 2*l**2 - 8 + 9*l**2 - 10*l.
-2*(l + 1)*(l + 4)
Let h be (14 + -12)/(12*(0 + 1)). Factor 2/3*n**2 + 1/3 + 5/6*n + h*n**3.
(n + 1)**2*(n + 2)/6
Let a(t) = 5*t**2 - 2*t**2 - 4*t**2 + 4*t + 7. Let f be a(5). Factor -2/9*m**f + 2/9 - 2/9*m + 2/9*m**3.
2*(m - 1)**2*(m + 1)/9
Let o(y) be the second derivative of -3*y**6/5 + 57*y**5/20 - 11*y**4/2 + 11*y**3/2 - 3*y**2 - 4*y. Determine w, given that o(w) = 0.
1/2, 2/3, 1
Suppose 0*g + 3*g - 12 = 0. Factor n**2 - 1 + 3*n - g*n + 1.
n*(n - 1)
Let n(o) = 2*o - 9. Suppose 4*h - 5 = -3*g, -4*g + 9*g = 5*h + 55. Let q be n(g). Factor 0 + 0*j**4 - 2/3*j**q + 0*j**2 + 4/3*j**3 - 2/3*j.
-2*j*(j - 1)**2*(j + 1)**2/3
Let v(w) be the second derivative of 0 + 5/3*w**3 + w**5 + 5/3*w**4 + w**2 + 5*w + 1/3*w**6 + 1/21*w**7. Solve v(u) = 0 for u.
-1
Let b(t) = -t**3 + 7*t**2 - 6*t. Let l(i) = -i**3 + 6*i**2 - 5*i. Let y(k) = -4*b(k) + 5*l(k). Determine c so that y(c) = 0.
0, 1
Suppose -2*p - p = -15. Let k be (p/(-27))/((-1)/6). Solve -k*q**3 + 4/9 - 2/9*q - 16/9*q**2 = 0 for q.
-1, 2/5
Let c = 353/1380 + -2/345. Factor 27/2*a**3 - c + 5/2*a - 9*a**2 - 27/4*a**4.
-(a - 1)*(3*a - 1)**3/4
Let n(r) be the third derivative of -r**8/1680 - r**7/1260 + r**6/360 + r**4/24 - 4*r**2. Let i(o) be the second derivative of n(o). Factor i(k).
-2*k*(k + 1)*(2*k - 1)
Let h(o) = 1. Let w(u) = u + 12. Let p(m) = -2*h(m) + w(m). Let x be p(-6). Determine n, given that -1/4*n**x + 2*n**3 - 4 + 8*n - 6*n**2 = 0.
2
Let w(m) be the first derivative of 1 + 0*m + 0*m**3 - 1/10*m**4 + 0*m**2. Factor w(v).
-2*v**3/5
Let h(n) be the second derivative of 2*n**6/5 + 11*n**5/5 + 11*n**4/3 + 2*n**3/3 - 4*n**2 - 26*n. Factor h(u).
4*(u + 1)**2*(u + 2)*(3*u - 1)
Let c = 111 - 109. Let k(b) be the second derivative of 2/27*b**3 - 1/45*b**5 + 0 + 0*b**4 + 1/135*b**6 - 1/9*b**c + 4*b. Factor k(y).
2*(y - 1)**3*(y + 1)/9
Let n(v) be the first derivative of 3*v**4/22 - 16*v**3/33 + 3*v**2/11 + 4*v/11 + 6. Factor n(u).
2*(u - 2)*(u - 1)*(3*u + 1)/11
Let o(b) be the third derivative of b**7/1365 + b**6/780 - 3*b**5/130 + 11*b**4/156 - 4*b**3/39 + 17*b**2. Factor o(t).
2*(t - 1)**3*(t + 4)/13
Let c = 15 + -6. Factor 2*z**2 - 5*z**2 + 0*z**2 + c*z.
-3*z*(z - 3)
Let u = -112/15 - -38/5. Let v(l) be the first derivative of 0*l - 1/3*l**4 + 1 + 0*l**2 + 2/9*l**3 + u*l**5. Determine n so that v(n) = 0.
0, 1
Suppose -w + 3 = 2*w. Factor -5*i**3 - 2*i**3 - 1 + 7*i - w + 0*i**3 + 2*i**2.
-(i - 1)*(i + 1)*(7*i - 2)
Let c = 28/39 - 5/13. Let y(n) be the first derivative of 1/3*n**2 - 1/9*n**3 - c*n - 1. Find h, given that y(h) = 0.
1
Suppose 3 = l - 0*l + r, 0 = -3*l - 4*r + 9. Suppose 0 = -l*p + p. Solve -3*b**3 - b**4 + p*b**3 + 4*b**3 = 0 for b.
