0 - 1/20*l**5 + 1/8*l**4. Factor y(x).
-3*(x - 2)*(x + 1)
Factor -4/11*y - 3/11 - 1/11*y**2.
-(y + 1)*(y + 3)/11
Let d(s) = -s**2 - 3*s + 2 + 6*s - 1. Let b be d(3). Determine q so that -q**2 + 3*q + b - 3*q = 0.
-1, 1
Let y(n) be the second derivative of -n**7/21 + n**6/5 - 2*n**4/3 + 39*n. Factor y(m).
-2*m**2*(m - 2)**2*(m + 1)
Let i(u) be the second derivative of 2*u**7/21 - u**5/5 - 34*u. Factor i(o).
4*o**3*(o - 1)*(o + 1)
Let m(i) = -i**2 - 2*i. Let c be (-106)/8 + 2/8. Let w(s) = 2*s**2 - 175 + 175 + 4*s. Let j(v) = c*m(v) - 6*w(v). Let j(n) = 0. Calculate n.
-2, 0
Suppose -2*f - n - 3*n + 18 = 0, 3 = 3*f - 2*n. Let 0 + 0*k - 3/4*k**4 + 3/4*k**f + 1/4*k**5 - 1/4*k**2 = 0. Calculate k.
0, 1
Solve 0 - 2/9*g**3 - 2/9*g**4 + 2/9*g**2 + 2/9*g = 0 for g.
-1, 0, 1
Let c(s) be the first derivative of -s**4/48 - s**3/6 - 3*s**2/8 + 3*s - 3. Let l(f) be the first derivative of c(f). Factor l(t).
-(t + 1)*(t + 3)/4
Suppose -5*u - 20 = 0, -m + 3*u - u = -13. Suppose m*a - 7 = k, -a = 3*a + 2*k - 14. Suppose 4*y - a + y**2 - 2*y + 3 = 0. What is y?
-1
Let d(m) be the first derivative of m**3/15 - m**2/5 + m/5 - 13. Factor d(h).
(h - 1)**2/5
Let m be (-5*(-20)/50)/((-1)/(-1)). Factor 1/5*r**m + 2/5*r + 1/5.
(r + 1)**2/5
Find n such that 35 + 152*n**2 - 100*n**3 - 4*n**5 + 2 - 5 - 112*n + 32*n**4 = 0.
1, 2
Let h(p) = -p**2 - 12*p + 2. Let s(n) = 9*n**2 + 120*n - 21. Let b(r) = -21*h(r) - 2*s(r). Find v, given that b(v) = 0.
-4, 0
Let g(f) = -23*f**2 - 12*f - 6. Let j(i) = 4*i**2 + 2*i + 1. Let n(p) = 6*g(p) + 34*j(p). Factor n(t).
-2*(t + 1)**2
Suppose 3*n = -z + 38 + 333, 1909 = 5*z - 3*n. Let r be (z/45)/(-4) - -3. What is o in 10/9*o**2 - 10/9*o**4 + 2/9*o + 0 + 2/3*o**3 - r*o**5 = 0?
-1, -1/4, 0, 1
Let g = 9 + -5. Determine b, given that -g*b**5 + 4*b + 0*b**4 - 8*b**4 + 7*b**2 + b**2 = 0.
-1, 0, 1
Let j(q) be the first derivative of -2 + 2/9*q + 0*q**2 - 2/27*q**3. Factor j(z).
-2*(z - 1)*(z + 1)/9
Let b(a) be the third derivative of -a**5/330 + 7*a**4/132 + 11*a**2. Solve b(z) = 0 for z.
0, 7
Suppose 0 + 21/2*b**2 + 0*b + 3/4*b**3 = 0. What is b?
-14, 0
Factor -24*c**2 - c**3 - 29*c**2 + 54*c**2.
-c**2*(c - 1)
Let z(m) be the first derivative of 27/2*m + 2 - 1/8*m**4 - 27/4*m**2 + 3/2*m**3. Factor z(l).
-(l - 3)**3/2
Let h(w) be the first derivative of -2*w**3 + 7*w**2/2 + 4*w + 1. Let q(g) = g**2 - g - 1. Let r(d) = 2*h(d) + 10*q(d). Factor r(s).
-2*(s - 1)**2
Let t be (-5)/(-3) - (-7 + 8). Factor 0 + 4/3*v**2 - 2*v**3 + t*v.
-2*v*(v - 1)*(3*v + 1)/3
Let f be 2 + 0 + (-179)/90. Let o(g) be the second derivative of 0 + 0*g**2 + 1/27*g**4 - f*g**5 - 1/27*g**3 + 2*g. Factor o(p).
-2*p*(p - 1)**2/9
Let h be (156/45 + -4)/(4/(-10)). Factor 8/3*d - 8/3 + h*d**3 + 14/3*d**2.
