calculate y.
-1, 1
Let q(r) be the second derivative of r**5/30 + 2*r**4/9 + r**3/3 - 23*r. Let q(o) = 0. Calculate o.
-3, -1, 0
Suppose 0*c = -c + 3. Let z be 3 + (-9)/c + 0. Factor 0*k**3 + 0 - 2/7*k**4 + 0*k + z*k**2.
-2*k**4/7
Let d(u) be the first derivative of u**6/150 + u**5/100 - u + 2. Let a(r) be the first derivative of d(r). Factor a(c).
c**3*(c + 1)/5
Let i(c) = 12*c**4 - 28*c**3 + 12*c**2 + 8*c. Let y(b) = 23*b**4 - 56*b**3 + 25*b**2 + 17*b. Let l(n) = 9*i(n) - 4*y(n). Factor l(j).
4*j*(j - 1)**2*(4*j + 1)
Let c(s) be the third derivative of 2*s**7/35 - 23*s**6/120 - s**5/20 + s**4/12 + 8*s**2. What is n in c(n) = 0?
-1/3, 0, 1/4, 2
Let c(k) be the first derivative of -k**5/40 + k**4/32 + k**3/12 + 4. Factor c(y).
-y**2*(y - 2)*(y + 1)/8
Let f(r) = -3*r**3 + 3*r**2 + 3*r - 1. Let u = 4 + -11. Let n(z) = -10*z**3 + 10*z**2 + 10*z - 3. Let o(w) = u*f(w) + 2*n(w). Factor o(s).
(s - 1)**2*(s + 1)
Let t(r) = 9*r**3 + 17*r**2 + 12*r + 2. Let a(u) = -u**3 + u**2. Let k(c) = 2*a(c) + 2*t(c). Determine w, given that k(w) = 0.
-1, -1/4
Suppose 0 = 2*x - 20 - 2. Suppose -3*p = d + 9, p = d - p - x. Factor 1/2*f + 0*f**2 - 1/2*f**d + 0.
-f*(f - 1)*(f + 1)/2
Let m(l) = l**2 + 8*l + 6. Let q be m(-7). Let r = 2 - q. Factor -4/7*j**2 - 2/7*j + 0 - 2/7*j**r.
-2*j*(j + 1)**2/7
Let q(k) = -489*k**4 - 1144*k**3 - 857*k**2 - 208*k - 16. Let o(d) = -490*d**4 - 1144*d**3 - 858*d**2 - 208*d - 16. Let y(b) = 5*o(b) - 6*q(b). Factor y(m).
4*(m + 1)**2*(11*m + 2)**2
Let c = -196 - -198. Find z such that -6/5 - 2/5*z**2 + 2/5*z**3 - c*z = 0.
-1, 3
Let g(s) = -9*s**4 - 13*s**3 + 4*s**2 + 8*s + 5. Let k(o) = -o**4 - o**3 + 1. Let n(r) = -g(r) + 5*k(r). Factor n(l).
4*l*(l - 1)*(l + 1)*(l + 2)
Let s be -12*((-4)/3 + 0). Suppose -4*x - 3 = o - s, 4*x + 2*o = 14. Solve 4*m**2 + 3*m**4 - 5*m**4 - 2*m**x - 2*m**2 + 2*m = 0 for m.
-1, 0, 1
Suppose 3*l + 42 = -0*l. Let r be l/(-30) - (-14)/42. Find n, given that 1/5*n**4 + 1/5 + r*n + 6/5*n**2 + 4/5*n**3 = 0.
-1
Let b(a) be the third derivative of a**6/1080 + a**5/360 - a**4/36 - a**3/3 + a**2. Let i(f) be the first derivative of b(f). Factor i(k).
(k - 1)*(k + 2)/3
Let w(x) be the second derivative of -3*x + 14/15*x**3 - 2/5*x**2 + 9/25*x**5 + 0 - x**4. Factor w(n).
4*(n - 1)*(3*n - 1)**2/5
Let v(f) be the second derivative of f**6/15 - f**5/10 - f**4/2 + f**3/3 + 2*f**2 - 5*f. Determine l, given that v(l) = 0.
-1, 1, 2
Determine q, given that 6/7*q - 2/7 - 6/7*q**2 + 2/7*q**3 = 0.
1
Let b be (-19)/(-38) - (-2)/(-6). Let q(j) be the first derivative of -1/3*j**2 + 0*j**3 - 1/15*j**5 + 1/3*j + b*j**4 + 1. Let q(c) = 0. Calculate c.
-1, 1
Factor 0*c**2 + 0*c + 0*c**3 - 4/7*c**4 + 0 + 2/7*c**5.
2*c**4*(c - 2)/7
Factor 0*y**2 + 2/11*y**3 - 6/11*y + 4/11.
2*(y - 1)**2*(y + 2)/11
Factor -821*a + 833*a - 9*a**2 - 7*a**2 + 4.
-4*(a - 1)*(4*a + 1)
Let y(c) be the first derivative of -c**4/2 - 2*c**3/3 + 6*c**2 - 31. Factor y(l).
-2*l*(l - 2)*(l + 3)
Factor -1/10*a**3 + 0 - 1/10*a**2 + 1/10*a + 1/10*a**4.
a*(a - 1)**2*(a + 1)/10
Find d, given that -75/4*d**4 - 2/3 + 43/6*d**2 - 25/4*d**3 + d = 0.
-2/3, -2/5, 1/3, 2/5
Let a be 6/(-4)*1*-4. Let g = -3 + a. Solve 3*x**2 + 6*x**2 - 2*x**g - 3*x**2 - 4*x**2 = 0.
0, 1
Suppose -r**3 - 1/2*r**4 - 1/2 + 1/2*r**5 + r**2 + 1/2*r = 0. What is r?
-1, 1
Let r be (-1362)/(-4)*(-5)/10. Let b = -169 - r. 