0, 1
Let l(k) be the first derivative of -2*k**3/7 + 24*k/7 - 1. Factor l(h).
-6*(h - 2)*(h + 2)/7
Suppose -j + x + 56 = 5*x, -j - 3*x + 58 = 0. Let n be 16/j + (-2)/(-24). Factor 2*b**2 + n*b**3 + 8/3 + 4*b.
(b + 2)**3/3
Let s(t) = -t**2 + t - 4. Let j(n) = 3 - 3 + 1. Let o(l) = 4*j(l) + s(l). Suppose o(d) = 0. What is d?
0, 1
Let f(g) = -g**2 + g + 3. Suppose -d - 5 = -5*k - 0*d, 0 = -3*k - d - 5. Let l be f(k). Factor 1/2*c**5 - 1/2*c**4 + 0*c + 1/2*c**2 - 1/2*c**l + 0.
c**2*(c - 1)**2*(c + 1)/2
Let s = -5 - -8. Solve t**3 + 1 - 2*t + s*t - 4*t + 6*t + 3*t**2 = 0 for t.
-1
What is s in 9/7*s**2 - 3/7 + 6/7*s = 0?
-1, 1/3
Let p(w) = -w**2 - 1. Let n(g) = 34*g**2 - 46*g**3 + 4 - 3*g - 2*g**3 - 27*g**3. Let u(l) = n(l) + 4*p(l). Factor u(i).
-3*i*(5*i - 1)**2
Let r(v) be the third derivative of -v**8/504 + v**7/189 + v**6/540 - v**5/54 + v**4/54 + 13*v**2. Determine n so that r(n) = 0.
-1, 0, 2/3, 1
Let a(x) be the first derivative of 2*x**6/3 - 32*x**5/5 + 25*x**4 - 152*x**3/3 + 56*x**2 - 32*x - 1. Factor a(j).
4*(j - 2)**3*(j - 1)**2
Let m(d) be the third derivative of -d**7/4200 - d**6/900 - d**5/600 + d**3/6 - d**2. Let g(r) be the first derivative of m(r). Let g(b) = 0. Calculate b.
-1, 0
Factor 2*u - 1 - 11*u**3 + u**4 - u**3 + 10*u**3.
(u - 1)**3*(u + 1)
Let i = 195 + -575/3. Solve 4/3*m + 8/3*m**3 + 0 - 2/3*m**4 - i*m**2 = 0 for m.
0, 1, 2
Let m(l) be the third derivative of 1/210*l**7 + 0 + 7/240*l**6 + 0*l - 1/96*l**8 + 0*l**4 + l**2 + 0*l**3 - 1/60*l**5. Solve m(o) = 0 for o.
-1, 0, 2/7, 1
Let h be 1 + 0 - (-3)/(-9). Let d(g) = 4*g + 28. Let k be d(-7). Factor k*f - 2/3*f**2 + h.
-2*(f - 1)*(f + 1)/3
Let n be (-6)/(-9) - (-28)/12. Let o(j) be the first derivative of j**2 + 3 - 2/3*j**n + 2*j - 1/2*j**4. Factor o(g).
-2*(g - 1)*(g + 1)**2
Let q(v) be the second derivative of 0 + 0*v**2 + 1/12*v**4 + 4*v - 1/30*v**6 + 1/20*v**5 - 1/6*v**3. Factor q(u).
-u*(u - 1)**2*(u + 1)
Suppose -33 + 33 = -3*l. Let i(f) be the first derivative of 0*f**2 + 4 + l*f + 1/9*f**3. Determine g, given that i(g) = 0.
0
Let q(a) be the first derivative of a**6/1260 - a**5/210 + a**4/84 + 5*a**3/3 - 1. Let s(h) be the third derivative of q(h). Factor s(f).
2*(f - 1)**2/7
Let d(o) be the third derivative of -o**5/60 + o**4/12 - o**3/6 + o**2. Let k(j) = -j + 1. Let m(h) = 3*d(h) + 6*k(h). What is l in m(l) = 0?
-1, 1
Let v be 2/6 + (-2)/(-6). Let b = -5/7 + 22/21. Determine n so that -n - b*n**2 - v = 0.
-2, -1
Let r be 4/66*(72 - 63). Find w, given that 0*w - r*w**4 - 4/11*w**3 + 0 + 0*w**2 = 0.
-2/3, 0
Suppose -5*n + 10 = -4*f, -3*f = -5*n + 3 + 7. Factor -8/9*h**2 + 4/3*h**3 + f - 8/9*h**4 + 2/9*h**5 + 2/9*h.
2*h*(h - 1)**4/9
Find o, given that 12*o - 15/2*o**4 + 0 - 3/2*o**5 + 6*o**2 - 9*o**3 = 0.
-2, 0, 1
Let x = 1843/5 - 368. Let y = -1 + 1. Factor 3/5*w**2 + y + 6/5*w - x*w**3.