2*(d + 2)**2*(2*d - 1)/3
Let x(m) be the second derivative of -109/48*m**4 + 3/2*m**3 + 0 + 2*m - 49/120*m**6 + 63/40*m**5 - 1/2*m**2. Factor x(f).
-(f - 1)**2*(7*f - 2)**2/4
Let y(n) = -n**2 + 9*n - 5. Let a be y(8). Factor -4*f**4 + 12*f**3 + 12*f**3 + 4*f**2 - 32*f**a + 8*f.
-4*f*(f - 1)*(f + 1)*(f + 2)
Let u = 2203/30 - 425/6. Let y = 3 - u. Factor 4/5*i - y - 2/5*i**2.
-2*(i - 1)**2/5
Suppose -7*a = -4*a - 18. Let k be (-5)/(-10)*a + -1. Determine m, given that 0*m**k + 2/7*m**3 + 0*m + 0*m**4 + 0 - 2/7*m**5 = 0.
-1, 0, 1
Solve 0*l**2 + 4/5*l**5 + 0 + 0*l + 12/5*l**4 + 8/5*l**3 = 0.
-2, -1, 0
Let j = 101 - 101. Let 0 + 0*q**3 + j*q + 3/5*q**2 - 3/5*q**4 = 0. What is q?
-1, 0, 1
Let f(g) = -g - 3. Let r be f(-6). Let z(v) = -v**3 - 10*v**2 - 9*v. Let h be z(-9). Factor h + 0*a + 1/4*a**2 - 3/4*a**r - 1/4*a**5 + 3/4*a**4.
-a**2*(a - 1)**3/4
Suppose 3*v = 2*v. Let r(h) be the second derivative of v + 1/20*h**5 - 2*h + 0*h**3 - 1/12*h**4 + 0*h**2. Determine n so that r(n) = 0.
0, 1
Let h be (16/(-20))/(2/(-5)). Let t(o) = o**2 - o + 1. Let i be t(h). Let i*z**3 + 5*z - 5*z + 2*z**2 - 2*z**3 = 0. What is z?
-2, 0
Let y be ((-5)/(-10))/(-6 - 136/(-16)). Factor -3/5*g + y*g**2 + 0.
g*(g - 3)/5
Let n(c) be the second derivative of -c**5/20 - 11*c**4/12 - 13*c**3/2 - 45*c**2/2 + 7*c. Factor n(g).
-(g + 3)**2*(g + 5)
Let y = -1 + 13. Suppose 0 = b - 2*h - 4, -b - y = -5*b + 4*h. Let b*n**4 - 5/2*n**3 + 5/2*n - 1/2 - 3/2*n**2 = 0. What is n?
-1, 1/4, 1
Suppose -f - b + 14 = 0, 2*f = -0*b + 3*b + 23. Factor 3*y + f + 2*y**2 - 5 + 5*y.
2*(y + 2)**2
Let r(l) = -l**2 + 11*l + 12. Let x be r(12). Factor 0*y - 1/2*y**3 + 1/2*y**2 + x.
-y**2*(y - 1)/2
Suppose 10 = 3*j + 1. Let h(w) be the first derivative of 2 + 1/7*w**4 + 0*w**j + 2/7*w - 2/35*w**5 - 2/7*w**2. Suppose h(y) = 0. Calculate y.
-1, 1
Let a(s) be the third derivative of -s**8/588 + 4*s**7/245 - 11*s**6/210 + 2*s**5/105 + 2*s**4/7 - 16*s**3/21 + 25*s**2. Let a(c) = 0. Calculate c.
-1, 1, 2
Let x(s) = -s**4 - 3*s**3 + 5*s**2 - s. Let r(n) = -n**4 - 3*n**3 + 6*n**2 - 2*n. Let m(j) = -5*r(j) + 6*x(j). Determine t, given that m(t) = 0.
-2, 0, 1
Suppose -28 = -3*i - i. Suppose -o - 4 = 0, d - i*o = -2*o + 24. Factor g**2 + 6 - 2 - g**4 - d.
-g**2*(g - 1)*(g + 1)
What is a in 15 + 10*a**4 - 32*a**4 + 35*a - 35*a**3 - 5*a**2 + 12*a**4 = 0?
-3, -1, -1/2, 1
Let k(v) be the second derivative of v**5/60 + 2*v**4/9 + 10*v**3/9 + 8*v**2/3 - 19*v. Factor k(i).
(i + 2)**2*(i + 4)/3
Factor -2/3 - c**2 + 5/3*c.
-(c - 1)*(3*c - 2)/3
Find o, given that -2/5*o**3 + 0*o - 1/5*o**4 + 3/5*o**5 + 0*o**2 + 0 = 0.
-2/3, 0, 1
Let y(r) be the second derivative of -r**7/630 + r**6/90 - r**5/36 + r**4/36 + r**2 + 3*r. Let x(f) be the first derivative of y(f). Factor x(h).