-3*w*(w - 2)*(w + 1)/5
Suppose -2*u + 25 = -29. Let y = u + -53/2. Factor 1/2*j**4 + j**3 + 1/2 - 1/2*j**5 - y*j - j**2.
-(j - 1)**3*(j + 1)**2/2
Let b = -21 - -30. Suppose 6*c + 6 = b*c. Determine h, given that 2/3 + h**3 - h - 2/3*h**c = 0.
-1, 2/3, 1
Let c(u) = 6*u**3 - 2*u**2 + 1. Let g be c(-2). Let v be (-22)/g - (-4)/15. Factor 0*d - 2/3 + v*d**2.
2*(d - 1)*(d + 1)/3
Let o = 871/2 + -435. Factor -1/4 - o*k**2 + 3/4*k.
-(k - 1)*(2*k - 1)/4
Let y(m) be the second derivative of m**6/150 - m**4/60 + 6*m. Factor y(x).
x**2*(x - 1)*(x + 1)/5
Let o(g) be the third derivative of 1/120*g**5 - 4*g**2 + 0*g**4 - 1/12*g**3 + 0*g + 0. Find v, given that o(v) = 0.
-1, 1
Factor 1/12 - 1/12*t**2 + 0*t.
-(t - 1)*(t + 1)/12
Find k, given that -12*k**2 + 12*k**3 + 4*k + 4 - 4*k**4 - 4 + 0*k**3 = 0.
0, 1
Suppose -8 = 3*z + 5*v, -2*z - 3*z - 5*v = 0. Let c = z - 1. Factor c*m**2 - m - 3*m**2 + m**2.
m*(m - 1)
Factor -4*j**2 + 3*j**4 - 15*j**4 - 4*j**2 + 28*j**3.
-4*j**2*(j - 2)*(3*j - 1)
Let c(n) be the third derivative of 0 + 1/336*n**8 + 0*n**4 + 1/210*n**7 + 7*n**2 + 0*n**3 - 1/120*n**6 - 1/60*n**5 + 0*n. Solve c(f) = 0.
-1, 0, 1
Let t be (-2)/(-13) + 20/208. Determine i so that t*i**2 - 1/2*i + 0 = 0.
0, 2
Let k(o) be the first derivative of -1/5*o**5 + 1/2*o**2 + 1/3*o**3 - 2 + 0*o - 1/4*o**4. Suppose k(h) = 0. Calculate h.
-1, 0, 1
Let i(y) be the third derivative of y**6/720 - y**5/80 + y**4/24 - y**3/6 - 5*y**2. Let h(b) be the first derivative of i(b). Factor h(d).
(d - 2)*(d - 1)/2
Let r = -4772/5 - -958. What is z in -r - 2/5*z**2 + 12/5*z = 0?
3
Let b(q) = -q**3 + 6*q**2 + 7*q - 4. Let j be b(7). Let p(g) = -g**2 - 5*g - 2. Let u be p(j). Determine s, given that 4/5 - u*s + 4/5*s**2 = 0.
1/2, 2
Determine t so that 12*t - 3/2*t**2 - 24 = 0.
4
Let 0 - 13/2*h**3 + 5/2*h**4 + 2*h**2 + 2*h = 0. What is h?
-2/5, 0, 1, 2
Let i(r) be the second derivative of r**4/2 + 2*r**3/3 - 5*r. Let i(n) = 0. What is n?
-2/3, 0
Suppose k - 16 = 5*k, d = 4*k + 20. Factor d*g**2 - 4*g**2 + 3*g**2 - 4*g + 10*g + 3.
3*(g + 1)**2
Factor -2/5 - 1/5*j**3 + 3/5*j + 0*j**2.
-(j - 1)**2*(j + 2)/5
Let v(d) = -d**2 + 10*d - 7. Let m be v(9). Solve -4 + 3*u - 5*u + 10*u**m + 4 - 8*u**3 = 0.
0, 1/4, 1
Let u(o) be the third derivative of o**6/120 + o**5/15 + o**4/8 - 14*o**2. Determine k, given that u(k) = 0.
-3, -1, 0
Find x such that 0*x - 1 + 1/4*x**2 = 0.
-2, 2
Let i = 97 + -2036/21. Let f(h) be the second derivative of 0*h**2 + 3*h - 1/42*h**4 + 0 - i*h**3. Factor f(d).
-2*d*(d + 1)/7
Let x(t) be the first derivative of -1/16*t**4 - 1/2*t - 1/3*t**3 - 5/8*t**2 - 4. Find g, given that x(g) = 0.
-2, -1
Factor 8*a**2 + 6 + a**2 - 26*a + 5*a.
3*(a - 2)*(3*a - 1)
Let j(p) = p**2 + p + 1. Le