-h*(h - 2)*(h - 1)**2/3
Let i(o) be the first derivative of -7*o**5/390 + o**4/26 + o**3/39 - 3*o**2 - 6. Let d(j) be the second derivative of i(j). Factor d(n).
-2*(n - 1)*(7*n + 1)/13
Let u(x) be the second derivative of 0*x**4 + 0 + 0*x**2 + 1/65*x**5 - 1/273*x**7 - 5*x - 1/39*x**3 + 0*x**6. Determine y so that u(y) = 0.
-1, 0, 1
Let x = 455 + -455. Let d(n) = -n + 7. Let w be d(5). Solve x - 2/9*l**w + 2/9*l**3 + 0*l = 0.
0, 1
Let b(g) = g**3 + 2*g**2 - 8*g + 5. Let x = -7 + 1. Let s(z) = 3*z**2 - 9*z + 6. Let l(h) = x*b(h) + 5*s(h). Factor l(o).
-3*o*(o - 1)*(2*o + 1)
Let g(s) be the second derivative of -2*s**2 + 0*s**6 + s**3 + 1/3*s**4 - s + 0 - 2/5*s**5 + 1/21*s**7. Solve g(b) = 0.
-2, -1, 1
Let a be (-29 + 31)*(-1)/(-6). Factor -4/3*q + a*q**2 + 4/3.
(q - 2)**2/3
Let z(r) be the second derivative of -4*r**5/5 - 5*r**4/3 - 2*r**3/3 + 3*r. Factor z(m).
-4*m*(m + 1)*(4*m + 1)
Suppose -35 = -3*a - 4*x, -3*a - 5 = -2*x - 2*x. Suppose -3 = -k + 4*z, -a*k = -2*z - 8 - 7. Factor 0*d + 0 - 4/11*d**2 + 2/11*d**k.
2*d**2*(d - 2)/11
Let d(x) be the second derivative of x + 1/720*x**6 + 0 + 0*x**5 - 1/2*x**3 + 0*x**4 + 0*x**2. Let z(a) be the second derivative of d(a). Factor z(i).
i**2/2
Let a be 34/182 - (-9)/252*12. Factor 2/13*i**3 + 0 + 8/13*i**2 + a*i.
2*i*(i + 2)**2/13
Let x(i) be the first derivative of -i**6/48 + i**5/40 + i**4/32 - i**3/24 + 18. Suppose x(p) = 0. What is p?
-1, 0, 1
Suppose -20 + 0 = 4*d, 0 = 4*n + 2*d - 22. Let c = n + -5. Let s(j) = 2*j**2 - 3*j - 2. Let a(m) = 2*m**2 - 4*m - 2. Let u(p) = c*a(p) - 4*s(p). Factor u(l).
-2*(l - 1)*(l + 1)
Let a be 2/(-6) - 10/(-3). Let f be a + (-1)/(-2)*-2. Factor -2*o + 2*o**2 + 3*o - o**f + 3*o**2.
o*(4*o + 1)
Suppose -4*z = -5*p + 17, 0 = -z - 0*z + p - 3. Let 1/4 - 1/4*j**z - 1/2*j**3 + 1/2*j = 0. What is j?
-1, -1/2, 1
Suppose 5*u - 4*h = 17 + 9, 0 = 4*u - h - 12. Suppose -u*p + r = 3*r, 0 = -2*r - 8. Let p*q**2 - q + 0*q**2 + 3*q + 2*q**3 = 0. Calculate q.
-1, 0
Let d(x) be the third derivative of -x**8/108 + 38*x**7/945 - x**6/18 + x**5/135 + x**4/27 - 15*x**2. Solve d(a) = 0.
-2/7, 0, 1
Let t = -1668 - -200161/120. Let c(j) be the third derivative of 1/16*j**4 + j**2 + 0 + 1/6*j**3 + t*j**5 + 0*j. Factor c(r).
(r + 1)*(r + 2)/2
Suppose -2 = -5*g + 13. Factor 2 - 4*z**2 - 4 + 10*z**2 + 4*z**g.
2*(z + 1)**2*(2*z - 1)
Let m(v) = 8*v**5 - 12*v**4 + 4*v**2 + 4. Let n(l) = l**5 - l**4 - l**2 + l + 1. Let b(x) = -m(x) + 4*n(x). Factor b(s).
-4*s*(s - 1)**3*(s + 1)
Solve -4*x - 197*x**3 - x + 202*x**3 = 0.
-1, 0, 1
Let g be 2*1/1008 - 0. Let w(y) be the third derivative of 0*y**3 + 1/60*y**6 + y**2 + 0*y - 1/105*y**7 + 0 + g*y**8 + 0*y**4 - 1/90*y**5. Factor w(o).
2*o**2*(o - 1)**3/3
Let d be (1/(-2) - -1)*-2. Let k be 0 + d + (